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_10, x_10 will drink water. For all x_10, x_10 will climb a mountain. There is at least one x_10 for which x_10 will play a game.
For all x_10, x_10 will drink water and x_10 will climb a mountain can be inferred via the universal conjunction rule. For all x_10, x_10 will climb a mountain and x_10 will drink water can be inferred via the universal conjunction rule. There is at least one x_10 for which x_10 will play a game and x_10 will drink water can be inferred via the existential conjunction rule. There is at least one x_10 for which x_10 will play a game and x_10 will climb a mountain can be inferred via the existential conjunction rule. There is at least one x_10 for which x_10 will drink water and x_10 will play a game can be inferred via the existential conjunction rule. There is at least one x_10 for which x_10 will climb a mountain and x_10 will play a game can be inferred via the existential conjunction rule.