Consider the following premises. For all x_6, x_6 is a politician. For all x_6, x_6 will go running or x_6 is not a politician. For all x_6, if x_6 goes running, then x_6 is listening to a song. Can we infer the following from them? For all x_6, x_6 will listen to a song.
 From the fact that for all x_6, x_6 will go running or x_6 is not a politician we can infer that for all x_6, if x_6 were a politician, then x_6 is running. From the fact that for all x_6, if x_6 were a politician, then x_6 is running, and that for all x_6, if x_6 goes running, then x_6 is listening to a song we can infer that for all x_6, if x_6 were a politician, then x_6 is listening to a song. Finally, from the fact that for all x_6, if x_6 were a politician, then x_6 is listening to a song, and that for all x_6, x_6 is a politician we can infer that for all x_6, x_6 will listen to a song. Therefore, the answer is yes.