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 if x_12 plays squash, then x_12 is a writer. For all x_12, x_12 is bored if and only if x_12 will drink water. For all x_12, if x_12 drinks water, then x_12 is playing squash. For all x_12, if x_12 were a writer, then x_12 is playing a game.
There is at least one x_12 for which if x_12 plays squash, then x_12 is playing a game can be inferred via the existential transitivity rule. There is at least one x_12 for which if x_12 drinks water, then x_12 is a writer can be inferred via the existential transitivity rule. For all x_12, if x_12 were bored, then x_12 is drinking water can be inferred via the universal biconditional elimination rule. For all x_12, if x_12 drinks water, then x_12 is bored can be inferred via the universal biconditional elimination rule.