MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { cond1(true(), x, y) -> cond2(gr(x, y), x, y) , cond2(true(), x, y) -> cond1(gr0(x), y, y) , cond2(false(), x, y) -> cond1(gr0(x), p(x), y) , gr(0(), x) -> false() , gr(s(x), 0()) -> true() , gr(s(x), s(y)) -> gr(x, y) , gr0(0()) -> false() , gr0(s(x)) -> true() , p(0()) -> 0() , p(s(x)) -> x } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..