Translate the following inference to logic notation: For all x, x_11 is a police officer or x_11 will listen to a song. There is at least one x for which if x_11 listens to a song, then x_11 is a nurse. For all x, x_11 is not a police officer. Therefore there is at least one x for which x_11 is a nurse or x_11 is an artist.
forall x: P(x) or Q(x). exists x: Q(x) -> R(x). forall x: ~P(x). Therefore exists x: R(x) or S(x).