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 will play a game. For all x_10, x_10 will play squash. For all x_10, x_10 will cook and x_10 is a nurse.
For all x_10, x_10 will cook can be inferred via the universal simplification rule. For all x_10, x_10 is a nurse can be inferred via the universal simplification rule. For all x_10, x_10 will play a game and x_10 will play squash can be inferred via the universal conjunction rule. For all x_10, x_10 will play squash and x_10 will play a game can be inferred via the universal conjunction rule.