**Overall Verdict:** Strong Accept — The submission is complete, internally consistent, independently verifiable, safely packaged, and reachable with a standard open-source toolchain.

**Completeness Check:**
- Instruction: Complete — The objective, certificate semantics, exact outputs, resource limits, failure isolation, and scoring behavior are unambiguous.
- Inputs: Complete — The 128-vertex graph, baseline certificates, canonical binding, schemas, data dictionary, and output contract are present and consistent.
- Toolchain: Complete — Standard-library Python and Bash suffice for verification, while freely obtainable optimization tools may be used for certificate construction.
- Reference output: Complete — The full certificate independently verifies bounds of 992/992 using 9,001 nodes, 108,711 cliques, 319,620 memberships, and depth 25; its 12-line report is byte-exact.
- Rubric: Complete — It objectively checks exact certificates, defines hard and local failures, awards linear partial credit, and distinguishes zero, partial, and perfect outcomes without hidden-answer comparison.

**File and Task Reachability:**
Attachment classification: reachable. Task classification: reachable. The input-materials, reference-evaluation, and difficulty-self-test ZIP files were all inspected. Their manifested sizes and internal hashes match, all containers pass integrity checks, and all members are regular, readable, unencrypted text or JSON files without traversal paths, links, devices, or unsafe expansion. The inert shell and Python sources were inspected without execution. No attachment content remains unreviewed; the three provisional difficulty runs are byte-identical by artifact type and consistently report zero progress. The review environment lacked CPython, so the submitted evaluator was inspected statically rather than run; an independent data-only check nevertheless verified the graph hash, baseline proof, complete reference tree, resource totals, and exact report. End to end, a contributor can read the public graph and schemas, construct the two required certificate files on one ordinary Linux machine, and have the answer-free evaluator derive and check every state using exact arithmetic. 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:**
None. The graph is disclosed as original synthetic benchmark data, but there is no affirmative evidence of AI fabrication, public-benchmark reuse, or a predetermined defect fixture. Public identifiability was not independently searched because external search is outside the approved evidence boundary.

**Recommended Changes:**
The proof language, safety limits, failure isolation, reference endpoint, and partial-credit rubric are well constructed. No changes are required.