Translate the following inference to logic notation: For all x, if z drives a car, then z is listening to a song. For all x, if z listens to a song, then z is driving a car. For all x, z will not drive a car. Therefore for all x, z will not listen to a song.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: ~P(x). Therefore forall x: ~Q(x).