Translate the following inference to logic notation: For all x, if x_6 goes running, then x_6 is a soldier. For all x, x_6 is a soldier or x_6 is not an office clerk. For all x, x_6 will go running or x_6 is an office clerk. For all x, x_6 is a police officer. Therefore for all x, x_6 is a soldier and x_6 is a police officer.
forall x: P(x) -> Q(x). forall x: Q(x) or ~R(x). forall x: P(x) or R(x). forall x: S(x). Therefore forall x: Q(x) and S(x).