Translate the following inference to logic notation: For all x, x_11 is a poet or x_11 will listen to a song. For all x, x_11 is a doctor. For all x, x_11 is a poet if and only if x_11 is rich. For all x, x_11 is not rich. Therefore Karen is listening to a song.
forall x: P(x) or Q(x). forall x: R(x). forall x: P(x) <-> S(x). forall x: ~S(x). Therefore Q(a).