Here's an excellent description of the problem.
"We have just made the switch to synthetic cork in our bottle. To our surprise, we have found that the common lever action, bench mounted cork pullers used by restaurants for opening bottles quickly cannot remove these corks. After much examination it appears that the problem is the thickness of the screw itself. The synthetic corks apparently are more dense that natural corks. The screws or augers cannot penetrate the corks all the way without breaking the glass. In most cases the screw simply penetrates about 95% of the way and stops. It does not reach the point where when withdrawn, it stops rotating and pulls the cork out. Instead, the screw penetrates 95% of the way and then unscrews itself as the lever is pulled back."

Our manufacturer's solution:
"We have developed a new worm that has an extra turn. This extra turn has been well received by our client (a large winery) after many experiments. We call the new worm - The Universal Worm Kit and should solve the problem."
The Universal Kit will fit the following table or wall mount corkscrews: Cedon, Zeus and Dion.
$35.00