Translate the following inference to logic notation: There is at least one x for which x_14 will cook. For all x, x_14 is a lawyer and x_14 is an artist. For all x, x_14 is a janitor. Therefore there is at least one x for which x_14 is a janitor and x_14 is a lawyer.
exists x: P(x). forall x: Q(x) and R(x). forall x: S(x). Therefore exists x: S(x) and Q(x).