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, if x_10 listens to a song, then x_10 is drinking water. For all x_10, if x_10 were a taxi driver, then x_10 is cooking. For all x_10, x_10 will drink water if and only if x_10 is a taxi driver. For all x_10, x_10 will not cook. For all x_10, if x_10 cooks, then x_10 is a taxi driver. For all x_10, if x_10 drinks water, then x_10 is listening to a song.
For all x_10, x_10 is not a taxi driver can be inferred via the universal modus tollens rule. For all x_10, x_10 will listen to a song if and only if x_10 will drink water can be inferred via the universal biconditional introduction rule. For all x_10, x_10 is a taxi driver if and only if x_10 will cook can be inferred via the universal biconditional introduction rule. For all x_10, x_10 will cook if and only if x_10 is a taxi driver can be inferred via the universal biconditional introduction rule. For all x_10, x_10 will drink water if and only if x_10 will listen to a song can be inferred via the universal biconditional introduction rule. For all x_10, if x_10 drinks water, then x_10 is a taxi driver can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 were a taxi driver, then x_10 is drinking water can be inferred via the universal biconditional elimination rule.