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 x_10, if x_10 reads a book, then x_10 is an office clerk. For all x_10, x_10 is not a scientist. For all x_10, x_10 will read a book or x_10 is not an office clerk. For all x_10, if x_10 were an office clerk, then x_10 is a scientist.
For all x_10, x_10 is not an office clerk can be inferred via the universal modus tollens rule. For all x_10, if x_10 reads a book, then x_10 is a scientist can be inferred via the universal transitivity rule. For all x_10, if x_10 were an office clerk, then x_10 is reading a book can be inferred via the universal rewriting rule.