Consider the following premises. For all x_3, if x_3 goes running, then x_3 is not cooking. For all x_3, x_3 will cook and x_3 will drive a car. Can we infer the following from them? If we can, name the inference rule being used: For all x_3, if x_3 goes running, then x_3 is not cooking.
That is one of the premises. Therefore, the answer is yes.