Consider the following premises. For all x_4, x_4 will listen to a song. There is at least one x_4 for which if x_4 were a nurse, then x_4 is a poet. For all x_4, x_4 is a poet or x_4 will not listen to a song. Can we infer the following from them? For all x_4, x_4 is not a poet.
 From the fact that for all x_4, x_4 is a poet or x_4 will not listen to a song we can infer that for all x_4, if x_4 listens to a song, then x_4 is a poet. From the fact that for all x_4, x_4 will listen to a song we can infer that for all x_4, x_4 will listen to a song or x_4 is a nurse. Finally, from the fact that for all x_4, if x_4 listens to a song, then x_4 is a poet, that there is at least one x_4 for which if x_4 were a nurse, then x_4 is a poet, and that for all x_4, x_4 will listen to a song or x_4 is a nurse we can infer that there is at least one x_4 for which x_4 is a poet, which contradicts that For all x_4, x_4 is not a poet. Therefore, the answer is no.