Translate the following inference to logic notation: For all x, if x_6 were a lawyer, then x_6 is a bartender. There is at least one x for which x_6 is a bartender or x_6 will not listen to a song. For all x, x_6 will listen to a song. Therefore there is at least one x for which x_6 is a bartender.
forall x: P(x) -> Q(x). exists x: Q(x) or ~R(x). forall x: R(x). Therefore exists x: Q(x).