MAYBE MAYBE TRS: { minus(x, 0()) -> x, minus(minus(x, y), z) -> minus(x, plus(y, z)), minus(s(x), s(y)) -> minus(x, y), quot(0(), s(y)) -> 0(), quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))), plus(0(), y) -> y, plus(s(x), y) -> s(plus(x, y)) } DUP: We consider a duplicating system. Trs: { minus(x, 0()) -> x, minus(minus(x, y), z) -> minus(x, plus(y, z)), minus(s(x), s(y)) -> minus(x, y), quot(0(), s(y)) -> 0(), quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))), plus(0(), y) -> y, plus(s(x), y) -> s(plus(x, y)) } Fail