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: For all x_7, x_7 will not climb a mountain. There is at least one x_7 for which x_7 will cook or x_7 will not read a book. For all x_7, x_7 will climb a mountain or x_7 will read a book.
For all x_7, x_7 will read a book can be inferred via the universal disjunctive syllogism rule. There is at least one x_7 for which if x_7 reads a book, then x_7 is cooking can be inferred via the existential rewriting rule.