Consider the following premises. For all x_8, x_8 is not a soldier or x_8 is a janitor. For all x_8, if x_8 were a janitor, then x_8 is climbing a mountain. For all x_8, if x_8 goes running, then x_8 is not climbing a mountain. For all x_8, x_8 is not a politician or x_8 is an astronaut. For all x_8, if x_8 were an astronaut, then x_8 is climbing a mountain. For all x_8, x_8 is a soldier or x_8 is a politician. Can we infer the following from them? For all x_8, x_8 will not go running.
 From the fact that for all x_8, x_8 is a soldier or x_8 is a politician, and that for all x_8, x_8 is not a soldier or x_8 is a janitor we can infer that for all x_8, x_8 is a politician or x_8 is a janitor. From the fact that for all x_8, x_8 is a politician or x_8 is a janitor, and that for all x_8, x_8 is not a politician or x_8 is an astronaut we can infer that for all x_8, x_8 is a janitor or x_8 is an astronaut. From the fact that for all x_8, if x_8 were a janitor, then x_8 is climbing a mountain, that for all x_8, if x_8 were an astronaut, then x_8 is climbing a mountain, and that for all x_8, x_8 is a janitor or x_8 is an astronaut we can infer that for all x_8, x_8 will climb a mountain. Finally, from the fact that for all x_8, if x_8 goes running, then x_8 is not climbing a mountain, and that for all x_8, x_8 will climb a mountain we can infer that for all x_8, x_8 will not go running. Therefore, the answer is yes.