Translate the following inference to logic notation: For all x, x_14 is a doctor. For all x, x_14 is not a doctor. John is a cashier. Therefore there is at least one x for which x_14 will listen to a song and x_14 is a cashier.
forall x: P(x). forall x: ~P(x). Q(a). Therefore exists x: R(x) and Q(x).