Translate the following inference to logic notation: There is at least one x for which x_2 will not play squash. For all x, x_2 will play a game or x_2 is a doctor. For all x, if x_2 plays a game, then x_2 is playing squash. Therefore there is at least one x for which x_2 is a doctor.
exists x: ~P(x). forall x: Q(x) or R(x). forall x: Q(x) -> P(x). Therefore exists x: R(x).