Translate the following inference to logic notation: For all x, if y sleeps, then y is an astronaut. For all x, y will sleep and y is a taxi driver. For all x, y will play squash. Therefore for all x, y is an astronaut and y will play squash.
forall x: P(x) -> Q(x). forall x: P(x) and R(x). forall x: S(x). Therefore forall x: Q(x) and S(x).