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