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 drink water or x_7 will write a letter. For all x_7, x_7 will cook. For all x_7, x_7 will not drink water. For all x_7, if x_7 cooks, then x_7 is working.
For all x_7, x_7 will work can be inferred via the universal modus ponens rule. For all x_7, x_7 will write a letter can be inferred via the universal disjunctive syllogism rule.