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_13 for which x_13 is not curious. For all x_13, if x_13 listens to a song, then x_13 is a carpenter. For all x_13, x_13 is curious if and only if x_13 is a carpenter. For all x_13, if x_13 were curious, then x_13 is a carpenter.
For all x_13, if x_13 were curious, then x_13 is a carpenter can be inferred via the universal biconditional elimination rule. For all x_13, if x_13 were a carpenter, then x_13 is curious can be inferred via the universal biconditional elimination rule. There is at least one x_13 for which x_13 is not a carpenter can be inferred via the existential biconditional elimination rule.