Translate the following inference to logic notation: For all x, if x_5 were a poet, then x_5 is playing tennis. For all x, if x_5 plays tennis, then x_5 is driving a car. For all x, if x_5 drives a car, then x_5 is cooking. For all x, x_5 is a poet. Therefore for all x, x_5 will cook.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> S(x). forall x: P(x). Therefore forall x: S(x).