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(s(x0)) | → | Wait(Right6(x0)) |
| Begin(s(x0)) | → | Wait(Right7(x0)) |
| Begin(0(x0)) | → | Wait(Right8(x0)) |
| Begin(s(s(x0))) | → | Wait(Right9(x0)) |
| Begin(s(x0)) | → | Wait(Right10(x0)) |
| Begin(0(x0)) | → | Wait(Right11(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(p(s(g(p(s(s(End(x0)))))))) |
| Right6(g(End(x0))) | → | Left(p(p(s(s(s(j(s(p(s(p(s(End(x0))))))))))))) |
| Right7(j(End(x0))) | → | Left(p(s(s(p(s(f(p(s(p(p(s(End(x0))))))))))))) |
| Right8(half(End(x0))) | → | Left(0(s(s(half(p(s(p(s(End(x0)))))))))) |
| Right9(half(End(x0))) | → | Left(s(half(p(p(s(s(End(x0)))))))) |
| Right10(half(s(End(x0)))) | → | Left(s(half(p(p(s(s(End(x0)))))))) |
| Right11(rd(End(x0))) | → | Left(0(s(0(0(0(0(s(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)) |
| Right10(p(x0)) | → | Ap(Right10(x0)) |
| Right11(p(x0)) | → | Ap(Right11(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)) |
| Right10(0(x0)) | → | A0(Right10(x0)) |
| Right11(0(x0)) | → | A0(Right11(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)) |
| Right10(s(x0)) | → | As(Right10(x0)) |
| Right11(s(x0)) | → | As(Right11(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)) |
| Right10(f(x0)) | → | Af(Right10(x0)) |
| Right11(f(x0)) | → | Af(Right11(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)) |
| Right10(g(x0)) | → | Ag(Right10(x0)) |
| Right11(g(x0)) | → | Ag(Right11(x0)) |
| Right1(j(x0)) | → | Aj(Right1(x0)) |
| Right2(j(x0)) | → | Aj(Right2(x0)) |
| Right3(j(x0)) | → | Aj(Right3(x0)) |
| Right4(j(x0)) | → | Aj(Right4(x0)) |
| Right5(j(x0)) | → | Aj(Right5(x0)) |
| Right6(j(x0)) | → | Aj(Right6(x0)) |
| Right7(j(x0)) | → | Aj(Right7(x0)) |
| Right8(j(x0)) | → | Aj(Right8(x0)) |
| Right9(j(x0)) | → | Aj(Right9(x0)) |
| Right10(j(x0)) | → | Aj(Right10(x0)) |
| Right11(j(x0)) | → | Aj(Right11(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)) |
| Right10(half(x0)) | → | Ahalf(Right10(x0)) |
| Right11(half(x0)) | → | Ahalf(Right11(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)) |
| Right10(rd(x0)) | → | Ard(Right10(x0)) |
| Right11(rd(x0)) | → | Ard(Right11(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)) |
| Aj(Left(x0)) | → | Left(j(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)) | → | p(s(g(p(s(s(x0)))))) |
| g(s(x0)) | → | p(p(s(s(s(j(s(p(s(p(s(x0))))))))))) |
| j(s(x0)) | → | p(s(s(p(s(f(p(s(p(p(s(x0))))))))))) |
| half(0(x0)) | → | 0(s(s(half(p(s(p(s(x0)))))))) |
| half(s(s(x0))) | → | s(half(p(p(s(s(x0)))))) |
| rd(0(x0)) | → | 0(s(0(0(0(0(s(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(s(x0)) | → | Wait(Right6(x0)) |
| Begin(s(x0)) | → | Wait(Right7(x0)) |
| Begin(0(x0)) | → | Wait(Right8(x0)) |
| Begin(s(s(x0))) | → | Wait(Right9(x0)) |
| Begin(s(x0)) | → | Wait(Right10(x0)) |
| Begin(0(x0)) | → | Wait(Right11(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(p(s(g(p(s(s(End(x0)))))))) |
| Right6(g(End(x0))) | → | Left(p(p(s(s(s(j(s(p(s(p(s(End(x0))))))))))))) |
| Right7(j(End(x0))) | → | Left(p(s(s(p(s(f(p(s(p(p(s(End(x0))))))))))))) |
| Right8(half(End(x0))) | → | Left(0(s(s(half(p(s(p(s(End(x0)))))))))) |
| Right9(half(End(x0))) | → | Left(s(half(p(p(s(s(End(x0)))))))) |
| Right10(half(s(End(x0)))) | → | Left(s(half(p(p(s(s(End(x0)))))))) |
| Right11(rd(End(x0))) | → | Left(0(s(0(0(0(0(s(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)) |
| Right10(p(x0)) | → | Ap(Right10(x0)) |
| Right11(p(x0)) | → | Ap(Right11(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)) |
| Right10(0(x0)) | → | A0(Right10(x0)) |
| Right11(0(x0)) | → | A0(Right11(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)) |
| Right10(s(x0)) | → | As(Right10(x0)) |
| Right11(s(x0)) | → | As(Right11(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)) |
| Right10(f(x0)) | → | Af(Right10(x0)) |
| Right11(f(x0)) | → | Af(Right11(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)) |
| Right10(g(x0)) | → | Ag(Right10(x0)) |
| Right11(g(x0)) | → | Ag(Right11(x0)) |
| Right1(j(x0)) | → | Aj(Right1(x0)) |
| Right2(j(x0)) | → | Aj(Right2(x0)) |
| Right3(j(x0)) | → | Aj(Right3(x0)) |
| Right4(j(x0)) | → | Aj(Right4(x0)) |
| Right5(j(x0)) | → | Aj(Right5(x0)) |
| Right6(j(x0)) | → | Aj(Right6(x0)) |
| Right7(j(x0)) | → | Aj(Right7(x0)) |
| Right8(j(x0)) | → | Aj(Right8(x0)) |
| Right9(j(x0)) | → | Aj(Right9(x0)) |
| Right10(j(x0)) | → | Aj(Right10(x0)) |
| Right11(j(x0)) | → | Aj(Right11(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)) |
| Right10(half(x0)) | → | Ahalf(Right10(x0)) |
| Right11(half(x0)) | → | Ahalf(Right11(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)) |
| Right10(rd(x0)) | → | Ard(Right10(x0)) |
| Right11(rd(x0)) | → | Ard(Right11(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)) |
| Aj(Left(x0)) | → | Left(j(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)) | → | p(s(g(p(s(s(x0)))))) |
| g(s(x0)) | → | p(p(s(s(s(j(s(p(s(p(s(x0))))))))))) |
| j(s(x0)) | → | p(s(s(p(s(f(p(s(p(p(s(x0))))))))))) |
| half(0(x0)) | → | 0(s(s(half(p(s(p(s(x0)))))))) |
| half(s(s(x0))) | → | s(half(p(p(s(s(x0)))))) |
| rd(0(x0)) | → | 0(s(0(0(0(0(s(0(rd(x0))))))))) |