NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(a(b(x0))) | → | Wait(Right1(x0)) | 
| Begin(b(x0)) | → | Wait(Right2(x0)) | 
| Begin(a(a(a(b(a(a(b(x0)))))))) | → | Wait(Right3(x0)) | 
| Begin(a(a(b(a(a(b(x0))))))) | → | Wait(Right4(x0)) | 
| Begin(a(b(a(a(b(x0)))))) | → | Wait(Right5(x0)) | 
| Begin(b(a(a(b(x0))))) | → | Wait(Right6(x0)) | 
| Begin(a(a(b(x0)))) | → | Wait(Right7(x0)) | 
| Begin(a(b(x0))) | → | Wait(Right8(x0)) | 
| Begin(b(x0)) | → | Wait(Right9(x0)) | 
| Begin(a(a(a(b(a(a(a(b(x0))))))))) | → | Wait(Right10(x0)) | 
| Begin(a(a(b(a(a(a(b(x0)))))))) | → | Wait(Right11(x0)) | 
| Begin(a(b(a(a(a(b(x0))))))) | → | Wait(Right12(x0)) | 
| Begin(b(a(a(a(b(x0)))))) | → | Wait(Right13(x0)) | 
| Begin(a(a(a(b(x0))))) | → | Wait(Right14(x0)) | 
| Begin(a(a(b(x0)))) | → | Wait(Right15(x0)) | 
| Begin(a(b(x0))) | → | Wait(Right16(x0)) | 
| Begin(b(x0)) | → | Wait(Right17(x0)) | 
| Begin(a(a(a(b(b(b(x0))))))) | → | Wait(Right18(x0)) | 
| Begin(a(a(b(b(b(x0)))))) | → | Wait(Right19(x0)) | 
| Begin(a(b(b(b(x0))))) | → | Wait(Right20(x0)) | 
| Begin(b(b(b(x0)))) | → | Wait(Right21(x0)) | 
| Begin(b(b(x0))) | → | Wait(Right22(x0)) | 
| Begin(b(x0)) | → | Wait(Right23(x0)) | 
| Begin(a(a(b(b(x0))))) | → | Wait(Right24(x0)) | 
| Begin(a(b(b(x0)))) | → | Wait(Right25(x0)) | 
| Begin(b(b(x0))) | → | Wait(Right26(x0)) | 
| Begin(b(x0)) | → | Wait(Right27(x0)) | 
| Begin(b(a(a(b(x0))))) | → | Wait(Right28(x0)) | 
| Begin(a(a(b(x0)))) | → | Wait(Right29(x0)) | 
| Begin(a(b(x0))) | → | Wait(Right30(x0)) | 
| Begin(b(x0)) | → | Wait(Right31(x0)) | 
| Begin(a(a(a(b(a(b(x0))))))) | → | Wait(Right32(x0)) | 
| Begin(a(a(b(a(b(x0)))))) | → | Wait(Right33(x0)) | 
| Begin(a(b(a(b(x0))))) | → | Wait(Right34(x0)) | 
| Begin(b(a(b(x0)))) | → | Wait(Right35(x0)) | 
| Begin(a(b(x0))) | → | Wait(Right36(x0)) | 
| Begin(b(x0)) | → | Wait(Right37(x0)) | 
| Begin(a(b(a(a(a(b(x0))))))) | → | Wait(Right38(x0)) | 
| Begin(b(a(a(a(b(x0)))))) | → | Wait(Right39(x0)) | 
| Begin(a(a(a(b(x0))))) | → | Wait(Right40(x0)) | 
| Begin(a(a(b(x0)))) | → | Wait(Right41(x0)) | 
| Begin(a(b(x0))) | → | Wait(Right42(x0)) | 
| Begin(b(x0)) | → | Wait(Right43(x0)) | 
| Right1(b(End(x0))) | → | Left(b(a(a(a(b(End(x0))))))) | 
| Right2(b(a(End(x0)))) | → | Left(b(a(a(a(b(End(x0))))))) | 
| Right3(b(End(x0))) | → | Left(b(a(a(b(a(a(b(a(a(a(b(b(End(x0)))))))))))))) | 
| Right4(b(a(End(x0)))) | → | Left(b(a(a(b(a(a(b(a(a(a(b(b(End(x0)))))))))))))) | 
| Right5(b(a(a(End(x0))))) | → | Left(b(a(a(b(a(a(b(a(a(a(b(b(End(x0)))))))))))))) | 
| Right6(b(a(a(a(End(x0)))))) | → | Left(b(a(a(b(a(a(b(a(a(a(b(b(End(x0)))))))))))))) | 
| Right7(b(a(a(a(b(End(x0))))))) | → | Left(b(a(a(b(a(a(b(a(a(a(b(b(End(x0)))))))))))))) | 
| Right8(b(a(a(a(b(a(End(x0)))))))) | → | Left(b(a(a(b(a(a(b(a(a(a(b(b(End(x0)))))))))))))) | 
| Right9(b(a(a(a(b(a(a(End(x0))))))))) | → | Left(b(a(a(b(a(a(b(a(a(a(b(b(End(x0)))))))))))))) | 
| Right10(b(End(x0))) | → | Left(b(End(x0))) | 
| Right11(b(a(End(x0)))) | → | Left(b(End(x0))) | 
| Right12(b(a(a(End(x0))))) | → | Left(b(End(x0))) | 
| Right13(b(a(a(a(End(x0)))))) | → | Left(b(End(x0))) | 
| Right14(b(a(a(a(b(End(x0))))))) | → | Left(b(End(x0))) | 
| Right15(b(a(a(a(b(a(End(x0)))))))) | → | Left(b(End(x0))) | 
| Right16(b(a(a(a(b(a(a(End(x0))))))))) | → | Left(b(End(x0))) | 
| Right17(b(a(a(a(b(a(a(a(End(x0)))))))))) | → | Left(b(End(x0))) | 
| Right18(b(End(x0))) | → | Left(b(b(b(a(a(a(b(End(x0))))))))) | 
| Right19(b(a(End(x0)))) | → | Left(b(b(b(a(a(a(b(End(x0))))))))) | 
| Right20(b(a(a(End(x0))))) | → | Left(b(b(b(a(a(a(b(End(x0))))))))) | 
| Right21(b(a(a(a(End(x0)))))) | → | Left(b(b(b(a(a(a(b(End(x0))))))))) | 
| Right22(b(a(a(a(b(End(x0))))))) | → | Left(b(b(b(a(a(a(b(End(x0))))))))) | 
| Right23(b(a(a(a(b(b(End(x0)))))))) | → | Left(b(b(b(a(a(a(b(End(x0))))))))) | 
| Right24(b(End(x0))) | → | Left(b(End(x0))) | 
| Right25(b(a(End(x0)))) | → | Left(b(End(x0))) | 
| Right26(b(a(a(End(x0))))) | → | Left(b(End(x0))) | 
| Right27(b(a(a(b(End(x0)))))) | → | Left(b(End(x0))) | 
| Right28(b(End(x0))) | → | Left(b(End(x0))) | 
| Right29(b(b(End(x0)))) | → | Left(b(End(x0))) | 
| Right30(b(b(a(End(x0))))) | → | Left(b(End(x0))) | 
| Right31(b(b(a(a(End(x0)))))) | → | Left(b(End(x0))) | 
| Right32(b(End(x0))) | → | Left(b(End(x0))) | 
| Right33(b(a(End(x0)))) | → | Left(b(End(x0))) | 
| Right34(b(a(a(End(x0))))) | → | Left(b(End(x0))) | 
| Right35(b(a(a(a(End(x0)))))) | → | Left(b(End(x0))) | 
| Right36(b(a(a(a(b(End(x0))))))) | → | Left(b(End(x0))) | 
| Right37(b(a(a(a(b(a(End(x0)))))))) | → | Left(b(End(x0))) | 
| Right38(b(End(x0))) | → | Left(b(End(x0))) | 
| Right39(b(a(End(x0)))) | → | Left(b(End(x0))) | 
| Right40(b(a(b(End(x0))))) | → | Left(b(End(x0))) | 
| Right41(b(a(b(a(End(x0)))))) | → | Left(b(End(x0))) | 
| Right42(b(a(b(a(a(End(x0))))))) | → | Left(b(End(x0))) | 
| Right43(b(a(b(a(a(a(End(x0)))))))) | → | Left(b(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)) | 
| Right8(b(x0)) | → | Ab(Right8(x0)) | 
| Right9(b(x0)) | → | Ab(Right9(x0)) | 
| Right10(b(x0)) | → | Ab(Right10(x0)) | 
| Right11(b(x0)) | → | Ab(Right11(x0)) | 
| Right12(b(x0)) | → | Ab(Right12(x0)) | 
| Right13(b(x0)) | → | Ab(Right13(x0)) | 
| Right14(b(x0)) | → | Ab(Right14(x0)) | 
| Right15(b(x0)) | → | Ab(Right15(x0)) | 
| Right16(b(x0)) | → | Ab(Right16(x0)) | 
| Right17(b(x0)) | → | Ab(Right17(x0)) | 
| Right18(b(x0)) | → | Ab(Right18(x0)) | 
| Right19(b(x0)) | → | Ab(Right19(x0)) | 
| Right20(b(x0)) | → | Ab(Right20(x0)) | 
| Right21(b(x0)) | → | Ab(Right21(x0)) | 
| Right22(b(x0)) | → | Ab(Right22(x0)) | 
| Right23(b(x0)) | → | Ab(Right23(x0)) | 
| Right24(b(x0)) | → | Ab(Right24(x0)) | 
| Right25(b(x0)) | → | Ab(Right25(x0)) | 
| Right26(b(x0)) | → | Ab(Right26(x0)) | 
| Right27(b(x0)) | → | Ab(Right27(x0)) | 
| Right28(b(x0)) | → | Ab(Right28(x0)) | 
| Right29(b(x0)) | → | Ab(Right29(x0)) | 
| Right30(b(x0)) | → | Ab(Right30(x0)) | 
| Right31(b(x0)) | → | Ab(Right31(x0)) | 
| Right32(b(x0)) | → | Ab(Right32(x0)) | 
| Right33(b(x0)) | → | Ab(Right33(x0)) | 
| Right34(b(x0)) | → | Ab(Right34(x0)) | 
| Right35(b(x0)) | → | Ab(Right35(x0)) | 
| Right36(b(x0)) | → | Ab(Right36(x0)) | 
| Right37(b(x0)) | → | Ab(Right37(x0)) | 
| Right38(b(x0)) | → | Ab(Right38(x0)) | 
| Right39(b(x0)) | → | Ab(Right39(x0)) | 
| Right40(b(x0)) | → | Ab(Right40(x0)) | 
| Right41(b(x0)) | → | Ab(Right41(x0)) | 
| Right42(b(x0)) | → | Ab(Right42(x0)) | 
| Right43(b(x0)) | → | Ab(Right43(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)) | 
| Right11(a(x0)) | → | Aa(Right11(x0)) | 
| Right12(a(x0)) | → | Aa(Right12(x0)) | 
| Right13(a(x0)) | → | Aa(Right13(x0)) | 
| Right14(a(x0)) | → | Aa(Right14(x0)) | 
| Right15(a(x0)) | → | Aa(Right15(x0)) | 
| Right16(a(x0)) | → | Aa(Right16(x0)) | 
| Right17(a(x0)) | → | Aa(Right17(x0)) | 
| Right18(a(x0)) | → | Aa(Right18(x0)) | 
| Right19(a(x0)) | → | Aa(Right19(x0)) | 
| Right20(a(x0)) | → | Aa(Right20(x0)) | 
| Right21(a(x0)) | → | Aa(Right21(x0)) | 
| Right22(a(x0)) | → | Aa(Right22(x0)) | 
| Right23(a(x0)) | → | Aa(Right23(x0)) | 
| Right24(a(x0)) | → | Aa(Right24(x0)) | 
| Right25(a(x0)) | → | Aa(Right25(x0)) | 
| Right26(a(x0)) | → | Aa(Right26(x0)) | 
| Right27(a(x0)) | → | Aa(Right27(x0)) | 
| Right28(a(x0)) | → | Aa(Right28(x0)) | 
| Right29(a(x0)) | → | Aa(Right29(x0)) | 
| Right30(a(x0)) | → | Aa(Right30(x0)) | 
| Right31(a(x0)) | → | Aa(Right31(x0)) | 
| Right32(a(x0)) | → | Aa(Right32(x0)) | 
| Right33(a(x0)) | → | Aa(Right33(x0)) | 
| Right34(a(x0)) | → | Aa(Right34(x0)) | 
| Right35(a(x0)) | → | Aa(Right35(x0)) | 
| Right36(a(x0)) | → | Aa(Right36(x0)) | 
| Right37(a(x0)) | → | Aa(Right37(x0)) | 
| Right38(a(x0)) | → | Aa(Right38(x0)) | 
| Right39(a(x0)) | → | Aa(Right39(x0)) | 
| Right40(a(x0)) | → | Aa(Right40(x0)) | 
| Right41(a(x0)) | → | Aa(Right41(x0)) | 
| Right42(a(x0)) | → | Aa(Right42(x0)) | 
| Right43(a(x0)) | → | Aa(Right43(x0)) | 
| Ab(Left(x0)) | → | Left(b(x0)) | 
| Aa(Left(x0)) | → | Left(a(x0)) | 
| Wait(Left(x0)) | → | Begin(x0) | 
| b(a(b(x0))) | → | b(a(a(a(b(x0))))) | 
| b(a(a(a(b(a(a(b(x0)))))))) | → | b(a(a(b(a(a(b(a(a(a(b(b(x0)))))))))))) | 
| b(a(a(a(b(a(a(a(b(x0))))))))) | → | b(x0) | 
| b(a(a(a(b(b(b(x0))))))) | → | b(b(b(a(a(a(b(x0))))))) | 
| b(a(a(b(b(x0))))) | → | b(x0) | 
| b(b(a(a(b(x0))))) | → | b(x0) | 
| b(a(a(a(b(a(b(x0))))))) | → | b(x0) | 
| b(a(b(a(a(a(b(x0))))))) | → | b(x0) | 
| t0 | = | Begin(b(b(b(a(a(a(b(End(x165497))))))))) | 
| →ε | Wait(Right22(b(a(a(a(b(End(x165497)))))))) | |
| →1 | Wait(Left(b(b(b(a(a(a(b(End(x165497)))))))))) | |
| →ε | Begin(b(b(b(a(a(a(b(End(x165497))))))))) | |
| = | t3 |