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 Elisabeth plays a game, then Jennifer is running. If Jennifer goes running, then Elisabeth is playing a game. William is curious. If Elisabeth plays a game, then William is not curious.
Elisabeth is not playing a game can be inferred via the modus tollens rule. If Jennifer goes running, then William is not curious can be inferred via the transitivity rule. Elisabeth is playing a game if and only if Jennifer is running can be inferred via the biconditional introduction rule. Jennifer is running if and only if Elisabeth is playing a game can be inferred via the biconditional introduction rule.