Translate the following inference to logic notation: For all x, x_12 is a doctor or x_12 is a nurse. There is at least one x for which if x_12 were a doctor, then x_12 is driving a car. For all x, if x_12 were a nurse, then x_12 is driving a car. For all x, x_12 will take a plane and x_12 is poor. Therefore there is at least one x for which x_12 will take a plane and x_12 will drive a car.
forall x: P(x) or Q(x). exists x: P(x) -> R(x). forall x: Q(x) -> R(x). forall x: S(x) and T(x). Therefore exists x: S(x) and R(x).