Consider the following premises. Richard is not working. If it is sunny, then Mary is playing a game. If Mary plays a game, then Richard is working. David is a sailor. Can we infer the following from them? It is not sunny.
 From the fact that if it is sunny, then Mary is playing a game, and that if Mary plays a game, then Richard is working we can infer that if it is sunny, then Richard is working. Finally, from the fact that if it is sunny, then Richard is working, and that Richard is not working we can infer that it is not sunny. Therefore, the answer is yes.