Translate the following inference to logic notation: For all x, if x_5 were fast, then x_5 is a nurse. For all x, x_5 will drink water. For all x, if x_5 drinks water, then x_5 is cooking. For all x, if x_5 cooks, then x_5 is fast. Therefore for all x, x_5 is a nurse.
forall x: P(x) -> Q(x). forall x: R(x). forall x: R(x) -> S(x). forall x: S(x) -> P(x). Therefore forall x: Q(x).