Translate the following inference to logic notation: For all x, if x_5 makes tea, then x_5 is taking a plane. For all x, if x_5 were an astronaut, then x_5 is working. For all x, if x_5 works, then x_5 is making tea. For all x, x_5 is an astronaut. Therefore for all x, x_5 will take a plane.
forall x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: S(x) -> P(x). forall x: R(x). Therefore forall x: Q(x).