Consider the following premises. It is not raining. If it is late, then Susan is climbing a mountain. If Robert plays a game, then it is late. It is raining if and only if Joseph is a soldier. If Susan climbs a mountain, then Joseph is a soldier. Can we infer the following from them? Robert is playing a game.
 From the fact that if Robert plays a game, then it is late, and that if it is late, then Susan is climbing a mountain we can infer that if Robert plays a game, then Susan is climbing a mountain. From the fact that it is raining if and only if Joseph is a soldier, and that it is not raining we can infer that Joseph is not a soldier. From the fact that if Robert plays a game, then Susan is climbing a mountain, and that if Susan climbs a mountain, then Joseph is a soldier we can infer that if Robert plays a game, then Joseph is a soldier. Finally, from the fact that if Robert plays a game, then Joseph is a soldier, and that Joseph is not a soldier we can infer that Robert is not playing a game, which contradicts that Robert is playing a game. Therefore, the answer is no.