Consider the following premises. For all x_9, x_9 will play a game if and only if x_9 will listen to a song. For all x_9, x_9 will not play a game. For all x_9, x_9 will listen to a song. Can we infer the following from them? There is at least one x_9 for which neither x_9 will go running nor x_9 is a politician.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.