MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

Begin(a(x0)) → Wait(Right1(x0))
Begin(a(a(x0))) → Wait(Right2(x0))
Begin(a(x0)) → Wait(Right3(x0))
Begin(b(a(x0))) → Wait(Right4(x0))
Begin(a(x0)) → Wait(Right5(x0))
Begin(a(a(a(x0)))) → Wait(Right6(x0))
Begin(a(a(x0))) → Wait(Right7(x0))
Begin(a(x0)) → Wait(Right8(x0))
Begin(a(b(a(x0)))) → Wait(Right9(x0))
Begin(b(a(x0))) → Wait(Right10(x0))
Begin(a(x0)) → Wait(Right11(x0))
Begin(b(a(a(x0)))) → Wait(Right12(x0))
Begin(a(a(x0))) → Wait(Right13(x0))
Begin(a(x0)) → Wait(Right14(x0))
Begin(b(b(a(x0)))) → Wait(Right15(x0))
Begin(b(a(x0))) → Wait(Right16(x0))
Begin(a(x0)) → Wait(Right17(x0))
Begin(a(a(a(a(x0))))) → Wait(Right18(x0))
Begin(a(a(a(x0)))) → Wait(Right19(x0))
Begin(a(a(x0))) → Wait(Right20(x0))
Begin(a(x0)) → Wait(Right21(x0))
Begin(a(a(b(a(x0))))) → Wait(Right22(x0))
Begin(a(b(a(x0)))) → Wait(Right23(x0))
Begin(b(a(x0))) → Wait(Right24(x0))
Begin(a(x0)) → Wait(Right25(x0))
Begin(a(b(a(a(x0))))) → Wait(Right26(x0))
Begin(b(a(a(x0)))) → Wait(Right27(x0))
Begin(a(a(x0))) → Wait(Right28(x0))
Begin(a(x0)) → Wait(Right29(x0))
Begin(a(b(b(a(x0))))) → Wait(Right30(x0))
Begin(b(b(a(x0)))) → Wait(Right31(x0))
Begin(b(a(x0))) → Wait(Right32(x0))
Begin(a(x0)) → Wait(Right33(x0))
Begin(b(a(a(a(x0))))) → Wait(Right34(x0))
Begin(a(a(a(x0)))) → Wait(Right35(x0))
Begin(a(a(x0))) → Wait(Right36(x0))
Begin(a(x0)) → Wait(Right37(x0))
Begin(b(a(b(a(x0))))) → Wait(Right38(x0))
Begin(a(b(a(x0)))) → Wait(Right39(x0))
Begin(b(a(x0))) → Wait(Right40(x0))
Begin(a(x0)) → Wait(Right41(x0))
Begin(b(b(a(a(x0))))) → Wait(Right42(x0))
Begin(b(a(a(x0)))) → Wait(Right43(x0))
Begin(a(a(x0))) → Wait(Right44(x0))
Begin(a(x0)) → Wait(Right45(x0))
Begin(b(b(b(a(x0))))) → Wait(Right46(x0))
Begin(b(b(a(x0)))) → Wait(Right47(x0))
Begin(b(a(x0))) → Wait(Right48(x0))
Begin(a(x0)) → Wait(Right49(x0))
Right1(a(End(x0))) → Left(b(End(x0)))
Right2(a(End(x0))) → Left(a(b(a(End(x0)))))
Right3(a(a(End(x0)))) → Left(a(b(a(End(x0)))))
Right4(a(End(x0))) → Left(b(b(b(End(x0)))))
Right5(a(b(End(x0)))) → Left(b(b(b(End(x0)))))
Right6(a(End(x0))) → Left(a(a(b(a(a(End(x0)))))))
Right7(a(a(End(x0)))) → Left(a(a(b(a(a(End(x0)))))))
Right8(a(a(a(End(x0))))) → Left(a(a(b(a(a(End(x0)))))))
Right9(a(End(x0))) → Left(a(b(b(a(b(End(x0)))))))
Right10(a(a(End(x0)))) → Left(a(b(b(a(b(End(x0)))))))
Right11(a(a(b(End(x0))))) → Left(a(b(b(a(b(End(x0)))))))
Right12(a(End(x0))) → Left(b(a(b(b(a(End(x0)))))))
Right13(a(b(End(x0)))) → Left(b(a(b(b(a(End(x0)))))))
Right14(a(b(a(End(x0))))) → Left(b(a(b(b(a(End(x0)))))))
Right15(a(End(x0))) → Left(b(b(b(b(b(End(x0)))))))
Right16(a(b(End(x0)))) → Left(b(b(b(b(b(End(x0)))))))
Right17(a(b(b(End(x0))))) → Left(b(b(b(b(b(End(x0)))))))
Right18(a(End(x0))) → Left(a(a(a(b(a(a(a(End(x0)))))))))
Right19(a(a(End(x0)))) → Left(a(a(a(b(a(a(a(End(x0)))))))))
Right20(a(a(a(End(x0))))) → Left(a(a(a(b(a(a(a(End(x0)))))))))
Right21(a(a(a(a(End(x0)))))) → Left(a(a(a(b(a(a(a(End(x0)))))))))
Right22(a(End(x0))) → Left(a(a(b(b(a(a(b(End(x0)))))))))
Right23(a(a(End(x0)))) → Left(a(a(b(b(a(a(b(End(x0)))))))))
Right24(a(a(a(End(x0))))) → Left(a(a(b(b(a(a(b(End(x0)))))))))
Right25(a(a(a(b(End(x0)))))) → Left(a(a(b(b(a(a(b(End(x0)))))))))
Right26(a(End(x0))) → Left(a(b(a(b(a(b(a(End(x0)))))))))
Right27(a(a(End(x0)))) → Left(a(b(a(b(a(b(a(End(x0)))))))))
Right28(a(a(b(End(x0))))) → Left(a(b(a(b(a(b(a(End(x0)))))))))
Right29(a(a(b(a(End(x0)))))) → Left(a(b(a(b(a(b(a(End(x0)))))))))
Right30(a(End(x0))) → Left(a(b(b(b(a(b(b(End(x0)))))))))
Right31(a(a(End(x0)))) → Left(a(b(b(b(a(b(b(End(x0)))))))))
Right32(a(a(b(End(x0))))) → Left(a(b(b(b(a(b(b(End(x0)))))))))
Right33(a(a(b(b(End(x0)))))) → Left(a(b(b(b(a(b(b(End(x0)))))))))
Right34(a(End(x0))) → Left(b(a(a(b(b(a(a(End(x0)))))))))
Right35(a(b(End(x0)))) → Left(b(a(a(b(b(a(a(End(x0)))))))))
Right36(a(b(a(End(x0))))) → Left(b(a(a(b(b(a(a(End(x0)))))))))
Right37(a(b(a(a(End(x0)))))) → Left(b(a(a(b(b(a(a(End(x0)))))))))
Right38(a(End(x0))) → Left(b(a(b(b(b(a(b(End(x0)))))))))
Right39(a(b(End(x0)))) → Left(b(a(b(b(b(a(b(End(x0)))))))))
Right40(a(b(a(End(x0))))) → Left(b(a(b(b(b(a(b(End(x0)))))))))
Right41(a(b(a(b(End(x0)))))) → Left(b(a(b(b(b(a(b(End(x0)))))))))
Right42(a(End(x0))) → Left(b(b(a(b(b(b(a(End(x0)))))))))
Right43(a(b(End(x0)))) → Left(b(b(a(b(b(b(a(End(x0)))))))))
Right44(a(b(b(End(x0))))) → Left(b(b(a(b(b(b(a(End(x0)))))))))
Right45(a(b(b(a(End(x0)))))) → Left(b(b(a(b(b(b(a(End(x0)))))))))
Right46(a(End(x0))) → Left(b(b(b(b(b(b(b(End(x0)))))))))
Right47(a(b(End(x0)))) → Left(b(b(b(b(b(b(b(End(x0)))))))))
Right48(a(b(b(End(x0))))) → Left(b(b(b(b(b(b(b(End(x0)))))))))
Right49(a(b(b(b(End(x0)))))) → Left(b(b(b(b(b(b(b(End(x0)))))))))
Right1(a(x0)) → Aa(Right1(x0))
Right2(a(x0)) → Aa(Right2(x0))
Right3(a(x0)) → Aa(Right3(x0))
Right4(a(x0)) → Aa(Right4(x0))
Right5(a(x0)) → Aa(Right5(x0))
Right6(a(x0)) → Aa(Right6(x0))
Right7(a(x0)) → Aa(Right7(x0))
Right8(a(x0)) → Aa(Right8(x0))
Right9(a(x0)) → Aa(Right9(x0))
Right10(a(x0)) → Aa(Right10(x0))
Right11(a(x0)) → Aa(Right11(x0))
Right12(a(x0)) → Aa(Right12(x0))
Right13(a(x0)) → Aa(Right13(x0))
Right14(a(x0)) → Aa(Right14(x0))
Right15(a(x0)) → Aa(Right15(x0))
Right16(a(x0)) → Aa(Right16(x0))
Right17(a(x0)) → Aa(Right17(x0))
Right18(a(x0)) → Aa(Right18(x0))
Right19(a(x0)) → Aa(Right19(x0))
Right20(a(x0)) → Aa(Right20(x0))
Right21(a(x0)) → Aa(Right21(x0))
Right22(a(x0)) → Aa(Right22(x0))
Right23(a(x0)) → Aa(Right23(x0))
Right24(a(x0)) → Aa(Right24(x0))
Right25(a(x0)) → Aa(Right25(x0))
Right26(a(x0)) → Aa(Right26(x0))
Right27(a(x0)) → Aa(Right27(x0))
Right28(a(x0)) → Aa(Right28(x0))
Right29(a(x0)) → Aa(Right29(x0))
Right30(a(x0)) → Aa(Right30(x0))
Right31(a(x0)) → Aa(Right31(x0))
Right32(a(x0)) → Aa(Right32(x0))
Right33(a(x0)) → Aa(Right33(x0))
Right34(a(x0)) → Aa(Right34(x0))
Right35(a(x0)) → Aa(Right35(x0))
Right36(a(x0)) → Aa(Right36(x0))
Right37(a(x0)) → Aa(Right37(x0))
Right38(a(x0)) → Aa(Right38(x0))
Right39(a(x0)) → Aa(Right39(x0))
Right40(a(x0)) → Aa(Right40(x0))
Right41(a(x0)) → Aa(Right41(x0))
Right42(a(x0)) → Aa(Right42(x0))
Right43(a(x0)) → Aa(Right43(x0))
Right44(a(x0)) → Aa(Right44(x0))
Right45(a(x0)) → Aa(Right45(x0))
Right46(a(x0)) → Aa(Right46(x0))
Right47(a(x0)) → Aa(Right47(x0))
Right48(a(x0)) → Aa(Right48(x0))
Right49(a(x0)) → Aa(Right49(x0))
Right1(b(x0)) → Ab(Right1(x0))
Right2(b(x0)) → Ab(Right2(x0))
Right3(b(x0)) → Ab(Right3(x0))
Right4(b(x0)) → Ab(Right4(x0))
Right5(b(x0)) → Ab(Right5(x0))
Right6(b(x0)) → Ab(Right6(x0))
Right7(b(x0)) → Ab(Right7(x0))
Right8(b(x0)) → Ab(Right8(x0))
Right9(b(x0)) → Ab(Right9(x0))
Right10(b(x0)) → Ab(Right10(x0))
Right11(b(x0)) → Ab(Right11(x0))
Right12(b(x0)) → Ab(Right12(x0))
Right13(b(x0)) → Ab(Right13(x0))
Right14(b(x0)) → Ab(Right14(x0))
Right15(b(x0)) → Ab(Right15(x0))
Right16(b(x0)) → Ab(Right16(x0))
Right17(b(x0)) → Ab(Right17(x0))
Right18(b(x0)) → Ab(Right18(x0))
Right19(b(x0)) → Ab(Right19(x0))
Right20(b(x0)) → Ab(Right20(x0))
Right21(b(x0)) → Ab(Right21(x0))
Right22(b(x0)) → Ab(Right22(x0))
Right23(b(x0)) → Ab(Right23(x0))
Right24(b(x0)) → Ab(Right24(x0))
Right25(b(x0)) → Ab(Right25(x0))
Right26(b(x0)) → Ab(Right26(x0))
Right27(b(x0)) → Ab(Right27(x0))
Right28(b(x0)) → Ab(Right28(x0))
Right29(b(x0)) → Ab(Right29(x0))
Right30(b(x0)) → Ab(Right30(x0))
Right31(b(x0)) → Ab(Right31(x0))
Right32(b(x0)) → Ab(Right32(x0))
Right33(b(x0)) → Ab(Right33(x0))
Right34(b(x0)) → Ab(Right34(x0))
Right35(b(x0)) → Ab(Right35(x0))
Right36(b(x0)) → Ab(Right36(x0))
Right37(b(x0)) → Ab(Right37(x0))
Right38(b(x0)) → Ab(Right38(x0))
Right39(b(x0)) → Ab(Right39(x0))
Right40(b(x0)) → Ab(Right40(x0))
Right41(b(x0)) → Ab(Right41(x0))
Right42(b(x0)) → Ab(Right42(x0))
Right43(b(x0)) → Ab(Right43(x0))
Right44(b(x0)) → Ab(Right44(x0))
Right45(b(x0)) → Ab(Right45(x0))
Right46(b(x0)) → Ab(Right46(x0))
Right47(b(x0)) → Ab(Right47(x0))
Right48(b(x0)) → Ab(Right48(x0))
Right49(b(x0)) → Ab(Right49(x0))
Aa(Left(x0)) → Left(a(x0))
Ab(Left(x0)) → Left(b(x0))
Wait(Left(x0)) → Begin(x0)
a(a(x0)) → b(x0)
a(a(a(x0))) → a(b(a(x0)))
a(b(a(x0))) → b(b(b(x0)))
a(a(a(a(x0)))) → a(a(b(a(a(x0)))))
a(a(b(a(x0)))) → a(b(b(a(b(x0)))))
a(b(a(a(x0)))) → b(a(b(b(a(x0)))))
a(b(b(a(x0)))) → b(b(b(b(b(x0)))))
a(a(a(a(a(x0))))) → a(a(a(b(a(a(a(x0)))))))
a(a(a(b(a(x0))))) → a(a(b(b(a(a(b(x0)))))))
a(a(b(a(a(x0))))) → a(b(a(b(a(b(a(x0)))))))
a(a(b(b(a(x0))))) → a(b(b(b(a(b(b(x0)))))))
a(b(a(a(a(x0))))) → b(a(a(b(b(a(a(x0)))))))
a(b(a(b(a(x0))))) → b(a(b(b(b(a(b(x0)))))))
a(b(b(a(a(x0))))) → b(b(a(b(b(b(a(x0)))))))
a(b(b(b(a(x0))))) → b(b(b(b(b(b(b(x0)))))))

Proof

1 Termination Assumption

We assume termination of the following TRS
Begin(a(x0)) → Wait(Right1(x0))
Begin(a(a(x0))) → Wait(Right2(x0))
Begin(a(x0)) → Wait(Right3(x0))
Begin(b(a(x0))) → Wait(Right4(x0))
Begin(a(x0)) → Wait(Right5(x0))
Begin(a(a(a(x0)))) → Wait(Right6(x0))
Begin(a(a(x0))) → Wait(Right7(x0))
Begin(a(x0)) → Wait(Right8(x0))
Begin(a(b(a(x0)))) → Wait(Right9(x0))
Begin(b(a(x0))) → Wait(Right10(x0))
Begin(a(x0)) → Wait(Right11(x0))
Begin(b(a(a(x0)))) → Wait(Right12(x0))
Begin(a(a(x0))) → Wait(Right13(x0))
Begin(a(x0)) → Wait(Right14(x0))
Begin(b(b(a(x0)))) → Wait(Right15(x0))
Begin(b(a(x0))) → Wait(Right16(x0))
Begin(a(x0)) → Wait(Right17(x0))
Begin(a(a(a(a(x0))))) → Wait(Right18(x0))
Begin(a(a(a(x0)))) → Wait(Right19(x0))
Begin(a(a(x0))) → Wait(Right20(x0))
Begin(a(x0)) → Wait(Right21(x0))
Begin(a(a(b(a(x0))))) → Wait(Right22(x0))
Begin(a(b(a(x0)))) → Wait(Right23(x0))
Begin(b(a(x0))) → Wait(Right24(x0))
Begin(a(x0)) → Wait(Right25(x0))
Begin(a(b(a(a(x0))))) → Wait(Right26(x0))
Begin(b(a(a(x0)))) → Wait(Right27(x0))
Begin(a(a(x0))) → Wait(Right28(x0))
Begin(a(x0)) → Wait(Right29(x0))
Begin(a(b(b(a(x0))))) → Wait(Right30(x0))
Begin(b(b(a(x0)))) → Wait(Right31(x0))
Begin(b(a(x0))) → Wait(Right32(x0))
Begin(a(x0)) → Wait(Right33(x0))
Begin(b(a(a(a(x0))))) → Wait(Right34(x0))
Begin(a(a(a(x0)))) → Wait(Right35(x0))
Begin(a(a(x0))) → Wait(Right36(x0))
Begin(a(x0)) → Wait(Right37(x0))
Begin(b(a(b(a(x0))))) → Wait(Right38(x0))
Begin(a(b(a(x0)))) → Wait(Right39(x0))
Begin(b(a(x0))) → Wait(Right40(x0))
Begin(a(x0)) → Wait(Right41(x0))
Begin(b(b(a(a(x0))))) → Wait(Right42(x0))
Begin(b(a(a(x0)))) → Wait(Right43(x0))
Begin(a(a(x0))) → Wait(Right44(x0))
Begin(a(x0)) → Wait(Right45(x0))
Begin(b(b(b(a(x0))))) → Wait(Right46(x0))
Begin(b(b(a(x0)))) → Wait(Right47(x0))
Begin(b(a(x0))) → Wait(Right48(x0))
Begin(a(x0)) → Wait(Right49(x0))
Right1(a(End(x0))) → Left(b(End(x0)))
Right2(a(End(x0))) → Left(a(b(a(End(x0)))))
Right3(a(a(End(x0)))) → Left(a(b(a(End(x0)))))
Right4(a(End(x0))) → Left(b(b(b(End(x0)))))
Right5(a(b(End(x0)))) → Left(b(b(b(End(x0)))))
Right6(a(End(x0))) → Left(a(a(b(a(a(End(x0)))))))
Right7(a(a(End(x0)))) → Left(a(a(b(a(a(End(x0)))))))
Right8(a(a(a(End(x0))))) → Left(a(a(b(a(a(End(x0)))))))
Right9(a(End(x0))) → Left(a(b(b(a(b(End(x0)))))))
Right10(a(a(End(x0)))) → Left(a(b(b(a(b(End(x0)))))))
Right11(a(a(b(End(x0))))) → Left(a(b(b(a(b(End(x0)))))))
Right12(a(End(x0))) → Left(b(a(b(b(a(End(x0)))))))
Right13(a(b(End(x0)))) → Left(b(a(b(b(a(End(x0)))))))
Right14(a(b(a(End(x0))))) → Left(b(a(b(b(a(End(x0)))))))
Right15(a(End(x0))) → Left(b(b(b(b(b(End(x0)))))))
Right16(a(b(End(x0)))) → Left(b(b(b(b(b(End(x0)))))))
Right17(a(b(b(End(x0))))) → Left(b(b(b(b(b(End(x0)))))))
Right18(a(End(x0))) → Left(a(a(a(b(a(a(a(End(x0)))))))))
Right19(a(a(End(x0)))) → Left(a(a(a(b(a(a(a(End(x0)))))))))
Right20(a(a(a(End(x0))))) → Left(a(a(a(b(a(a(a(End(x0)))))))))
Right21(a(a(a(a(End(x0)))))) → Left(a(a(a(b(a(a(a(End(x0)))))))))
Right22(a(End(x0))) → Left(a(a(b(b(a(a(b(End(x0)))))))))
Right23(a(a(End(x0)))) → Left(a(a(b(b(a(a(b(End(x0)))))))))
Right24(a(a(a(End(x0))))) → Left(a(a(b(b(a(a(b(End(x0)))))))))
Right25(a(a(a(b(End(x0)))))) → Left(a(a(b(b(a(a(b(End(x0)))))))))
Right26(a(End(x0))) → Left(a(b(a(b(a(b(a(End(x0)))))))))
Right27(a(a(End(x0)))) → Left(a(b(a(b(a(b(a(End(x0)))))))))
Right28(a(a(b(End(x0))))) → Left(a(b(a(b(a(b(a(End(x0)))))))))
Right29(a(a(b(a(End(x0)))))) → Left(a(b(a(b(a(b(a(End(x0)))))))))
Right30(a(End(x0))) → Left(a(b(b(b(a(b(b(End(x0)))))))))
Right31(a(a(End(x0)))) → Left(a(b(b(b(a(b(b(End(x0)))))))))
Right32(a(a(b(End(x0))))) → Left(a(b(b(b(a(b(b(End(x0)))))))))
Right33(a(a(b(b(End(x0)))))) → Left(a(b(b(b(a(b(b(End(x0)))))))))
Right34(a(End(x0))) → Left(b(a(a(b(b(a(a(End(x0)))))))))
Right35(a(b(End(x0)))) → Left(b(a(a(b(b(a(a(End(x0)))))))))
Right36(a(b(a(End(x0))))) → Left(b(a(a(b(b(a(a(End(x0)))))))))
Right37(a(b(a(a(End(x0)))))) → Left(b(a(a(b(b(a(a(End(x0)))))))))
Right38(a(End(x0))) → Left(b(a(b(b(b(a(b(End(x0)))))))))
Right39(a(b(End(x0)))) → Left(b(a(b(b(b(a(b(End(x0)))))))))
Right40(a(b(a(End(x0))))) → Left(b(a(b(b(b(a(b(End(x0)))))))))
Right41(a(b(a(b(End(x0)))))) → Left(b(a(b(b(b(a(b(End(x0)))))))))
Right42(a(End(x0))) → Left(b(b(a(b(b(b(a(End(x0)))))))))
Right43(a(b(End(x0)))) → Left(b(b(a(b(b(b(a(End(x0)))))))))
Right44(a(b(b(End(x0))))) → Left(b(b(a(b(b(b(a(End(x0)))))))))
Right45(a(b(b(a(End(x0)))))) → Left(b(b(a(b(b(b(a(End(x0)))))))))
Right46(a(End(x0))) → Left(b(b(b(b(b(b(b(End(x0)))))))))
Right47(a(b(End(x0)))) → Left(b(b(b(b(b(b(b(End(x0)))))))))
Right48(a(b(b(End(x0))))) → Left(b(b(b(b(b(b(b(End(x0)))))))))
Right49(a(b(b(b(End(x0)))))) → Left(b(b(b(b(b(b(b(End(x0)))))))))
Right1(a(x0)) → Aa(Right1(x0))
Right2(a(x0)) → Aa(Right2(x0))
Right3(a(x0)) → Aa(Right3(x0))
Right4(a(x0)) → Aa(Right4(x0))
Right5(a(x0)) → Aa(Right5(x0))
Right6(a(x0)) → Aa(Right6(x0))
Right7(a(x0)) → Aa(Right7(x0))
Right8(a(x0)) → Aa(Right8(x0))
Right9(a(x0)) → Aa(Right9(x0))
Right10(a(x0)) → Aa(Right10(x0))
Right11(a(x0)) → Aa(Right11(x0))
Right12(a(x0)) → Aa(Right12(x0))
Right13(a(x0)) → Aa(Right13(x0))
Right14(a(x0)) → Aa(Right14(x0))
Right15(a(x0)) → Aa(Right15(x0))
Right16(a(x0)) → Aa(Right16(x0))
Right17(a(x0)) → Aa(Right17(x0))
Right18(a(x0)) → Aa(Right18(x0))
Right19(a(x0)) → Aa(Right19(x0))
Right20(a(x0)) → Aa(Right20(x0))
Right21(a(x0)) → Aa(Right21(x0))
Right22(a(x0)) → Aa(Right22(x0))
Right23(a(x0)) → Aa(Right23(x0))
Right24(a(x0)) → Aa(Right24(x0))
Right25(a(x0)) → Aa(Right25(x0))
Right26(a(x0)) → Aa(Right26(x0))
Right27(a(x0)) → Aa(Right27(x0))
Right28(a(x0)) → Aa(Right28(x0))
Right29(a(x0)) → Aa(Right29(x0))
Right30(a(x0)) → Aa(Right30(x0))
Right31(a(x0)) → Aa(Right31(x0))
Right32(a(x0)) → Aa(Right32(x0))
Right33(a(x0)) → Aa(Right33(x0))
Right34(a(x0)) → Aa(Right34(x0))
Right35(a(x0)) → Aa(Right35(x0))
Right36(a(x0)) → Aa(Right36(x0))
Right37(a(x0)) → Aa(Right37(x0))
Right38(a(x0)) → Aa(Right38(x0))
Right39(a(x0)) → Aa(Right39(x0))
Right40(a(x0)) → Aa(Right40(x0))
Right41(a(x0)) → Aa(Right41(x0))
Right42(a(x0)) → Aa(Right42(x0))
Right43(a(x0)) → Aa(Right43(x0))
Right44(a(x0)) → Aa(Right44(x0))
Right45(a(x0)) → Aa(Right45(x0))
Right46(a(x0)) → Aa(Right46(x0))
Right47(a(x0)) → Aa(Right47(x0))
Right48(a(x0)) → Aa(Right48(x0))
Right49(a(x0)) → Aa(Right49(x0))
Right1(b(x0)) → Ab(Right1(x0))
Right2(b(x0)) → Ab(Right2(x0))
Right3(b(x0)) → Ab(Right3(x0))
Right4(b(x0)) → Ab(Right4(x0))
Right5(b(x0)) → Ab(Right5(x0))
Right6(b(x0)) → Ab(Right6(x0))
Right7(b(x0)) → Ab(Right7(x0))
Right8(b(x0)) → Ab(Right8(x0))
Right9(b(x0)) → Ab(Right9(x0))
Right10(b(x0)) → Ab(Right10(x0))
Right11(b(x0)) → Ab(Right11(x0))
Right12(b(x0)) → Ab(Right12(x0))
Right13(b(x0)) → Ab(Right13(x0))
Right14(b(x0)) → Ab(Right14(x0))
Right15(b(x0)) → Ab(Right15(x0))
Right16(b(x0)) → Ab(Right16(x0))
Right17(b(x0)) → Ab(Right17(x0))
Right18(b(x0)) → Ab(Right18(x0))
Right19(b(x0)) → Ab(Right19(x0))
Right20(b(x0)) → Ab(Right20(x0))
Right21(b(x0)) → Ab(Right21(x0))
Right22(b(x0)) → Ab(Right22(x0))
Right23(b(x0)) → Ab(Right23(x0))
Right24(b(x0)) → Ab(Right24(x0))
Right25(b(x0)) → Ab(Right25(x0))
Right26(b(x0)) → Ab(Right26(x0))
Right27(b(x0)) → Ab(Right27(x0))
Right28(b(x0)) → Ab(Right28(x0))
Right29(b(x0)) → Ab(Right29(x0))
Right30(b(x0)) → Ab(Right30(x0))
Right31(b(x0)) → Ab(Right31(x0))
Right32(b(x0)) → Ab(Right32(x0))
Right33(b(x0)) → Ab(Right33(x0))
Right34(b(x0)) → Ab(Right34(x0))
Right35(b(x0)) → Ab(Right35(x0))
Right36(b(x0)) → Ab(Right36(x0))
Right37(b(x0)) → Ab(Right37(x0))
Right38(b(x0)) → Ab(Right38(x0))
Right39(b(x0)) → Ab(Right39(x0))
Right40(b(x0)) → Ab(Right40(x0))
Right41(b(x0)) → Ab(Right41(x0))
Right42(b(x0)) → Ab(Right42(x0))
Right43(b(x0)) → Ab(Right43(x0))
Right44(b(x0)) → Ab(Right44(x0))
Right45(b(x0)) → Ab(Right45(x0))
Right46(b(x0)) → Ab(Right46(x0))
Right47(b(x0)) → Ab(Right47(x0))
Right48(b(x0)) → Ab(Right48(x0))
Right49(b(x0)) → Ab(Right49(x0))
Aa(Left(x0)) → Left(a(x0))
Ab(Left(x0)) → Left(b(x0))
Wait(Left(x0)) → Begin(x0)
a(a(x0)) → b(x0)
a(a(a(x0))) → a(b(a(x0)))
a(b(a(x0))) → b(b(b(x0)))
a(a(a(a(x0)))) → a(a(b(a(a(x0)))))
a(a(b(a(x0)))) → a(b(b(a(b(x0)))))
a(b(a(a(x0)))) → b(a(b(b(a(x0)))))
a(b(b(a(x0)))) → b(b(b(b(b(x0)))))
a(a(a(a(a(x0))))) → a(a(a(b(a(a(a(x0)))))))
a(a(a(b(a(x0))))) → a(a(b(b(a(a(b(x0)))))))
a(a(b(a(a(x0))))) → a(b(a(b(a(b(a(x0)))))))
a(a(b(b(a(x0))))) → a(b(b(b(a(b(b(x0)))))))
a(b(a(a(a(x0))))) → b(a(a(b(b(a(a(x0)))))))
a(b(a(b(a(x0))))) → b(a(b(b(b(a(b(x0)))))))
a(b(b(a(a(x0))))) → b(b(a(b(b(b(a(x0)))))))
a(b(b(b(a(x0))))) → b(b(b(b(b(b(b(x0)))))))