Consider the following premises. For all x_3, x_3 will take a plane or x_3 will listen to a song. For all x_3, x_3 will climb a mountain if and only if x_3 will take a plane. For all x_3, x_3 will not climb a mountain. Can we infer the following from them? There is at least one x_3 for which x_3 will not listen to a song.
 From the fact that for all x_3, x_3 will climb a mountain if and only if x_3 will take a plane, and that for all x_3, x_3 will not climb a mountain we can infer that for all x_3, x_3 will not take a plane. Finally, from the fact that for all x_3, x_3 will take a plane or x_3 will listen to a song, and that for all x_3, x_3 will not take a plane we can infer that for all x_3, x_3 will listen to a song, which contradicts that There is at least one x_3 for which x_3 will not listen to a song. Therefore, the answer is no.