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_11, x_11 will sleep and x_11 will play squash. For all x_11, if x_11 cooks, then x_11 is not sleeping. There is at least one x_11 for which x_11 will not listen to a song or x_11 will make tea. For all x_11, x_11 will listen to a song or x_11 will cook.
For all x_11, x_11 will sleep can be inferred via the universal simplification rule. For all x_11, x_11 will play squash can be inferred via the universal simplification rule. There is at least one x_11 for which x_11 will cook or x_11 will make tea can be inferred via the existential resolution rule.