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: Robert is a politician or James is rich. Sarah is excited if and only if James is rich. Mary is not fast. Robert is not a politician or it is cloudy. Sarah is excited if and only if Mary is fast.
James is rich or it is cloudy can be inferred via the resolution rule. If Sarah were excited, then James is rich can be inferred via the biconditional elimination rule. If Sarah were excited, then Mary is fast can be inferred via the biconditional elimination rule. If James were rich, then Sarah is excited can be inferred via the biconditional elimination rule. If Mary were fast, then Sarah is excited can be inferred via the biconditional elimination rule. Sarah is not excited can be inferred via the biconditional elimination rule.