Consider the following premises. For all x_6, x_6 will sleep. For all x_6, if x_6 listens to a song, then x_6 is not sleeping. There is at least one x_6 for which x_6 will drive a car if and only if x_6 is a cashier. For all x_6, if x_6 were a cashier, then x_6 is listening to a song. Can we infer the following from them? There is at least one x_6 for which x_6 will not drive a car.
 From the fact that for all x_6, if x_6 listens to a song, then x_6 is not sleeping, and that for all x_6, x_6 will sleep we can infer that for all x_6, x_6 will not listen to a song. From the fact that for all x_6, if x_6 were a cashier, then x_6 is listening to a song, and that for all x_6, x_6 will not listen to a song we can infer that for all x_6, x_6 is not a cashier. Finally, from the fact that there is at least one x_6 for which x_6 will drive a car if and only if x_6 is a cashier, and that for all x_6, x_6 is not a cashier we can infer that there is at least one x_6 for which x_6 will not drive a car. Therefore, the answer is yes.