NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
Begin(b(x0)) | → | Wait(Right1(x0)) |
Begin(b(s(x0))) | → | Wait(Right2(x0)) |
Begin(s(x0)) | → | Wait(Right3(x0)) |
Begin(b(x0)) | → | Wait(Right4(x0)) |
Begin(b(s(x0))) | → | Wait(Right5(x0)) |
Begin(s(x0)) | → | Wait(Right6(x0)) |
Begin(u(x0)) | → | Wait(Right7(x0)) |
Begin(s(x0)) | → | Wait(Right8(x0)) |
Begin(u(x0)) | → | Wait(Right9(x0)) |
Begin(u(x0)) | → | Wait(Right10(x0)) |
Right1(s(End(x0))) | → | Left(b(s(s(s(End(x0)))))) |
Right2(s(End(x0))) | → | Left(b(t(End(x0)))) |
Right3(s(b(End(x0)))) | → | Left(b(t(End(x0)))) |
Right4(t(End(x0))) | → | Left(b(s(End(x0)))) |
Right5(t(End(x0))) | → | Left(u(t(b(End(x0))))) |
Right6(t(b(End(x0)))) | → | Left(u(t(b(End(x0))))) |
Right7(b(End(x0))) | → | Left(b(s(End(x0)))) |
Right8(t(End(x0))) | → | Left(t(t(End(x0)))) |
Right9(t(End(x0))) | → | Left(u(t(End(x0)))) |
Right10(s(End(x0))) | → | Left(s(s(End(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)) |
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)) |
Right1(t(x0)) | → | At(Right1(x0)) |
Right2(t(x0)) | → | At(Right2(x0)) |
Right3(t(x0)) | → | At(Right3(x0)) |
Right4(t(x0)) | → | At(Right4(x0)) |
Right5(t(x0)) | → | At(Right5(x0)) |
Right6(t(x0)) | → | At(Right6(x0)) |
Right7(t(x0)) | → | At(Right7(x0)) |
Right8(t(x0)) | → | At(Right8(x0)) |
Right9(t(x0)) | → | At(Right9(x0)) |
Right10(t(x0)) | → | At(Right10(x0)) |
Right1(u(x0)) | → | Au(Right1(x0)) |
Right2(u(x0)) | → | Au(Right2(x0)) |
Right3(u(x0)) | → | Au(Right3(x0)) |
Right4(u(x0)) | → | Au(Right4(x0)) |
Right5(u(x0)) | → | Au(Right5(x0)) |
Right6(u(x0)) | → | Au(Right6(x0)) |
Right7(u(x0)) | → | Au(Right7(x0)) |
Right8(u(x0)) | → | Au(Right8(x0)) |
Right9(u(x0)) | → | Au(Right9(x0)) |
Right10(u(x0)) | → | Au(Right10(x0)) |
As(Left(x0)) | → | Left(s(x0)) |
Ab(Left(x0)) | → | Left(b(x0)) |
At(Left(x0)) | → | Left(t(x0)) |
Au(Left(x0)) | → | Left(u(x0)) |
Wait(Left(x0)) | → | Begin(x0) |
s(b(x0)) | → | b(s(s(s(x0)))) |
s(b(s(x0))) | → | b(t(x0)) |
t(b(x0)) | → | b(s(x0)) |
t(b(s(x0))) | → | u(t(b(x0))) |
b(u(x0)) | → | b(s(x0)) |
t(s(x0)) | → | t(t(x0)) |
t(u(x0)) | → | u(t(x0)) |
s(u(x0)) | → | s(s(x0)) |
t0 | = | Begin(u(t(End(x24036)))) |
→ε | Wait(Right9(t(End(x24036)))) | |
→1 | Wait(Left(u(t(End(x24036))))) | |
→ε | Begin(u(t(End(x24036)))) | |
= | t3 |