Consider the following premises. For all x_11, x_11 will not play tennis. For all x_11, x_11 is a janitor. There is at least one x_11 for which x_11 will play tennis if and only if x_11 will play a game. For all x_11, if x_11 were a janitor, then x_11 is playing a game. Can we infer the following from them? For all x_11, x_11 is not a soldier.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.