NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
Begin(a(x0)) | → | Wait(Right1(x0)) |
Begin(c(x0)) | → | Wait(Right2(x0)) |
Begin(d(d(x0))) | → | Wait(Right3(x0)) |
Begin(d(x0)) | → | Wait(Right4(x0)) |
Right1(a(End(x0))) | → | Left(b(c(c(c(End(x0)))))) |
Right2(b(End(x0))) | → | Left(d(d(d(d(End(x0)))))) |
Right3(c(End(x0))) | → | Left(a(End(x0))) |
Right4(c(d(End(x0)))) | → | Left(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)) |
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(c(x0)) | → | Ac(Right1(x0)) |
Right2(c(x0)) | → | Ac(Right2(x0)) |
Right3(c(x0)) | → | Ac(Right3(x0)) |
Right4(c(x0)) | → | Ac(Right4(x0)) |
Right1(d(x0)) | → | Ad(Right1(x0)) |
Right2(d(x0)) | → | Ad(Right2(x0)) |
Right3(d(x0)) | → | Ad(Right3(x0)) |
Right4(d(x0)) | → | Ad(Right4(x0)) |
Aa(Left(x0)) | → | Left(a(x0)) |
Ab(Left(x0)) | → | Left(b(x0)) |
Ac(Left(x0)) | → | Left(c(x0)) |
Ad(Left(x0)) | → | Left(d(x0)) |
Wait(Left(x0)) | → | Begin(x0) |
a(a(x0)) | → | b(c(c(c(x0)))) |
b(c(x0)) | → | d(d(d(d(x0)))) |
a(x0) | → | d(c(d(x0))) |
c(d(d(x0))) | → | a(x0) |
t0 | = | Begin(d(c(d(End(x30896))))) |
→ε | Wait(Right4(c(d(End(x30896))))) | |
→1 | Wait(Left(a(End(x30896)))) | |
→ε | Begin(a(End(x30896))) | |
→1 | Begin(d(c(d(End(x30896))))) | |
= | t4 |