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_14, if x_14 makes tea, then x_14 is playing squash. For all x_14, if x_14 plays squash, then x_14 is making tea. There is at least one x_14 for which x_14 will make tea or x_14 will not sleep. For all x_14, x_14 is not fast. For all x_14, x_14 is fast if and only if x_14 will play squash.
There is at least one x_14 for which if x_14 sleeps, then x_14 is making tea can be inferred via the existential rewriting rule. For all x_14, x_14 will make tea if and only if x_14 will play squash can be inferred via the universal biconditional introduction rule. For all x_14, x_14 will play squash if and only if x_14 will make tea can be inferred via the universal biconditional introduction rule. For all x_14, if x_14 were fast, then x_14 is playing squash can be inferred via the universal biconditional elimination rule. For all x_14, if x_14 plays squash, then x_14 is fast can be inferred via the universal biconditional elimination rule. For all x_14, x_14 will not play squash can be inferred via the universal biconditional elimination rule.