Translate the following inference to logic notation: For all x, if x_5 takes a plane, then x_5 is a bartender. For all x, x_5 is not a bartender. For all x, x_5 will sleep. For all x, x_5 will take a plane or x_5 will go running. Therefore for all x, x_5 will sleep and x_5 will go running.
forall x: P(x) -> Q(x). forall x: ~Q(x). forall x: R(x). forall x: P(x) or S(x). Therefore forall x: R(x) and S(x).