Consider the following premises. For all x_12, if x_12 goes running, then x_12 is driving a car. If William drives a car, then it is cloudy. If it is cloudy, then William is running. Can we infer the following from them? If we can, name the inference rule being used: The fact that William goes running does not imply that William is driving a car.
That contradicts the premises. Therefore the answer is no.