Consider the following premises. It is cloudy or it is overcast. If it rains, then it is sunny. It is not cloudy. It is raining. Can we infer the following from them? It is not sunny.
 From the fact that it is cloudy or it is overcast, and that it is not cloudy we can infer that it is overcast. Finally, from the fact that if it rains, then it is sunny, and that it is raining we can infer that it is sunny, which contradicts that It is not sunny. Therefore, the answer is no.