MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { null(nil()) -> true() , null(add(n, x)) -> false() , tail(nil()) -> nil() , tail(add(n, x)) -> x , head(add(n, x)) -> n , app(nil(), y) -> y , app(add(n, x), y) -> add(n, app(x, y)) , reverse(nil()) -> nil() , reverse(add(n, x)) -> app(reverse(x), add(n, nil())) , shuffle(x) -> shuff(x, nil()) , shuff(x, y) -> if(null(x), x, y, app(y, add(head(x), nil()))) , if(true(), x, y, z) -> y , if(false(), x, y, z) -> shuff(reverse(tail(x)), z) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..