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