Translate the following inference to logic notation: For all x, x_7 is a doctor and x_7 is curious. There is at least one x for which if x_7 listens to a song, then x_7 is a scientist. For all x, if x_7 were a scientist, then x_7 is not a doctor. Therefore there is at least one x for which x_7 will not listen to a song.
forall x: P(x) and Q(x). exists x: R(x) -> S(x). forall x: S(x) -> ~P(x). Therefore exists x: ~R(x).