Translate the following inference to logic notation: For all x, if x_3 listens to a song, then x_3 is a poet. For all x, if x_3 were a poet, then x_3 is not driving a car. For all x, x_3 will drive a car. For all x, if x_3 were a poet, then x_3 is listening to a song. Therefore for all x, x_3 will not listen to a song.
forall x: P(x) -> Q(x). forall x: Q(x) -> ~R(x). forall x: R(x). forall x: Q(x) -> P(x). Therefore forall x: ~P(x).