NO
by ttt2 (version ttt2 1.15)
The rewrite relation of the following TRS is considered.
Begin(0(x0)) | → | Wait(Right1(x0)) |
Begin(s(0(x0))) | → | Wait(Right2(x0)) |
Begin(0(x0)) | → | Wait(Right3(x0)) |
Begin(s(s(x0))) | → | Wait(Right4(x0)) |
Begin(s(x0)) | → | Wait(Right5(x0)) |
Begin(s(x0)) | → | Wait(Right6(x0)) |
Begin(i(x0)) | → | Wait(Right7(x0)) |
Begin(s(x0)) | → | Wait(Right8(x0)) |
Right1(p(End(x0))) | → | Left(s(s(0(s(s(p(End(x0)))))))) |
Right2(p(End(x0))) | → | Left(0(End(x0))) |
Right3(p(s(End(x0)))) | → | Left(0(End(x0))) |
Right4(p(End(x0))) | → | Left(s(p(s(End(x0))))) |
Right5(p(s(End(x0)))) | → | Left(s(p(s(End(x0))))) |
Right6(f(End(x0))) | → | Left(g(q(i(End(x0))))) |
Right7(q(End(x0))) | → | Left(q(s(End(x0)))) |
Right8(q(End(x0))) | → | Left(s(s(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)) |
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)) |
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)) |
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(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)) |
Right1(q(x0)) | → | Aq(Right1(x0)) |
Right2(q(x0)) | → | Aq(Right2(x0)) |
Right3(q(x0)) | → | Aq(Right3(x0)) |
Right4(q(x0)) | → | Aq(Right4(x0)) |
Right5(q(x0)) | → | Aq(Right5(x0)) |
Right6(q(x0)) | → | Aq(Right6(x0)) |
Right7(q(x0)) | → | Aq(Right7(x0)) |
Right8(q(x0)) | → | Aq(Right8(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)) |
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)) |
Aq(Left(x0)) | → | Left(q(x0)) |
Ai(Left(x0)) | → | Left(i(x0)) |
Wait(Left(x0)) | → | Begin(x0) |
p(0(x0)) | → | s(s(0(s(s(p(x0)))))) |
p(s(0(x0))) | → | 0(x0) |
p(s(s(x0))) | → | s(p(s(x0))) |
f(s(x0)) | → | g(q(i(x0))) |
g(x0) | → | f(p(p(x0))) |
q(i(x0)) | → | q(s(x0)) |
q(s(x0)) | → | s(s(x0)) |
i(x0) | → | s(x0) |
t0 | = | Begin(s(p(s(End(x27909))))) |
→ε | Wait(Right5(p(s(End(x27909))))) | |
→1 | Wait(Left(s(p(s(End(x27909)))))) | |
→ε | Begin(s(p(s(End(x27909))))) | |
= | t3 |