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_6, x_6 will drink water. For all x_6, x_6 will listen to a song. For all x_6, x_6 will climb a mountain. For all x_6, if x_6 climbs a mountain, then x_6 is excited.
For all x_6, x_6 is excited can be inferred via the universal modus ponens rule. For all x_6, x_6 will drink water and x_6 will listen to a song can be inferred via the universal conjunction rule. For all x_6, x_6 will drink water and x_6 will climb a mountain can be inferred via the universal conjunction rule. For all x_6, x_6 will listen to a song and x_6 will drink water can be inferred via the universal conjunction rule. For all x_6, x_6 will listen to a song and x_6 will climb a mountain can be inferred via the universal conjunction rule. For all x_6, x_6 will climb a mountain and x_6 will drink water can be inferred via the universal conjunction rule. For all x_6, x_6 will climb a mountain and x_6 will listen to a song can be inferred via the universal conjunction rule.