Translate the following inference to logic notation: For all x, if x_9 were a bartender, then x_9 is a sailor. For all x, if x_9 cooks, then x_9 is a sailor. There is at least one x for which x_9 will cook or x_9 is a bartender. Therefore there is at least one x for which x_9 is a sailor or x_9 will listen to a song.
forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). exists x: R(x) or P(x). Therefore exists x: Q(x) or S(x).