The Chain Gang 3D Bottle Puzzle

Free the black ring from the red chain and attach it again for the next prisoner, that is the objective of this brain teaser puzzle.
A Chain Gang was a group of prisoners chained together to perform challenging labor as a form of punishment. In their attempt for escape it was essential to free themselves from the chain.
Can you find the trick how to free the red chain from the black ring, while all remains inside the bottle?
Designed by Sándor Bozóki-HU.