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 late if and only if Sarah is a musician. Thomas is not a politician or Sarah is excited. For all x_13, if x_13 were excited, then x_13 is a musician. Thomas is a politician or it is late.
It is late or Sarah is excited can be inferred via the resolution rule. If Sarah were a police officer, then Thomas is not a politician can be inferred via the rewriting rule. If it is late, then Sarah is a musician can be inferred via the biconditional elimination rule. If Sarah were a musician, then it is late can be inferred via the biconditional elimination rule.