Consider the following premises. There is at least one z for which if z sleeps, then z is driving a car. For all z, z will not read a book. For all z, if z drives a car, then z is reading a book. Can we infer the following from them? There is at least one z for which z will not sleep.
 From the fact that for all z, if z drives a car, then z is reading a book, and that for all z, z will not read a book we can infer that for all z, z will not drive a car. Finally, from the fact that there is at least one z for which if z sleeps, then z is driving a car, and that for all z, z will not drive a car we can infer that there is at least one z for which z will not sleep. Therefore, the answer is yes.