NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
Begin(s(x0)) | → | Wait(Right1(x0)) |
Begin(a(b(s(x0)))) | → | Wait(Right2(x0)) |
Begin(b(s(x0))) | → | Wait(Right3(x0)) |
Begin(s(x0)) | → | Wait(Right4(x0)) |
Begin(a(b(b(x0)))) | → | Wait(Right5(x0)) |
Begin(b(b(x0))) | → | Wait(Right6(x0)) |
Begin(b(x0)) | → | Wait(Right7(x0)) |
Begin(s(x0)) | → | Wait(Right8(x0)) |
Begin(b(a(a(x0)))) | → | Wait(Right9(x0)) |
Begin(a(a(x0))) | → | Wait(Right10(x0)) |
Begin(a(x0)) | → | Wait(Right11(x0)) |
Right1(a(End(x0))) | → | Left(s(a(End(x0)))) |
Right2(b(End(x0))) | → | Left(a(b(s(a(End(x0)))))) |
Right3(b(a(End(x0)))) | → | Left(a(b(s(a(End(x0)))))) |
Right4(b(a(b(End(x0))))) | → | Left(a(b(s(a(End(x0)))))) |
Right5(b(End(x0))) | → | Left(c(s(End(x0)))) |
Right6(b(a(End(x0)))) | → | Left(c(s(End(x0)))) |
Right7(b(a(b(End(x0))))) | → | Left(c(s(End(x0)))) |
Right8(c(End(x0))) | → | Left(a(b(a(b(End(x0)))))) |
Right9(a(End(x0))) | → | Left(b(a(b(a(End(x0)))))) |
Right10(a(b(End(x0)))) | → | Left(b(a(b(a(End(x0)))))) |
Right11(a(b(a(End(x0))))) | → | Left(b(a(b(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)) |
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)) |
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)) |
Right1(c(x0)) | → | Ac(Right1(x0)) |
Right2(c(x0)) | → | Ac(Right2(x0)) |
Right3(c(x0)) | → | Ac(Right3(x0)) |
Right4(c(x0)) | → | Ac(Right4(x0)) |
Right5(c(x0)) | → | Ac(Right5(x0)) |
Right6(c(x0)) | → | Ac(Right6(x0)) |
Right7(c(x0)) | → | Ac(Right7(x0)) |
Right8(c(x0)) | → | Ac(Right8(x0)) |
Right9(c(x0)) | → | Ac(Right9(x0)) |
Right10(c(x0)) | → | Ac(Right10(x0)) |
Right11(c(x0)) | → | Ac(Right11(x0)) |
Aa(Left(x0)) | → | Left(a(x0)) |
As(Left(x0)) | → | Left(s(x0)) |
Ab(Left(x0)) | → | Left(b(x0)) |
Ac(Left(x0)) | → | Left(c(x0)) |
Wait(Left(x0)) | → | Begin(x0) |
a(s(x0)) | → | s(a(x0)) |
b(a(b(s(x0)))) | → | a(b(s(a(x0)))) |
b(a(b(b(x0)))) | → | c(s(x0)) |
c(s(x0)) | → | a(b(a(b(x0)))) |
a(b(a(a(x0)))) | → | b(a(b(a(x0)))) |
t0 | = | Begin(s(a(End(x14756)))) |
→ε | Wait(Right1(a(End(x14756)))) | |
→1 | Wait(Left(s(a(End(x14756))))) | |
→ε | Begin(s(a(End(x14756)))) | |
= | t3 |