Consider the following premises. For all x_2, x_2 will not cook or x_2 is a taxi driver. There is at least one x_2 for which x_2 will cook or x_2 will play a game. For all x_2, if x_2 plays a game, then x_2 is running. For all x_2, if x_2 were a taxi driver, then x_2 is running. Can we infer the following from them? For all x_2, x_2 will not go running.
 From the fact that there is at least one x_2 for which x_2 will cook or x_2 will play a game, and that for all x_2, x_2 will not cook or x_2 is a taxi driver we can infer that there is at least one x_2 for which x_2 will play a game or x_2 is a taxi driver. Finally, from the fact that for all x_2, if x_2 plays a game, then x_2 is running, that for all x_2, if x_2 were a taxi driver, then x_2 is running, and that there is at least one x_2 for which x_2 will play a game or x_2 is a taxi driver we can infer that there is at least one x_2 for which x_2 will go running, which contradicts that For all x_2, x_2 will not go running. Therefore, the answer is no.