Translate the following inference to logic notation: For all x, x_6 is not a janitor or x_6 is a poet. For all x, x_6 will not listen to a song. For all x, x_6 will listen to a song if and only if x_6 is a nurse. For all x, x_6 is a janitor or x_6 is a nurse. Therefore for all x, x_6 is a poet.
forall x: ~P(x) or Q(x). forall x: ~R(x). forall x: R(x) <-> S(x). forall x: P(x) or S(x). Therefore forall x: Q(x).