Translate the following inference to logic notation: For all x, x_9 is a police officer. For all x, x_9 is not a police officer. For all x, x_9 is a taxi driver and x_9 is happy. Therefore for all x, x_9 will play a game and x_9 is a taxi driver.
forall x: P(x). forall x: ~P(x). forall x: Q(x) and R(x). Therefore forall x: S(x) and Q(x).