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: There is at least one x_6 for which x_6 will cook or x_6 will play a game. For all x_6, if x_6 plays a game, then x_6 is reading a book. For all x_6, x_6 will read a book or x_6 is not a soldier. For all x_6, if x_6 cooks, then x_6 is a soldier.
For all x_6, if x_6 were a soldier, then x_6 is reading a book can be inferred via the universal rewriting rule.