Translate the following inference to logic notation: For all x, if x_5 cooks, then x_5 is taking a plane. For all x, x_5 is a cashier. For all x, x_5 will climb a mountain. For all x, if x_5 climbs a mountain, then x_5 is cooking. Therefore for all x, x_5 will take a plane and x_5 is a cashier.
forall x: P(x) -> Q(x). forall x: R(x). forall x: S(x). forall x: S(x) -> P(x). Therefore forall x: Q(x) and R(x).