The system does not need to liberate lost coins.

First, there's no solution because there's no way to know they're actually lost. A bank could be holding some coins as collateral for hundreds of years and never touch them.

Secondly, there is no reason to do it. It just doesn't matter whether coins get lost. The price of the coins will naturally rise as the market realizes there are fewer coins that will "budge" to higher demand.

Thirdly, the U.S. likewise does not care about lost coins. If a federal reserve note (dollar bill) get mutilated or destroyed beyond recognition, the government never does anything to redistribute that lost dollar.