Translate the following inference to logic notation: For all x, if x_5 were an astronaut, then x_5 is making tea. For all x, x_5 will sleep. For all x, if x_5 makes tea, then x_5 is playing squash. For all x, x_5 is an astronaut. Therefore for all x, x_5 will play squash and x_5 will sleep.
forall x: P(x) -> Q(x). forall x: R(x). forall x: Q(x) -> S(x). forall x: P(x). Therefore forall x: S(x) and R(x).