by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(a12(a34(a34(x0)))) | → | Wait(Right1(x0)) |
| Begin(a34(a34(x0))) | → | Wait(Right2(x0)) |
| Begin(a34(x0)) | → | Wait(Right3(x0)) |
| Begin(a12(a45(a45(x0)))) | → | Wait(Right4(x0)) |
| Begin(a45(a45(x0))) | → | Wait(Right5(x0)) |
| Begin(a45(x0)) | → | Wait(Right6(x0)) |
| Begin(a12(a56(a56(x0)))) | → | Wait(Right7(x0)) |
| Begin(a56(a56(x0))) | → | Wait(Right8(x0)) |
| Begin(a56(x0)) | → | Wait(Right9(x0)) |
| Begin(a23(a45(a45(x0)))) | → | Wait(Right10(x0)) |
| Begin(a45(a45(x0))) | → | Wait(Right11(x0)) |
| Begin(a45(x0)) | → | Wait(Right12(x0)) |
| Begin(a23(a56(a56(x0)))) | → | Wait(Right13(x0)) |
| Begin(a56(a56(x0))) | → | Wait(Right14(x0)) |
| Begin(a56(x0)) | → | Wait(Right15(x0)) |
| Begin(a34(a56(a56(x0)))) | → | Wait(Right16(x0)) |
| Begin(a56(a56(x0))) | → | Wait(Right17(x0)) |
| Begin(a56(x0)) | → | Wait(Right18(x0)) |
| Right1(a12(End(x0))) | → | Left(a34(a34(a12(a12(End(x0)))))) |
| Right2(a12(a12(End(x0)))) | → | Left(a34(a34(a12(a12(End(x0)))))) |
| Right3(a12(a12(a34(End(x0))))) | → | Left(a34(a34(a12(a12(End(x0)))))) |
| Right4(a12(End(x0))) | → | Left(a45(a45(a12(a12(End(x0)))))) |
| Right5(a12(a12(End(x0)))) | → | Left(a45(a45(a12(a12(End(x0)))))) |
| Right6(a12(a12(a45(End(x0))))) | → | Left(a45(a45(a12(a12(End(x0)))))) |
| Right7(a12(End(x0))) | → | Left(a56(a56(a12(a12(End(x0)))))) |
| Right8(a12(a12(End(x0)))) | → | Left(a56(a56(a12(a12(End(x0)))))) |
| Right9(a12(a12(a56(End(x0))))) | → | Left(a56(a56(a12(a12(End(x0)))))) |
| Right10(a23(End(x0))) | → | Left(a45(a45(a23(a23(End(x0)))))) |
| Right11(a23(a23(End(x0)))) | → | Left(a45(a45(a23(a23(End(x0)))))) |
| Right12(a23(a23(a45(End(x0))))) | → | Left(a45(a45(a23(a23(End(x0)))))) |
| Right13(a23(End(x0))) | → | Left(a56(a56(a23(a23(End(x0)))))) |
| Right14(a23(a23(End(x0)))) | → | Left(a56(a56(a23(a23(End(x0)))))) |
| Right15(a23(a23(a56(End(x0))))) | → | Left(a56(a56(a23(a23(End(x0)))))) |
| Right16(a34(End(x0))) | → | Left(a56(a56(a34(a34(End(x0)))))) |
| Right17(a34(a34(End(x0)))) | → | Left(a56(a56(a34(a34(End(x0)))))) |
| Right18(a34(a34(a56(End(x0))))) | → | Left(a56(a56(a34(a34(End(x0)))))) |
| Right1(a12(x0)) | → | Aa12(Right1(x0)) |
| Right2(a12(x0)) | → | Aa12(Right2(x0)) |
| Right3(a12(x0)) | → | Aa12(Right3(x0)) |
| Right4(a12(x0)) | → | Aa12(Right4(x0)) |
| Right5(a12(x0)) | → | Aa12(Right5(x0)) |
| Right6(a12(x0)) | → | Aa12(Right6(x0)) |
| Right7(a12(x0)) | → | Aa12(Right7(x0)) |
| Right8(a12(x0)) | → | Aa12(Right8(x0)) |
| Right9(a12(x0)) | → | Aa12(Right9(x0)) |
| Right10(a12(x0)) | → | Aa12(Right10(x0)) |
| Right11(a12(x0)) | → | Aa12(Right11(x0)) |
| Right12(a12(x0)) | → | Aa12(Right12(x0)) |
| Right13(a12(x0)) | → | Aa12(Right13(x0)) |
| Right14(a12(x0)) | → | Aa12(Right14(x0)) |
| Right15(a12(x0)) | → | Aa12(Right15(x0)) |
| Right16(a12(x0)) | → | Aa12(Right16(x0)) |
| Right17(a12(x0)) | → | Aa12(Right17(x0)) |
| Right18(a12(x0)) | → | Aa12(Right18(x0)) |
| Right1(a34(x0)) | → | Aa34(Right1(x0)) |
| Right2(a34(x0)) | → | Aa34(Right2(x0)) |
| Right3(a34(x0)) | → | Aa34(Right3(x0)) |
| Right4(a34(x0)) | → | Aa34(Right4(x0)) |
| Right5(a34(x0)) | → | Aa34(Right5(x0)) |
| Right6(a34(x0)) | → | Aa34(Right6(x0)) |
| Right7(a34(x0)) | → | Aa34(Right7(x0)) |
| Right8(a34(x0)) | → | Aa34(Right8(x0)) |
| Right9(a34(x0)) | → | Aa34(Right9(x0)) |
| Right10(a34(x0)) | → | Aa34(Right10(x0)) |
| Right11(a34(x0)) | → | Aa34(Right11(x0)) |
| Right12(a34(x0)) | → | Aa34(Right12(x0)) |
| Right13(a34(x0)) | → | Aa34(Right13(x0)) |
| Right14(a34(x0)) | → | Aa34(Right14(x0)) |
| Right15(a34(x0)) | → | Aa34(Right15(x0)) |
| Right16(a34(x0)) | → | Aa34(Right16(x0)) |
| Right17(a34(x0)) | → | Aa34(Right17(x0)) |
| Right18(a34(x0)) | → | Aa34(Right18(x0)) |
| Right1(a45(x0)) | → | Aa45(Right1(x0)) |
| Right2(a45(x0)) | → | Aa45(Right2(x0)) |
| Right3(a45(x0)) | → | Aa45(Right3(x0)) |
| Right4(a45(x0)) | → | Aa45(Right4(x0)) |
| Right5(a45(x0)) | → | Aa45(Right5(x0)) |
| Right6(a45(x0)) | → | Aa45(Right6(x0)) |
| Right7(a45(x0)) | → | Aa45(Right7(x0)) |
| Right8(a45(x0)) | → | Aa45(Right8(x0)) |
| Right9(a45(x0)) | → | Aa45(Right9(x0)) |
| Right10(a45(x0)) | → | Aa45(Right10(x0)) |
| Right11(a45(x0)) | → | Aa45(Right11(x0)) |
| Right12(a45(x0)) | → | Aa45(Right12(x0)) |
| Right13(a45(x0)) | → | Aa45(Right13(x0)) |
| Right14(a45(x0)) | → | Aa45(Right14(x0)) |
| Right15(a45(x0)) | → | Aa45(Right15(x0)) |
| Right16(a45(x0)) | → | Aa45(Right16(x0)) |
| Right17(a45(x0)) | → | Aa45(Right17(x0)) |
| Right18(a45(x0)) | → | Aa45(Right18(x0)) |
| Right1(a56(x0)) | → | Aa56(Right1(x0)) |
| Right2(a56(x0)) | → | Aa56(Right2(x0)) |
| Right3(a56(x0)) | → | Aa56(Right3(x0)) |
| Right4(a56(x0)) | → | Aa56(Right4(x0)) |
| Right5(a56(x0)) | → | Aa56(Right5(x0)) |
| Right6(a56(x0)) | → | Aa56(Right6(x0)) |
| Right7(a56(x0)) | → | Aa56(Right7(x0)) |
| Right8(a56(x0)) | → | Aa56(Right8(x0)) |
| Right9(a56(x0)) | → | Aa56(Right9(x0)) |
| Right10(a56(x0)) | → | Aa56(Right10(x0)) |
| Right11(a56(x0)) | → | Aa56(Right11(x0)) |
| Right12(a56(x0)) | → | Aa56(Right12(x0)) |
| Right13(a56(x0)) | → | Aa56(Right13(x0)) |
| Right14(a56(x0)) | → | Aa56(Right14(x0)) |
| Right15(a56(x0)) | → | Aa56(Right15(x0)) |
| Right16(a56(x0)) | → | Aa56(Right16(x0)) |
| Right17(a56(x0)) | → | Aa56(Right17(x0)) |
| Right18(a56(x0)) | → | Aa56(Right18(x0)) |
| Right1(a23(x0)) | → | Aa23(Right1(x0)) |
| Right2(a23(x0)) | → | Aa23(Right2(x0)) |
| Right3(a23(x0)) | → | Aa23(Right3(x0)) |
| Right4(a23(x0)) | → | Aa23(Right4(x0)) |
| Right5(a23(x0)) | → | Aa23(Right5(x0)) |
| Right6(a23(x0)) | → | Aa23(Right6(x0)) |
| Right7(a23(x0)) | → | Aa23(Right7(x0)) |
| Right8(a23(x0)) | → | Aa23(Right8(x0)) |
| Right9(a23(x0)) | → | Aa23(Right9(x0)) |
| Right10(a23(x0)) | → | Aa23(Right10(x0)) |
| Right11(a23(x0)) | → | Aa23(Right11(x0)) |
| Right12(a23(x0)) | → | Aa23(Right12(x0)) |
| Right13(a23(x0)) | → | Aa23(Right13(x0)) |
| Right14(a23(x0)) | → | Aa23(Right14(x0)) |
| Right15(a23(x0)) | → | Aa23(Right15(x0)) |
| Right16(a23(x0)) | → | Aa23(Right16(x0)) |
| Right17(a23(x0)) | → | Aa23(Right17(x0)) |
| Right18(a23(x0)) | → | Aa23(Right18(x0)) |
| Aa12(Left(x0)) | → | Left(a12(x0)) |
| Aa34(Left(x0)) | → | Left(a34(x0)) |
| Aa45(Left(x0)) | → | Left(a45(x0)) |
| Aa56(Left(x0)) | → | Left(a56(x0)) |
| Aa23(Left(x0)) | → | Left(a23(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| a12(a12(a34(a34(x0)))) | → | a34(a34(a12(a12(x0)))) |
| a12(a12(a45(a45(x0)))) | → | a45(a45(a12(a12(x0)))) |
| a12(a12(a56(a56(x0)))) | → | a56(a56(a12(a12(x0)))) |
| a23(a23(a45(a45(x0)))) | → | a45(a45(a23(a23(x0)))) |
| a23(a23(a56(a56(x0)))) | → | a56(a56(a23(a23(x0)))) |
| a34(a34(a56(a56(x0)))) | → | a56(a56(a34(a34(x0)))) |
| t0 | = | Begin(a34(a34(a12(a12(End(x53012)))))) |
| →ε | Wait(Right2(a12(a12(End(x53012))))) | |
| →1 | Wait(Left(a34(a34(a12(a12(End(x53012))))))) | |
| →ε | Begin(a34(a34(a12(a12(End(x53012)))))) | |
| = | t3 |