Translate the following inference to logic notation: For all x, x_13 will play squash or x_13 is a bartender. For all x, if x_13 writes a letter, then x_13 is listening to a song. For all x, if x_13 sleeps, then x_13 is listening to a song. There is at least one x for which x_13 will not play squash. For all x, x_13 will write a letter or x_13 will sleep. Therefore there is at least one x for which x_13 will listen to a song and x_13 is a bartender.
forall x: P(x) or Q(x). forall x: R(x) -> S(x). forall x: T(x) -> S(x). exists x: ~P(x). forall x: R(x) or T(x). Therefore exists x: S(x) and Q(x).