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_9, x_9 is a politician. For all x_9, if x_9 plays a game, then x_9 is drinking water. For all x_9, if x_9 drinks water, then x_9 is climbing a mountain. For all x_9, if x_9 were a politician, then x_9 is climbing a mountain.
For all x_9, x_9 will climb a mountain can be inferred via the universal modus ponens rule. For all x_9, if x_9 plays a game, then x_9 is climbing a mountain can be inferred via the universal transitivity rule.