Consider the following premises. For all x_8, if x_8 were a soldier, then x_8 is playing a game. For all x_8, if x_8 plays a game, then x_8 is a soldier. Jennifer is a soldier if and only if Thomas is climbing a mountain. Jennifer is not playing a game. Can we infer the following from them? Thomas is climbing a mountain.
 From the fact that for all x_8, if x_8 were a soldier, then x_8 is playing a game, and that for all x_8, if x_8 plays a game, then x_8 is a soldier we can infer that for all x_8, x_8 is a soldier if and only if x_8 will play a game. From the fact that for all x_8, x_8 is a soldier if and only if x_8 will play a game we can infer that Jennifer is a soldier if and only if Jennifer is playing a game. From the fact that Jennifer is a soldier if and only if Jennifer is playing a game, and that Jennifer is not playing a game we can infer that Jennifer is not a soldier. Finally, from the fact that Jennifer is a soldier if and only if Thomas is climbing a mountain, and that Jennifer is not a soldier we can infer that Thomas is not climbing a mountain, which contradicts that Thomas is climbing a mountain. Therefore, the answer is no.