Translate the following inference to logic notation: For all x, x_19 is a scientist or x_19 is a bartender. For all x, x_19 will play tennis if and only if x_19 is a scientist. For all x, x_19 is a musician and x_19 is a carpenter. There is at least one x for which x_19 will not play tennis. Therefore there is at least one x for which x_19 is a bartender and x_19 is a musician.
forall x: P(x) or Q(x). forall x: R(x) <-> P(x). forall x: S(x) and T(x). exists x: ~R(x). Therefore exists x: Q(x) and S(x).