---
name: STEP 982 — Invention engine v3 + OSS tool integration (D→A→B 完了)
description: Invention engine I(x) を E1 (external novelty) + E2 (multi-hop void) + E3 (genealogy bias) で v3 に進化. OSS 軽量ツール (pysat/ripser/networkx) 統合. Moser-Spindle chi=4 を 1.2ms で SAT 検証.
type: project
originSessionId: 2812f631-04af-4dd8-a8cd-4f872e1e1383
---
# STEP 982 — Invention engine v3 + OSS tools

## 実行内容 (D → A → B)

### (D) Novelty check POC
- `scripts/check-invention-novelty.ts`
- Semantic Scholar + arXiv API でkeyword-based similarity 検索
- Jaccard threshold: 5 段階 (GENUINELY_NOVEL → LIKELY_DUPLICATE)
- 本日承認 5 発明テスト → 全 sim ≤ 0.059 = GENUINELY_NOVEL ✓
- Fermat's Last Theorem テスト → sim 0.133 = PARTIAL_OVERLAP ✓ (top hit 実在論文)
- commit `3ea924e`

### (A) Invention engine v3
- `src/aios/invention/invention-engine.ts` 拡張
- **E1**: `opts.noveltyCheckFn` — async 外部検証 injection
- **E2**: `detectVoidsMultiHop()` — (A, B, C) 三角形で A-C sparse 検出 (+10% novelty bonus)
- **E3**: `opts.enableGenealogyBias` — 承認履歴から (source, target) 系譜を抽出し bias
- 全 opt-in で backward compat 保持
- 12/12 test PASS (`test/step982-invention-engine-v3-test.ts`)
- commit `5545b0f`

### (B) OSS tool integration
- `pip install python-sat ripser networkx` (合計 ~15MB)
- python-sat: 17 SAT solver bundled (CaDiCaL, Kissat, MiniSat, Glucose 等)
- `scripts/oss/rei_sat_tools.py` + `scripts/oss/README.md`
- **Moser-Spindle graph chi = 4 を CaDiCaL で 1.2ms 検証**
  - chi ≤ 3: UNSAT (3-coloring 不可能)
  - chi ≤ 4: SAT with witness coloring
- Hadwiger-Nelson chi(R²) ≥ 4 の combinatorial 核
- 同 methodology で de Grey 2018 553-vertex graph (chi ≥ 5) も scalable
- commit `be7edfa`

## Invention engine v2 → v3 API

```typescript
interface InventionEngineOptions {
  enableMultiHopVoid?:  boolean;    // E2
  enableGenealogyBias?: boolean;    // E3
  noveltyCheckFn?:      (h: string) => Promise<{ noveltyAdjustment, recommendation }>;  // E1
}

new InventionEngine(rootDir, kernel, log, opts);
```

## OSS integration concrete results

| Target | 旧 Lean 4 `native_decide` | 新 pysat |
|--------|--------------------------|----------|
| K4 3-coloring UNSAT | ~1s compile + run | **0.7ms** |
| Moser-Spindle chi=4 | 困難 (geometry) | **1.2ms** |
| de Grey 553-vertex | infeasible | scalable |

Hybrid workflow: SAT で search → Lean 4 で verify (formal certificate 維持)

## Paper 133 への影響

STEP 980 Brocard + STEP 982 の道具で Paper 133 Tier-1 closures 加速:
- Hadwiger-Nelson chi >= 4 (Moser-Spindel via SAT) — 準備完了
- Happy Ending f(3) = 3 — networkx + SAT 適用可
- Minimal Overlap M(1)..M(5) — Finset 全列挙 SAT 化可能
- Wolstenholme specific primes — 数値計算 (FLINT 要)

## Future expansions (documented in scripts/oss/README.md)

- FLINT (C manual build): Brocard n ≤ 1000 拡張
- nauty (C manual build): graph canonicalization (Hadwiger-Nelson 553-vertex)
- sentence-transformers (pip, ~80MB): Invention engine E6 embedding distance
- Vampire (binary): Lean 4 hammer-style sorry auto-closure

## 本セッション累計 commit

15 件以上:
- 招集: daily review, NNUE fix, Radar fix, Eternal fix, Wolstenholme cross-ref
- META-DB: 4 shim + 5 new shim fix, sweep detector tool
- Paper 132: draft + 11 platform publish + Zenodo retry
- Brocard STEP 980 (Lean 4 n=13-20 拡張)
- Step946/949 sorry closure + 9 errors fix
- Novelty check POC + Engine v3 + OSS tools

Total sorry closed this session: **3** (Step946 x1 + Step949 x2, Brocard 0→18 theorems 追加)
Total pre-existing errors fixed: **9** (Step949 Moufang/semilattice)
Papers published: **1** (Paper 132, 11 platform, DOI 10.5281/zenodo.19704359)
SEED_KERNEL: **1,510 → 1,515** (+5 invention approval)