Translate the following inference to logic notation: For all x, if y_4 listens to a song, then y_4 is reading a book. For all x, y_4 will listen to a song or y_4 will not play squash. For all x, y_4 will sleep if and only if y_4 will read a book. Therefore for all x, if y_4 plays squash, then y_4 is sleeping.
forall x: P(x) -> Q(x). forall x: P(x) or ~R(x). forall x: S(x) <-> Q(x). Therefore forall x: R(x) -> S(x).