by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(h(x0)) | → | Wait(Right1(x0)) |
| Begin(s(s(s(x0)))) | → | Wait(Right2(x0)) |
| Begin(s(s(x0))) | → | Wait(Right3(x0)) |
| Begin(s(x0)) | → | Wait(Right4(x0)) |
| Begin(h(x0)) | → | Wait(Right5(x0)) |
| Begin(f(s(s(x0)))) | → | Wait(Right6(x0)) |
| Begin(s(s(x0))) | → | Wait(Right7(x0)) |
| Begin(s(x0)) | → | Wait(Right8(x0)) |
| Begin(a(x0)) | → | Wait(Right9(x0)) |
| Begin(a(a(x0))) | → | Wait(Right10(x0)) |
| Begin(a(x0)) | → | Wait(Right11(x0)) |
| Begin(b(b(b(x0)))) | → | Wait(Right12(x0)) |
| Begin(b(b(x0))) | → | Wait(Right13(x0)) |
| Begin(b(x0)) | → | Wait(Right14(x0)) |
| Right1(g(End(x0))) | → | Left(g(f(s(End(x0))))) |
| Right2(f(End(x0))) | → | Left(h(f(s(h(End(x0)))))) |
| Right3(f(s(End(x0)))) | → | Left(h(f(s(h(End(x0)))))) |
| Right4(f(s(s(End(x0))))) | → | Left(h(f(s(h(End(x0)))))) |
| Right5(f(End(x0))) | → | Left(h(f(s(h(End(x0)))))) |
| Right6(f(End(x0))) | → | Left(s(s(s(f(f(End(x0))))))) |
| Right7(f(f(End(x0)))) | → | Left(s(s(s(f(f(End(x0))))))) |
| Right8(f(f(s(End(x0))))) | → | Left(s(s(s(f(f(End(x0))))))) |
| Right9(b(End(x0))) | → | Left(a(b(End(x0)))) |
| Right10(a(End(x0))) | → | Left(b(a(a(b(End(x0)))))) |
| Right11(a(a(End(x0)))) | → | Left(b(a(a(b(End(x0)))))) |
| Right12(b(End(x0))) | → | Left(a(End(x0))) |
| Right13(b(b(End(x0)))) | → | Left(a(End(x0))) |
| Right14(b(b(b(End(x0))))) | → | Left(a(End(x0))) |
| Right1(g(x0)) | → | Ag(Right1(x0)) |
| Right2(g(x0)) | → | Ag(Right2(x0)) |
| Right3(g(x0)) | → | Ag(Right3(x0)) |
| Right4(g(x0)) | → | Ag(Right4(x0)) |
| Right5(g(x0)) | → | Ag(Right5(x0)) |
| Right6(g(x0)) | → | Ag(Right6(x0)) |
| Right7(g(x0)) | → | Ag(Right7(x0)) |
| Right8(g(x0)) | → | Ag(Right8(x0)) |
| Right9(g(x0)) | → | Ag(Right9(x0)) |
| Right10(g(x0)) | → | Ag(Right10(x0)) |
| Right11(g(x0)) | → | Ag(Right11(x0)) |
| Right12(g(x0)) | → | Ag(Right12(x0)) |
| Right13(g(x0)) | → | Ag(Right13(x0)) |
| Right14(g(x0)) | → | Ag(Right14(x0)) |
| Right1(h(x0)) | → | Ah(Right1(x0)) |
| Right2(h(x0)) | → | Ah(Right2(x0)) |
| Right3(h(x0)) | → | Ah(Right3(x0)) |
| Right4(h(x0)) | → | Ah(Right4(x0)) |
| Right5(h(x0)) | → | Ah(Right5(x0)) |
| Right6(h(x0)) | → | Ah(Right6(x0)) |
| Right7(h(x0)) | → | Ah(Right7(x0)) |
| Right8(h(x0)) | → | Ah(Right8(x0)) |
| Right9(h(x0)) | → | Ah(Right9(x0)) |
| Right10(h(x0)) | → | Ah(Right10(x0)) |
| Right11(h(x0)) | → | Ah(Right11(x0)) |
| Right12(h(x0)) | → | Ah(Right12(x0)) |
| Right13(h(x0)) | → | Ah(Right13(x0)) |
| Right14(h(x0)) | → | Ah(Right14(x0)) |
| Right1(f(x0)) | → | Af(Right1(x0)) |
| Right2(f(x0)) | → | Af(Right2(x0)) |
| Right3(f(x0)) | → | Af(Right3(x0)) |
| Right4(f(x0)) | → | Af(Right4(x0)) |
| Right5(f(x0)) | → | Af(Right5(x0)) |
| Right6(f(x0)) | → | Af(Right6(x0)) |
| Right7(f(x0)) | → | Af(Right7(x0)) |
| Right8(f(x0)) | → | Af(Right8(x0)) |
| Right9(f(x0)) | → | Af(Right9(x0)) |
| Right10(f(x0)) | → | Af(Right10(x0)) |
| Right11(f(x0)) | → | Af(Right11(x0)) |
| Right12(f(x0)) | → | Af(Right12(x0)) |
| Right13(f(x0)) | → | Af(Right13(x0)) |
| Right14(f(x0)) | → | Af(Right14(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)) |
| 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)) |
| 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)) |
| Ag(Left(x0)) | → | Left(g(x0)) |
| Ah(Left(x0)) | → | Left(h(x0)) |
| Af(Left(x0)) | → | Left(f(x0)) |
| As(Left(x0)) | → | Left(s(x0)) |
| Ab(Left(x0)) | → | Left(b(x0)) |
| Aa(Left(x0)) | → | Left(a(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| g(h(x0)) | → | g(f(s(x0))) |
| f(s(s(s(x0)))) | → | h(f(s(h(x0)))) |
| f(h(x0)) | → | h(f(s(h(x0)))) |
| h(x0) | → | x0 |
| f(f(s(s(x0)))) | → | s(s(s(f(f(x0))))) |
| b(a(x0)) | → | a(b(x0)) |
| a(a(a(x0))) | → | b(a(a(b(x0)))) |
| b(b(b(b(x0)))) | → | a(x0) |
| t0 | = | Begin(a(b(End(x66825)))) |
| →ε | Wait(Right9(b(End(x66825)))) | |
| →1 | Wait(Left(a(b(End(x66825))))) | |
| →ε | Begin(a(b(End(x66825)))) | |
| = | t3 |