Consider the following premises. Linda is not rich. If Susan plays a game, then Jennifer is fast. Linda is rich or Jennifer is not fast. Can we infer the following from them? If we can, name the inference rule being used: Susan is playing a game.
 From the fact that Linda is rich or Jennifer is not fast we can infer that if Jennifer were fast, then Linda is rich via rewriting. From the fact that if Susan plays a game, then Jennifer is fast, and that if Jennifer were fast, then Linda is rich we can infer that if Susan plays a game, then Linda is rich via transitivity. Finally, from the fact that if Susan plays a game, then Linda is rich, and that Linda is not rich we can infer that Susan is not playing a game via modus tollens, which contradicts that Susan is playing a game. Therefore, the answer is no.