Consider the following premises. For all x_5, x_5 will work or x_5 will play tennis. For all x_5, if x_5 works, then x_5 is a carpenter. There is at least one x_5 for which if x_5 plays tennis, then x_5 is a taxi driver. For all x_5, if x_5 were a carpenter, then x_5 is cooking. For all x_5, if x_5 cooks, then x_5 is a taxi driver. Can we infer the following from them? For all x_5, x_5 is not a taxi driver.
 From the fact that for all x_5, if x_5 works, then x_5 is a carpenter, and that for all x_5, if x_5 were a carpenter, then x_5 is cooking we can infer that for all x_5, if x_5 works, then x_5 is cooking. From the fact that for all x_5, if x_5 works, then x_5 is cooking, and that for all x_5, if x_5 cooks, then x_5 is a taxi driver we can infer that for all x_5, if x_5 works, then x_5 is a taxi driver. Finally, from the fact that for all x_5, if x_5 works, then x_5 is a taxi driver, that there is at least one x_5 for which if x_5 plays tennis, then x_5 is a taxi driver, and that for all x_5, x_5 will work or x_5 will play tennis we can infer that there is at least one x_5 for which x_5 is a taxi driver, which contradicts that For all x_5, x_5 is not a taxi driver. Therefore, the answer is no.