Translate the following inference to logic notation: For all x, if x_5 climbs a mountain, then x_5 is an artist. There is at least one x for which if x_5 listens to a song, then x_5 is an artist. For all x, if x_5 were an artist, then x_5 is climbing a mountain. For all x, x_5 will not climb a mountain. Therefore there is at least one x for which x_5 will not listen to a song.
forall x: P(x) -> Q(x). exists x: R(x) -> Q(x). forall x: Q(x) -> P(x). forall x: ~P(x). Therefore exists x: ~R(x).