Translate the following inference to logic notation: For all x, x_6 is a poet or x_6 is not an astronaut. For all x, x_6 is an astronaut. There is at least one x for which x_6 will listen to a song. Therefore there is at least one x for which x_6 will listen to a song and x_6 is a poet.
forall x: P(x) or ~Q(x). forall x: Q(x). exists x: R(x). Therefore exists x: R(x) and P(x).