Translate the following inference to logic notation: There is at least one x for which x_12 is a doctor or x_12 is a scientist. For all x, x_12 will play squash. For all x, if x_12 plays squash, then x_12 is sleeping. For all x, x_12 is not a doctor. Therefore there is at least one x for which x_12 is a scientist.
exists x: P(x) or Q(x). forall x: R(x). forall x: R(x) -> S(x). forall x: ~P(x). Therefore exists x: Q(x).