Consider the following premises. For all x_6, x_6 will not go running. For all x_6, x_6 will play a game or x_6 is a janitor. For all x_6, x_6 will go running if and only if x_6 is a janitor. There is at least one x_6 for which x_6 will not play a game or x_6 is an astronaut. Can we infer the following from them? For all x_6, x_6 will play a game or x_6 is a janitor.
That is one of the premises. Therefore, the answer is yes.