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_8, x_8 will sleep. For all x_8, x_8 will go running if and only if x_8 will sleep. For all x_8, if x_8 cooks, then x_8 is not running.
For all x_8, if x_8 goes running, then x_8 is sleeping can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 sleeps, then x_8 is running can be inferred via the universal biconditional elimination rule.