This is basically how Bitcoin already works... except normally to verify the computer program was run, currently all Bitcoin nodes actually run that program. With SCIP, they don't need to actually do that - just the proof that someone ran it is enough. Yes I know that sounds kinda crazy, but amazingly math actually lets you verify that someone ran a particular computer program honestly without actually running it yourself or seeing all the data it operated on.
This may be the most fucking brilliant idea i have seen since the dawn of proof-of-work (or sliced bread), however I am obviously too stupid to verify if that will work or if that is even possible.