Consider the following premises. If Thomas plays squash, then it is sunny. It is cold. Thomas is playing squash or Robert is playing a game. If it is sunny, then it is not cold. Can we infer the following from them? If we can, name the inference rule being used: Robert is not playing a game.
 From the fact that if it is sunny, then it is not cold, and that it is cold we can infer that it is not sunny via modus tollens. From the fact that if Thomas plays squash, then it is sunny, and that it is not sunny we can infer that Thomas is not playing squash via modus tollens. Finally, from the fact that Thomas is playing squash or Robert is playing a game, and that Thomas is not playing squash we can infer that Robert is playing a game via disjunctive syllogism, which contradicts that Robert is not playing a game. Therefore, the answer is no.