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: Michael is not curious. Patricia is a cashier. It is cloudy if and only if Michael is curious. It is cloudy if and only if Robert is an office clerk.
Michael is not curious and Patricia is a cashier can be inferred via the conjunction rule. Patricia is a cashier and Michael is not curious can be inferred via the conjunction rule. If it is cloudy, then Michael is curious can be inferred via the biconditional elimination rule. If it is cloudy, then Robert is an office clerk can be inferred via the biconditional elimination rule. If Michael were curious, then it is cloudy can be inferred via the biconditional elimination rule. If Robert were an office clerk, then it is cloudy can be inferred via the biconditional elimination rule. It is not cloudy can be inferred via the biconditional elimination rule.