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