by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(f(x0)) | → | Wait(Right1(x0)) |
| Begin(f(x0)) | → | Wait(Right2(x0)) |
| Begin(b(x0)) | → | Wait(Right3(x0)) |
| Begin(b(x0)) | → | Wait(Right4(x0)) |
| Begin(c(x0)) | → | Wait(Right5(x0)) |
| Begin(d(x0)) | → | Wait(Right6(x0)) |
| Begin(d(d(x0))) | → | Wait(Right7(x0)) |
| Begin(d(x0)) | → | Wait(Right8(x0)) |
| Right1(f(End(x0))) | → | Left(b(b(b(End(x0))))) |
| Right2(a(End(x0))) | → | Left(f(a(a(End(x0))))) |
| Right3(b(End(x0))) | → | Left(c(c(a(c(End(x0)))))) |
| Right4(d(End(x0))) | → | Left(d(a(b(End(x0))))) |
| Right5(c(End(x0))) | → | Left(d(d(d(End(x0))))) |
| Right6(b(End(x0))) | → | Left(d(b(End(x0)))) |
| Right7(c(End(x0))) | → | Left(f(End(x0))) |
| Right8(c(d(End(x0)))) | → | Left(f(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)) |
| Right6(f(x0)) | → | Af(Right6(x0)) |
| Right7(f(x0)) | → | Af(Right7(x0)) |
| Right8(f(x0)) | → | Af(Right8(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)) |
| 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)) |
| 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)) |
| Right8(c(x0)) | → | Ac(Right8(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)) |
| Right6(d(x0)) | → | Ad(Right6(x0)) |
| Right7(d(x0)) | → | Ad(Right7(x0)) |
| Right8(d(x0)) | → | Ad(Right8(x0)) |
| Af(Left(x0)) | → | Left(f(x0)) |
| Ab(Left(x0)) | → | Left(b(x0)) |
| Aa(Left(x0)) | → | Left(a(x0)) |
| Ac(Left(x0)) | → | Left(c(x0)) |
| Ad(Left(x0)) | → | Left(d(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| f(f(x0)) | → | b(b(b(x0))) |
| a(f(x0)) | → | f(a(a(x0))) |
| b(b(x0)) | → | c(c(a(c(x0)))) |
| d(b(x0)) | → | d(a(b(x0))) |
| c(c(x0)) | → | d(d(d(x0))) |
| b(d(x0)) | → | d(b(x0)) |
| c(d(d(x0))) | → | f(x0) |
| t0 | = | Begin(d(b(End(x19265)))) |
| →ε | Wait(Right6(b(End(x19265)))) | |
| →1 | Wait(Left(d(b(End(x19265))))) | |
| →ε | Begin(d(b(End(x19265)))) | |
| = | t3 |