Consider the following premises. There is at least one x_10 for which x_10 is a janitor if and only if x_10 is a politician. For all x_10, x_10 will not go running or x_10 is a janitor. For all x_10, x_10 will go running or x_10 is bored. For all x_10, x_10 is bored if and only if x_10 is a politician. Can we infer the following from them? For all x_10, x_10 is not a politician.
 From the fact that there is at least one x_10 for which x_10 is a janitor if and only if x_10 is a politician we can infer that there is at least one x_10 for which if x_10 were a janitor, then x_10 is a politician. From the fact that for all x_10, x_10 will go running or x_10 is bored, and that for all x_10, x_10 will not go running or x_10 is a janitor we can infer that for all x_10, x_10 is bored or x_10 is a janitor. From the fact that for all x_10, x_10 is bored if and only if x_10 is a politician we can infer that for all x_10, if x_10 were bored, then x_10 is a politician. Finally, from the fact that for all x_10, if x_10 were bored, then x_10 is a politician, that there is at least one x_10 for which if x_10 were a janitor, then x_10 is a politician, and that for all x_10, x_10 is bored or x_10 is a janitor we can infer that there is at least one x_10 for which x_10 is a politician, which contradicts that For all x_10, x_10 is not a politician. Therefore, the answer is no.