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 y_4, y_4 will climb a mountain if and only if y_4 is bored. For all y_4, if y_4 goes running, then y_4 is climbing a mountain. There is at least one y_4 for which if y_4 were bored, then y_4 is running.
There is at least one y_4 for which if y_4 were bored, then y_4 is climbing a mountain can be inferred via the existential transitivity rule. For all y_4, if y_4 climbs a mountain, then y_4 is bored can be inferred via the universal biconditional elimination rule. For all y_4, if y_4 were bored, then y_4 is climbing a mountain can be inferred via the universal biconditional elimination rule.