Consider the following premises. Patricia is playing a game or Barbara is climbing a mountain. For all x_15, x_15 will drink water or x_15 is sad. For all x_15, if x_15 were sad, then x_15 is making tea. For all x_15, if x_15 plays a game, then x_15 is not making tea. For all x_15, x_15 will not drink water. Can we infer the following from them? Barbara is climbing a mountain.
 From the fact that for all x_15, x_15 will drink water or x_15 is sad, and that for all x_15, x_15 will not drink water we can infer that for all x_15, x_15 is sad. From the fact that for all x_15, if x_15 were sad, then x_15 is making tea, and that for all x_15, x_15 is sad we can infer that for all x_15, x_15 will make tea. From the fact that for all x_15, if x_15 plays a game, then x_15 is not making tea, and that for all x_15, x_15 will make tea we can infer that for all x_15, x_15 will not play a game. From the fact that for all x_15, x_15 will not play a game we can infer that Patricia is not playing a game. Finally, from the fact that Patricia is playing a game or Barbara is climbing a mountain, and that Patricia is not playing a game we can infer that Barbara is climbing a mountain. Therefore, the answer is yes.