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