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 snowing. Jessica is taking a plane. Mary is not a taxi driver. Mary is a taxi driver if and only if Thomas is listening to a song.
It is snowing and Jessica is taking a plane can be inferred via the conjunction rule. It is snowing and Mary is not a taxi driver can be inferred via the conjunction rule. Jessica is taking a plane and it is snowing can be inferred via the conjunction rule. Jessica is taking a plane and Mary is not a taxi driver can be inferred via the conjunction rule. Mary is not a taxi driver and it is snowing can be inferred via the conjunction rule. Mary is not a taxi driver and Jessica is taking a plane can be inferred via the conjunction rule. If Mary were a taxi driver, then Thomas is listening to a song can be inferred via the biconditional elimination rule. If Thomas listens to a song, then Mary is a taxi driver can be inferred via the biconditional elimination rule. Thomas is not listening to a song can be inferred via the biconditional elimination rule.