Translate the following inference to logic notation: For all x, x_16 will play squash. For all x, if x_16 plays squash, then x_16 is listening to a song. There is at least one x for which if x_16 listens to a song, then x_16 is playing squash. Therefore there is at least one x for which x_16 will listen to a song or x_16 is a nurse.
forall x: P(x). forall x: P(x) -> Q(x). exists x: Q(x) -> P(x). Therefore exists x: Q(x) or R(x).