MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { double(0()) -> 0() , double(s(x)) -> s(s(double(x))) , del(x, nil()) -> nil() , del(x, cons(y, xs)) -> if(eq(x, y), x, y, xs) , if(true(), x, y, xs) -> xs , if(false(), x, y, xs) -> cons(y, del(x, xs)) , eq(0(), 0()) -> true() , eq(0(), s(y)) -> false() , eq(s(x), 0()) -> false() , eq(s(x), s(y)) -> eq(x, y) , first(nil()) -> 0() , first(cons(x, xs)) -> x , doublelist(nil()) -> nil() , doublelist(cons(x, xs)) -> cons(double(x), doublelist(del(first(cons(x, xs)), cons(x, xs)))) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..