Consider the following premises. If Karen drives a car, then Karen is drinking water. Karen is not driving a car. For all x_12, if x_12 drinks water, then x_12 is driving a car. Can we infer the following from them? If we can, name the inference rule being used: Karen is not drinking water.
 From the fact that for all x_12, if x_12 drinks water, then x_12 is driving a car we can infer that if Karen drinks water, then Karen is driving a car via universal instantiation. From the fact that if Karen drinks water, then Karen is driving a car, and that if Karen drives a car, then Karen is drinking water we can infer that Karen is drinking water if and only if Karen is driving a car via biconditional introduction. From the fact that Karen is drinking water if and only if Karen is driving a car we can infer that if Karen drinks water, then Karen is driving a car via biconditional elimination. Finally, from the fact that if Karen drinks water, then Karen is driving a car, and that Karen is not driving a car we can infer that Karen is not drinking water via modus tollens. Therefore, the answer is yes.