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 not a writer or x_10 will go running. For all x_10, x_10 is not curious. There is at least one x_10 for which x_10 is excited if and only if x_10 is curious. For all x_10, x_10 is a writer or x_10 is excited.
For all x_10, x_10 is excited or x_10 will go running can be inferred via the universal resolution rule. There is at least one x_10 for which if x_10 were excited, then x_10 is curious can be inferred via the existential biconditional elimination rule. There is at least one x_10 for which if x_10 were curious, then x_10 is excited can be inferred via the existential biconditional elimination rule. There is at least one x_10 for which x_10 is not excited can be inferred via the existential biconditional elimination rule.