MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { le(0(), y) -> true() , le(s(x), 0()) -> false() , le(s(x), s(y)) -> le(x, y) , quot(x, 0()) -> quotZeroErro() , quot(x, s(y)) -> quotIter(x, s(y), 0(), 0(), 0()) , quotIter(x, s(y), z, u, v) -> if(le(x, z), x, s(y), z, u, v) , if(true(), x, y, z, u, v) -> v , if(false(), x, y, z, u, v) -> if2(le(y, s(u)), x, y, s(z), s(u), v) , if2(true(), x, y, z, u, v) -> quotIter(x, y, z, 0(), s(v)) , if2(false(), x, y, z, u, v) -> quotIter(x, y, z, u, v) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..