MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { qsort(nil()) -> nil() , qsort(.(x, y)) -> ++(qsort(lowers(x, y)), .(x, qsort(greaters(x, y)))) , lowers(x, nil()) -> nil() , lowers(x, .(y, z)) -> if(<=(y, x), .(y, lowers(x, z)), lowers(x, z)) , greaters(x, nil()) -> nil() , greaters(x, .(y, z)) -> if(<=(y, x), greaters(x, z), .(y, greaters(x, z))) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..