Consider the following premises. If Mary goes running, then Michael is driving a car. If Robert climbs a mountain, then it is raining. If Michael drives a car, then Robert is climbing a mountain. If it rains, then Mary is running. Can we infer the following from them? If we can, name the inference rule being used: The fact that it rains does not imply that Michael is driving a car.
 From the fact that if Michael drives a car, then Robert is climbing a mountain, and that if Robert climbs a mountain, then it is raining we can infer that if Michael drives a car, then it is raining via transitivity. Finally, from the fact that if it rains, then Mary is running, and that if Mary goes running, then Michael is driving a car we can infer that if it rains, then Michael is driving a car via transitivity, which contradicts that The fact that it rains does not imply that Michael is driving a car. Therefore, the answer is no.