NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
Begin(b(a(b(a(x0))))) | → | Wait(Right1(x0)) |
Begin(a(b(a(x0)))) | → | Wait(Right2(x0)) |
Begin(b(a(x0))) | → | Wait(Right3(x0)) |
Begin(a(x0)) | → | Wait(Right4(x0)) |
Right1(c(End(x0))) | → | Left(a(b(a(b(a(b(c(b(c(End(x0))))))))))) |
Right2(c(b(End(x0)))) | → | Left(a(b(a(b(a(b(c(b(c(End(x0))))))))))) |
Right3(c(b(a(End(x0))))) | → | Left(a(b(a(b(a(b(c(b(c(End(x0))))))))))) |
Right4(c(b(a(b(End(x0)))))) | → | Left(a(b(a(b(a(b(c(b(c(End(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)) |
Right1(b(x0)) | → | Ab(Right1(x0)) |
Right2(b(x0)) | → | Ab(Right2(x0)) |
Right3(b(x0)) | → | Ab(Right3(x0)) |
Right4(b(x0)) | → | Ab(Right4(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)) |
Ac(Left(x0)) | → | Left(c(x0)) |
Ab(Left(x0)) | → | Left(b(x0)) |
Aa(Left(x0)) | → | Left(a(x0)) |
Wait(Left(x0)) | → | Begin(x0) |
c(b(a(b(a(x0))))) | → | a(b(a(b(a(b(c(b(c(x0))))))))) |
t0 | = | c(b(a(b(a(b(a(b(a(b(a(b(a(x63225))))))))))))) |
→ε | a(b(a(b(a(b(c(b(c(b(a(b(a(b(a(b(a(x63225))))))))))))))))) | |
→1.1.1.1.1.1.1.1 | a(b(a(b(a(b(c(b(a(b(a(b(a(b(c(b(c(b(a(b(a(x63225))))))))))))))))))))) | |
→1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1 | a(b(a(b(a(b(c(b(a(b(a(b(a(b(c(b(a(b(a(b(a(b(c(b(c(x63225))))))))))))))))))))))))) | |
→1.1.1.1.1.1.1.1.1.1.1.1.1.1 | a(b(a(b(a(b(c(b(a(b(a(b(a(b(a(b(a(b(a(b(c(b(c(b(a(b(c(b(c(x63225))))))))))))))))))))))))))))) | |
= | t4 |