Consider the following premises. There is at least one x_12 for which if x_12 drives a car, then x_12 is taking a plane. For all x_12, if x_12 cooks, then x_12 is taking a plane. For all x_12, if x_12 takes a plane, then x_12 is driving a car. For all x_12, if x_12 takes a plane, then x_12 is cooking. Can we infer the following from them? There is at least one x_12 for which if x_12 cooks, then x_12 is driving a car.
 From the fact that for all x_12, if x_12 cooks, then x_12 is taking a plane, and that for all x_12, if x_12 takes a plane, then x_12 is cooking we can infer that for all x_12, x_12 will cook if and only if x_12 will take a plane. From the fact that for all x_12, if x_12 takes a plane, then x_12 is driving a car, and that there is at least one x_12 for which if x_12 drives a car, then x_12 is taking a plane we can infer that there is at least one x_12 for which x_12 will take a plane if and only if x_12 will drive a car. From the fact that there is at least one x_12 for which x_12 will take a plane if and only if x_12 will drive a car we can infer that there is at least one x_12 for which if x_12 takes a plane, then x_12 is driving a car. From the fact that for all x_12, x_12 will cook if and only if x_12 will take a plane we can infer that for all x_12, if x_12 cooks, then x_12 is taking a plane. Finally, from the fact that for all x_12, if x_12 cooks, then x_12 is taking a plane, and that there is at least one x_12 for which if x_12 takes a plane, then x_12 is driving a car we can infer that there is at least one x_12 for which if x_12 cooks, then x_12 is driving a car. Therefore, the answer is yes.