What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_7, if x_7 were curious, then x_7 is rich. There is at least one x_7 for which if x_7 were a carpenter, then x_7 is curious. For all x_7, if x_7 were rich, then x_7 is curious. For all x_7, x_7 is not rich. For all x_7, if x_7 were curious, then x_7 is a carpenter.
For all x_7, x_7 is not curious. For all x_7, if x_7 were rich, then x_7 is a carpenter. There is at least one x_7 for which if x_7 were a carpenter, then x_7 is rich. For all x_7, x_7 is curious if and only if x_7 is rich. For all x_7, x_7 is rich if and only if x_7 is curious. There is at least one x_7 for which x_7 is a carpenter if and only if x_7 is curious. There is at least one x_7 for which x_7 is curious if and only if x_7 is a carpenter.