MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { f(0()) -> true() , f(1()) -> false() , f(s(x)) -> f(x) , if(true(), x, y) -> x , if(false(), x, y) -> y , g(x, c(y)) -> g(x, g(s(c(y)), y)) , g(s(x), s(y)) -> if(f(x), s(x), s(y)) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..