Consider the following premises. For all x_5, if x_5 were a cashier, then x_5 is listening to a song. For all x_5, if x_5 listens to a song, then x_5 is a carpenter. For all x_5, x_5 is a cashier or x_5 will drive a car. For all x_5, if x_5 drives a car, then x_5 is a carpenter. Can we infer the following from them? For all x_5, x_5 is a carpenter or x_5 will climb a mountain.
 From the fact that for all x_5, if x_5 were a cashier, then x_5 is listening to a song, and that for all x_5, if x_5 listens to a song, then x_5 is a carpenter we can infer that for all x_5, if x_5 were a cashier, then x_5 is a carpenter. From the fact that for all x_5, if x_5 were a cashier, then x_5 is a carpenter, that for all x_5, if x_5 drives a car, then x_5 is a carpenter, and that for all x_5, x_5 is a cashier or x_5 will drive a car we can infer that for all x_5, x_5 is a carpenter. Finally, from the fact that for all x_5, x_5 is a carpenter we can infer that for all x_5, x_5 is a carpenter or x_5 will climb a mountain. Therefore, the answer is yes.