Translate the following inference to logic notation: For all x, if x_5 were a police officer, then x_5 is taking a plane. For all x, if x_5 takes a plane, then x_5 is not a lawyer. For all x, x_5 is a lawyer. For all x, if x_5 goes running, then x_5 is a police officer. Therefore for all x, x_5 will not go running.
forall x: P(x) -> Q(x). forall x: Q(x) -> ~R(x). forall x: R(x). forall x: S(x) -> P(x). Therefore forall x: ~S(x).