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, x will cook if and only if x will drink water. For all x, x will go running or x will not cook. For all x, x will not go running.
For all x, if x cooks, then x is running can be inferred via the universal rewriting rule. For all x, if x cooks, then x is drinking water can be inferred via the universal biconditional elimination rule. For all x, if x drinks water, then x is cooking can be inferred via the universal biconditional elimination rule.