Consider the following premises. For all x_10, if x_10 makes tea, then x_10 is driving a car. There is at least one x_10 for which x_10 will go running. For all x_10, x_10 is a carpenter or x_10 will make tea. For all x_10, x_10 will drive a car or x_10 will not write a letter. For all x_10, if x_10 were a carpenter, then x_10 is writing a letter. Can we infer the following from them? There is at least one x_10 for which x_10 will go running and x_10 will drive a car.
 From the fact that for all x_10, x_10 will drive a car or x_10 will not write a letter we can infer that for all x_10, if x_10 writes a letter, then x_10 is driving a car. From the fact that for all x_10, if x_10 were a carpenter, then x_10 is writing a letter, and that for all x_10, if x_10 writes a letter, then x_10 is driving a car we can infer that for all x_10, if x_10 were a carpenter, then x_10 is driving a car. From the fact that for all x_10, if x_10 were a carpenter, then x_10 is driving a car, that for all x_10, if x_10 makes tea, then x_10 is driving a car, and that for all x_10, x_10 is a carpenter or x_10 will make tea we can infer that for all x_10, x_10 will drive a car. Finally, from the fact that there is at least one x_10 for which x_10 will go running, and that for all x_10, x_10 will drive a car we can infer that there is at least one x_10 for which x_10 will go running and x_10 will drive a car. Therefore, the answer is yes.