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_12, x_12 will play a game or x_12 will not drink water. For all x_12, x_12 will take a plane if and only if x_12 is a carpenter. There is at least one x_12 for which if x_12 plays a game, then x_12 is taking a plane.
For all x_12, if x_12 drinks water, then x_12 is playing a game can be inferred via the universal rewriting rule. For all x_12, if x_12 takes a plane, then x_12 is a carpenter can be inferred via the universal biconditional elimination rule. For all x_12, if x_12 were a carpenter, then x_12 is taking a plane can be inferred via the universal biconditional elimination rule.