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Independent review and grade of the analytic conclusions

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grade: Acceptance of the exact analytic propositions, with the unsupported knowledge assertion withheld, its precise correction and the exposure ruling.

review: Adversarial examination of the collision obstruction, four-way equivalence and conditional density reduction, excluding the numerical census.


The review and separate grade, examined on 2026-10-16 UTC, accept the exact analytic mathematical surfaces from "Target and conventions" through the semiprime separation inequality before "Exact census" in the owning lead. The countermodel in Problem 955's "Exact scope of the arithmetic reduction" is also examined. The accepted verdict is refutation-failed for Theorems A and B, their quantitative consequences, the abstract countermodel, and the conditional D implications. The premise (D), the finite census, the later G0/G1/G2 route and a solution of Problem 955 are not established by this examination.

The subject, countermodel, source interfaces, submitted review, submitted grade and later wording are unchanged copies. The source-interface file is the reviewer's restatement, not a source facsimile. The external PNT, Mertens and divisor-sum-fiber interfaces were claims checked from the supplied excerpts; their original proofs and PDF fidelity were not independently examined.

The original assertion that (D) is "not known to be equivalent" receives void affirmative certification: proof defective; statement unresolved if presented as a consequence of the supplied argument. No negation is proved. The grade permits exactly the body correction to "The argument does not establish the converse." The current owner page makes that correction and discloses the difference from the frozen subject. Neither the original report nor this filing represents later text as freshly reviewed.

The reviewer received excluded motivational advocacy. The separate grader rules it immaterial to this examination under both parts of the neutral content test. That disclosure and ruling remain part of the warrant. The reviewer and grader used distinct fresh contexts separated from authorship; their common disclosed model does not replace those independence facts.

The acceptance order is conventions and external interfaces; A and its exclusion consequences; B using the elementary arithmetic tails; the PPT comparison and independently proved countermodel; then the conditional D sufficiency, necessary growth and semiprime separation. No native L-premise is consumed. The theorem antecedents remain explicit.

The examination is noncomputational. Its exact inequalities, countermodels and symbolic derivations supply the evidence; the separate executable census supplies no part of this verdict. Filing adds only wiki frontmatter and the associated generated heading to the public report and grade. Their mathematical bodies, scope, dates and verdicts are unchanged, and all six submitted snapshots are byte-exact. Operational records and raw communications stay private.