Translate the following inference to logic notation: There is at least one x for which if x_7 listens to a song, then x_7 is a server. For all x, x_7 is a server. For all x, if x_7 were a server, then x_7 is listening to a song. Therefore there is at least one x for which x_7 will listen to a song.
exists x: P(x) -> Q(x). forall x: Q(x). forall x: Q(x) -> P(x). Therefore exists x: P(x).