NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(s(x0)) | → | Wait(Right1(x0)) | 
| Begin(a(b(s(x0)))) | → | Wait(Right2(x0)) | 
| Begin(b(s(x0))) | → | Wait(Right3(x0)) | 
| Begin(s(x0)) | → | Wait(Right4(x0)) | 
| Begin(a(b(b(x0)))) | → | Wait(Right5(x0)) | 
| Begin(b(b(x0))) | → | Wait(Right6(x0)) | 
| Begin(b(x0)) | → | Wait(Right7(x0)) | 
| Begin(b(a(a(x0)))) | → | Wait(Right8(x0)) | 
| Begin(a(a(x0))) | → | Wait(Right9(x0)) | 
| Begin(a(x0)) | → | Wait(Right10(x0)) | 
| Right1(a(End(x0))) | → | Left(s(a(End(x0)))) | 
| Right2(b(End(x0))) | → | Left(a(b(s(a(End(x0)))))) | 
| Right3(b(a(End(x0)))) | → | Left(a(b(s(a(End(x0)))))) | 
| Right4(b(a(b(End(x0))))) | → | Left(a(b(s(a(End(x0)))))) | 
| Right5(b(End(x0))) | → | Left(a(b(a(b(End(x0)))))) | 
| Right6(b(a(End(x0)))) | → | Left(a(b(a(b(End(x0)))))) | 
| Right7(b(a(b(End(x0))))) | → | Left(a(b(a(b(End(x0)))))) | 
| Right8(a(End(x0))) | → | Left(b(a(b(a(End(x0)))))) | 
| Right9(a(b(End(x0)))) | → | Left(b(a(b(a(End(x0)))))) | 
| Right10(a(b(a(End(x0))))) | → | Left(b(a(b(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)) | 
| Right5(a(x0)) | → | Aa(Right5(x0)) | 
| Right6(a(x0)) | → | Aa(Right6(x0)) | 
| Right7(a(x0)) | → | Aa(Right7(x0)) | 
| Right8(a(x0)) | → | Aa(Right8(x0)) | 
| Right9(a(x0)) | → | Aa(Right9(x0)) | 
| Right10(a(x0)) | → | Aa(Right10(x0)) | 
| Right1(s(x0)) | → | As(Right1(x0)) | 
| Right2(s(x0)) | → | As(Right2(x0)) | 
| Right3(s(x0)) | → | As(Right3(x0)) | 
| Right4(s(x0)) | → | As(Right4(x0)) | 
| Right5(s(x0)) | → | As(Right5(x0)) | 
| Right6(s(x0)) | → | As(Right6(x0)) | 
| Right7(s(x0)) | → | As(Right7(x0)) | 
| Right8(s(x0)) | → | As(Right8(x0)) | 
| Right9(s(x0)) | → | As(Right9(x0)) | 
| Right10(s(x0)) | → | As(Right10(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)) | 
| Right6(b(x0)) | → | Ab(Right6(x0)) | 
| Right7(b(x0)) | → | Ab(Right7(x0)) | 
| Right8(b(x0)) | → | Ab(Right8(x0)) | 
| Right9(b(x0)) | → | Ab(Right9(x0)) | 
| Right10(b(x0)) | → | Ab(Right10(x0)) | 
| Aa(Left(x0)) | → | Left(a(x0)) | 
| As(Left(x0)) | → | Left(s(x0)) | 
| Ab(Left(x0)) | → | Left(b(x0)) | 
| Wait(Left(x0)) | → | Begin(x0) | 
| a(s(x0)) | → | s(a(x0)) | 
| b(a(b(s(x0)))) | → | a(b(s(a(x0)))) | 
| b(a(b(b(x0)))) | → | a(b(a(b(x0)))) | 
| a(b(a(a(x0)))) | → | b(a(b(a(x0)))) | 
| t0 | = | Begin(s(a(End(x9291)))) | 
| →ε | Wait(Right1(a(End(x9291)))) | |
| →1 | Wait(Left(s(a(End(x9291))))) | |
| →ε | Begin(s(a(End(x9291)))) | |
| = | t3 |