Translate the following inference to logic notation: For all x, x_12 is poor or x_12 is an astronaut. For all x, x_12 is a musician. There is at least one x for which if x_12 were an astronaut, then x_12 is a poet. For all x, if x_12 were a musician, then x_12 is playing squash. For all x, if x_12 were poor, then x_12 is a poet. Therefore there is at least one x for which x_12 will play squash and x_12 is a poet.
forall x: P(x) or Q(x). forall x: R(x). exists x: Q(x) -> S(x). forall x: R(x) -> T(x). forall x: P(x) -> S(x). Therefore exists x: T(x) and S(x).