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