by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(a(s(s(x0)))) | → | Wait(Right1(x0)) |
| Begin(s(s(x0))) | → | Wait(Right2(x0)) |
| Begin(s(x0)) | → | Wait(Right3(x0)) |
| Begin(b(a(a(b(b(s(s(x0)))))))) | → | Wait(Right4(x0)) |
| Begin(a(a(b(b(s(s(x0))))))) | → | Wait(Right5(x0)) |
| Begin(a(b(b(s(s(x0)))))) | → | Wait(Right6(x0)) |
| Begin(b(b(s(s(x0))))) | → | Wait(Right7(x0)) |
| Begin(b(s(s(x0)))) | → | Wait(Right8(x0)) |
| Begin(s(s(x0))) | → | Wait(Right9(x0)) |
| Begin(s(x0)) | → | Wait(Right10(x0)) |
| Begin(b(a(a(b(b(b(b(x0)))))))) | → | Wait(Right11(x0)) |
| Begin(a(a(b(b(b(b(x0))))))) | → | Wait(Right12(x0)) |
| Begin(a(b(b(b(b(x0)))))) | → | Wait(Right13(x0)) |
| Begin(b(b(b(b(x0))))) | → | Wait(Right14(x0)) |
| Begin(b(b(b(x0)))) | → | Wait(Right15(x0)) |
| Begin(b(b(x0))) | → | Wait(Right16(x0)) |
| Begin(b(x0)) | → | Wait(Right17(x0)) |
| Begin(a(b(b(a(a(a(a(x0)))))))) | → | Wait(Right18(x0)) |
| Begin(b(b(a(a(a(a(x0))))))) | → | Wait(Right19(x0)) |
| Begin(b(a(a(a(a(x0)))))) | → | Wait(Right20(x0)) |
| Begin(a(a(a(a(x0))))) | → | Wait(Right21(x0)) |
| Begin(a(a(a(x0)))) | → | Wait(Right22(x0)) |
| Begin(a(a(x0))) | → | Wait(Right23(x0)) |
| Begin(a(x0)) | → | Wait(Right24(x0)) |
| Right1(a(End(x0))) | → | Left(s(s(a(a(End(x0)))))) |
| Right2(a(a(End(x0)))) | → | Left(s(s(a(a(End(x0)))))) |
| Right3(a(a(s(End(x0))))) | → | Left(s(s(a(a(End(x0)))))) |
| Right4(b(End(x0))) | → | Left(a(a(b(b(s(s(a(a(End(x0)))))))))) |
| Right5(b(b(End(x0)))) | → | Left(a(a(b(b(s(s(a(a(End(x0)))))))))) |
| Right6(b(b(a(End(x0))))) | → | Left(a(a(b(b(s(s(a(a(End(x0)))))))))) |
| Right7(b(b(a(a(End(x0)))))) | → | Left(a(a(b(b(s(s(a(a(End(x0)))))))))) |
| Right8(b(b(a(a(b(End(x0))))))) | → | Left(a(a(b(b(s(s(a(a(End(x0)))))))))) |
| Right9(b(b(a(a(b(b(End(x0)))))))) | → | Left(a(a(b(b(s(s(a(a(End(x0)))))))))) |
| Right10(b(b(a(a(b(b(s(End(x0))))))))) | → | Left(a(a(b(b(s(s(a(a(End(x0)))))))))) |
| Right11(b(End(x0))) | → | Left(a(a(b(b(a(a(b(b(End(x0)))))))))) |
| Right12(b(b(End(x0)))) | → | Left(a(a(b(b(a(a(b(b(End(x0)))))))))) |
| Right13(b(b(a(End(x0))))) | → | Left(a(a(b(b(a(a(b(b(End(x0)))))))))) |
| Right14(b(b(a(a(End(x0)))))) | → | Left(a(a(b(b(a(a(b(b(End(x0)))))))))) |
| Right15(b(b(a(a(b(End(x0))))))) | → | Left(a(a(b(b(a(a(b(b(End(x0)))))))))) |
| Right16(b(b(a(a(b(b(End(x0)))))))) | → | Left(a(a(b(b(a(a(b(b(End(x0)))))))))) |
| Right17(b(b(a(a(b(b(b(End(x0))))))))) | → | Left(a(a(b(b(a(a(b(b(End(x0)))))))))) |
| Right18(a(End(x0))) | → | Left(b(b(a(a(b(b(a(a(End(x0)))))))))) |
| Right19(a(a(End(x0)))) | → | Left(b(b(a(a(b(b(a(a(End(x0)))))))))) |
| Right20(a(a(b(End(x0))))) | → | Left(b(b(a(a(b(b(a(a(End(x0)))))))))) |
| Right21(a(a(b(b(End(x0)))))) | → | Left(b(b(a(a(b(b(a(a(End(x0)))))))))) |
| Right22(a(a(b(b(a(End(x0))))))) | → | Left(b(b(a(a(b(b(a(a(End(x0)))))))))) |
| Right23(a(a(b(b(a(a(End(x0)))))))) | → | Left(b(b(a(a(b(b(a(a(End(x0)))))))))) |
| Right24(a(a(b(b(a(a(a(End(x0))))))))) | → | Left(b(b(a(a(b(b(a(a(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)) |
| Right1(s(x0)) | → | As(Right1(x0)) |
| Right2(s(x0)) | → | As(Right2(x0)) |
| Right3(s(x0)) | → | As(Right3(x0)) |
| Right4(s(x0)) | → | As(Right4(x0)) |
| Right5(s(x0)) | → | As(Right5(x0)) |
| Right6(s(x0)) | → | As(Right6(x0)) |
| Right7(s(x0)) | → | As(Right7(x0)) |
| Right8(s(x0)) | → | As(Right8(x0)) |
| Right9(s(x0)) | → | As(Right9(x0)) |
| Right10(s(x0)) | → | As(Right10(x0)) |
| Right11(s(x0)) | → | As(Right11(x0)) |
| Right12(s(x0)) | → | As(Right12(x0)) |
| Right13(s(x0)) | → | As(Right13(x0)) |
| Right14(s(x0)) | → | As(Right14(x0)) |
| Right15(s(x0)) | → | As(Right15(x0)) |
| Right16(s(x0)) | → | As(Right16(x0)) |
| Right17(s(x0)) | → | As(Right17(x0)) |
| Right18(s(x0)) | → | As(Right18(x0)) |
| Right19(s(x0)) | → | As(Right19(x0)) |
| Right20(s(x0)) | → | As(Right20(x0)) |
| Right21(s(x0)) | → | As(Right21(x0)) |
| Right22(s(x0)) | → | As(Right22(x0)) |
| Right23(s(x0)) | → | As(Right23(x0)) |
| Right24(s(x0)) | → | As(Right24(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)) |
| Aa(Left(x0)) | → | Left(a(x0)) |
| As(Left(x0)) | → | Left(s(x0)) |
| Ab(Left(x0)) | → | Left(b(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| a(a(s(s(x0)))) | → | s(s(a(a(x0)))) |
| b(b(a(a(b(b(s(s(x0)))))))) | → | a(a(b(b(s(s(a(a(x0)))))))) |
| b(b(a(a(b(b(b(b(x0)))))))) | → | a(a(b(b(a(a(b(b(x0)))))))) |
| a(a(b(b(a(a(a(a(x0)))))))) | → | b(b(a(a(b(b(a(a(x0)))))))) |
| t0 | = | Begin(s(s(a(a(End(x60698)))))) |
| →ε | Wait(Right2(a(a(End(x60698))))) | |
| →1 | Wait(Left(s(s(a(a(End(x60698))))))) | |
| →ε | Begin(s(s(a(a(End(x60698)))))) | |
| = | t3 |