Consider the following premises. For all x_8, if x_8 listens to a song, then x_8 is taking a plane. For all x_8, x_8 will climb a mountain if and only if x_8 will work. There is at least one x_8 for which if x_8 takes a plane, then x_8 is climbing a mountain. For all x_8, x_8 will work. Can we infer the following from them? There is at least one x_8 for which x_8 will climb a mountain.
 From the fact that for all x_8, if x_8 listens to a song, then x_8 is taking a plane, and that there is at least one x_8 for which if x_8 takes a plane, then x_8 is climbing a mountain we can infer that there is at least one x_8 for which if x_8 listens to a song, then x_8 is climbing a mountain. From the fact that for all x_8, x_8 will climb a mountain if and only if x_8 will work we can infer that for all x_8, if x_8 works, then x_8 is climbing a mountain. From the fact that for all x_8, x_8 will work we can infer that for all x_8, x_8 will work or x_8 will listen to a song. Finally, from the fact that for all x_8, if x_8 works, then x_8 is climbing a mountain, that there is at least one x_8 for which if x_8 listens to a song, then x_8 is climbing a mountain, and that for all x_8, x_8 will work or x_8 will listen to a song we can infer that there is at least one x_8 for which x_8 will climb a mountain. Therefore, the answer is yes.