Consider the following premises. Linda is not a janitor. For all x_10, if x_10 were a janitor, then x_10 is listening to a song. For all x_10, if x_10 listens to a song, then x_10 is a janitor. Can we infer the following from them? Linda is not listening to a song.
 From the fact that for all x_10, if x_10 were a janitor, then x_10 is listening to a song, and that for all x_10, if x_10 listens to a song, then x_10 is a janitor we can infer that for all x_10, x_10 is a janitor if and only if x_10 will listen to a song. From the fact that for all x_10, x_10 is a janitor if and only if x_10 will listen to a song we can infer that for all x_10, if x_10 listens to a song, then x_10 is a janitor. From the fact that for all x_10, if x_10 listens to a song, then x_10 is a janitor we can infer that if Linda listens to a song, then Linda is a janitor. Finally, from the fact that if Linda listens to a song, then Linda is a janitor, and that Linda is not a janitor we can infer that Linda is not listening to a song. Therefore, the answer is yes.