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_13, x_13 will drink water if and only if x_13 is an artist. For all x_13, if x_13 were fast, then x_13 is drinking water. For all x_13, if x_13 plays squash, then x_13 is cooking. For all x_13, x_13 will play squash. For all x_13, if x_13 cooks, then x_13 is an artist.
For all x_13, x_13 will cook can be inferred via the universal modus ponens rule. For all x_13, if x_13 plays squash, then x_13 is an artist can be inferred via the universal transitivity rule. For all x_13, if x_13 drinks water, then x_13 is an artist can be inferred via the universal biconditional elimination rule. For all x_13, if x_13 were an artist, then x_13 is drinking water can be inferred via the universal biconditional elimination rule.