Consider the following premises. For all x_10, if x_10 were a sailor, then x_10 is a carpenter. For all x_10, if x_10 goes running, then x_10 is listening to a song. For all x_10, x_10 is a sailor or x_10 will go running. For all x_10, x_10 will listen to a song or x_10 is not a carpenter. There is at least one x_10 for which x_10 will climb a mountain. Can we infer the following from them? There is at least one x_10 for which x_10 will climb a mountain and x_10 will listen to a song.
 From the fact that for all x_10, x_10 will listen to a song or x_10 is not a carpenter we can infer that for all x_10, if x_10 were a carpenter, then x_10 is listening to a song. From the fact that for all x_10, if x_10 were a sailor, then x_10 is a carpenter, and that for all x_10, if x_10 were a carpenter, then x_10 is listening to a song we can infer that for all x_10, if x_10 were a sailor, then x_10 is listening to a song. From the fact that for all x_10, if x_10 were a sailor, then x_10 is listening to a song, that for all x_10, if x_10 goes running, then x_10 is listening to a song, and that for all x_10, x_10 is a sailor or x_10 will go running we can infer that for all x_10, x_10 will listen to a song. Finally, from the fact that there is at least one x_10 for which x_10 will climb a mountain, and that for all x_10, x_10 will listen to a song we can infer that there is at least one x_10 for which x_10 will climb a mountain and x_10 will listen to a song. Therefore, the answer is yes.