MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { -(x, 0()) -> x , -(s(x), s(y)) -> -(x, y) , min(x, 0()) -> 0() , min(0(), y) -> 0() , min(s(x), s(y)) -> s(min(x, y)) , twice(0()) -> 0() , twice(s(x)) -> s(s(twice(x))) , f(s(x), s(y)) -> f(-(x, min(x, y)), s(twice(min(x, y)))) , f(s(x), s(y)) -> f(-(y, min(x, y)), s(twice(min(x, y)))) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..