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: James is cooking or John is not sleeping. John is not sleeping. James is cooking if and only if John is sleeping.
If John sleeps, then James is cooking can be inferred via the rewriting rule. If James cooks, then John is sleeping can be inferred via the biconditional elimination rule. If John sleeps, then James is cooking can be inferred via the biconditional elimination rule. James is not cooking can be inferred via the biconditional elimination rule.