Translate the following inference to logic notation: For all x, if x_14 listens to a song, then x_14 is excited. If Thomas were a bartender, then John is not a nurse. For all x, x_14 will listen to a song. For all x, if x_14 were excited, then x_14 is a nurse. Therefore Thomas is not a bartender.
forall x: P(x) -> Q(x). p -> ~R(a). forall x: P(x). forall x: Q(x) -> R(x). Therefore ~p.