MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

Begin(4(x0)) → Wait(Right1(x0))
Begin(4(x0)) → Wait(Right2(x0))
Begin(0(4(x0))) → Wait(Right3(x0))
Begin(4(x0)) → Wait(Right4(x0))
Begin(1(1(x0))) → Wait(Right5(x0))
Begin(1(x0)) → Wait(Right6(x0))
Begin(1(3(x0))) → Wait(Right7(x0))
Begin(3(x0)) → Wait(Right8(x0))
Begin(2(4(x0))) → Wait(Right9(x0))
Begin(4(x0)) → Wait(Right10(x0))
Begin(4(0(x0))) → Wait(Right11(x0))
Begin(0(x0)) → Wait(Right12(x0))
Begin(2(3(x0))) → Wait(Right13(x0))
Begin(3(x0)) → Wait(Right14(x0))
Begin(3(3(x0))) → Wait(Right15(x0))
Begin(3(x0)) → Wait(Right16(x0))
Begin(3(3(x0))) → Wait(Right17(x0))
Begin(3(x0)) → Wait(Right18(x0))
Begin(3(5(x0))) → Wait(Right19(x0))
Begin(5(x0)) → Wait(Right20(x0))
Begin(0(0(x0))) → Wait(Right21(x0))
Begin(0(x0)) → Wait(Right22(x0))
Begin(0(1(x0))) → Wait(Right23(x0))
Begin(1(x0)) → Wait(Right24(x0))
Begin(0(1(x0))) → Wait(Right25(x0))
Begin(1(x0)) → Wait(Right26(x0))
Begin(0(4(x0))) → Wait(Right27(x0))
Begin(4(x0)) → Wait(Right28(x0))
Begin(0(4(x0))) → Wait(Right29(x0))
Begin(4(x0)) → Wait(Right30(x0))
Begin(0(1(x0))) → Wait(Right31(x0))
Begin(1(x0)) → Wait(Right32(x0))
Begin(0(5(x0))) → Wait(Right33(x0))
Begin(5(x0)) → Wait(Right34(x0))
Begin(0(0(x0))) → Wait(Right35(x0))
Begin(0(x0)) → Wait(Right36(x0))
Begin(0(5(x0))) → Wait(Right37(x0))
Begin(5(x0)) → Wait(Right38(x0))
Begin(0(5(x0))) → Wait(Right39(x0))
Begin(5(x0)) → Wait(Right40(x0))
Begin(0(2(x0))) → Wait(Right41(x0))
Begin(2(x0)) → Wait(Right42(x0))
Begin(0(4(x0))) → Wait(Right43(x0))
Begin(4(x0)) → Wait(Right44(x0))
Begin(0(4(x0))) → Wait(Right45(x0))
Begin(4(x0)) → Wait(Right46(x0))
Right1(0(End(x0))) → Left(0(1(4(2(3(3(End(x0))))))))
Right2(0(End(x0))) → Left(0(2(1(4(3(4(End(x0))))))))
Right3(0(End(x0))) → Left(1(1(5(2(3(4(End(x0))))))))
Right4(0(0(End(x0)))) → Left(1(1(5(2(3(4(End(x0))))))))
Right5(0(End(x0))) → Left(0(2(2(1(1(1(End(x0))))))))
Right6(0(1(End(x0)))) → Left(0(2(2(1(1(1(End(x0))))))))
Right7(0(End(x0))) → Left(0(2(4(3(4(4(End(x0))))))))
Right8(0(1(End(x0)))) → Left(0(2(4(3(4(4(End(x0))))))))
Right9(0(End(x0))) → Left(1(5(4(3(4(4(End(x0))))))))
Right10(0(2(End(x0)))) → Left(1(5(4(3(4(4(End(x0))))))))
Right11(0(End(x0))) → Left(0(1(2(1(0(3(End(x0))))))))
Right12(0(4(End(x0)))) → Left(0(1(2(1(0(3(End(x0))))))))
Right13(1(End(x0))) → Left(5(1(4(1(4(4(End(x0))))))))
Right14(1(2(End(x0)))) → Left(5(1(4(1(4(4(End(x0))))))))
Right15(1(End(x0))) → Left(0(2(1(1(0(5(End(x0))))))))
Right16(1(3(End(x0)))) → Left(0(2(1(1(0(5(End(x0))))))))
Right17(1(End(x0))) → Left(5(4(0(3(2(3(End(x0))))))))
Right18(1(3(End(x0)))) → Left(5(4(0(3(2(3(End(x0))))))))
Right19(1(End(x0))) → Left(1(1(4(3(3(2(End(x0))))))))
Right20(1(3(End(x0)))) → Left(1(1(4(3(3(2(End(x0))))))))
Right21(2(End(x0))) → Left(2(4(3(4(4(4(End(x0))))))))
Right22(2(0(End(x0)))) → Left(2(4(3(4(4(4(End(x0))))))))
Right23(2(End(x0))) → Left(2(1(5(1(0(1(End(x0))))))))
Right24(2(0(End(x0)))) → Left(2(1(5(1(0(1(End(x0))))))))
Right25(2(End(x0))) → Left(2(4(3(5(2(3(End(x0))))))))
Right26(2(0(End(x0)))) → Left(2(4(3(5(2(3(End(x0))))))))
Right27(2(End(x0))) → Left(2(0(2(1(4(3(End(x0))))))))
Right28(2(0(End(x0)))) → Left(2(0(2(1(4(3(End(x0))))))))
Right29(2(End(x0))) → Left(2(4(1(4(3(1(End(x0))))))))
Right30(2(0(End(x0)))) → Left(2(4(1(4(3(1(End(x0))))))))
Right31(3(End(x0))) → Left(3(1(4(3(4(1(End(x0))))))))
Right32(3(0(End(x0)))) → Left(3(1(4(3(4(1(End(x0))))))))
Right33(3(End(x0))) → Left(3(1(0(2(3(2(End(x0))))))))
Right34(3(0(End(x0)))) → Left(3(1(0(2(3(2(End(x0))))))))
Right35(4(End(x0))) → Left(2(5(2(1(1(1(End(x0))))))))
Right36(4(0(End(x0)))) → Left(2(5(2(1(1(1(End(x0))))))))
Right37(4(End(x0))) → Left(4(1(4(5(1(4(End(x0))))))))
Right38(4(0(End(x0)))) → Left(4(1(4(5(1(4(End(x0))))))))
Right39(4(End(x0))) → Left(4(2(1(4(3(5(End(x0))))))))
Right40(4(0(End(x0)))) → Left(4(2(1(4(3(5(End(x0))))))))
Right41(5(End(x0))) → Left(1(5(2(1(0(2(End(x0))))))))
Right42(5(0(End(x0)))) → Left(1(5(2(1(0(2(End(x0))))))))
Right43(5(End(x0))) → Left(1(0(3(2(4(4(End(x0))))))))
Right44(5(0(End(x0)))) → Left(1(0(3(2(4(4(End(x0))))))))
Right45(5(End(x0))) → Left(1(5(1(0(3(4(End(x0))))))))
Right46(5(0(End(x0)))) → Left(1(5(1(0(3(4(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))
Right40(0(x0)) → A0(Right40(x0))
Right41(0(x0)) → A0(Right41(x0))
Right42(0(x0)) → A0(Right42(x0))
Right43(0(x0)) → A0(Right43(x0))
Right44(0(x0)) → A0(Right44(x0))
Right45(0(x0)) → A0(Right45(x0))
Right46(0(x0)) → A0(Right46(x0))
Right1(4(x0)) → A4(Right1(x0))
Right2(4(x0)) → A4(Right2(x0))
Right3(4(x0)) → A4(Right3(x0))
Right4(4(x0)) → A4(Right4(x0))
Right5(4(x0)) → A4(Right5(x0))
Right6(4(x0)) → A4(Right6(x0))
Right7(4(x0)) → A4(Right7(x0))
Right8(4(x0)) → A4(Right8(x0))
Right9(4(x0)) → A4(Right9(x0))
Right10(4(x0)) → A4(Right10(x0))
Right11(4(x0)) → A4(Right11(x0))
Right12(4(x0)) → A4(Right12(x0))
Right13(4(x0)) → A4(Right13(x0))
Right14(4(x0)) → A4(Right14(x0))
Right15(4(x0)) → A4(Right15(x0))
Right16(4(x0)) → A4(Right16(x0))
Right17(4(x0)) → A4(Right17(x0))
Right18(4(x0)) → A4(Right18(x0))
Right19(4(x0)) → A4(Right19(x0))
Right20(4(x0)) → A4(Right20(x0))
Right21(4(x0)) → A4(Right21(x0))
Right22(4(x0)) → A4(Right22(x0))
Right23(4(x0)) → A4(Right23(x0))
Right24(4(x0)) → A4(Right24(x0))
Right25(4(x0)) → A4(Right25(x0))
Right26(4(x0)) → A4(Right26(x0))
Right27(4(x0)) → A4(Right27(x0))
Right28(4(x0)) → A4(Right28(x0))
Right29(4(x0)) → A4(Right29(x0))
Right30(4(x0)) → A4(Right30(x0))
Right31(4(x0)) → A4(Right31(x0))
Right32(4(x0)) → A4(Right32(x0))
Right33(4(x0)) → A4(Right33(x0))
Right34(4(x0)) → A4(Right34(x0))
Right35(4(x0)) → A4(Right35(x0))
Right36(4(x0)) → A4(Right36(x0))
Right37(4(x0)) → A4(Right37(x0))
Right38(4(x0)) → A4(Right38(x0))
Right39(4(x0)) → A4(Right39(x0))
Right40(4(x0)) → A4(Right40(x0))
Right41(4(x0)) → A4(Right41(x0))
Right42(4(x0)) → A4(Right42(x0))
Right43(4(x0)) → A4(Right43(x0))
Right44(4(x0)) → A4(Right44(x0))
Right45(4(x0)) → A4(Right45(x0))
Right46(4(x0)) → A4(Right46(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))
Right40(1(x0)) → A1(Right40(x0))
Right41(1(x0)) → A1(Right41(x0))
Right42(1(x0)) → A1(Right42(x0))
Right43(1(x0)) → A1(Right43(x0))
Right44(1(x0)) → A1(Right44(x0))
Right45(1(x0)) → A1(Right45(x0))
Right46(1(x0)) → A1(Right46(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))
Right40(2(x0)) → A2(Right40(x0))
Right41(2(x0)) → A2(Right41(x0))
Right42(2(x0)) → A2(Right42(x0))
Right43(2(x0)) → A2(Right43(x0))
Right44(2(x0)) → A2(Right44(x0))
Right45(2(x0)) → A2(Right45(x0))
Right46(2(x0)) → A2(Right46(x0))
Right1(3(x0)) → A3(Right1(x0))
Right2(3(x0)) → A3(Right2(x0))
Right3(3(x0)) → A3(Right3(x0))
Right4(3(x0)) → A3(Right4(x0))
Right5(3(x0)) → A3(Right5(x0))
Right6(3(x0)) → A3(Right6(x0))
Right7(3(x0)) → A3(Right7(x0))
Right8(3(x0)) → A3(Right8(x0))
Right9(3(x0)) → A3(Right9(x0))
Right10(3(x0)) → A3(Right10(x0))
Right11(3(x0)) → A3(Right11(x0))
Right12(3(x0)) → A3(Right12(x0))
Right13(3(x0)) → A3(Right13(x0))
Right14(3(x0)) → A3(Right14(x0))
Right15(3(x0)) → A3(Right15(x0))
Right16(3(x0)) → A3(Right16(x0))
Right17(3(x0)) → A3(Right17(x0))
Right18(3(x0)) → A3(Right18(x0))
Right19(3(x0)) → A3(Right19(x0))
Right20(3(x0)) → A3(Right20(x0))
Right21(3(x0)) → A3(Right21(x0))
Right22(3(x0)) → A3(Right22(x0))
Right23(3(x0)) → A3(Right23(x0))
Right24(3(x0)) → A3(Right24(x0))
Right25(3(x0)) → A3(Right25(x0))
Right26(3(x0)) → A3(Right26(x0))
Right27(3(x0)) → A3(Right27(x0))
Right28(3(x0)) → A3(Right28(x0))
Right29(3(x0)) → A3(Right29(x0))
Right30(3(x0)) → A3(Right30(x0))
Right31(3(x0)) → A3(Right31(x0))
Right32(3(x0)) → A3(Right32(x0))
Right33(3(x0)) → A3(Right33(x0))
Right34(3(x0)) → A3(Right34(x0))
Right35(3(x0)) → A3(Right35(x0))
Right36(3(x0)) → A3(Right36(x0))
Right37(3(x0)) → A3(Right37(x0))
Right38(3(x0)) → A3(Right38(x0))
Right39(3(x0)) → A3(Right39(x0))
Right40(3(x0)) → A3(Right40(x0))
Right41(3(x0)) → A3(Right41(x0))
Right42(3(x0)) → A3(Right42(x0))
Right43(3(x0)) → A3(Right43(x0))
Right44(3(x0)) → A3(Right44(x0))
Right45(3(x0)) → A3(Right45(x0))
Right46(3(x0)) → A3(Right46(x0))
Right1(5(x0)) → A5(Right1(x0))
Right2(5(x0)) → A5(Right2(x0))
Right3(5(x0)) → A5(Right3(x0))
Right4(5(x0)) → A5(Right4(x0))
Right5(5(x0)) → A5(Right5(x0))
Right6(5(x0)) → A5(Right6(x0))
Right7(5(x0)) → A5(Right7(x0))
Right8(5(x0)) → A5(Right8(x0))
Right9(5(x0)) → A5(Right9(x0))
Right10(5(x0)) → A5(Right10(x0))
Right11(5(x0)) → A5(Right11(x0))
Right12(5(x0)) → A5(Right12(x0))
Right13(5(x0)) → A5(Right13(x0))
Right14(5(x0)) → A5(Right14(x0))
Right15(5(x0)) → A5(Right15(x0))
Right16(5(x0)) → A5(Right16(x0))
Right17(5(x0)) → A5(Right17(x0))
Right18(5(x0)) → A5(Right18(x0))
Right19(5(x0)) → A5(Right19(x0))
Right20(5(x0)) → A5(Right20(x0))
Right21(5(x0)) → A5(Right21(x0))
Right22(5(x0)) → A5(Right22(x0))
Right23(5(x0)) → A5(Right23(x0))
Right24(5(x0)) → A5(Right24(x0))
Right25(5(x0)) → A5(Right25(x0))
Right26(5(x0)) → A5(Right26(x0))
Right27(5(x0)) → A5(Right27(x0))
Right28(5(x0)) → A5(Right28(x0))
Right29(5(x0)) → A5(Right29(x0))
Right30(5(x0)) → A5(Right30(x0))
Right31(5(x0)) → A5(Right31(x0))
Right32(5(x0)) → A5(Right32(x0))
Right33(5(x0)) → A5(Right33(x0))
Right34(5(x0)) → A5(Right34(x0))
Right35(5(x0)) → A5(Right35(x0))
Right36(5(x0)) → A5(Right36(x0))
Right37(5(x0)) → A5(Right37(x0))
Right38(5(x0)) → A5(Right38(x0))
Right39(5(x0)) → A5(Right39(x0))
Right40(5(x0)) → A5(Right40(x0))
Right41(5(x0)) → A5(Right41(x0))
Right42(5(x0)) → A5(Right42(x0))
Right43(5(x0)) → A5(Right43(x0))
Right44(5(x0)) → A5(Right44(x0))
Right45(5(x0)) → A5(Right45(x0))
Right46(5(x0)) → A5(Right46(x0))
A0(Left(x0)) → Left(0(x0))
A4(Left(x0)) → Left(4(x0))
A1(Left(x0)) → Left(1(x0))
A2(Left(x0)) → Left(2(x0))
A3(Left(x0)) → Left(3(x0))
A5(Left(x0)) → Left(5(x0))
Wait(Left(x0)) → Begin(x0)
0(4(x0)) → 0(1(4(2(3(3(x0))))))
0(4(x0)) → 0(2(1(4(3(4(x0))))))
0(0(4(x0))) → 1(1(5(2(3(4(x0))))))
0(1(1(x0))) → 0(2(2(1(1(1(x0))))))
0(1(3(x0))) → 0(2(4(3(4(4(x0))))))
0(2(4(x0))) → 1(5(4(3(4(4(x0))))))
0(4(0(x0))) → 0(1(2(1(0(3(x0))))))
1(2(3(x0))) → 5(1(4(1(4(4(x0))))))
1(3(3(x0))) → 0(2(1(1(0(5(x0))))))
1(3(3(x0))) → 5(4(0(3(2(3(x0))))))
1(3(5(x0))) → 1(1(4(3(3(2(x0))))))
2(0(0(x0))) → 2(4(3(4(4(4(x0))))))
2(0(1(x0))) → 2(1(5(1(0(1(x0))))))
2(0(1(x0))) → 2(4(3(5(2(3(x0))))))
2(0(4(x0))) → 2(0(2(1(4(3(x0))))))
2(0(4(x0))) → 2(4(1(4(3(1(x0))))))
3(0(1(x0))) → 3(1(4(3(4(1(x0))))))
3(0(5(x0))) → 3(1(0(2(3(2(x0))))))
4(0(0(x0))) → 2(5(2(1(1(1(x0))))))
4(0(5(x0))) → 4(1(4(5(1(4(x0))))))
4(0(5(x0))) → 4(2(1(4(3(5(x0))))))
5(0(2(x0))) → 1(5(2(1(0(2(x0))))))
5(0(4(x0))) → 1(0(3(2(4(4(x0))))))
5(0(4(x0))) → 1(5(1(0(3(4(x0))))))

Proof

1 Termination Assumption

We assume termination of the following TRS
Begin(4(x0)) → Wait(Right1(x0))
Begin(4(x0)) → Wait(Right2(x0))
Begin(0(4(x0))) → Wait(Right3(x0))
Begin(4(x0)) → Wait(Right4(x0))
Begin(1(1(x0))) → Wait(Right5(x0))
Begin(1(x0)) → Wait(Right6(x0))
Begin(1(3(x0))) → Wait(Right7(x0))
Begin(3(x0)) → Wait(Right8(x0))
Begin(2(4(x0))) → Wait(Right9(x0))
Begin(4(x0)) → Wait(Right10(x0))
Begin(4(0(x0))) → Wait(Right11(x0))
Begin(0(x0)) → Wait(Right12(x0))
Begin(2(3(x0))) → Wait(Right13(x0))
Begin(3(x0)) → Wait(Right14(x0))
Begin(3(3(x0))) → Wait(Right15(x0))
Begin(3(x0)) → Wait(Right16(x0))
Begin(3(3(x0))) → Wait(Right17(x0))
Begin(3(x0)) → Wait(Right18(x0))
Begin(3(5(x0))) → Wait(Right19(x0))
Begin(5(x0)) → Wait(Right20(x0))
Begin(0(0(x0))) → Wait(Right21(x0))
Begin(0(x0)) → Wait(Right22(x0))
Begin(0(1(x0))) → Wait(Right23(x0))
Begin(1(x0)) → Wait(Right24(x0))
Begin(0(1(x0))) → Wait(Right25(x0))
Begin(1(x0)) → Wait(Right26(x0))
Begin(0(4(x0))) → Wait(Right27(x0))
Begin(4(x0)) → Wait(Right28(x0))
Begin(0(4(x0))) → Wait(Right29(x0))
Begin(4(x0)) → Wait(Right30(x0))
Begin(0(1(x0))) → Wait(Right31(x0))
Begin(1(x0)) → Wait(Right32(x0))
Begin(0(5(x0))) → Wait(Right33(x0))
Begin(5(x0)) → Wait(Right34(x0))
Begin(0(0(x0))) → Wait(Right35(x0))
Begin(0(x0)) → Wait(Right36(x0))
Begin(0(5(x0))) → Wait(Right37(x0))
Begin(5(x0)) → Wait(Right38(x0))
Begin(0(5(x0))) → Wait(Right39(x0))
Begin(5(x0)) → Wait(Right40(x0))
Begin(0(2(x0))) → Wait(Right41(x0))
Begin(2(x0)) → Wait(Right42(x0))
Begin(0(4(x0))) → Wait(Right43(x0))
Begin(4(x0)) → Wait(Right44(x0))
Begin(0(4(x0))) → Wait(Right45(x0))
Begin(4(x0)) → Wait(Right46(x0))
Right1(0(End(x0))) → Left(0(1(4(2(3(3(End(x0))))))))
Right2(0(End(x0))) → Left(0(2(1(4(3(4(End(x0))))))))
Right3(0(End(x0))) → Left(1(1(5(2(3(4(End(x0))))))))
Right4(0(0(End(x0)))) → Left(1(1(5(2(3(4(End(x0))))))))
Right5(0(End(x0))) → Left(0(2(2(1(1(1(End(x0))))))))
Right6(0(1(End(x0)))) → Left(0(2(2(1(1(1(End(x0))))))))
Right7(0(End(x0))) → Left(0(2(4(3(4(4(End(x0))))))))
Right8(0(1(End(x0)))) → Left(0(2(4(3(4(4(End(x0))))))))
Right9(0(End(x0))) → Left(1(5(4(3(4(4(End(x0))))))))
Right10(0(2(End(x0)))) → Left(1(5(4(3(4(4(End(x0))))))))
Right11(0(End(x0))) → Left(0(1(2(1(0(3(End(x0))))))))
Right12(0(4(End(x0)))) → Left(0(1(2(1(0(3(End(x0))))))))
Right13(1(End(x0))) → Left(5(1(4(1(4(4(End(x0))))))))
Right14(1(2(End(x0)))) → Left(5(1(4(1(4(4(End(x0))))))))
Right15(1(End(x0))) → Left(0(2(1(1(0(5(End(x0))))))))
Right16(1(3(End(x0)))) → Left(0(2(1(1(0(5(End(x0))))))))
Right17(1(End(x0))) → Left(5(4(0(3(2(3(End(x0))))))))
Right18(1(3(End(x0)))) → Left(5(4(0(3(2(3(End(x0))))))))
Right19(1(End(x0))) → Left(1(1(4(3(3(2(End(x0))))))))
Right20(1(3(End(x0)))) → Left(1(1(4(3(3(2(End(x0))))))))
Right21(2(End(x0))) → Left(2(4(3(4(4(4(End(x0))))))))
Right22(2(0(End(x0)))) → Left(2(4(3(4(4(4(End(x0))))))))
Right23(2(End(x0))) → Left(2(1(5(1(0(1(End(x0))))))))
Right24(2(0(End(x0)))) → Left(2(1(5(1(0(1(End(x0))))))))
Right25(2(End(x0))) → Left(2(4(3(5(2(3(End(x0))))))))
Right26(2(0(End(x0)))) → Left(2(4(3(5(2(3(End(x0))))))))
Right27(2(End(x0))) → Left(2(0(2(1(4(3(End(x0))))))))
Right28(2(0(End(x0)))) → Left(2(0(2(1(4(3(End(x0))))))))
Right29(2(End(x0))) → Left(2(4(1(4(3(1(End(x0))))))))
Right30(2(0(End(x0)))) → Left(2(4(1(4(3(1(End(x0))))))))
Right31(3(End(x0))) → Left(3(1(4(3(4(1(End(x0))))))))
Right32(3(0(End(x0)))) → Left(3(1(4(3(4(1(End(x0))))))))
Right33(3(End(x0))) → Left(3(1(0(2(3(2(End(x0))))))))
Right34(3(0(End(x0)))) → Left(3(1(0(2(3(2(End(x0))))))))
Right35(4(End(x0))) → Left(2(5(2(1(1(1(End(x0))))))))
Right36(4(0(End(x0)))) → Left(2(5(2(1(1(1(End(x0))))))))
Right37(4(End(x0))) → Left(4(1(4(5(1(4(End(x0))))))))
Right38(4(0(End(x0)))) → Left(4(1(4(5(1(4(End(x0))))))))
Right39(4(End(x0))) → Left(4(2(1(4(3(5(End(x0))))))))
Right40(4(0(End(x0)))) → Left(4(2(1(4(3(5(End(x0))))))))
Right41(5(End(x0))) → Left(1(5(2(1(0(2(End(x0))))))))
Right42(5(0(End(x0)))) → Left(1(5(2(1(0(2(End(x0))))))))
Right43(5(End(x0))) → Left(1(0(3(2(4(4(End(x0))))))))
Right44(5(0(End(x0)))) → Left(1(0(3(2(4(4(End(x0))))))))
Right45(5(End(x0))) → Left(1(5(1(0(3(4(End(x0))))))))
Right46(5(0(End(x0)))) → Left(1(5(1(0(3(4(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))
Right40(0(x0)) → A0(Right40(x0))
Right41(0(x0)) → A0(Right41(x0))
Right42(0(x0)) → A0(Right42(x0))
Right43(0(x0)) → A0(Right43(x0))
Right44(0(x0)) → A0(Right44(x0))
Right45(0(x0)) → A0(Right45(x0))
Right46(0(x0)) → A0(Right46(x0))
Right1(4(x0)) → A4(Right1(x0))
Right2(4(x0)) → A4(Right2(x0))
Right3(4(x0)) → A4(Right3(x0))
Right4(4(x0)) → A4(Right4(x0))
Right5(4(x0)) → A4(Right5(x0))
Right6(4(x0)) → A4(Right6(x0))
Right7(4(x0)) → A4(Right7(x0))
Right8(4(x0)) → A4(Right8(x0))
Right9(4(x0)) → A4(Right9(x0))
Right10(4(x0)) → A4(Right10(x0))
Right11(4(x0)) → A4(Right11(x0))
Right12(4(x0)) → A4(Right12(x0))
Right13(4(x0)) → A4(Right13(x0))
Right14(4(x0)) → A4(Right14(x0))
Right15(4(x0)) → A4(Right15(x0))
Right16(4(x0)) → A4(Right16(x0))
Right17(4(x0)) → A4(Right17(x0))
Right18(4(x0)) → A4(Right18(x0))
Right19(4(x0)) → A4(Right19(x0))
Right20(4(x0)) → A4(Right20(x0))
Right21(4(x0)) → A4(Right21(x0))
Right22(4(x0)) → A4(Right22(x0))
Right23(4(x0)) → A4(Right23(x0))
Right24(4(x0)) → A4(Right24(x0))
Right25(4(x0)) → A4(Right25(x0))
Right26(4(x0)) → A4(Right26(x0))
Right27(4(x0)) → A4(Right27(x0))
Right28(4(x0)) → A4(Right28(x0))
Right29(4(x0)) → A4(Right29(x0))
Right30(4(x0)) → A4(Right30(x0))
Right31(4(x0)) → A4(Right31(x0))
Right32(4(x0)) → A4(Right32(x0))
Right33(4(x0)) → A4(Right33(x0))
Right34(4(x0)) → A4(Right34(x0))
Right35(4(x0)) → A4(Right35(x0))
Right36(4(x0)) → A4(Right36(x0))
Right37(4(x0)) → A4(Right37(x0))
Right38(4(x0)) → A4(Right38(x0))
Right39(4(x0)) → A4(Right39(x0))
Right40(4(x0)) → A4(Right40(x0))
Right41(4(x0)) → A4(Right41(x0))
Right42(4(x0)) → A4(Right42(x0))
Right43(4(x0)) → A4(Right43(x0))
Right44(4(x0)) → A4(Right44(x0))
Right45(4(x0)) → A4(Right45(x0))
Right46(4(x0)) → A4(Right46(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))
Right40(1(x0)) → A1(Right40(x0))
Right41(1(x0)) → A1(Right41(x0))
Right42(1(x0)) → A1(Right42(x0))
Right43(1(x0)) → A1(Right43(x0))
Right44(1(x0)) → A1(Right44(x0))
Right45(1(x0)) → A1(Right45(x0))
Right46(1(x0)) → A1(Right46(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))
Right40(2(x0)) → A2(Right40(x0))
Right41(2(x0)) → A2(Right41(x0))
Right42(2(x0)) → A2(Right42(x0))
Right43(2(x0)) → A2(Right43(x0))
Right44(2(x0)) → A2(Right44(x0))
Right45(2(x0)) → A2(Right45(x0))
Right46(2(x0)) → A2(Right46(x0))
Right1(3(x0)) → A3(Right1(x0))
Right2(3(x0)) → A3(Right2(x0))
Right3(3(x0)) → A3(Right3(x0))
Right4(3(x0)) → A3(Right4(x0))
Right5(3(x0)) → A3(Right5(x0))
Right6(3(x0)) → A3(Right6(x0))
Right7(3(x0)) → A3(Right7(x0))
Right8(3(x0)) → A3(Right8(x0))
Right9(3(x0)) → A3(Right9(x0))
Right10(3(x0)) → A3(Right10(x0))
Right11(3(x0)) → A3(Right11(x0))
Right12(3(x0)) → A3(Right12(x0))
Right13(3(x0)) → A3(Right13(x0))
Right14(3(x0)) → A3(Right14(x0))
Right15(3(x0)) → A3(Right15(x0))
Right16(3(x0)) → A3(Right16(x0))
Right17(3(x0)) → A3(Right17(x0))
Right18(3(x0)) → A3(Right18(x0))
Right19(3(x0)) → A3(Right19(x0))
Right20(3(x0)) → A3(Right20(x0))
Right21(3(x0)) → A3(Right21(x0))
Right22(3(x0)) → A3(Right22(x0))
Right23(3(x0)) → A3(Right23(x0))
Right24(3(x0)) → A3(Right24(x0))
Right25(3(x0)) → A3(Right25(x0))
Right26(3(x0)) → A3(Right26(x0))
Right27(3(x0)) → A3(Right27(x0))
Right28(3(x0)) → A3(Right28(x0))
Right29(3(x0)) → A3(Right29(x0))
Right30(3(x0)) → A3(Right30(x0))
Right31(3(x0)) → A3(Right31(x0))
Right32(3(x0)) → A3(Right32(x0))
Right33(3(x0)) → A3(Right33(x0))
Right34(3(x0)) → A3(Right34(x0))
Right35(3(x0)) → A3(Right35(x0))
Right36(3(x0)) → A3(Right36(x0))
Right37(3(x0)) → A3(Right37(x0))
Right38(3(x0)) → A3(Right38(x0))
Right39(3(x0)) → A3(Right39(x0))
Right40(3(x0)) → A3(Right40(x0))
Right41(3(x0)) → A3(Right41(x0))
Right42(3(x0)) → A3(Right42(x0))
Right43(3(x0)) → A3(Right43(x0))
Right44(3(x0)) → A3(Right44(x0))
Right45(3(x0)) → A3(Right45(x0))
Right46(3(x0)) → A3(Right46(x0))
Right1(5(x0)) → A5(Right1(x0))
Right2(5(x0)) → A5(Right2(x0))
Right3(5(x0)) → A5(Right3(x0))
Right4(5(x0)) → A5(Right4(x0))
Right5(5(x0)) → A5(Right5(x0))
Right6(5(x0)) → A5(Right6(x0))
Right7(5(x0)) → A5(Right7(x0))
Right8(5(x0)) → A5(Right8(x0))
Right9(5(x0)) → A5(Right9(x0))
Right10(5(x0)) → A5(Right10(x0))
Right11(5(x0)) → A5(Right11(x0))
Right12(5(x0)) → A5(Right12(x0))
Right13(5(x0)) → A5(Right13(x0))
Right14(5(x0)) → A5(Right14(x0))
Right15(5(x0)) → A5(Right15(x0))
Right16(5(x0)) → A5(Right16(x0))
Right17(5(x0)) → A5(Right17(x0))
Right18(5(x0)) → A5(Right18(x0))
Right19(5(x0)) → A5(Right19(x0))
Right20(5(x0)) → A5(Right20(x0))
Right21(5(x0)) → A5(Right21(x0))
Right22(5(x0)) → A5(Right22(x0))
Right23(5(x0)) → A5(Right23(x0))
Right24(5(x0)) → A5(Right24(x0))
Right25(5(x0)) → A5(Right25(x0))
Right26(5(x0)) → A5(Right26(x0))
Right27(5(x0)) → A5(Right27(x0))
Right28(5(x0)) → A5(Right28(x0))
Right29(5(x0)) → A5(Right29(x0))
Right30(5(x0)) → A5(Right30(x0))
Right31(5(x0)) → A5(Right31(x0))
Right32(5(x0)) → A5(Right32(x0))
Right33(5(x0)) → A5(Right33(x0))
Right34(5(x0)) → A5(Right34(x0))
Right35(5(x0)) → A5(Right35(x0))
Right36(5(x0)) → A5(Right36(x0))
Right37(5(x0)) → A5(Right37(x0))
Right38(5(x0)) → A5(Right38(x0))
Right39(5(x0)) → A5(Right39(x0))
Right40(5(x0)) → A5(Right40(x0))
Right41(5(x0)) → A5(Right41(x0))
Right42(5(x0)) → A5(Right42(x0))
Right43(5(x0)) → A5(Right43(x0))
Right44(5(x0)) → A5(Right44(x0))
Right45(5(x0)) → A5(Right45(x0))
Right46(5(x0)) → A5(Right46(x0))
A0(Left(x0)) → Left(0(x0))
A4(Left(x0)) → Left(4(x0))
A1(Left(x0)) → Left(1(x0))
A2(Left(x0)) → Left(2(x0))
A3(Left(x0)) → Left(3(x0))
A5(Left(x0)) → Left(5(x0))
Wait(Left(x0)) → Begin(x0)
0(4(x0)) → 0(1(4(2(3(3(x0))))))
0(4(x0)) → 0(2(1(4(3(4(x0))))))
0(0(4(x0))) → 1(1(5(2(3(4(x0))))))
0(1(1(x0))) → 0(2(2(1(1(1(x0))))))
0(1(3(x0))) → 0(2(4(3(4(4(x0))))))
0(2(4(x0))) → 1(5(4(3(4(4(x0))))))
0(4(0(x0))) → 0(1(2(1(0(3(x0))))))
1(2(3(x0))) → 5(1(4(1(4(4(x0))))))
1(3(3(x0))) → 0(2(1(1(0(5(x0))))))
1(3(3(x0))) → 5(4(0(3(2(3(x0))))))
1(3(5(x0))) → 1(1(4(3(3(2(x0))))))
2(0(0(x0))) → 2(4(3(4(4(4(x0))))))
2(0(1(x0))) → 2(1(5(1(0(1(x0))))))
2(0(1(x0))) → 2(4(3(5(2(3(x0))))))
2(0(4(x0))) → 2(0(2(1(4(3(x0))))))
2(0(4(x0))) → 2(4(1(4(3(1(x0))))))
3(0(1(x0))) → 3(1(4(3(4(1(x0))))))
3(0(5(x0))) → 3(1(0(2(3(2(x0))))))
4(0(0(x0))) → 2(5(2(1(1(1(x0))))))
4(0(5(x0))) → 4(1(4(5(1(4(x0))))))
4(0(5(x0))) → 4(2(1(4(3(5(x0))))))
5(0(2(x0))) → 1(5(2(1(0(2(x0))))))
5(0(4(x0))) → 1(0(3(2(4(4(x0))))))
5(0(4(x0))) → 1(5(1(0(3(4(x0))))))