Consider the following premises. Robert is playing a game or it is snowing. If it is cloudy, then Robert is not a taxi driver. For all x_14, if x_14 plays a game, then x_14 is a taxi driver. If it snows, then Robert is a taxi driver. Can we infer the following from them? If we can, name the inference rule being used: It is not cloudy.
 From the fact that for all x_14, if x_14 plays a game, then x_14 is a taxi driver we can infer that if Robert plays a game, then Robert is a taxi driver via universal instantiation. From the fact that if Robert plays a game, then Robert is a taxi driver, that if it snows, then Robert is a taxi driver, and that Robert is playing a game or it is snowing we can infer that Robert is a taxi driver via disjunction elimination. Finally, from the fact that if it is cloudy, then Robert is not a taxi driver, and that Robert is a taxi driver we can infer that it is not cloudy via modus tollens. Therefore, the answer is yes.