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