Translate the following inference to logic notation: If it is sunny, then Barbara is not driving a car. If it is late, then Barbara is driving a car. For all x, y_3 will listen to a song if and only if y_3 will drive a car. Barbara is listening to a song or it is late. Therefore it is not sunny.
p -> ~P(a). q -> P(a). forall x: Q(x) <-> P(x). Q(a) or q. Therefore ~p.