From the time the first law was put in place.
Else what would be the point of laws in the first place??
Some of the earlier examples of such laws includes the Laws of Hammurabli, but it would be pretty ridiculous to believe that nothing predated this in terms of 'laws' and 'crimes'.
I'm Australian, and there are plenty of cultural laws within Aboriginal communities, as well as evidence that sacred spaces and certain rituals were restricted.
I'm a little confused why you want a 'specific crime' to be identified, though. Perhaps you can illuminate me as to the difference you believe that makes?
If I make a bold claim, and someone asked me to support my claim, I would not have a hard time understanding what that meant.
You said, "Crime exists everywhere, and always has..."
I expect that for you to make such a claim, you must have the data to confirm that claim.
Evidently you don't.
So basically, you made a baseless claim.
Hence, you don't know when crime started, and whether it always existed or not.
The Bible says - before Babylon it has not always existed, so that being true, would mean that how it originated can be identified as a root cause.
Knowing the root cause is an indication that it can be removed.