Consider the following premises. David is climbing a mountain if and only if it is windy. It is overcast if and only if David is climbing a mountain. James is a police officer or it is windy. James is not a police officer or it is overcast. Can we infer the following from them? David is not climbing a mountain.
 From the fact that James is a police officer or it is windy, and that James is not a police officer or it is overcast we can infer that it is windy or it is overcast. From the fact that it is overcast if and only if David is climbing a mountain we can infer that if it is overcast, then David is climbing a mountain. From the fact that David is climbing a mountain if and only if it is windy we can infer that if it is windy, then David is climbing a mountain. Finally, from the fact that if it is windy, then David is climbing a mountain, that if it is overcast, then David is climbing a mountain, and that it is windy or it is overcast we can infer that David is climbing a mountain, which contradicts that David is not climbing a mountain. Therefore, the answer is no.