# M101 France-Spain C4 Blocker Theorem **Status:** BLOCKED as of this audit snapshot — no four-score C4 card may be created from the current artifact set. **Inherited baseline snapshot:** 2026-07-14T14:41:50Z **Controlling fresh-bundle addendum:** 2026-07-14T15:58:59Z **Proof owner:** Villanova **Scope:** FIFA World Cup 2026 Match 101, France vs Spain. This is a readiness theorem. It is not an exact-score forecast. ## Definitions Let the authoritative fixture record be F. It requires the official match, venue, kickoff, source URLs, and two distinct boundaries: - scheduled kickoff outcome boundary: 2026-07-14T19:00:00Z; - hard model-admission and immutable C4 computation freeze: 2026-07-14T18:15:00Z, T-minus 00:45. The scheduled kickoff never permits an additional model input after the 18:15Z admission/freeze cutoff. Let A mean every row used by a model is source-cited, demonstrably available by the computation freeze, regulation-time scoped, duplicate-reconciled, parsed, officially crosschecked or reconciled, reviewer-timestamped, and marked valid_for_model=1. Let R mean every required opponent realm has weighted effective sample size n_eff >= 5, using epsilon 0.75 and widening to 1.25 only when sparse. Let M mean a declared numeric count kernel and every required result, margin, total-goal, BTTS, clean-sheet, favorite-cushion, upset, and ruthless-tail thread have been computed from A. Let S10 mean that a declared score universe has been scored by ell(s) = log(P_count(s)) + weighted thread terms - contradiction penalties and normalized into an exact-score candidate table. Let K mean every required contradiction attack, every disclosed NeohmX pre-lock branch, and the recursive strongest-opposing-fact test has a numerical resolution and exactly one final status. Let U mean a predeclared unique C4 objective, constraints, branch-coverage rule, redundancy penalty, and lexicographic tie-break, stored with the model before selection. Let T mean the declared weight/rating perturbation, leave-one-out realm, alternate count-model, lineup, and clean-sheet/BTTS fork stability tests have been run and passed. Let L mean the final C4 card, proof, lock, failure analysis, and publication audit agree and carry the required Athena, Villanova, and Aster signatures plus immutable hashes. The legal disclosure rule is: Eligible(C4) := F AND A AND R AND M AND S10 AND K AND U AND T AND L. ## Controlling Fresh-Bundle Addendum After the original staged-ledger audit, Athena produced an isolated numerical research bundle at `athena_run_20260714`. It contains candidate rows, computed realms, a count grid, and scenario tests. This addendum controls any earlier sentence in this document that could be read to mean that no numerical research output exists at all. The isolated bundle does **not** satisfy the definitions above. Its candidate rows lack row-level retrieval/cutoff provenance, reviewer/crosscheck evidence, and durable source snapshots; its named input hashes are not accompanied by bundle paths or copies (the upstream event ledgers retain the same row-level provenance gaps, while rating provenance is stored separately); its lineup/availability layer is not an auditable ledger; and it has no mechanical C4 selector, complete contradiction proof, final card, common hashes, or all three signatures. Its calculations remain provisional research, not admissible inputs or a legal S10/C4. See `agent_outputs/villanova_athena_fresh_bundle_proof_audit_20260714.md` and `M101_FRESH_DATA_ANALYSIS_STATUS.md`. ## Admissible Data Lemma A is false. The review table contains 32 staged rows, 16 for France-Spain and 16 for England-Argentina. It contains zero model-valid rows, zero rows with parse_status=ok, zero rows officially crosschecked or reconciled, and zero review timestamps. Five rows lack a source-retrieval timestamp; five omit a no-leak field; the other 27 declare a no-leak time after the 18:15Z computation freeze. The 1,000-row fact factory also has zero model-valid rows and zero populated data-cutoff fields. Therefore no staged fact may enter a numeric model by relabeling. A is false. ## Realm Lemma R is false. For the active France-Spain fixture, France against Spain has one base-band candidate and one sparse-widened candidate; Spain against France has zero base-band candidates and three sparse-widened candidates. Every active realm has zero admissible regulation-time rows and weighted n_eff=0, below the required five. The threshold ledger and realm summary record each failure. Therefore R is false. ## Thread Lemmas M is false. No admitted rows exist from which to fit a count kernel or any required result, margin, total-goal, BTTS, clean-sheet, favorite-cushion, upset, or ruthless-tail thread. The thread artifacts record NOT_COMPUTED and leave posterior fields blank. No numeric adjustment has been asserted. ## Candidate Table Lemma S10 is false. The score-candidate artifact records NOT_GENERATED, candidate_count=0, and blank score/probability fields. It declares only the future audit universe [0..7]x[0..7]; that declaration does not generate a candidate or a posterior. ## Contradiction Lemmas K is false. The contradiction ledger records every mandatory attack as NOT_TESTED because there is no candidate universe or admitted evidence. No named NeohmX pre-lock branch has been supplied in the evidence ledger, so Human Signal Preservation is logged as NO_NEOHMX_BRANCH_LOGGED, not as a pass. The recursive strongest-opposing-fact test cannot start without a selected score. ## Inclusion Lemmas U is false. The current artifact set contains no predeclared numerical C4 objective, constraints, branch-coverage rule, redundancy penalty, or lexicographic tie-break. No score has an inclusion lemma, because no score has a posterior or a score-specific contradiction result. A later objective cannot be backfilled to validate an earlier selection. ## Exclusion by Exhaustion Exclusion by exhaustion is unavailable. Without S10 there is no finite scored universe from which a major alternative could be numerically excluded. Calling an uncomputed alternative implausible would be decorative proof and is prohibited. ## Stability Lemma T is false. The six mandatory stability tests are NOT_RUN. There is no base model, selected node, or retention rate to perturb by weights, strength, leave-one-out realms, alternate count model, lineup scenarios, or the clean-sheet/BTTS fork. ## Publication and Signature Lemma L is false. The blocker artifacts document the refusal but do not substitute for numerical model, candidate, contradiction, stability, signature, or hash artifacts. There is no final C4 card, no lock timestamp, no **accepted/admissible** Athena DATA/MODEL PASS (the fresh self-signature is rejected by this audit), no Villanova PROOF PASS, and no Aster INTEGRATION PASS. ## Final Theorem France-Spain is not eligible for a C4 disclosure. **Proof.** The inherited staged ledger fails A and R. The later isolated bundle does not repair them: it self-labels rows without the required provenance/review/crosscheck records, so its numerical realms and threads remain downstream of A=false. It also lacks a legal S10, K, U, and L, and its scenario work is not stability of a mechanically defined C4. Thus at least A, R, M, S10, K, U, T, and L are false under the definitions above. Substitution into Eligible(C4) makes the conjunction false. Therefore no four-score card, score ranking, lock, or market-facing conclusion is legally available. QED. ## Minimum Repair Path Promote rows only after their actual evidence gates are met; establish every required realm at weighted n_eff >= 5; publish the declared numerical model, candidate table, contradiction resolutions, and stability results; then obtain all three signatures and hashes before the freeze. Until then the public state is PRE-LOCK / NOT C4 LOCKED / NO MARKET GUIDANCE.