Translate the following inference to logic notation: There is at least one x for which x_4 is a lawyer or x_4 is a cashier. For all x, if x_4 were a cashier, then x_4 is listening to a song. For all x, x_4 is not a lawyer. Therefore there is at least one x for which x_4 will listen to a song.
exists x: P(x) or Q(x). forall x: Q(x) -> R(x). forall x: ~P(x). Therefore exists x: R(x).