by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(0(x0)) | → | Wait(Right1(x0)) |
| Begin(0(x0)) | → | Wait(Right2(x0)) |
| Begin(s(x0)) | → | Wait(Right3(x0)) |
| Begin(s(x0)) | → | Wait(Right4(x0)) |
| Begin(s(x0)) | → | Wait(Right5(x0)) |
| Right1(f(End(x0))) | → | Left(s(0(End(x0)))) |
| Right2(d(End(x0))) | → | Left(0(End(x0))) |
| Right3(d(End(x0))) | → | Left(s(s(d(p(s(End(x0))))))) |
| Right4(f(End(x0))) | → | Left(d(f(p(s(End(x0)))))) |
| Right5(p(End(x0))) | → | Left(End(x0)) |
| Right1(f(x0)) | → | Af(Right1(x0)) |
| Right2(f(x0)) | → | Af(Right2(x0)) |
| Right3(f(x0)) | → | Af(Right3(x0)) |
| Right4(f(x0)) | → | Af(Right4(x0)) |
| Right5(f(x0)) | → | Af(Right5(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)) |
| 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)) |
| Right1(d(x0)) | → | Ad(Right1(x0)) |
| Right2(d(x0)) | → | Ad(Right2(x0)) |
| Right3(d(x0)) | → | Ad(Right3(x0)) |
| Right4(d(x0)) | → | Ad(Right4(x0)) |
| Right5(d(x0)) | → | Ad(Right5(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)) |
| Af(Left(x0)) | → | Left(f(x0)) |
| A0(Left(x0)) | → | Left(0(x0)) |
| As(Left(x0)) | → | Left(s(x0)) |
| Ad(Left(x0)) | → | Left(d(x0)) |
| Ap(Left(x0)) | → | Left(p(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| f(0(x0)) | → | s(0(x0)) |
| d(0(x0)) | → | 0(x0) |
| d(s(x0)) | → | s(s(d(p(s(x0))))) |
| f(s(x0)) | → | d(f(p(s(x0)))) |
| p(s(x0)) | → | x0 |
| Begin(0(x0)) | → | Wait(Right1(x0)) |
| Begin(0(x0)) | → | Wait(Right2(x0)) |
| Begin(s(x0)) | → | Wait(Right3(x0)) |
| Begin(s(x0)) | → | Wait(Right4(x0)) |
| Begin(s(x0)) | → | Wait(Right5(x0)) |
| Right1(f(End(x0))) | → | Left(s(0(End(x0)))) |
| Right2(d(End(x0))) | → | Left(0(End(x0))) |
| Right3(d(End(x0))) | → | Left(s(s(d(p(s(End(x0))))))) |
| Right4(f(End(x0))) | → | Left(d(f(p(s(End(x0)))))) |
| Right5(p(End(x0))) | → | Left(End(x0)) |
| Right1(f(x0)) | → | Af(Right1(x0)) |
| Right2(f(x0)) | → | Af(Right2(x0)) |
| Right3(f(x0)) | → | Af(Right3(x0)) |
| Right4(f(x0)) | → | Af(Right4(x0)) |
| Right5(f(x0)) | → | Af(Right5(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)) |
| 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)) |
| Right1(d(x0)) | → | Ad(Right1(x0)) |
| Right2(d(x0)) | → | Ad(Right2(x0)) |
| Right3(d(x0)) | → | Ad(Right3(x0)) |
| Right4(d(x0)) | → | Ad(Right4(x0)) |
| Right5(d(x0)) | → | Ad(Right5(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)) |
| Af(Left(x0)) | → | Left(f(x0)) |
| A0(Left(x0)) | → | Left(0(x0)) |
| As(Left(x0)) | → | Left(s(x0)) |
| Ad(Left(x0)) | → | Left(d(x0)) |
| Ap(Left(x0)) | → | Left(p(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| f(0(x0)) | → | s(0(x0)) |
| d(0(x0)) | → | 0(x0) |
| d(s(x0)) | → | s(s(d(p(s(x0))))) |
| f(s(x0)) | → | d(f(p(s(x0)))) |
| p(s(x0)) | → | x0 |