Consider the following premises. John is playing a game or Elisabeth is a soldier. It is snowing or Elisabeth is not a soldier. It is snowing if and only if John is playing a game. Can we infer the following from them? It is not snowing.
 From the fact that it is snowing if and only if John is playing a game we can infer that if John plays a game, then it is snowing. From the fact that it is snowing or Elisabeth is not a soldier we can infer that if Elisabeth were a soldier, then it is snowing. Finally, from the fact that if John plays a game, then it is snowing, that if Elisabeth were a soldier, then it is snowing, and that John is playing a game or Elisabeth is a soldier we can infer that it is snowing, which contradicts that It is not snowing. Therefore, the answer is no.