That's easy. They just pay all of the "public debts" and meet the regulatory requirements of insurance reserves that took them into siezure in the first place.
A Bermuda "winding up" can end as a liquidation similar to a US Chapter 7, or it can wind up as a reorganized entity similar to US Chapter 11. It depends on the decision of the JPL, and the parameters above. Nothing more but a stamp of approval from a Judge in Bermuda is required.
From what I have seen, this company is more than solvent based on standard industry practice, and are just waiting for the paperwork to catch up. JMHO.
I haven't seen any debt but intercompany paper, aside from runoff obligations and liabilities. If the runoff reserves have been capable of writing in Syndicate 4444, then why are they not solvent?