Consider the following premises. For all x_6, x_6 will not cook. For all x_6, if x_6 works, then x_6 is cooking. For all x_6, if x_6 works, then x_6 is driving a car. For all x_6, x_6 will work if and only if x_6 will drive a car. Can we infer the following from them? There is at least one x_6 for which x_6 will drive a car.
 From the fact that for all x_6, if x_6 works, then x_6 is cooking, and that for all x_6, x_6 will not cook we can infer that for all x_6, x_6 will not work. From the fact that for all x_6, x_6 will work if and only if x_6 will drive a car we can infer that for all x_6, if x_6 drives a car, then x_6 is working. From the fact that for all x_6, if x_6 works, then x_6 is driving a car, and that for all x_6, if x_6 drives a car, then x_6 is working we can infer that for all x_6, x_6 will work if and only if x_6 will drive a car. Finally, from the fact that for all x_6, x_6 will work if and only if x_6 will drive a car, and that for all x_6, x_6 will not work we can infer that for all x_6, x_6 will not drive a car, which contradicts that There is at least one x_6 for which x_6 will drive a car. Therefore, the answer is no.