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