Consider the following premises. There is at least one x_6 for which if x_6 were a soldier, then x_6 is listening to a song. For all x_6, if x_6 listens to a song, then x_6 is a soldier. For all x_6, if x_6 listens to a song, then x_6 is a soldier. Can we infer the following from them? For all x_6, if is not true that x_6 is a soldier if and only if x_6 will listen to a song.
 From the fact that there is at least one x_6 for which if x_6 were a soldier, then x_6 is listening to a song, and that for all x_6, if x_6 listens to a song, then x_6 is a soldier we can infer that there is at least one x_6 for which x_6 is a soldier if and only if x_6 will listen to a song. From the fact that there is at least one x_6 for which x_6 is a soldier if and only if x_6 will listen to a song we can infer that there is at least one x_6 for which if x_6 were a soldier, then x_6 is listening to a song. Finally, from the fact that there is at least one x_6 for which if x_6 were a soldier, then x_6 is listening to a song, and that for all x_6, if x_6 listens to a song, then x_6 is a soldier we can infer that there is at least one x_6 for which x_6 is a soldier if and only if x_6 will listen to a song, which contradicts that For all x_6, if is not true that x_6 is a soldier if and only if x_6 will listen to a song. Therefore, the answer is no.