NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
Begin(b(c(a(x0)))) | → | Wait(Right1(x0)) |
Begin(c(a(x0))) | → | Wait(Right2(x0)) |
Begin(a(x0)) | → | Wait(Right3(x0)) |
Begin(f(f(x0))) | → | Wait(Right4(x0)) |
Begin(f(x0)) | → | Wait(Right5(x0)) |
Begin(g(x0)) | → | Wait(Right6(x0)) |
Begin(a(c(x0))) | → | Wait(Right7(x0)) |
Begin(c(x0)) | → | Wait(Right8(x0)) |
Right1(a(End(x0))) | → | Left(b(a(c(b(a(b(End(x0)))))))) |
Right2(a(b(End(x0)))) | → | Left(b(a(c(b(a(b(End(x0)))))))) |
Right3(a(b(c(End(x0))))) | → | Left(b(a(c(b(a(b(End(x0)))))))) |
Right4(a(End(x0))) | → | Left(g(End(x0))) |
Right5(a(f(End(x0)))) | → | Left(g(End(x0))) |
Right6(b(End(x0))) | → | Left(g(b(End(x0)))) |
Right7(c(End(x0))) | → | Left(b(c(a(b(c(End(x0))))))) |
Right8(c(a(End(x0)))) | → | Left(b(c(a(b(c(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)) |
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)) |
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)) |
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)) |
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)) |
Aa(Left(x0)) | → | Left(a(x0)) |
Ab(Left(x0)) | → | Left(b(x0)) |
Ac(Left(x0)) | → | Left(c(x0)) |
Af(Left(x0)) | → | Left(f(x0)) |
Ag(Left(x0)) | → | Left(g(x0)) |
Wait(Left(x0)) | → | Begin(x0) |
a(b(c(a(x0)))) | → | b(a(c(b(a(b(x0)))))) |
a(f(f(x0))) | → | g(x0) |
b(g(x0)) | → | g(b(x0)) |
c(x0) | → | f(f(x0)) |
c(a(c(x0))) | → | b(c(a(b(c(x0))))) |
g(x0) | → | c(a(x0)) |
t0 | = | Begin(g(b(End(x20006)))) |
→ε | Wait(Right6(b(End(x20006)))) | |
→1 | Wait(Left(g(b(End(x20006))))) | |
→ε | Begin(g(b(End(x20006)))) | |
= | t3 |