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: It is overcast if and only if James is cooking. Robert is not driving a car or James is bored. It is not overcast. Robert is driving a car.
It is not overcast and Robert is driving a car can be inferred via the conjunction rule. Robert is driving a car and it is not overcast can be inferred via the conjunction rule. If it is overcast, then James is cooking can be inferred via the biconditional elimination rule. If James cooks, then it is overcast can be inferred via the biconditional elimination rule. James is not cooking can be inferred via the biconditional elimination rule.