Consider the following premises. John is running if and only if Sarah is driving a car. For all x_12, x_12 will not read a book. For all x_12, x_12 will drink water if and only if x_12 will go running. For all x_12, x_12 will read a book if and only if x_12 will drink water. Can we infer the following from them? If we can, name the inference rule being used: Sarah is driving a car.
 From the fact that for all x_12, x_12 will read a book if and only if x_12 will drink water, and that for all x_12, x_12 will not read a book we can infer that for all x_12, x_12 will not drink water via universal biconditional elimination. From the fact that for all x_12, x_12 will drink water if and only if x_12 will go running, and that for all x_12, x_12 will not drink water we can infer that for all x_12, x_12 will not go running via universal biconditional elimination. From the fact that for all x_12, x_12 will not go running we can infer that John is not running via universal instantiation. Finally, from the fact that John is running if and only if Sarah is driving a car, and that John is not running we can infer that Sarah is not driving a car via biconditional elimination, which contradicts that Sarah is driving a car. Therefore, the answer is no.