Translate the following inference to logic notation: For all x, y will listen to a song or y is a soldier. For all x, if y were a soldier, then y is playing squash. There is at least one x for which y will not listen to a song. For all x, y will take a plane. Therefore there is at least one x for which y will take a plane and y will play squash.
forall x: P(x) or Q(x). forall x: Q(x) -> R(x). exists x: ~P(x). forall x: S(x). Therefore exists x: S(x) and R(x).