Translate the following inference to logic notation: For all x, x_4 is a doctor or x_4 will not drink water. For all x, x_4 will play a game or x_4 will drink water. For all x, if x_4 were an office clerk, then x_4 is a doctor. For all x, x_4 will not play a game or x_4 is an office clerk. Therefore for all x, x_4 is a doctor.
forall x: P(x) or ~Q(x). forall x: R(x) or Q(x). forall x: S(x) -> P(x). forall x: ~R(x) or S(x). Therefore forall x: P(x).