by ttt2 (version ttt2 1.15)
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)) |
| 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)))))))))))))))))))))))))))))) |
| 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)) |
| 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)) |
| 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)) |
| 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)))))))))))))))))))))))))))) |
| 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)) |
| 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)))))))))))))))))))))))))))))) |
| 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)) |
| 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)) |
| 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)) |
| 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)))))))))))))))))))))))))))) |