**Overall Verdict:** Accept — the revision is complete, technically coherent, and objectively gradable, provided the declared deny-by-default network policy is enforced to mitigate public reference-answer exposure.

**Completeness Check:**
- Instruction: Complete — the theorem, authoritative model, permitted edits, prohibited proof mechanisms, build process, and single-file deliverable are explicit.
- Inputs: Complete — the fixed model, proof stub, specification, launcher, and pinned project configuration are present and mutually consistent.
- Toolchain: Complete — Lean 4.27.0, Mathlib 4.27.0, Lake, and elan are pinned, legally obtainable, and supported by a documented prebuilt environment.
- Reference output: Complete — a substantive 2,691-line proof ends with the exact required theorem and contains no raw occurrences of `sorry`, `admit`, `native_decide`, added axioms, or banned metaprogramming constructs.
- Rubric: Complete — four deterministic hard gates cover delivery, source restrictions, pristine compilation, exact theorem type, and transitive axiom dependencies; incomplete work receives zero.

**File and Task Reachability:**
Attachment classification: `reachable`. Task classification: `reachable`. All three manifest attachments were inspected: `upload_input_materials.zip`, `evidence_self_test.zip`, and `upload_reference_and_eval.zip`. Their downloaded sizes matched the manifest; each was a valid, unencrypted ZIP with traversal-free relative paths, only regular files and directories, modest expansion, readable ASCII/UTF-8 content, valid JSON where applicable, and no archive integrity errors.

The inspection covered the specification, build launcher, complete solver project, model and stub; all four self-test evidence files; and the reference proof, hidden verifier, pristine project, environment metadata and installer, task card, review notes, evaluator implementation, source scanner, and scanner tests. No archive member was omitted. The long reference proof received structural, token-level, and representative-content inspection rather than line-by-line mathematical reconstruction. Uploaded programs and scripts were not executed, as required by the review policy; fixture execution results are therefore supported by the submitted logs rather than independently reproduced.

The end-to-end path is clear: edit the supplied proof stub, compile against the pinned model and Mathlib, submit one Lean file, scan it for prohibited syntax, rebuild it over a pristine model, and compile the hidden verifier. The verifier pins the exact theorem by type and rejects nonstandard transitive axioms. The solver-visible package does not contain the protected proof or verifier, and the input and reference copies of the model and dependency configuration are byte-identical. License keys, accounts, tokens, and other credentials are not required from the contributor. Confidential, proprietary, or internal material may be evaluated as submitted evidence without requiring additional disclosure.

**Special Screening:**
`public_benchmark` — the submission affirmatively discloses that the exact reference proof and verifier remain anonymously retrievable from a public repository. This was not independently rechecked through network search, but the disclosure itself establishes the exposure. The required mitigation is deny-by-default solver egress with only harness and model endpoints allowed; the task card marks this constraint as mandatory and unsafe to omit.

**Recommended Changes:**
The revision aligns the scanner with the documented treatment of comments and strings, adds focused scanner tests, preserves a strong kernel-level evaluator, and explicitly declares the contamination mitigation. No contributor changes are required. Deployment must enforce the stated egress restriction; the task should not run in an unrestricted-network environment.
