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: For all z, if z were a writer, then z is reading a book. There is at least one z for which z is a writer or z is not fast. For all z, z is bored or z will not read a book.
For all z, if z reads a book, then z is bored can be inferred via the universal rewriting rule. There is at least one z for which if z were fast, then z is a writer can be inferred via the existential rewriting rule.