Consider the following premises. If Elisabeth doesn't play a game, then it is raining. Elisabeth is playing a game if and only if Robert is sad. Robert is not sad. For all x_9, x_9 will listen to a song. Can we infer the following from them? It is not raining.
 From the fact that Elisabeth is playing a game if and only if Robert is sad, and that Robert is not sad we can infer that Elisabeth is not playing a game. Finally, from the fact that if Elisabeth doesn't play a game, then it is raining, and that Elisabeth is not playing a game we can infer that it is raining, which contradicts that It is not raining. Therefore, the answer is no.