The agent then uses an unbounded proof search, which no current AI algorithm could tackle in reasonable time (albeit a human engineer would be able to do it with a bunch of painstaking work)
“Current,” here, is indexed to a decade ago, and can no longer be claimed confidently.
Do any of these jobs survive in the “no humans have any other jobs than this” environment? E.g., marketing research is not valuable when AIs do ~all economic consumption.