Consider the following premises. For all x_10, x_10 will not go running. If Linda were a taxi driver, then Robert is running. If William drives a car, then Linda is a taxi driver. Can we infer the following from them? If we can, name the inference rule being used: William is not driving a car.
 From the fact that for all x_10, x_10 will not go running we can infer that Robert is not running via universal instantiation. From the fact that if William drives a car, then Linda is a taxi driver, and that if Linda were a taxi driver, then Robert is running we can infer that if William drives a car, then Robert is running via transitivity. Finally, from the fact that if William drives a car, then Robert is running, and that Robert is not running we can infer that William is not driving a car via modus tollens. Therefore, the answer is yes.