Translate the following inference to logic notation: For all x, if x_21 plays squash, then x_21 is poor. For all x, if x_21 were a politician, then x_21 is poor. For all x, x_21 is poor if and only if x_21 is excited. For all x, x_21 is a politician or x_21 will play squash. Therefore William is excited or it is cloudy.
forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: Q(x) <-> S(x). forall x: R(x) or P(x). Therefore S(a) or p.