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