Consider the following premises. James is making tea if and only if Susan is climbing a mountain. Richard is playing a game. If Susan sleeps, then Susan is climbing a mountain. If James makes tea, then Richard is not playing a game. Can we infer the following from them? If we can, name the inference rule being used: Susan is sleeping.
 From the fact that if James makes tea, then Richard is not playing a game, and that Richard is playing a game we can infer that James is not making tea via modus tollens. From the fact that James is making tea if and only if Susan is climbing a mountain, and that James is not making tea we can infer that Susan is not climbing a mountain via biconditional elimination. Finally, from the fact that if Susan sleeps, then Susan is climbing a mountain, and that Susan is not climbing a mountain we can infer that Susan is not sleeping via modus tollens, which contradicts that Susan is sleeping. Therefore, the answer is no.