Translate the following inference to logic notation: There is at least one x for which if x_12 were excited, then x_12 is taking a plane. For all x, x_12 will not take a plane. For all x, x_12 is excited if and only if x_12 is an artist. Therefore there is at least one x for which x_12 is not an artist.
exists x: P(x) -> Q(x). forall x: ~Q(x). forall x: P(x) <-> R(x). Therefore exists x: ~R(x).