Translate the following inference to logic notation: There is at least one x for which x_7 will listen to a song or x_7 is not a sailor. For all x, x_7 is a sailor or x_7 will not sleep. Therefore there is at least one x for which if x_7 sleeps, then x_7 is listening to a song.
exists x: P(x) or ~Q(x). forall x: Q(x) or ~R(x). Therefore exists x: R(x) -> P(x).