Consider the following premises. Joseph is not climbing a mountain. It is sunny or it is not snowing. Joseph is climbing a mountain or it is snowing. Can we infer the following from them? It is not sunny.
 From the fact that Joseph is climbing a mountain or it is snowing, and that Joseph is not climbing a mountain we can infer that it is snowing. From the fact that it is sunny or it is not snowing we can infer that if it snows, then it is sunny. Finally, from the fact that if it snows, then it is sunny, and that it is snowing we can infer that it is sunny, which contradicts that It is not sunny. Therefore, the answer is no.