Translate the following inference to logic notation: There is at least one x for which x_5 will drive a car. For all x, x_5 is a lawyer. For all x, if x_5 drives a car, then x_5 is not a lawyer. Therefore there is at least one x for which x_5 is a police officer.
exists x: P(x). forall x: Q(x). forall x: P(x) -> ~Q(x). Therefore exists x: R(x).