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(a(x0)) | → | Wait(Right3(x0)) | 
| Begin(b(x0)) | → | Wait(Right4(x0)) | 
| Begin(a(a(x0))) | → | Wait(Right5(x0)) | 
| Begin(a(x0)) | → | Wait(Right6(x0)) | 
| Begin(R(x0)) | → | Wait(Right7(x0)) | 
| Right1(b(End(x0))) | → | Left(a(b(c(End(x0))))) | 
| Right2(b(a(End(x0)))) | → | Left(a(b(c(End(x0))))) | 
| Right3(c(End(x0))) | → | Left(a(c(End(x0)))) | 
| Right4(c(End(x0))) | → | Left(b(a(End(x0)))) | 
| Right5(L(End(x0))) | → | Left(L(a(b(c(End(x0)))))) | 
| Right6(L(a(End(x0)))) | → | Left(L(a(b(c(End(x0)))))) | 
| Right7(c(End(x0))) | → | Left(b(a(R(End(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)) | 
| 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)) | 
| 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)) | 
| Right7(c(x0)) | → | Ac(Right7(x0)) | 
| Right1(L(x0)) | → | AL(Right1(x0)) | 
| Right2(L(x0)) | → | AL(Right2(x0)) | 
| Right3(L(x0)) | → | AL(Right3(x0)) | 
| Right4(L(x0)) | → | AL(Right4(x0)) | 
| Right5(L(x0)) | → | AL(Right5(x0)) | 
| Right6(L(x0)) | → | AL(Right6(x0)) | 
| Right7(L(x0)) | → | AL(Right7(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)) | 
| Right6(R(x0)) | → | AR(Right6(x0)) | 
| Right7(R(x0)) | → | AR(Right7(x0)) | 
| Ab(Left(x0)) | → | Left(b(x0)) | 
| Aa(Left(x0)) | → | Left(a(x0)) | 
| Ac(Left(x0)) | → | Left(c(x0)) | 
| AL(Left(x0)) | → | Left(L(x0)) | 
| AR(Left(x0)) | → | Left(R(x0)) | 
| Wait(Left(x0)) | → | Begin(x0) | 
| b(a(a(x0))) | → | a(b(c(x0))) | 
| c(a(x0)) | → | a(c(x0)) | 
| c(b(x0)) | → | b(a(x0)) | 
| L(a(a(x0))) | → | L(a(b(c(x0)))) | 
| c(R(x0)) | → | b(a(R(x0))) | 
| t0 | = | Begin(a(c(End(x11470)))) | 
| →ε | Wait(Right3(c(End(x11470)))) | |
| →1 | Wait(Left(a(c(End(x11470))))) | |
| →ε | Begin(a(c(End(x11470)))) | |
| = | t3 |