NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(p(x0)) | → | Wait(Right1(x0)) | 
| Begin(P(P(x0))) | → | Wait(Right2(x0)) | 
| Begin(P(x0)) | → | Wait(Right3(x0)) | 
| Begin(P(x0)) | → | Wait(Right4(x0)) | 
| Begin(p(x0)) | → | Wait(Right5(x0)) | 
| Right1(r(End(x0))) | → | Left(p(p(r(P(End(x0)))))) | 
| Right2(r(End(x0))) | → | Left(P(P(r(End(x0))))) | 
| Right3(r(P(End(x0)))) | → | Left(P(P(r(End(x0))))) | 
| Right4(p(End(x0))) | → | Left(End(x0)) | 
| Right5(P(End(x0))) | → | Left(End(x0)) | 
| Right1(r(x0)) | → | Ar(Right1(x0)) | 
| Right2(r(x0)) | → | Ar(Right2(x0)) | 
| Right3(r(x0)) | → | Ar(Right3(x0)) | 
| Right4(r(x0)) | → | Ar(Right4(x0)) | 
| Right5(r(x0)) | → | Ar(Right5(x0)) | 
| Right1(p(x0)) | → | Ap(Right1(x0)) | 
| Right2(p(x0)) | → | Ap(Right2(x0)) | 
| Right3(p(x0)) | → | Ap(Right3(x0)) | 
| Right4(p(x0)) | → | Ap(Right4(x0)) | 
| Right5(p(x0)) | → | Ap(Right5(x0)) | 
| Right1(P(x0)) | → | AP(Right1(x0)) | 
| Right2(P(x0)) | → | AP(Right2(x0)) | 
| Right3(P(x0)) | → | AP(Right3(x0)) | 
| Right4(P(x0)) | → | AP(Right4(x0)) | 
| Right5(P(x0)) | → | AP(Right5(x0)) | 
| Ar(Left(x0)) | → | Left(r(x0)) | 
| Ap(Left(x0)) | → | Left(p(x0)) | 
| AP(Left(x0)) | → | Left(P(x0)) | 
| Wait(Left(x0)) | → | Begin(x0) | 
| r(p(x0)) | → | p(p(r(P(x0)))) | 
| r(P(P(x0))) | → | P(P(r(x0))) | 
| p(P(x0)) | → | x0 | 
| P(p(x0)) | → | x0 | 
| t0 | = | Begin(P(P(r(End(x3076))))) | 
| →ε | Wait(Right2(r(End(x3076)))) | |
| →1 | Wait(Left(P(P(r(End(x3076)))))) | |
| →ε | Begin(P(P(r(End(x3076))))) | |
| = | t3 |