TIMEOUT We are left with following problem, upon which TcT provides the certificate TIMEOUT. Strict Trs: { if(true(), t, e) -> t , if(false(), t, e) -> e , member(x, []()) -> false() , member(x, ::(y, ys)) -> if(eq(x, y), true(), member(x, ys)) , eq([](), []()) -> true() , eq(O(x), O(y)) -> eq(x, y) , eq(O(x), 1(y)) -> false() , eq(1(x), O(y)) -> false() , eq(1(x), 1(y)) -> eq(x, y) , negate(1(x)) -> 0(x) , negate(0(x)) -> 1(x) , choice(::(x, xs)) -> x , choice(::(x, xs)) -> choice(xs) , guess([]()) -> []() , guess(::(clause, cnf)) -> ::(choice(clause), guess(cnf)) , verify([]()) -> true() , verify(::(l, ls)) -> if(member(negate(l), ls), false(), verify(ls)) , sat(cnf) -> satck(cnf, guess(cnf)) , satck(cnf, assign) -> if(verify(assign), assign, unsat()) } Obligation: runtime complexity Answer: TIMEOUT Computation stopped due to timeout after 300.0 seconds. Arrrr..