Consider the following premises. If Barbara plays a game, then Mary is not reading a book. For all x_14, if x_14 were poor, then x_14 is reading a book. If Linda drives a car, then Mary is reading a book. Mary is poor or Linda is driving a car. Can we infer the following from them? Barbara is not playing a game.
 From the fact that for all x_14, if x_14 were poor, then x_14 is reading a book we can infer that if Mary were poor, then Mary is reading a book. From the fact that if Mary were poor, then Mary is reading a book, that if Linda drives a car, then Mary is reading a book, and that Mary is poor or Linda is driving a car we can infer that Mary is reading a book. Finally, from the fact that if Barbara plays a game, then Mary is not reading a book, and that Mary is reading a book we can infer that Barbara is not playing a game. Therefore, the answer is yes.