Consider the following premises. It is windy or Charles is writing a letter. If it is windy, then it is overcast. If it snows, then it is raining. If Charles writes a letter, then it is raining. If it is overcast, then it is snowing. Can we infer the following from them? It is not raining.
 From the fact that if it is windy, then it is overcast, and that if it is overcast, then it is snowing we can infer that if it is windy, then it is snowing. From the fact that if it is windy, then it is snowing, and that if it snows, then it is raining we can infer that if it is windy, then it is raining. Finally, from the fact that if it is windy, then it is raining, that if Charles writes a letter, then it is raining, and that it is windy or Charles is writing a letter we can infer that it is raining, which contradicts that It is not raining. Therefore, the answer is no.