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_7 for which x_7 is excited if and only if x_7 will cook. For all x_7, x_7 will not go running or x_7 is a lawyer. For all x_7, x_7 will go running or x_7 will cook. For all x_7, if x_7 were a lawyer, then x_7 is excited.
For all x_7, x_7 will cook or x_7 is a lawyer can be inferred via the universal resolution rule. There is at least one x_7 for which if x_7 were excited, then x_7 is cooking can be inferred via the existential biconditional elimination rule. There is at least one x_7 for which if x_7 cooks, then x_7 is excited can be inferred via the existential biconditional elimination rule.