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 Barbara is cooking. John is not excited. If it is late, then John is excited. If Barbara cooks, then Linda is reading a book. If Linda reads a book, then it is late.
It is not late can be inferred via the modus tollens rule. If John were excited, then Linda is reading a book can be inferred via the transitivity rule. If it is late, then Barbara is cooking can be inferred via the transitivity rule. If Barbara cooks, then it is late can be inferred via the transitivity rule. If Linda reads a book, then John is excited can be inferred via the transitivity rule.