Consider the following premises. There is at least one x_9 for which if x_9 were a carpenter, then x_9 is a nurse. For all x_9, if x_9 were a sailor, then x_9 is a carpenter. For all x_9, x_9 will drive a car or x_9 is a sailor. For all x_9, if x_9 were a nurse, then x_9 is cooking. For all x_9, if x_9 drives a car, then x_9 is a carpenter. Can we infer the following from them? There is at least one x_9 for which x_9 will cook.
 From the fact that for all x_9, if x_9 drives a car, then x_9 is a carpenter, that for all x_9, if x_9 were a sailor, then x_9 is a carpenter, and that for all x_9, x_9 will drive a car or x_9 is a sailor we can infer that for all x_9, x_9 is a carpenter. From the fact that there is at least one x_9 for which if x_9 were a carpenter, then x_9 is a nurse, and that for all x_9, if x_9 were a nurse, then x_9 is cooking we can infer that there is at least one x_9 for which if x_9 were a carpenter, then x_9 is cooking. Finally, from the fact that there is at least one x_9 for which if x_9 were a carpenter, then x_9 is cooking, and that for all x_9, x_9 is a carpenter we can infer that there is at least one x_9 for which x_9 will cook. Therefore, the answer is yes.