Translate the following inference to logic notation: For all x, if z works, then z is a soldier. For all x, if z were a soldier, then z is drinking water. For all x, if z drinks water, then z is working. Therefore for all x, if z drinks water, then z is a soldier.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> P(x). Therefore forall x: R(x) -> Q(x).