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