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, x_10 is a writer or x_10 will not sleep. For all x_10, x_10 is a sailor or x_10 will sleep. For all x_10, if x_10 were a writer, then x_10 is excited. For all x_10, x_10 is not a sailor.
For all x_10, x_10 will sleep can be inferred via the universal disjunctive syllogism rule. For all x_10, if x_10 sleeps, then x_10 is a writer can be inferred via the universal rewriting rule.