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