by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(f(x0)) | → | Wait(Right1(x0)) |
| Begin(c(x0)) | → | Wait(Right2(x0)) |
| Begin(s(x0)) | → | Wait(Right3(x0)) |
| Begin(f(x0)) | → | Wait(Right4(x0)) |
| Right1(c(End(x0))) | → | Left(f(c(c(End(x0))))) |
| Right2(c(End(x0))) | → | Left(c(End(x0))) |
| Right3(n(End(x0))) | → | Left(f(s(s(End(x0))))) |
| Right4(n(End(x0))) | → | Left(f(n(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)) |
| Right1(n(x0)) | → | An(Right1(x0)) |
| Right2(n(x0)) | → | An(Right2(x0)) |
| Right3(n(x0)) | → | An(Right3(x0)) |
| Right4(n(x0)) | → | An(Right4(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)) |
| Right1(s(x0)) | → | As(Right1(x0)) |
| Right2(s(x0)) | → | As(Right2(x0)) |
| Right3(s(x0)) | → | As(Right3(x0)) |
| Right4(s(x0)) | → | As(Right4(x0)) |
| Af(Left(x0)) | → | Left(f(x0)) |
| An(Left(x0)) | → | Left(n(x0)) |
| Ac(Left(x0)) | → | Left(c(x0)) |
| As(Left(x0)) | → | Left(s(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| f(x0) | → | n(c(c(x0))) |
| c(f(x0)) | → | f(c(c(x0))) |
| c(c(x0)) | → | c(x0) |
| n(s(x0)) | → | f(s(s(x0))) |
| n(f(x0)) | → | f(n(x0)) |
| t0 | = | Begin(f(n(End(x4666)))) |
| →ε | Wait(Right4(n(End(x4666)))) | |
| →1 | Wait(Left(f(n(End(x4666))))) | |
| →ε | Begin(f(n(End(x4666)))) | |
| = | t3 |