You have neatly summarised what BP should disclose, thank you. 

The sooner this is done the sooner South Africa can shut down the theft of its resources and the sooner South Africa can initiate recovery of stolen resources. It is very likely that each passing day results in more being stolen, reduces the chances of recovery of our resources and provides the thieves and their accomplices with time, an invaluable tool to obfuscate facts and defeat justice. 

But BP cannot and will not disclose voluntarily. There needs to be a lawful demand which can be enforced. Who can do this in SA and, more importantly, the UK?