Kazimir Majorinc http://kazimirmajorinc.blogspot.com http://instprog.com Lot of Reduced Lambda Expressions ------ 150001/16149702. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) b) REDUCED to normal form. ------ 150002/16149720. ------ 1. ==[ start ]==> (((^a.b)(a b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(a b))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 150003/16149729. ------ 1. ==[ start ]==> (((a b)(^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 150004/16149783. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 150005/16149837. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 150006/16149864. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 150007/16149927. ------ 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. ------ 150008/16149954. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x)) b)((^z.z) a)) 8. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) a)) 9. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 150009/16149981. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 150010/16150008. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(b a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(b a))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))(b a))(a (^x.x))) REDUCED to normal form. ------ 150011/16150035. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 150012/16150062. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(a b))) REDUCED to normal form. ------ 150013/16150593. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b c)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)(c (^x.(^y.y)))) REDUCED to normal form. ------ 150014/16150620. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(b (^x.a))) REDUCED to normal form. ------ 150015/16150665. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((b (^y.y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 150016/16150692. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.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. ------ 150017/16150728. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z) a)((^z.z) 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. ------ 150018/16150746. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^z1.(z1 z1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.(y1 y1)))) REDUCED to normal form. ------ 150019/16150755. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 150020/16150827. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 150021/16150836. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 150022/16150863. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 150023/16150944. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 150024/16150971. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((b (^x.a))(^z.a)) 6. ==[ alpha ]==> ((b (^x.a))(^y.a)) REDUCED to normal form. ------ 150025/16151061. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(b (^x.x)))(a a)) REDUCED to normal form. ------ 150026/16151088. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 150027/16151115. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a b)((a a)(^y.y))) 8. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 150028/16151223. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c d)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c d)) 3. ==[ beta ]==> (((a b)(a a))(c d)) REDUCED to normal form. ------ 150029/16151358. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(c ((^z.z) a))) 3. ==[ beta ]==> ((b ((^y.y) a))(c ((^z.z) a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(c ((^y.y) a))) 5. ==[ beta ]==> ((b a)(c ((^y.y) a))) 6. ==[ alpha ]==> ((b a)(c ((^x.x) a))) 7. ==[ beta ]==> ((b a)(c a)) REDUCED to normal form. ------ 150030/16151385. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b (a (a a)))) REDUCED to normal form. ------ 150031/16151439. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (a a))(a a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 150032/16151610. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 150033/16151718. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150034/16151835. ------ 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. ------ 150035/16151880. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 150036/16151934. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a a)(^z.a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a a)(^z.a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a a)(^z.a))) 5. ==[ beta ]==> ((b ((^y.y) b))((a a)(^z.a))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a a)(^y.a))) 7. ==[ beta ]==> ((b b)((a a)(^y.a))) 8. ==[ alpha ]==> ((b b)((a a)(^x.a))) REDUCED to normal form. ------ 150037/16151943. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^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. ------ 150038/16151970. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150039/16152015. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 150040/16152024. ------ 1. ==[ start ]==> (((a b)(^c.(^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. ------ 150041/16152051. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(c (^z.z))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(c (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 150042/16152078. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 150043/16152123. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((a (^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150044/16152132. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 150045/16152159. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((b (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 150046/16152186. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 150047/16152240. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.z))) 5. ==[ beta ]==> ((^y.y)(b (^z.z))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150048/16152258. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((^z.z) b)) 3. ==[ beta ]==> ((a (^x.(x (^y.y)))) b) REDUCED to normal form. ------ 150049/16152276. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(b a)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(b a)) 3. ==[ beta ]==> (((a a)(^y.y))(b a)) 4. ==[ alpha ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 150050/16152303. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(a b)) REDUCED to normal form. ------ 150051/16152330. ------ 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. ------ 150052/16152357. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(a a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(a a)) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 150053/16155528. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^z.(^x1.(a a)))(^z.(^x1.(a a))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(a a)))(^z.(^x1.(a a))))(^y1.y1)) 5. ==[ beta ]==> ((^y.(a a))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 150054/16157724. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150055/16159038. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150056/16160118. ------ 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 (^y.y)) 5. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150057/16162200. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b)) b) 2. ==[ alpha ]==> (((a (a a))((^x.x) b)) b) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 150058/16162224. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150059/16162269. ------ 1. ==[ start ]==> ((^a.b)(c (^d.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(c (^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 150060/16162305. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150061/16162326. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 150062/16162539. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 150063/16162731. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.(^z.z)) a))) 5. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 150064/16164105. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((^y.(a a))(^z.b)) b) 4. ==[ alpha ]==> (((^x.(a a))(^y.b)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 150065/16164306. ------ 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)))) REDUCED to normal form. ------ 150066/16164492. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(a b))) 3. ==[ beta ]==> (^y.(((a b)(a b))((a b)(a b)))) 4. ==[ alpha ]==> (^x.(((a b)(a b))((a b)(a b)))) REDUCED to normal form. ------ 150067/16165017. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 150068/16165377. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 150069/16166052. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.((^a.a) b))) 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. ------ 150070/16166679. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 150071/16166700. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 150072/16166967. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150073/16167303. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 150074/16167570. ------ 1. ==[ start ]==> ((^a.(^b.b))((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. ------ 150075/16167573. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(b a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(b a))) REDUCED to normal form. ------ 150076/16167591. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 150077/16167852. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150078/16167861. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(z a))) REDUCED to normal form. ------ 150079/16168383. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 150080/16168644. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 150081/16168887. ------ 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. ------ 150082/16169778. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(x x)))) REDUCED to normal form. ------ 150083/16169964. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150084/16169967. ------ 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. ------ 150085/16170966. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 150086/16171218. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 7. ==[ beta ]==> (^y.(a (a a))) 8. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 150087/16171632. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 150088/16171713. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 150089/16171848. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 150090/16171944. ------ 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 (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 150091/16171965. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^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. ------ 150092/16171992. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 150093/16172019. ------ 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. ------ 150094/16172046. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.(^z.z))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 150095/16172076. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y) b))) 3. ==[ beta ]==> ((a (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 150096/16172103. ------ 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. ------ 150097/16172121. ------ 1. ==[ start ]==> ((a b)(c (^d.(^a.a)))) 2. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 150098/16172130. ------ 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. ------ 150099/16172157. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 150100/16172175. ------ 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. ------ 150101/16172193. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)(^x1.x1))) 5. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 6. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150102/16172220. ------ 1. ==[ start ]==> (((a a) b)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 150103/16172247. ------ 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. ------ 150104/16172274. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 150105/16172301. ------ 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.(^z1.z1)))) REDUCED to normal form. ------ 150106/16172355. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((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. ------ 150107/16172391. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 150108/16172463. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 150109/16172490. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 150110/16172580. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)((^x.x) 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)((^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. ------ 150111/16172904. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 150112/16172931. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 150113/16173021. ------ 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. ------ 150114/16173048. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 150115/16173102. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 150116/16173156. ------ 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. ------ 150117/16173183. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a))(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. ------ 150118/16173237. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 150119/16173570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (b (((^y.y)(a a))(^z.b))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.b))) 7. ==[ beta ]==> (b ((a a)(^y.b))) 8. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 150120/16173597. ------ 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. ------ 150121/16173678. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 150122/16173705. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^b.b))) 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. ------ 150123/16173849. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.b)(^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. ------ 150124/16173876. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 150125/16173957. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.b))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 150126/16174128. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b ((a a)(a a)))) 3. ==[ beta ]==> (b (b ((a a)(a a)))) REDUCED to normal form. ------ 150127/16174155. ------ 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. ------ 150128/16174182. ------ 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. ------ 150129/16174218. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 150130/16174236. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 150131/16174317. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (b (((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 150132/16174344. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(a b))) REDUCED to normal form. ------ 150133/16174497. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 150134/16174731. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 150135/16174812. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 150136/16174866. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 150137/16174893. ------ 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. ------ 150138/16174920. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(b b)) REDUCED to normal form. ------ 150139/16174947. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.(^x1.x1))) c)) REDUCED to normal form. ------ 150140/16175037. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 150141/16175064. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.b))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 150142/16175118. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))(^c.(^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. ------ 150143/16175172. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 150144/16175199. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 150145/16175262. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 5. ==[ beta ]==> (((^y.y) b)(a a)) 6. ==[ alpha ]==> (((^x.x) b)(a a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 150146/16175397. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)((a a) a))) 3. ==[ beta ]==> (b ((a b)((a a) a))) REDUCED to normal form. ------ 150147/16175478. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 150148/16175505. ------ 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)(b a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(b a))) 5. ==[ beta ]==> (((^y.y) a)(b a)) 6. ==[ alpha ]==> (((^x.x) a)(b a)) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 150149/16175559. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)((^y.y) b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((^x.x) b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a) b)) REDUCED to normal form. ------ 150150/16175595. ------ 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) b)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150151/16175622. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 150152/16175649. ------ 1. ==[ start ]==> (((a b)(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 150153/16175676. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 150154/16175703. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 150155/16175739. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 150156/16175793. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 150157/16175820. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 150158/16175847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(b a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(b a))) 7. ==[ beta ]==> ((^y.y)((^z.a)(b a))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 9. ==[ beta ]==> ((^y.a)(b a)) 10. ==[ alpha ]==> ((^x.a)(b a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 150159/16175874. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 150160/16175901. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a b) a)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y) b))) 5. ==[ beta ]==> (((a b) a)((^y.y) b)) 6. ==[ alpha ]==> (((a b) a)((^x.x) b)) 7. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 150161/16175928. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.b)(^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. ------ 150162/16175955. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 150163/16176261. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((b a)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((b a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 150164/16176288. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((b a)(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. ------ 150165/16176324. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) d)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 150166/16176342. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (((a b)(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 150167/16176423. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 150168/16176531. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 150169/16176549. ------ 1. ==[ start ]==> (((a a)(b a))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.x))) REDUCED to normal form. ------ 150170/16176576. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 150171/16176630. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 150172/16176657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 150173/16176684. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 150174/16176711. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 150175/16176738. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a b))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 150176/16176765. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 150177/16176819. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 150178/16177125. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 150179/16177152. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(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. ------ 150180/16177206. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 150181/16177215. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 150182/16177287. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 150183/16177395. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150184/16177422. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(b a))) REDUCED to normal form. ------ 150185/16177440. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 150186/16177521. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 150187/16177548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a b)((^y.b)(a (a a)))) 6. ==[ alpha ]==> ((a b)((^x.b)(a (a a)))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 150188/16177602. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 150189/16177629. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(a b))) 5. ==[ beta ]==> (((a a)(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 150190/16177656. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 150191/16177710. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(b a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(b a)) REDUCED to normal form. ------ 150192/16177908. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (a b))) 3. ==[ beta ]==> (b (d (a b))) REDUCED to normal form. ------ 150193/16178016. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a)(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150194/16178025. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 150195/16178052. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(a a)) c)) 3. ==[ beta ]==> ((b a)((^y.(a a)) c)) 4. ==[ alpha ]==> ((b a)((^x.(a a)) c)) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 150196/16178070. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)((a b)((^y.y) a))) 5. ==[ beta ]==> (b ((a b)((^y.y) a))) 6. ==[ alpha ]==> (b ((a b)((^x.x) a))) 7. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 150197/16178097. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 150198/16178151. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 150199/16178232. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (b ((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 150200/16178268. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 150201/16178295. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 150202/16178349. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) REDUCED to normal form. ------ 150203/16178376. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 150204/16178412. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a a) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 150205/16178439. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 150206/16178466. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 150207/16178493. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 150208/16178547. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 150209/16178574. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 150210/16178628. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 150211/16178682. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 150212/16178709. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 150213/16178772. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 150214/16178907. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^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. ------ 150215/16179051. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 150216/16179078. ------ 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. ------ 150217/16179132. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 150218/16179159. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.b))) REDUCED to normal form. ------ 150219/16179240. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a b) b)) REDUCED to normal form. ------ 150220/16179267. ------ 1. ==[ start ]==> (((a b)(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.b))(((a a) a) c)) REDUCED to normal form. ------ 150221/16179429. ------ 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. ------ 150222/16179600. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b (^y.b))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (^y.b))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.b))) REDUCED to normal form. ------ 150223/16179627. ------ 1. ==[ start ]==> (((a b)(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))(a (^x.(a a)))) REDUCED to normal form. ------ 150224/16179654. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.b)(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(a a))) 5. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 150225/16179735. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 150226/16179762. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 150227/16179789. ------ 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. ------ 150228/16179816. ------ 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. ------ 150229/16179987. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 150230/16180095. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150231/16180266. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((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. ------ 150232/16180293. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 150233/16180374. ------ 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. ------ 150234/16180401. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y) b)) 7. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 150235/16180653. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 150236/16180707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 150237/16180734. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 150238/16180761. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 150239/16180788. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 150240/16180815. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 150241/16180869. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 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. ------ 150242/16180896. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((b a)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 150243/16180923. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 150244/16181067. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 150245/16181148. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 150246/16181256. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(c (a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150247/16181391. ------ 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)((a a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 150248/16181472. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(b c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(b c)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(b c)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(b c)) 5. ==[ beta ]==> ((b ((^y.y) b))(b c)) 6. ==[ alpha ]==> ((b ((^x.x) b))(b c)) 7. ==[ beta ]==> ((b b)(b c)) REDUCED to normal form. ------ 150249/16181481. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 150250/16181508. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(((^z1.z1) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150251/16181553. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 150252/16181562. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 150253/16181589. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.a) a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a) a)) 5. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 150254/16181616. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 150255/16181670. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 150256/16181697. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(y y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 150257/16181724. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 150258/16181778. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150259/16181796. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((a a)(a a))) REDUCED to normal form. ------ 150260/16181814. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(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. ------ 150261/16181841. ------ 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 (^y.y)))(a a)) REDUCED to normal form. ------ 150262/16181868. ------ 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. ------ 150263/16181895. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 150264/16183626. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 150265/16189665. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150266/16191747. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b)) c) 2. ==[ alpha ]==> (((a (a a))((^x.x) b)) c) 3. ==[ beta ]==> (((a (a a)) b) c) REDUCED to normal form. ------ 150267/16191873. ------ 1. ==[ start ]==> (((^a.a) b)(^c.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (b (^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (b (^x.((^y.(^z.z)) a))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 150268/16191906. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> ((((^z.(^x1.x1)) a)(^y1.y1))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150269/16192023. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 150270/16192095. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ eta ]==> ((^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. ------ 150271/16192266. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 150272/16192590. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150273/16193148. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((((a a)(a a))(^y.(^z.z)))(((a a)(a a))(^y.(^z.z))))(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((((a a)(a a))(^x.(^y.y)))(((a a)(a a))(^z.(^x1.x1))))(((a a)(a a))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 150274/16193481. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 150275/16193484. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(y (^z.z)))) REDUCED to normal form. ------ 150276/16193871. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(b (^z.z)))) REDUCED to normal form. ------ 150277/16194222. ------ 1. ==[ start ]==> (((^a.b) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((a a)(a a)))) 3. ==[ beta ]==> (b (^y.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 150278/16194255. ------ 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. ------ 150279/16195608. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^b.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 150280/16195686. ------ 1. ==[ start ]==> ((^a.(b a))((b a) c)) 2. ==[ alpha ]==> ((^x.(b x))((b a) c)) 3. ==[ eta ]==> (b ((b a) c)) REDUCED to normal form. ------ 150281/16196235. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 150282/16196859. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 150283/16197441. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((b a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((b a) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 150284/16197948. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 150285/16199136. ------ 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. ------ 150286/16199520. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150287/16199523. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 150288/16199910. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 150289/16200072. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 150290/16200243. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 150291/16200681. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1)) a)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150292/16201125. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 150293/16201269. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^d.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 150294/16201296. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.(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)) REDUCED to normal form. ------ 150295/16201368. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(^x2.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150296/16201431. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^a.c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.c)) REDUCED to normal form. ------ 150297/16201485. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 7. ==[ beta ]==> (^y.(y (^z.z))) 8. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 150298/16201500. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(b (^x1.x1))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 150299/16201521. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^b.b)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 150300/16201548. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 150301/16201602. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^b.a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.a)) 3. ==[ beta ]==> (((a (a a)) b)(^y.a)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 150302/16201650. ------ 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. ------ 150303/16201677. ------ 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. ------ 150304/16201704. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 150305/16201731. ------ 1. ==[ start ]==> (((^a.a) b)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) b)((a a)((^y.(^z.z)) a))) 3. ==[ beta ]==> (b ((a a)((^y.(^z.z)) a))) 4. ==[ alpha ]==> (b ((a a)((^x.(^y.y)) a))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 150306/16201767. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 150307/16201857. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b)(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. ------ 150308/16201884. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 150309/16201902. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(^y.a))) REDUCED to normal form. ------ 150310/16201929. ------ 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. ------ 150311/16201956. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 150312/16201965. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 150313/16201992. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 150314/16202046. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 150315/16202073. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 150316/16202127. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 150317/16202172. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.(^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)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 150318/16202199. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b (^y.y)) b)) 3. ==[ beta ]==> ((a (a a))((b (^y.y)) b)) 4. ==[ alpha ]==> ((a (a a))((b (^x.x)) b)) REDUCED to normal form. ------ 150319/16202262. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.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. ------ 150320/16202370. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 150321/16202451. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 150322/16202541. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (b (^y.y)))) 3. ==[ beta ]==> ((b b)(b (b (^y.y)))) 4. ==[ alpha ]==> ((b b)(b (b (^x.x)))) REDUCED to normal form. ------ 150323/16202676. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 150324/16202703. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((b a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a ((b a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a ((b a)(^y.y))) 8. ==[ alpha ]==> (a ((b a)(^x.x))) REDUCED to normal form. ------ 150325/16202730. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 150326/16202757. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(a b))) REDUCED to normal form. ------ 150327/16202784. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.a))((a b)(a a))) REDUCED to normal form. ------ 150328/16202811. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 150329/16202838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 9. ==[ beta ]==> ((^y.y)(b a)) 10. ==[ alpha ]==> ((^x.x)(b a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 150330/16202982. ------ 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))) REDUCED to normal form. ------ 150331/16203009. ------ 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. ------ 150332/16203045. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 150333/16203180. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 150334/16203261. ------ 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))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.(^z.z))))) 9. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 10. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 150335/16203342. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.y))) REDUCED to normal form. ------ 150336/16203360. ------ 1. ==[ start ]==> (((a a)((a a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a) a))((b (^x.x)) a)) REDUCED to normal form. ------ 150337/16203387. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a)) b)) REDUCED to normal form. ------ 150338/16203414. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) b) c)) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) b) c)) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b) c)) 5. ==[ beta ]==> ((a (a (a a)))(b c)) REDUCED to normal form. ------ 150339/16203531. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 150340/16203675. ------ 1. ==[ start ]==> ((((a a) a) b)(c ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) b)(c ((^x.x) b))) 3. ==[ beta ]==> ((((a a) a) b)(c b)) REDUCED to normal form. ------ 150341/16203693. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150342/16203702. ------ 1. ==[ start ]==> (((a b) a)(b ((a a)(a a)))) REDUCED to normal form. ------ 150343/16203729. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (b (^y.y)))) REDUCED to normal form. ------ 150344/16203783. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 150345/16203810. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 150346/16203837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)((b a)(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((b a)(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 150347/16203864. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 150348/16203891. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 150349/16204080. ------ 1. ==[ start ]==> (((^a.b) b)((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a a)((a a)(a a)))) 3. ==[ beta ]==> (b ((a a)((a a)(a a)))) REDUCED to normal form. ------ 150350/16204116. ------ 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. ------ 150351/16204125. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(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. ------ 150352/16204152. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.b)(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. ------ 150353/16204287. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (b ((^x1.b)(a b))) 4. ==[ alpha ]==> (b ((^x.b)(a b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 150354/16204341. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 150355/16204368. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 5. ==[ beta ]==> ((^y.(y y))(b a)) 6. ==[ alpha ]==> ((^x.(x x))(b a)) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 150356/16204422. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150357/16204503. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.b)(^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. ------ 150358/16204728. ------ 1. ==[ start ]==> (((^a.b) c)(d (b a))) 2. ==[ alpha ]==> (((^x.b) c)(d (b a))) 3. ==[ beta ]==> (b (d (b a))) REDUCED to normal form. ------ 150359/16204971. ------ 1. ==[ start ]==> (((a b) c)((a b)((a a) a))) REDUCED to normal form. ------ 150360/16204998. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)(a b))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(a b))) REDUCED to normal form. ------ 150361/16205025. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 150362/16205079. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (b a))) REDUCED to normal form. ------ 150363/16205106. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 150364/16205124. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^b.b))) 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. ------ 150365/16205205. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 150366/16205304. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 150367/16205331. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.b))) REDUCED to normal form. ------ 150368/16205358. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a b))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a (a b))(^y.(a a))) 8. ==[ alpha ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 150369/16205439. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 150370/16205466. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^b.b))) 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. ------ 150371/16205493. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) b) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) b) a)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 150372/16205520. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 150373/16205547. ------ 1. ==[ start ]==> ((a (b a))((b a) c)) REDUCED to normal form. ------ 150374/16205637. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.a))) 5. ==[ beta ]==> (b ((^z.b)(^x1.a))) 6. ==[ alpha ]==> (b ((^x.b)(^y.a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 150375/16205718. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150376/16205781. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 150377/16205889. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 150378/16205916. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 150379/16205970. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 150380/16205997. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a b))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a b)) REDUCED to normal form. ------ 150381/16206024. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 150382/16206051. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 150383/16206096. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 150384/16206141. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 150385/16206168. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 150386/16206195. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 150387/16206222. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.(y y)))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 150388/16206249. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 150389/16206276. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a) a)(^x.a))) REDUCED to normal form. ------ 150390/16206303. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.b))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.b))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 9. ==[ beta ]==> (((a a) a)(^y.b)) 10. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 150391/16206330. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 150392/16206393. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(b a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150393/16206555. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 150394/16206663. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150395/16206699. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (b a))) REDUCED to normal form. ------ 150396/16206717. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 150397/16206780. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 150398/16206807. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 150399/16206861. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 150400/16206888. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 150401/16206915. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(a b))) REDUCED to normal form. ------ 150402/16206969. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) REDUCED to normal form. ------ 150403/16207032. ------ 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. ------ 150404/16207059. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 150405/16207086. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a 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. ------ 150406/16207113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a b))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)((a b)(^y.(y y)))) 6. ==[ alpha ]==> ((a b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 150407/16207140. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 150408/16207167. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.a)) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 150409/16207194. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (a 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. ------ 150410/16207221. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.(a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(a a)))) REDUCED to normal form. ------ 150411/16207302. ------ 1. ==[ start ]==> ((a ((^a.a) b))((b a) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((b a) a)) 3. ==[ beta ]==> ((a b)((b a) a)) REDUCED to normal form. ------ 150412/16207473. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 150413/16207590. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 150414/16207617. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> ((b a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((b a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 150415/16207644. ------ 1. ==[ start ]==> (((a a)(^b.b))((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. ------ 150416/16207671. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 150417/16207752. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 150418/16207779. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 150419/16207797. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 150420/16207806. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 150421/16207905. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150422/16207977. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 150423/16208004. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.b))) REDUCED to normal form. ------ 150424/16208031. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 150425/16208085. ------ 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)) REDUCED to normal form. ------ 150426/16208112. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(a b))((a a) b)) REDUCED to normal form. ------ 150427/16208139. ------ 1. ==[ start ]==> (((a b)((a a) a))((a b) c)) REDUCED to normal form. ------ 150428/16208580. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150429/16208661. ------ 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. ------ 150430/16208688. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 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. ------ 150431/16208742. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 150432/16208823. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 150433/16208931. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150434/16208940. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c ((a a) a))) REDUCED to normal form. ------ 150435/16208967. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (a b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 150436/16208994. ------ 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. ------ 150437/16209030. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.b) b)) 3. ==[ beta ]==> (((a a)((a a)(a a))) b) REDUCED to normal form. ------ 150438/16209057. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a) c)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) c)) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 150439/16209219. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a b)(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))((a b)(^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 150440/16209246. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 150441/16209300. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 150442/16209327. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 150443/16209381. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 150444/16209471. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(^z2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150445/16209552. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150446/16209696. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((b c)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((b c)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((b c)(a (a (a a)))) REDUCED to normal form. ------ 150447/16209723. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 150448/16209768. ------ 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))) REDUCED to normal form. ------ 150449/16209849. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^z1.z1) a)((^z1.z1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1) a))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a ((^z1.z1) a))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a ((^y1.y1) a))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 150450/16209930. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)((a a) a))) 3. ==[ beta ]==> (b ((^z.z)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 150451/16210038. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a)(^y1.(y1 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. ------ 150452/16210074. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.a))(b (^z.z))) 6. ==[ alpha ]==> ((b (^x.a))(b (^y.y))) REDUCED to normal form. ------ 150453/16210101. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 150454/16210164. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(y y)) c)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(c c)) REDUCED to normal form. ------ 150455/16210272. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.z))) 7. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 150456/16210299. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 150457/16210326. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a b)(a a))(a (^y.a))) 6. ==[ alpha ]==> (((a b)(a a))(a (^x.a))) REDUCED to normal form. ------ 150458/16210353. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 150459/16210380. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 150460/16210434. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (a a)) b)) REDUCED to normal form. ------ 150461/16210461. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z) a) c)) 3. ==[ beta ]==> ((b ((^y.y) a))(((^z.z) a) c)) 4. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y) a) c)) 5. ==[ beta ]==> ((b a)(((^y.y) a) c)) 6. ==[ alpha ]==> ((b a)(((^x.x) a) c)) 7. ==[ beta ]==> ((b a)(a c)) REDUCED to normal form. ------ 150462/16210542. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 150463/16210632. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 150464/16210713. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 150465/16210821. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150466/16210938. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> (a ((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (a ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 150467/16210956. ------ 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)(b (^z.a))) 6. ==[ alpha ]==> ((^x.x)(b (^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 150468/16210983. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 150469/16211037. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((b b)((^y.(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> ((b b)((^x.(^y.y))(a (^z.z)))) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 150470/16211046. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(b c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b c)) REDUCED to normal form. ------ 150471/16211118. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 150472/16211127. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 150473/16211154. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 150474/16211181. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a (^z.z))(a a))) REDUCED to normal form. ------ 150475/16211226. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(a (^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150476/16211235. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(c a)) REDUCED to normal form. ------ 150477/16211262. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(b b)) 3. ==[ beta ]==> ((b (^y.(y y)))(b b)) 4. ==[ alpha ]==> ((b (^x.(x x)))(b b)) REDUCED to normal form. ------ 150478/16211289. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(a c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(a c)) REDUCED to normal form. ------ 150479/16211343. ------ 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. ------ 150480/16211361. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(b (^z.z))) REDUCED to normal form. ------ 150481/16211379. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((^a.a) b)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((^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. ------ 150482/16211406. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 150483/16211433. ------ 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. ------ 150484/16211460. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))((^y.y) a)) 3. ==[ beta ]==> (((a (a a)) b)((^y.y) a)) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x) a)) 5. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 150485/16211486. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(x (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^x.((^z.z)(x (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.y)(x (^z.(^x1.x1))))) 5. ==[ beta ]==> (^x.(x (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 150486/16211487. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (a ((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (a ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 150487/16212435. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> ((^x.((^y.y)(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150488/16213200. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 150489/16220400. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150490/16221348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a)))) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1)))) a) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1)))) a) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z)))) a) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 150491/16221354. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 150492/16221381. ------ 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))((^y.y) b))((a (a a))((^y.y) b))) 4. ==[ alpha ]==> (((a (a a))((^x.x) b))((a (a a))((^y.y) b))) 5. ==[ beta ]==> (((a (a a)) b)((a (a a))((^y.y) b))) 6. ==[ alpha ]==> (((a (a a)) b)((a (a a))((^x.x) b))) 7. ==[ beta ]==> (((a (a a)) b)((a (a a)) b)) REDUCED to normal form. ------ 150493/16221408. ------ 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 REDUCED to normal form. ------ 150494/16221483. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.(x1 (^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 (^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z (^x1.x1))))) 5. ==[ beta ]==> (^y.(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> (^x.(^y.(y (^z.z)))) REDUCED to normal form. ------ 150495/16221606. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 150496/16222299. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150497/16222302. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((a ((^x.x)(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 150498/16223067. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 150499/16223814. ------ 1. ==[ start ]==> (((a b)(a a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 150500/16224183. ------ 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 a)(a a)) REDUCED to normal form. ------ 150501/16224513. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((b ((^z.z) b))(b ((^z.z) b)))(^y.y)) 4. ==[ alpha ]==> (((b ((^x.x) b))(b ((^y.y) b)))(^z.z)) 5. ==[ beta ]==> (((b b)(b ((^y.y) b)))(^z.z)) 6. ==[ alpha ]==> (((b b)(b ((^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. ------ 150502/16224885. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^c.(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. ------ 150503/16225839. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 150504/16227531. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 150505/16228023. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((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)))(b ((^y.y)(a a))))) 4. ==[ alpha ]==> (((b ((^x.x)(a a)))(b ((^y.y)(a a))))((b ((^z.z)(a a)))(b ((^x1.x1)(a a))))) 5. ==[ beta ]==> (((b (a a))(b ((^y.y)(a a))))((b ((^z.z)(a a)))(b ((^x1.x1)(a a))))) 6. ==[ alpha ]==> (((b (a a))(b ((^x.x)(a a))))((b ((^y.y)(a a)))(b ((^z.z)(a a))))) 7. ==[ beta ]==> (((b (a a))(b (a a)))((b ((^y.y)(a a)))(b ((^z.z)(a a))))) 8. ==[ alpha ]==> (((b (a a))(b (a a)))((b ((^x.x)(a a)))(b ((^y.y)(a a))))) 9. ==[ beta ]==> (((b (a a))(b (a a)))((b (a a))(b ((^y.y)(a a))))) 10. ==[ alpha ]==> (((b (a a))(b (a a)))((b (a a))(b ((^x.x)(a a))))) 11. ==[ beta ]==> (((b (a a))(b (a a)))((b (a a))(b (a a)))) REDUCED to normal form. ------ 150506/16228719. ------ 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. ------ 150507/16228917. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(a b))) REDUCED to normal form. ------ 150508/16229655. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 150509/16229664. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.((a a) a))) REDUCED to normal form. ------ 150510/16229826. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 150511/16230264. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a ((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150512/16230267. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 150513/16230798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150514/16230879. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 150515/16230951. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150516/16230960. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.y1))) REDUCED to normal form. ------ 150517/16231014. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 150518/16231068. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 150519/16231083. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 150520/16231158. ------ 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. ------ 150521/16231185. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.(y y))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(y y))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(x x))) REDUCED to normal form. ------ 150522/16231212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(^y1.y1)) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 150523/16231224. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^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))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 150524/16231251. ------ 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. ------ 150525/16231278. ------ 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. ------ 150526/16231332. ------ 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. ------ 150527/16231350. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.(z (^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(a (^z.(z (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y (^z.z))))) 5. ==[ beta ]==> (a (^y.(y (^z.z)))) 6. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 150528/16231368. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.(^y1.y1)) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.(^y1.y1)) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.x1)) a)(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150529/16231395. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 150530/16231422. ------ 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))) REDUCED to normal form. ------ 150531/16231449. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 150532/16231458. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b)(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. ------ 150533/16231476. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 150534/16231557. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 150535/16231584. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(^c.(^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. ------ 150536/16231593. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 150537/16231638. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a ((^y.y)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 150538/16231647. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 150539/16231665. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(^b.b))) 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. ------ 150540/16231674. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((^y1.y1) b)((^y1.y1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)((^y1.y1) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b ((^y1.y1) b))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1) b))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 150541/16231701. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 150542/16231890. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 150543/16231971. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 150544/16231998. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(^c.(^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. ------ 150545/16232142. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (b (^x.x)))) REDUCED to normal form. ------ 150546/16232169. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 150547/16232466. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 150548/16232493. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a ((^y.y) b))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(a b)) REDUCED to normal form. ------ 150549/16232520. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a (^y.y))((a a)(a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 150550/16232547. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(b (^y.y)))) REDUCED to normal form. ------ 150551/16232637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 150552/16232691. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 150553/16232727. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^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. ------ 150554/16232754. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(a b))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 150555/16232772. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 150556/16232808. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 150557/16232835. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 150558/16232853. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 150559/16232862. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 150560/16232889. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150561/16232916. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 150562/16233105. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^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. ------ 150563/16233267. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 150564/16233294. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 150565/16233393. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y) c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y) c)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) c)) 5. ==[ beta ]==> (((a (a a))(a (a a))) c) REDUCED to normal form. ------ 150566/16233519. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(a b))) REDUCED to normal form. ------ 150567/16233546. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 150568/16233573. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 9. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 10. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 150569/16233600. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))(b a))) REDUCED to normal form. ------ 150570/16233627. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (a (((^y.y) a)(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> (a (((^x.x) a)(a (^y.(^z.z))))) 9. ==[ beta ]==> (a (a (a (^y.(^z.z))))) 10. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 150571/16233654. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 150572/16233672. ------ 1. ==[ start ]==> (((^a.b) b)(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.(a a)))) 3. ==[ beta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 150573/16233681. ------ 1. ==[ start ]==> (((a b)(a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 150574/16233717. ------ 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. ------ 150575/16233744. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.(^z1.z1)))) 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. ------ 150576/16233798. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((b a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 7. ==[ beta ]==> ((b a)(^y.(y y))) 8. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 150577/16233879. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> (b ((a b)(^x1.b))) 4. ==[ alpha ]==> (b ((a b)(^x.b))) REDUCED to normal form. ------ 150578/16233888. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(a b))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(a b))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 150579/16233942. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 150580/16233969. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((b a)(b a))) REDUCED to normal form. ------ 150581/16234014. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a))(^b.b))) 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. ------ 150582/16234023. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 150583/16234050. ------ 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. ------ 150584/16234077. ------ 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 a)) REDUCED to normal form. ------ 150585/16234095. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> (b (((^z.z) b) b)) 4. ==[ alpha ]==> (b (((^x.x) b) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 150586/16234104. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.b)(^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. ------ 150587/16234131. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 150588/16234320. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(^d.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. ------ 150589/16234383. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b ((^y.y) b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(b b)) REDUCED to normal form. ------ 150590/16234419. ------ 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) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 150591/16234698. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 150592/16234752. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^c.(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. ------ 150593/16234779. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.b)(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. ------ 150594/16234797. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 150595/16234806. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 150596/16235373. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 150597/16235418. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.b) 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. ------ 150598/16235445. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150599/16235499. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z)) d)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) d)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 150600/16235706. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 150601/16235967. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150602/16236066. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((b a) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((b a) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((b a) b)) 5. ==[ beta ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 150603/16236264. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 150604/16236597. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(b a))) REDUCED to normal form. ------ 150605/16236858. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 150606/16236903. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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. ------ 150607/16236930. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a)(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z1.z1)) 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. ------ 150608/16237227. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a)) c)) 5. ==[ beta ]==> (b ((^y.(a a)) c)) 6. ==[ alpha ]==> (b ((^x.(a a)) c)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 150609/16237371. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (^y.(a a)))) REDUCED to normal form. ------ 150610/16237398. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 150611/16237497. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150612/16237506. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 150613/16237533. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 150614/16237866. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (a b))) 3. ==[ beta ]==> ((b (a a))(c (a b))) REDUCED to normal form. ------ 150615/16237893. ------ 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. ------ 150616/16237929. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150617/16238172. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150618/16238208. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 150619/16238253. ------ 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. ------ 150620/16238280. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 150621/16238289. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^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. ------ 150622/16238316. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 150623/16238334. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 150624/16238397. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 150625/16238415. ------ 1. ==[ start ]==> (((^a.b)(a b))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(a b))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 150626/16238424. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b)) b) REDUCED to normal form. ------ 150627/16238478. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 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. ------ 150628/16238532. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 150629/16238559. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 150630/16238586. ------ 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. ------ 150631/16238622. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a b)(a a))) REDUCED to normal form. ------ 150632/16238649. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 150633/16238676. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1) a)) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) a)) 9. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 150634/16238703. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 150635/16238730. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 150636/16238757. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 150637/16238784. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(a b))) REDUCED to normal form. ------ 150638/16239252. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150639/16239288. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(d (^y.(y y)))) 3. ==[ beta ]==> ((b c)(d (^y.(y y)))) 4. ==[ alpha ]==> ((b c)(d (^x.(x x)))) REDUCED to normal form. ------ 150640/16239315. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 150641/16239387. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 150642/16239423. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 150643/16239441. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (a a))(^y1.a))) REDUCED to normal form. ------ 150644/16239450. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a ((^y1.y1) a))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a ((^x1.x1) a))) 7. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 150645/16239522. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 150646/16239531. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 150647/16239558. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 150648/16239639. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 150649/16239666. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 150650/16239756. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 150651/16239783. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a a)) REDUCED to normal form. ------ 150652/16239810. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(a (a a)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 150653/16239837. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 150654/16239945. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c d)) 3. ==[ beta ]==> (((a a)(a b))(c d)) REDUCED to normal form. ------ 150655/16240134. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 150656/16240305. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 150657/16240413. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150658/16240629. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b ((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b b)((a (^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 150659/16240638. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^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. ------ 150660/16240665. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1)((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150661/16240710. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 150662/16240719. ------ 1. ==[ start ]==> (((a b)(^c.(^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. ------ 150663/16240746. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 150664/16240773. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(c (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(c (^z.z))) REDUCED to normal form. ------ 150665/16240827. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.a))) REDUCED to normal form. ------ 150666/16240854. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 150667/16240881. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.a))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.a))(a (^y.y))) REDUCED to normal form. ------ 150668/16240935. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((^a.a)(^a.(^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. ------ 150669/16240953. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^x.(x (^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.z)) REDUCED to normal form. ------ 150670/16240971. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((a a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((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. ------ 150671/16240998. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(b a)) REDUCED to normal form. ------ 150672/16241025. ------ 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. ------ 150673/16241052. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(a (a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(a (a a))) 3. ==[ beta ]==> (((a (a a)) b)(a (a a))) REDUCED to normal form. ------ 150674/16241079. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(a a)) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(a a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a a)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 150675/16241226. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(x1 (^y1.y1))))) 3. ==[ beta ]==> ((^z.(^x1.(x1 (^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.x1)) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 150676/16246761. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(z a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 150677/16250001. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150678/16250820. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 150679/16250949. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a)))) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1)))) b) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1)))) b) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z)))) b) 5. ==[ beta ]==> ((a (^y.(^z.z))) b) 6. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 150680/16250973. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150681/16251054. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150682/16251099. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.(z (^x1.x1))))) 3. ==[ beta ]==> ((a (^z.(z (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.z)) REDUCED to normal form. ------ 150683/16251102. ------ 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. ------ 150684/16251507. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 150685/16251921. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150686/16252695. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 150687/16252854. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^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. ------ 150688/16253082. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 150689/16253241. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))((a a) a))(((^z.z)(a a))((a a) a)))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))((a a) a))(((^z.z)(a a))((a a) a)))) 5. ==[ beta ]==> (^x.(((a a)((a a) a))(((^z.z)(a a))((a a) a)))) 6. ==[ alpha ]==> (^x.(((a a)((a a) a))(((^y.y)(a a))((a a) a)))) 7. ==[ beta ]==> (^x.(((a a)((a a) a))((a a)((a a) a)))) REDUCED to normal form. ------ 150690/16254123. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^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. ------ 150691/16254162. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 5. ==[ beta ]==> (^y.((y y)(y y))) 6. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 150692/16254828. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.((^x1.x1) 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. ------ 150693/16254879. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ eta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 150694/16255161. ------ 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)(^x.b)) REDUCED to normal form. ------ 150695/16255428. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(b a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 150696/16255476. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 150697/16255716. ------ 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 ]==> (((^x1.a)((a a)(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)((a a)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 150698/16256319. ------ 1. ==[ start ]==> ((^a.(^b.b))((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. ------ 150699/16256367. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 150700/16256634. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(b a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 150701/16256637. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(b a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(y a))) 3. ==[ beta ]==> ((a b)(^y.(y a))) 4. ==[ alpha ]==> ((a b)(^x.(x a))) REDUCED to normal form. ------ 150702/16256916. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(b z1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 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. ------ 150703/16257420. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 150704/16257633. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((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)))((^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)))((^x3.(^y3.y3))(^z3.(a a))))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.(a a))))(((^x2.(^y2.y2))(^z2.(a a)))((^x3.(^y3.y3))(^z3.(a a))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(a a))))(((^y1.(^z1.z1))(^x2.(a a)))((^y2.(^z2.z2))(^x3.(a a))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))(((^y1.(^z1.z1))(^x2.(a a)))((^y2.(^z2.z2))(^x3.(a a))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.(^y1.y1))(^z1.(a a)))((^x2.(^y2.y2))(^z2.(a a))))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.(a a)))((^x2.(^y2.y2))(^z2.(a a))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a))))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150705/16257672. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 150706/16258554. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 150707/16258713. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150708/16259103. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((b (^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 150709/16259274. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 150710/16259607. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.y))) 5. ==[ beta ]==> ((b a)(^y.(^z.y))) 6. ==[ alpha ]==> ((b a)(^x.(^y.x))) REDUCED to normal form. ------ 150711/16259874. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150712/16259877. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 150713/16260318. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 150714/16260489. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^c.c)) 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. ------ 150715/16260570. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.c)) REDUCED to normal form. ------ 150716/16260624. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 150717/16260693. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(a (a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 150718/16260696. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 150719/16260741. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 150720/16260768. ------ 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. ------ 150721/16260795. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.(^z.z))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 150722/16260822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 150723/16260852. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.x))((^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. ------ 150724/16260879. ------ 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. ------ 150725/16260906. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((a a)(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((a a)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)(a ((a a)(a a)))) REDUCED to normal form. ------ 150726/16260933. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(b (^x1.x1)))) REDUCED to normal form. ------ 150727/16260978. ------ 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. ------ 150728/16260996. ------ 1. ==[ start ]==> (((a a) b)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((a a) b)(((^x.(^y.y)) a)(^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. ------ 150729/16261023. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 150730/16261050. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a))(^z.a))) REDUCED to normal form. ------ 150731/16261077. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(z z)))) REDUCED to normal form. ------ 150732/16261113. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 150733/16261131. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 150734/16261212. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 150735/16261266. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 150736/16261293. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 150737/16261356. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b (^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 150738/16261383. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1)) 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. ------ 150739/16261428. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((b (^y.y)) b)) 3. ==[ beta ]==> ((a a)((b (^y.y)) b)) 4. ==[ alpha ]==> ((a a)((b (^x.x)) b)) REDUCED to normal form. ------ 150740/16261680. ------ 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.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 150741/16261707. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(^b.b))) 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))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^z.z))) 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. ------ 150742/16261734. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 150743/16261797. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150744/16261824. ------ 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)) REDUCED to normal form. ------ 150745/16261878. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b)((^z1.z1) 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. ------ 150746/16261932. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((b a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 150747/16261959. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 150748/16262013. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a b)(a a))) REDUCED to normal form. ------ 150749/16262346. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (b (((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 150750/16262373. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.b))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.b))) REDUCED to normal form. ------ 150751/16262427. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 150752/16262481. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 150753/16262508. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^b.b))) 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. ------ 150754/16262571. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(b (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))(b (^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 150755/16262652. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.b)(^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. ------ 150756/16262679. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 150757/16262733. ------ 1. ==[ start ]==> ((a (a b))((^c.(^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. ------ 150758/16262904. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c ((^z.z) b))) 3. ==[ beta ]==> (b (c ((^z.z) b))) 4. ==[ alpha ]==> (b (c ((^x.x) b))) 5. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 150759/16262931. ------ 1. ==[ start ]==> (((^a.a)(a b))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a b)(b ((a a)(a a)))) REDUCED to normal form. ------ 150760/16262958. ------ 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. ------ 150761/16262994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(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. ------ 150762/16263012. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b (a (^y.y)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(b (a (^x.x)))) REDUCED to normal form. ------ 150763/16263021. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y) c)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) c) REDUCED to normal form. ------ 150764/16263093. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 150765/16263120. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)((a a) a))) REDUCED to normal form. ------ 150766/16263300. ------ 1. ==[ start ]==> (((a b)(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 150767/16263507. ------ 1. ==[ start ]==> (((a b) b)((a b)(^a.b))) 2. ==[ alpha ]==> (((a b) b)((a b)(^x.b))) REDUCED to normal form. ------ 150768/16263534. ------ 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. ------ 150769/16263561. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(^c.(^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. ------ 150770/16263642. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 150771/16263696. ------ 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. ------ 150772/16263723. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 150773/16263813. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^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. ------ 150774/16263840. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 150775/16263867. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 150776/16263921. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(^c.(^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. ------ 150777/16263975. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 150778/16264002. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 150779/16264038. ------ 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. ------ 150780/16264173. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 150781/16264254. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 150782/16264281. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 150783/16264335. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 150784/16264398. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) b)(^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. ------ 150785/16264425. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 150786/16264452. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((b a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 150787/16264479. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 150788/16264515. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 150789/16264542. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 150790/16264569. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(a b))) 3. ==[ beta ]==> ((a (a b))((^y.a)(a b))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(a b))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 150791/16264596. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))((^z.z)(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. ------ 150792/16264623. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 9. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 10. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 11. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 12. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 150793/16264650. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)(b a))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 150794/16264677. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 150795/16264704. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.z) b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) b)) 7. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 150796/16264731. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 150797/16264758. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 150798/16265037. ------ 1. ==[ start ]==> (((^a.a)(b a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(b a))(a ((^y.y) b))) 3. ==[ beta ]==> ((b a)(a ((^y.y) b))) 4. ==[ alpha ]==> ((b a)(a ((^x.x) b))) 5. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 150799/16265064. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 150800/16265118. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 150801/16265127. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 150802/16265199. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 150803/16265307. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(b a))) REDUCED to normal form. ------ 150804/16265325. ------ 1. ==[ start ]==> (((a a)(b a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 150805/16265352. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 150806/16265379. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 150807/16265460. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 150808/16265487. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 150809/16265541. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 150810/16265595. ------ 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) REDUCED to normal form. ------ 150811/16265928. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 150812/16265982. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((b a)(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((b a)(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((b a)(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((b a)(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a)(a a))) 7. ==[ beta ]==> (((a a)(a a))((b a)(a a))) REDUCED to normal form. ------ 150813/16266018. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 150814/16266063. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 150815/16266171. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150816/16266198. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 150817/16266243. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 150818/16266324. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a b)((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 150819/16266351. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 150820/16266378. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 150821/16266405. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 150822/16266432. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(z z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(a b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)(a b))) REDUCED to normal form. ------ 150823/16266477. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150824/16266486. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 150825/16266513. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(b a))) 3. ==[ beta ]==> ((a b)((^y.y)(b a))) 4. ==[ alpha ]==> ((a b)((^x.x)(b a))) 5. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 150826/16266792. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(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. ------ 150827/16266828. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.(^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. ------ 150828/16266846. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> (b ((a a)(a (^y.y)))) 8. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 150829/16266855. ------ 1. ==[ start ]==> (((a a)(^b.b))((^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. ------ 150830/16266873. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a b)((^y1.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. ------ 150831/16266927. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 150832/16267008. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((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. ------ 150833/16267071. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 150834/16267125. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a b)(^y1.a))) REDUCED to normal form. ------ 150835/16267152. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((b (^y.y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 150836/16267188. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 150837/16267215. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a) a)((a a) a))) REDUCED to normal form. ------ 150838/16267242. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(a b))) 3. ==[ beta ]==> ((a (b a))((^y.a)(a b))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(a b))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 150839/16267269. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 150840/16267296. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(^y.y))) 10. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 150841/16267323. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 150842/16267350. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 150843/16267377. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 150844/16267485. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.b))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 150845/16267512. ------ 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. ------ 150846/16267548. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 150847/16267683. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 150848/16267827. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 150849/16267854. ------ 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. ------ 150850/16267908. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 150851/16268016. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 150852/16268043. ------ 1. ==[ start ]==> (((a b)(^a.b))((a b) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((a b) b)) REDUCED to normal form. ------ 150853/16268403. ------ 1. ==[ start ]==> (((a b)(a b))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(a b))(b (^x.b))) REDUCED to normal form. ------ 150854/16268430. ------ 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. ------ 150855/16268457. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.b)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 150856/16268511. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 150857/16268538. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((b (a (^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 150858/16268565. ------ 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. ------ 150859/16268592. ------ 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. ------ 150860/16268763. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(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. ------ 150861/16268871. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150862/16268907. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a)) d)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y)) d)) 3. ==[ beta ]==> ((b c)((^y.(y y)) d)) 4. ==[ alpha ]==> ((b c)((^x.(x x)) d)) 5. ==[ beta ]==> ((b c)(d d)) REDUCED to normal form. ------ 150863/16268979. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)((a a) a))) 3. ==[ beta ]==> ((b (^y.y))((a a)((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 150864/16269042. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^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. ------ 150865/16269069. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (a a))(^x1.a))) REDUCED to normal form. ------ 150866/16269150. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 150867/16269177. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((a a) a) a)) 3. ==[ beta ]==> (((a a)(^y.b))(((a a) a) a)) 4. ==[ alpha ]==> (((a a)(^x.b))(((a a) a) a)) REDUCED to normal form. ------ 150868/16269429. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c (^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) b))(c (^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.(y y)))) 5. ==[ beta ]==> ((a b)(c (^y.(y y)))) 6. ==[ alpha ]==> ((a b)(c (^x.(x x)))) REDUCED to normal form. ------ 150869/16269456. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 150870/16269483. ------ 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. ------ 150871/16269510. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 150872/16269537. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 150873/16269564. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a b))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 150874/16269591. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 150875/16269645. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 150876/16269672. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 150877/16269699. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 150878/16269753. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 150879/16269843. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))((^x1.x1) 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 (^x.x)) a) REDUCED to normal form. ------ 150880/16269924. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(d b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(d b)) 3. ==[ beta ]==> (b (d b)) REDUCED to normal form. ------ 150881/16270149. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^b.a) b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.a) b)) 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)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 150882/16270167. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 150883/16270194. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 150884/16270248. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(c b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(c b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(c b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(c b)) 5. ==[ beta ]==> ((b ((^y.y) b))(c b)) 6. ==[ alpha ]==> ((b ((^x.x) b))(c b)) 7. ==[ beta ]==> ((b b)(c b)) REDUCED to normal form. ------ 150885/16270257. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 150886/16270284. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150887/16270329. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 150888/16270338. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 150889/16270365. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a a) c)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a a) c)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a) c)) REDUCED to normal form. ------ 150890/16270392. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b)) a) REDUCED to normal form. ------ 150891/16270437. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((a a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150892/16270446. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) c) REDUCED to normal form. ------ 150893/16270473. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b (^y.(y y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 150894/16270500. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 150895/16270554. ------ 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. ------ 150896/16270572. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(a (a (^z.z)))) REDUCED to normal form. ------ 150897/16270590. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(b (^a.a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(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. ------ 150898/16270617. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 150899/16270644. ------ 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. ------ 150900/16270671. ------ 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)) 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. ------ 150901/16270698. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(a (^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(a (^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 150902/16276389. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^d.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 150903/16280448. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 150904/16280748. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^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. ------ 150905/16280853. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b)(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. ------ 150906/16280925. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))(^x1.b))) 3. ==[ eta ]==> ((^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. ------ 150907/16281096. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 150908/16281195. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((b (^y.y)) b)) 3. ==[ beta ]==> (((b (^y.y)) b)(((b (^y.y)) b)((b (^y.y)) b))) 4. ==[ alpha ]==> (((b (^x.x)) b)(((b (^y.y)) b)((b (^z.z)) b))) REDUCED to normal form. ------ 150909/16281420. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^d.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. ------ 150910/16281978. ------ 1. ==[ start ]==> ((^a.((a a) a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((((b (^y.y))(^z.z))((b (^y.y))(^z.z)))((b (^y.y))(^z.z))) 4. ==[ alpha ]==> ((((b (^x.x))(^y.y))((b (^z.z))(^x1.x1)))((b (^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 150911/16282311. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 150912/16283799. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 150913/16284132. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1) b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150914/16284516. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.(^z.z))) b)) 3. ==[ eta ]==> (b ((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 150915/16284798. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.z))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 150916/16285956. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150917/16286274. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^d.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 150918/16286283. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^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. ------ 150919/16286562. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(b z))) 3. ==[ eta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 150920/16286805. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 150921/16287309. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^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. ------ 150922/16287552. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150923/16288350. ------ 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 (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 150924/16288767. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 150925/16290153. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 150926/16290207. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) REDUCED to normal form. ------ 150927/16290330. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 150928/16290333. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 150929/16290378. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 150930/16290432. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^c.a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.a)) 3. ==[ beta ]==> (((a (a a)) b)(^y.a)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 150931/16290459. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(^y1.a)) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(^y1.a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.a)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 150932/16290507. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a ((^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. ------ 150933/16290534. ------ 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. ------ 150934/16290561. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 150935/16290588. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(b (^z.z)))) 3. ==[ beta ]==> (b ((a (^y.y))(b (^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(b (^y.y)))) REDUCED to normal form. ------ 150936/16290615. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.y)((a 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. ------ 150937/16290633. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(x1 (^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(x1 (^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z (^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150938/16290741. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b)(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. ------ 150939/16290759. ------ 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)))) REDUCED to normal form. ------ 150940/16290786. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.a))) REDUCED to normal form. ------ 150941/16290813. ------ 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 a)(((a a)(^y.y))(^z.b))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 150942/16290822. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^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. ------ 150943/16290849. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 150944/16290930. ------ 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))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150945/16290984. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 150946/16291056. ------ 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) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 150947/16291083. ------ 1. ==[ start ]==> ((a (a (a a)))((b (^a.a)) b)) 2. ==[ alpha ]==> ((a (a (a a)))((b (^x.x)) b)) REDUCED to normal form. ------ 150948/16291119. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 150949/16291173. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150950/16291281. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(^c.(^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. ------ 150951/16291308. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^d.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 150952/16291398. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c ((a a)(a a)))) 3. ==[ beta ]==> ((b b)(c ((a a)(a a)))) REDUCED to normal form. ------ 150953/16291533. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b)(b ((^y.y) a))) 4. ==[ alpha ]==> (((a (a a)) b)(b ((^x.x) a))) 5. ==[ beta ]==> (((a (a a)) b)(b a)) REDUCED to normal form. ------ 150954/16291560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (a a)))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 150955/16291587. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 150956/16291614. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 150957/16291641. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(a b))) 5. ==[ beta ]==> ((a (^x.a))((a a)(a b))) REDUCED to normal form. ------ 150958/16291668. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 150959/16291695. ------ 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. ------ 150960/16291866. ------ 1. ==[ start ]==> ((a ((a a) a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((b (^x.x))(^y.y))) REDUCED to normal form. ------ 150961/16291902. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 150962/16291956. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1)))(a (a a)))) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1)))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (a a)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 150963/16292037. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(a b))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 150964/16292064. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 150965/16292118. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 150966/16292199. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 150967/16292244. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b (^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b (^z.z)) a)) REDUCED to normal form. ------ 150968/16292271. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(a a)) b)) REDUCED to normal form. ------ 150969/16292298. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) b) c)) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) b) c)) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b) c)) 5. ==[ beta ]==> (((a (a a)) a)(b c)) REDUCED to normal form. ------ 150970/16292388. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^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. ------ 150971/16292550. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(^b.b))) 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. ------ 150972/16292559. ------ 1. ==[ start ]==> (((a b) a)(c ((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)(c ((^x.x) b))) 3. ==[ beta ]==> (((a b) a)(c b)) REDUCED to normal form. ------ 150973/16292577. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(^c.(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. ------ 150974/16292586. ------ 1. ==[ start ]==> (((a a)(^a.b))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b ((a a)(a a)))) REDUCED to normal form. ------ 150975/16292640. ------ 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. ------ 150976/16292667. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (a (^y.y)))) REDUCED to normal form. ------ 150977/16292694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 150978/16292721. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)(a (a a)))) REDUCED to normal form. ------ 150979/16292748. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 150980/16292937. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 150981/16293009. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(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 a) REDUCED to normal form. ------ 150982/16293063. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 150983/16293144. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (b ((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((a a) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 150984/16293225. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150985/16293279. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 11. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 12. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 150986/16293360. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 150987/16293684. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 150988/16293828. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) c)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) c)((a a)(^y.y))) 6. ==[ alpha ]==> (((a b) c)((a a)(^x.x))) REDUCED to normal form. ------ 150989/16293855. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)((a a) a))) 3. ==[ beta ]==> (((a a) b)((a b)((a a) a))) REDUCED to normal form. ------ 150990/16293882. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(a b))) REDUCED to normal form. ------ 150991/16293936. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 150992/16293963. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a (^x.b))(a (b a))) REDUCED to normal form. ------ 150993/16294017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 150994/16294062. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.b)(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. ------ 150995/16294161. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 150996/16294188. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.a))) REDUCED to normal form. ------ 150997/16294215. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((a (a b))(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.b))) REDUCED to normal form. ------ 150998/16294242. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))((a a) a))(^y.(a a))) 6. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(a a))) REDUCED to normal form. ------ 150999/16294323. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 151000/16294350. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)(^b.b))) 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. ------ 151001/16294377. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(b a)) REDUCED to normal form. ------ 151002/16294404. ------ 1. ==[ start ]==> ((a (b a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (b a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 151003/16294494. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 151004/16294575. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151005/16294638. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (b a))) REDUCED to normal form. ------ 151006/16294683. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 151007/16294746. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(a a)))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 151008/16294773. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 151009/16294827. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 151010/16294854. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 151011/16294881. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a b))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a b))) 7. ==[ beta ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 151012/16294908. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(a a))) REDUCED to normal form. ------ 151013/16295025. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.x1))) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 151014/16295052. ------ 1. ==[ start ]==> (((a (a a))(a b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 151015/16295079. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 151016/16295106. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 151017/16295133. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 151018/16295187. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.b)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 151019/16295250. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151020/16295331. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((a a)((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 151021/16295412. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 151022/16295520. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151023/16295547. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 151024/16295637. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((b a)(a a))) REDUCED to normal form. ------ 151025/16295664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 151026/16295718. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 151027/16295745. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 151028/16295772. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 151029/16295826. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (a a))) REDUCED to normal form. ------ 151030/16295844. ------ 1. ==[ start ]==> ((a (^b.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 151031/16295916. ------ 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. ------ 151032/16295943. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a 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. ------ 151033/16295970. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> ((a b)((a a)(^y.a))) 8. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 151034/16295997. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 151035/16296024. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 151036/16296078. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (a a))(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))(^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(^y.b))) REDUCED to normal form. ------ 151037/16296168. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^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. ------ 151038/16296330. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151039/16296447. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (b a))) REDUCED to normal form. ------ 151040/16296474. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((b a)(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 151041/16296501. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^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. ------ 151042/16296528. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b) a)) REDUCED to normal form. ------ 151043/16296609. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a (a a))((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))((a (a a))((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151044/16296636. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (a b))) REDUCED to normal form. ------ 151045/16296654. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (^y.(a a)))) 3. ==[ beta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 151046/16296663. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 151047/16296690. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 151048/16296762. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151049/16296834. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 151050/16296888. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a (b a))(a (^y.b))) 6. ==[ alpha ]==> ((a (b a))(a (^x.b))) REDUCED to normal form. ------ 151051/16296915. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 151052/16296969. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 151053/16296996. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a b)((a a) a))((a a) b)) REDUCED to normal form. ------ 151054/16297023. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a b) c)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a b) c)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b) c)) 5. ==[ beta ]==> (((a a)(^y.y))((a b) c)) 6. ==[ alpha ]==> (((a a)(^x.x))((a b) c)) REDUCED to normal form. ------ 151055/16297194. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151056/16297437. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151057/16297545. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(a (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. ------ 151058/16297599. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)((a a) a))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 151059/16297680. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 151060/16297788. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151061/16297824. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c ((a a) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c ((a a) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c ((a a) a))) REDUCED to normal form. ------ 151062/16297851. ------ 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. ------ 151063/16297887. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(a a)) a)) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a a)) REDUCED to normal form. ------ 151064/16297914. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.b) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.b) b)) 5. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 151065/16298103. ------ 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 b)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(^z.z))) REDUCED to normal form. ------ 151066/16298157. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.a))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.a)) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.a)) REDUCED to normal form. ------ 151067/16298184. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 151068/16298211. ------ 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. ------ 151069/16298238. ------ 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. ------ 151070/16298409. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 151071/16298553. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((b c)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((b c)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((b c)((a (a a)) a)) REDUCED to normal form. ------ 151072/16298580. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (a (a a)))) REDUCED to normal form. ------ 151073/16298625. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.a))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.a))) REDUCED to normal form. ------ 151074/16298652. ------ 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 (^z.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 151075/16298706. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 151076/16298787. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151077/16298895. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(x1 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. ------ 151078/16298931. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c (a (a a)))) 3. ==[ beta ]==> ((b (^y.a))(c (a (a a)))) 4. ==[ alpha ]==> ((b (^x.a))(c (a (a a)))) REDUCED to normal form. ------ 151079/16298958. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 151080/16299021. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 151081/16299156. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 151082/16299183. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 151083/16299210. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(a b))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a a)(a b))(a (^y.a))) 6. ==[ alpha ]==> (((a a)(a b))(a (^x.a))) REDUCED to normal form. ------ 151084/16299237. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 151085/16299291. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 151086/16299318. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (a a)) b)) 3. ==[ beta ]==> ((b ((^y.y) a))((a (a a)) b)) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (a a)) b)) 5. ==[ beta ]==> ((b a)((a (a a)) b)) REDUCED to normal form. ------ 151087/16299489. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(c (^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(c (^z.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(c (^z.a))) 5. ==[ beta ]==> ((^y.y)(c (^z.a))) 6. ==[ alpha ]==> ((^x.x)(c (^y.a))) 7. ==[ beta ]==> (c (^y.a)) 8. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 151088/16299570. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 151089/16299678. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(z1 z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151090/16299795. ------ 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)(((^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. ------ 151091/16299840. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 151092/16299894. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.a)(a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.a)(a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.a)(a a))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.a)(a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.a)(a a))) 7. ==[ beta ]==> ((b b)((^y.a)(a a))) 8. ==[ alpha ]==> ((b b)((^x.a)(a a))) 9. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 151093/16299903. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(c b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(c b)) REDUCED to normal form. ------ 151094/16299930. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(b c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(b c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b c)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b c)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b c)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151095/16299975. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 151096/16299984. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 151097/16300011. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(b (a (^y.y)))) REDUCED to normal form. ------ 151098/16300038. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 151099/16300083. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(b (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151100/16300092. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(a (^y1.y1)))) REDUCED to normal form. ------ 151101/16300119. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(c a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(c a)) 3. ==[ beta ]==> ((b (^y.(y y)))(c a)) 4. ==[ alpha ]==> ((b (^x.(x x)))(c a)) REDUCED to normal form. ------ 151102/16300146. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(b b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(b b)) REDUCED to normal form. ------ 151103/16300200. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(b (a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a a))) 5. ==[ beta ]==> ((^y.y)(b (a a))) 6. ==[ alpha ]==> ((^x.x)(b (a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 151104/16300218. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(x (^y.y))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 151105/16300236. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^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. ------ 151106/16300263. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x))(b (^y.y))) b) REDUCED to normal form. ------ 151107/16300290. ------ 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. ------ 151108/16300317. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))((a a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))((a a) a)) 3. ==[ beta ]==> (((a (a a)) b)((a a) a)) REDUCED to normal form. ------ 151109/16300344. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^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 (^x.(^y.y))) a) REDUCED to normal form. ------ 151110/16300370. ------ 1. ==[ start ]==> (^a.(((a a) a)(b a))) 2. ==[ alpha ]==> (^x.(((x x) x)(b x))) REDUCED to normal form. ------ 151111/16300371. ------ 1. ==[ start ]==> (a (((a a) a)(b a))) REDUCED to normal form. ------ 151112/16310259. ------ 1. ==[ start ]==> ((((a a) a)(b a)) a) REDUCED to normal form. ------ 151113/16310265. ------ 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. ------ 151114/16310292. ------ 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))(a (^x1.(^y1.y1))))(((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a (^z1.(^x2.x2))))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.(^x2.x2))))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.(^z1.z1))))) 9. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 151115/16310319. ------ 1. ==[ start ]==> ((^a.b)((a (a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)((a (a a))((^y.y) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 151116/16310400. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a a)((^z.(^x1.x1)) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 151117/16310421. ------ 1. ==[ start ]==> (((a a) b)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 151118/16310517. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((^z.z) b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.(((^y.y) b)(^z.(z z)))) 5. ==[ beta ]==> (^x.(b (^z.(z z)))) 6. ==[ alpha ]==> (^x.(b (^y.(y y)))) REDUCED to normal form. ------ 151119/16311210. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151120/16311975. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 151121/16312749. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)((a a)(a a)))((a a)((a a)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((a a)((a a)(a a)))((a a)((a a)(a a))))) 5. ==[ beta ]==> (((a a)((a a)(a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 151122/16313121. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 151123/16315668. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(b a))) REDUCED to normal form. ------ 151124/16315947. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 151125/16317441. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 151126/16317666. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^x.(x x))) REDUCED to normal form. ------ 151127/16318602. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 151128/16318908. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)(^x.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 151129/16319175. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b (a (a a)))) 3. ==[ eta ]==> ((^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. ------ 151130/16319817. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(^x1.a))) REDUCED to normal form. ------ 151131/16319898. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 151132/16319994. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((a a) b)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((a a) b)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 151133/16320015. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 151134/16320042. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 151135/16320096. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^a.b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.b)) 3. ==[ beta ]==> (((a (a a)) b)(^y.b)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.b)) REDUCED to normal form. ------ 151136/16320123. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^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))) REDUCED to normal form. ------ 151137/16320150. ------ 1. ==[ start ]==> ((((a a) a)(b a))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(b a))(^x.x)) REDUCED to normal form. ------ 151138/16320162. ------ 1. ==[ start ]==> ((a a)(((a a) a)(b a))) REDUCED to normal form. ------ 151139/16320189. ------ 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))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 151140/16320216. ------ 1. ==[ start ]==> ((a b)((a (a a))((^a.a) b))) 2. ==[ alpha ]==> ((a b)((a (a a))((^x.x) b))) 3. ==[ beta ]==> ((a b)((a (a a)) b)) REDUCED to normal form. ------ 151141/16320261. ------ 1. ==[ start ]==> (((^a.a) b)(c (^d.(^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. ------ 151142/16320270. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(b (^y.y)))) REDUCED to normal form. ------ 151143/16320297. ------ 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. ------ 151144/16320315. ------ 1. ==[ start ]==> (((a a) b)(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a a) b)(a (^x.(x (^y.y))))) REDUCED to normal form. ------ 151145/16320333. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.(^y1.y1)) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1)) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)(^x1.x1))) 5. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 6. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151146/16320360. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 151147/16320387. ------ 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 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. ------ 151148/16320414. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 151149/16320450. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151150/16320495. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 151151/16320522. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(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. ------ 151152/16320531. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 151153/16320558. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.b)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.b)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 151154/16320585. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 151155/16320603. ------ 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.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 151156/16320612. ------ 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))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 151157/16320639. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z) b)((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)((^z.z) b))) 7. ==[ beta ]==> ((a (^x.x))(b ((^z.z) b))) 8. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) b))) 9. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 151158/16320765. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b (^z.z)) b)) 3. ==[ beta ]==> ((^y.(y y))((b (^z.z)) b)) 4. ==[ alpha ]==> ((^x.(x x))((b (^y.y)) b)) 5. ==[ beta ]==> (((b (^y.y)) b)((b (^y.y)) b)) 6. ==[ alpha ]==> (((b (^x.x)) b)((b (^y.y)) b)) REDUCED to normal form. ------ 151159/16320792. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) c)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) c)) 5. ==[ beta ]==> (((a a)(a a)) c) REDUCED to normal form. ------ 151160/16320828. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 151161/16320855. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 151162/16320909. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^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. ------ 151163/16320936. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 151164/16320963. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 151165/16321071. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 151166/16321107. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b (b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (b (^y.y)))) REDUCED to normal form. ------ 151167/16321404. ------ 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))(b a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(b a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(b a))) 7. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 151168/16321431. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 151169/16321458. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) b))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) b))) 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. ------ 151170/16321485. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 151171/16321512. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)(b (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(b (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(b (^y.y)))) 6. ==[ alpha ]==> ((a a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 151172/16321575. ------ 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 a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 151173/16321629. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 151174/16321710. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.b))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.b))) REDUCED to normal form. ------ 151175/16321737. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 151176/16321746. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 151177/16321800. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 151178/16321827. ------ 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))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151179/16321854. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 151180/16321872. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 151181/16322205. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) b)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 151182/16322232. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 151183/16322259. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 151184/16322457. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a b))((a a)((a a) a))) REDUCED to normal form. ------ 151185/16322484. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)(a b))) REDUCED to normal form. ------ 151186/16322511. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 151187/16322538. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((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. ------ 151188/16322565. ------ 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))(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(b a))) 5. ==[ beta ]==> (((^y.y) a)((a (a a))(b a))) 6. ==[ alpha ]==> (((^x.x) a)((a (a a))(b a))) 7. ==[ beta ]==> (a ((a (a a))(b a))) REDUCED to normal form. ------ 151189/16322592. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 151190/16322610. ------ 1. ==[ start ]==> (((^a.b) b)(c (^b.b))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 151191/16322619. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a b)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 151192/16322646. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 151193/16322682. ------ 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. ------ 151194/16322736. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.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)) REDUCED to normal form. ------ 151195/16322817. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 151196/16322826. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))((a a) a))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 151197/16322853. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(a b))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a b))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 151198/16322871. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.(a a)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 151199/16322880. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 151200/16322898. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(^c.(^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. ------ 151201/16322907. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 151202/16322952. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 11. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 12. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 13. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 14. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 151203/16322961. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 151204/16322988. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) b))((^y.(^z.z))((^x1.x1) b))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((^z1.z1) b))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151205/16323015. ------ 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. ------ 151206/16323033. ------ 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. ------ 151207/16323042. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 151208/16323069. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.b)(^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. ------ 151209/16323258. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151210/16323690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^b.b))) 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. ------ 151211/16323735. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 151212/16323744. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 151213/16323771. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 151214/16324383. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.b) 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. ------ 151215/16324644. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(b a))) REDUCED to normal form. ------ 151216/16324671. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 151217/16324905. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151218/16325004. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a a)((a (^z.(^x1.x1))) a)) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 151219/16325202. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 151220/16325229. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 151221/16325301. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1))) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z))) a)) 9. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 151222/16325535. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 151223/16325562. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(b a))) REDUCED to normal form. ------ 151224/16325796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 151225/16325868. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((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. ------ 151226/16326165. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) b)) 5. ==[ beta ]==> (b ((^y.(^z.z)) b)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151227/16326192. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 151228/16326336. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 151229/16326363. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 151230/16326435. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151231/16326444. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 151232/16326471. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 151233/16327146. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(a a))(a a))) 3. ==[ beta ]==> ((b b)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(a a))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 151234/16327173. ------ 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. ------ 151235/16327191. ------ 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. ------ 151236/16327218. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(^y1.y1))(^z1.(z1 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. ------ 151237/16327227. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^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. ------ 151238/16327254. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(((^y1.y1)(^z1.z1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)((^z1.z1)(^x2.x2)))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 10. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 11. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 12. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 151239/16327272. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((b a)(b a))(a (^y.a))) 6. ==[ alpha ]==> (((b a)(b a))(a (^x.a))) REDUCED to normal form. ------ 151240/16327335. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 151241/16327353. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (b (((^y.y)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 151242/16327362. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 151243/16327416. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 151244/16327470. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 151245/16327497. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 151246/16327524. ------ 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. ------ 151247/16327560. ------ 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. ------ 151248/16327587. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a b)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a b)(a a))) REDUCED to normal form. ------ 151249/16327614. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 151250/16327641. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(b a))((^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. ------ 151251/16327668. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 151252/16327695. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(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. ------ 151253/16327722. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 151254/16327749. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)(a b))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(a b))) REDUCED to normal form. ------ 151255/16328001. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((a a) a) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((a a) a) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151256/16328361. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 151257/16328379. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.z1)(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.(^x2.x2))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 151258/16328388. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 151259/16328460. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 151260/16328469. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 151261/16328496. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.b))((a a) a)) REDUCED to normal form. ------ 151262/16328577. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 151263/16328604. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 151264/16328631. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 151265/16328694. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(b (^x.x)))(a a)) REDUCED to normal form. ------ 151266/16328721. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 151267/16328748. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a b)(a ((^y.y) a))) 8. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 151268/16328775. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 151269/16328802. ------ 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. ------ 151270/16329072. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b (a (a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(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. ------ 151271/16329162. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) c)) 5. ==[ beta ]==> ((^y.y)((^z.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. ------ 151272/16329243. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (b ((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 151273/16329351. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151274/16329486. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.a) b)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.a) b)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 151275/16329513. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151276/16329567. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((b ((^y.y) b))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((b ((^x.x) b))(((^y.y) a)(^z.z))) 7. ==[ beta ]==> ((b b)(((^y.y) a)(^z.z))) 8. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.y))) 9. ==[ beta ]==> ((b b)(a (^y.y))) 10. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 151277/16329576. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^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. ------ 151278/16329603. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(a (^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(a (^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151279/16329648. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (b (((^z.z) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 151280/16329657. ------ 1. ==[ start ]==> (((a b)(^c.(^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. ------ 151281/16329684. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 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. ------ 151282/16329711. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(^x1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 151283/16329756. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151284/16329765. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 151285/16329792. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(a (^z.a))) 3. ==[ beta ]==> ((b (^y.(y y)))(a (^z.a))) 4. ==[ alpha ]==> ((b (^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 151286/16329819. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 151287/16329873. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^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. ------ 151288/16329891. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((a a) b)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((a a) b)) REDUCED to normal form. ------ 151289/16329909. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(a (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 151290/16329936. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 151291/16329963. ------ 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. ------ 151292/16329990. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(a b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(a b)) 3. ==[ beta ]==> (((a (a a)) b)(a b)) REDUCED to normal form. ------ 151293/16330017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(a (a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(a (a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 151294/16330044. ------ 1. ==[ start ]==> ((((a a) a)(b a))(a a)) REDUCED to normal form. ------ 151295/16339941. ------ 1. ==[ start ]==> ((((a a) a)(b a)) b) REDUCED to normal form. ------ 151296/16339965. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151297/16340046. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151298/16340526. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 151299/16340940. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(z z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151300/16341714. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(b (^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)))) REDUCED to normal form. ------ 151301/16342233. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((((a a)(^z.z))((^x1.x1)(^y1.y1)))(((a a)(^z.z))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.((((a a)(^y.y))(^x1.x1))(((a a)(^y1.y1))((^z1.z1)(^x2.x2))))) 6. ==[ alpha ]==> (^x.((((a a)(^y.y))(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> (^x.((((a a)(^y.y))(^z.z))(((a a)(^x1.x1))(^z1.z1)))) 8. ==[ alpha ]==> (^x.((((a a)(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.y1)))) REDUCED to normal form. ------ 151302/16342440. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((b (^z.(a a)))(b (^z.(a a))))) 4. ==[ alpha ]==> ((^x.x)((b (^y.(a a)))(b (^z.(a a))))) 5. ==[ beta ]==> ((b (^y.(a a)))(b (^z.(a a)))) 6. ==[ alpha ]==> ((b (^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 151303/16342452. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.((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. ------ 151304/16342812. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 151305/16343115. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^z.a)(^x1.(^y1.(^z1.z1))))((^z.a)(^x1.(^y1.(^z1.z1)))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.(^y2.y2)))))(^z2.z2)) 5. ==[ beta ]==> ((a ((^y1.a)(^z1.(^x2.(^y2.y2)))))(^z2.z2)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(^z.(^x1.x1)))))(^y1.y1)) 7. ==[ beta ]==> ((a a)(^y1.y1)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 151306/16343847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 151307/16343871. ------ 1. ==[ start ]==> ((^a.(b a))((^b.b)(^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. ------ 151308/16344180. ------ 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 ]==> (^x.b) REDUCED to normal form. ------ 151309/16344420. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)((a a)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 151310/16344495. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^b.b))) 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. ------ 151311/16344708. ------ 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)(a a)))) 3. ==[ beta ]==> (((^x1.(x1 x1))((^y1.y1)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.x1))) 7. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.z))) 9. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 151312/16345098. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(y (^z.(^x1.x1))))) 7. ==[ beta ]==> (((a a)(a a))(^y.(y (^z.(^x1.x1))))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 151313/16345311. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^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. ------ 151314/16345386. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 151315/16345626. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 151316/16346439. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 151317/16346625. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((^y.a)(^z.b))((^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))((^x2.a)(^y2.b)))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.b)))(((^y1.a)(^z1.b))((^x2.a)(^y2.b)))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.b)))(((^z.a)(^x1.b))((^y1.a)(^z1.b)))) 7. ==[ beta ]==> ((a a)(((^z.a)(^x1.b))((^y1.a)(^z1.b)))) 8. ==[ alpha ]==> ((a a)(((^x.a)(^y.b))((^z.a)(^x1.b)))) 9. ==[ beta ]==> ((a a)(a ((^z.a)(^x1.b)))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(^y.b)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 151318/16346907. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151319/16347132. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 151320/16347357. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 151321/16347573. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 151322/16347705. ------ 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 (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151323/16348293. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 151324/16348761. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 151325/16348866. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ eta ]==> ((^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. ------ 151326/16349508. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^c.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 151327/16349589. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.c)) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.c)) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.c)) REDUCED to normal form. ------ 151328/16349685. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(b (a a))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 151329/16349706. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^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. ------ 151330/16349760. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 151331/16349787. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 151332/16349814. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 151333/16349841. ------ 1. ==[ start ]==> ((((a a) a)(b a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 151334/16349871. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(b a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(b a))) REDUCED to normal form. ------ 151335/16349898. ------ 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. ------ 151336/16349925. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (a a))((^y.y) b))) 3. ==[ beta ]==> ((a a)((a (a a))((^y.y) b))) 4. ==[ alpha ]==> ((a a)((a (a a))((^x.x) b))) 5. ==[ beta ]==> ((a a)((a (a a)) b)) REDUCED to normal form. ------ 151337/16349952. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 151338/16350006. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151339/16350042. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 151340/16350069. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 151341/16350096. ------ 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))) REDUCED to normal form. ------ 151342/16350132. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.b)(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. ------ 151343/16350150. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 151344/16350159. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 151345/16350231. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(a a)))) REDUCED to normal form. ------ 151346/16350258. ------ 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. ------ 151347/16350312. ------ 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.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 151348/16350339. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 151349/16350375. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((a a)(a a)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 151350/16350402. ------ 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))(b (^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. ------ 151351/16350429. ------ 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))((^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. ------ 151352/16350447. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.(^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)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 151353/16350726. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 151354/16350753. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(^b.b))) 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. ------ 151355/16350780. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 151356/16350816. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (b (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151357/16350843. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 151358/16350897. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 151359/16350906. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(a a)) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a)) c)) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 151360/16350951. ------ 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))) REDUCED to normal form. ------ 151361/16350978. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 151362/16351032. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a b))) REDUCED to normal form. ------ 151363/16351365. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> (b ((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 151364/16351446. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.(a a)))) REDUCED to normal form. ------ 151365/16351527. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151366/16351554. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 151367/16351590. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 151368/16351617. ------ 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)(b (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(b (^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. ------ 151369/16351698. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.b)(^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 (^x.x))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 151370/16351725. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 151371/16351950. ------ 1. ==[ start ]==> (((^a.a)(a b))(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))(c ((^y.y) b))) 3. ==[ beta ]==> ((a b)(c ((^y.y) b))) 4. ==[ alpha ]==> ((a b)(c ((^x.x) b))) 5. ==[ beta ]==> ((a b)(c b)) REDUCED to normal form. ------ 151372/16351977. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 151373/16352031. ------ 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. ------ 151374/16352067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z) c)) 5. ==[ beta ]==> ((^y.a)((^z.z) c)) 6. ==[ alpha ]==> ((^x.a)((^y.y) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 151375/16352112. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((b a)(a (a a)))) 3. ==[ beta ]==> (b ((b a)(a (a a)))) REDUCED to normal form. ------ 151376/16352139. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 151377/16352319. ------ 1. ==[ start ]==> (((a b)(a a))(c (^b.b))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.x))) REDUCED to normal form. ------ 151378/16352346. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 151379/16352355. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a a)((a a)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151380/16352526. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a b) b)((a a)(^y.a))) 4. ==[ alpha ]==> (((a b) b)((a a)(^x.a))) REDUCED to normal form. ------ 151381/16352553. ------ 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. ------ 151382/16352580. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 151383/16352607. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(^c.(^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. ------ 151384/16352661. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 151385/16352688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a))(^b.b))) 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. ------ 151386/16352715. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 151387/16352742. ------ 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. ------ 151388/16352769. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) b) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b) b)) 5. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 151389/16352805. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 151390/16352886. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 151391/16352913. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.b))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 151392/16352967. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 151393/16353021. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 151394/16353057. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 151395/16353192. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 151396/16353273. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a b))) REDUCED to normal form. ------ 151397/16353300. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 9. ==[ beta ]==> ((^y.y)(a a)) 10. ==[ alpha ]==> ((^x.x)(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151398/16353354. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(b a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (b a))) REDUCED to normal form. ------ 151399/16353444. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 151400/16353471. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 151401/16353498. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((b a)(^z.a))) REDUCED to normal form. ------ 151402/16353561. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 151403/16353588. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a (a b))((^y.b)((a a) a))) 4. ==[ alpha ]==> ((a (a b))((^x.b)((a a) a))) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 151404/16353642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151405/16353669. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 151406/16353696. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(b a))) 3. ==[ beta ]==> (((a b) a)((^y.a)(b a))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(b a))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 151407/16353723. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 151408/16353750. ------ 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)(^x.x))(a a))((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 151409/16353777. ------ 1. ==[ start ]==> ((a (b a))((^b.b)(^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. ------ 151410/16354056. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((b a)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((b a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 151411/16354083. ------ 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)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 151412/16354119. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 151413/16354137. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((b a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))((b a)(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))((b a)(a (^x.x)))) REDUCED to normal form. ------ 151414/16354218. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 151415/16354326. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 151416/16354344. ------ 1. ==[ start ]==> (((a a)(b a))(c (^d.a))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.a))) REDUCED to normal form. ------ 151417/16354371. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 151418/16354398. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (^z.z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.y))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 151419/16354425. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 151420/16354506. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 151421/16354533. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 151422/16354605. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151423/16354614. ------ 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)(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 151424/16354947. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(c ((a a)(^y.y)))) 5. ==[ beta ]==> (c ((a a)(^y.y))) 6. ==[ alpha ]==> (c ((a a)(^x.x))) REDUCED to normal form. ------ 151425/16355001. ------ 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 a))((^y.y)(a a)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (a (^y.(^z.z))))) 7. ==[ beta ]==> (((a a)(a a))(a (a (^y.(^z.z))))) 8. ==[ alpha ]==> (((a a)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 151426/16355010. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.(^x1.x1))) a)) 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. ------ 151427/16355082. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a a)((^y.y) a))) 6. ==[ alpha ]==> (b ((a a)((^x.x) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 151428/16355190. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151429/16355217. ------ 1. ==[ start ]==> ((a (^b.b))(((^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. ------ 151430/16355289. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 151431/16355343. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 151432/16355370. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 151433/16355397. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 151434/16355451. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 151435/16355496. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 151436/16355505. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 151437/16355532. ------ 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 b)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 151438/16355811. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b ((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151439/16355865. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (b (((a a)(^y.y))(a a))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 151440/16355874. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 151441/16355892. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(a a))(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. ------ 151442/16355901. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 151443/16355946. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 151444/16356027. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (b (((^y.y) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 151445/16356144. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 151446/16356171. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> ((b (^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> ((b (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 151447/16356207. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 151448/16356234. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 151449/16356261. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a (b a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 151450/16356288. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 151451/16356315. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 151452/16356342. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a b))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 151453/16356369. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 151454/16356396. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 151455/16356423. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 151456/16356477. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 151457/16356504. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((b (a a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((b (a a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 151458/16356531. ------ 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. ------ 151459/16356567. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(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. ------ 151460/16356702. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 151461/16356810. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151462/16356846. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 151463/16356873. ------ 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. ------ 151464/16356927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 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. ------ 151465/16356954. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 151466/16357035. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 151467/16357062. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.b))((a a) a)) REDUCED to normal form. ------ 151468/16357116. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a) c)) REDUCED to normal form. ------ 151469/16357260. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.(a a))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(a a))) REDUCED to normal form. ------ 151470/16357422. ------ 1. ==[ start ]==> (((a b)(a b))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(a b))(c (^x.a))) REDUCED to normal form. ------ 151471/16357449. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b (^y.b))) 3. ==[ beta ]==> (((a a)((a a) a))(b (^y.b))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (^x.b))) REDUCED to normal form. ------ 151472/16357476. ------ 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.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(a a)))) REDUCED to normal form. ------ 151473/16357557. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 151474/16357584. ------ 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. ------ 151475/16357611. ------ 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. ------ 151476/16357890. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151477/16357926. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b c)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b c)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 151478/16357998. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 151479/16358025. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 151480/16358061. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 151481/16358088. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 151482/16358169. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 151483/16358196. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 151484/16358502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 151485/16358556. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 151486/16358583. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a b))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 151487/16358610. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 151488/16358664. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))((^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. ------ 151489/16358691. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 151490/16358718. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 151491/16358772. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1))(^y1.(y1 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. ------ 151492/16358862. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(((^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. ------ 151493/16359168. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y)) a)) 5. ==[ beta ]==> (a ((^y.(y y)) a)) 6. ==[ alpha ]==> (a ((^x.(x x)) a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 151494/16359186. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(((^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. ------ 151495/16359213. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a (^x1.x1))(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. ------ 151496/16359276. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 151497/16359303. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151498/16359357. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 151499/16359384. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a (^z.z)) b)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 151500/16359411. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a a) c)) REDUCED to normal form. ------ 151501/16359456. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((a (^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151502/16359465. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 151503/16359492. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.z) c)) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.z) c)) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.y) c)) 5. ==[ beta ]==> ((b (^x.(x x))) c) REDUCED to normal form. ------ 151504/16359519. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 151505/16359573. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) 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) REDUCED to normal form. ------ 151506/16359591. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(b (a a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(b (a a))) REDUCED to normal form. ------ 151507/16359609. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((^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. ------ 151508/16359636. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 151509/16359663. ------ 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. ------ 151510/16359690. ------ 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)) 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. ------ 151511/16359717. ------ 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)(^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 (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 151512/16359744. ------ 1. ==[ start ]==> ((((a a) a)(b a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(b a))(a (^x.x))) REDUCED to normal form. ------ 151513/16369650. ------ 1. ==[ start ]==> ((((a a) a)(b a)) c) REDUCED to normal form. ------ 151514/16369830. ------ 1. ==[ start ]==> (((a a) b)(^c.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 151515/16369848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(y1 (^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 (^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z (^x1.x1))))) 5. ==[ beta ]==> (^y.(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> (^x.(^y.(y (^z.z)))) REDUCED to normal form. ------ 151516/16369926. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (^x.((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 151517/16369998. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)(^z.a))) 3. ==[ eta ]==> ((^y.y)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 151518/16370169. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 151519/16370268. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.(^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)((((^z.(^x1.x1)) a) a)(((^y1.(^z1.z1)) a) a))) 6. ==[ alpha ]==> (((^x.x) a)((((^y.(^z.z)) a) a)(((^x1.(^y1.y1)) a) a))) 7. ==[ beta ]==> (a ((((^y.(^z.z)) a) a)(((^x1.(^y1.y1)) a) a))) 8. ==[ alpha ]==> (a ((((^x.(^y.y)) a) a)(((^z.(^x1.x1)) a) a))) 9. ==[ beta ]==> (a (((^y.y) a)(((^z.(^x1.x1)) a) a))) 10. ==[ alpha ]==> (a (((^x.x) a)(((^y.(^z.z)) a) a))) 11. ==[ beta ]==> (a (a (((^y.(^z.z)) a) a))) 12. ==[ alpha ]==> (a (a (((^x.(^y.y)) a) a))) 13. ==[ beta ]==> (a (a ((^y.y) a))) 14. ==[ alpha ]==> (a (a ((^x.x) a))) 15. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 151520/16370493. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151521/16371384. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 151522/16371828. ------ 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)))) REDUCED to normal form. ------ 151523/16372548. ------ 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)))) REDUCED to normal form. ------ 151524/16373250. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 151525/16373589. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) b) a)) 3. ==[ eta ]==> (b (((^y.y) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 151526/16373898. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151527/16374426. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 151528/16374519. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 151529/16374816. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 151530/16374825. ------ 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. ------ 151531/16375344. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 151532/16375383. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(z1 a))) 3. ==[ beta ]==> ((^y.y)(^z1.(z1 a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 151533/16375662. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(b y))) 3. ==[ eta ]==> ((((^x.x) b) a) b) 4. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 151534/16376157. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 151535/16376868. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 151536/16377423. ------ 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 (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151537/16378758. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 151538/16378866. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151539/16378983. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (y y)))) 5. ==[ beta ]==> (a (^y.(y (y y)))) 6. ==[ alpha ]==> (a (^x.(x (x x)))) REDUCED to normal form. ------ 151540/16379082. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.(z z)))) 7. ==[ beta ]==> ((b b)(^y.(^z.(z z)))) 8. ==[ alpha ]==> ((b b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 151541/16379163. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (b (^z.((^x1.x1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 151542/16379172. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.d)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 151543/16379307. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 151544/16379403. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 151545/16379478. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(^y.y)) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 151546/16379505. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.(^z.z))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 151547/16379559. ------ 1. ==[ start ]==> ((((a a) a)(b a))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(b a))(^x.a)) REDUCED to normal form. ------ 151548/16379607. ------ 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. ------ 151549/16379634. ------ 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))))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 151550/16379661. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 151551/16379688. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((a a)(a a)))) 3. ==[ beta ]==> (b (((^y.y) a)((a a)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(a a)))) 5. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 151552/16379715. ------ 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)((a (^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 151553/16379742. ------ 1. ==[ start ]==> (((a a) b)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) b)((a a)((^x.(^y.y)) a))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 151554/16379760. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.(x1 (^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(x1 (^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y (^z.z))))) 5. ==[ beta ]==> (a (^y.(y (^z.z)))) 6. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 151555/16379841. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 151556/16379859. ------ 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 (^x.x)))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 151557/16379886. ------ 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)))) REDUCED to normal form. ------ 151558/16379913. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.a))) 3. ==[ beta ]==> ((a a)((b a)(^y.a))) 4. ==[ alpha ]==> ((a a)((b a)(^x.a))) REDUCED to normal form. ------ 151559/16380003. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> (a ((^y.b)((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((^x.b)((a a)(^y.y)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 151560/16380084. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(x x)))(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(x x)))(b ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.(x x)))(b b)) REDUCED to normal form. ------ 151561/16380183. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.(^y.y)) a) a)) 3. ==[ beta ]==> ((a (a (a a)))((^y.y) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x) a)) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 151562/16380273. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 151563/16380300. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 151564/16380381. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 151565/16380408. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 151566/16380633. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 151567/16380660. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (a (((^y.y) b)((^z.z) a))) 6. ==[ alpha ]==> (a (((^x.x) b)((^y.y) a))) 7. ==[ beta ]==> (a (b ((^y.y) a))) 8. ==[ alpha ]==> (a (b ((^x.x) a))) 9. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 151568/16380687. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 151569/16380714. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)(^z.z))) REDUCED to normal form. ------ 151570/16380741. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 151571/16380768. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 151572/16380795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)((^y.y)(a a))) 8. ==[ alpha ]==> ((a b)((^x.x)(a a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 151573/16381056. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (a ((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151574/16381164. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151575/16381299. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 151576/16381371. ------ 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)) REDUCED to normal form. ------ 151577/16381398. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(a a)) b)) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(a a)) b)) REDUCED to normal form. ------ 151578/16381425. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) b) c)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b) c)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b) c)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) c)) 7. ==[ beta ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 151579/16381569. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.(a a)))) IRREDUCIBLE: cycle. ------ 151580/16381650. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 151581/16381677. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^b.b))) 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. ------ 151582/16381686. ------ 1. ==[ start ]==> (((a a)(^a.b))(c ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))(c ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.b))(c b)) REDUCED to normal form. ------ 151583/16381740. ------ 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. ------ 151584/16381767. ------ 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. ------ 151585/16381794. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) b)(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 151586/16381821. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 151587/16381848. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 151588/16382037. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 151589/16382082. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(b (^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151590/16382163. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.b)(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. ------ 151591/16382244. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^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. ------ 151592/16382298. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a b))) 5. ==[ beta ]==> ((a a)((^y.b)(a b))) 6. ==[ alpha ]==> ((a a)((^x.b)(a b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 151593/16382325. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 151594/16382379. ------ 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))(b a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(b a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(b a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(b a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(b a))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(b a))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 11. ==[ beta ]==> ((^y.(y y))(b a)) 12. ==[ alpha ]==> ((^x.(x x))(b a)) 13. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 151595/16382460. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 151596/16382784. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(^b.b))) 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. ------ 151597/16382928. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 151598/16382955. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) b)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 151599/16382982. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)((a a) a))) REDUCED to normal form. ------ 151600/16383036. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a a))) 7. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 151601/16383063. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 151602/16383117. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151603/16383144. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 151604/16383162. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 151605/16383261. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 151606/16383288. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 151607/16383315. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b)(^y.a))) 3. ==[ beta ]==> ((a (a b))((a b)(^y.a))) 4. ==[ alpha ]==> ((a (a b))((a b)(^x.a))) REDUCED to normal form. ------ 151608/16383342. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 151609/16383369. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(a a)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 11. ==[ beta ]==> ((^y.y)(^z.(a a))) 12. ==[ alpha ]==> ((^x.x)(^y.(a a))) 13. ==[ beta ]==> (^y.(a a)) 14. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 151610/16383450. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 151611/16383477. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(^y.y))) REDUCED to normal form. ------ 151612/16383504. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (b a))(((^x.x) b) a)) 3. ==[ beta ]==> ((a (b a))(b a)) REDUCED to normal form. ------ 151613/16383594. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151614/16383675. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (b ((^z.a)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 151615/16383783. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 151616/16383810. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(^b.b))) 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. ------ 151617/16383846. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 151618/16383873. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((b a)(a (^y.y)))) REDUCED to normal form. ------ 151619/16383927. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 151620/16383954. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 151621/16383981. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 151622/16384008. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 151623/16384152. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 151624/16384179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((b a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 151625/16384206. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 151626/16384233. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.(x x)))) REDUCED to normal form. ------ 151627/16384260. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 151628/16384341. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 151629/16384350. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151630/16384431. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^z.z)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.x)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 151631/16384512. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.(^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. ------ 151632/16384620. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151633/16384647. ------ 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.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 151634/16384674. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 151635/16384728. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 151636/16384737. ------ 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. ------ 151637/16384764. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((b a)(a a))) 5. ==[ beta ]==> ((^y.b)((b a)(a a))) 6. ==[ alpha ]==> ((^x.b)((b a)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 151638/16384818. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 151639/16384845. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(a (a a)))) REDUCED to normal form. ------ 151640/16384872. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a)(^z.z))) REDUCED to normal form. ------ 151641/16384926. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))(a b))) REDUCED to normal form. ------ 151642/16385043. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((b a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))((b a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))((b a)(^x.x))) REDUCED to normal form. ------ 151643/16385070. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 151644/16385097. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 151645/16385124. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^y.y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 151646/16385151. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a 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. ------ 151647/16385232. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.(a a)))) REDUCED to normal form. ------ 151648/16385259. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 151649/16385268. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^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. ------ 151650/16385295. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(b a))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(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. ------ 151651/16385430. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 151652/16385547. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b ((a a)(^z.z)))) REDUCED to normal form. ------ 151653/16385574. ------ 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. ------ 151654/16385601. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 151655/16385628. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(a (^y1.y1)))) REDUCED to normal form. ------ 151656/16385709. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151657/16385736. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))((a a) a))) REDUCED to normal form. ------ 151658/16385763. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a b)(^x.a))(a (a b))) REDUCED to normal form. ------ 151659/16385790. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 151660/16385817. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 151661/16385934. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 151662/16385961. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 151663/16385988. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a))(^y.a))) 3. ==[ beta ]==> ((a (b a))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((a (b a))((a (a a))(^x.a))) REDUCED to normal form. ------ 151664/16386015. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a (^z.b))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a (^y.b))) REDUCED to normal form. ------ 151665/16386042. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.(a a)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 151666/16386069. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 151667/16386096. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((a a) a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 151668/16386123. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) b)) 7. ==[ beta ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 151669/16386150. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a b) c)) REDUCED to normal form. ------ 151670/16386294. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^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. ------ 151671/16386537. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151672/16386618. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(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. ------ 151673/16386645. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 151674/16386699. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((b a)(b a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((b a)(b a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.y))) 11. ==[ beta ]==> (((b a)(b a))(^y.y)) 12. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 151675/16386780. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 151676/16386888. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151677/16387014. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a)) a)) 5. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 151678/16387041. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.b) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.b) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b) b)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 151679/16387068. ------ 1. ==[ start ]==> (((a (a a))(b a))((^c.a) c)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a) c)) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 151680/16387257. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 151681/16387284. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.a))) 7. ==[ beta ]==> ((b (a (^x.x)))(^z.a)) 8. ==[ alpha ]==> ((b (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 151682/16387311. ------ 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. ------ 151683/16387338. ------ 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. ------ 151684/16387428. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.b)(^y2.y2))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.b)(^y2.y2))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151685/16387509. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(z z))(^x1.(x1 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. ------ 151686/16387653. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b c)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b c)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b c)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((b c)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((b c)(a (^y.y))) 8. ==[ alpha ]==> ((b c)(a (^x.x))) REDUCED to normal form. ------ 151687/16387680. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)((a (a a)) a)) REDUCED to normal form. ------ 151688/16387725. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 151689/16387752. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 151690/16387887. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 151691/16387995. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151692/16388121. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a) a)) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 151693/16388148. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 151694/16388175. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(z z)) c)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(z z)) c)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y)) c)) 5. ==[ beta ]==> ((a b)((^y.(y y)) c)) 6. ==[ alpha ]==> ((a b)((^x.(x x)) c)) 7. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 151695/16388283. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b)(a a))(^y.y)) 8. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 151696/16388310. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 151697/16388337. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.a))) REDUCED to normal form. ------ 151698/16388391. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 151699/16388418. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((b ((^y.y) a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((b a)(((^y.y)(^z.z)) a)) 6. ==[ alpha ]==> ((b a)(((^x.x)(^y.y)) a)) 7. ==[ beta ]==> ((b a)((^y.y) a)) 8. ==[ alpha ]==> ((b a)((^x.x) a)) 9. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 151700/16388445. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 151701/16388670. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 151702/16388778. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151703/16388895. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a (a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a (a a)))) REDUCED to normal form. ------ 151704/16388940. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 151705/16388994. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a (^z.(z z)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a (^z.(z z)))) 5. ==[ beta ]==> ((b ((^y.y) b))(a (^z.(z z)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(a (^y.(y y)))) 7. ==[ beta ]==> ((b b)(a (^y.(y y)))) 8. ==[ alpha ]==> ((b b)(a (^x.(x x)))) REDUCED to normal form. ------ 151706/16389075. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 151707/16389084. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a d)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a d)) REDUCED to normal form. ------ 151708/16389111. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(c (a a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(c (a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(c (a a))) REDUCED to normal form. ------ 151709/16389138. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(b (a (^z.z)))) REDUCED to normal form. ------ 151710/16389192. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(a a))) REDUCED to normal form. ------ 151711/16389219. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((b (^y.(y y)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 151712/16389246. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(c a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(c a)) REDUCED to normal form. ------ 151713/16389318. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(x (^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.z)) REDUCED to normal form. ------ 151714/16389336. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((a a) b)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((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. ------ 151715/16389363. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(b (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 151716/16389390. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))((^y.y) b)) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y) b)) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x) b)) 5. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 151717/16389417. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 151718/16389444. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))((a a) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a) a)) 5. ==[ beta ]==> ((a (^y.(^z.z)))((a a) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 151719/16389471. ------ 1. ==[ start ]==> ((((a a) a)(b a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(b a))((^x.x) a)) 3. ==[ beta ]==> ((((a a) a)(b a)) a) REDUCED to normal form. ------ 151720/16389497. ------ 1. ==[ start ]==> (^a.((a b)((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.((x b)((x x)(^y.y)))) REDUCED to normal form. ------ 151721/16389498. ------ 1. ==[ start ]==> (a ((a b)((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((a b)((a a)(^x.x)))) REDUCED to normal form. ------ 151722/16399413. ------ 1. ==[ start ]==> (((a b)((a a)(^a.a))) a) 2. ==[ alpha ]==> (((a b)((a a)(^x.x))) a) REDUCED to normal form. ------ 151723/16399419. ------ 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. ------ 151724/16399446. ------ 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)(b a))(((a a) a)(b a))) REDUCED to normal form. ------ 151725/16399473. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 151726/16399554. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^z.z))(b (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 151727/16399602. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(z (^x1.x1))))) REDUCED to normal form. ------ 151728/16399671. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(a a))(^z.a))) 3. ==[ beta ]==> (^y.(((a a)(a a))(^z.a))) 4. ==[ alpha ]==> (^x.(((a a)(a a))(^y.a))) REDUCED to normal form. ------ 151729/16399914. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(^b.b))) 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. ------ 151730/16400007. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a a)(^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a a)(^x.((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 151731/16400796. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(b (^y.y)))) 3. ==[ beta ]==> ((((a a)(b (^y.y)))((a a)(b (^y.y))))((a a)(b (^y.y)))) 4. ==[ alpha ]==> ((((a a)(b (^x.x)))((a a)(b (^y.y))))((a a)(b (^z.z)))) REDUCED to normal form. ------ 151732/16401129. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 151733/16401903. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))((^x1.x1) b))((a (^z.z))((^x1.x1) b)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))((^z.z) b))((a (^x1.x1))((^y1.y1) b)))) 5. ==[ beta ]==> (((a (^y.y))((^z.z) b))((a (^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))((^x1.x1) b))) 7. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))((^x1.x1) b))) 8. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((^z.z) b))) 9. ==[ beta ]==> (((a (^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 151734/16402293. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 151735/16402302. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 151736/16403004. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 151737/16404264. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 151738/16404570. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 151739/16406406. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 151740/16406613. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 151741/16406622. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 151742/16406847. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 151743/16407621. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 151744/16407954. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 151745/16408611. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151746/16408728. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 5. ==[ beta ]==> (a (^y.(^z.(z z)))) 6. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 151747/16408836. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 151748/16408908. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 151749/16408917. ------ 1. ==[ start ]==> (((a b)(^c.(^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. ------ 151750/16409079. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 151751/16409133. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 7. ==[ beta ]==> (^y.(a (^z.z))) 8. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 151752/16409148. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((a (^x1.x1)) a)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 151753/16409196. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 151754/16409277. ------ 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)) REDUCED to normal form. ------ 151755/16409304. ------ 1. ==[ start ]==> ((((a a) a)(b a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(b a))(^x.(x x))) REDUCED to normal form. ------ 151756/16409331. ------ 1. ==[ start ]==> (((a b)((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a b)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 151757/16409343. ------ 1. ==[ start ]==> ((a a)((a b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((a b)((a a)(^x.x)))) REDUCED to normal form. ------ 151758/16409370. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)(b a))) REDUCED to normal form. ------ 151759/16409397. ------ 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)((^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. ------ 151760/16409451. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 151761/16409478. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 151762/16409523. ------ 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. ------ 151763/16409541. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.y))(((^z.(^x1.x1)) a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.(^z.z)) a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^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. ------ 151764/16409568. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 151765/16409595. ------ 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. ------ 151766/16409631. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b)(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. ------ 151767/16409676. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.a)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.a)((b a)(^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 151768/16409703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.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. ------ 151769/16409712. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^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. ------ 151770/16409739. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 151771/16409757. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 151772/16409766. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 151773/16409820. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 151774/16409838. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 151775/16409928. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 151776/16409946. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.(^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)(((^z.(^x1.x1)) a) a)) 8. ==[ alpha ]==> (((^x.x) a)(((^y.(^z.z)) a) a)) 9. ==[ beta ]==> (a (((^y.(^z.z)) a) a)) 10. ==[ alpha ]==> (a (((^x.(^y.y)) a) a)) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151777/16409973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 151778/16410009. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 151779/16410036. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(y y))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(x x))) REDUCED to normal form. ------ 151780/16410063. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 151781/16410144. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 151782/16410252. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^b.b))) 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))) 5. ==[ beta ]==> ((b b)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 151783/16410585. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 151784/16410612. ------ 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))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(b a))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(b a)) REDUCED to normal form. ------ 151785/16410639. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)((a (a a))(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 151786/16410666. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a ((^y.y) b))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(a b)) REDUCED to normal form. ------ 151787/16410693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a (^y.y))((a a)(a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 151788/16410720. ------ 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. ------ 151789/16410756. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((b (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 151790/16410810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) b)(^x1.a))) 5. ==[ beta ]==> (a (((^z.z) b)(^x1.a))) 6. ==[ alpha ]==> (a (((^x.x) b)(^y.a))) 7. ==[ beta ]==> (a (b (^y.a))) 8. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 151791/16410846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a (a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (a a)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 151792/16410918. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 151793/16410927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 151794/16410954. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 151795/16410981. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 151796/16411008. ------ 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))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151797/16411035. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 151798/16411053. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 151799/16411224. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 151800/16411413. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 151801/16411440. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 151802/16411638. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 151803/16411665. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 151804/16411692. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(a b))) 5. ==[ beta ]==> ((a (^y.y))((a b)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 151805/16411719. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 151806/16411746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a)(^z.z)))) 9. ==[ beta ]==> (a ((^y.y)((a a)(^z.z)))) 10. ==[ alpha ]==> (a ((^x.x)((a a)(^y.y)))) 11. ==[ beta ]==> (a ((a a)(^y.y))) 12. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 151807/16411773. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a))(b a))) REDUCED to normal form. ------ 151808/16411800. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b)(a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a b)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 151809/16411827. ------ 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 (a a))((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> ((a (a a))((a (^x.x)) b)) REDUCED to normal form. ------ 151810/16411917. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.(^x2.x2)))) 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. ------ 151811/16411998. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 151812/16412007. ------ 1. ==[ start ]==> (((a b) b)((^c.(^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. ------ 151813/16412034. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))((a a) a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 151814/16412052. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(^z.b))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.b))) 5. ==[ beta ]==> ((a a)((a b)(^y.b))) 6. ==[ alpha ]==> ((a a)((a b)(^x.b))) REDUCED to normal form. ------ 151815/16412061. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(a b))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 151816/16412079. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((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. ------ 151817/16412088. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 151818/16412142. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((b a)(b a))) REDUCED to normal form. ------ 151819/16412169. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (((^y.a)(a (^z.(^x1.x1))))((^y.a)(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> (((^x.a)(a (^y.(^z.z))))((^x1.a)(a (^y1.(^z1.z1))))) 9. ==[ beta ]==> (a ((^x1.a)(a (^y1.(^z1.z1))))) 10. ==[ alpha ]==> (a ((^x.a)(a (^y.(^z.z))))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151820/16412196. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 151821/16412214. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (b ((a a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 151822/16412223. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 151823/16412439. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 151824/16412871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151825/16412898. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 151826/16412925. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 151827/16412952. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.b)(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. ------ 151828/16412979. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 151829/16413492. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 151830/16413618. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 151831/16413825. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(b a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(b a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 151832/16413852. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 151833/16413879. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))((a a)(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 151834/16414086. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^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. ------ 151835/16414104. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151836/16414185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((a a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 151837/16414266. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> (b (((a a)(^x1.x1)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 151838/16414383. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 151839/16414410. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a))(^y1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 151840/16414491. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 151841/16414563. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151842/16414716. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 151843/16414743. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 151844/16414770. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)(b a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)(b a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(b a))) REDUCED to normal form. ------ 151845/16414977. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 151846/16415022. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 151847/16415301. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 151848/16415517. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (^y.b))) REDUCED to normal form. ------ 151849/16415544. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 151850/16415571. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 151851/16415616. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151852/16415652. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 151853/16416183. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) d)) 3. ==[ beta ]==> (b ((^z.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 151854/16416327. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 151855/16416354. ------ 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. ------ 151856/16416372. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 151857/16416399. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 151858/16416408. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 151859/16416435. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 151860/16416453. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 151861/16416516. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 151862/16416534. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)(^y.(a a)))) 3. ==[ beta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 151863/16416543. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 151864/16416597. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 151865/16416651. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 151866/16416678. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 151867/16416705. ------ 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. ------ 151868/16416741. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (a b))) REDUCED to normal form. ------ 151869/16416768. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 151870/16416795. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a b)(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a b)(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)(a a))) REDUCED to normal form. ------ 151871/16416822. ------ 1. ==[ start ]==> (((a (a a))(b a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 151872/16416849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) a))) 9. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 10. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 11. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 151873/16416876. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 151874/16416903. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) 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)))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 151875/16416930. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 151876/16416957. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(a b))) REDUCED to normal form. ------ 151877/16417182. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a b) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a b) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((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. ------ 151878/16417371. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151879/16417542. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(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))) REDUCED to normal form. ------ 151880/16417560. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((a a) a)(^y1.y1))) REDUCED to normal form. ------ 151881/16417641. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a)(^x1.(x1 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. ------ 151882/16417650. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 151883/16417677. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 151884/16417749. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151885/16417758. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 151886/16417785. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((b (^y.a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((b (^x.a))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((b (^x.a))((^y.a)(^z.a))) 7. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 151887/16417812. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 151888/16417875. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 151889/16417902. ------ 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))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a a)) REDUCED to normal form. ------ 151890/16417929. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))(a (^y.y)))) 5. ==[ beta ]==> ((a b)((a (a a))(a (^y.y)))) 6. ==[ alpha ]==> ((a b)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 151891/16417956. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 151892/16417983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((b a)((a (^y.y))(a (a a)))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 151893/16418010. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 151894/16418343. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(z z)) 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. ------ 151895/16418532. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151896/16418649. ------ 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) a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 151897/16418667. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 7. ==[ beta ]==> ((^y.(y y)) a) 8. ==[ alpha ]==> ((^x.(x x)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 151898/16418694. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 151899/16418757. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 151900/16418784. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151901/16418829. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 151902/16418838. ------ 1. ==[ start ]==> (((a b)(^c.(^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. ------ 151903/16418865. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 151904/16418892. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 151905/16418937. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151906/16418946. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(c (^y1.y1))) REDUCED to normal form. ------ 151907/16418973. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(y y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 151908/16419000. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(a (^y.a))) REDUCED to normal form. ------ 151909/16419054. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) 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. ------ 151910/16419072. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 151911/16419090. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(b (a a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(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. ------ 151912/16419117. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 151913/16419144. ------ 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. ------ 151914/16419171. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(b a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(b a)) 3. ==[ beta ]==> (((a (a a)) b)(b a)) REDUCED to normal form. ------ 151915/16419198. ------ 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)) REDUCED to normal form. ------ 151916/16419225. ------ 1. ==[ start ]==> ((((a a) a)(b a))(a (a a))) REDUCED to normal form. ------ 151917/16419252. ------ 1. ==[ start ]==> (((a b)((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((a b)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 151918/16419858. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.((^z.(^x1.x1)) a))((^y.((^z.(^x1.x1)) a))(^y.((^z.(^x1.x1)) a)))) 4. ==[ alpha ]==> ((^x.((^y.(^z.z)) a))((^x1.((^y1.(^z1.z1)) a))(^x2.((^y2.(^z2.z2)) 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. ------ 151919/16423179. ------ 1. ==[ start ]==> ((^a.(b a))(^b.((^a.a) b))) 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. ------ 151920/16429176. ------ 1. ==[ start ]==> (((a b)((a a)(^a.a))) b) 2. ==[ alpha ]==> (((a b)((a a)(^x.x))) b) REDUCED to normal form. ------ 151921/16429200. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151922/16429281. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))((^x1.x1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151923/16429515. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151924/16429785. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))(((^y.y)((^z.(^x1.x1)) a))((^y.y)((^z.(^x1.x1)) a)))) 4. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(((^x1.x1)((^y1.(^z1.z1)) a))((^x2.x2)((^y2.(^z2.z2)) a)))) 5. ==[ beta ]==> (((^y.(^z.z)) a)(((^x1.x1)((^y1.(^z1.z1)) a))((^x2.x2)((^y2.(^z2.z2)) a)))) 6. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)((^x1.(^y1.y1)) a))((^z1.z1)((^x2.(^y2.y2)) a)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)((^x1.(^y1.y1)) a))((^z1.z1)((^x2.(^y2.y2)) a)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)((^z.(^x1.x1)) a))((^y1.y1)((^z1.(^x2.x2)) a)))) 9. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))((^y1.y1)((^z1.(^x2.x2)) a))) 10. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)((^y1.(^z1.z1)) a))) 11. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)((^y1.(^z1.z1)) a))) 12. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)((^x1.(^y1.y1)) a))) 13. ==[ beta ]==> ((^y.y)((^z.z)((^x1.(^y1.y1)) a))) 14. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 15. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 16. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 17. ==[ beta ]==> ((^y.(^z.z)) a) 18. ==[ alpha ]==> ((^x.(^y.y)) a) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151925/16429788. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (a (a a)))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 151926/16430136. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151927/16430976. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 151928/16431081. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1))) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151929/16431363. ------ 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)))) REDUCED to normal form. ------ 151930/16431468. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a)(a (a a)))) 3. ==[ beta ]==> (^y.(((b a)(a (a a)))((b a)(a (a a))))) 4. ==[ alpha ]==> (^x.(((b a)(a (a a)))((b a)(a (a a))))) REDUCED to normal form. ------ 151931/16431714. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 151932/16432074. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 151933/16432767. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (b (^z.((^x1.x1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 151934/16433106. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)((^z.z) b))) 3. ==[ eta ]==> (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. ------ 151935/16433109. ------ 1. ==[ start ]==> ((a (b a))(^b.((^a.a) b))) 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. ------ 151936/16433655. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 151937/16433757. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 151938/16433943. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 151939/16434546. ------ 1. ==[ start ]==> ((^a.(^b.b))((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. ------ 151940/16434648. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 151941/16434861. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 151942/16435197. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)((^y.y) b)) b) 4. ==[ beta ]==> (((^y.y) b) b) 5. ==[ alpha ]==> (((^x.x) b) b) 6. ==[ beta ]==> (b b) REDUCED to normal form. ------ 151943/16435701. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 151944/16436394. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 151945/16436619. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(a a)))) REDUCED to normal form. ------ 151946/16436940. ------ 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 (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 151947/16437222. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(y1 b))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151948/16437726. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 151949/16437888. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.y))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 151950/16438023. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)(^x.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 151951/16438101. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.a)(^y1.a))) 3. ==[ eta ]==> ((^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. ------ 151952/16438275. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 151953/16438518. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(z (z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 7. ==[ beta ]==> (^y.(y (y y))) 8. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 151954/16438599. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.((^z.z) a))) 7. ==[ beta ]==> ((b b)(^y.((^z.z) a))) 8. ==[ alpha ]==> ((b b)(^x.((^y.y) a))) 9. ==[ beta ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 151955/16438689. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 151956/16438788. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.((^x2.x2) z1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^x2.x2)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.z1)) 5. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151957/16438851. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^b.c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.c)) REDUCED to normal form. ------ 151958/16438968. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 151959/16439022. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 151960/16439049. ------ 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))) REDUCED to normal form. ------ 151961/16439076. ------ 1. ==[ start ]==> ((((a a) a)(b a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 151962/16439103. ------ 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. ------ 151963/16439133. ------ 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. ------ 151964/16439160. ------ 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. ------ 151965/16439187. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.y)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.x)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 151966/16439214. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 151967/16439268. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151968/16439295. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.(^y1.y1)) 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. ------ 151969/16439331. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^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. ------ 151970/16439358. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 151971/16439412. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 151972/16439421. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b)(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. ------ 151973/16439448. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 151974/16439493. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(^z.b))) REDUCED to normal form. ------ 151975/16439520. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 151976/16439547. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 151977/16439601. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 151978/16439637. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y) b))) 5. ==[ beta ]==> (((a a) a)(((^y.y) b)((^y.y) b))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) b)((^y.y) b))) 7. ==[ beta ]==> (((a a) a)(b ((^y.y) b))) 8. ==[ alpha ]==> (((a a) a)(b ((^x.x) b))) 9. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 151979/16439664. ------ 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)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 151980/16439691. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b (^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 151981/16439718. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 151982/16439790. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(a a)) c)) 3. ==[ beta ]==> ((a b)(((a a)(a a)) c)) REDUCED to normal form. ------ 151983/16439961. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(^c.(^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. ------ 151984/16440015. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 151985/16440042. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 151986/16440069. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^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. ------ 151987/16440078. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 151988/16440105. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 151989/16440159. ------ 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)) REDUCED to normal form. ------ 151990/16440213. ------ 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. ------ 151991/16440240. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 151992/16440294. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 151993/16440627. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 151994/16440654. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 151995/16440708. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.b))) REDUCED to normal form. ------ 151996/16440735. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 151997/16440762. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 151998/16440816. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 151999/16440852. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)((^y.y) b))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 152000/16440879. ------ 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))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((a 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. ------ 152001/16440906. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(b (^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))(b (^y.y))) 6. ==[ alpha ]==> ((a (a (a a)))(b (^x.x))) REDUCED to normal form. ------ 152002/16440987. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.a)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.a)) REDUCED to normal form. ------ 152003/16441014. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 152004/16441293. ------ 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. ------ 152005/16441329. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) b)) 5. ==[ beta ]==> ((^y.a)((^z.(a a)) b)) 6. ==[ alpha ]==> ((^x.a)((^y.(a a)) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 152006/16441356. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) c) REDUCED to normal form. ------ 152007/16441374. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 152008/16441401. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a)(a (a a)))) REDUCED to normal form. ------ 152009/16441617. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152010/16441644. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 152011/16441788. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 152012/16441842. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(^y.b))) REDUCED to normal form. ------ 152013/16441869. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 152014/16441950. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.(^y1.y1))))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 9. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 10. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 11. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(^z1.(^x2.x2))))) 12. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 152015/16441977. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 152016/16442004. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 152017/16442031. ------ 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. ------ 152018/16442067. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.b)(^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. ------ 152019/16442094. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 152020/16442175. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 152021/16442202. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)(^z.b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)(^z.b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.b))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 152022/16442229. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 152023/16442256. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 152024/16442319. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(c (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.(^z.z))))) 5. ==[ beta ]==> (c (a (^y.(^z.z)))) 6. ==[ alpha ]==> (c (a (^x.(^y.y)))) REDUCED to normal form. ------ 152025/16442454. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((b a)((^z.z) a))) 3. ==[ beta ]==> (b ((b a)((^z.z) a))) 4. ==[ alpha ]==> (b ((b a)((^x.x) a))) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 152026/16442463. ------ 1. ==[ start ]==> (((a b) c)((^d.a) d)) 2. ==[ alpha ]==> (((a b) c)((^x.a) d)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 152027/16442535. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 152028/16442562. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a)(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. ------ 152029/16442616. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 152030/16442697. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)((^z.z) b))) 3. ==[ beta ]==> (b ((a a)((^z.z) b))) 4. ==[ alpha ]==> (b ((a a)((^x.x) b))) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 152031/16442733. ------ 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) b)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 152032/16442760. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 152033/16442850. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 152034/16442877. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 152035/16442931. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))((^z.z)(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. ------ 152036/16442958. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (((a b) a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 152037/16442985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(b a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(b a))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 152038/16443012. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 152039/16443039. ------ 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. ------ 152040/16443318. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (b a))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (b a))) 3. ==[ beta ]==> ((b a)(c (b a))) REDUCED to normal form. ------ 152041/16443345. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 152042/16443381. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.b) 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. ------ 152043/16443399. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 152044/16443408. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 152045/16443462. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 152046/16443480. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 152047/16443588. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a a))) REDUCED to normal form. ------ 152048/16443660. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(b (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 152049/16443687. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.x))) REDUCED to normal form. ------ 152050/16443714. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 152051/16443768. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 152052/16443795. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 152053/16443822. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 152054/16443867. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152055/16443876. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 152056/16444263. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (b a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (b a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (b a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (b a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (b a))) 7. ==[ beta ]==> (((a a)(a a))(b (b a))) REDUCED to normal form. ------ 152057/16444299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 152058/16444344. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 152059/16444353. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.(^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. ------ 152060/16444452. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(^y1.y1))((a 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. ------ 152061/16444479. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 152062/16444524. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 152063/16444578. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 152064/16444659. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 152065/16444686. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(a (a a)))) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 152066/16444758. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 152067/16444767. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a b)(a b))) REDUCED to normal form. ------ 152068/16444794. ------ 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 b)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 152069/16445127. ------ 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. ------ 152070/16445154. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 152071/16445208. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b) a)) REDUCED to normal form. ------ 152072/16445289. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 152073/16445406. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 152074/16445433. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 152075/16445469. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 152076/16445523. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 152077/16445550. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 152078/16445577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(a b))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a b))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a b))) 7. ==[ beta ]==> ((a a)((^y.a)(a b))) 8. ==[ alpha ]==> ((a a)((^x.a)(a b))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 152079/16445604. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 152080/16445631. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b)((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 152081/16445685. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 152082/16445766. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 152083/16445829. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(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. ------ 152084/16445964. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((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. ------ 152085/16446072. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152086/16446135. ------ 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. ------ 152087/16446189. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.a))) REDUCED to normal form. ------ 152088/16446216. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(y1 y1))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 152089/16446297. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 152090/16446324. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(^y.(a a)))) REDUCED to normal form. ------ 152091/16446378. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b) b)) REDUCED to normal form. ------ 152092/16446522. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 152093/16446549. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.(a a))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 152094/16446738. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b (^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.b))) REDUCED to normal form. ------ 152095/16446792. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.b)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.b)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 152096/16446819. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 152097/16446846. ------ 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. ------ 152098/16446873. ------ 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. ------ 152099/16447152. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152100/16447188. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a) b)) 3. ==[ beta ]==> ((b c)((^y.a) b)) 4. ==[ alpha ]==> ((b c)((^x.a) b)) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 152101/16447215. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 152102/16447260. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((b (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 152103/16447287. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 152104/16447350. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 152105/16447431. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 152106/16447458. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 152107/16447539. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((^y1.y1) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) b) REDUCED to normal form. ------ 152108/16447566. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (a a)) c)) 3. ==[ beta ]==> ((b (^y.a))((a (a a)) c)) 4. ==[ alpha ]==> ((b (^x.a))((a (a a)) c)) REDUCED to normal form. ------ 152109/16447656. ------ 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 (^x.x)))(^z.a)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.a)) REDUCED to normal form. ------ 152110/16447764. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(b a))(c (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(b a))(c (^y.(y y)))) 5. ==[ beta ]==> ((b a)(c (^y.(y y)))) 6. ==[ alpha ]==> ((b a)(c (^x.(x x)))) REDUCED to normal form. ------ 152111/16447791. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 152112/16447818. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a (^c.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. ------ 152113/16447845. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 152114/16447872. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 152115/16447926. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 152116/16447953. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 152117/16447980. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 152118/16448034. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^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. ------ 152119/16448124. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 152120/16448205. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 152121/16448448. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a (a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a (a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a (a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a (a a)))) 6. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 152122/16448475. ------ 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)(((^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. ------ 152123/16448529. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a a)((^z.z) a))) 5. ==[ beta ]==> ((b ((^y.y) b))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a a)((^y.y) a))) 7. ==[ beta ]==> ((b b)((a a)((^y.y) a))) 8. ==[ alpha ]==> ((b b)((a a)((^x.x) a))) 9. ==[ beta ]==> ((b b)((a a) a)) REDUCED to normal form. ------ 152124/16448565. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152125/16448610. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 152126/16448619. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 152127/16448646. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(((^z.z) a) a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a) a)) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 152128/16448673. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a (^z.z)) b)) REDUCED to normal form. ------ 152129/16448718. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(a ((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152130/16448727. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 152131/16448754. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 152132/16448781. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.a) c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.y) c)) 3. ==[ beta ]==> ((((a a)(a a))(^x.a)) c) REDUCED to normal form. ------ 152133/16448835. ------ 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. ------ 152134/16448871. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((^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. ------ 152135/16448898. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(b (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 152136/16448925. ------ 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. ------ 152137/16448952. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 152138/16448979. ------ 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 (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 152139/16449006. ------ 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. ------ 152140/16449033. ------ 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. ------ 152141/16452969. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^b.b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.z))) 3. ==[ eta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 152142/16458783. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 152143/16458966. ------ 1. ==[ start ]==> (((a b)((a a)(^a.a))) c) 2. ==[ alpha ]==> (((a b)((a a)(^x.x))) c) REDUCED to normal form. ------ 152144/16459191. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(x1 (^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 (^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z (^x1.x1))))) REDUCED to normal form. ------ 152145/16459314. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 152146/16459485. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 152147/16459596. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.(y y))(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.((^z.(^x1.x1)) a))(^y.((^z.(^x1.x1)) a))) 6. ==[ alpha ]==> ((^x.((^y.(^z.z)) a))(^x1.((^y1.(^z1.z1)) 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. ------ 152148/16459809. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152149/16460700. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 152150/16461171. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(b (^z.z)))) REDUCED to normal form. ------ 152151/16462575. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 152152/16462905. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^b.b))) 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. ------ 152153/16462908. ------ 1. ==[ start ]==> ((a (b a))(^c.(^b.b))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 152154/16463250. ------ 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)))(^y.b)) REDUCED to normal form. ------ 152155/16463742. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))(^z1.b))(^y.(^z.z))) 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. ------ 152156/16464168. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.b)(^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.b)(^y.(y (^z.(^x1.x1))))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 152157/16464660. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 152158/16465005. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(b y))) 3. ==[ eta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 152159/16465500. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 152160/16465977. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 152161/16466739. ------ 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 (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 152162/16466832. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.(x x))(^y.(^z.(^x1.x1)))) a) 4. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) a) 5. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 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. ------ 152163/16467021. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152164/16467192. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 152165/16467210. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.b))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.b))) REDUCED to normal form. ------ 152166/16467822. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 152167/16468074. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.(^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. ------ 152168/16468317. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 152169/16468407. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^c.((^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. ------ 152170/16468488. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^d.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 152171/16468587. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152172/16468596. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 152173/16468650. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 152174/16468719. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 152175/16468722. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 152176/16468767. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.b)) REDUCED to normal form. ------ 152177/16468821. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^b.b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.y)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 152178/16468875. ------ 1. ==[ start ]==> ((((a a) a)(b a))(^c.a)) 2. ==[ alpha ]==> ((((a a) a)(b a))(^x.a)) REDUCED to normal form. ------ 152179/16468902. ------ 1. ==[ start ]==> (((a b)((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a b)((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 152180/16468950. ------ 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. ------ 152181/16468977. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)(b a))) REDUCED to normal form. ------ 152182/16469004. ------ 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))((^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. ------ 152183/16469031. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))((^y.y) b))) 3. ==[ beta ]==> (b ((a (a a))((^y.y) b))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) b))) 5. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 152184/16469058. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 152185/16469085. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(b (^y.y)))) REDUCED to normal form. ------ 152186/16469112. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 152187/16469130. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(z (^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(z (^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(y (^z.z))))) REDUCED to normal form. ------ 152188/16469202. ------ 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))) REDUCED to normal form. ------ 152189/16469229. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) b)(^z.(z 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. ------ 152190/16469256. ------ 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)))) REDUCED to normal form. ------ 152191/16469265. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 152192/16469346. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (a ((^y.(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 152193/16469373. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 152194/16469427. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 152195/16469445. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 152196/16469535. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))((^y.y)((^z.(^x1.x1)) a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)((^y1.(^z1.z1)) a))) 7. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)((^y1.(^z1.z1)) a))) 8. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)((^x1.(^y1.y1)) a))) 9. ==[ beta ]==> ((^y.y)((^z.z)((^x1.(^y1.y1)) a))) 10. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 11. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 12. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 13. ==[ beta ]==> ((^y.(^z.z)) a) 14. ==[ alpha ]==> ((^x.(^y.y)) a) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152197/16469643. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 152198/16469670. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152199/16469751. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 152200/16469886. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152201/16469976. ------ 1. ==[ start ]==> (((a (a a)) b)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((b (^x.x))(a a))) REDUCED to normal form. ------ 152202/16470003. ------ 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. ------ 152203/16470030. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 152204/16470057. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 152205/16470084. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))((b a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 152206/16470111. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 152207/16470138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 7. ==[ beta ]==> (((^y.y)(a a))(a b)) 8. ==[ alpha ]==> (((^x.x)(a a))(a b)) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 152208/16470399. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (a ((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 152209/16470561. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)((^y.b)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(a a)))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 152210/16470642. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.b))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 152211/16470660. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 152212/16470741. ------ 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)) REDUCED to normal form. ------ 152213/16470768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(a a)) b)) 5. ==[ beta ]==> ((a (^y.y))(((a a)(a a)) b)) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) b)) REDUCED to normal form. ------ 152214/16470795. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) b) c)) 3. ==[ beta ]==> ((((a a) a)(a a))(b c)) REDUCED to normal form. ------ 152215/16470831. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 152216/16470912. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.b))) IRREDUCIBLE: cycle. ------ 152217/16471020. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 152218/16471047. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 152219/16471083. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a)(a a)))) REDUCED to normal form. ------ 152220/16471110. ------ 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. ------ 152221/16471137. ------ 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. ------ 152222/16471164. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 152223/16471191. ------ 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)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 152224/16471380. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))(b a))) 3. ==[ beta ]==> (b ((a (a a))(b a))) REDUCED to normal form. ------ 152225/16471425. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.z))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.z))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152226/16471452. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 152227/16471506. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 7. ==[ beta ]==> ((^y.(a a))(a a)) 8. ==[ alpha ]==> ((^x.(a a))(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152228/16471641. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(a a))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 152229/16471668. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 5. ==[ beta ]==> ((^y.b)(a b)) 6. ==[ alpha ]==> ((^x.b)(a b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 152230/16471722. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152231/16471803. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 152232/16471875. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) b) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b) b)) 5. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 152233/16471902. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 152234/16472127. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 152235/16472271. ------ 1. ==[ start ]==> (((a b) c)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((b a)((^x.x) a))) 3. ==[ beta ]==> (((a b) c)((b a) a)) REDUCED to normal form. ------ 152236/16472298. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 152237/16472325. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 152238/16472379. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(a b))) REDUCED to normal form. ------ 152239/16472406. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.b))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 152240/16472460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152241/16472487. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 152242/16472505. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^b.b))) 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. ------ 152243/16472514. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a b)(^x.a))((a a) b)) REDUCED to normal form. ------ 152244/16472604. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((b a)(^y.a))) REDUCED to normal form. ------ 152245/16472631. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 152246/16472658. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 152247/16472685. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a b)(^x.a))) REDUCED to normal form. ------ 152248/16472712. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.b))) 7. ==[ beta ]==> ((^y.y)(((a a) a)(^z.b))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 9. ==[ beta ]==> (((a a) a)(^y.b)) 10. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 152249/16472739. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.(a a))) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 152250/16472766. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 152251/16472820. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 152252/16472847. ------ 1. ==[ start ]==> ((a (b a))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.x))) REDUCED to normal form. ------ 152253/16473018. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (b ((^z.b)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 152254/16473153. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152255/16473189. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.(a a)))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 152256/16473216. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 152257/16473270. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 152258/16473297. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 152259/16473324. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))((a b)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 152260/16473351. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 152261/16473522. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(^x1.x1))) 6. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 152262/16473549. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 152263/16473576. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 152264/16473603. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.(y y)))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 152265/16473630. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 152266/16473684. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.b)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.b)) REDUCED to normal form. ------ 152267/16473693. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152268/16473774. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 152269/16473990. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 152270/16474017. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152271/16474080. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (b a))) REDUCED to normal form. ------ 152272/16474107. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.b)(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.b)(a (a (^y.(^z.z))))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 152273/16474161. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 152274/16474188. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 152275/16474215. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b)(a (a a)))) REDUCED to normal form. ------ 152276/16474269. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)((a a) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a) a)) REDUCED to normal form. ------ 152277/16474413. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a b))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a b))((b a)(^y.y))) 5. ==[ beta ]==> ((a b)((b a)(^y.y))) 6. ==[ alpha ]==> ((a b)((b a)(^x.x))) REDUCED to normal form. ------ 152278/16474440. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 152279/16474467. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.a))) 6. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 152280/16474494. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a b)(^y.(y 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. ------ 152281/16474521. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 152282/16474575. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (a a))(^z.b))) REDUCED to normal form. ------ 152283/16474602. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 152284/16474611. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^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. ------ 152285/16474638. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))((a a)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))((a a)(^y2.y2)))) 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. ------ 152286/16474773. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 152287/16474881. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(^x2.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152288/16474890. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(c (a a))) REDUCED to normal form. ------ 152289/16474917. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((b a)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((b a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 152290/16474944. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (b a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (b a))) REDUCED to normal form. ------ 152291/16474971. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(a a))) REDUCED to normal form. ------ 152292/16475052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))(((a a) a)(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152293/16475079. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 8. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 152294/16475106. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))((a a) a))) REDUCED to normal form. ------ 152295/16475133. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(a b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 152296/16475160. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 152297/16475277. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a b)(^y.a))) 3. ==[ beta ]==> (((a a) b)((a b)(^y.a))) 4. ==[ alpha ]==> (((a a) b)((a b)(^x.a))) REDUCED to normal form. ------ 152298/16475304. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a) a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 152299/16475331. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 152300/16475385. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.b))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.b))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 9. ==[ beta ]==> ((a a)(a (^y.b))) 10. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 152301/16475412. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 152302/16475439. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 152303/16475466. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 152304/16475493. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a a) b)) REDUCED to normal form. ------ 152305/16475637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^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. ------ 152306/16475880. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152307/16475916. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 152308/16475961. ------ 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 a)) REDUCED to normal form. ------ 152309/16475988. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^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. ------ 152310/16476042. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 152311/16476123. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 152312/16476384. ------ 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 a)) REDUCED to normal form. ------ 152313/16476411. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.b) b)) 3. ==[ beta ]==> (((a (a a))(b a)) b) REDUCED to normal form. ------ 152314/16476600. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b)(^z.z))) REDUCED to normal form. ------ 152315/16476627. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 152316/16476654. ------ 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. ------ 152317/16476681. ------ 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. ------ 152318/16476771. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(a b))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(a b))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152319/16476852. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 152320/16476960. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152321/16476996. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((a a) a)(a a))) 3. ==[ beta ]==> ((b c)(((a a) a)(a a))) REDUCED to normal form. ------ 152322/16477023. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a)(a a)) b)(a (^y.y))) 6. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.x))) REDUCED to normal form. ------ 152323/16477131. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((a a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 152324/16477149. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a (^x1.b))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.b))) REDUCED to normal form. ------ 152325/16477230. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(z z))((^x1.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. ------ 152326/16477518. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 152327/16477653. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a b))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a b))(^y.y)) 8. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 152328/16477680. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 152329/16477734. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 152330/16477761. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 152331/16477788. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 152332/16478013. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 152333/16478121. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))((^y2.y2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))((^y2.y2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152334/16478238. ------ 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. ------ 152335/16478256. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^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. ------ 152336/16478337. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(b (^z.a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(b (^z.a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(b (^z.a))) 5. ==[ beta ]==> ((b ((^y.y) b))(b (^z.a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(b (^y.a))) 7. ==[ beta ]==> ((b b)(b (^y.a))) 8. ==[ alpha ]==> ((b b)(b (^x.a))) REDUCED to normal form. ------ 152337/16478346. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((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. ------ 152338/16478418. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 152339/16478427. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 152340/16478481. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(c (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(c (a a))) REDUCED to normal form. ------ 152341/16478526. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.z1)(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152342/16478535. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 152343/16478562. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((b (^y.(y y)))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((b (^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 152344/16478589. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 152345/16478643. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(b b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(b b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(b b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b b)) 5. ==[ beta ]==> ((^y.y)(b b)) 6. ==[ alpha ]==> ((^x.x)(b b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 152346/16478661. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x (^y.y))))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x (^y.y))))(a (^z.z))) REDUCED to normal form. ------ 152347/16478679. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((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. ------ 152348/16478706. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((a a) b)) REDUCED to normal form. ------ 152349/16478733. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 6. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 152350/16478760. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))((^y.y) b)) 3. ==[ beta ]==> (((a (a a)) b)((^y.y) b)) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x) b)) 5. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 152351/16478787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))((a a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 152352/16478814. ------ 1. ==[ start ]==> ((((a a) a)(b a))((a a) a)) REDUCED to normal form. ------ 152353/16478841. ------ 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. ------ 152354/16478867. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))((^z.z)(x x)))) 3. ==[ beta ]==> (^x.((x x)((^z.z)(x x)))) 4. ==[ alpha ]==> (^x.((x x)((^y.y)(x x)))) 5. ==[ beta ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 152355/16478868. ------ 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. ------ 152356/16488810. ------ 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. ------ 152357/16488816. ------ 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. ------ 152358/16488843. ------ 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 a)(^y.y)))((a b)((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b)((a a)(^x.x)))((a b)((a a)(^y.y)))) REDUCED to normal form. ------ 152359/16488870. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(b a))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 152360/16488951. ------ 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 ]==> ((((^z.z) a)((a a)(a a)))(^y.y)) 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. ------ 152361/16489026. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(x1 (^y1.y1))))) REDUCED to normal form. ------ 152362/16489068. ------ 1. ==[ start ]==> ((^a.(^b.a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((b (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((b (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((b (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 152363/16489311. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 152364/16490193. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((((a (^y.y))((a a)(a a)))((a (^y.y))((a a)(a a))))((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> ((((a (^x.x))((a a)(a a)))((a (^y.y))((a a)(a a))))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 152365/16490526. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 152366/16491300. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(a (^x1.(^y1.y1))))(((^z.z) a)(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(a (^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> ((((^y.y) a)(a (^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a (^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 152367/16491726. ------ 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)))) REDUCED to normal form. ------ 152368/16493076. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 152369/16493382. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 152370/16493994. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 152371/16496271. ------ 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)(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 152372/16497045. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.b))) REDUCED to normal form. ------ 152373/16497378. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.((y y) y))) REDUCED to normal form. ------ 152374/16497513. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(^x.(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 152375/16498260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152376/16498341. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 152377/16498422. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.a))) REDUCED to normal form. ------ 152378/16498545. ------ 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 (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 152379/16498620. ------ 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. ------ 152380/16498647. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^c.(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 152381/16498701. ------ 1. ==[ start ]==> ((((a a) a)(b a))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(b a))(^x.b)) REDUCED to normal form. ------ 152382/16498728. ------ 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. ------ 152383/16498755. ------ 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. ------ 152384/16498767. ------ 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. ------ 152385/16498794. ------ 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. ------ 152386/16498821. ------ 1. ==[ start ]==> ((a b)(((a a) a)(b a))) REDUCED to normal form. ------ 152387/16498875. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x) b))) 3. ==[ beta ]==> (((a a)(a a))((a (a a)) b)) REDUCED to normal form. ------ 152388/16498902. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 152389/16498920. ------ 1. ==[ start ]==> (((a a) b)(c (^d.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 152390/16498974. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(z (^x1.x1))))) REDUCED to normal form. ------ 152391/16498992. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)(^x1.x1))) 5. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 6. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152392/16499019. ------ 1. ==[ start ]==> ((a (^b.a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((b (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 152393/16499055. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152394/16499100. ------ 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 REDUCED to normal form. ------ 152395/16499127. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 152396/16499181. ------ 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)))) 7. ==[ beta ]==> (a ((a a)(^y.(a a)))) 8. ==[ alpha ]==> (a ((a a)(^x.(a a)))) REDUCED to normal form. ------ 152397/16499190. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 152398/16499208. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(^c.(^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. ------ 152399/16499217. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 152400/16499262. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 152401/16499352. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 152402/16499397. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.(^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) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 152403/16499487. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 152404/16499514. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 152405/16499676. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 152406/16500009. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 152407/16500036. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 152408/16500063. ------ 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))(b a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(b a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(b a))) 7. ==[ beta ]==> ((a a)((^y.y)(b a))) 8. ==[ alpha ]==> ((a a)((^x.x)(b a))) 9. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 152409/16500090. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 152410/16500117. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) b))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) b))) 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. ------ 152411/16500144. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 152412/16500234. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((a a)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 152413/16500270. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 152414/16500297. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 152415/16500315. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 152416/16500351. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((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. ------ 152417/16500378. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(a b))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 152418/16500396. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.(a a)))) 7. ==[ beta ]==> ((a a)((a b)(^y.(a a)))) 8. ==[ alpha ]==> ((a a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 152419/16500405. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 152420/16500459. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 152421/16500477. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 152422/16500648. ------ 1. ==[ start ]==> (((^a.b) a)((^b.b)(^b.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. ------ 152423/16500810. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 152424/16500864. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 152425/16500918. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^c.(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. ------ 152426/16501017. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 152427/16501062. ------ 1. ==[ start ]==> (((a a)(a b))((b a)(a (a a)))) REDUCED to normal form. ------ 152428/16501089. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 152429/16501116. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 152430/16501143. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 152431/16501170. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> (a (((a a) a)((^y.y)(a a)))) 8. ==[ alpha ]==> (a (((a a) a)((^x.x)(a a)))) 9. ==[ beta ]==> (a (((a a) a)(a a))) REDUCED to normal form. ------ 152432/16501197. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 152433/16501224. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(b a))) REDUCED to normal form. ------ 152434/16501251. ------ 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 (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. ------ 152435/16501341. ------ 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. ------ 152436/16501422. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((b a)(^x.(x x)))) REDUCED to normal form. ------ 152437/16501485. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 152438/16501503. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 152439/16501512. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 152440/16501566. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 152441/16501593. ------ 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))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(b a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(b a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(b a))) 7. ==[ beta ]==> (((^y.(y y))(b a))((^y.(y y))(b a))) 8. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(b a))) 9. ==[ beta ]==> (((b a)(b a))((^y.(y y))(b a))) 10. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(b a))) 11. ==[ beta ]==> (((b a)(b a))((b a)(b a))) REDUCED to normal form. ------ 152442/16501620. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 152443/16501638. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^b.b))) 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. ------ 152444/16501647. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 152445/16501674. ------ 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. ------ 152446/16501863. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.b)(^z.b))) 3. ==[ beta ]==> (b ((^y.b)(^z.b))) 4. ==[ alpha ]==> (b ((^x.b)(^y.b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 152447/16502097. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 152448/16502349. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^b.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 152449/16502403. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.b)(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. ------ 152450/16502772. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((b a) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((b a) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((b a) c)) 5. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 152451/16502916. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 152452/16503024. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^b.b))) 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. ------ 152453/16503042. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.b) 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. ------ 152454/16503123. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^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. ------ 152455/16503249. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(b a))((a (a a))(a a))) REDUCED to normal form. ------ 152456/16503276. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 152457/16503303. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(b a))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 152458/16503330. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 152459/16503528. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152460/16503690. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 152461/16503834. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 152462/16503942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 152463/16504140. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))(a b))) REDUCED to normal form. ------ 152464/16504167. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(b a))(a (a a))) REDUCED to normal form. ------ 152465/16504194. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 152466/16504221. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)(b a))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(b a))) REDUCED to normal form. ------ 152467/16504401. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152468/16504446. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^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. ------ 152469/16504608. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b) d)) 3. ==[ beta ]==> (b ((a b) d)) REDUCED to normal form. ------ 152470/16504725. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 152471/16504752. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))(^c.(^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. ------ 152472/16504851. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(a a)) c)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(a a)) c)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 152473/16505076. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 152474/16505607. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b) c)) 3. ==[ beta ]==> (b ((^z.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 152475/16505751. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 152476/16505796. ------ 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. ------ 152477/16505823. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((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. ------ 152478/16505832. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^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. ------ 152479/16505877. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((b a)(b a))(^y.(y y))) 8. ==[ alpha ]==> (((b a)(b a))(^x.(x x))) REDUCED to normal form. ------ 152480/16505940. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 152481/16505958. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 152482/16505967. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 152483/16506021. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 152484/16506075. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 152485/16506102. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 152486/16506129. ------ 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. ------ 152487/16506192. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (a b))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (a b))) REDUCED to normal form. ------ 152488/16506219. ------ 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)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 152489/16506246. ------ 1. ==[ start ]==> (((a (a a))(b a))((a b)(a a))) REDUCED to normal form. ------ 152490/16506273. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 152491/16506300. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((^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. ------ 152492/16506327. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 152493/16506354. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(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. ------ 152494/16506381. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 152495/16506606. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)(^x2.b))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x2.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152496/16506687. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^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. ------ 152497/16506966. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 152498/16506993. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.b))) REDUCED to normal form. ------ 152499/16507065. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> (b ((a (a a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 152500/16507074. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.(a a)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a b)(^x.(a a)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a b)(^x.(a a)))(a a)) REDUCED to normal form. ------ 152501/16507101. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 152502/16507173. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((a a) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152503/16507209. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 152504/16507236. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 152505/16507299. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 152506/16507326. ------ 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. ------ 152507/16507353. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a a))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a a))) 7. ==[ beta ]==> ((a b)((^y.y)(a a))) 8. ==[ alpha ]==> ((a b)((^x.x)(a a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 152508/16507380. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 152509/16507407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((b a)(((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((b a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((b a)(a ((^x.x) a))) 9. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 152510/16507434. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 152511/16507461. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a b)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 152512/16507767. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152513/16507848. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 152514/16507956. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152515/16508073. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 152516/16508118. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152517/16508172. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.(^z.z)) c)) 7. ==[ beta ]==> ((b b)((^y.(^z.z)) c)) 8. ==[ alpha ]==> ((b b)((^x.(^y.y)) c)) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 152518/16508181. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.a))) REDUCED to normal form. ------ 152519/16508208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(a (^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152520/16508253. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 152521/16508262. ------ 1. ==[ start ]==> (((a b)(^c.(^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. ------ 152522/16508289. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 152523/16508316. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b)) a) REDUCED to normal form. ------ 152524/16508370. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.a)) REDUCED to normal form. ------ 152525/16508397. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(c (^z.z))) 3. ==[ beta ]==> ((b (^y.(y y)))(c (^z.z))) 4. ==[ alpha ]==> ((b (^x.(x x)))(c (^y.y))) REDUCED to normal form. ------ 152526/16508424. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 152527/16508478. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^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 ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152528/16508496. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 152529/16508541. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(b (a a))) REDUCED to normal form. ------ 152530/16508568. ------ 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. ------ 152531/16508595. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))((a a)(a a))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(a a))) REDUCED to normal form. ------ 152532/16508622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(b a)) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(b a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b a)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(b a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 152533/16508649. ------ 1. ==[ start ]==> ((((a a) a)(b a))(a b)) REDUCED to normal form. ------ 152534/16508676. ------ 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. ------ 152535/16508703. ------ 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. ------ 152536/16518654. ------ 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. ------ 152537/16518678. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152538/16518759. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152539/16518993. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b)(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. ------ 152540/16519263. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(b (^x1.x1)))(((^y.(^z.z))(b (^x1.x1)))((^y.(^z.z))(b (^x1.x1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(((^x1.(^y1.y1))(b (^z1.z1)))((^x2.(^y2.y2))(b (^z2.z2))))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(b (^z1.z1)))((^x2.(^y2.y2))(b (^z2.z2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(b (^x1.x1)))((^y1.(^z1.z1))(b (^x2.x2))))) 7. ==[ beta ]==> (((^y.(^z.z))(b (^x1.x1)))((^y1.(^z1.z1))(b (^x2.x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1))(b (^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b (^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152541/16519614. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152542/16519707. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> (((^x.(x x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 7. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152543/16520085. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(b (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 152544/16520481. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 152545/16520559. ------ 1. ==[ start ]==> ((^a.(a b))((^b.b)(^b.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. ------ 152546/16520946. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(((a (^z.(^x1.x1)))((^y1.y1) a))((a (^z.(^x1.x1)))((^y1.y1) a)))) 4. ==[ alpha ]==> (^x.(((a (^y.(^z.z)))((^x1.x1) a))((a (^y1.(^z1.z1)))((^x2.x2) a)))) 5. ==[ beta ]==> (^x.(((a (^y.(^z.z))) a)((a (^y1.(^z1.z1)))((^x2.x2) a)))) 6. ==[ alpha ]==> (^x.(((a (^y.(^z.z))) a)((a (^x1.(^y1.y1)))((^z1.z1) a)))) 7. ==[ beta ]==> (^x.(((a (^y.(^z.z))) a)((a (^x1.(^y1.y1))) a))) REDUCED to normal form. ------ 152547/16521828. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(^c.(^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. ------ 152548/16522584. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ eta ]==> (b ((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 152549/16522947. ------ 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))(^x.b)) REDUCED to normal form. ------ 152550/16523133. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 152551/16523262. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 152552/16524024. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^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. ------ 152553/16524153. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 152554/16524339. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 152555/16524702. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(b y1))) 3. ==[ eta ]==> (((^x.(^y.y))(a (^z.(^x1.x1)))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 152556/16525206. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 152557/16525338. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))(((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2))))(((^z2.(^x3.x3))(^y3.(^z3.z3)))((^x4.(^y4.y4))(^z4.(^x5.x5))))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2))))(((^z2.(^x3.x3))(^y3.(^z3.z3)))((^x4.(^y4.y4))(^z4.(^x5.x5))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.y1))))(((^z1.(^x2.x2))(^y2.(^z2.z2)))((^x3.(^y3.y3))(^z3.(^x4.x4))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))(((^z1.(^x2.x2))(^y2.(^z2.z2)))((^x3.(^y3.y3))(^z3.(^x4.x4))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 9. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 13. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152558/16526124. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 152559/16526340. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(z z)))) REDUCED to normal form. ------ 152560/16526418. ------ 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 (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 152561/16527231. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 152562/16527393. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 152563/16527528. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 152564/16527579. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^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. ------ 152565/16527672. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152566/16528023. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 152567/16528194. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 152568/16528275. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 152569/16528398. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(b b)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(b b)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 152570/16528419. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^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. ------ 152571/16528473. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 152572/16528527. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 152573/16528554. ------ 1. ==[ start ]==> ((((a a) a)(b a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(b a))(^x.(a a))) REDUCED to normal form. ------ 152574/16528581. ------ 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. ------ 152575/16528608. ------ 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. ------ 152576/16528638. ------ 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. ------ 152577/16528665. ------ 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. ------ 152578/16528692. ------ 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. ------ 152579/16528719. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 152580/16528773. ------ 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)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152581/16528800. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 152582/16528827. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 152583/16528863. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 152584/16528917. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a 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. ------ 152585/16528953. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a 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. ------ 152586/16528998. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)(^y.a))) REDUCED to normal form. ------ 152587/16529025. ------ 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. ------ 152588/16529052. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 152589/16529079. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 152590/16529142. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 152591/16529169. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((^x1.x1) b)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b ((^x1.x1) b))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z) b))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 152592/16529196. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((a a)(a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 152593/16529223. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(b (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 152594/16529295. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((b (^y.y)) b)) 3. ==[ beta ]==> ((a b)((b (^y.y)) b)) 4. ==[ alpha ]==> ((a b)((b (^x.x)) b)) REDUCED to normal form. ------ 152595/16529466. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 152596/16529493. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(^c.(^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. ------ 152597/16529547. ------ 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.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 152598/16529574. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 152599/16529664. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.(^z1.z1)) a))) 5. ==[ beta ]==> ((^y.y)(a ((^y1.(^z1.z1)) 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. ------ 152600/16529718. ------ 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. ------ 152601/16529727. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(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. ------ 152602/16529745. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 152603/16529799. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((b a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 152604/16530042. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 152605/16530132. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (b (((^y.y) b)(^z.a))) 6. ==[ alpha ]==> (b (((^x.x) b)(^y.a))) 7. ==[ beta ]==> (b (b (^y.a))) 8. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 152606/16530159. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 152607/16530213. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) REDUCED to normal form. ------ 152608/16530240. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.b))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 152609/16530267. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(^y.(a a)))) REDUCED to normal form. ------ 152610/16530357. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 152611/16530384. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 152612/16530411. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 152613/16530438. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(b (^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)(b (^y.y))) 6. ==[ alpha ]==> (((a (a a)) a)(b (^x.x))) REDUCED to normal form. ------ 152614/16530510. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) b) c)) 3. ==[ beta ]==> (b (((^y.y) b) c)) 4. ==[ alpha ]==> (b (((^x.x) b) c)) 5. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 152615/16530519. ------ 1. ==[ start ]==> ((a (a b))((^b.b)(^b.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. ------ 152616/16530798. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b ((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b ((a a)(a a)))) REDUCED to normal form. ------ 152617/16530879. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> (b (b (a (^y.y)))) 6. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 152618/16530888. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.b) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y) c)) 3. ==[ beta ]==> (((a b)(^x.x)) c) REDUCED to normal form. ------ 152619/16530906. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 152620/16531122. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152621/16531149. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 152622/16531293. ------ 1. ==[ start ]==> (((a b) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((b a)(^x.(x x)))) REDUCED to normal form. ------ 152623/16531320. ------ 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. ------ 152624/16531347. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 152625/16531374. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(^z.b))) REDUCED to normal form. ------ 152626/16531428. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))(^c.(^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. ------ 152627/16531482. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 152628/16531509. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 152629/16531599. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.b)(^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. ------ 152630/16531626. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 152631/16531707. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 152632/16531734. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 152633/16531788. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 152634/16531959. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 152635/16531968. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 152636/16532040. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 152637/16532067. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b)((a 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. ------ 152638/16532121. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^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. ------ 152639/16532202. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 152640/16532265. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 152641/16532301. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 152642/16532355. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 152643/16532382. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 152644/16532409. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((a a) a))) 7. ==[ beta ]==> ((^y.y)((^z.b)((a a) a))) 8. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 9. ==[ beta ]==> ((^y.b)((a a) a)) 10. ==[ alpha ]==> ((^x.b)((a a) a)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 152645/16532463. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 152646/16532490. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 152647/16532517. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 152648/16532544. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 152649/16532904. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a ((^y.y) b))) 3. ==[ beta ]==> (((a b)(a b))(a ((^y.y) b))) 4. ==[ alpha ]==> (((a b)(a b))(a ((^x.x) b))) 5. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 152650/16532913. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 152651/16532985. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (b (((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 152652/16532994. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 152653/16533093. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 152654/16533192. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 152655/16533219. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (^z.z))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (^z.z))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.y))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 152656/16533246. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 152657/16533327. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 152658/16533849. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 152659/16533957. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) 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. ------ 152660/16533984. ------ 1. ==[ start ]==> ((a (^b.b))(((^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. ------ 152661/16534110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a b))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 152662/16534164. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 152663/16534191. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 152664/16534218. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 152665/16534263. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 152666/16534272. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 152667/16534299. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a b))) 5. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 152668/16534632. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b (b ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 152669/16534659. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 152670/16534713. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 152671/16534794. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^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. ------ 152672/16534902. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152673/16534938. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 152674/16534974. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 152675/16535001. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 152676/16535028. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (b a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 152677/16535055. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 152678/16535082. ------ 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 x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((a a) a))) 6. ==[ alpha ]==> (((^x.x)(a 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. ------ 152679/16535109. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 152680/16535136. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 152681/16535163. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 152682/16535244. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 152683/16535271. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 152684/16535298. ------ 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. ------ 152685/16535469. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(a (^z.z)))) 3. ==[ beta ]==> (b ((a b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 152686/16535577. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152687/16535694. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 152688/16535721. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((a a) a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((a a) a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(^x1.a))) REDUCED to normal form. ------ 152689/16535802. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 152690/16535829. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 152691/16535883. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 152692/16535937. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((a a) a) c)) REDUCED to normal form. ------ 152693/16536027. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 152694/16536054. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 152695/16536081. ------ 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.(a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(a a))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(a a))) REDUCED to normal form. ------ 152696/16536297. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(a a)))) REDUCED to normal form. ------ 152697/16536324. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.b)(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.b)(a a))) 5. ==[ beta ]==> ((b (a (^x.x))) b) REDUCED to normal form. ------ 152698/16536378. ------ 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. ------ 152699/16536657. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152700/16536693. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.b) a)) 3. ==[ beta ]==> ((b c)((^y.b) a)) 4. ==[ alpha ]==> ((b c)((^x.b) a)) 5. ==[ beta ]==> ((b c) b) REDUCED to normal form. ------ 152701/16536720. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^c.a) b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a) b)) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 152702/16536765. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((b (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 152703/16536792. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 152704/16536846. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)((a a) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)((a a) a))) REDUCED to normal form. ------ 152705/16536936. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 152706/16536963. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 152707/16537044. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((a a) a) a)) REDUCED to normal form. ------ 152708/16537071. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.a))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((b (^x.a))((^z.z) b)) 6. ==[ alpha ]==> ((b (^x.a))((^y.y) b)) 7. ==[ beta ]==> ((b (^x.a)) b) REDUCED to normal form. ------ 152709/16537161. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 152710/16537323. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 152711/16537350. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a (^y.a))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.a))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.a))) REDUCED to normal form. ------ 152712/16537377. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 152713/16537431. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 152714/16537458. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 152715/16537485. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 152716/16537539. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^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. ------ 152717/16537629. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 152718/16537710. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 152719/16537818. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(c c)) 3. ==[ beta ]==> ((^y.(^z.z))(c c)) 4. ==[ alpha ]==> ((^x.(^y.y))(c c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152720/16537953. ------ 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)(b ((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 152721/16537980. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a (a (a a)))) 3. ==[ beta ]==> ((^y.y)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 152722/16538034. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((b b)((a (^y.y))(a (^z.z)))) 8. ==[ alpha ]==> ((b b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 152723/16538043. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.(^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. ------ 152724/16538115. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 152725/16538124. ------ 1. ==[ start ]==> (((a b)(^c.(^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. ------ 152726/16538151. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 152727/16538178. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 152728/16538223. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(b (a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152729/16538232. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a) c)) REDUCED to normal form. ------ 152730/16538259. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.a) a)) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.a) a)) 5. ==[ beta ]==> ((b (^x.(x x))) a) REDUCED to normal form. ------ 152731/16538286. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 152732/16538340. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) 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)) REDUCED to normal form. ------ 152733/16538358. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(b b)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(b b)) REDUCED to normal form. ------ 152734/16538376. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((^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. ------ 152735/16538403. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(b (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 152736/16538430. ------ 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)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 152737/16538457. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(b (^y.y))) 3. ==[ beta ]==> (((a (a a)) b)(b (^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)(b (^x.x))) REDUCED to normal form. ------ 152738/16538484. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 152739/16538511. ------ 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. ------ 152740/16538538. ------ 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. ------ 152741/16538565. ------ 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. ------ 152742/16548777. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.(x1 (^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 (^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z (^x1.x1))))) 5. ==[ beta ]==> (^y.(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> (^x.(^y.(y (^z.z)))) REDUCED to normal form. ------ 152743/16548873. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.y)(((^z.z) b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 152744/16549182. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.(^z1.z1)) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152745/16549368. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^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. ------ 152746/16549596. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 152747/16550259. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 152748/16550439. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) b) c)) 3. ==[ beta ]==> ((((^y.y) b) c) b) 4. ==[ alpha ]==> ((((^x.x) b) c) b) 5. ==[ beta ]==> ((b c) b) REDUCED to normal form. ------ 152749/16550757. ------ 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. ------ 152750/16552464. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 152751/16552827. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 152752/16552836. ------ 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))(^y.b)) REDUCED to normal form. ------ 152753/16554219. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 152754/16554591. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(b y1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 152755/16556298. ------ 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 (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 152756/16556616. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(y b))) 3. ==[ beta ]==> ((b c)(^y.(y b))) 4. ==[ alpha ]==> ((b c)(^x.(x b))) REDUCED to normal form. ------ 152757/16556958. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152758/16557459. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (a a)) b)) 3. ==[ eta ]==> ((^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. ------ 152759/16557552. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 152760/16557903. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 152761/16558182. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) b)(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> ((b (^y.(y y)))(^z.z)) 6. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 152762/16558278. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 152763/16558407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(^y1.y1)) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 152764/16558434. ------ 1. ==[ start ]==> ((((a a) a)(b a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 152765/16558461. ------ 1. ==[ start ]==> (((a b)((a a)(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a b)((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 152766/16558488. ------ 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. ------ 152767/16558536. ------ 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. ------ 152768/16558563. ------ 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. ------ 152769/16558590. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a) a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(b a))) REDUCED to normal form. ------ 152770/16558617. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((^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. ------ 152771/16558644. ------ 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 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. ------ 152772/16558671. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)((a a)(a a)))) 3. ==[ beta ]==> (((a a) b)(a ((a a)(a a)))) REDUCED to normal form. ------ 152773/16558698. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 152774/16558725. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.(^x1.x1)) a))) 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. ------ 152775/16558743. ------ 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 (^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. ------ 152776/16558788. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 152777/16558815. ------ 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. ------ 152778/16558842. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(b (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 152779/16558851. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b)(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. ------ 152780/16558878. ------ 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.(^z1.(^x2.x2)))((^y2.y2)(^z2.z2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))((^y2.y2)(^z2.z2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152781/16558959. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152782/16559031. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 152783/16559058. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 152784/16559121. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> (((^y.(^z.z))(b (^x1.x1)))((^y.(^z.z))(b (^x1.x1)))) 6. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1))(b (^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b (^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152785/16559148. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.(^z1.z1)) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152786/16559256. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(^y1.(y1 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. ------ 152787/16559337. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^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. ------ 152788/16559472. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152789/16559499. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 152790/16559562. ------ 1. ==[ start ]==> (((a (a a)) b)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (a a)) b)(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.x))) REDUCED to normal form. ------ 152791/16559589. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y) a)((b (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((b (^y.y))(a a))) 5. ==[ beta ]==> (a ((b (^y.y))(a a))) 6. ==[ alpha ]==> (a ((b (^x.x))(a a))) REDUCED to normal form. ------ 152792/16559616. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a))(a (^z.z)))) REDUCED to normal form. ------ 152793/16559643. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b a)) REDUCED to normal form. ------ 152794/16559670. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 152795/16559697. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 152796/16559724. ------ 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. ------ 152797/16560066. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 152798/16560147. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a b))) 7. ==[ beta ]==> ((a a)((^y.(a a))(a b))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 152799/16560228. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 152800/16560246. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 152801/16560273. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 152802/16560354. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b (^z.z)) a)) 5. ==[ beta ]==> ((a (^y.y))((b (^z.z)) a)) 6. ==[ alpha ]==> ((a (^x.x))((b (^y.y)) a)) REDUCED to normal form. ------ 152803/16560381. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(a a)) b)) REDUCED to normal form. ------ 152804/16560408. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a (a b))(((^x.x) b) c)) 3. ==[ beta ]==> ((a (a b))(b c)) REDUCED to normal form. ------ 152805/16560417. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.b)(^b.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. ------ 152806/16560579. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 152807/16560633. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152808/16560669. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c ((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c ((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(c b)) REDUCED to normal form. ------ 152809/16560696. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b ((a a)(a a)))) REDUCED to normal form. ------ 152810/16560723. ------ 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. ------ 152811/16560750. ------ 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. ------ 152812/16560777. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 152813/16560966. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b ((^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. ------ 152814/16561038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(c (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(c (^y.y))) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 152815/16561173. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 152816/16561254. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152817/16561389. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 152818/16561461. ------ 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. ------ 152819/16561488. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) b) b)) 3. ==[ beta ]==> (((a (^x.x))(a b))(b b)) REDUCED to normal form. ------ 152820/16561857. ------ 1. ==[ start ]==> (((a b) c)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 152821/16561884. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a) b)((b a)((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)((b a)((^x.x) a))) 5. ==[ beta ]==> (((a a) b)((b a) a)) REDUCED to normal form. ------ 152822/16561911. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 152823/16561965. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)((a a) a))) REDUCED to normal form. ------ 152824/16561992. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)(a b))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)(a b))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(a b))) REDUCED to normal form. ------ 152825/16562046. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a)(^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152826/16562073. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (b a))) REDUCED to normal form. ------ 152827/16562091. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 152828/16562100. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 152829/16562127. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 152830/16562190. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 152831/16562217. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((b a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((b a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.a))) REDUCED to normal form. ------ 152832/16562244. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 152833/16562271. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(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. ------ 152834/16562298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 7. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 8. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 9. ==[ beta ]==> ((a b)(^y.a)) 10. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 152835/16562325. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a) a)(^x.b))) REDUCED to normal form. ------ 152836/16562352. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a b) a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (((a b) a)(^y.(a a))) 8. ==[ alpha ]==> (((a b) a)(^x.(a a))) REDUCED to normal form. ------ 152837/16562433. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 152838/16562523. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 152839/16562604. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 152840/16562712. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 152841/16562775. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 152842/16562793. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^b.b))) 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. ------ 152843/16562802. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a b)) REDUCED to normal form. ------ 152844/16562856. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 152845/16562883. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 152846/16562910. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 152847/16562937. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(^x1.x1))) REDUCED to normal form. ------ 152848/16563135. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 152849/16563162. ------ 1. ==[ start ]==> (((a b)(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 152850/16563189. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 152851/16563216. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 152852/16563360. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^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) REDUCED to normal form. ------ 152853/16563441. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 152854/16563549. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152855/16563603. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 152856/16563657. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 152857/16563666. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 152858/16563693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (b a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (b a))) 5. ==[ beta ]==> ((^y.b)(b (b a))) 6. ==[ alpha ]==> ((^x.b)(b (b a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 152859/16563747. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 152860/16563774. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 152861/16563801. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 152862/16563855. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 152863/16564026. ------ 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. ------ 152864/16564053. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 152865/16564080. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a 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. ------ 152866/16564107. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.(y y)))) REDUCED to normal form. ------ 152867/16564188. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))(^y.b))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.b))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.b))) REDUCED to normal form. ------ 152868/16564197. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^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. ------ 152869/16564224. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.a)((^x2.x2)(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. ------ 152870/16564359. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 152871/16564467. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(z1 z1))(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152872/16564503. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((b a)(c ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b a)(c ((^x.x)(a a)))) 5. ==[ beta ]==> ((b a)(c (a a))) REDUCED to normal form. ------ 152873/16564521. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))(^c.(^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. ------ 152874/16564530. ------ 1. ==[ start ]==> (((a a)(^b.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 152875/16564557. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (b a))) REDUCED to normal form. ------ 152876/16564638. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((a b)((^z.z) a))) 6. ==[ alpha ]==> ((^x.(a a))((a b)((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152877/16564665. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 152878/16564692. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 8. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 152879/16564719. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 152880/16564746. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (a b))) REDUCED to normal form. ------ 152881/16564791. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152882/16564800. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)((a a)(^y1.y1)))) REDUCED to normal form. ------ 152883/16564863. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 152884/16564890. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a b)(^x1.a))) REDUCED to normal form. ------ 152885/16564917. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((a (b a))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (b a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 152886/16564944. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 152887/16564998. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a b))(a (^y.b))) 4. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.b))) REDUCED to normal form. ------ 152888/16565025. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 152889/16565079. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 152890/16565133. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a b) c)) REDUCED to normal form. ------ 152891/16565223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 152892/16565502. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) b) 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. ------ 152893/16565529. ------ 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. ------ 152894/16565574. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 152895/16565628. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 152896/16565709. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 152897/16565817. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152898/16565997. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(b a))(a a)) REDUCED to normal form. ------ 152899/16566024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b) b)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 152900/16566213. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> ((b (a (^y.y)))((a b)(^z.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 152901/16566240. ------ 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. ------ 152902/16566267. ------ 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. ------ 152903/16566357. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152904/16566438. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 152905/16566582. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (a b))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (a b))) 3. ==[ beta ]==> ((b c)(a (a b))) REDUCED to normal form. ------ 152906/16566609. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((a a) a)(a a))) REDUCED to normal form. ------ 152907/16566717. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((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 (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 152908/16566735. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b (^x1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (^y1.a))) REDUCED to normal form. ------ 152909/16566744. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)((a a) a))) REDUCED to normal form. ------ 152910/16566816. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(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. ------ 152911/16566924. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152912/16567104. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a) a)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) a)) 5. ==[ beta ]==> ((a b)((^y.a) a)) 6. ==[ alpha ]==> ((a b)((^x.a) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 152913/16567131. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 152914/16567158. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(z z)) c)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(z z)) c)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y)) c)) 5. ==[ beta ]==> ((b a)((^y.(y y)) c)) 6. ==[ alpha ]==> ((b a)((^x.(x x)) c)) 7. ==[ beta ]==> ((b a)(c c)) REDUCED to normal form. ------ 152915/16567266. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 152916/16567320. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.a))) REDUCED to normal form. ------ 152917/16567347. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b a)((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 152918/16567374. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 152919/16567428. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (a a)) b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((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. ------ 152920/16567518. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152921/16567599. ------ 1. ==[ start ]==> (((^a.b)(^c.(^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. ------ 152922/16567707. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152923/16567842. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 152924/16567869. ------ 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)((^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. ------ 152925/16567923. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(c (^y.(^z.z)))) 7. ==[ beta ]==> ((b b)(c (^y.(^z.z)))) 8. ==[ alpha ]==> ((b b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 152926/16567932. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 152927/16567959. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a a)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1) a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 152928/16568004. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((a 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. ------ 152929/16568013. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(c b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c b)) REDUCED to normal form. ------ 152930/16568040. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(b c)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(b c)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(b c)) REDUCED to normal form. ------ 152931/16568112. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 152932/16568121. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (a (^y1.y1)))) REDUCED to normal form. ------ 152933/16568148. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((b (^y.(y y)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.(x x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((b (^x.(x x)))(a a)) REDUCED to normal form. ------ 152934/16568175. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 152935/16568247. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^x.(x (^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.z)) REDUCED to normal form. ------ 152936/16568265. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((a a)(^z.(^x1.x1)))) 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. ------ 152937/16568292. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 152938/16568319. ------ 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. ------ 152939/16568346. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a)) b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a (a a)) b)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 152940/16568373. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.(^x1.x1))))((^y1.y1) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))((^y1.y1) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1) b)) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) b)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 7. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 152941/16568400. ------ 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. ------ 152942/16568427. ------ 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. ------ 152943/16568454. ------ 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)(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. ------ 152944/16568480. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(a b))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(x b))) REDUCED to normal form. ------ 152945/16568481. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(a b))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(a b))) REDUCED to normal form. ------ 152946/16578450. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a b)) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(a b)) a) REDUCED to normal form. ------ 152947/16578456. ------ 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. ------ 152948/16578483. ------ 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 a))((^z.z)(a a)))(((^y.y)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 152949/16578510. ------ 1. ==[ start ]==> ((^a.b)((a b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a b)((a a)(^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 152950/16578591. ------ 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 ]==> (((a (a a))((^z.z) b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.y)) 5. ==[ beta ]==> (((a (a a)) b)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 152951/16578693. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(x1 (^y1.y1))))) REDUCED to normal form. ------ 152952/16578708. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) a)(^y1.y1))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) a)(^x1.x1))) 5. ==[ beta ]==> (^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. ------ 152953/16579833. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((((^y.y) a)((^z.z) b))(((^y.y) a)((^z.z) b)))(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> (((((^x.x) a)((^y.y) b))(((^z.z) a)((^x1.x1) b)))(((^y1.y1) a)((^z1.z1) b))) 5. ==[ beta ]==> (((a ((^y.y) b))(((^z.z) a)((^x1.x1) b)))(((^y1.y1) a)((^z1.z1) b))) 6. ==[ alpha ]==> (((a ((^x.x) b))(((^y.y) a)((^z.z) b)))(((^x1.x1) a)((^y1.y1) b))) 7. ==[ beta ]==> (((a b)(((^y.y) a)((^z.z) b)))(((^x1.x1) a)((^y1.y1) b))) 8. ==[ alpha ]==> (((a b)(((^x.x) a)((^y.y) b)))(((^z.z) a)((^x1.x1) b))) 9. ==[ beta ]==> (((a b)(a ((^y.y) b)))(((^z.z) a)((^x1.x1) b))) 10. ==[ alpha ]==> (((a b)(a ((^x.x) b)))(((^y.y) a)((^z.z) b))) 11. ==[ beta ]==> (((a b)(a b))(((^y.y) a)((^z.z) b))) 12. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)((^y.y) b))) 13. ==[ beta ]==> (((a b)(a b))(a ((^y.y) b))) 14. ==[ alpha ]==> (((a b)(a b))(a ((^x.x) b))) 15. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 152954/16580733. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z) c)) 3. ==[ beta ]==> (^y.(((^z.z) c)((^z.z) c))) 4. ==[ alpha ]==> (^x.(((^y.y) c)((^z.z) c))) 5. ==[ beta ]==> (^x.(c ((^z.z) c))) 6. ==[ alpha ]==> (^x.(c ((^y.y) c))) 7. ==[ beta ]==> (^x.(c c)) REDUCED to normal form. ------ 152955/16580940. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.y)(((a (a a))(b a))((a (a a))(b a)))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))(b a))((a (a a))(b a)))) 5. ==[ beta ]==> (((a (a a))(b a))((a (a a))(b a))) REDUCED to normal form. ------ 152956/16582743. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 152957/16583940. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(b a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(b a))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(b a))) 5. ==[ beta ]==> ((a b)(^y.(b a))) 6. ==[ alpha ]==> ((a b)(^x.(b a))) REDUCED to normal form. ------ 152958/16585713. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 152959/16585938. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a (a a))(b a))(^x.(x x))) REDUCED to normal form. ------ 152960/16586523. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.y))) 3. ==[ beta ]==> ((b c)(^y.(^z.y))) 4. ==[ alpha ]==> ((b c)(^x.(^y.x))) REDUCED to normal form. ------ 152961/16586874. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.((a a) a))) REDUCED to normal form. ------ 152962/16587045. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.((z z) z))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.((z z) z))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.((y y) y))) 5. ==[ beta ]==> ((a b)(^y.((y y) y))) 6. ==[ alpha ]==> ((a b)(^x.((x x) x))) REDUCED to normal form. ------ 152963/16587180. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 152964/16587810. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.d)) 3. ==[ beta ]==> ((^y.y)(^x1.d)) 4. ==[ alpha ]==> ((^x.x)(^y.d)) 5. ==[ beta ]==> (^y.d) 6. ==[ alpha ]==> (^x.d) REDUCED to normal form. ------ 152965/16588008. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 152966/16588089. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 152967/16588170. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^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. ------ 152968/16588185. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 152969/16588233. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.c)) REDUCED to normal form. ------ 152970/16588287. ------ 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)) b)(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 152971/16588368. ------ 1. ==[ start ]==> (((a b)((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a b)((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 152972/16588395. ------ 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))) 5. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 152973/16588422. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a b))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 152974/16588434. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a b))) REDUCED to normal form. ------ 152975/16588461. ------ 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. ------ 152976/16588488. ------ 1. ==[ start ]==> ((a b)((a b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((a b)((a a)(^x.x)))) REDUCED to normal form. ------ 152977/16588542. ------ 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))((^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. ------ 152978/16588569. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))((^y.y) b))) 3. ==[ beta ]==> ((a (a (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 152979/16588668. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(z (^x1.x1))))) REDUCED to normal form. ------ 152980/16588686. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 152981/16588767. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b)(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 152982/16588794. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 152983/16588803. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 152984/16588848. ------ 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. ------ 152985/16588857. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^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. ------ 152986/16588875. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(a a))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 152987/16588884. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 152988/16588911. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 152989/16589019. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)((a a)(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 152990/16589118. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b (^z.z)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((b (^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z)) b)) 5. ==[ beta ]==> ((^y.y)((b (^z.z)) b)) 6. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 7. ==[ beta ]==> ((b (^y.y)) b) 8. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 152991/16589181. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z z))) REDUCED to normal form. ------ 152992/16589208. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 152993/16589343. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(^d.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. ------ 152994/16589676. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 152995/16589703. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 152996/16589730. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(((a a) a)((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 152997/16589757. ------ 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))(b a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)(b a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(b a))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(b a)) REDUCED to normal form. ------ 152998/16589784. ------ 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. ------ 152999/16589811. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> ((a ((a a) a))(a ((^y.y) b))) 4. ==[ alpha ]==> ((a ((a a) a))(a ((^x.x) b))) 5. ==[ beta ]==> ((a ((a a) a))(a b)) REDUCED to normal form. ------ 153000/16589901. ------ 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))) REDUCED to normal form. ------ 153001/16589937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 153002/16589964. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 153003/16589982. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 153004/16590009. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((b a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 153005/16590063. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.b))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.b))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.b))) 9. ==[ beta ]==> ((a a)((a a)(^y.b))) 10. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 153006/16590072. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 153007/16590099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 153008/16590315. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 153009/16590333. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) b) c)) 3. ==[ beta ]==> ((^y.b)(((^z.z) b) c)) 4. ==[ alpha ]==> ((^x.b)(((^y.y) b) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 153010/16590477. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 153011/16590504. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 153012/16590585. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(^b.b))) 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. ------ 153013/16590684. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a)) b)) 3. ==[ beta ]==> (b ((^y.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 153014/16590711. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.b) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) c)) 3. ==[ beta ]==> ((a (^x.(a a))) c) REDUCED to normal form. ------ 153015/16590729. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a b))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 153016/16590756. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a)(a (a a)))) REDUCED to normal form. ------ 153017/16590783. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y))(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 153018/16590810. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 153019/16590837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(a b))) 5. ==[ beta ]==> (((^y.y) a)((a b)(a b))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(a b))) 7. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 153020/16590864. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 153021/16590891. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a b)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a b)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 153022/16590918. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(b a))) 3. ==[ beta ]==> ((a (a a))((a (a a))(b a))) REDUCED to normal form. ------ 153023/16591089. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (b ((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 153024/16591098. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 153025/16591143. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 153026/16591152. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^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. ------ 153027/16591170. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 153028/16591179. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 153029/16591224. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(a a)))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(a a)))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 11. ==[ beta ]==> (((a a) a)(^y.(a a))) 12. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 153030/16591233. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 153031/16591260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y.(^z.z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 153032/16591287. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((b a)(b a))) REDUCED to normal form. ------ 153033/16591305. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 153034/16591314. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 153035/16591341. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 153036/16591530. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 153037/16591764. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.b) 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. ------ 153038/16592016. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 153039/16592043. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (^b.b))) 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. ------ 153040/16592439. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> (b ((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 153041/16592583. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 153042/16592691. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 153043/16592718. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(^b.b))) 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. ------ 153044/16592916. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(a b))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(a b))) 5. ==[ beta ]==> (((a a)(b a))(a b)) REDUCED to normal form. ------ 153045/16592943. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 153046/16592970. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (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. ------ 153047/16592997. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(b a))) REDUCED to normal form. ------ 153048/16593024. ------ 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. ------ 153049/16593177. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 153050/16593276. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 153051/16593357. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (b ((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 153052/16593474. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 153053/16593582. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 153054/16593654. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 153055/16593807. ------ 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. ------ 153056/16593834. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(a b))) REDUCED to normal form. ------ 153057/16593861. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 153058/16593888. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))((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)))) REDUCED to normal form. ------ 153059/16593915. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a 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. ------ 153060/16594068. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 153061/16594113. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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. ------ 153062/16594140. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)(^x2.(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. ------ 153063/16594275. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (b (((^z.z)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 153064/16594392. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 153065/16594419. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 153066/16594446. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 153067/16594716. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 153068/16595274. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a)) b)) 3. ==[ beta ]==> (b ((^z.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 153069/16595418. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (^y.b))) 3. ==[ beta ]==> ((b b)(c (^y.b))) 4. ==[ alpha ]==> ((b b)(c (^x.b))) REDUCED to normal form. ------ 153070/16595445. ------ 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. ------ 153071/16595490. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(a a))(^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. ------ 153072/16595499. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 153073/16595526. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 153074/16595544. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((b a)(b a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((b a)(b a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 153075/16595607. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 10. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 153076/16595625. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 153077/16595634. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 153078/16595688. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 153079/16595733. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 153080/16595742. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) b) REDUCED to normal form. ------ 153081/16595769. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 153082/16595796. ------ 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. ------ 153083/16595859. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c ((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(c ((a a) a))) REDUCED to normal form. ------ 153084/16595886. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (a b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (a b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (a b))) REDUCED to normal form. ------ 153085/16595913. ------ 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. ------ 153086/16595940. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((a b)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 153087/16595967. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 153088/16595994. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))((^y.y) a)) 6. ==[ alpha ]==> (((a b)(a b))((^x.x) a)) 7. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 153089/16596021. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 153090/16596048. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 153091/16596102. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(a b))) REDUCED to normal form. ------ 153092/16596354. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 153093/16596498. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(^z.b))) 3. ==[ beta ]==> ((b c)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((b c)((^x.x)(^y.b))) 5. ==[ beta ]==> ((b c)(^y.b)) 6. ==[ alpha ]==> ((b c)(^x.b)) REDUCED to normal form. ------ 153094/16596570. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 153095/16596633. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 153096/16596660. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 153097/16596732. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to n