MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { cond1(true(), x, y, z) -> cond2(gr(x, 0()), x, y, z) , cond2(true(), x, y, z) -> cond1(or(gr(x, z), gr(y, z)), p(x), y, z) , cond2(false(), x, y, z) -> cond3(gr(y, 0()), x, y, z) , gr(0(), x) -> false() , gr(s(x), 0()) -> true() , gr(s(x), s(y)) -> gr(x, y) , or(x, true()) -> true() , or(true(), x) -> true() , or(false(), false()) -> false() , p(0()) -> 0() , p(s(x)) -> x , cond3(true(), x, y, z) -> cond1(or(gr(x, z), gr(y, z)), x, p(y), z) , cond3(false(), x, y, z) -> cond1(or(gr(x, z), gr(y, z)), x, y, z) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..