Deep-mode allows bounded local computation but must NOT use WebFetch
or WebSearch. Finding the solution on AoPS is not solving the problem.
Adds explicit NO WEB prompt block and orchestrator self-restraint note.
Found by Ralph's test run (skill solved 5/6 then started fetching
dgrozev.wordpress.com and artofproblemsolving.com for P6).
The skill that addresses the Proof-or-Bluff gap: self-verified 85.7% IMO
becomes <5% under human grading. Uses fresh-context verifiers armed with
specific failure patterns (not generic 'check logic').
Validated: 17/18 IMO+Putnam 2025 solved, 0 false positives, 2 novel proofs.
See eval data in anthropic monorepo sandbox/sandbox/ralph/math_skills/.