Translate the following inference to logic notation: For all x, if x_4 goes running, then x_4 is fast. For all x, if x_4 were fast, then x_4 is running. For all x, if x_4 were a soldier, then x_4 is fast. Therefore for all x, if x_4 were a soldier, then x_4 is running.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: R(x) -> Q(x). Therefore forall x: R(x) -> P(x).