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, if x_10 were curious, then x_10 is a soldier. For all x_10, x_10 will drive a car. For all x_10, if x_10 were a soldier, then x_10 is writing a letter. For all x_10, x_10 is curious. For all x_10, x_10 will play a game.
For all x_10, x_10 is a soldier can be inferred via the universal modus ponens rule. For all x_10, if x_10 were curious, then x_10 is writing a letter can be inferred via the universal transitivity rule. For all x_10, x_10 will drive a car and x_10 is curious can be inferred via the universal conjunction rule. For all x_10, x_10 will drive a car and x_10 will play a game can be inferred via the universal conjunction rule. For all x_10, x_10 is curious and x_10 will drive a car can be inferred via the universal conjunction rule. For all x_10, x_10 is curious and x_10 will play a game can be inferred via the universal conjunction rule. For all x_10, x_10 will play a game and x_10 will drive a car can be inferred via the universal conjunction rule. For all x_10, x_10 will play a game and x_10 is curious can be inferred via the universal conjunction rule.