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(a(x0))) | → | Wait(Right3(x0)) |
Begin(a(x0)) | → | Wait(Right4(x0)) |
Begin(a(c(x0))) | → | Wait(Right5(x0)) |
Begin(c(x0)) | → | Wait(Right6(x0)) |
Right1(a(End(x0))) | → | Left(c(c(a(End(x0))))) |
Right2(a(a(End(x0)))) | → | Left(c(c(a(End(x0))))) |
Right3(a(End(x0))) | → | Left(c(c(a(End(x0))))) |
Right4(a(c(End(x0)))) | → | Left(c(c(a(End(x0))))) |
Right5(c(End(x0))) | → | Left(a(a(c(End(x0))))) |
Right6(c(a(End(x0)))) | → | Left(a(a(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)) |
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)) |
Aa(Left(x0)) | → | Left(a(x0)) |
Ac(Left(x0)) | → | Left(c(x0)) |
Wait(Left(x0)) | → | Begin(x0) |
a(a(a(x0))) | → | c(c(a(x0))) |
a(c(a(x0))) | → | c(c(a(x0))) |
c(a(c(x0))) | → | a(a(c(x0))) |
t0 | = | Begin(a(a(c(End(x191755))))) |
→ε | Wait(Right4(a(c(End(x191755))))) | |
→1 | Wait(Left(c(c(a(End(x191755)))))) | |
→ε | Begin(c(c(a(End(x191755))))) | |
→ε | Wait(Right6(c(a(End(x191755))))) | |
→1 | Wait(Left(a(a(c(End(x191755)))))) | |
→ε | Begin(a(a(c(End(x191755))))) | |
= | t6 |