Translate the following inference to logic notation: There is at least one x for which x_7 is a doctor or x_7 will not drive a car. For all x, x_7 is not a nurse. For all x, x_7 is a nurse or x_7 will drive a car. Therefore there is at least one x for which x_7 is a doctor.
exists x: P(x) or ~Q(x). forall x: ~R(x). forall x: R(x) or Q(x). Therefore exists x: P(x).