Translate the following inference to logic notation: There is at least one x for which z_3 is a poet or z_3 will listen to a song. For all x, z_3 is a doctor or z_3 will make tea. For all x, z_3 is not a doctor. For all x, z_3 is not a poet. Therefore there is at least one x for which z_3 will listen to a song and z_3 will make tea.
exists x: P(x) or Q(x). forall x: R(x) or S(x). forall x: ~R(x). forall x: ~P(x). Therefore exists x: Q(x) and S(x).