Consider the following premises. If Linda takes a plane, then it is cloudy. If Linda plays a game, then it is cloudy. For all z, z will play a game. Can we infer the following from them? It is not cloudy.
 From the fact that for all z, z will play a game we can infer that for all z, z will play a game or z will take a plane. From the fact that for all z, z will play a game or z will take a plane we can infer that Linda is playing a game or Linda is taking a plane. Finally, from the fact that if Linda plays a game, then it is cloudy, that if Linda takes a plane, then it is cloudy, and that Linda is playing a game or Linda is taking a plane we can infer that it is cloudy, which contradicts that It is not cloudy. Therefore, the answer is no.