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_6, if x_6 were a writer, then x_6 is cooking. For all x_6, if x_6 were an office clerk, then x_6 is a politician. There is at least one x_6 for which x_6 is a writer or x_6 is an office clerk. For all x_6, x_6 is a politician or x_6 will not cook.
For all x_6, if x_6 cooks, then x_6 is a politician can be inferred via the universal rewriting rule.