Translate the following inference to logic notation: There is at least one x for which x_12 will drink water if and only if x_12 is a bartender. For all x, if x_12 writes a letter, then x_12 is an artist. For all x, x_12 is a bartender or x_12 is not an artist. Therefore there is at least one x for which if x_12 writes a letter, then x_12 is drinking water.
exists x: P(x) <-> Q(x). forall x: R(x) -> S(x). forall x: Q(x) or ~S(x). Therefore exists x: R(x) -> P(x).