Translate the following inference to logic notation: For all x, if y_1 listens to a song, then y_1 is not poor. For all x, y_1 will listen to a song or y_1 will not play squash. There is at least one x for which y_1 is poor. Therefore there is at least one x for which y_1 will not play squash.
forall x: P(x) -> ~Q(x). forall x: P(x) or ~R(x). exists x: Q(x). Therefore exists x: ~R(x).