Consider the following premises. There is at least one x_6 for which x_6 is a janitor or x_6 will go running. For all x_6, x_6 will work or x_6 is not a janitor. For all x_6, if x_6 works, then x_6 is a mechanic. For all x_6, if x_6 goes running, then x_6 is a mechanic. Can we infer the following from them? There is at least one x_6 for which x_6 is a mechanic.
 From the fact that for all x_6, x_6 will work or x_6 is not a janitor we can infer that for all x_6, if x_6 were a janitor, then x_6 is working. From the fact that for all x_6, if x_6 were a janitor, then x_6 is working, and that for all x_6, if x_6 works, then x_6 is a mechanic we can infer that for all x_6, if x_6 were a janitor, then x_6 is a mechanic. Finally, from the fact that for all x_6, if x_6 were a janitor, then x_6 is a mechanic, that for all x_6, if x_6 goes running, then x_6 is a mechanic, and that there is at least one x_6 for which x_6 is a janitor or x_6 will go running we can infer that there is at least one x_6 for which x_6 is a mechanic. Therefore, the answer is yes.