Translate the following inference to logic notation: For all x, x_8 is excited if and only if x_8 is an artist. For all x, if x_8 were a bartender, then x_8 is excited. There is at least one x for which x_8 is not an artist. Therefore there is at least one x for which x_8 is not a bartender.
forall x: P(x) <-> Q(x). forall x: R(x) -> P(x). exists x: ~Q(x). Therefore exists x: ~R(x).