As I read it, your policy requires documentary verification when non-doc fails. In this instance, non-doc failed and two forms of ID for the individual were presented, and both are acceptable by your policy. The "Not Valid for Employment" statement is what non-US citizens are provided for their Social Security card which tracks with the fact that he also provided a permanent resident card. So I'm confused by what you're asking. What do you mean by "are we required to police this?" I've read this question over a bunch of times but I'm having trouble deciphering what the question is.