Translate the following inference to logic notation: For all x, x_2 will not play a game. For all x, x_2 is a police officer if and only if x_2 is a writer. For all x, x_2 is a writer or x_2 will cook. For all x, x_2 will play a game or x_2 is not a police officer. Therefore for all x, x_2 will cook.
forall x: ~P(x). forall x: Q(x) <-> R(x). forall x: R(x) or S(x). forall x: P(x) or ~Q(x). Therefore forall x: S(x).