Translate the following inference to logic notation: For all x, if x_8 were an astronaut, then x_8 is poor. For all x, x_8 is poor if and only if x_8 is a writer. For all x, x_8 is a janitor. For all x, x_8 is an astronaut or x_8 is a writer. Therefore for all x, x_8 is poor and x_8 is a janitor.
forall x: P(x) -> Q(x). forall x: Q(x) <-> R(x). forall x: S(x). forall x: P(x) or R(x). Therefore forall x: Q(x) and S(x).