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 John were excited, then James is a nurse. If it is late, then it is cloudy. If it is cloudy, then John is excited. If James were a nurse, then it is late. It is not late.
James is not a nurse can be inferred via the modus tollens rule. If John were excited, then it is late can be inferred via the transitivity rule. If it is late, then John is excited can be inferred via the transitivity rule. If it is cloudy, then James is a nurse can be inferred via the transitivity rule. If James were a nurse, then it is cloudy can be inferred via the transitivity rule.