Consider the following premises. James is a server. If Barbara drinks water, then James is playing a game. It is windy. If it is windy, then Barbara is drinking water. Can we infer the following from them? If we can, name the inference rule being used: James is not playing a game.
 From the fact that if it is windy, then Barbara is drinking water, and that if Barbara drinks water, then James is playing a game we can infer that if it is windy, then James is playing a game via transitivity. Finally, from the fact that if it is windy, then James is playing a game, and that it is windy we can infer that James is playing a game via modus ponens, which contradicts that James is not playing a game. Therefore, the answer is no.