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: If it is overcast, then it is raining. It is overcast if and only if Karen is a poet. It is snowing if and only if Linda is curious. If it rains, then Linda is curious. It is not snowing.
If it is overcast, then Linda is curious can be inferred via the transitivity rule. If it is overcast, then Karen is a poet can be inferred via the biconditional elimination rule. If it snows, then Linda is curious can be inferred via the biconditional elimination rule. If Karen were a poet, then it is overcast can be inferred via the biconditional elimination rule. If Linda were curious, then it is snowing can be inferred via the biconditional elimination rule. Linda is not curious can be inferred via the biconditional elimination rule.