Consider the following premises. Jennifer is climbing a mountain. For all x_3, x_3 will not listen to a song. Thomas is listening to a song if and only if Richard is sleeping. Can we infer the following from them? Richard is not sleeping.
 From the fact that for all x_3, x_3 will not listen to a song we can infer that Thomas is not listening to a song. Finally, from the fact that Thomas is listening to a song if and only if Richard is sleeping, and that Thomas is not listening to a song we can infer that Richard is not sleeping. Therefore, the answer is yes.