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 is happy. For all x_10, x_10 will drive a car. For all x_10, if x_10 writes a letter, then x_10 is drinking water. For all x_10, x_10 is a poet. For all x_10, if x_10 drives a car, then x_10 is writing a letter.
For all x_10, x_10 will write a letter can be inferred via the universal modus ponens rule. For all x_10, if x_10 drives a car, then x_10 is drinking water can be inferred via the universal transitivity rule. For all x_10, x_10 is happy and x_10 will drive a car can be inferred via the universal conjunction rule. For all x_10, x_10 is happy and x_10 is a poet can be inferred via the universal conjunction rule. For all x_10, x_10 will drive a car and x_10 is happy can be inferred via the universal conjunction rule. For all x_10, x_10 will drive a car and x_10 is a poet can be inferred via the universal conjunction rule. For all x_10, x_10 is a poet and x_10 is happy can be inferred via the universal conjunction rule. For all x_10, x_10 is a poet and x_10 will drive a car can be inferred via the universal conjunction rule.