Consider the following premises. For all x_1, if x_1 listens to a song, then x_1 is a poet. There is at least one x_1 for which x_1 is not bored. For all x_1, if x_1 were a poet, then x_1 is bored. Can we infer the following from them? For all x_1, x_1 will listen to a song.
 From the fact that for all x_1, if x_1 listens to a song, then x_1 is a poet, and that for all x_1, if x_1 were a poet, then x_1 is bored we can infer that for all x_1, if x_1 listens to a song, then x_1 is bored. Finally, from the fact that for all x_1, if x_1 listens to a song, then x_1 is bored, and that there is at least one x_1 for which x_1 is not bored we can infer that there is at least one x_1 for which x_1 will not listen to a song, which contradicts that For all x_1, x_1 will listen to a song. Therefore, the answer is no.