NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
Begin(a(a(x0))) | → | Wait(Right1(x0)) |
Begin(a(x0)) | → | Wait(Right2(x0)) |
Begin(c(x0)) | → | Wait(Right3(x0)) |
Right1(a(End(x0))) | → | Left(b(End(x0))) |
Right2(a(a(End(x0)))) | → | Left(b(End(x0))) |
Right3(b(End(x0))) | → | Left(c(a(c(b(End(x0)))))) |
Right1(a(x0)) | → | Aa(Right1(x0)) |
Right2(a(x0)) | → | Aa(Right2(x0)) |
Right3(a(x0)) | → | Aa(Right3(x0)) |
Right1(b(x0)) | → | Ab(Right1(x0)) |
Right2(b(x0)) | → | Ab(Right2(x0)) |
Right3(b(x0)) | → | Ab(Right3(x0)) |
Right1(c(x0)) | → | Ac(Right1(x0)) |
Right2(c(x0)) | → | Ac(Right2(x0)) |
Right3(c(x0)) | → | Ac(Right3(x0)) |
Aa(Left(x0)) | → | Left(a(x0)) |
Ab(Left(x0)) | → | Left(b(x0)) |
Ac(Left(x0)) | → | Left(c(x0)) |
Wait(Left(x0)) | → | Begin(x0) |
a(x0) | → | x0 |
a(a(a(x0))) | → | b(x0) |
b(c(x0)) | → | c(a(c(b(x0)))) |
c(x0) | → | x0 |
t0 | = | Begin(c(b(End(x45914)))) |
→ε | Wait(Right3(b(End(x45914)))) | |
→1 | Wait(Left(c(a(c(b(End(x45914))))))) | |
→ε | Begin(c(a(c(b(End(x45914)))))) | |
→1 | Begin(a(c(b(End(x45914))))) | |
→1 | Begin(c(b(End(x45914)))) | |
= | t5 |