MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

Begin(1(2(1(x0)))) → Wait(Right1(x0))
Begin(2(1(x0))) → Wait(Right2(x0))
Begin(1(x0)) → Wait(Right3(x0))
Begin(1(2(1(x0)))) → Wait(Right4(x0))
Begin(2(1(x0))) → Wait(Right5(x0))
Begin(1(x0)) → Wait(Right6(x0))
Begin(1(2(1(x0)))) → Wait(Right7(x0))
Begin(2(1(x0))) → Wait(Right8(x0))
Begin(1(x0)) → Wait(Right9(x0))
Begin(1(2(1(x0)))) → Wait(Right10(x0))
Begin(2(1(x0))) → Wait(Right11(x0))
Begin(1(x0)) → Wait(Right12(x0))
Begin(1(2(1(x0)))) → Wait(Right13(x0))
Begin(2(1(x0))) → Wait(Right14(x0))
Begin(1(x0)) → Wait(Right15(x0))
Begin(1(2(1(x0)))) → Wait(Right16(x0))
Begin(2(1(x0))) → Wait(Right17(x0))
Begin(1(x0)) → Wait(Right18(x0))
Begin(1(2(1(x0)))) → Wait(Right19(x0))
Begin(2(1(x0))) → Wait(Right20(x0))
Begin(1(x0)) → Wait(Right21(x0))
Begin(1(2(1(x0)))) → Wait(Right22(x0))
Begin(2(1(x0))) → Wait(Right23(x0))
Begin(1(x0)) → Wait(Right24(x0))
Begin(1(2(1(x0)))) → Wait(Right25(x0))
Begin(2(1(x0))) → Wait(Right26(x0))
Begin(1(x0)) → Wait(Right27(x0))
Begin(1(2(1(x0)))) → Wait(Right28(x0))
Begin(2(1(x0))) → Wait(Right29(x0))
Begin(1(x0)) → Wait(Right30(x0))
Begin(1(2(1(x0)))) → Wait(Right31(x0))
Begin(2(1(x0))) → Wait(Right32(x0))
Begin(1(x0)) → Wait(Right33(x0))
Begin(1(2(1(x0)))) → Wait(Right34(x0))
Begin(2(1(x0))) → Wait(Right35(x0))
Begin(1(x0)) → Wait(Right36(x0))
Begin(1(2(1(x0)))) → Wait(Right37(x0))
Begin(2(1(x0))) → Wait(Right38(x0))
Begin(1(x0)) → Wait(Right39(x0))
Right1(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(End(x0))))))))))))
Right2(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(End(x0))))))))))))
Right3(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(End(x0))))))))))))
Right4(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))
Right5(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))
Right6(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))
Right7(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))
Right8(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))
Right9(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))
Right10(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))
Right11(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))
Right12(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))
Right13(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))
Right14(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))
Right15(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))
Right16(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))
Right17(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))
Right18(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))
Right19(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))
Right20(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))
Right21(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))
Right22(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))
Right23(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))
Right24(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))
Right25(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))
Right26(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))
Right27(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))
Right28(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))
Right29(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))
Right30(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))
Right31(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))
Right32(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))
Right33(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))
Right34(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))))))))
Right35(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))))))))
Right36(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))))))))
Right37(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))))))))
Right38(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))))))))
Right39(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))))))))
Right1(0(x0)) → A0(Right1(x0))
Right2(0(x0)) → A0(Right2(x0))
Right3(0(x0)) → A0(Right3(x0))
Right4(0(x0)) → A0(Right4(x0))
Right5(0(x0)) → A0(Right5(x0))
Right6(0(x0)) → A0(Right6(x0))
Right7(0(x0)) → A0(Right7(x0))
Right8(0(x0)) → A0(Right8(x0))
Right9(0(x0)) → A0(Right9(x0))
Right10(0(x0)) → A0(Right10(x0))
Right11(0(x0)) → A0(Right11(x0))
Right12(0(x0)) → A0(Right12(x0))
Right13(0(x0)) → A0(Right13(x0))
Right14(0(x0)) → A0(Right14(x0))
Right15(0(x0)) → A0(Right15(x0))
Right16(0(x0)) → A0(Right16(x0))
Right17(0(x0)) → A0(Right17(x0))
Right18(0(x0)) → A0(Right18(x0))
Right19(0(x0)) → A0(Right19(x0))
Right20(0(x0)) → A0(Right20(x0))
Right21(0(x0)) → A0(Right21(x0))
Right22(0(x0)) → A0(Right22(x0))
Right23(0(x0)) → A0(Right23(x0))
Right24(0(x0)) → A0(Right24(x0))
Right25(0(x0)) → A0(Right25(x0))
Right26(0(x0)) → A0(Right26(x0))
Right27(0(x0)) → A0(Right27(x0))
Right28(0(x0)) → A0(Right28(x0))
Right29(0(x0)) → A0(Right29(x0))
Right30(0(x0)) → A0(Right30(x0))
Right31(0(x0)) → A0(Right31(x0))
Right32(0(x0)) → A0(Right32(x0))
Right33(0(x0)) → A0(Right33(x0))
Right34(0(x0)) → A0(Right34(x0))
Right35(0(x0)) → A0(Right35(x0))
Right36(0(x0)) → A0(Right36(x0))
Right37(0(x0)) → A0(Right37(x0))
Right38(0(x0)) → A0(Right38(x0))
Right39(0(x0)) → A0(Right39(x0))
Right1(1(x0)) → A1(Right1(x0))
Right2(1(x0)) → A1(Right2(x0))
Right3(1(x0)) → A1(Right3(x0))
Right4(1(x0)) → A1(Right4(x0))
Right5(1(x0)) → A1(Right5(x0))
Right6(1(x0)) → A1(Right6(x0))
Right7(1(x0)) → A1(Right7(x0))
Right8(1(x0)) → A1(Right8(x0))
Right9(1(x0)) → A1(Right9(x0))
Right10(1(x0)) → A1(Right10(x0))
Right11(1(x0)) → A1(Right11(x0))
Right12(1(x0)) → A1(Right12(x0))
Right13(1(x0)) → A1(Right13(x0))
Right14(1(x0)) → A1(Right14(x0))
Right15(1(x0)) → A1(Right15(x0))
Right16(1(x0)) → A1(Right16(x0))
Right17(1(x0)) → A1(Right17(x0))
Right18(1(x0)) → A1(Right18(x0))
Right19(1(x0)) → A1(Right19(x0))
Right20(1(x0)) → A1(Right20(x0))
Right21(1(x0)) → A1(Right21(x0))
Right22(1(x0)) → A1(Right22(x0))
Right23(1(x0)) → A1(Right23(x0))
Right24(1(x0)) → A1(Right24(x0))
Right25(1(x0)) → A1(Right25(x0))
Right26(1(x0)) → A1(Right26(x0))
Right27(1(x0)) → A1(Right27(x0))
Right28(1(x0)) → A1(Right28(x0))
Right29(1(x0)) → A1(Right29(x0))
Right30(1(x0)) → A1(Right30(x0))
Right31(1(x0)) → A1(Right31(x0))
Right32(1(x0)) → A1(Right32(x0))
Right33(1(x0)) → A1(Right33(x0))
Right34(1(x0)) → A1(Right34(x0))
Right35(1(x0)) → A1(Right35(x0))
Right36(1(x0)) → A1(Right36(x0))
Right37(1(x0)) → A1(Right37(x0))
Right38(1(x0)) → A1(Right38(x0))
Right39(1(x0)) → A1(Right39(x0))
Right1(2(x0)) → A2(Right1(x0))
Right2(2(x0)) → A2(Right2(x0))
Right3(2(x0)) → A2(Right3(x0))
Right4(2(x0)) → A2(Right4(x0))
Right5(2(x0)) → A2(Right5(x0))
Right6(2(x0)) → A2(Right6(x0))
Right7(2(x0)) → A2(Right7(x0))
Right8(2(x0)) → A2(Right8(x0))
Right9(2(x0)) → A2(Right9(x0))
Right10(2(x0)) → A2(Right10(x0))
Right11(2(x0)) → A2(Right11(x0))
Right12(2(x0)) → A2(Right12(x0))
Right13(2(x0)) → A2(Right13(x0))
Right14(2(x0)) → A2(Right14(x0))
Right15(2(x0)) → A2(Right15(x0))
Right16(2(x0)) → A2(Right16(x0))
Right17(2(x0)) → A2(Right17(x0))
Right18(2(x0)) → A2(Right18(x0))
Right19(2(x0)) → A2(Right19(x0))
Right20(2(x0)) → A2(Right20(x0))
Right21(2(x0)) → A2(Right21(x0))
Right22(2(x0)) → A2(Right22(x0))
Right23(2(x0)) → A2(Right23(x0))
Right24(2(x0)) → A2(Right24(x0))
Right25(2(x0)) → A2(Right25(x0))
Right26(2(x0)) → A2(Right26(x0))
Right27(2(x0)) → A2(Right27(x0))
Right28(2(x0)) → A2(Right28(x0))
Right29(2(x0)) → A2(Right29(x0))
Right30(2(x0)) → A2(Right30(x0))
Right31(2(x0)) → A2(Right31(x0))
Right32(2(x0)) → A2(Right32(x0))
Right33(2(x0)) → A2(Right33(x0))
Right34(2(x0)) → A2(Right34(x0))
Right35(2(x0)) → A2(Right35(x0))
Right36(2(x0)) → A2(Right36(x0))
Right37(2(x0)) → A2(Right37(x0))
Right38(2(x0)) → A2(Right38(x0))
Right39(2(x0)) → A2(Right39(x0))
A0(Left(x0)) → Left(0(x0))
A1(Left(x0)) → Left(1(x0))
A2(Left(x0)) → Left(2(x0))
Wait(Left(x0)) → Begin(x0)
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(x0))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(x0)))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))))))))))))))))))))))))))

Proof

1 Termination Assumption

We assume termination of the following TRS
Begin(1(2(1(x0)))) → Wait(Right1(x0))
Begin(2(1(x0))) → Wait(Right2(x0))
Begin(1(x0)) → Wait(Right3(x0))
Begin(1(2(1(x0)))) → Wait(Right4(x0))
Begin(2(1(x0))) → Wait(Right5(x0))
Begin(1(x0)) → Wait(Right6(x0))
Begin(1(2(1(x0)))) → Wait(Right7(x0))
Begin(2(1(x0))) → Wait(Right8(x0))
Begin(1(x0)) → Wait(Right9(x0))
Begin(1(2(1(x0)))) → Wait(Right10(x0))
Begin(2(1(x0))) → Wait(Right11(x0))
Begin(1(x0)) → Wait(Right12(x0))
Begin(1(2(1(x0)))) → Wait(Right13(x0))
Begin(2(1(x0))) → Wait(Right14(x0))
Begin(1(x0)) → Wait(Right15(x0))
Begin(1(2(1(x0)))) → Wait(Right16(x0))
Begin(2(1(x0))) → Wait(Right17(x0))
Begin(1(x0)) → Wait(Right18(x0))
Begin(1(2(1(x0)))) → Wait(Right19(x0))
Begin(2(1(x0))) → Wait(Right20(x0))
Begin(1(x0)) → Wait(Right21(x0))
Begin(1(2(1(x0)))) → Wait(Right22(x0))
Begin(2(1(x0))) → Wait(Right23(x0))
Begin(1(x0)) → Wait(Right24(x0))
Begin(1(2(1(x0)))) → Wait(Right25(x0))
Begin(2(1(x0))) → Wait(Right26(x0))
Begin(1(x0)) → Wait(Right27(x0))
Begin(1(2(1(x0)))) → Wait(Right28(x0))
Begin(2(1(x0))) → Wait(Right29(x0))
Begin(1(x0)) → Wait(Right30(x0))
Begin(1(2(1(x0)))) → Wait(Right31(x0))
Begin(2(1(x0))) → Wait(Right32(x0))
Begin(1(x0)) → Wait(Right33(x0))
Begin(1(2(1(x0)))) → Wait(Right34(x0))
Begin(2(1(x0))) → Wait(Right35(x0))
Begin(1(x0)) → Wait(Right36(x0))
Begin(1(2(1(x0)))) → Wait(Right37(x0))
Begin(2(1(x0))) → Wait(Right38(x0))
Begin(1(x0)) → Wait(Right39(x0))
Right1(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(End(x0))))))))))))
Right2(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(End(x0))))))))))))
Right3(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(End(x0))))))))))))
Right4(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))
Right5(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))
Right6(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))
Right7(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))
Right8(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))
Right9(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))
Right10(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))
Right11(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))
Right12(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))
Right13(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))
Right14(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))
Right15(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))
Right16(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))
Right17(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))
Right18(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))
Right19(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))
Right20(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))
Right21(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))
Right22(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))
Right23(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))
Right24(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))
Right25(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))
Right26(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))
Right27(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))
Right28(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))
Right29(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))
Right30(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))
Right31(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))
Right32(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))
Right33(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))
Right34(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))))))))
Right35(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))))))))
Right36(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0)))))))))))))))))))))))))))))))))))))))))))))
Right37(0(End(x0))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))))))))
Right38(0(1(End(x0)))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))))))))
Right39(0(1(2(End(x0))))) → Left(1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(End(x0))))))))))))))))))))))))))))))))))))))))))))))))
Right1(0(x0)) → A0(Right1(x0))
Right2(0(x0)) → A0(Right2(x0))
Right3(0(x0)) → A0(Right3(x0))
Right4(0(x0)) → A0(Right4(x0))
Right5(0(x0)) → A0(Right5(x0))
Right6(0(x0)) → A0(Right6(x0))
Right7(0(x0)) → A0(Right7(x0))
Right8(0(x0)) → A0(Right8(x0))
Right9(0(x0)) → A0(Right9(x0))
Right10(0(x0)) → A0(Right10(x0))
Right11(0(x0)) → A0(Right11(x0))
Right12(0(x0)) → A0(Right12(x0))
Right13(0(x0)) → A0(Right13(x0))
Right14(0(x0)) → A0(Right14(x0))
Right15(0(x0)) → A0(Right15(x0))
Right16(0(x0)) → A0(Right16(x0))
Right17(0(x0)) → A0(Right17(x0))
Right18(0(x0)) → A0(Right18(x0))
Right19(0(x0)) → A0(Right19(x0))
Right20(0(x0)) → A0(Right20(x0))
Right21(0(x0)) → A0(Right21(x0))
Right22(0(x0)) → A0(Right22(x0))
Right23(0(x0)) → A0(Right23(x0))
Right24(0(x0)) → A0(Right24(x0))
Right25(0(x0)) → A0(Right25(x0))
Right26(0(x0)) → A0(Right26(x0))
Right27(0(x0)) → A0(Right27(x0))
Right28(0(x0)) → A0(Right28(x0))
Right29(0(x0)) → A0(Right29(x0))
Right30(0(x0)) → A0(Right30(x0))
Right31(0(x0)) → A0(Right31(x0))
Right32(0(x0)) → A0(Right32(x0))
Right33(0(x0)) → A0(Right33(x0))
Right34(0(x0)) → A0(Right34(x0))
Right35(0(x0)) → A0(Right35(x0))
Right36(0(x0)) → A0(Right36(x0))
Right37(0(x0)) → A0(Right37(x0))
Right38(0(x0)) → A0(Right38(x0))
Right39(0(x0)) → A0(Right39(x0))
Right1(1(x0)) → A1(Right1(x0))
Right2(1(x0)) → A1(Right2(x0))
Right3(1(x0)) → A1(Right3(x0))
Right4(1(x0)) → A1(Right4(x0))
Right5(1(x0)) → A1(Right5(x0))
Right6(1(x0)) → A1(Right6(x0))
Right7(1(x0)) → A1(Right7(x0))
Right8(1(x0)) → A1(Right8(x0))
Right9(1(x0)) → A1(Right9(x0))
Right10(1(x0)) → A1(Right10(x0))
Right11(1(x0)) → A1(Right11(x0))
Right12(1(x0)) → A1(Right12(x0))
Right13(1(x0)) → A1(Right13(x0))
Right14(1(x0)) → A1(Right14(x0))
Right15(1(x0)) → A1(Right15(x0))
Right16(1(x0)) → A1(Right16(x0))
Right17(1(x0)) → A1(Right17(x0))
Right18(1(x0)) → A1(Right18(x0))
Right19(1(x0)) → A1(Right19(x0))
Right20(1(x0)) → A1(Right20(x0))
Right21(1(x0)) → A1(Right21(x0))
Right22(1(x0)) → A1(Right22(x0))
Right23(1(x0)) → A1(Right23(x0))
Right24(1(x0)) → A1(Right24(x0))
Right25(1(x0)) → A1(Right25(x0))
Right26(1(x0)) → A1(Right26(x0))
Right27(1(x0)) → A1(Right27(x0))
Right28(1(x0)) → A1(Right28(x0))
Right29(1(x0)) → A1(Right29(x0))
Right30(1(x0)) → A1(Right30(x0))
Right31(1(x0)) → A1(Right31(x0))
Right32(1(x0)) → A1(Right32(x0))
Right33(1(x0)) → A1(Right33(x0))
Right34(1(x0)) → A1(Right34(x0))
Right35(1(x0)) → A1(Right35(x0))
Right36(1(x0)) → A1(Right36(x0))
Right37(1(x0)) → A1(Right37(x0))
Right38(1(x0)) → A1(Right38(x0))
Right39(1(x0)) → A1(Right39(x0))
Right1(2(x0)) → A2(Right1(x0))
Right2(2(x0)) → A2(Right2(x0))
Right3(2(x0)) → A2(Right3(x0))
Right4(2(x0)) → A2(Right4(x0))
Right5(2(x0)) → A2(Right5(x0))
Right6(2(x0)) → A2(Right6(x0))
Right7(2(x0)) → A2(Right7(x0))
Right8(2(x0)) → A2(Right8(x0))
Right9(2(x0)) → A2(Right9(x0))
Right10(2(x0)) → A2(Right10(x0))
Right11(2(x0)) → A2(Right11(x0))
Right12(2(x0)) → A2(Right12(x0))
Right13(2(x0)) → A2(Right13(x0))
Right14(2(x0)) → A2(Right14(x0))
Right15(2(x0)) → A2(Right15(x0))
Right16(2(x0)) → A2(Right16(x0))
Right17(2(x0)) → A2(Right17(x0))
Right18(2(x0)) → A2(Right18(x0))
Right19(2(x0)) → A2(Right19(x0))
Right20(2(x0)) → A2(Right20(x0))
Right21(2(x0)) → A2(Right21(x0))
Right22(2(x0)) → A2(Right22(x0))
Right23(2(x0)) → A2(Right23(x0))
Right24(2(x0)) → A2(Right24(x0))
Right25(2(x0)) → A2(Right25(x0))
Right26(2(x0)) → A2(Right26(x0))
Right27(2(x0)) → A2(Right27(x0))
Right28(2(x0)) → A2(Right28(x0))
Right29(2(x0)) → A2(Right29(x0))
Right30(2(x0)) → A2(Right30(x0))
Right31(2(x0)) → A2(Right31(x0))
Right32(2(x0)) → A2(Right32(x0))
Right33(2(x0)) → A2(Right33(x0))
Right34(2(x0)) → A2(Right34(x0))
Right35(2(x0)) → A2(Right35(x0))
Right36(2(x0)) → A2(Right36(x0))
Right37(2(x0)) → A2(Right37(x0))
Right38(2(x0)) → A2(Right38(x0))
Right39(2(x0)) → A2(Right39(x0))
A0(Left(x0)) → Left(0(x0))
A1(Left(x0)) → Left(1(x0))
A2(Left(x0)) → Left(2(x0))
Wait(Left(x0)) → Begin(x0)
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(x0))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(x0)))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0)))))))))))))))))))))))))))))))))))))))))))
0(1(2(1(x0)))) → 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x0))))))))))))))))))))))))))))))))))))))))))))))