NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(p(x0)) | → | Wait(Right1(x0)) | 
| Begin(A(x0)) | → | Wait(Right2(x0)) | 
| Begin(A(A(x0))) | → | Wait(Right3(x0)) | 
| Begin(A(x0)) | → | Wait(Right4(x0)) | 
| Right1(a(End(x0))) | → | Left(p(a(A(End(x0))))) | 
| Right2(a(End(x0))) | → | Left(A(a(End(x0)))) | 
| Right3(p(End(x0))) | → | Left(a(p(End(x0)))) | 
| Right4(p(A(End(x0)))) | → | Left(a(p(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(p(x0)) | → | Ap(Right1(x0)) | 
| Right2(p(x0)) | → | Ap(Right2(x0)) | 
| Right3(p(x0)) | → | Ap(Right3(x0)) | 
| Right4(p(x0)) | → | Ap(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)) | 
| Aa(Left(x0)) | → | Left(a(x0)) | 
| Ap(Left(x0)) | → | Left(p(x0)) | 
| AA(Left(x0)) | → | Left(A(x0)) | 
| Wait(Left(x0)) | → | Begin(x0) | 
| a(p(x0)) | → | p(a(A(x0))) | 
| a(A(x0)) | → | A(a(x0)) | 
| p(A(A(x0))) | → | a(p(x0)) | 
| t0 | = | Begin(A(a(End(x2193)))) | 
| →ε | Wait(Right2(a(End(x2193)))) | |
| →1 | Wait(Left(A(a(End(x2193))))) | |
| →ε | Begin(A(a(End(x2193)))) | |
| = | t3 |