by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(s(x0)) | → | Wait(Right1(x0)) |
| Begin(0(x0)) | → | Wait(Right2(x0)) |
| Begin(s(x0)) | → | Wait(Right3(x0)) |
| Begin(0(x0)) | → | Wait(Right4(x0)) |
| Begin(p(s(x0))) | → | Wait(Right5(x0)) |
| Begin(s(x0)) | → | Wait(Right6(x0)) |
| Begin(s(x0)) | → | Wait(Right7(x0)) |
| Begin(0(x0)) | → | Wait(Right8(x0)) |
| Right1(v(End(x0))) | → | Left(s(p(p(s(s(s(s(s(s(s(s(w(p(p(s(s(p(s(p(s(End(x0)))))))))))))))))))))) |
| Right2(v(End(x0))) | → | Left(p(p(s(s(0(p(p(s(s(s(s(s(End(x0)))))))))))))) |
| Right3(w(End(x0))) | → | Left(s(s(s(s(s(s(p(p(s(s(v(p(p(s(s(s(p(p(s(s(End(x0)))))))))))))))))))))) |
| Right4(w(End(x0))) | → | Left(p(s(p(p(p(p(p(p(p(p(s(s(0(s(s(s(s(s(s(End(x0))))))))))))))))))))) |
| Right5(p(End(x0))) | → | Left(p(End(x0))) |
| Right6(p(p(End(x0)))) | → | Left(p(End(x0))) |
| Right7(p(End(x0))) | → | Left(End(x0)) |
| Right8(p(End(x0))) | → | Left(0(s(s(s(s(s(s(s(p(s(End(x0)))))))))))) |
| Right1(v(x0)) | → | Av(Right1(x0)) |
| Right2(v(x0)) | → | Av(Right2(x0)) |
| Right3(v(x0)) | → | Av(Right3(x0)) |
| Right4(v(x0)) | → | Av(Right4(x0)) |
| Right5(v(x0)) | → | Av(Right5(x0)) |
| Right6(v(x0)) | → | Av(Right6(x0)) |
| Right7(v(x0)) | → | Av(Right7(x0)) |
| Right8(v(x0)) | → | Av(Right8(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)) |
| 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)) |
| Right6(p(x0)) | → | Ap(Right6(x0)) |
| Right7(p(x0)) | → | Ap(Right7(x0)) |
| Right8(p(x0)) | → | Ap(Right8(x0)) |
| Right1(w(x0)) | → | Aw(Right1(x0)) |
| Right2(w(x0)) | → | Aw(Right2(x0)) |
| Right3(w(x0)) | → | Aw(Right3(x0)) |
| Right4(w(x0)) | → | Aw(Right4(x0)) |
| Right5(w(x0)) | → | Aw(Right5(x0)) |
| Right6(w(x0)) | → | Aw(Right6(x0)) |
| Right7(w(x0)) | → | Aw(Right7(x0)) |
| Right8(w(x0)) | → | Aw(Right8(x0)) |
| Right1(0(x0)) | → | A0(Right1(x0)) |
| Right2(0(x0)) | → | A0(Right2(x0)) |
| Right3(0(x0)) | → | A0(Right3(x0)) |
| Right4(0(x0)) | → | A0(Right4(x0)) |
| Right5(0(x0)) | → | A0(Right5(x0)) |
| Right6(0(x0)) | → | A0(Right6(x0)) |
| Right7(0(x0)) | → | A0(Right7(x0)) |
| Right8(0(x0)) | → | A0(Right8(x0)) |
| Av(Left(x0)) | → | Left(v(x0)) |
| As(Left(x0)) | → | Left(s(x0)) |
| Ap(Left(x0)) | → | Left(p(x0)) |
| Aw(Left(x0)) | → | Left(w(x0)) |
| A0(Left(x0)) | → | Left(0(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| v(s(x0)) | → | s(p(p(s(s(s(s(s(s(s(s(w(p(p(s(s(p(s(p(s(x0)))))))))))))))))))) |
| v(0(x0)) | → | p(p(s(s(0(p(p(s(s(s(s(s(x0)))))))))))) |
| w(s(x0)) | → | s(s(s(s(s(s(p(p(s(s(v(p(p(s(s(s(p(p(s(s(x0)))))))))))))))))))) |
| w(0(x0)) | → | p(s(p(p(p(p(p(p(p(p(s(s(0(s(s(s(s(s(s(x0))))))))))))))))))) |
| p(p(s(x0))) | → | p(x0) |
| p(s(x0)) | → | x0 |
| p(0(x0)) | → | 0(s(s(s(s(s(s(s(p(s(x0)))))))))) |
| Begin(s(x0)) | → | Wait(Right1(x0)) |
| Begin(0(x0)) | → | Wait(Right2(x0)) |
| Begin(s(x0)) | → | Wait(Right3(x0)) |
| Begin(0(x0)) | → | Wait(Right4(x0)) |
| Begin(p(s(x0))) | → | Wait(Right5(x0)) |
| Begin(s(x0)) | → | Wait(Right6(x0)) |
| Begin(s(x0)) | → | Wait(Right7(x0)) |
| Begin(0(x0)) | → | Wait(Right8(x0)) |
| Right1(v(End(x0))) | → | Left(s(p(p(s(s(s(s(s(s(s(s(w(p(p(s(s(p(s(p(s(End(x0)))))))))))))))))))))) |
| Right2(v(End(x0))) | → | Left(p(p(s(s(0(p(p(s(s(s(s(s(End(x0)))))))))))))) |
| Right3(w(End(x0))) | → | Left(s(s(s(s(s(s(p(p(s(s(v(p(p(s(s(s(p(p(s(s(End(x0)))))))))))))))))))))) |
| Right4(w(End(x0))) | → | Left(p(s(p(p(p(p(p(p(p(p(s(s(0(s(s(s(s(s(s(End(x0))))))))))))))))))))) |
| Right5(p(End(x0))) | → | Left(p(End(x0))) |
| Right6(p(p(End(x0)))) | → | Left(p(End(x0))) |
| Right7(p(End(x0))) | → | Left(End(x0)) |
| Right8(p(End(x0))) | → | Left(0(s(s(s(s(s(s(s(p(s(End(x0)))))))))))) |
| Right1(v(x0)) | → | Av(Right1(x0)) |
| Right2(v(x0)) | → | Av(Right2(x0)) |
| Right3(v(x0)) | → | Av(Right3(x0)) |
| Right4(v(x0)) | → | Av(Right4(x0)) |
| Right5(v(x0)) | → | Av(Right5(x0)) |
| Right6(v(x0)) | → | Av(Right6(x0)) |
| Right7(v(x0)) | → | Av(Right7(x0)) |
| Right8(v(x0)) | → | Av(Right8(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)) |
| 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)) |
| Right6(p(x0)) | → | Ap(Right6(x0)) |
| Right7(p(x0)) | → | Ap(Right7(x0)) |
| Right8(p(x0)) | → | Ap(Right8(x0)) |
| Right1(w(x0)) | → | Aw(Right1(x0)) |
| Right2(w(x0)) | → | Aw(Right2(x0)) |
| Right3(w(x0)) | → | Aw(Right3(x0)) |
| Right4(w(x0)) | → | Aw(Right4(x0)) |
| Right5(w(x0)) | → | Aw(Right5(x0)) |
| Right6(w(x0)) | → | Aw(Right6(x0)) |
| Right7(w(x0)) | → | Aw(Right7(x0)) |
| Right8(w(x0)) | → | Aw(Right8(x0)) |
| Right1(0(x0)) | → | A0(Right1(x0)) |
| Right2(0(x0)) | → | A0(Right2(x0)) |
| Right3(0(x0)) | → | A0(Right3(x0)) |
| Right4(0(x0)) | → | A0(Right4(x0)) |
| Right5(0(x0)) | → | A0(Right5(x0)) |
| Right6(0(x0)) | → | A0(Right6(x0)) |
| Right7(0(x0)) | → | A0(Right7(x0)) |
| Right8(0(x0)) | → | A0(Right8(x0)) |
| Av(Left(x0)) | → | Left(v(x0)) |
| As(Left(x0)) | → | Left(s(x0)) |
| Ap(Left(x0)) | → | Left(p(x0)) |
| Aw(Left(x0)) | → | Left(w(x0)) |
| A0(Left(x0)) | → | Left(0(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| v(s(x0)) | → | s(p(p(s(s(s(s(s(s(s(s(w(p(p(s(s(p(s(p(s(x0)))))))))))))))))))) |
| v(0(x0)) | → | p(p(s(s(0(p(p(s(s(s(s(s(x0)))))))))))) |
| w(s(x0)) | → | s(s(s(s(s(s(p(p(s(s(v(p(p(s(s(s(p(p(s(s(x0)))))))))))))))))))) |
| w(0(x0)) | → | p(s(p(p(p(p(p(p(p(p(s(s(0(s(s(s(s(s(s(x0))))))))))))))))))) |
| p(p(s(x0))) | → | p(x0) |
| p(s(x0)) | → | x0 |
| p(0(x0)) | → | 0(s(s(s(s(s(s(s(p(s(x0)))))))))) |