Consider the following premises. There is at least one x_12 for which if x_12 were a soldier, then x_12 is sleeping. For all x_12, x_12 will climb a mountain and x_12 will write a letter. For all x_12, x_12 is a soldier. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_12 for which if x_12 were a soldier, then x_12 is sleeping.
That is one of the premises. Therefore, the answer is yes.