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 Robert were a carpenter, then Karen is cooking. If Karen cooks, then Robert is a carpenter. Richard is bored. If Robert were a carpenter, then Richard is not bored.
Robert is not a carpenter can be inferred via the modus tollens rule. If Karen cooks, then Richard is not bored can be inferred via the transitivity rule. Robert is a carpenter if and only if Karen is cooking can be inferred via the biconditional introduction rule. Karen is cooking if and only if Robert is a carpenter can be inferred via the biconditional introduction rule.