Consider the following premises. For all x_11, x_11 will play a game. For all x_11, if x_11 writes a letter, then x_11 is running. For all x_11, if x_11 writes a letter, then x_11 is not playing a game. For all x_11, x_11 will write a letter or x_11 will not go running. Can we infer the following from them? There is at least one x_11 for which x_11 will go running.
 From the fact that for all x_11, x_11 will write a letter or x_11 will not go running we can infer that for all x_11, if x_11 goes running, then x_11 is writing a letter. From the fact that for all x_11, if x_11 goes running, then x_11 is writing a letter, and that for all x_11, if x_11 writes a letter, then x_11 is running we can infer that for all x_11, x_11 will go running if and only if x_11 will write a letter. From the fact that for all x_11, x_11 will go running if and only if x_11 will write a letter we can infer that for all x_11, if x_11 goes running, then x_11 is writing a letter. From the fact that for all x_11, if x_11 writes a letter, then x_11 is not playing a game, and that for all x_11, x_11 will play a game we can infer that for all x_11, x_11 will not write a letter. Finally, from the fact that for all x_11, if x_11 goes running, then x_11 is writing a letter, and that for all x_11, x_11 will not write a letter we can infer that for all x_11, x_11 will not go running, which contradicts that There is at least one x_11 for which x_11 will go running. Therefore, the answer is no.