Translate the following inference to logic notation: For all x, if x_6 were an astronaut, then x_6 is playing a game. For all x, if x_6 makes tea, then x_6 is a politician. For all x, if x_6 plays a game, then x_6 is making tea. For all x, if x_6 were a politician, then x_6 is an astronaut. Therefore for all x, if x_6 were an astronaut, then x_6 is a politician.
forall x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: Q(x) -> R(x). forall x: S(x) -> P(x). Therefore forall x: P(x) -> S(x).