What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: There is at least one x_11 for which if x_11 were a nurse, then x_11 is reading a book. For all x_11, x_11 will climb a mountain or x_11 will not write a letter. For all x_11, x_11 will write a letter or x_11 is a nurse. For all x_11, x_11 will climb a mountain or x_11 will not read a book.
For all x_11, if x_11 writes a letter, then x_11 is climbing a mountain can be inferred via the universal rewriting rule. For all x_11, if x_11 reads a book, then x_11 is climbing a mountain can be inferred via the universal rewriting rule.