MAYBE MAYBE TRS: { g(true(), x, y, z) -> f(gt(x, z), x, y, s(z)), g(true(), x, y, z) -> f(gt(x, z), x, s(y), z), gt(s(u), s(v)) -> gt(u, v), gt(s(u), 0()) -> true(), gt(0(), v) -> false(), f(true(), x, y, z) -> g(gt(x, y), x, y, z) } DUP: We consider a duplicating system. Trs: { g(true(), x, y, z) -> f(gt(x, z), x, y, s(z)), g(true(), x, y, z) -> f(gt(x, z), x, s(y), z), gt(s(u), s(v)) -> gt(u, v), gt(s(u), 0()) -> true(), gt(0(), v) -> false(), f(true(), x, y, z) -> g(gt(x, y), x, y, z) } Fail