Translate the following inference to logic notation: For all x, x_3 will not drink water. For all x, x_3 is a doctor or x_3 will drink water. There is at least one x for which x_3 is not a doctor or x_3 is a soldier. Therefore there is at least one x for which x_3 is a soldier.
forall x: ~P(x). forall x: Q(x) or P(x). exists x: ~Q(x) or R(x). Therefore exists x: R(x).