MAYBE MAYBE TRS: { min(x, 0()) -> 0(), min(0(), y) -> 0(), min(s(x), s(y)) -> s(min(x, y)), max(x, 0()) -> x, max(0(), y) -> y, max(s(x), s(y)) -> s(max(x, y)), minus(x, 0()) -> x, minus(s(x), s(y)) -> s(minus(x, any(y))), any(x) -> x, any(s(x)) -> s(s(any(x))), gcd(s(x), s(y)) -> gcd(minus(max(x, y), min(x, y)), s(min(x, y))) } DUP: We consider a duplicating system. Trs: { min(x, 0()) -> 0(), min(0(), y) -> 0(), min(s(x), s(y)) -> s(min(x, y)), max(x, 0()) -> x, max(0(), y) -> y, max(s(x), s(y)) -> s(max(x, y)), minus(x, 0()) -> x, minus(s(x), s(y)) -> s(minus(x, any(y))), any(x) -> x, any(s(x)) -> s(s(any(x))), gcd(s(x), s(y)) -> gcd(minus(max(x, y), min(x, y)), s(min(x, y))) } Fail