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 is not excited. For all x, x is a bartender if and only if x will drink water. For all x, x is excited or x will not drink water.
For all x, if x drinks water, then x is excited can be inferred via the universal rewriting rule. For all x, if x were a bartender, then x is drinking water can be inferred via the universal biconditional elimination rule. For all x, if x drinks water, then x is a bartender can be inferred via the universal biconditional elimination rule.