collatz: generate palier2p14 H6/C3 and universal clause artefacts

**Motivations:**
- Materialize the next iteration step (C1 at 2^14, then C3 at 2^14, then universal clauses from that C3).

**Root causes:**
- The palier 2^14 iteration was missing versioned artefacts and run reports, so it was not citable.

**Correctifs:**
- Generate local H6(E) artefacts for all 60 states at palier 2^14 and update `local_H6_index.md`.
- Generate deterministic C3 verification at palier 2^14 and extract/verify universal clauses under `universal_clauses/palier2p14/`.

**Evolutions:**
- Add run reports for all local H6 palier2p14 states, plus C3 palier2p14 and universal_clauses palier2p14.
- Add an iteration protocol instance seeded from C3 palier2p14 (targeting palier 2^15).

**Pages affectées:**
- docs/artefacts/collatz/local_E*_palier2p14/**
- docs/artefacts/collatz/local_H6_index.md
- docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.{json,md}
- docs/artefacts/collatz/universal_clauses/palier2p14/**
- docs/artefacts/collatz/iteration_protocol/palier2p14/**
- docs/collatz_run_report_2026-03-09_local_H6_E*_palier2p14.md
- docs/collatz_run_report_2026-03-09_c3_local_descent_palier2p14.md
- docs/collatz_run_report_2026-03-09_universal_clauses_palier2p14.md

docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.md

@@ -0,0 +1,31 @@
+**Auteur** : Équipe 4NK
+
+# Vérification déterministe — C3 (clôture locale par descente/fusion)
+
+## Entrées
+
+- ARTEFACTS ROOT : `docs/artefacts/collatz`
+
+## Domaine
+
+- palier : 2^14
+- |L| (Lift(B12) à 2^14) : 768
+- min(L) : 27, max(L) : 16383
+
+## Élimination (témoins)
+
+- D8 : 120 (exact A8=13 : 60, descente vérifiée pour n>=N0 : 60, cas de base n<N0 : 0, frères (mate exact requis) : 60)
+- Fusion : 648 (m<n, U(m)=U^t(n) vérifié)
+- max(next) : 15751
+- N* (max des seuils N0/Nf calculés) : 138
+
+## Validation de base (finie)
+
+- Trajectoires vérifiées jusqu’à : 16383
+- Résultat : True (toutes atteignent 1)
+
+## Sorties
+
+- JSON : `docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json`
+- Markdown : `docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.md`
+

docs/artefacts/collatz/iteration_protocol/palier2p14/iteration_protocol.json

@@ -0,0 +1,83 @@
+{
+  "inputs": {
+    "local_h6_root": "/home/ncantu/code/algo/docs/artefacts/collatz",
+    "c2_verification_json": "/home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.json",
+    "c3_verification_json": "/home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json"
+  },
+  "state": {
+    "c3_palier": 14,
+    "c2_max_child_palier": 17,
+    "target_palier": 15,
+    "local_h6_states_found": 1,
+    "local_h6_missing_state_ids": [
+      1,
+      2,
+      3,
+      5,
+      6,
+      7,
+      8,
+      9,
+      10,
+      11,
+      12,
+      13,
+      14,
+      15,
+      16,
+      17,
+      18,
+      19,
+      20,
+      21,
+      22,
+      23,
+      24,
+      25,
+      26,
+      27,
+      28,
+      29,
+      30,
+      31,
+      32,
+      33,
+      34,
+      35,
+      36,
+      37,
+      38,
+      39,
+      40,
+      41,
+      42,
+      43,
+      44,
+      45,
+      46,
+      47,
+      48,
+      49,
+      50,
+      51,
+      52,
+      53,
+      54,
+      55,
+      56,
+      57,
+      58,
+      59,
+      60
+    ]
+  },
+  "commands": {
+    "C1_local_H6_generate": "python3 applications/collatz/collatz_k_scripts/collatz_generate_local_h6_artefacts.py --docs-dir docs --output-root docs/artefacts/collatz --state-ids all --palier-start 15 --palier-max 15 --t-min 9 --t-max 120 --write-index --index-path docs/artefacts/collatz/local_H6_index.md",
+    "C1_local_H6_run_reports": "python3 applications/collatz/collatz_k_scripts/collatz_generate_local_h6_run_reports.py --out-dir applications/collatz/out --docs-dir docs --local-h6-root docs/artefacts/collatz --palier 15 --index-path docs/artefacts/collatz/local_H6_index.md",
+    "C3_verify_local_descent": "python3 applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py --local-h6-root docs/artefacts/collatz --output-dir docs/artefacts/collatz/c3_local_descent --palier 15",
+    "C3_run_report_palier": "python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile c3_local_descent_palier --c3-artefacts-dir docs/artefacts/collatz/c3_local_descent --c3-palier 15 --out-dir applications/collatz/out --docs-dir docs",
+    "Universal_clauses_extract": "python3 applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py --verification-json docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p15.json --output-dir docs/artefacts/collatz/universal_clauses/palier2p15",
+    "Universal_clauses_verify": "python3 applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py --verification-json docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p15.json --clauses-json docs/artefacts/collatz/universal_clauses/palier2p15/clauses_universelles.json --output-dir docs/artefacts/collatz/universal_clauses/palier2p15",
+    "C2_verify_projective": "python3 applications/collatz/collatz_k_scripts/collatz_verify_c2_projective.py --repo-root /home/ncantu/code/algo --output-dir docs/artefacts/collatz/c2_projective"
+  }
+}

docs/artefacts/collatz/iteration_protocol/palier2p14/iteration_protocol.md

@@ -0,0 +1,63 @@
+**Auteur** : Équipe 4NK
+
+# Protocole déterministe — itération de palier (C1→C2→C3)
+
+## État courant (artefacts)
+
+- C3 palier certifié : 2^14 (d’après `/home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json`)
+- C2 transition max auditée : palier enfant 2^17 (d’après `/home/ncantu/code/algo/docs/artefacts/collatz/c2_projective/verification_c2_projective.json`)
+
+## Palier cible
+
+- palier cible : 2^15
+- H6 locale présente (états) : 1/60
+- états manquants : [1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60]
+
+## Étapes (commandes reproductibles)
+
+- **C1_local_H6_generate** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_local_h6_artefacts.py --docs-dir docs --output-root docs/artefacts/collatz --state-ids all --palier-start 15 --palier-max 15 --t-min 9 --t-max 120 --write-index --index-path docs/artefacts/collatz/local_H6_index.md
+```
+
+- **C1_local_H6_run_reports** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_local_h6_run_reports.py --out-dir applications/collatz/out --docs-dir docs --local-h6-root docs/artefacts/collatz --palier 15 --index-path docs/artefacts/collatz/local_H6_index.md
+```
+
+- **C3_verify_local_descent** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py --local-h6-root docs/artefacts/collatz --output-dir docs/artefacts/collatz/c3_local_descent --palier 15
+```
+
+- **C3_run_report_palier** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile c3_local_descent_palier --c3-artefacts-dir docs/artefacts/collatz/c3_local_descent --c3-palier 15 --out-dir applications/collatz/out --docs-dir docs
+```
+
+- **Universal_clauses_extract** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py --verification-json docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p15.json --output-dir docs/artefacts/collatz/universal_clauses/palier2p15
+```
+
+- **Universal_clauses_verify** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py --verification-json docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p15.json --clauses-json docs/artefacts/collatz/universal_clauses/palier2p15/clauses_universelles.json --output-dir docs/artefacts/collatz/universal_clauses/palier2p15
+```
+
+- **C2_verify_projective** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_verify_c2_projective.py --repo-root /home/ncantu/code/algo --output-dir docs/artefacts/collatz/c2_projective
+```
+
+## Notes
+
+- Pour `C3_verify_local_descent` : si `palier != 13`, les sorties attendues sont suffixées `..._palier2p<m>.{json,md}`.
+- Les rapports C3 par palier sont générés via le profil `c3_local_descent_palier` (nom de fichier déterministe).

docs/artefacts/collatz/local_E10_palier2p14/audits/verification_H6_E10_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E10) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_E10_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_Lift_E10_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_D8_E10_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_F9to18_E10_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E10_palier2p14/candidats/candidats_D8_E10_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+5439,13631,13,14

docs/artefacts/collatz/local_E10_palier2p14/candidats/candidats_F9to18_E10_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,7487,14,9,1,16,1 1 1 1 1 3 1 2 5,23843,2249,2,157242,1,1499,10,3391
+10,2367,14,10,1,17,1 1 1 1 1 3 1 1 4 3,84841,1067,2,275118,1,711,10,2367
+10,10559,14,10,1,16,1 1 1 1 1 3 1 1 3 3,76649,9515,2,78510,2,6343,10,2367
+13,319,14,13,2,23,1 1 1 1 1 3 1 1 1 4 2 2 4,3116051,61,1,18788532,1,81,10,319
+13,11583,14,13,1,21,1 1 1 1 1 3 1 2 1 1 3 2 3,2574355,8807,2,3102810,1,5871,10,3391
+13,15679,14,13,1,21,1 1 1 1 1 3 1 2 2 1 2 2 3,2758675,11921,2,3102810,2,7947,10,3391
+14,1343,14,14,1,23,1 1 1 1 1 3 1 3 2 1 1 1 3 3,10534969,767,2,15599886,1,511,10,1343
+14,6463,14,14,2,24,1 1 1 1 1 3 1 1 2 1 1 4 2 4,8080441,1843,1,31199772,1,2457,10,2367
+14,9535,14,14,2,24,1 1 1 1 1 3 1 3 1 2 2 2 1 4,11640889,2719,1,31199772,1,3625,10,1343
+14,12607,14,14,2,23,1 1 1 1 1 3 1 1 1 1 1 4 2 4,6812729,7189,1,6033948,4,9585,10,319
+14,14655,14,14,1,23,1 1 1 1 1 3 1 1 2 3 1 2 2 3,9186361,8357,2,15599886,1,5571,10,2367
+17,4415,14,17,2,28,1 1 1 1 1 3 1 1 1 1 2 4 2 1 2 1 4,271524355,2125,1,288745716,3,2833,10,319
+18,3391,14,18,2,29,1 1 1 1 1 3 1 2 1 3 2 2 1 1 1 2 1 4,1053985289,2449,1,60930780,61,3265,10,3391
+18,8511,14,18,1,28,1 1 1 1 1 3 1 1 1 2 3 2 2 1 1 1 4 1,930665993,12287,2,30465390,53,8191,10,319

docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_D8_E10_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    5439
+  ],
+  "covered": [
+    5439,
+    13631
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_F9to18_E10_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    319,
+    1343,
+    2367,
+    3391,
+    4415,
+    6463,
+    7487,
+    8511,
+    9535,
+    10559,
+    11583,
+    12607,
+    14655,
+    15679
+  ],
+  "covered": [
+    319,
+    1343,
+    2367,
+    3391,
+    4415,
+    6463,
+    7487,
+    8511,
+    9535,
+    10559,
+    11583,
+    12607,
+    14655,
+    15679
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E10_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 10,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_D8_E10_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 18,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/candidats/candidats_F9to18_E10_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_F9to18_E10_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/audits/verification_H6_E10_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_E10_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    319,
+    1343,
+    2367,
+    3391
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_Lift_E10_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    319,
+    1343,
+    2367,
+    3391,
+    4415,
+    5439,
+    6463,
+    7487,
+    8511,
+    9535,
+    10559,
+    11583,
+    12607,
+    13631,
+    14655,
+    15679
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_post_D8_E10_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    319,
+    1343,
+    2367,
+    3391,
+    4415,
+    6463,
+    7487,
+    8511,
+    9535,
+    10559,
+    11583,
+    12607,
+    14655,
+    15679
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E11_palier2p14/audits/verification_H6_E11_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E11) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_E11_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_Lift_E11_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_D8_E11_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_F9to43_E11_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E11_palier2p14/candidats/candidats_D8_E11_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+14751,6559,13,14

docs/artefacts/collatz/local_E11_palier2p14/candidats/candidats_F9to43_E11_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,415,14,9,1,16,1 1 1 1 2 1 2 2 5,23555,125,2,157242,1,83,11,415
+9,10655,14,9,1,15,1 1 1 1 2 1 2 3 3,25603,6401,2,58938,1,4267,11,2463
+9,11679,14,9,2,18,1 1 1 1 2 1 2 1 8,22531,877,1,707700,1,1169,11,3487
+10,3487,14,10,1,16,1 1 1 1 2 1 2 1 3 3,75785,3143,2,78510,2,2095,11,3487
+11,13727,14,11,2,18,1 1 1 1 2 1 2 1 1 1 6,213019,9277,1,77844,8,12369,11,1439
+11,15775,14,11,1,18,1 1 1 1 2 1 2 1 2 1 5,223259,10661,2,432138,1,7107,11,3487
+12,1439,14,12,1,21,1 1 1 1 2 1 2 1 1 2 3 5,716881,365,2,5228574,1,243,11,1439
+12,4511,14,12,2,20,1 1 1 1 2 1 2 2 1 1 3 4,762961,2287,1,1019964,2,3049,11,415
+12,7583,14,12,2,22,1 1 1 1 2 1 2 1 2 3 1 6,809041,961,1,10457148,1,1281,11,3487
+12,8607,14,12,2,20,1 1 1 1 2 1 2 2 2 1 2 4,824401,4363,1,1019964,3,5817,11,415
+13,2463,14,13,2,22,1 1 1 1 2 1 2 3 1 2 2 1 4,3245299,937,1,6205620,2,1249,11,2463
+17,5535,14,17,1,27,1 1 1 1 2 1 2 1 1 1 1 4 1 1 1 2 5,187034851,5327,2,144372858,2,3551,11,1439
+19,9631,14,19,1,30,1 1 1 1 2 1 2 1 1 3 1 2 1 1 1 4 1 2 3,2165810171,10427,2,896702538,4,6951,11,1439
+43,12703,14,43,1,70,1 1 1 1 2 1 2 2 1 2 1 2 1 1 3 1 1 2 2 2 2 1 1 1 1 3 2 1 2 1 1 1 1 2 1 2 2 3 3 1 2 1 5,1181939181809637901211,3533,2,2885260927363159755018,1,2355,11,415

docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_D8_E11_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    14751
+  ],
+  "covered": [
+    6559,
+    14751
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_F9to43_E11_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    415,
+    1439,
+    2463,
+    3487,
+    4511,
+    5535,
+    7583,
+    8607,
+    9631,
+    10655,
+    11679,
+    12703,
+    13727,
+    15775
+  ],
+  "covered": [
+    415,
+    1439,
+    2463,
+    3487,
+    4511,
+    5535,
+    7583,
+    8607,
+    9631,
+    10655,
+    11679,
+    12703,
+    13727,
+    15775
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E11_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 11,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_D8_E11_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 43,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/candidats/candidats_F9to43_E11_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_F9to43_E11_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/audits/verification_H6_E11_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_E11_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    415,
+    1439,
+    2463,
+    3487
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_Lift_E11_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    415,
+    1439,
+    2463,
+    3487,
+    4511,
+    5535,
+    6559,
+    7583,
+    8607,
+    9631,
+    10655,
+    11679,
+    12703,
+    13727,
+    14751,
+    15775
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_post_D8_E11_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    415,
+    1439,
+    2463,
+    3487,
+    4511,
+    5535,
+    7583,
+    8607,
+    9631,
+    10655,
+    11679,
+    12703,
+    13727,
+    15775
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E12_palier2p14/audits/verification_H6_E12_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E12) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_E12_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_Lift_E12_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_D8_E12_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_F9to50_E12_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E12_palier2p14/candidats/candidats_D8_E12_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+10271,2079,13,14

docs/artefacts/collatz/local_E12_palier2p14/candidats/candidats_F9to50_E12_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,6175,14,9,2,16,1 1 1 1 2 2 1 3 4,26755,1855,1,117876,1,2473,12,2079
+9,7199,14,9,1,15,1 1 1 1 2 2 1 1 5,23683,4325,2,58938,1,2883,12,3103
+9,12319,14,9,1,14,1 1 1 1 2 2 1 2 3,24707,14801,2,9786,4,9867,12,31
+11,3103,14,11,1,19,1 1 1 1 2 2 1 1 2 4 3,290971,1049,2,1218570,1,699,12,3103
+13,9247,14,13,1,21,1 1 1 1 2 2 1 1 1 1 3 3 3,2370931,7031,2,3102810,1,4687,12,1055
+13,11295,14,13,1,23,1 1 1 1 2 2 1 1 2 1 2 3 5,2463091,2147,2,21977178,1,1431,12,3103
+13,15391,14,13,2,22,1 1 1 1 2 2 1 1 3 1 1 3 4,2647411,5851,1,6205620,2,7801,12,3103
+16,8223,14,16,1,28,1 1 1 1 2 2 1 2 1 2 2 1 1 4 1 5,93179681,1319,2,719212926,1,879,12,31
+16,13343,14,16,2,30,1 1 1 1 2 2 1 1 1 2 1 2 1 3 4 6,79477537,535,1,3049038588,1,713,12,1055
+16,14367,14,16,2,26,1 1 1 1 2 2 1 3 1 1 2 1 1 3 1 4,90158881,9217,1,29139708,11,12289,12,2079
+21,5151,14,21,1,33,1 1 1 1 2 2 1 1 1 3 2 1 1 2 1 1 1 3 1 3 3,20560216147,6275,2,4849097370,7,4183,12,1055
+26,4127,14,26,1,42,1 1 1 1 2 2 1 2 2 1 1 1 1 1 2 2 4 2 1 1 2 2 1 1 3 3,7856748491465,2387,2,8110407876654,2,1591,12,31
+35,31,14,35,1,56,1 1 1 1 2 2 1 2 1 1 2 1 1 1 2 3 1 1 2 1 2 1 1 1 1 1 3 1 1 1 4 2 2 4 3,106346764803351611,23,2,116109691915784394,2,15,12,31
+50,1055,14,50,2,82,1 1 1 1 2 2 1 1 1 1 1 2 1 2 2 1 1 3 4 1 1 1 2 1 1 1 1 2 1 1 2 1 1 3 2 3 1 1 2 1 1 1 5 1 1 1 1 4 2 6,1823037703082640562865833,157,1,11635517884608139741393116,1,209,12,1055

docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_D8_E12_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    10271
+  ],
+  "covered": [
+    2079,
+    10271
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_F9to50_E12_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    31,
+    1055,
+    3103,
+    4127,
+    5151,
+    6175,
+    7199,
+    8223,
+    9247,
+    11295,
+    12319,
+    13343,
+    14367,
+    15391
+  ],
+  "covered": [
+    31,
+    1055,
+    3103,
+    4127,
+    5151,
+    6175,
+    7199,
+    8223,
+    9247,
+    11295,
+    12319,
+    13343,
+    14367,
+    15391
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E12_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 12,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_D8_E12_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 50,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/candidats/candidats_F9to50_E12_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_F9to50_E12_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/audits/verification_H6_E12_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_E12_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    31,
+    1055,
+    2079,
+    3103
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_Lift_E12_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    31,
+    1055,
+    2079,
+    3103,
+    4127,
+    5151,
+    6175,
+    7199,
+    8223,
+    9247,
+    10271,
+    11295,
+    12319,
+    13343,
+    14367,
+    15391
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_post_D8_E12_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    31,
+    1055,
+    3103,
+    4127,
+    5151,
+    6175,
+    7199,
+    8223,
+    9247,
+    11295,
+    12319,
+    13343,
+    14367,
+    15391
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E13_palier2p14/audits/verification_H6_E13_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E13) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_E13_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_Lift_E13_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_D8_E13_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_F9to24_E13_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E13_palier2p14/candidats/candidats_D8_E13_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+3551,11743,13,14

docs/artefacts/collatz/local_E13_palier2p14/candidats/candidats_F9to24_E13_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,5599,14,9,2,17,1 1 1 1 3 1 1 2 6,26435,841,1,314484,1,1121,13,1503
+9,15839,14,9,1,15,1 1 1 1 3 1 1 3 3,28483,9515,2,58938,1,6343,13,3551
+10,8671,14,10,2,17,1 1 1 1 3 1 1 1 3 4,84425,3907,1,157020,2,5209,13,479
+11,479,14,11,2,18,1 1 1 1 3 1 1 1 4 2 2,343387,325,1,77844,15,433,13,479
+11,13791,14,11,1,17,1 1 1 1 3 1 1 2 2 1 3,278875,18641,2,38922,11,12427,13,1503
+13,1503,14,13,1,24,1 1 1 1 3 1 1 2 1 3 1 1 7,2874419,143,2,47143002,1,95,13,1503
+13,9695,14,13,2,23,1 1 1 1 3 1 1 2 1 1 4 2 4,3243059,1843,1,18788532,1,2457,13,1503
+13,10719,14,13,2,22,1 1 1 1 3 1 1 1 1 1 1 3 6,2240563,4075,1,6205620,1,5433,13,2527
+13,14815,14,13,1,31,1 1 1 1 3 1 1 1 1 3 1 1 15,2424883,11,2,6439262298,1,7,13,2527
+14,7647,14,14,1,22,1 1 1 1 3 1 1 3 1 2 1 1 4 1,11549849,8723,2,3016974,7,5815,13,3551
+16,2527,14,16,2,27,1 1 1 1 3 1 1 1 1 1 2 2 1 1 5 4,71513441,811,1,230466300,1,1081,13,2527
+16,6623,14,16,2,27,1 1 1 1 3 1 1 1 1 2 4 2 1 2 1 4,114238817,2125,1,230466300,2,2833,13,2527
+16,12767,14,16,2,26,1 1 1 1 3 1 1 1 2 3 2 2 1 1 1 4,111218017,8191,1,29139708,13,10921,13,479
+24,4575,14,24,1,38,1 1 1 1 3 1 1 1 2 1 1 2 1 1 3 2 3 1 1 2 1 1 1 5,635666957057,4703,2,259774647870,4,3135,13,479

docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_D8_E13_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    3551
+  ],
+  "covered": [
+    3551,
+    11743
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_F9to24_E13_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    479,
+    1503,
+    2527,
+    4575,
+    5599,
+    6623,
+    7647,
+    8671,
+    9695,
+    10719,
+    12767,
+    13791,
+    14815,
+    15839
+  ],
+  "covered": [
+    479,
+    1503,
+    2527,
+    4575,
+    5599,
+    6623,
+    7647,
+    8671,
+    9695,
+    10719,
+    12767,
+    13791,
+    14815,
+    15839
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E13_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 13,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_D8_E13_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 24,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/candidats/candidats_F9to24_E13_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_F9to24_E13_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/audits/verification_H6_E13_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_E13_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    479,
+    1503,
+    2527,
+    3551
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_Lift_E13_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    479,
+    1503,
+    2527,
+    3551,
+    4575,
+    5599,
+    6623,
+    7647,
+    8671,
+    9695,
+    10719,
+    11743,
+    12767,
+    13791,
+    14815,
+    15839
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_post_D8_E13_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    479,
+    1503,
+    2527,
+    4575,
+    5599,
+    6623,
+    7647,
+    8671,
+    9695,
+    10719,
+    12767,
+    13791,
+    14815,
+    15839
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E14_palier2p14/audits/verification_H6_E14_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E14) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_E14_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_Lift_E14_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_D8_E14_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_F9to41_E14_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E14_palier2p14/candidats/candidats_D8_E14_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+13807,5615,13,14

docs/artefacts/collatz/local_E14_palier2p14/candidats/candidats_F9to41_E14_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,9711,14,9,2,16,1 1 1 2 1 1 2 3 4,26899,2917,1,117876,1,3889,14,1519
+9,10735,14,9,1,15,1 1 1 2 1 1 2 1 5,23827,6449,2,58938,1,4299,14,2543
+9,15855,14,9,1,14,1 1 1 2 1 1 2 2 3,24851,19049,2,9786,4,12699,14,3567
+10,1519,14,10,2,17,1 1 1 2 1 1 2 3 1 4,88889,685,1,157020,2,913,14,1519
+11,6639,14,11,1,17,1 1 1 2 1 1 2 1 2 4 1,292267,8975,2,38922,12,5983,14,2543
+12,8687,14,12,1,19,1 1 1 2 1 1 2 1 1 3 2 3,776449,8807,2,509982,3,5871,14,495
+12,11759,14,12,1,19,1 1 1 2 1 1 2 2 1 2 2 3,822529,11921,2,509982,3,7947,14,3567
+16,7663,14,16,1,25,1 1 1 2 1 1 2 2 2 1 1 1 2 1 1 5,73706833,9833,2,14569854,8,6555,14,3567
+17,495,14,17,1,28,1 1 1 2 1 1 2 1 1 2 2 1 2 1 2 4 3,231693299,239,2,547026042,1,159,14,495
+18,2543,14,18,2,29,1 1 1 2 1 1 2 1 3 2 2 1 1 1 2 1 4 2,1021561817,1837,1,60930780,59,2449,14,2543
+18,12783,14,18,1,30,1 1 1 2 1 1 2 1 1 1 3 2 1 2 1 2 4 3,774923225,4613,2,2446384494,1,3075,14,495
+19,3567,14,19,1,30,1 1 1 2 1 1 2 2 1 1 2 1 2 1 1 2 2 3 3,2078013323,3863,2,896702538,4,2575,14,3567
+26,14831,14,26,1,42,1 1 1 2 1 1 2 1 2 1 2 2 1 2 2 1 1 3 1 1 1 1 1 3 4 3,6040639747193,8573,2,8110407876654,1,5715,14,2543
+41,4591,14,41,1,65,1 1 1 2 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 2 1 2 1 1 1 1 2 4 2 1 2 1 3 6 1 1 3 1 1 2 3,85803309839067400339,4541,2,37734471687915736890,4,3027,14,495

docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_D8_E14_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    13807
+  ],
+  "covered": [
+    5615,
+    13807
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_F9to41_E14_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    495,
+    1519,
+    2543,
+    3567,
+    4591,
+    6639,
+    7663,
+    8687,
+    9711,
+    10735,
+    11759,
+    12783,
+    14831,
+    15855
+  ],
+  "covered": [
+    495,
+    1519,
+    2543,
+    3567,
+    4591,
+    6639,
+    7663,
+    8687,
+    9711,
+    10735,
+    11759,
+    12783,
+    14831,
+    15855
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E14_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 14,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_D8_E14_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 41,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/candidats/candidats_F9to41_E14_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_F9to41_E14_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/audits/verification_H6_E14_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_E14_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    495,
+    1519,
+    2543,
+    3567
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_Lift_E14_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    495,
+    1519,
+    2543,
+    3567,
+    4591,
+    5615,
+    6639,
+    7663,
+    8687,
+    9711,
+    10735,
+    11759,
+    12783,
+    13807,
+    14831,
+    15855
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_post_D8_E14_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    495,
+    1519,
+    2543,
+    3567,
+    4591,
+    6639,
+    7663,
+    8687,
+    9711,
+    10735,
+    11759,
+    12783,
+    14831,
+    15855
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E15_palier2p14/audits/verification_H6_E15_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E15) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_E15_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_Lift_E15_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_D8_E15_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_F9to47_E15_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E15_palier2p14/candidats/candidats_D8_E15_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+9327,1135,13,14

docs/artefacts/collatz/local_E15_palier2p14/candidats/candidats_F9to47_E15_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,5231,14,9,1,15,1 1 1 2 1 2 1 3 3,28051,3143,2,58938,1,2095,15,1135
+9,6255,14,9,2,16,1 1 1 2 1 2 1 1 6,24979,1879,1,117876,1,2505,15,2159
+9,11375,14,9,1,14,1 1 1 2 1 2 1 2 3,26003,13667,2,9786,4,9111,15,3183
+11,2159,14,11,1,20,1 1 1 2 1 2 1 1 2 3 5,269867,365,2,2791434,1,243,15,2159
+11,3183,14,11,1,21,1 1 1 2 1 2 1 2 2 1 7,274987,269,2,5937162,1,179,15,3183
+16,8303,14,16,1,26,1 1 1 2 1 2 1 1 1 1 4 1 1 1 2 5,71994065,5327,2,115233150,1,3551,15,111
+18,10351,14,18,2,29,1 1 1 2 1 2 1 1 2 1 3 1 1 1 3 2 1 4,773101913,7471,1,60930780,42,9961,15,2159
+18,14447,14,18,1,29,1 1 1 2 1 2 1 1 3 1 2 1 1 1 4 1 2 3,889194841,10427,2,835771758,2,6951,15,2159
+18,15471,14,18,1,28,1 1 1 2 1 2 1 2 1 1 1 1 2 1 2 2 3 3,649782617,22331,2,30465390,34,14887,15,3183
+19,111,14,19,2,31,1 1 1 2 1 2 1 1 1 1 1 3 1 1 1 4 2 2 4,1985479691,61,1,1793405076,4,81,15,111
+22,4207,14,22,2,37,1 1 1 2 1 2 1 1 1 3 1 1 1 1 1 3 2 1 2 3 1 6,58716511529,961,1,286792621980,1,1281,15,111
+28,13423,14,28,1,45,1 1 1 2 1 2 1 3 1 1 1 1 1 1 1 1 1 3 1 1 3 2 2 3 1 1 2 5,49198840473025,8729,2,59799531356574,2,5819,15,1135
+36,7279,14,36,1,57,1 1 1 2 1 2 1 2 1 2 1 1 1 1 1 1 2 1 1 2 1 2 2 2 1 1 5 1 1 1 1 1 3 1 3 5,286620852358475617,7583,2,132156293633569374,4,5055,15,3183
+47,12399,14,47,1,75,1 1 1 2 1 2 1 1 1 2 1 1 2 1 3 3 2 1 1 3 1 1 2 1 2 1 3 1 1 1 1 1 1 1 1 1 3 1 1 3 2 2 3 1 1 2 5,97586995038981297548059,8729,2,60159166870956478553130,3,5819,15,111

docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_D8_E15_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    9327
+  ],
+  "covered": [
+    1135,
+    9327
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_F9to47_E15_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    111,
+    2159,
+    3183,
+    4207,
+    5231,
+    6255,
+    7279,
+    8303,
+    10351,
+    11375,
+    12399,
+    13423,
+    14447,
+    15471
+  ],
+  "covered": [
+    111,
+    2159,
+    3183,
+    4207,
+    5231,
+    6255,
+    7279,
+    8303,
+    10351,
+    11375,
+    12399,
+    13423,
+    14447,
+    15471
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E15_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 15,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_D8_E15_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 47,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/candidats/candidats_F9to47_E15_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_F9to47_E15_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/audits/verification_H6_E15_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_E15_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    111,
+    1135,
+    2159,
+    3183
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_Lift_E15_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    111,
+    1135,
+    2159,
+    3183,
+    4207,
+    5231,
+    6255,
+    7279,
+    8303,
+    9327,
+    10351,
+    11375,
+    12399,
+    13423,
+    14447,
+    15471
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_post_D8_E15_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    111,
+    2159,
+    3183,
+    4207,
+    5231,
+    6255,
+    7279,
+    8303,
+    10351,
+    11375,
+    12399,
+    13423,
+    14447,
+    15471
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E16_palier2p14/audits/verification_H6_E16_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E16) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_E16_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_Lift_E16_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_D8_E16_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_F9to49_E16_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_D8_E16_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+2607,10799,13,14

docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_F9to49_E16_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,4655,14,9,2,15,1 1 1 2 2 1 1 2 4,27731,2797,1,19572,4,3729,16,559
+9,14895,14,9,1,17,1 1 1 2 2 1 1 3 5,29779,2237,2,353850,1,1491,16,2607
+9,15919,14,9,1,15,1 1 1 2 2 1 1 1 5,26707,9563,2,58938,1,6375,16,3631
+10,6703,14,10,1,16,1 1 1 2 2 1 1 3 1 3,97529,6041,2,78510,2,4027,16,2607
+10,11823,14,10,1,17,1 1 1 2 2 1 1 1 2 5,84217,5327,2,275118,1,3551,16,3631
+11,559,14,11,2,18,1 1 1 2 2 1 1 2 1 4 2,327403,379,1,77844,14,505,16,559
+11,13871,14,11,1,17,1 1 1 2 2 1 1 1 1 3 3,262891,18749,2,38922,11,12499,16,1583
+12,5679,14,12,1,20,1 1 1 2 2 1 1 1 1 2 2 5,796865,2879,2,2082846,1,1919,16,1583
+12,8751,14,12,1,22,1 1 1 2 2 1 1 2 1 1 2 7,842945,1109,2,11520030,1,739,16,559
+12,12847,14,12,1,24,1 1 1 2 2 1 1 2 2 1 1 9,904385,407,2,49268766,1,271,16,559
+17,9775,14,17,1,27,1 1 1 2 2 1 1 1 1 1 1 2 3 1 4 1 3,241073971,9407,2,144372858,3,6271,16,1583
+18,3631,14,18,1,28,1 1 1 2 2 1 1 1 2 1 1 1 2 2 1 3 2 3,683300249,5243,2,30465390,37,3495,16,3631
+20,7727,14,20,1,32,1 1 1 2 2 1 1 1 3 2 1 1 2 1 1 1 3 1 3 3,8536715873,6275,2,5911333086,3,4183,16,3631
+49,1583,14,49,2,81,1 1 1 2 2 1 1 1 1 1 2 1 2 2 1 1 3 4 1 1 1 2 1 1 1 1 2 1 1 2 1 1 3 2 3 1 1 2 1 1 1 5 1 1 1 1 4 2 6,791869186926011516637875,157,1,6296357600765304929876724,1,209,16,1583

docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_D8_E16_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    2607
+  ],
+  "covered": [
+    2607,
+    10799
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_F9to49_E16_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    559,
+    1583,
+    3631,
+    4655,
+    5679,
+    6703,
+    7727,
+    8751,
+    9775,
+    11823,
+    12847,
+    13871,
+    14895,
+    15919
+  ],
+  "covered": [
+    559,
+    1583,
+    3631,
+    4655,
+    5679,
+    6703,
+    7727,
+    8751,
+    9775,
+    11823,
+    12847,
+    13871,
+    14895,
+    15919
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E16_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 16,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_D8_E16_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 49,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_F9to49_E16_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_F9to49_E16_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/audits/verification_H6_E16_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_E16_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    559,
+    1583,
+    2607,
+    3631
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_Lift_E16_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    559,
+    1583,
+    2607,
+    3631,
+    4655,
+    5679,
+    6703,
+    7727,
+    8751,
+    9775,
+    10799,
+    11823,
+    12847,
+    13871,
+    14895,
+    15919
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_post_D8_E16_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    559,
+    1583,
+    3631,
+    4655,
+    5679,
+    6703,
+    7727,
+    8751,
+    9775,
+    11823,
+    12847,
+    13871,
+    14895,
+    15919
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E17_palier2p14/audits/verification_H6_E17_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E17) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_E17_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_Lift_E17_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_D8_E17_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_F9to26_E17_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E17_palier2p14/candidats/candidats_D8_E17_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+12391,4199,13,14

docs/artefacts/collatz/local_E17_palier2p14/candidats/candidats_F9to26_E17_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,14439,14,9,1,16,1 1 2 1 1 1 2 2 5,26795,4337,2,157242,1,2891,17,2151
+10,6247,14,10,2,17,1 1 2 1 1 1 2 2 2 4,88577,2815,1,157020,2,3753,17,2151
+10,9319,14,10,1,17,1 1 2 1 1 1 2 1 4 3,93697,4199,2,275118,1,2799,17,1127
+11,5223,14,11,1,17,1 1 2 1 1 1 2 1 2 2 3,260611,7061,2,38922,11,4707,17,1127
+12,1127,14,12,1,22,1 1 2 1 1 1 2 1 3 1 1 7,851465,143,2,11520030,1,95,17,1127
+12,7271,14,12,2,21,1 1 2 1 1 1 2 1 1 4 2 4,943625,1843,1,4165692,1,2457,17,3175
+12,10343,14,12,1,20,1 1 2 1 1 1 2 2 1 3 2 3,989705,5243,2,2082846,1,3495,17,2151
+16,11367,14,16,1,25,1 1 2 1 1 1 2 1 1 1 2 4 1 1 2 3,79313113,14585,2,14569854,9,9723,17,3175
+16,15463,14,16,1,32,1 1 2 1 1 1 2 1 1 2 3 2 1 1 3 9,88484057,155,2,12798808446,1,103,17,3175
+18,13415,14,18,1,30,1 1 2 1 1 1 2 1 2 1 1 4 1 1 1 1 1 7,738310049,4841,2,2446384494,1,3227,17,1127
+23,8295,14,23,1,39,1 1 2 1 1 1 2 3 2 1 1 1 2 1 1 1 4 1 1 1 1 4 5,285343164883,1421,2,1460981084010,1,947,17,103
+26,103,14,26,2,42,1 1 2 1 1 1 2 3 1 1 2 1 2 1 1 1 1 1 3 1 1 1 4 2 2 4,6468656859457,61,1,3026676219996,8,81,17,103
+26,2151,14,26,1,41,1 1 2 1 1 1 2 2 1 1 1 2 1 1 1 2 2 1 3 2 3 1 2 1 2 3,5815486333249,2489,2,1513338109998,7,1659,17,2151
+26,3175,14,26,2,42,1 1 2 1 1 1 2 1 1 1 1 1 1 1 3 6 1 2 2 1 1 1 2 1 4 2,8787435953473,1837,1,3026676219996,11,2449,17,3175

docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_D8_E17_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    12391
+  ],
+  "covered": [
+    4199,
+    12391
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_F9to26_E17_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    103,
+    1127,
+    2151,
+    3175,
+    5223,
+    6247,
+    7271,
+    8295,
+    9319,
+    10343,
+    11367,
+    13415,
+    14439,
+    15463
+  ],
+  "covered": [
+    103,
+    1127,
+    2151,
+    3175,
+    5223,
+    6247,
+    7271,
+    8295,
+    9319,
+    10343,
+    11367,
+    13415,
+    14439,
+    15463
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E17_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 17,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_D8_E17_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 26,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/candidats/candidats_F9to26_E17_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_F9to26_E17_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/audits/verification_H6_E17_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_E17_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    103,
+    1127,
+    2151,
+    3175
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_Lift_E17_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    103,
+    1127,
+    2151,
+    3175,
+    4199,
+    5223,
+    6247,
+    7271,
+    8295,
+    9319,
+    10343,
+    11367,
+    12391,
+    13415,
+    14439,
+    15463
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_post_D8_E17_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    103,
+    1127,
+    2151,
+    3175,
+    5223,
+    6247,
+    7271,
+    8295,
+    9319,
+    10343,
+    11367,
+    13415,
+    14439,
+    15463
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E18_palier2p14/audits/verification_H6_E18_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E18) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_E18_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_Lift_E18_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_D8_E18_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_F9to36_E18_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E18_palier2p14/candidats/candidats_D8_E18_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+7911,16103,13,14

docs/artefacts/collatz/local_E18_palier2p14/candidats/candidats_F9to36_E18_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,9959,14,9,2,15,1 1 2 1 1 2 1 2 4,27947,5983,1,19572,5,7977,18,1767
+10,2791,14,10,1,18,1 1 2 1 1 2 1 1 1 7,82817,629,2,668334,1,419,18,2791
+10,5863,14,10,2,18,1 1 2 1 1 2 1 2 1 6,87937,1321,1,550236,1,1761,18,1767
+10,12007,14,10,1,18,1 1 2 1 1 2 1 3 1 5,98177,2705,2,668334,1,1803,18,3815
+11,3815,14,11,1,17,1 1 2 1 1 2 1 3 2 2 1,384643,5159,2,38922,17,3439,18,3815
+11,13031,14,11,1,18,1 1 2 1 1 2 1 1 3 2 3,299651,8807,2,432138,1,5871,18,743
+12,1767,14,12,1,19,1 1 2 1 1 2 1 2 2 2 1 3,992137,1793,2,509982,3,1195,18,1767
+12,4839,14,12,1,19,1 1 2 1 1 2 1 1 4 1 1 3,1038217,4907,2,509982,4,3271,18,743
+15,15079,14,15,1,25,1 1 2 1 1 2 1 1 1 1 1 2 1 6 3,25363315,6449,2,71965482,1,4299,18,2791
+16,743,14,16,1,27,1 1 2 1 1 2 1 1 2 2 1 2 1 2 4 3,94323289,239,2,316559742,1,159,18,743
+18,8935,14,18,1,29,1 1 2 1 1 2 1 1 2 1 1 1 1 1 2 1 6 3,678442273,6449,2,835771758,1,4299,18,743
+18,10983,14,18,2,29,1 1 2 1 1 2 1 1 1 2 2 1 1 3 2 1 2 4,736488737,7927,1,60930780,40,10569,18,2791
+18,14055,14,18,1,34,1 1 2 1 1 2 1 2 1 1 2 1 1 4 1 2 1 9,823558433,317,2,50764766574,1,211,18,1767
+36,6887,14,36,1,57,1 1 2 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 2 1 2 1 1 1 1 2 4 2 1 2 1 3 6 1 1 3,324721153832935273,7175,2,132156293633569374,4,4783,18,2791

docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_D8_E18_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    7911
+  ],
+  "covered": [
+    7911,
+    16103
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_F9to36_E18_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    743,
+    1767,
+    2791,
+    3815,
+    4839,
+    5863,
+    6887,
+    8935,
+    9959,
+    10983,
+    12007,
+    13031,
+    14055,
+    15079
+  ],
+  "covered": [
+    743,
+    1767,
+    2791,
+    3815,
+    4839,
+    5863,
+    6887,
+    8935,
+    9959,
+    10983,
+    12007,
+    13031,
+    14055,
+    15079
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E18_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 18,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_D8_E18_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 36,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/candidats/candidats_F9to36_E18_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_F9to36_E18_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/audits/verification_H6_E18_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_E18_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    743,
+    1767,
+    2791,
+    3815
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_Lift_E18_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    743,
+    1767,
+    2791,
+    3815,
+    4839,
+    5863,
+    6887,
+    7911,
+    8935,
+    9959,
+    10983,
+    12007,
+    13031,
+    14055,
+    15079,
+    16103
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_post_D8_E18_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    743,
+    1767,
+    2791,
+    3815,
+    4839,
+    5863,
+    6887,
+    8935,
+    9959,
+    10983,
+    12007,
+    13031,
+    14055,
+    15079
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E19_palier2p14/audits/verification_H6_E19_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E19) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_E19_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_Lift_E19_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_D8_E19_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_F9to35_E19_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E19_palier2p14/candidats/candidats_D8_E19_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+1191,9383,13,14

docs/artefacts/collatz/local_E19_palier2p14/candidats/candidats_F9to35_E19_palier2p14.csv

@@ -0,0 +1,15 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
+9,3239,14,9,1,14,1 1 2 1 2 1 1 2 3,29675,3893,2,9786,5,2595,19,3239
+10,11431,14,10,1,16,1 1 2 1 2 1 1 2 2 3,97217,10301,2,78510,2,6867,19,3239
+11,5287,14,11,1,19,1 1 2 1 2 1 1 3 1 1 5,326467,1787,2,1218570,1,1191,19,1191
+11,13479,14,11,2,19,1 1 2 1 2 1 1 3 2 1 4,367427,4555,1,864276,2,6073,19,1191
+11,14503,14,11,1,19,1 1 2 1 2 1 1 1 4 2 3,372547,4901,2,1218570,1,3267,19,2215
+15,7335,14,15,1,24,1 1 2 1 2 1 1 2 1 1 1 3 1 3 3,27797555,6275,2,21633834,2,4183,19,3239
+15,12455,14,15,1,25,1 1 2 1 2 1 1 1 1 4 1 1 1 2 5,28822579,5327,2,71965482,1,3551,19,167
+17,15527,14,17,2,28,1 1 2 1 2 1 1 2 1 3 1 1 1 3 2 1 4,321980875,7471,1,288745716,4,9961,19,3239
+18,167,14,18,2,30,1 1 2 1 2 1 1 1 1 1 3 1 1 1 4 2 2 4,799029601,61,1,1671543516,2,81,19,167
+18,10407,14,18,1,28,1 1 2 1 2 1 1 1 2 2 2 1 1 2 1 1 3 3,820826465,15023,2,30465390,46,10015,19,2215
+21,6311,14,21,2,36,1 1 2 1 2 1 1 1 3 1 1 1 1 1 3 2 1 2 3 1 6,24128079163,961,1,164317017396,1,1281,19,2215
+27,2215,14,27,2,44,1 1 2 1 2 1 1 1 2 1 2 1 1 1 3 1 1 1 1 1 3 2 1 2 3 1 6,15392359437571,961,1,22274168193300,2,1281,19,2215
+30,8359,14,30,1,50,1 1 2 1 2 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 2 1 5 1 1 3 2 2 2 5,456984383201105,1529,2,2965917456338574,1,1019,19,167
+35,4263,14,35,1,57,1 1 2 1 2 1 1 1 1 2 1 3 1 2 3 1 1 1 1 1 1 2 2 1 2 1 1 1 2 1 4 2 2 4 3,150116783306795491,1481,2,332282474029568202,1,987,19,167

docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_D8_E19_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    1191
+  ],
+  "covered": [
+    1191,
+    9383
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_F9to35_E19_palier2p14.json

@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    167,
+    2215,
+    3239,
+    4263,
+    5287,
+    6311,
+    7335,
+    8359,
+    10407,
+    11431,
+    12455,
+    13479,
+    14503,
+    15527
+  ],
+  "covered": [
+    167,
+    2215,
+    3239,
+    4263,
+    5287,
+    6311,
+    7335,
+    8359,
+    10407,
+    11431,
+    12455,
+    13479,
+    14503,
+    15527
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E19_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 19,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 16,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_D8_E19_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 35,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/candidats/candidats_F9to35_E19_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_F9to35_E19_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/audits/verification_H6_E19_palier2p14.md",
+  "success": true
+}

docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_E19_B12.json

@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    167,
+    1191,
+    2215,
+    3239
+  ],
+  "palier": 12
+}

docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_Lift_E19_palier2p14.json

@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    167,
+    1191,
+    2215,
+    3239,
+    4263,
+    5287,
+    6311,
+    7335,
+    8359,
+    9383,
+    10407,
+    11431,
+    12455,
+    13479,
+    14503,
+    15527
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_post_D8_E19_palier2p14.json

@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    167,
+    2215,
+    3239,
+    4263,
+    5287,
+    6311,
+    7335,
+    8359,
+    10407,
+    11431,
+    12455,
+    13479,
+    14503,
+    15527
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E1_palier2p14/audits/verification_H6_E1_palier2p14.md

@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E1) — couverture des relèvements au palier \(2^{14}\)
+
+## Objet
+
+Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de certificats), que l’union des certificats locaux couvre le domaine des relèvements impairs.
+
+## Domaine
+
+- base : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_E1_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_Lift_E1_palier2p14.json`
+- taille : 64
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_D8_E1_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_F9to43_E1_palier2p14.json`
+  - covered : 62 classes
+
+## Résultat
+
+- |L| = 64
+- |U| = 64
+- |L \ U| = 0
+

docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_D8_E1_palier2p14.csv

@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+255,8447,13,14

docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_F9to43_E1_palier2p14.csv

@@ -0,0 +1,63 @@
+horizon_t,classe_mod_2^m,m,t,a,A_t,mot_a0..,C_t,y,y_mod_3,DeltaF,Nf,preimage_m,etat_id,base_mod_4096
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docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_D8_E1_palier2p14.json

@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    255
+  ],
+  "covered": [
+    255,
+    8447
+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_F9to43_E1_palier2p14.json

@@ -0,0 +1,131 @@
+{
+  "clauses": [
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+    767,
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+  ],
+  "palier": 14
+}

docs/artefacts/collatz/local_E1_palier2p14/metadata.json

@@ -0,0 +1,25 @@
+{
+  "state_id": 1,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 64,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_D8_E1_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 43,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_F9to43_E1_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_F9to43_E1_palier2p14.json",
+    "clauses": 62,
+    "covered": 62
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/audits/verification_H6_E1_palier2p14.md",
+  "success": true
+}