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_12, if x_12 cooks, then x_12 is fast. For all x_12, x_12 will cook or x_12 will work. There is at least one x_12 for which x_12 is fast or x_12 will not work.
There is at least one x_12 for which if x_12 works, then x_12 is fast can be inferred via the existential rewriting rule.