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, if x drinks water, then x is curious. For all x, if x were curious, then x is working. For all x, x is not curious. For all x, x will work if and only if x will drink water.
For all x, x will not drink water can be inferred via the universal modus tollens rule. For all x, if x drinks water, then x is working can be inferred via the universal transitivity rule. For all x, if x works, then x is drinking water can be inferred via the universal biconditional elimination rule. For all x, if x drinks water, then x is working can be inferred via the universal biconditional elimination rule.