It is primarily an unsolved problem. In addition to that, for many people, it has taken on an emotional, mystical significance which goes way beyond the scope of science. But as a scientific issue it's like any other (but far more difficult to work on).
My definition of "proof" is a "convincing argument". I well know that different people are convinced by different arguments. The theory of a Divine origin of the universe fits the available facts than any other explanation I saw at that time (1969). I haven't seen a better explanation since then, and I have had independent confirmation of the existance of God since then.
If you truly had a "convincing argument" it would do what you think it ought to do -- it would convince people. But if your theory of divine origin convinces only people who want to be convinced, and it leaves skeptics un-convinced, then you should realize that your argument isn't very convincing.
I am interested in your "independent confirmation of the existance of God". If you have verifiable evidence, I hope you will present it to us so that all may have the benefit of this confirmation.
Yes, my "independent proof" was independent of the existence of the universe. There are several hundred or several thousand proofs as a matter of fact--the answered prayers I've had since I was converted in 1971. I also consider my very conversion to be proof of God. Why would I, a dedicated agnostic, become convinced of the existance of God without the existance of God? I had no motivation to become converted. My parents were not Christians and I was not a church goer.
This leads to a good experiment for the sceptic. Test prayer in Jesus' name. See if anything changes in your life. I'll happily pray with you. We'll see what happens over 6 months times. The control can be another sceptic who doesn't pray, or who prays to some other deity.