by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
| Begin(0(x0)) | → | Wait(Right1(x0)) |
| Begin(s(x0)) | → | Wait(Right2(x0)) |
| Begin(p(s(x0))) | → | Wait(Right3(x0)) |
| Begin(s(x0)) | → | Wait(Right4(x0)) |
| Begin(s(x0)) | → | Wait(Right5(x0)) |
| Begin(0(x0)) | → | Wait(Right6(x0)) |
| Begin(s(s(x0))) | → | Wait(Right7(x0)) |
| Begin(s(x0)) | → | Wait(Right8(x0)) |
| Begin(0(x0)) | → | Wait(Right9(x0)) |
| Right1(p(End(x0))) | → | Left(0(s(s(p(End(x0)))))) |
| Right2(p(End(x0))) | → | Left(End(x0)) |
| Right3(p(End(x0))) | → | Left(p(End(x0))) |
| Right4(p(p(End(x0)))) | → | Left(p(End(x0))) |
| Right5(f(End(x0))) | → | Left(g(s(End(x0)))) |
| Right6(half(End(x0))) | → | Left(0(s(s(half(End(x0)))))) |
| Right7(half(End(x0))) | → | Left(s(half(p(p(s(s(End(x0)))))))) |
| Right8(half(s(End(x0)))) | → | Left(s(half(p(p(s(s(End(x0)))))))) |
| Right9(rd(End(x0))) | → | Left(0(0(0(0(0(0(rd(End(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)) |
| Right9(p(x0)) | → | Ap(Right9(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)) |
| Right9(0(x0)) | → | A0(Right9(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)) |
| Right9(s(x0)) | → | As(Right9(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)) |
| Right9(f(x0)) | → | Af(Right9(x0)) |
| Right1(g(x0)) | → | Ag(Right1(x0)) |
| Right2(g(x0)) | → | Ag(Right2(x0)) |
| Right3(g(x0)) | → | Ag(Right3(x0)) |
| Right4(g(x0)) | → | Ag(Right4(x0)) |
| Right5(g(x0)) | → | Ag(Right5(x0)) |
| Right6(g(x0)) | → | Ag(Right6(x0)) |
| Right7(g(x0)) | → | Ag(Right7(x0)) |
| Right8(g(x0)) | → | Ag(Right8(x0)) |
| Right9(g(x0)) | → | Ag(Right9(x0)) |
| Right1(i(x0)) | → | Ai(Right1(x0)) |
| Right2(i(x0)) | → | Ai(Right2(x0)) |
| Right3(i(x0)) | → | Ai(Right3(x0)) |
| Right4(i(x0)) | → | Ai(Right4(x0)) |
| Right5(i(x0)) | → | Ai(Right5(x0)) |
| Right6(i(x0)) | → | Ai(Right6(x0)) |
| Right7(i(x0)) | → | Ai(Right7(x0)) |
| Right8(i(x0)) | → | Ai(Right8(x0)) |
| Right9(i(x0)) | → | Ai(Right9(x0)) |
| Right1(half(x0)) | → | Ahalf(Right1(x0)) |
| Right2(half(x0)) | → | Ahalf(Right2(x0)) |
| Right3(half(x0)) | → | Ahalf(Right3(x0)) |
| Right4(half(x0)) | → | Ahalf(Right4(x0)) |
| Right5(half(x0)) | → | Ahalf(Right5(x0)) |
| Right6(half(x0)) | → | Ahalf(Right6(x0)) |
| Right7(half(x0)) | → | Ahalf(Right7(x0)) |
| Right8(half(x0)) | → | Ahalf(Right8(x0)) |
| Right9(half(x0)) | → | Ahalf(Right9(x0)) |
| Right1(rd(x0)) | → | Ard(Right1(x0)) |
| Right2(rd(x0)) | → | Ard(Right2(x0)) |
| Right3(rd(x0)) | → | Ard(Right3(x0)) |
| Right4(rd(x0)) | → | Ard(Right4(x0)) |
| Right5(rd(x0)) | → | Ard(Right5(x0)) |
| Right6(rd(x0)) | → | Ard(Right6(x0)) |
| Right7(rd(x0)) | → | Ard(Right7(x0)) |
| Right8(rd(x0)) | → | Ard(Right8(x0)) |
| Right9(rd(x0)) | → | Ard(Right9(x0)) |
| Ap(Left(x0)) | → | Left(p(x0)) |
| A0(Left(x0)) | → | Left(0(x0)) |
| As(Left(x0)) | → | Left(s(x0)) |
| Af(Left(x0)) | → | Left(f(x0)) |
| Ag(Left(x0)) | → | Left(g(x0)) |
| Ai(Left(x0)) | → | Left(i(x0)) |
| Ahalf(Left(x0)) | → | Left(half(x0)) |
| Ard(Left(x0)) | → | Left(rd(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| p(0(x0)) | → | 0(s(s(p(x0)))) |
| p(s(x0)) | → | x0 |
| p(p(s(x0))) | → | p(x0) |
| f(s(x0)) | → | g(s(x0)) |
| g(x0) | → | i(s(half(x0))) |
| i(x0) | → | f(p(x0)) |
| half(0(x0)) | → | 0(s(s(half(x0)))) |
| half(s(s(x0))) | → | s(half(p(p(s(s(x0)))))) |
| 0(x0) | → | x0 |
| rd(0(x0)) | → | 0(0(0(0(0(0(rd(x0))))))) |
| Begin(0(x0)) | → | Wait(Right1(x0)) |
| Begin(s(x0)) | → | Wait(Right2(x0)) |
| Begin(p(s(x0))) | → | Wait(Right3(x0)) |
| Begin(s(x0)) | → | Wait(Right4(x0)) |
| Begin(s(x0)) | → | Wait(Right5(x0)) |
| Begin(0(x0)) | → | Wait(Right6(x0)) |
| Begin(s(s(x0))) | → | Wait(Right7(x0)) |
| Begin(s(x0)) | → | Wait(Right8(x0)) |
| Begin(0(x0)) | → | Wait(Right9(x0)) |
| Right1(p(End(x0))) | → | Left(0(s(s(p(End(x0)))))) |
| Right2(p(End(x0))) | → | Left(End(x0)) |
| Right3(p(End(x0))) | → | Left(p(End(x0))) |
| Right4(p(p(End(x0)))) | → | Left(p(End(x0))) |
| Right5(f(End(x0))) | → | Left(g(s(End(x0)))) |
| Right6(half(End(x0))) | → | Left(0(s(s(half(End(x0)))))) |
| Right7(half(End(x0))) | → | Left(s(half(p(p(s(s(End(x0)))))))) |
| Right8(half(s(End(x0)))) | → | Left(s(half(p(p(s(s(End(x0)))))))) |
| Right9(rd(End(x0))) | → | Left(0(0(0(0(0(0(rd(End(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)) |
| Right9(p(x0)) | → | Ap(Right9(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)) |
| Right9(0(x0)) | → | A0(Right9(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)) |
| Right9(s(x0)) | → | As(Right9(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)) |
| Right9(f(x0)) | → | Af(Right9(x0)) |
| Right1(g(x0)) | → | Ag(Right1(x0)) |
| Right2(g(x0)) | → | Ag(Right2(x0)) |
| Right3(g(x0)) | → | Ag(Right3(x0)) |
| Right4(g(x0)) | → | Ag(Right4(x0)) |
| Right5(g(x0)) | → | Ag(Right5(x0)) |
| Right6(g(x0)) | → | Ag(Right6(x0)) |
| Right7(g(x0)) | → | Ag(Right7(x0)) |
| Right8(g(x0)) | → | Ag(Right8(x0)) |
| Right9(g(x0)) | → | Ag(Right9(x0)) |
| Right1(i(x0)) | → | Ai(Right1(x0)) |
| Right2(i(x0)) | → | Ai(Right2(x0)) |
| Right3(i(x0)) | → | Ai(Right3(x0)) |
| Right4(i(x0)) | → | Ai(Right4(x0)) |
| Right5(i(x0)) | → | Ai(Right5(x0)) |
| Right6(i(x0)) | → | Ai(Right6(x0)) |
| Right7(i(x0)) | → | Ai(Right7(x0)) |
| Right8(i(x0)) | → | Ai(Right8(x0)) |
| Right9(i(x0)) | → | Ai(Right9(x0)) |
| Right1(half(x0)) | → | Ahalf(Right1(x0)) |
| Right2(half(x0)) | → | Ahalf(Right2(x0)) |
| Right3(half(x0)) | → | Ahalf(Right3(x0)) |
| Right4(half(x0)) | → | Ahalf(Right4(x0)) |
| Right5(half(x0)) | → | Ahalf(Right5(x0)) |
| Right6(half(x0)) | → | Ahalf(Right6(x0)) |
| Right7(half(x0)) | → | Ahalf(Right7(x0)) |
| Right8(half(x0)) | → | Ahalf(Right8(x0)) |
| Right9(half(x0)) | → | Ahalf(Right9(x0)) |
| Right1(rd(x0)) | → | Ard(Right1(x0)) |
| Right2(rd(x0)) | → | Ard(Right2(x0)) |
| Right3(rd(x0)) | → | Ard(Right3(x0)) |
| Right4(rd(x0)) | → | Ard(Right4(x0)) |
| Right5(rd(x0)) | → | Ard(Right5(x0)) |
| Right6(rd(x0)) | → | Ard(Right6(x0)) |
| Right7(rd(x0)) | → | Ard(Right7(x0)) |
| Right8(rd(x0)) | → | Ard(Right8(x0)) |
| Right9(rd(x0)) | → | Ard(Right9(x0)) |
| Ap(Left(x0)) | → | Left(p(x0)) |
| A0(Left(x0)) | → | Left(0(x0)) |
| As(Left(x0)) | → | Left(s(x0)) |
| Af(Left(x0)) | → | Left(f(x0)) |
| Ag(Left(x0)) | → | Left(g(x0)) |
| Ai(Left(x0)) | → | Left(i(x0)) |
| Ahalf(Left(x0)) | → | Left(half(x0)) |
| Ard(Left(x0)) | → | Left(rd(x0)) |
| Wait(Left(x0)) | → | Begin(x0) |
| p(0(x0)) | → | 0(s(s(p(x0)))) |
| p(s(x0)) | → | x0 |
| p(p(s(x0))) | → | p(x0) |
| f(s(x0)) | → | g(s(x0)) |
| g(x0) | → | i(s(half(x0))) |
| i(x0) | → | f(p(x0)) |
| half(0(x0)) | → | 0(s(s(half(x0)))) |
| half(s(s(x0))) | → | s(half(p(p(s(s(x0)))))) |
| 0(x0) | → | x0 |
| rd(0(x0)) | → | 0(0(0(0(0(0(rd(x0))))))) |