Consider the following premises. For all x_14, if x_14 plays a game, then x_14 is a doctor. It is raining or Barbara is playing a game. Jessica is running. If it rains, then Barbara is a doctor. Can we infer the following from them? Barbara is not a doctor.
 From the fact that for all x_14, if x_14 plays a game, then x_14 is a doctor we can infer that if Barbara plays a game, then Barbara is a doctor. Finally, from the fact that if it rains, then Barbara is a doctor, that if Barbara plays a game, then Barbara is a doctor, and that it is raining or Barbara is playing a game we can infer that Barbara is a doctor, which contradicts that Barbara is not a doctor. Therefore, the answer is no.