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_15, x_15 will not drink water. For all x_15, if x_15 goes running, then x_15 is cooking. For all x_15, x_15 will go running if and only if x_15 is a lawyer. There is at least one x_15 for which x_15 will cook if and only if x_15 will drink water.
For all x_15, if x_15 goes running, then x_15 is a lawyer can be inferred via the universal biconditional elimination rule. There is at least one x_15 for which if x_15 cooks, then x_15 is drinking water can be inferred via the existential biconditional elimination rule. For all x_15, if x_15 were a lawyer, then x_15 is running can be inferred via the universal biconditional elimination rule. There is at least one x_15 for which if x_15 drinks water, then x_15 is cooking can be inferred via the existential biconditional elimination rule. There is at least one x_15 for which x_15 will not cook can be inferred via the existential biconditional elimination rule.