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