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: There is at least one x_12 for which x_12 will not cook or x_12 is curious. For all x_12, x_12 will cook or x_12 will play a game. For all x_12, if x_12 were curious, then x_12 is an artist. For all x_12, x_12 is an artist or x_12 will not play a game. For all x_12, if x_12 were an artist, then x_12 is curious.
There is at least one x_12 for which x_12 will play a game or x_12 is curious can be inferred via the existential resolution rule. For all x_12, if x_12 plays a game, then x_12 is an artist can be inferred via the universal rewriting rule. For all x_12, x_12 is curious if and only if x_12 is an artist can be inferred via the universal biconditional introduction rule. For all x_12, x_12 is an artist if and only if x_12 is curious can be inferred via the universal biconditional introduction rule.