Translate the following inference to logic notation: For all x, x_12 is a police officer. There is at least one x for which x_12 will not play tennis. For all x, x_12 will play tennis. Therefore there is at least one x for which x_12 is a police officer.
forall x: P(x). exists x: ~Q(x). forall x: Q(x). Therefore exists x: P(x).