Translate the following inference to logic notation: For all x, if z_4 were curious, then z_4 is an astronaut. For all x, if z_4 sleeps, then z_4 is curious. For all x, if z_4 were an astronaut, then z_4 is sleeping. Therefore for all x, if z_4 were an astronaut, then z_4 is curious.
forall x: P(x) -> Q(x). forall x: R(x) -> P(x). forall x: Q(x) -> R(x). Therefore forall x: Q(x) -> P(x).