Consider the following premises. For all x_4, if x_4 goes running, then x_4 is a taxi driver. There is at least one x_4 for which x_4 will listen to a song if and only if x_4 will go running. Can we infer the following from them? There is at least one x_4 for which if x_4 listens to a song, then x_4 is a taxi driver.
 From the fact that there is at least one x_4 for which x_4 will listen to a song if and only if x_4 will go running we can infer that there is at least one x_4 for which if x_4 listens to a song, then x_4 is running. Finally, from the fact that there is at least one x_4 for which if x_4 listens to a song, then x_4 is running, and that for all x_4, if x_4 goes running, then x_4 is a taxi driver we can infer that there is at least one x_4 for which if x_4 listens to a song, then x_4 is a taxi driver. Therefore, the answer is yes.