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_14, x_14 is curious. For all x_14, if x_14 were curious, then x_14 is a lawyer. For all x_14, x_14 is excited or x_14 will write a letter. For all x_14, if x_14 were excited, then x_14 is running. For all x_14, if x_14 works, then x_14 is running. There is at least one x_14 for which if x_14 writes a letter, then x_14 is working.
For all x_14, x_14 is a lawyer can be inferred via the universal modus ponens rule. There is at least one x_14 for which if x_14 writes a letter, then x_14 is running can be inferred via the existential transitivity rule.