Consider the following premises. There is at least one x_10 for which if x_10 writes a letter, then x_10 is curious. For all x_10, x_10 will go running. For all x_10, x_10 is not curious. For all x_10, x_10 will write a letter or x_10 will sleep. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, x_10 will write a letter or x_10 will sleep.
That is one of the premises. Therefore, the answer is yes.