solve-with-highest-reasoning

Run an explicitly invoked, long-horizon native-Codex campaign on one exceptionally difficult mathematical or research problem using a user-confirmed minimum duration, the strongest currently available Codex GPT model, that model's highest supported reasoning setting, adaptive independent subagents, repository-grounded evidence, reproducible computation, and adversarial verification. Use only when the user explicitly invokes $solve-with-highest-reasoning for a configurable-duration highest-capability research campaign. Do not use for routine questions, ordinary proofs, generic brainstorming or planning, a bounded panel discussion, or external-model consultation.