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_6 for which if x_6 were a scientist, then x_6 is a lawyer. For all x_6, if x_6 cooks, then x_6 is a scientist. For all x_6, x_6 is curious or x_6 will cook. For all x_6, x_6 is a scientist or x_6 is not curious.
There is at least one x_6 for which if x_6 cooks, then x_6 is a lawyer can be inferred via the existential transitivity rule. For all x_6, if x_6 were curious, then x_6 is a scientist can be inferred via the universal rewriting rule.