Translate the following inference to logic notation: There is at least one x for which x_8 will not play squash. For all x, x_8 will play squash if and only if x_8 will read a book. For all x, if x_8 listens to a song, then x_8 is reading a book. Therefore there is at least one x for which x_8 will not listen to a song.
exists x: ~P(x). forall x: P(x) <-> Q(x). forall x: R(x) -> Q(x). Therefore exists x: ~R(x).