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_7, x_7 will sleep or x_7 will read a book. For all x_7, x_7 will work and x_7 will cook. For all x_7, x_7 will not sleep.
For all x_7, x_7 will read a book can be inferred via the universal disjunctive syllogism rule. For all x_7, x_7 will work can be inferred via the universal simplification rule. For all x_7, x_7 will cook can be inferred via the universal simplification rule.