Translate the following inference to logic notation: There is at least one x for which if x_9 were a taxi driver, then x_9 is excited. For all x, x_9 is a taxi driver. For all x, x_9 is not excited. Therefore there is at least one x for which x_9 will work.
exists x: P(x) -> Q(x). forall x: P(x). forall x: ~Q(x). Therefore exists x: R(x).