Translate the following inference to logic notation: For all x, if x_5 were an office clerk, then x_5 is running. For all x, x_5 is rich or x_5 is an office clerk. For all x, if x_5 were rich, then x_5 is running. For all x, x_5 is a mechanic. Therefore for all x, x_5 is a mechanic.
forall x: P(x) -> Q(x). forall x: R(x) or P(x). forall x: R(x) -> Q(x). forall x: S(x). Therefore forall x: S(x).