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