Translate the following inference to logic notation: There is at least one x for which x_14 is a doctor. For all x, if x_14 were excited, then x_14 is not listening to a song. For all x, x_14 will listen to a song and x_14 will drive a car. Therefore there is at least one x for which x_14 is not excited.
exists x: P(x). forall x: Q(x) -> ~R(x). forall x: R(x) and S(x). Therefore exists x: ~Q(x).