NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
Begin(a(x0)) | → | Wait(Right1(x0)) |
Begin(a(b(x0))) | → | Wait(Right2(x0)) |
Begin(b(x0)) | → | Wait(Right3(x0)) |
Begin(a(a(x0))) | → | Wait(Right4(x0)) |
Begin(a(x0)) | → | Wait(Right5(x0)) |
Right1(b(End(x0))) | → | Left(b(b(End(x0)))) |
Right2(b(End(x0))) | → | Left(b(a(a(End(x0))))) |
Right3(b(a(End(x0)))) | → | Left(b(a(a(End(x0))))) |
Right4(a(End(x0))) | → | Left(a(b(b(End(x0))))) |
Right5(a(a(End(x0)))) | → | Left(a(b(b(End(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)) |
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)) |
Ab(Left(x0)) | → | Left(b(x0)) |
Aa(Left(x0)) | → | Left(a(x0)) |
Wait(Left(x0)) | → | Begin(x0) |
b(a(x0)) | → | b(b(x0)) |
b(a(b(x0))) | → | b(a(a(x0))) |
a(a(a(x0))) | → | a(b(b(x0))) |
t0 | = | Begin(b(b(a(End(x12098))))) |
→ε | Wait(Right3(b(a(End(x12098))))) | |
→1 | Wait(Left(b(a(a(End(x12098)))))) | |
→ε | Begin(b(a(a(End(x12098))))) | |
→1 | Begin(b(b(a(End(x12098))))) | |
= | t4 |