Consider the following premises. For all x_5, x_5 is a mechanic or x_5 will listen to a song. There is at least one x_5 for which x_5 is not a mechanic. For all x_5, x_5 is a soldier. Can we infer the following from them? There is at least one x_5 for which x_5 will listen to a song and x_5 is a soldier.
 From the fact that for all x_5, x_5 is a mechanic or x_5 will listen to a song, and that there is at least one x_5 for which x_5 is not a mechanic we can infer that there is at least one x_5 for which x_5 will listen to a song. Finally, from the fact that there is at least one x_5 for which x_5 will listen to a song, and that for all x_5, x_5 is a soldier we can infer that there is at least one x_5 for which x_5 will listen to a song and x_5 is a soldier. Therefore, the answer is yes.