Translate the following inference to logic notation: There is at least one x for which x_10 will listen to a song and x_10 will play squash. For all x, x_10 is a bartender. For all x, if x_10 were a bartender, then x_10 is a scientist. Therefore there is at least one x for which x_10 will listen to a song and x_10 is a scientist.
exists x: P(x) and Q(x). forall x: R(x). forall x: R(x) -> S(x). Therefore exists x: P(x) and S(x).