Translate the following inference to logic notation: For all x, if x_5 were a doctor, then x_5 is a janitor. For all x, if x_5 were a bartender, then x_5 is a janitor. For all x, x_5 is a bartender. Therefore for all x, x_5 is a janitor or x_5 is excited.
forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: R(x). Therefore forall x: Q(x) or S(x).