Translate the following inference to logic notation: For all x, if y_1 takes a plane, then y_1 is listening to a song. For all x, if y_1 listens to a song, then y_1 is taking a plane. For all x, if y_1 takes a plane, then y_1 is listening to a song. For all x, y_1 will not listen to a song. Therefore for all x, y_1 will not take a plane.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: P(x) -> Q(x). forall x: ~Q(x). Therefore forall x: ~P(x).