Translate the following inference to logic notation: For all x, if z_1 were a police officer, then z_1 is fast. For all x, if z_1 drives a car, then z_1 is fast. For all x, z_1 will not drive a car. For all x, if z_1 were fast, then z_1 is driving a car. Therefore for all x, z_1 is not a police officer.
forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: ~R(x). forall x: Q(x) -> R(x). Therefore forall x: ~P(x).