From 40fa3808a7bb9078d6078205855dcc2a08578c94 Mon Sep 17 00:00:00 2001
From: ncantu <ncantu@tour>
Date: Mon, 9 Mar 2026 05:06:13 +0100
Subject: [PATCH] collatz: generate palier2p14 H6/C3 and universal clause
 artefacts
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
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**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
---
 ...ification_c3_local_descent_palier2p14.json | 10180 ++++++
 ...erification_c3_local_descent_palier2p14.md |    31 +
 .../palier2p14/iteration_protocol.json        |    83 +
 .../palier2p14/iteration_protocol.md          |    63 +
 .../audits/verification_H6_E10_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E10_palier2p14.csv |     2 +
 .../candidats_F9to18_E10_palier2p14.csv       |    15 +
 .../certificat_D8_E10_palier2p14.json         |    10 +
 .../certificat_F9to18_E10_palier2p14.json     |    35 +
 .../local_E10_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E10_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E10_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E10_palier2p14.json  |    19 +
 .../audits/verification_H6_E11_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E11_palier2p14.csv |     2 +
 .../candidats_F9to43_E11_palier2p14.csv       |    15 +
 .../certificat_D8_E11_palier2p14.json         |    10 +
 .../certificat_F9to43_E11_palier2p14.json     |    35 +
 .../local_E11_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E11_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E11_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E11_palier2p14.json  |    19 +
 .../audits/verification_H6_E12_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E12_palier2p14.csv |     2 +
 .../candidats_F9to50_E12_palier2p14.csv       |    15 +
 .../certificat_D8_E12_palier2p14.json         |    10 +
 .../certificat_F9to50_E12_palier2p14.json     |    35 +
 .../local_E12_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E12_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E12_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E12_palier2p14.json  |    19 +
 .../audits/verification_H6_E13_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E13_palier2p14.csv |     2 +
 .../candidats_F9to24_E13_palier2p14.csv       |    15 +
 .../certificat_D8_E13_palier2p14.json         |    10 +
 .../certificat_F9to24_E13_palier2p14.json     |    35 +
 .../local_E13_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E13_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E13_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E13_palier2p14.json  |    19 +
 .../audits/verification_H6_E14_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E14_palier2p14.csv |     2 +
 .../candidats_F9to41_E14_palier2p14.csv       |    15 +
 .../certificat_D8_E14_palier2p14.json         |    10 +
 .../certificat_F9to41_E14_palier2p14.json     |    35 +
 .../local_E14_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E14_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E14_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E14_palier2p14.json  |    19 +
 .../audits/verification_H6_E15_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E15_palier2p14.csv |     2 +
 .../candidats_F9to47_E15_palier2p14.csv       |    15 +
 .../certificat_D8_E15_palier2p14.json         |    10 +
 .../certificat_F9to47_E15_palier2p14.json     |    35 +
 .../local_E15_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E15_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E15_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E15_palier2p14.json  |    19 +
 .../audits/verification_H6_E16_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E16_palier2p14.csv |     2 +
 .../candidats_F9to49_E16_palier2p14.csv       |    15 +
 .../certificat_D8_E16_palier2p14.json         |    10 +
 .../certificat_F9to49_E16_palier2p14.json     |    35 +
 .../local_E16_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E16_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E16_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E16_palier2p14.json  |    19 +
 .../audits/verification_H6_E17_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E17_palier2p14.csv |     2 +
 .../candidats_F9to26_E17_palier2p14.csv       |    15 +
 .../certificat_D8_E17_palier2p14.json         |    10 +
 .../certificat_F9to26_E17_palier2p14.json     |    35 +
 .../local_E17_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E17_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E17_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E17_palier2p14.json  |    19 +
 .../audits/verification_H6_E18_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E18_palier2p14.csv |     2 +
 .../candidats_F9to36_E18_palier2p14.csv       |    15 +
 .../certificat_D8_E18_palier2p14.json         |    10 +
 .../certificat_F9to36_E18_palier2p14.json     |    35 +
 .../local_E18_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E18_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E18_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E18_palier2p14.json  |    19 +
 .../audits/verification_H6_E19_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E19_palier2p14.csv |     2 +
 .../candidats_F9to35_E19_palier2p14.csv       |    15 +
 .../certificat_D8_E19_palier2p14.json         |    10 +
 .../certificat_F9to35_E19_palier2p14.json     |    35 +
 .../local_E19_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E19_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E19_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E19_palier2p14.json  |    19 +
 .../audits/verification_H6_E1_palier2p14.md   |    27 +
 .../candidats/candidats_D8_E1_palier2p14.csv  |     2 +
 .../candidats_F9to43_E1_palier2p14.csv        |    63 +
 .../certificat_D8_E1_palier2p14.json          |    10 +
 .../certificat_F9to43_E1_palier2p14.json      |   131 +
 .../collatz/local_E1_palier2p14/metadata.json |    25 +
 .../noyaux/noyau_E1_B12.json                  |    21 +
 .../noyaux/noyau_Lift_E1_palier2p14.json      |    69 +
 .../noyaux/noyau_post_D8_E1_palier2p14.json   |    67 +
 .../audits/verification_H6_E20_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E20_palier2p14.csv |     2 +
 .../candidats_F9to31_E20_palier2p14.csv       |    15 +
 .../certificat_D8_E20_palier2p14.json         |    10 +
 .../certificat_F9to31_E20_palier2p14.json     |    35 +
 .../local_E20_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E20_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E20_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E20_palier2p14.json  |    19 +
 .../audits/verification_H6_E21_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E21_palier2p14.csv |     2 +
 .../candidats_F9to45_E21_palier2p14.csv       |    15 +
 .../certificat_D8_E21_palier2p14.json         |    10 +
 .../certificat_F9to45_E21_palier2p14.json     |    35 +
 .../local_E21_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E21_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E21_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E21_palier2p14.json  |    19 +
 .../audits/verification_H6_E22_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E22_palier2p14.csv |     2 +
 .../candidats_F9to30_E22_palier2p14.csv       |    15 +
 .../certificat_D8_E22_palier2p14.json         |    10 +
 .../certificat_F9to30_E22_palier2p14.json     |    35 +
 .../local_E22_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E22_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E22_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E22_palier2p14.json  |    19 +
 .../audits/verification_H6_E23_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E23_palier2p14.csv |     2 +
 .../candidats_F9to33_E23_palier2p14.csv       |    15 +
 .../certificat_D8_E23_palier2p14.json         |    10 +
 .../certificat_F9to33_E23_palier2p14.json     |    35 +
 .../local_E23_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E23_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E23_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E23_palier2p14.json  |    19 +
 .../audits/verification_H6_E24_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E24_palier2p14.csv |     2 +
 .../candidats_F9to30_E24_palier2p14.csv       |    15 +
 .../certificat_D8_E24_palier2p14.json         |    10 +
 .../certificat_F9to30_E24_palier2p14.json     |    35 +
 .../local_E24_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E24_B12.json                 |     9 +
 .../noyaux/noyau_Lift_E24_palier2p14.json     |    21 +
 .../noyaux/noyau_post_D8_E24_palier2p14.json  |    19 +
 .../audits/verification_H6_E25_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E25_palier2p14.csv |     2 +
 .../candidats_F9to51_E25_palier2p14.csv       |     7 +
 .../certificat_D8_E25_palier2p14.json         |    10 +
 .../certificat_F9to51_E25_palier2p14.json     |    19 +
 .../local_E25_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E25_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E25_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E25_palier2p14.json  |    11 +
 .../audits/verification_H6_E26_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E26_palier2p14.csv |     2 +
 .../candidats_F9to27_E26_palier2p14.csv       |     7 +
 .../certificat_D8_E26_palier2p14.json         |    10 +
 .../certificat_F9to27_E26_palier2p14.json     |    19 +
 .../local_E26_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E26_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E26_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E26_palier2p14.json  |    11 +
 .../audits/verification_H6_E27_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E27_palier2p14.csv |     2 +
 .../candidats_F9to17_E27_palier2p14.csv       |     7 +
 .../certificat_D8_E27_palier2p14.json         |    10 +
 .../certificat_F9to17_E27_palier2p14.json     |    19 +
 .../local_E27_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E27_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E27_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E27_palier2p14.json  |    11 +
 .../audits/verification_H6_E28_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E28_palier2p14.csv |     2 +
 .../candidats_F9to50_E28_palier2p14.csv       |     7 +
 .../certificat_D8_E28_palier2p14.json         |    10 +
 .../certificat_F9to50_E28_palier2p14.json     |    19 +
 .../local_E28_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E28_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E28_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E28_palier2p14.json  |    11 +
 .../audits/verification_H6_E29_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E29_palier2p14.csv |     2 +
 .../candidats_F9to16_E29_palier2p14.csv       |     7 +
 .../certificat_D8_E29_palier2p14.json         |    10 +
 .../certificat_F9to16_E29_palier2p14.json     |    19 +
 .../local_E29_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E29_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E29_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E29_palier2p14.json  |    11 +
 .../audits/verification_H6_E2_palier2p14.md   |    27 +
 .../candidats/candidats_D8_E2_palier2p14.csv  |     2 +
 .../candidats_F9to42_E2_palier2p14.csv        |    31 +
 .../certificat_D8_E2_palier2p14.json          |    10 +
 .../certificat_F9to42_E2_palier2p14.json      |    67 +
 .../collatz/local_E2_palier2p14/metadata.json |    25 +
 .../noyaux/noyau_E2_B12.json                  |    13 +
 .../noyaux/noyau_Lift_E2_palier2p14.json      |    37 +
 .../noyaux/noyau_post_D8_E2_palier2p14.json   |    35 +
 .../audits/verification_H6_E30_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E30_palier2p14.csv |     2 +
 .../candidats_F9to14_E30_palier2p14.csv       |     7 +
 .../certificat_D8_E30_palier2p14.json         |    10 +
 .../certificat_F9to14_E30_palier2p14.json     |    19 +
 .../local_E30_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E30_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E30_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E30_palier2p14.json  |    11 +
 .../audits/verification_H6_E31_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E31_palier2p14.csv |     2 +
 .../candidats_F9to35_E31_palier2p14.csv       |     7 +
 .../certificat_D8_E31_palier2p14.json         |    10 +
 .../certificat_F9to35_E31_palier2p14.json     |    19 +
 .../local_E31_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E31_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E31_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E31_palier2p14.json  |    11 +
 .../audits/verification_H6_E32_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E32_palier2p14.csv |     2 +
 .../candidats_F9to36_E32_palier2p14.csv       |     7 +
 .../certificat_D8_E32_palier2p14.json         |    10 +
 .../certificat_F9to36_E32_palier2p14.json     |    19 +
 .../local_E32_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E32_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E32_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E32_palier2p14.json  |    11 +
 .../audits/verification_H6_E33_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E33_palier2p14.csv |     2 +
 .../candidats_F9to18_E33_palier2p14.csv       |     7 +
 .../certificat_D8_E33_palier2p14.json         |    10 +
 .../certificat_F9to18_E33_palier2p14.json     |    19 +
 .../local_E33_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E33_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E33_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E33_palier2p14.json  |    11 +
 .../audits/verification_H6_E34_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E34_palier2p14.csv |     2 +
 .../candidats_F9to18_E34_palier2p14.csv       |     7 +
 .../certificat_D8_E34_palier2p14.json         |    10 +
 .../certificat_F9to18_E34_palier2p14.json     |    19 +
 .../local_E34_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E34_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E34_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E34_palier2p14.json  |    11 +
 .../audits/verification_H6_E35_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E35_palier2p14.csv |     2 +
 .../candidats_F9to34_E35_palier2p14.csv       |     7 +
 .../certificat_D8_E35_palier2p14.json         |    10 +
 .../certificat_F9to34_E35_palier2p14.json     |    19 +
 .../local_E35_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E35_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E35_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E35_palier2p14.json  |    11 +
 .../audits/verification_H6_E36_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E36_palier2p14.csv |     2 +
 .../candidats_F9to13_E36_palier2p14.csv       |     7 +
 .../certificat_D8_E36_palier2p14.json         |    10 +
 .../certificat_F9to13_E36_palier2p14.json     |    19 +
 .../local_E36_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E36_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E36_palier2p14.json     |    13 +
 .../noyaux/noyau_post_D8_E36_palier2p14.json  |    11 +
 .../audits/verification_H6_E37_palier2p14.md  |    27 +
 .../candidats/candidats_D8_E37_palier2p14.csv |     2 +
 .../candidats_F9to23_E37_palier2p14.csv       |     7 +
 .../certificat_D8_E37_palier2p14.json         |    10 +
 .../certificat_F9to23_E37_palier2p14.json     |    19 +
 .../local_E37_palier2p14/metadata.json        |    25 +
 .../noyaux/noyau_E37_B12.json                 |     7 +
 .../noyaux/noyau_Lift_E37_palier2p14.json     |    13 +
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diff --git a/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json b/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json
new file mode 100644
index 0000000..c2a7693
--- /dev/null
+++ b/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json
@@ -0,0 +1,10180 @@
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+      "next": 9187
+    },
+    {
+      "n": 16127,
+      "kind": "F",
+      "t": 19,
+      "a": 1,
+      "y": 8729,
+      "preimage_m": 5819,
+      "A_t": 31,
+      "C_t": 1594085083,
+      "DeltaF": 4117928010,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_F9to43_E1_palier2p14.csv",
+      "next": 5819
+    },
+    {
+      "n": 16155,
+      "kind": "F",
+      "t": 26,
+      "a": 1,
+      "y": 18677,
+      "preimage_m": 12451,
+      "A_t": 41,
+      "C_t": 7314887289709,
+      "DeltaF": 1513338109998,
+      "Nf": 9,
+      "source_csv": "docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_F9to45_E7_palier2p14.csv",
+      "next": 12451
+    },
+    {
+      "n": 16219,
+      "kind": "F",
+      "t": 9,
+      "a": 1,
+      "y": 19487,
+      "preimage_m": 12991,
+      "A_t": 14,
+      "C_t": 36431,
+      "DeltaF": 9786,
+      "Nf": 6,
+      "source_csv": "docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_F9to16_E46_palier2p14.csv",
+      "next": 12991
+    },
+    {
+      "n": 16231,
+      "kind": "F",
+      "t": 15,
+      "a": 1,
+      "y": 13883,
+      "preimage_m": 9255,
+      "A_t": 24,
+      "C_t": 20980211,
+      "DeltaF": 21633834,
+      "Nf": 2,
+      "source_csv": "docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_F9to64_E6_palier2p14.csv",
+      "next": 9255
+    },
+    {
+      "n": 16255,
+      "kind": "F",
+      "t": 11,
+      "a": 1,
+      "y": 21971,
+      "preimage_m": 14647,
+      "A_t": 17,
+      "C_t": 258427,
+      "DeltaF": 38922,
+      "Nf": 10,
+      "source_csv": "docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_F9to28_E8_palier2p14.csv",
+      "next": 14647
+    },
+    {
+      "n": 16287,
+      "kind": "F",
+      "t": 9,
+      "a": 1,
+      "y": 1223,
+      "preimage_m": 815,
+      "A_t": 18,
+      "C_t": 25091,
+      "DeltaF": 747066,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_F9to16_E29_palier2p14.csv",
+      "next": 815
+    },
+    {
+      "n": 16295,
+      "kind": "D_brother",
+      "k": 8,
+      "A_k": 15,
+      "C_k": 10489,
+      "mate_exact": 8103
+    },
+    {
+      "n": 16319,
+      "kind": "F",
+      "t": 23,
+      "a": 1,
+      "y": 2795,
+      "preimage_m": 1863,
+      "A_t": 39,
+      "C_t": 244964539147,
+      "DeltaF": 1460981084010,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_F9to35_E3_palier2p14.csv",
+      "next": 1863
+    },
+    {
+      "n": 16367,
+      "kind": "F",
+      "t": 18,
+      "a": 1,
+      "y": 23627,
+      "preimage_m": 15751,
+      "A_t": 28,
+      "C_t": 1413375449,
+      "DeltaF": 30465390,
+      "Nf": 84,
+      "source_csv": "docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_F9to18_E53_palier2p14.csv",
+      "next": 15751
+    },
+    {
+      "n": 16379,
+      "kind": "F",
+      "t": 34,
+      "a": 1,
+      "y": 7583,
+      "preimage_m": 5055,
+      "A_t": 55,
+      "C_t": 50808735965035693,
+      "DeltaF": 74732027657558766,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_F9to34_E48_palier2p14.csv",
+      "next": 5055
+    },
+    {
+      "n": 16383,
+      "kind": "F",
+      "t": 27,
+      "a": 1,
+      "y": 3551,
+      "preimage_m": 2367,
+      "A_t": 45,
+      "C_t": 9541690900411,
+      "DeltaF": 90301921296522,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_F9to43_E1_palier2p14.csv",
+      "next": 2367
+    }
+  ]
+}
diff --git a/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.md b/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.md
new file mode 100644
index 0000000..12105ed
--- /dev/null
+++ b/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`
+
diff --git a/docs/artefacts/collatz/iteration_protocol/palier2p14/iteration_protocol.json b/docs/artefacts/collatz/iteration_protocol/palier2p14/iteration_protocol.json
new file mode 100644
index 0000000..e17cfc0
--- /dev/null
+++ b/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"
+  }
+}
diff --git a/docs/artefacts/collatz/iteration_protocol/palier2p14/iteration_protocol.md b/docs/artefacts/collatz/iteration_protocol/palier2p14/iteration_protocol.md
new file mode 100644
index 0000000..b7ec7c6
--- /dev/null
+++ b/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).
diff --git a/docs/artefacts/collatz/local_E10_palier2p14/audits/verification_H6_E10_palier2p14.md b/docs/artefacts/collatz/local_E10_palier2p14/audits/verification_H6_E10_palier2p14.md
new file mode 100644
index 0000000..2b8740e
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E10_palier2p14/candidats/candidats_D8_E10_palier2p14.csv b/docs/artefacts/collatz/local_E10_palier2p14/candidats/candidats_D8_E10_palier2p14.csv
new file mode 100644
index 0000000..f7fa6a4
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E10_palier2p14/candidats/candidats_F9to18_E10_palier2p14.csv b/docs/artefacts/collatz/local_E10_palier2p14/candidats/candidats_F9to18_E10_palier2p14.csv
new file mode 100644
index 0000000..b66013c
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_D8_E10_palier2p14.json b/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_D8_E10_palier2p14.json
new file mode 100644
index 0000000..e71d487
--- /dev/null
+++ b/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_D8_E10_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    5439
+  ],
+  "covered": [
+    5439,
+    13631
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_F9to18_E10_palier2p14.json b/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_F9to18_E10_palier2p14.json
new file mode 100644
index 0000000..e37baa4
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E10_palier2p14/metadata.json b/docs/artefacts/collatz/local_E10_palier2p14/metadata.json
new file mode 100644
index 0000000..db485b5
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_E10_B12.json b/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_E10_B12.json
new file mode 100644
index 0000000..14bafd5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_E10_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    319,
+    1343,
+    2367,
+    3391
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_Lift_E10_palier2p14.json b/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_Lift_E10_palier2p14.json
new file mode 100644
index 0000000..fbb4c65
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_post_D8_E10_palier2p14.json b/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_post_D8_E10_palier2p14.json
new file mode 100644
index 0000000..940d967
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E11_palier2p14/audits/verification_H6_E11_palier2p14.md b/docs/artefacts/collatz/local_E11_palier2p14/audits/verification_H6_E11_palier2p14.md
new file mode 100644
index 0000000..4b8e728
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E11_palier2p14/candidats/candidats_D8_E11_palier2p14.csv b/docs/artefacts/collatz/local_E11_palier2p14/candidats/candidats_D8_E11_palier2p14.csv
new file mode 100644
index 0000000..a737382
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E11_palier2p14/candidats/candidats_F9to43_E11_palier2p14.csv b/docs/artefacts/collatz/local_E11_palier2p14/candidats/candidats_F9to43_E11_palier2p14.csv
new file mode 100644
index 0000000..7b67ae7
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_D8_E11_palier2p14.json b/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_D8_E11_palier2p14.json
new file mode 100644
index 0000000..e9b981b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_D8_E11_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    14751
+  ],
+  "covered": [
+    6559,
+    14751
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_F9to43_E11_palier2p14.json b/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_F9to43_E11_palier2p14.json
new file mode 100644
index 0000000..6d54d26
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E11_palier2p14/metadata.json b/docs/artefacts/collatz/local_E11_palier2p14/metadata.json
new file mode 100644
index 0000000..9ad34b7
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_E11_B12.json b/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_E11_B12.json
new file mode 100644
index 0000000..c173bdd
--- /dev/null
+++ b/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_E11_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    415,
+    1439,
+    2463,
+    3487
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_Lift_E11_palier2p14.json b/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_Lift_E11_palier2p14.json
new file mode 100644
index 0000000..2fbb922
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_post_D8_E11_palier2p14.json b/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_post_D8_E11_palier2p14.json
new file mode 100644
index 0000000..44792d4
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E12_palier2p14/audits/verification_H6_E12_palier2p14.md b/docs/artefacts/collatz/local_E12_palier2p14/audits/verification_H6_E12_palier2p14.md
new file mode 100644
index 0000000..99db1a0
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E12_palier2p14/candidats/candidats_D8_E12_palier2p14.csv b/docs/artefacts/collatz/local_E12_palier2p14/candidats/candidats_D8_E12_palier2p14.csv
new file mode 100644
index 0000000..f7389c6
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E12_palier2p14/candidats/candidats_F9to50_E12_palier2p14.csv b/docs/artefacts/collatz/local_E12_palier2p14/candidats/candidats_F9to50_E12_palier2p14.csv
new file mode 100644
index 0000000..cb75b90
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_D8_E12_palier2p14.json b/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_D8_E12_palier2p14.json
new file mode 100644
index 0000000..9793468
--- /dev/null
+++ b/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_D8_E12_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    10271
+  ],
+  "covered": [
+    2079,
+    10271
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_F9to50_E12_palier2p14.json b/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_F9to50_E12_palier2p14.json
new file mode 100644
index 0000000..7b84b60
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E12_palier2p14/metadata.json b/docs/artefacts/collatz/local_E12_palier2p14/metadata.json
new file mode 100644
index 0000000..a2e78c7
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_E12_B12.json b/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_E12_B12.json
new file mode 100644
index 0000000..1a462ed
--- /dev/null
+++ b/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_E12_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    31,
+    1055,
+    2079,
+    3103
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_Lift_E12_palier2p14.json b/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_Lift_E12_palier2p14.json
new file mode 100644
index 0000000..7feb7fe
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_post_D8_E12_palier2p14.json b/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_post_D8_E12_palier2p14.json
new file mode 100644
index 0000000..8573244
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E13_palier2p14/audits/verification_H6_E13_palier2p14.md b/docs/artefacts/collatz/local_E13_palier2p14/audits/verification_H6_E13_palier2p14.md
new file mode 100644
index 0000000..0a9e1a0
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E13_palier2p14/candidats/candidats_D8_E13_palier2p14.csv b/docs/artefacts/collatz/local_E13_palier2p14/candidats/candidats_D8_E13_palier2p14.csv
new file mode 100644
index 0000000..d89e07f
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E13_palier2p14/candidats/candidats_F9to24_E13_palier2p14.csv b/docs/artefacts/collatz/local_E13_palier2p14/candidats/candidats_F9to24_E13_palier2p14.csv
new file mode 100644
index 0000000..41e1323
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_D8_E13_palier2p14.json b/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_D8_E13_palier2p14.json
new file mode 100644
index 0000000..41377b5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_D8_E13_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    3551
+  ],
+  "covered": [
+    3551,
+    11743
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_F9to24_E13_palier2p14.json b/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_F9to24_E13_palier2p14.json
new file mode 100644
index 0000000..82c70c0
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E13_palier2p14/metadata.json b/docs/artefacts/collatz/local_E13_palier2p14/metadata.json
new file mode 100644
index 0000000..1146dde
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_E13_B12.json b/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_E13_B12.json
new file mode 100644
index 0000000..41a29ea
--- /dev/null
+++ b/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_E13_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    479,
+    1503,
+    2527,
+    3551
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_Lift_E13_palier2p14.json b/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_Lift_E13_palier2p14.json
new file mode 100644
index 0000000..50827c7
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_post_D8_E13_palier2p14.json b/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_post_D8_E13_palier2p14.json
new file mode 100644
index 0000000..89f5cd1
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E14_palier2p14/audits/verification_H6_E14_palier2p14.md b/docs/artefacts/collatz/local_E14_palier2p14/audits/verification_H6_E14_palier2p14.md
new file mode 100644
index 0000000..b0bc1d2
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E14_palier2p14/candidats/candidats_D8_E14_palier2p14.csv b/docs/artefacts/collatz/local_E14_palier2p14/candidats/candidats_D8_E14_palier2p14.csv
new file mode 100644
index 0000000..24899ff
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E14_palier2p14/candidats/candidats_F9to41_E14_palier2p14.csv b/docs/artefacts/collatz/local_E14_palier2p14/candidats/candidats_F9to41_E14_palier2p14.csv
new file mode 100644
index 0000000..45e64a9
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_D8_E14_palier2p14.json b/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_D8_E14_palier2p14.json
new file mode 100644
index 0000000..9a87861
--- /dev/null
+++ b/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_D8_E14_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    13807
+  ],
+  "covered": [
+    5615,
+    13807
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_F9to41_E14_palier2p14.json b/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_F9to41_E14_palier2p14.json
new file mode 100644
index 0000000..72c3b60
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E14_palier2p14/metadata.json b/docs/artefacts/collatz/local_E14_palier2p14/metadata.json
new file mode 100644
index 0000000..e61571d
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_E14_B12.json b/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_E14_B12.json
new file mode 100644
index 0000000..250bb2d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_E14_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    495,
+    1519,
+    2543,
+    3567
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_Lift_E14_palier2p14.json b/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_Lift_E14_palier2p14.json
new file mode 100644
index 0000000..266892a
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_post_D8_E14_palier2p14.json b/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_post_D8_E14_palier2p14.json
new file mode 100644
index 0000000..d8f428d
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E15_palier2p14/audits/verification_H6_E15_palier2p14.md b/docs/artefacts/collatz/local_E15_palier2p14/audits/verification_H6_E15_palier2p14.md
new file mode 100644
index 0000000..bd5d34b
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E15_palier2p14/candidats/candidats_D8_E15_palier2p14.csv b/docs/artefacts/collatz/local_E15_palier2p14/candidats/candidats_D8_E15_palier2p14.csv
new file mode 100644
index 0000000..303beee
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E15_palier2p14/candidats/candidats_F9to47_E15_palier2p14.csv b/docs/artefacts/collatz/local_E15_palier2p14/candidats/candidats_F9to47_E15_palier2p14.csv
new file mode 100644
index 0000000..fe75a0b
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_D8_E15_palier2p14.json b/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_D8_E15_palier2p14.json
new file mode 100644
index 0000000..65d3f4a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_D8_E15_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    9327
+  ],
+  "covered": [
+    1135,
+    9327
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_F9to47_E15_palier2p14.json b/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_F9to47_E15_palier2p14.json
new file mode 100644
index 0000000..cef2a54
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E15_palier2p14/metadata.json b/docs/artefacts/collatz/local_E15_palier2p14/metadata.json
new file mode 100644
index 0000000..fd1aeee
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_E15_B12.json b/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_E15_B12.json
new file mode 100644
index 0000000..d80bb72
--- /dev/null
+++ b/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_E15_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    111,
+    1135,
+    2159,
+    3183
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_Lift_E15_palier2p14.json b/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_Lift_E15_palier2p14.json
new file mode 100644
index 0000000..5e3e7ba
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_post_D8_E15_palier2p14.json b/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_post_D8_E15_palier2p14.json
new file mode 100644
index 0000000..5c441af
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E16_palier2p14/audits/verification_H6_E16_palier2p14.md b/docs/artefacts/collatz/local_E16_palier2p14/audits/verification_H6_E16_palier2p14.md
new file mode 100644
index 0000000..788ba65
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_D8_E16_palier2p14.csv b/docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_D8_E16_palier2p14.csv
new file mode 100644
index 0000000..03074ac
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_F9to49_E16_palier2p14.csv b/docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_F9to49_E16_palier2p14.csv
new file mode 100644
index 0000000..8056e14
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_D8_E16_palier2p14.json b/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_D8_E16_palier2p14.json
new file mode 100644
index 0000000..bc7d445
--- /dev/null
+++ b/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_D8_E16_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    2607
+  ],
+  "covered": [
+    2607,
+    10799
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_F9to49_E16_palier2p14.json b/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_F9to49_E16_palier2p14.json
new file mode 100644
index 0000000..cc9a58e
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E16_palier2p14/metadata.json b/docs/artefacts/collatz/local_E16_palier2p14/metadata.json
new file mode 100644
index 0000000..7211269
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_E16_B12.json b/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_E16_B12.json
new file mode 100644
index 0000000..1a6ef62
--- /dev/null
+++ b/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_E16_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    559,
+    1583,
+    2607,
+    3631
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_Lift_E16_palier2p14.json b/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_Lift_E16_palier2p14.json
new file mode 100644
index 0000000..63a200b
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_post_D8_E16_palier2p14.json b/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_post_D8_E16_palier2p14.json
new file mode 100644
index 0000000..9a2e631
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E17_palier2p14/audits/verification_H6_E17_palier2p14.md b/docs/artefacts/collatz/local_E17_palier2p14/audits/verification_H6_E17_palier2p14.md
new file mode 100644
index 0000000..3783a42
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E17_palier2p14/candidats/candidats_D8_E17_palier2p14.csv b/docs/artefacts/collatz/local_E17_palier2p14/candidats/candidats_D8_E17_palier2p14.csv
new file mode 100644
index 0000000..4d30163
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E17_palier2p14/candidats/candidats_F9to26_E17_palier2p14.csv b/docs/artefacts/collatz/local_E17_palier2p14/candidats/candidats_F9to26_E17_palier2p14.csv
new file mode 100644
index 0000000..935c1c8
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_D8_E17_palier2p14.json b/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_D8_E17_palier2p14.json
new file mode 100644
index 0000000..c21fd0f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_D8_E17_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    12391
+  ],
+  "covered": [
+    4199,
+    12391
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_F9to26_E17_palier2p14.json b/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_F9to26_E17_palier2p14.json
new file mode 100644
index 0000000..1ace6ea
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E17_palier2p14/metadata.json b/docs/artefacts/collatz/local_E17_palier2p14/metadata.json
new file mode 100644
index 0000000..97e38b3
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_E17_B12.json b/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_E17_B12.json
new file mode 100644
index 0000000..98a9810
--- /dev/null
+++ b/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_E17_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    103,
+    1127,
+    2151,
+    3175
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_Lift_E17_palier2p14.json b/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_Lift_E17_palier2p14.json
new file mode 100644
index 0000000..752d0f0
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_post_D8_E17_palier2p14.json b/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_post_D8_E17_palier2p14.json
new file mode 100644
index 0000000..9a16dac
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E18_palier2p14/audits/verification_H6_E18_palier2p14.md b/docs/artefacts/collatz/local_E18_palier2p14/audits/verification_H6_E18_palier2p14.md
new file mode 100644
index 0000000..5ba5c42
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E18_palier2p14/candidats/candidats_D8_E18_palier2p14.csv b/docs/artefacts/collatz/local_E18_palier2p14/candidats/candidats_D8_E18_palier2p14.csv
new file mode 100644
index 0000000..9e8bc7e
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E18_palier2p14/candidats/candidats_F9to36_E18_palier2p14.csv b/docs/artefacts/collatz/local_E18_palier2p14/candidats/candidats_F9to36_E18_palier2p14.csv
new file mode 100644
index 0000000..36eec70
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_D8_E18_palier2p14.json b/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_D8_E18_palier2p14.json
new file mode 100644
index 0000000..946cb58
--- /dev/null
+++ b/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_D8_E18_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    7911
+  ],
+  "covered": [
+    7911,
+    16103
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_F9to36_E18_palier2p14.json b/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_F9to36_E18_palier2p14.json
new file mode 100644
index 0000000..c8a23df
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E18_palier2p14/metadata.json b/docs/artefacts/collatz/local_E18_palier2p14/metadata.json
new file mode 100644
index 0000000..2e5ae25
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_E18_B12.json b/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_E18_B12.json
new file mode 100644
index 0000000..00df6ba
--- /dev/null
+++ b/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_E18_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    743,
+    1767,
+    2791,
+    3815
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_Lift_E18_palier2p14.json b/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_Lift_E18_palier2p14.json
new file mode 100644
index 0000000..6f46e0e
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_post_D8_E18_palier2p14.json b/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_post_D8_E18_palier2p14.json
new file mode 100644
index 0000000..6cb6152
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E19_palier2p14/audits/verification_H6_E19_palier2p14.md b/docs/artefacts/collatz/local_E19_palier2p14/audits/verification_H6_E19_palier2p14.md
new file mode 100644
index 0000000..99345a1
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E19_palier2p14/candidats/candidats_D8_E19_palier2p14.csv b/docs/artefacts/collatz/local_E19_palier2p14/candidats/candidats_D8_E19_palier2p14.csv
new file mode 100644
index 0000000..ab0db13
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E19_palier2p14/candidats/candidats_F9to35_E19_palier2p14.csv b/docs/artefacts/collatz/local_E19_palier2p14/candidats/candidats_F9to35_E19_palier2p14.csv
new file mode 100644
index 0000000..112ca6a
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_D8_E19_palier2p14.json b/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_D8_E19_palier2p14.json
new file mode 100644
index 0000000..68ed635
--- /dev/null
+++ b/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_D8_E19_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    1191
+  ],
+  "covered": [
+    1191,
+    9383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_F9to35_E19_palier2p14.json b/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_F9to35_E19_palier2p14.json
new file mode 100644
index 0000000..a4dc849
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E19_palier2p14/metadata.json b/docs/artefacts/collatz/local_E19_palier2p14/metadata.json
new file mode 100644
index 0000000..67b1ce3
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_E19_B12.json b/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_E19_B12.json
new file mode 100644
index 0000000..5c36578
--- /dev/null
+++ b/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_E19_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    167,
+    1191,
+    2215,
+    3239
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_Lift_E19_palier2p14.json b/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_Lift_E19_palier2p14.json
new file mode 100644
index 0000000..3dbde3f
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_post_D8_E19_palier2p14.json b/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_post_D8_E19_palier2p14.json
new file mode 100644
index 0000000..0cdb951
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E1_palier2p14/audits/verification_H6_E1_palier2p14.md b/docs/artefacts/collatz/local_E1_palier2p14/audits/verification_H6_E1_palier2p14.md
new file mode 100644
index 0000000..41508a0
--- /dev/null
+++ b/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
+
diff --git a/docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_D8_E1_palier2p14.csv b/docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_D8_E1_palier2p14.csv
new file mode 100644
index 0000000..1cebed7
--- /dev/null
+++ b/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
diff --git a/docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_F9to43_E1_palier2p14.csv b/docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_F9to43_E1_palier2p14.csv
new file mode 100644
index 0000000..7663671
--- /dev/null
+++ b/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
+9,2303,14,9,1,18,1 1 1 1 1 1 1 4 7,20963,173,2,747066,1,115,1,2303
+9,2815,14,9,1,14,1 1 1 1 1 1 1 2 5,19427,3383,2,9786,3,2255,1,2815
+9,5631,14,9,1,15,1 1 1 1 1 1 1 1 7,19171,3383,2,58938,1,2255,1,1535
+9,12543,14,9,1,15,1 1 1 1 1 1 1 5 3,23011,7535,2,58938,1,5023,1,255
+9,13567,14,9,2,16,1 1 1 1 1 1 1 3 6,19939,4075,1,117876,1,5433,1,1279
+10,767,14,10,1,18,1 1 1 1 1 1 1 2 2 7,60329,173,2,668334,1,115,1,767
+10,1535,14,10,1,19,1 1 1 1 1 1 1 1 4 7,61609,173,2,1454766,1,115,1,1535
+10,5375,14,10,1,18,1 1 1 1 1 1 1 3 3 5,68009,1211,2,668334,1,807,1,1279
+11,511,14,11,1,19,1 1 1 1 1 1 1 1 2 2 7,179707,173,2,1218570,1,115,1,511
+11,1023,14,11,1,20,1 1 1 1 1 1 1 1 1 4 7,182267,173,2,2791434,1,115,1,1023
+11,1791,14,11,1,18,1 1 1 1 1 1 1 2 1 3 5,186107,1211,2,432138,1,807,1,1791
+11,3327,14,11,1,18,1 1 1 1 1 1 1 3 1 2 5,193787,2249,2,432138,1,1499,1,3327
+11,3583,14,11,1,19,1 1 1 1 1 1 1 1 3 3 5,195067,1211,2,1218570,1,807,1,3583
+11,6399,14,11,1,18,1 1 1 1 1 1 1 4 1 1 5,209147,4325,2,432138,1,2883,1,2303
+11,9471,14,11,1,18,1 1 1 1 1 1 1 3 2 3 3,224507,6401,2,432138,1,4267,1,1279
+11,10495,14,11,2,18,1 1 1 1 1 1 1 4 2 1 4,229627,7093,1,77844,9,9457,1,2303
+11,11007,14,11,1,18,1 1 1 1 1 1 1 2 4 2 3,232187,7439,2,432138,1,4959,1,2815
+11,12799,14,11,1,19,1 1 1 1 1 1 1 1 2 6 3,241147,4325,2,1218570,1,2883,1,511
+11,15103,14,11,2,18,1 1 1 1 1 1 1 2 3 4 2,252667,10207,1,77844,10,13609,1,2815
+12,4351,14,12,1,21,1 1 1 1 1 1 1 5 1 2 1 5,858865,1103,2,5228574,1,735,1,255
+13,15615,14,13,1,26,1 1 1 1 1 1 1 3 1 1 4 1 9,2034899,371,2,198137946,1,247,1,3327
+14,1279,14,14,1,24,1 1 1 1 1 1 1 3 2 1 1 2 3 5,6266489,365,2,40765710,1,243,1,1279
+15,5887,14,15,1,26,1 1 1 1 1 1 1 2 1 2 1 3 1 4 5,18044267,1259,2,172628778,1,839,1,1791
+15,11775,14,15,1,27,1 1 1 1 1 1 1 1 3 2 1 3 1 4 5,21739627,1259,2,373955370,1,839,1,3583
+16,9983,14,16,1,25,1 1 1 1 1 1 1 2 1 4 1 1 1 4 1 3,63303745,12809,2,14569854,7,8539,1,1791
+16,12031,14,16,2,27,1 1 1 1 1 1 1 2 1 1 2 2 1 4 1 6,51112001,3859,1,230466300,1,5145,1,3839
+16,13055,14,16,1,26,1 1 1 1 1 1 1 2 2 1 1 2 1 5 2 3,61793345,8375,2,115233150,1,5583,1,767
+16,14079,14,16,2,29,1 1 1 1 1 1 1 2 1 2 4 1 2 2 2 6,72474689,1129,1,1438425852,1,1505,1,1791
+17,8703,14,17,1,27,1 1 1 1 1 1 1 1 2 2 1 1 2 1 5 2 3,166633411,8375,2,144372858,2,5583,1,511
+17,13311,14,17,1,27,1 1 1 1 1 1 1 1 1 3 4 1 1 1 4 1 3,210168259,12809,2,144372858,2,8539,1,1023
+19,14591,14,19,2,32,1 1 1 1 1 1 1 4 1 2 1 1 1 2 1 4 2 2 4,2268786907,3949,1,8235856020,1,5265,1,2303
+19,16127,14,19,1,31,1 1 1 1 1 1 1 2 1 1 1 3 2 2 3 1 1 2 5,1594085083,8729,2,4117928010,1,5819,1,3839
+20,9727,14,20,2,33,1 1 1 1 1 1 1 1 4 1 2 1 1 1 2 1 4 2 2 4,5699835281,3949,1,11822666172,2,5265,1,1535
+20,10751,14,20,1,32,1 1 1 1 1 1 1 1 2 1 1 1 3 2 2 3 1 1 2 5,4350431633,8729,2,5911333086,1,5819,1,2559
+20,15359,14,20,2,33,1 1 1 1 1 1 1 1 1 2 1 3 2 1 3 1 1 2 4 4,4720566161,6235,1,11822666172,1,8313,1,3071
+21,4863,14,21,1,35,1 1 1 1 1 1 1 2 2 1 2 1 1 1 2 1 4 2 2 4 3,18074896819,1481,2,82158508698,1,987,1,767
+21,7167,14,21,1,33,1 1 1 1 1 1 1 1 1 2 1 1 1 3 2 2 3 1 1 2 5,12187647667,8729,2,4849097370,4,5819,1,3071
+21,10239,14,21,2,34,1 1 1 1 1 1 1 1 1 1 2 1 3 2 1 3 1 1 2 4 4,12927916723,6235,1,9698194740,4,8313,1,2047
+21,14335,14,21,1,34,1 1 1 1 1 1 1 1 1 1 3 1 1 3 2 2 3 1 1 2 5,13914942131,8729,2,30618901146,1,5819,1,2047
+22,6655,14,22,1,41,1 1 1 1 1 1 1 1 2 1 4 1 1 1 4 1 3 2 1 1 2 9,66257579545,95,2,6534307647438,1,63,1,2559
+22,11519,14,22,1,36,1 1 1 1 1 1 1 3 1 3 1 1 1 2 2 1 1 2 1 1 6 3,54741472025,5261,2,143396310990,1,3507,1,3327
+23,3839,14,23,1,36,1 1 1 1 1 1 1 2 1 1 3 1 1 1 2 2 1 1 2 1 1 6 3,117503591243,5261,2,17872072554,10,3507,1,3839
+23,7423,14,23,1,38,1 1 1 1 1 1 1 3 1 1 1 3 1 2 2 3 2 1 1 1 3 1 5,189700925771,2543,2,636347363178,1,1695,1,3327
+23,7679,14,23,1,37,1 1 1 1 1 1 1 1 3 1 3 1 1 1 2 2 1 1 2 1 1 6 3,140864003659,5261,2,224030502762,1,3507,1,3583
+23,14847,14,23,2,37,1 1 1 1 1 1 1 1 2 1 2 1 1 3 1 1 1 1 1 6 2 4 2,147819719243,10171,1,35744145108,13,13561,1,2559
+24,5119,14,24,1,38,1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 2 2 1 1 2 1 1 6 3,375871186145,5261,2,259774647870,2,3507,1,1023
+25,2559,14,25,1,40,1 1 1 1 1 1 1 1 2 1 1 3 1 1 1 2 2 1 1 2 1 1 6 3 3,1124890037411,1973,2,1603957664442,1,1315,1,2559
+25,7935,14,25,1,42,1 1 1 1 1 1 1 2 1 1 1 1 1 3 1 2 1 5 1 1 3 2 2 2 5,1377999547811,1529,2,11499562314426,1,1019,1,3839
+25,15871,14,25,1,43,1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 2 1 5 1 1 3 2 2 2 5,1908710486179,1529,2,24693701847738,1,1019,1,3583
+26,12287,14,26,1,43,1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 3 1 4 1 2 1 5 5,3020889182185,3551,2,21304547409966,1,2367,1,4095
+27,8191,14,27,1,44,1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 3 1 4 1 2 1 5 5,8583644192699,3551,2,37525363163274,1,2367,1,4095
+27,16383,14,27,1,45,1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 2 1 3 1 4 1 2 1 5 5,9541690900411,3551,2,90301921296522,1,2367,1,4095
+29,6911,14,29,1,47,1 1 1 1 1 1 1 2 3 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5,121535277104275,3371,2,284951710336218,1,2247,1,2815
+29,13823,14,29,1,48,1 1 1 1 1 1 1 1 5 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5,174440176843667,3371,2,707164175402202,1,2247,1,1535
+30,4607,14,30,1,48,1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5,311700931573433,3371,2,432642665942670,1,2247,1,511
+30,9215,14,30,1,49,1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5,417510731052217,3371,2,1277067596074638,1,2247,1,1023
+30,11263,14,30,1,52,1 1 1 1 1 1 1 1 1 2 2 2 1 2 1 1 1 3 1 1 1 5 3 1 1 1 4 1 2 7,401987313773753,515,2,13099016617922190,1,343,1,3071
+31,3071,14,31,1,49,1 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5,829292995241515,3371,2,453503067696042,3,2247,1,3071
+31,6143,14,31,1,50,1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5,1040912594199083,3371,2,2142352927959978,1,2247,1,2047
+32,4095,14,32,1,51,1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5,2699498584682113,3371,2,3049359063352062,2,2247,1,4095
+36,2047,14,36,1,58,1 1 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5 1 2 2 3,298092900919230161,1067,2,564501857861136990,1,711,1,2047
+43,8959,14,43,1,72,1 1 1 1 1 1 1 2 2 2 2 1 1 3 1 1 2 1 2 2 1 3 1 1 1 1 3 1 4 1 1 2 2 1 2 2 1 2 2 1 1 2 7,1180147940131289672315,623,2,13510585513819861485834,1,415,1,767
diff --git a/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_D8_E1_palier2p14.json b/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_D8_E1_palier2p14.json
new file mode 100644
index 0000000..a697ed2
--- /dev/null
+++ b/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_D8_E1_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    255
+  ],
+  "covered": [
+    255,
+    8447
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_F9to43_E1_palier2p14.json b/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_F9to43_E1_palier2p14.json
new file mode 100644
index 0000000..ba48b35
--- /dev/null
+++ b/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_F9to43_E1_palier2p14.json
@@ -0,0 +1,131 @@
+{
+  "clauses": [
+    511,
+    767,
+    1023,
+    1279,
+    1535,
+    1791,
+    2047,
+    2303,
+    2559,
+    2815,
+    3071,
+    3327,
+    3583,
+    3839,
+    4095,
+    4351,
+    4607,
+    4863,
+    5119,
+    5375,
+    5631,
+    5887,
+    6143,
+    6399,
+    6655,
+    6911,
+    7167,
+    7423,
+    7679,
+    7935,
+    8191,
+    8703,
+    8959,
+    9215,
+    9471,
+    9727,
+    9983,
+    10239,
+    10495,
+    10751,
+    11007,
+    11263,
+    11519,
+    11775,
+    12031,
+    12287,
+    12543,
+    12799,
+    13055,
+    13311,
+    13567,
+    13823,
+    14079,
+    14335,
+    14591,
+    14847,
+    15103,
+    15359,
+    15615,
+    15871,
+    16127,
+    16383
+  ],
+  "covered": [
+    511,
+    767,
+    1023,
+    1279,
+    1535,
+    1791,
+    2047,
+    2303,
+    2559,
+    2815,
+    3071,
+    3327,
+    3583,
+    3839,
+    4095,
+    4351,
+    4607,
+    4863,
+    5119,
+    5375,
+    5631,
+    5887,
+    6143,
+    6399,
+    6655,
+    6911,
+    7167,
+    7423,
+    7679,
+    7935,
+    8191,
+    8703,
+    8959,
+    9215,
+    9471,
+    9727,
+    9983,
+    10239,
+    10495,
+    10751,
+    11007,
+    11263,
+    11519,
+    11775,
+    12031,
+    12287,
+    12543,
+    12799,
+    13055,
+    13311,
+    13567,
+    13823,
+    14079,
+    14335,
+    14591,
+    14847,
+    15103,
+    15359,
+    15615,
+    15871,
+    16127,
+    16383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E1_palier2p14/metadata.json b/docs/artefacts/collatz/local_E1_palier2p14/metadata.json
new file mode 100644
index 0000000..fe32170
--- /dev/null
+++ b/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
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_E1_B12.json b/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_E1_B12.json
new file mode 100644
index 0000000..69f48d1
--- /dev/null
+++ b/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_E1_B12.json
@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    255,
+    511,
+    767,
+    1023,
+    1279,
+    1535,
+    1791,
+    2047,
+    2303,
+    2559,
+    2815,
+    3071,
+    3327,
+    3583,
+    3839,
+    4095
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_Lift_E1_palier2p14.json b/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_Lift_E1_palier2p14.json
new file mode 100644
index 0000000..0b8886a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_Lift_E1_palier2p14.json
@@ -0,0 +1,69 @@
+{
+  "noyau": [
+    255,
+    511,
+    767,
+    1023,
+    1279,
+    1535,
+    1791,
+    2047,
+    2303,
+    2559,
+    2815,
+    3071,
+    3327,
+    3583,
+    3839,
+    4095,
+    4351,
+    4607,
+    4863,
+    5119,
+    5375,
+    5631,
+    5887,
+    6143,
+    6399,
+    6655,
+    6911,
+    7167,
+    7423,
+    7679,
+    7935,
+    8191,
+    8447,
+    8703,
+    8959,
+    9215,
+    9471,
+    9727,
+    9983,
+    10239,
+    10495,
+    10751,
+    11007,
+    11263,
+    11519,
+    11775,
+    12031,
+    12287,
+    12543,
+    12799,
+    13055,
+    13311,
+    13567,
+    13823,
+    14079,
+    14335,
+    14591,
+    14847,
+    15103,
+    15359,
+    15615,
+    15871,
+    16127,
+    16383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_post_D8_E1_palier2p14.json b/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_post_D8_E1_palier2p14.json
new file mode 100644
index 0000000..bce3ab9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_post_D8_E1_palier2p14.json
@@ -0,0 +1,67 @@
+{
+  "noyau": [
+    511,
+    767,
+    1023,
+    1279,
+    1535,
+    1791,
+    2047,
+    2303,
+    2559,
+    2815,
+    3071,
+    3327,
+    3583,
+    3839,
+    4095,
+    4351,
+    4607,
+    4863,
+    5119,
+    5375,
+    5631,
+    5887,
+    6143,
+    6399,
+    6655,
+    6911,
+    7167,
+    7423,
+    7679,
+    7935,
+    8191,
+    8703,
+    8959,
+    9215,
+    9471,
+    9727,
+    9983,
+    10239,
+    10495,
+    10751,
+    11007,
+    11263,
+    11519,
+    11775,
+    12031,
+    12287,
+    12543,
+    12799,
+    13055,
+    13311,
+    13567,
+    13823,
+    14079,
+    14335,
+    14591,
+    14847,
+    15103,
+    15359,
+    15615,
+    15871,
+    16127,
+    16383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E20_palier2p14/audits/verification_H6_E20_palier2p14.md b/docs/artefacts/collatz/local_E20_palier2p14/audits/verification_H6_E20_palier2p14.md
new file mode 100644
index 0000000..b4a8cf6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E20_palier2p14/audits/verification_H6_E20_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E20) — 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_E20_palier2p14/noyaux/noyau_E20_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_Lift_E20_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_D8_E20_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_F9to31_E20_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E20_palier2p14/candidats/candidats_D8_E20_palier2p14.csv b/docs/artefacts/collatz/local_E20_palier2p14/candidats/candidats_D8_E20_palier2p14.csv
new file mode 100644
index 0000000..57ef30d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E20_palier2p14/candidats/candidats_D8_E20_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+15687,7495,13,14
diff --git a/docs/artefacts/collatz/local_E20_palier2p14/candidats/candidats_F9to31_E20_palier2p14.csv b/docs/artefacts/collatz/local_E20_palier2p14/candidats/candidats_F9to31_E20_palier2p14.csv
new file mode 100644
index 0000000..e3a4c36
--- /dev/null
+++ b/docs/artefacts/collatz/local_E20_palier2p14/candidats/candidats_F9to31_E20_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
+9,1351,14,9,1,14,1 1 2 2 1 1 1 2 3,32267,1625,2,9786,5,1083,20,1351
+10,9543,14,10,2,19,1 1 2 2 1 1 1 2 2 6,104993,1075,1,1336668,1,1433,20,1351
+10,12615,14,10,1,19,1 1 2 2 1 1 1 1 4 5,110113,1421,2,1454766,1,947,20,327
+11,8519,14,11,1,19,1 1 2 2 1 1 1 1 2 2 5,309859,2879,2,1218570,1,1919,20,327
+11,10567,14,11,2,19,1 1 2 2 1 1 1 1 1 4 4,320099,3571,1,864276,1,4761,20,2375
+11,13639,14,11,2,19,1 1 2 2 1 1 1 2 1 3 4,335459,4609,1,864276,1,6145,20,1351
+13,327,14,13,1,22,1 1 2 2 1 1 1 1 2 1 2 2 5,2944379,125,2,9394266,1,83,20,327
+13,4423,14,13,2,23,1 1 2 2 1 1 1 1 3 1 1 2 6,3128699,841,1,18788532,1,1121,20,327
+16,14663,14,16,1,26,1 1 2 2 1 1 1 1 1 1 2 3 1 4 1 3,99013625,9407,2,115233150,2,6271,20,2375
+17,5447,14,17,1,27,1 1 2 2 1 1 1 2 1 1 1 2 2 1 3 2 3,277080043,5243,2,144372858,3,3495,20,1351
+18,2375,14,18,1,28,1 1 2 2 1 1 1 1 1 2 1 2 2 1 1 3 4 1,878388161,3431,2,30465390,49,2287,20,2375
+18,11591,14,18,1,28,1 1 2 2 1 1 1 3 2 1 1 2 1 1 1 3 1 3,1139597249,16733,2,30465390,67,11155,20,3399
+30,3399,14,30,1,48,1 1 2 2 1 1 1 3 1 1 2 2 1 1 1 2 1 1 1 2 2 1 3 2 3 1 2 1 2 3,767259043110833,2489,2,432642665942670,3,1659,20,3399
+31,6471,14,31,1,50,1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 3 1 4 1 2 1 5 5,1106021844736787,3551,2,2142352927959978,1,2367,20,2375
diff --git a/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_D8_E20_palier2p14.json b/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_D8_E20_palier2p14.json
new file mode 100644
index 0000000..5b73318
--- /dev/null
+++ b/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_D8_E20_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    15687
+  ],
+  "covered": [
+    7495,
+    15687
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_F9to31_E20_palier2p14.json b/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_F9to31_E20_palier2p14.json
new file mode 100644
index 0000000..1700a92
--- /dev/null
+++ b/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_F9to31_E20_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    327,
+    1351,
+    2375,
+    3399,
+    4423,
+    5447,
+    6471,
+    8519,
+    9543,
+    10567,
+    11591,
+    12615,
+    13639,
+    14663
+  ],
+  "covered": [
+    327,
+    1351,
+    2375,
+    3399,
+    4423,
+    5447,
+    6471,
+    8519,
+    9543,
+    10567,
+    11591,
+    12615,
+    13639,
+    14663
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E20_palier2p14/metadata.json b/docs/artefacts/collatz/local_E20_palier2p14/metadata.json
new file mode 100644
index 0000000..83d4748
--- /dev/null
+++ b/docs/artefacts/collatz/local_E20_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 20,
+  "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_E20_palier2p14/certificats/certificat_D8_E20_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 31,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/candidats/candidats_F9to31_E20_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_F9to31_E20_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/audits/verification_H6_E20_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_E20_B12.json b/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_E20_B12.json
new file mode 100644
index 0000000..cf3da53
--- /dev/null
+++ b/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_E20_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    327,
+    1351,
+    2375,
+    3399
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_Lift_E20_palier2p14.json b/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_Lift_E20_palier2p14.json
new file mode 100644
index 0000000..7da06f8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_Lift_E20_palier2p14.json
@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    327,
+    1351,
+    2375,
+    3399,
+    4423,
+    5447,
+    6471,
+    7495,
+    8519,
+    9543,
+    10567,
+    11591,
+    12615,
+    13639,
+    14663,
+    15687
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_post_D8_E20_palier2p14.json b/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_post_D8_E20_palier2p14.json
new file mode 100644
index 0000000..43c7087
--- /dev/null
+++ b/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_post_D8_E20_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    327,
+    1351,
+    2375,
+    3399,
+    4423,
+    5447,
+    6471,
+    8519,
+    9543,
+    10567,
+    11591,
+    12615,
+    13639,
+    14663
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E21_palier2p14/audits/verification_H6_E21_palier2p14.md b/docs/artefacts/collatz/local_E21_palier2p14/audits/verification_H6_E21_palier2p14.md
new file mode 100644
index 0000000..90f69f2
--- /dev/null
+++ b/docs/artefacts/collatz/local_E21_palier2p14/audits/verification_H6_E21_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E21) — 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_E21_palier2p14/noyaux/noyau_E21_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_Lift_E21_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_D8_E21_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_F9to45_E21_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E21_palier2p14/candidats/candidats_D8_E21_palier2p14.csv b/docs/artefacts/collatz/local_E21_palier2p14/candidats/candidats_D8_E21_palier2p14.csv
new file mode 100644
index 0000000..3174fc0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E21_palier2p14/candidats/candidats_D8_E21_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+2075,10267,13,14
diff --git a/docs/artefacts/collatz/local_E21_palier2p14/candidats/candidats_F9to45_E21_palier2p14.csv b/docs/artefacts/collatz/local_E21_palier2p14/candidats/candidats_F9to45_E21_palier2p14.csv
new file mode 100644
index 0000000..aecb5b5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E21_palier2p14/candidats/candidats_F9to45_E21_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
+9,4123,14,9,1,14,1 2 1 1 1 1 2 2 3,29711,4955,2,9786,5,3303,21,27
+10,13339,14,10,1,18,1 2 1 1 1 1 2 1 1 7,88109,3005,2,668334,1,2003,21,1051
+11,14363,14,11,1,17,1 2 1 1 1 1 2 3 2 2 1,400519,19415,2,38922,18,12943,21,2075
+12,1051,14,12,1,19,1 2 1 1 1 1 2 1 1 1 4 3,870805,1067,2,509982,3,711,21,1051
+12,3099,14,12,1,19,1 2 1 1 1 1 2 1 2 1 3 3,901525,3143,2,509982,3,2095,21,3099
+12,7195,14,12,1,19,1 2 1 1 1 1 2 1 3 1 2 3,962965,7295,2,509982,3,4863,21,3099
+12,12315,14,12,1,19,1 2 1 1 1 1 2 2 2 2 1 3,1039765,12485,2,509982,4,8323,21,27
+12,15387,14,12,1,19,1 2 1 1 1 1 2 1 4 1 1 3,1085845,15599,2,509982,4,10399,21,3099
+13,9243,14,13,1,23,1 2 1 1 1 1 2 1 1 1 1 1 9,2456767,1757,2,21977178,1,1171,21,1051
+15,8219,14,15,1,24,1 2 1 1 1 1 2 2 1 1 1 1 3 3 3,26939063,7031,2,21633834,2,4687,21,27
+22,5147,14,22,1,35,1 2 1 1 1 1 2 1 1 2 1 1 3 2 3 1 1 2 1 1 1 5,75535737181,4703,2,40317095886,3,3135,21,1051
+35,6171,14,35,1,55,1 2 1 1 1 1 2 3 1 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 3,130212037650905767,8573,2,8023300858892490,28,5715,21,2075
+37,27,14,37,1,59,1 2 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 3,1100931843921811423,23,2,828814445128275738,2,15,21,27
+45,11291,14,45,1,73,1 2 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 5,11096798291449788597823,3533,2,22425573484116203884890,1,2355,21,3099
diff --git a/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_D8_E21_palier2p14.json b/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_D8_E21_palier2p14.json
new file mode 100644
index 0000000..c84681a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_D8_E21_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    2075
+  ],
+  "covered": [
+    2075,
+    10267
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_F9to45_E21_palier2p14.json b/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_F9to45_E21_palier2p14.json
new file mode 100644
index 0000000..a3944f8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_F9to45_E21_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    27,
+    1051,
+    3099,
+    4123,
+    5147,
+    6171,
+    7195,
+    8219,
+    9243,
+    11291,
+    12315,
+    13339,
+    14363,
+    15387
+  ],
+  "covered": [
+    27,
+    1051,
+    3099,
+    4123,
+    5147,
+    6171,
+    7195,
+    8219,
+    9243,
+    11291,
+    12315,
+    13339,
+    14363,
+    15387
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E21_palier2p14/metadata.json b/docs/artefacts/collatz/local_E21_palier2p14/metadata.json
new file mode 100644
index 0000000..abc51eb
--- /dev/null
+++ b/docs/artefacts/collatz/local_E21_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 21,
+  "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_E21_palier2p14/certificats/certificat_D8_E21_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 45,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/candidats/candidats_F9to45_E21_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_F9to45_E21_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/audits/verification_H6_E21_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_E21_B12.json b/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_E21_B12.json
new file mode 100644
index 0000000..3057fce
--- /dev/null
+++ b/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_E21_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    27,
+    1051,
+    2075,
+    3099
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_Lift_E21_palier2p14.json b/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_Lift_E21_palier2p14.json
new file mode 100644
index 0000000..55bc74c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_Lift_E21_palier2p14.json
@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    27,
+    1051,
+    2075,
+    3099,
+    4123,
+    5147,
+    6171,
+    7195,
+    8219,
+    9243,
+    10267,
+    11291,
+    12315,
+    13339,
+    14363,
+    15387
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_post_D8_E21_palier2p14.json b/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_post_D8_E21_palier2p14.json
new file mode 100644
index 0000000..5bbf7e0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_post_D8_E21_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    27,
+    1051,
+    3099,
+    4123,
+    5147,
+    6171,
+    7195,
+    8219,
+    9243,
+    11291,
+    12315,
+    13339,
+    14363,
+    15387
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E22_palier2p14/audits/verification_H6_E22_palier2p14.md b/docs/artefacts/collatz/local_E22_palier2p14/audits/verification_H6_E22_palier2p14.md
new file mode 100644
index 0000000..2323953
--- /dev/null
+++ b/docs/artefacts/collatz/local_E22_palier2p14/audits/verification_H6_E22_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E22) — 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_E22_palier2p14/noyaux/noyau_E22_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_Lift_E22_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_D8_E22_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_F9to30_E22_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_D8_E22_palier2p14.csv b/docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_D8_E22_palier2p14.csv
new file mode 100644
index 0000000..2f1c393
--- /dev/null
+++ b/docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_D8_E22_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+13979,5787,13,14
diff --git a/docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_F9to30_E22_palier2p14.csv b/docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_F9to30_E22_palier2p14.csv
new file mode 100644
index 0000000..1988f05
--- /dev/null
+++ b/docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_F9to30_E22_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
+9,16027,14,9,2,17,1 2 1 1 1 2 1 2 6,30863,2407,1,314484,1,3209,22,3739
+10,7835,14,10,1,16,1 2 1 1 1 2 1 2 2 3,100781,7061,2,78510,2,4707,22,3739
+11,1691,14,11,1,21,1 2 1 1 1 2 1 3 1 1 7,337159,143,2,5937162,1,95,22,1691
+11,9883,14,11,2,21,1 2 1 1 1 2 1 3 2 1 6,378119,835,1,5582868,1,1113,22,1691
+11,10907,14,11,2,20,1 2 1 1 1 2 1 1 4 2 4,383239,1843,1,2437140,1,2457,22,2715
+15,667,14,15,1,26,1 2 1 1 1 2 1 1 1 2 1 3 1 1 7,25846583,143,2,172628778,1,95,22,667
+15,15003,14,15,1,24,1 2 1 1 1 2 1 1 2 1 1 2 1 2 5,25361207,12833,2,21633834,2,8555,22,2715
+16,4763,14,16,1,25,1 2 1 1 1 2 1 1 1 1 1 1 1 3 6 1,86710693,6113,2,14569854,10,4075,22,667
+16,8859,14,16,1,28,1 2 1 1 1 2 1 1 1 4 1 1 1 1 4 5,95881637,1421,2,719212926,1,947,22,667
+18,6811,14,18,1,28,1 2 1 1 1 2 1 1 2 2 2 1 1 1 2 1 1 5,804888269,9833,2,30465390,45,6555,22,2715
+18,12955,14,18,2,30,1 2 1 1 1 2 1 1 1 1 2 2 1 2 2 1 2 6,710592205,4675,1,1671543516,2,6233,22,667
+20,2715,14,20,1,33,1 2 1 1 1 2 1 1 3 1 1 1 1 1 1 5 1 2 1 5,8078206261,1103,2,18796234974,1,735,22,2715
+24,3739,14,24,2,40,1 2 1 1 1 2 1 2 1 1 1 3 1 1 1 1 1 3 2 1 2 3 1 6,626637390277,961,1,2168816737404,1,1281,22,3739
+30,11931,14,30,1,48,1 2 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 5,507974686059005,8729,2,432642665942670,2,5819,22,3739
diff --git a/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_D8_E22_palier2p14.json b/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_D8_E22_palier2p14.json
new file mode 100644
index 0000000..6e592ee
--- /dev/null
+++ b/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_D8_E22_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    13979
+  ],
+  "covered": [
+    5787,
+    13979
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_F9to30_E22_palier2p14.json b/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_F9to30_E22_palier2p14.json
new file mode 100644
index 0000000..2a18eea
--- /dev/null
+++ b/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_F9to30_E22_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    667,
+    1691,
+    2715,
+    3739,
+    4763,
+    6811,
+    7835,
+    8859,
+    9883,
+    10907,
+    11931,
+    12955,
+    15003,
+    16027
+  ],
+  "covered": [
+    667,
+    1691,
+    2715,
+    3739,
+    4763,
+    6811,
+    7835,
+    8859,
+    9883,
+    10907,
+    11931,
+    12955,
+    15003,
+    16027
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E22_palier2p14/metadata.json b/docs/artefacts/collatz/local_E22_palier2p14/metadata.json
new file mode 100644
index 0000000..cb1ee07
--- /dev/null
+++ b/docs/artefacts/collatz/local_E22_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 22,
+  "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_E22_palier2p14/certificats/certificat_D8_E22_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 30,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_F9to30_E22_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_F9to30_E22_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/audits/verification_H6_E22_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_E22_B12.json b/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_E22_B12.json
new file mode 100644
index 0000000..4e70773
--- /dev/null
+++ b/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_E22_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    667,
+    1691,
+    2715,
+    3739
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_Lift_E22_palier2p14.json b/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_Lift_E22_palier2p14.json
new file mode 100644
index 0000000..4a3e116
--- /dev/null
+++ b/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_Lift_E22_palier2p14.json
@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    667,
+    1691,
+    2715,
+    3739,
+    4763,
+    5787,
+    6811,
+    7835,
+    8859,
+    9883,
+    10907,
+    11931,
+    12955,
+    13979,
+    15003,
+    16027
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_post_D8_E22_palier2p14.json b/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_post_D8_E22_palier2p14.json
new file mode 100644
index 0000000..4ec70f6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_post_D8_E22_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    667,
+    1691,
+    2715,
+    3739,
+    4763,
+    6811,
+    7835,
+    8859,
+    9883,
+    10907,
+    11931,
+    12955,
+    15003,
+    16027
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E23_palier2p14/audits/verification_H6_E23_palier2p14.md b/docs/artefacts/collatz/local_E23_palier2p14/audits/verification_H6_E23_palier2p14.md
new file mode 100644
index 0000000..9b3e7d8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E23_palier2p14/audits/verification_H6_E23_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E23) — 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_E23_palier2p14/noyaux/noyau_E23_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_Lift_E23_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_D8_E23_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_F9to33_E23_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E23_palier2p14/candidats/candidats_D8_E23_palier2p14.csv b/docs/artefacts/collatz/local_E23_palier2p14/candidats/candidats_D8_E23_palier2p14.csv
new file mode 100644
index 0000000..347a2a0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E23_palier2p14/candidats/candidats_D8_E23_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+7259,15451,13,14
diff --git a/docs/artefacts/collatz/local_E23_palier2p14/candidats/candidats_F9to33_E23_palier2p14.csv b/docs/artefacts/collatz/local_E23_palier2p14/candidats/candidats_F9to33_E23_palier2p14.csv
new file mode 100644
index 0000000..9302257
--- /dev/null
+++ b/docs/artefacts/collatz/local_E23_palier2p14/candidats/candidats_F9to33_E23_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
+9,3163,14,9,1,15,1 2 1 1 2 1 1 3 3,34639,1901,2,58938,1,1267,23,3163
+9,4187,14,9,1,17,1 2 1 1 2 1 1 1 7,31567,629,2,353850,1,419,23,91
+9,9307,14,9,1,14,1 2 1 1 2 1 1 2 3,32591,11183,2,9786,5,7455,23,1115
+11,6235,14,11,1,17,1 2 1 1 2 1 1 1 1 1 5,294343,8429,2,38922,12,5619,23,2139
+11,12379,14,11,1,17,1 2 1 1 2 1 1 1 3 1 3,325063,16733,2,38922,14,11155,23,91
+12,2139,14,12,1,20,1 2 1 1 2 1 1 1 1 3 1 5,952661,1085,2,2082846,1,723,23,2139
+12,5211,14,12,2,21,1 2 1 1 2 1 1 2 1 2 1 6,998741,1321,1,4165692,1,1761,23,1115
+12,8283,14,12,1,20,1 2 1 1 2 1 1 1 2 1 4 3,1044821,4199,2,2082846,1,2799,23,91
+12,11355,14,12,1,22,1 2 1 1 2 1 1 3 1 1 1 7,1090901,1439,2,11520030,1,959,23,3163
+14,1115,14,14,2,23,1 2 1 1 2 1 1 2 2 1 2 1 2 4,10532861,637,1,6033948,6,849,23,1115
+17,13403,14,17,1,28,1 2 1 1 2 1 1 2 1 1 1 1 1 2 1 6 3,274651055,6449,2,547026042,1,4299,23,1115
+17,14427,14,17,1,27,1 2 1 1 2 1 1 1 1 1 1 1 2 4 1 1 5,239586223,13883,2,144372858,3,9255,23,2139
+28,91,14,28,2,45,1 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 4,64458584017301,61,1,14045946446652,16,81,23,91
+33,10331,14,33,1,52,1 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 1,12758534025568367,12755,2,2392677749000442,9,8503,23,2139
diff --git a/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_D8_E23_palier2p14.json b/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_D8_E23_palier2p14.json
new file mode 100644
index 0000000..618c594
--- /dev/null
+++ b/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_D8_E23_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    7259
+  ],
+  "covered": [
+    7259,
+    15451
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_F9to33_E23_palier2p14.json b/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_F9to33_E23_palier2p14.json
new file mode 100644
index 0000000..d6be601
--- /dev/null
+++ b/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_F9to33_E23_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    91,
+    1115,
+    2139,
+    3163,
+    4187,
+    5211,
+    6235,
+    8283,
+    9307,
+    10331,
+    11355,
+    12379,
+    13403,
+    14427
+  ],
+  "covered": [
+    91,
+    1115,
+    2139,
+    3163,
+    4187,
+    5211,
+    6235,
+    8283,
+    9307,
+    10331,
+    11355,
+    12379,
+    13403,
+    14427
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E23_palier2p14/metadata.json b/docs/artefacts/collatz/local_E23_palier2p14/metadata.json
new file mode 100644
index 0000000..27104fa
--- /dev/null
+++ b/docs/artefacts/collatz/local_E23_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 23,
+  "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_E23_palier2p14/certificats/certificat_D8_E23_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 33,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/candidats/candidats_F9to33_E23_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_F9to33_E23_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/audits/verification_H6_E23_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_E23_B12.json b/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_E23_B12.json
new file mode 100644
index 0000000..92673a6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_E23_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    91,
+    1115,
+    2139,
+    3163
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_Lift_E23_palier2p14.json b/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_Lift_E23_palier2p14.json
new file mode 100644
index 0000000..7a0364b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_Lift_E23_palier2p14.json
@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    91,
+    1115,
+    2139,
+    3163,
+    4187,
+    5211,
+    6235,
+    7259,
+    8283,
+    9307,
+    10331,
+    11355,
+    12379,
+    13403,
+    14427,
+    15451
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_post_D8_E23_palier2p14.json b/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_post_D8_E23_palier2p14.json
new file mode 100644
index 0000000..52b9250
--- /dev/null
+++ b/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_post_D8_E23_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    91,
+    1115,
+    2139,
+    3163,
+    4187,
+    5211,
+    6235,
+    8283,
+    9307,
+    10331,
+    11355,
+    12379,
+    13403,
+    14427
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E24_palier2p14/audits/verification_H6_E24_palier2p14.md b/docs/artefacts/collatz/local_E24_palier2p14/audits/verification_H6_E24_palier2p14.md
new file mode 100644
index 0000000..815d913
--- /dev/null
+++ b/docs/artefacts/collatz/local_E24_palier2p14/audits/verification_H6_E24_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E24) — 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_E24_palier2p14/noyaux/noyau_E24_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_Lift_E24_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_D8_E24_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_F9to30_E24_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E24_palier2p14/candidats/candidats_D8_E24_palier2p14.csv b/docs/artefacts/collatz/local_E24_palier2p14/candidats/candidats_D8_E24_palier2p14.csv
new file mode 100644
index 0000000..e84984f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E24_palier2p14/candidats/candidats_D8_E24_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+5371,13563,13,14
diff --git a/docs/artefacts/collatz/local_E24_palier2p14/candidats/candidats_F9to30_E24_palier2p14.csv b/docs/artefacts/collatz/local_E24_palier2p14/candidats/candidats_F9to30_E24_palier2p14.csv
new file mode 100644
index 0000000..92a057e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E24_palier2p14/candidats/candidats_F9to30_E24_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
+9,1275,14,9,1,15,1 2 1 2 1 1 1 3 3,37231,767,2,58938,1,511,24,1275
+9,2299,14,9,2,16,1 2 1 2 1 1 1 1 6,34159,691,1,117876,1,921,24,2299
+9,7419,14,9,1,14,1 2 1 2 1 1 1 2 3,35183,8915,2,9786,6,5943,24,3323
+12,14587,14,12,2,21,1 2 1 2 1 1 1 1 2 2 1 6,1041077,3697,1,4165692,1,4929,24,2299
+14,6395,14,14,1,22,1 2 1 2 1 1 1 1 2 1 3 1 2 3,10360925,7295,2,3016974,6,4863,24,2299
+14,10491,14,14,2,23,1 2 1 2 1 1 1 1 3 1 2 1 2 4,10913885,5983,1,6033948,6,7977,24,2299
+16,8443,14,16,1,26,1 2 1 2 1 1 1 1 1 2 1 1 2 2 2 5,85250885,5417,2,115233150,1,3611,24,251
+17,251,14,17,2,29,1 2 1 2 1 1 1 1 1 3 1 1 1 4 2 2 4,334944719,61,1,1094052084,1,81,24,251
+17,15611,14,17,1,27,1 2 1 2 1 1 1 2 2 2 1 1 2 1 1 3 3,345843151,15023,2,144372858,4,10015,24,3323
+18,9467,14,18,1,28,1 2 1 2 1 1 1 3 1 1 1 1 1 3 2 1 2 3,997607789,13667,2,30465390,57,9111,24,1275
+20,11515,14,20,2,33,1 2 1 2 1 1 1 2 1 1 1 1 2 2 1 2 2 1 2 6,7621840085,4675,1,11822666172,2,6233,24,3323
+26,3323,14,26,2,43,1 2 1 2 1 1 1 2 1 2 1 1 1 3 1 1 1 1 1 3 2 1 2 3 1 6,6425246804621,961,1,16220815753308,2,1281,24,3323
+29,12539,14,29,1,49,1 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 5,194177002918111,1529,2,1551589105534170,1,1019,24,251
+30,4347,14,30,1,47,1 2 1 2 1 1 1 1 1 1 4 1 2 2 1 1 1 1 1 2 2 4 2 1 1 2 2 1 1 3,785362166223517,6365,2,10430200876686,138,4243,24,251
diff --git a/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_D8_E24_palier2p14.json b/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_D8_E24_palier2p14.json
new file mode 100644
index 0000000..bce680f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_D8_E24_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    5371
+  ],
+  "covered": [
+    5371,
+    13563
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_F9to30_E24_palier2p14.json b/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_F9to30_E24_palier2p14.json
new file mode 100644
index 0000000..fffb3d8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_F9to30_E24_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    251,
+    1275,
+    2299,
+    3323,
+    4347,
+    6395,
+    7419,
+    8443,
+    9467,
+    10491,
+    11515,
+    12539,
+    14587,
+    15611
+  ],
+  "covered": [
+    251,
+    1275,
+    2299,
+    3323,
+    4347,
+    6395,
+    7419,
+    8443,
+    9467,
+    10491,
+    11515,
+    12539,
+    14587,
+    15611
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E24_palier2p14/metadata.json b/docs/artefacts/collatz/local_E24_palier2p14/metadata.json
new file mode 100644
index 0000000..dd7b48b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E24_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 24,
+  "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_E24_palier2p14/certificats/certificat_D8_E24_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 30,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/candidats/candidats_F9to30_E24_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_F9to30_E24_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/audits/verification_H6_E24_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_E24_B12.json b/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_E24_B12.json
new file mode 100644
index 0000000..777b8f9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_E24_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    251,
+    1275,
+    2299,
+    3323
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_Lift_E24_palier2p14.json b/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_Lift_E24_palier2p14.json
new file mode 100644
index 0000000..fbb870a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_Lift_E24_palier2p14.json
@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    251,
+    1275,
+    2299,
+    3323,
+    4347,
+    5371,
+    6395,
+    7419,
+    8443,
+    9467,
+    10491,
+    11515,
+    12539,
+    13563,
+    14587,
+    15611
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_post_D8_E24_palier2p14.json b/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_post_D8_E24_palier2p14.json
new file mode 100644
index 0000000..e64c7e9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_post_D8_E24_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    251,
+    1275,
+    2299,
+    3323,
+    4347,
+    6395,
+    7419,
+    8443,
+    9467,
+    10491,
+    11515,
+    12539,
+    14587,
+    15611
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E25_palier2p14/audits/verification_H6_E25_palier2p14.md b/docs/artefacts/collatz/local_E25_palier2p14/audits/verification_H6_E25_palier2p14.md
new file mode 100644
index 0000000..9ceb3af
--- /dev/null
+++ b/docs/artefacts/collatz/local_E25_palier2p14/audits/verification_H6_E25_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E25) — 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_E25_palier2p14/noyaux/noyau_E25_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_Lift_E25_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_D8_E25_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_F9to51_E25_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E25_palier2p14/candidats/candidats_D8_E25_palier2p14.csv b/docs/artefacts/collatz/local_E25_palier2p14/candidats/candidats_D8_E25_palier2p14.csv
new file mode 100644
index 0000000..bfa397c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E25_palier2p14/candidats/candidats_D8_E25_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+11647,3455,13,14
diff --git a/docs/artefacts/collatz/local_E25_palier2p14/candidats/candidats_F9to51_E25_palier2p14.csv b/docs/artefacts/collatz/local_E25_palier2p14/candidats/candidats_F9to51_E25_palier2p14.csv
new file mode 100644
index 0000000..72bf74d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E25_palier2p14/candidats/candidats_F9to51_E25_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,13695,14,9,2,15,1 1 1 1 1 1 4 1 4,23651,8227,1,19572,4,10969,25,1407
+10,9599,14,10,1,17,1 1 1 1 1 1 4 1 1 5,75049,4325,2,275118,1,2883,25,1407
+10,15743,14,10,2,17,1 1 1 1 1 1 4 2 1 4,85289,7093,1,157020,2,9457,25,3455
+11,7551,14,11,2,22,1 1 1 1 1 1 4 2 2 2 6,345979,319,1,11874324,1,425,25,3455
+26,5503,14,26,1,41,1 1 1 1 1 1 4 1 2 2 1 1 1 1 1 2 2 4 2 1 1 2 2 1 1 3,8895368293993,6365,2,1513338109998,11,4243,25,1407
+51,1407,14,51,2,84,1 1 1 1 1 1 4 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 6,6574252824638709662693083,157,1,49413663489199969320653460,1,209,25,1407
diff --git a/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_D8_E25_palier2p14.json b/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_D8_E25_palier2p14.json
new file mode 100644
index 0000000..8152f2f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_D8_E25_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    11647
+  ],
+  "covered": [
+    3455,
+    11647
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_F9to51_E25_palier2p14.json b/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_F9to51_E25_palier2p14.json
new file mode 100644
index 0000000..6e985ab
--- /dev/null
+++ b/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_F9to51_E25_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    1407,
+    5503,
+    7551,
+    9599,
+    13695,
+    15743
+  ],
+  "covered": [
+    1407,
+    5503,
+    7551,
+    9599,
+    13695,
+    15743
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E25_palier2p14/metadata.json b/docs/artefacts/collatz/local_E25_palier2p14/metadata.json
new file mode 100644
index 0000000..2733179
--- /dev/null
+++ b/docs/artefacts/collatz/local_E25_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 25,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_D8_E25_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 51,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/candidats/candidats_F9to51_E25_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_F9to51_E25_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/audits/verification_H6_E25_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_E25_B12.json b/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_E25_B12.json
new file mode 100644
index 0000000..d4a301c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_E25_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1407,
+    3455
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_Lift_E25_palier2p14.json b/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_Lift_E25_palier2p14.json
new file mode 100644
index 0000000..2dcd098
--- /dev/null
+++ b/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_Lift_E25_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1407,
+    3455,
+    5503,
+    7551,
+    9599,
+    11647,
+    13695,
+    15743
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_post_D8_E25_palier2p14.json b/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_post_D8_E25_palier2p14.json
new file mode 100644
index 0000000..1054a97
--- /dev/null
+++ b/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_post_D8_E25_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    1407,
+    5503,
+    7551,
+    9599,
+    13695,
+    15743
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E26_palier2p14/audits/verification_H6_E26_palier2p14.md b/docs/artefacts/collatz/local_E26_palier2p14/audits/verification_H6_E26_palier2p14.md
new file mode 100644
index 0000000..f999a2b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E26_palier2p14/audits/verification_H6_E26_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E26) — 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_E26_palier2p14/noyaux/noyau_E26_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_Lift_E26_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_D8_E26_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_F9to27_E26_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E26_palier2p14/candidats/candidats_D8_E26_palier2p14.csv b/docs/artefacts/collatz/local_E26_palier2p14/candidats/candidats_D8_E26_palier2p14.csv
new file mode 100644
index 0000000..9c4574a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E26_palier2p14/candidats/candidats_D8_E26_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+9407,1215,13,14
diff --git a/docs/artefacts/collatz/local_E26_palier2p14/candidats/candidats_F9to27_E26_palier2p14.csv b/docs/artefacts/collatz/local_E26_palier2p14/candidats/candidats_F9to27_E26_palier2p14.csv
new file mode 100644
index 0000000..adc5ccc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E26_palier2p14/candidats/candidats_F9to27_E26_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,5311,14,9,1,15,1 1 1 1 1 2 3 2 3,26275,3191,2,58938,1,2127,26,1215
+9,11455,14,9,1,14,1 1 1 1 1 2 3 1 3,24227,13763,2,9786,4,9175,26,3263
+11,3263,14,11,1,19,1 1 1 1 1 2 3 1 2 1 5,259003,1103,2,1218570,1,735,26,3263
+26,13503,14,26,1,41,1 1 1 1 1 2 3 2 1 1 1 1 1 1 2 2 2 1 1 1 5 1 2 1 2 3,6137762495785,15611,2,1513338109998,7,10407,26,1215
+27,7359,14,27,1,44,1 1 1 1 1 2 3 1 1 2 1 1 1 1 2 1 3 2 3 1 1 1 1 1 5 2 3,19893775712123,3191,2,37525363163274,1,2127,26,3263
+27,15551,14,27,1,45,1 1 1 1 1 2 3 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5,20851822419835,3371,2,90301921296522,1,2247,26,3263
diff --git a/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_D8_E26_palier2p14.json b/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_D8_E26_palier2p14.json
new file mode 100644
index 0000000..a771a2c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_D8_E26_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    9407
+  ],
+  "covered": [
+    1215,
+    9407
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_F9to27_E26_palier2p14.json b/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_F9to27_E26_palier2p14.json
new file mode 100644
index 0000000..01437a0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_F9to27_E26_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    3263,
+    5311,
+    7359,
+    11455,
+    13503,
+    15551
+  ],
+  "covered": [
+    3263,
+    5311,
+    7359,
+    11455,
+    13503,
+    15551
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E26_palier2p14/metadata.json b/docs/artefacts/collatz/local_E26_palier2p14/metadata.json
new file mode 100644
index 0000000..00c1bbc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E26_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 26,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_D8_E26_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 27,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/candidats/candidats_F9to27_E26_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_F9to27_E26_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/audits/verification_H6_E26_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_E26_B12.json b/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_E26_B12.json
new file mode 100644
index 0000000..64be48c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_E26_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1215,
+    3263
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_Lift_E26_palier2p14.json b/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_Lift_E26_palier2p14.json
new file mode 100644
index 0000000..b9cda81
--- /dev/null
+++ b/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_Lift_E26_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1215,
+    3263,
+    5311,
+    7359,
+    9407,
+    11455,
+    13503,
+    15551
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_post_D8_E26_palier2p14.json b/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_post_D8_E26_palier2p14.json
new file mode 100644
index 0000000..2b9e1c7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_post_D8_E26_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    3263,
+    5311,
+    7359,
+    11455,
+    13503,
+    15551
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E27_palier2p14/audits/verification_H6_E27_palier2p14.md b/docs/artefacts/collatz/local_E27_palier2p14/audits/verification_H6_E27_palier2p14.md
new file mode 100644
index 0000000..c3074fa
--- /dev/null
+++ b/docs/artefacts/collatz/local_E27_palier2p14/audits/verification_H6_E27_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E27) — 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_E27_palier2p14/noyaux/noyau_E27_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_Lift_E27_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_D8_E27_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_F9to17_E27_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E27_palier2p14/candidats/candidats_D8_E27_palier2p14.csv b/docs/artefacts/collatz/local_E27_palier2p14/candidats/candidats_D8_E27_palier2p14.csv
new file mode 100644
index 0000000..276abfa
--- /dev/null
+++ b/docs/artefacts/collatz/local_E27_palier2p14/candidats/candidats_D8_E27_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+4927,13119,13,14
diff --git a/docs/artefacts/collatz/local_E27_palier2p14/candidats/candidats_F9to17_E27_palier2p14.csv b/docs/artefacts/collatz/local_E27_palier2p14/candidats/candidats_F9to17_E27_palier2p14.csv
new file mode 100644
index 0000000..6738468
--- /dev/null
+++ b/docs/artefacts/collatz/local_E27_palier2p14/candidats/candidats_F9to17_E27_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,831,14,9,1,17,1 1 1 1 1 3 2 2 5,27427,125,2,353850,1,83,27,831
+9,6975,14,9,1,14,1 1 1 1 1 3 2 1 3,25379,8381,2,9786,4,5587,27,2879
+10,15167,14,10,1,16,1 1 1 1 1 3 2 1 2 3,84329,13667,2,78510,2,9111,27,2879
+11,2879,14,11,1,17,1 1 1 1 1 3 2 1 1 2 3,257083,3893,2,38922,10,2595,27,2879
+11,9023,14,11,1,17,1 1 1 1 1 3 2 2 1 1 3,287803,12197,2,38922,12,8131,27,831
+17,11071,14,17,1,28,1 1 1 1 1 3 2 1 1 1 1 4 1 1 1 2 5,244929539,5327,2,547026042,1,3551,27,2879
diff --git a/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_D8_E27_palier2p14.json b/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_D8_E27_palier2p14.json
new file mode 100644
index 0000000..9f0e54f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_D8_E27_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    4927
+  ],
+  "covered": [
+    4927,
+    13119
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_F9to17_E27_palier2p14.json b/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_F9to17_E27_palier2p14.json
new file mode 100644
index 0000000..ccf7fbd
--- /dev/null
+++ b/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_F9to17_E27_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    831,
+    2879,
+    6975,
+    9023,
+    11071,
+    15167
+  ],
+  "covered": [
+    831,
+    2879,
+    6975,
+    9023,
+    11071,
+    15167
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E27_palier2p14/metadata.json b/docs/artefacts/collatz/local_E27_palier2p14/metadata.json
new file mode 100644
index 0000000..2d1f374
--- /dev/null
+++ b/docs/artefacts/collatz/local_E27_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 27,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_D8_E27_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 17,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/candidats/candidats_F9to17_E27_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_F9to17_E27_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/audits/verification_H6_E27_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_E27_B12.json b/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_E27_B12.json
new file mode 100644
index 0000000..a9ae4fd
--- /dev/null
+++ b/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_E27_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    831,
+    2879
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_Lift_E27_palier2p14.json b/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_Lift_E27_palier2p14.json
new file mode 100644
index 0000000..cc83913
--- /dev/null
+++ b/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_Lift_E27_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    831,
+    2879,
+    4927,
+    6975,
+    9023,
+    11071,
+    13119,
+    15167
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_post_D8_E27_palier2p14.json b/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_post_D8_E27_palier2p14.json
new file mode 100644
index 0000000..0f0a625
--- /dev/null
+++ b/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_post_D8_E27_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    831,
+    2879,
+    6975,
+    9023,
+    11071,
+    15167
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E28_palier2p14/audits/verification_H6_E28_palier2p14.md b/docs/artefacts/collatz/local_E28_palier2p14/audits/verification_H6_E28_palier2p14.md
new file mode 100644
index 0000000..add04b5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E28_palier2p14/audits/verification_H6_E28_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E28) — 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_E28_palier2p14/noyaux/noyau_E28_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_Lift_E28_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_D8_E28_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_F9to50_E28_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E28_palier2p14/candidats/candidats_D8_E28_palier2p14.csv b/docs/artefacts/collatz/local_E28_palier2p14/candidats/candidats_D8_E28_palier2p14.csv
new file mode 100644
index 0000000..7cc2378
--- /dev/null
+++ b/docs/artefacts/collatz/local_E28_palier2p14/candidats/candidats_D8_E28_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+12351,4159,13,14
diff --git a/docs/artefacts/collatz/local_E28_palier2p14/candidats/candidats_F9to50_E28_palier2p14.csv b/docs/artefacts/collatz/local_E28_palier2p14/candidats/candidats_F9to50_E28_palier2p14.csv
new file mode 100644
index 0000000..c6e1c10
--- /dev/null
+++ b/docs/artefacts/collatz/local_E28_palier2p14/candidats/candidats_F9to50_E28_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,14399,14,9,1,16,1 1 1 1 1 4 1 1 5,27683,4325,2,157242,1,2883,28,2111
+10,6207,14,10,2,17,1 1 1 1 1 4 1 1 2 4,91241,2797,1,157020,2,3729,28,2111
+18,8255,14,18,2,29,1 1 1 1 1 4 1 2 2 1 1 1 1 1 2 2 4 2,1057627913,5959,1,60930780,61,7945,28,63
+21,10303,14,21,1,34,1 1 1 1 1 4 1 1 1 3 2 1 1 2 1 1 1 3 1 3 3,30660079091,6275,2,30618901146,2,4183,28,2111
+35,63,14,35,1,57,1 1 1 1 1 4 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 3,162661984507703515,23,2,332282474029568202,1,15,28,63
+50,2111,14,50,2,83,1 1 1 1 1 4 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 6,2928177418473428536961417,157,1,26142627719983689837867228,1,209,28,2111
diff --git a/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_D8_E28_palier2p14.json b/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_D8_E28_palier2p14.json
new file mode 100644
index 0000000..387492c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_D8_E28_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    12351
+  ],
+  "covered": [
+    4159,
+    12351
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_F9to50_E28_palier2p14.json b/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_F9to50_E28_palier2p14.json
new file mode 100644
index 0000000..67f43c5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_F9to50_E28_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    63,
+    2111,
+    6207,
+    8255,
+    10303,
+    14399
+  ],
+  "covered": [
+    63,
+    2111,
+    6207,
+    8255,
+    10303,
+    14399
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E28_palier2p14/metadata.json b/docs/artefacts/collatz/local_E28_palier2p14/metadata.json
new file mode 100644
index 0000000..c352410
--- /dev/null
+++ b/docs/artefacts/collatz/local_E28_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 28,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_D8_E28_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 50,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/candidats/candidats_F9to50_E28_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_F9to50_E28_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/audits/verification_H6_E28_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_E28_B12.json b/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_E28_B12.json
new file mode 100644
index 0000000..adccbb4
--- /dev/null
+++ b/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_E28_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    63,
+    2111
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_Lift_E28_palier2p14.json b/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_Lift_E28_palier2p14.json
new file mode 100644
index 0000000..22ad843
--- /dev/null
+++ b/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_Lift_E28_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    63,
+    2111,
+    4159,
+    6207,
+    8255,
+    10303,
+    12351,
+    14399
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_post_D8_E28_palier2p14.json b/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_post_D8_E28_palier2p14.json
new file mode 100644
index 0000000..505f601
--- /dev/null
+++ b/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_post_D8_E28_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    63,
+    2111,
+    6207,
+    8255,
+    10303,
+    14399
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E29_palier2p14/audits/verification_H6_E29_palier2p14.md b/docs/artefacts/collatz/local_E29_palier2p14/audits/verification_H6_E29_palier2p14.md
new file mode 100644
index 0000000..3a4cc1d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E29_palier2p14/audits/verification_H6_E29_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E29) — 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_E29_palier2p14/noyaux/noyau_E29_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_Lift_E29_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_D8_E29_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_F9to16_E29_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_D8_E29_palier2p14.csv b/docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_D8_E29_palier2p14.csv
new file mode 100644
index 0000000..5598987
--- /dev/null
+++ b/docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_D8_E29_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+14239,6047,13,14
diff --git a/docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_F9to16_E29_palier2p14.csv b/docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_F9to16_E29_palier2p14.csv
new file mode 100644
index 0000000..4f943b1
--- /dev/null
+++ b/docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_F9to16_E29_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,16287,14,9,1,18,1 1 1 1 2 1 3 1 7,25091,1223,2,747066,1,815,29,3999
+10,8095,14,10,1,16,1 1 1 1 2 1 3 1 2 3,83465,7295,2,78510,2,4863,29,3999
+11,1951,14,11,1,17,1 1 1 1 2 1 3 2 1 1 3,285211,2639,2,38922,12,1759,29,1951
+12,3999,14,12,1,19,1 1 1 1 2 1 3 1 1 1 1 5,755281,4055,2,509982,2,2703,29,3999
+12,12191,14,12,1,19,1 1 1 1 2 1 3 1 1 3 1 3,878161,12359,2,509982,3,8239,29,3999
+16,10143,14,16,2,28,1 1 1 1 2 1 3 2 2 1 2 1 1 1 4 4,121595809,1627,1,633119484,1,2169,29,1951
diff --git a/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_D8_E29_palier2p14.json b/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_D8_E29_palier2p14.json
new file mode 100644
index 0000000..a0034e2
--- /dev/null
+++ b/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_D8_E29_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    14239
+  ],
+  "covered": [
+    6047,
+    14239
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_F9to16_E29_palier2p14.json b/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_F9to16_E29_palier2p14.json
new file mode 100644
index 0000000..37df700
--- /dev/null
+++ b/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_F9to16_E29_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    1951,
+    3999,
+    8095,
+    10143,
+    12191,
+    16287
+  ],
+  "covered": [
+    1951,
+    3999,
+    8095,
+    10143,
+    12191,
+    16287
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E29_palier2p14/metadata.json b/docs/artefacts/collatz/local_E29_palier2p14/metadata.json
new file mode 100644
index 0000000..1ba21ab
--- /dev/null
+++ b/docs/artefacts/collatz/local_E29_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 29,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_D8_E29_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 16,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_F9to16_E29_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_F9to16_E29_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/audits/verification_H6_E29_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_E29_B12.json b/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_E29_B12.json
new file mode 100644
index 0000000..4cb382f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_E29_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1951,
+    3999
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_Lift_E29_palier2p14.json b/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_Lift_E29_palier2p14.json
new file mode 100644
index 0000000..c1b1b24
--- /dev/null
+++ b/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_Lift_E29_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1951,
+    3999,
+    6047,
+    8095,
+    10143,
+    12191,
+    14239,
+    16287
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_post_D8_E29_palier2p14.json b/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_post_D8_E29_palier2p14.json
new file mode 100644
index 0000000..24ec88e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_post_D8_E29_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    1951,
+    3999,
+    8095,
+    10143,
+    12191,
+    16287
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E2_palier2p14/audits/verification_H6_E2_palier2p14.md b/docs/artefacts/collatz/local_E2_palier2p14/audits/verification_H6_E2_palier2p14.md
new file mode 100644
index 0000000..4866a14
--- /dev/null
+++ b/docs/artefacts/collatz/local_E2_palier2p14/audits/verification_H6_E2_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E2) — 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_E2_palier2p14/noyaux/noyau_E2_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_Lift_E2_palier2p14.json`
+- taille : 32
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_D8_E2_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_F9to42_E2_palier2p14.json`
+  - covered : 30 classes
+
+## Résultat
+
+- |L| = 32
+- |U| = 32
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_D8_E2_palier2p14.csv b/docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_D8_E2_palier2p14.csv
new file mode 100644
index 0000000..6a8e17c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_D8_E2_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+4223,12415,13,14
diff --git a/docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_F9to42_E2_palier2p14.csv b/docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_F9to42_E2_palier2p14.csv
new file mode 100644
index 0000000..14fce40
--- /dev/null
+++ b/docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_F9to42_E2_palier2p14.csv
@@ -0,0 +1,31 @@
+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
+9,127,14,9,1,15,1 1 1 1 1 1 2 4 3,23395,77,2,58938,1,51,2,127
+9,1151,14,9,1,17,1 1 1 1 1 1 2 2 7,20323,173,2,353850,1,115,2,1151
+9,6271,14,9,1,14,1 1 1 1 1 1 2 3 3,21347,7535,2,9786,3,5023,2,2175
+9,6783,14,9,2,15,1 1 1 1 1 1 2 1 6,19811,4075,1,19572,3,5433,2,2687
+10,2687,14,10,1,17,1 1 1 1 1 1 2 1 3 5,63529,1211,2,275118,1,807,2,2687
+10,15487,14,10,1,16,1 1 1 1 1 1 2 2 1 5,63017,13955,2,78510,1,9303,2,3199
+11,1663,14,11,1,17,1 1 1 1 1 1 2 1 1 2 5,185467,2249,2,38922,7,1499,2,1663
+11,3199,14,11,1,17,1 1 1 1 1 1 2 2 1 1 5,193147,4325,2,38922,7,2883,2,3199
+11,4735,14,11,1,17,1 1 1 1 1 1 2 1 2 3 3,200827,6401,2,38922,7,4267,2,639
+11,9343,14,11,1,17,1 1 1 1 1 1 2 2 3 1 3,223867,12629,2,38922,9,8419,2,1151
+11,13951,14,11,1,17,1 1 1 1 1 1 2 1 1 6 1,246907,18857,2,38922,10,12571,2,1663
+12,2175,14,12,1,20,1 1 1 1 1 1 2 3 1 2 1 5,695153,1103,2,2082846,1,735,2,2175
+12,5247,14,12,1,22,1 1 1 1 1 1 2 2 2 1 4 5,741233,665,2,11520030,1,443,2,1151
+12,8319,14,12,1,20,1 1 1 1 1 1 2 4 1 1 1 5,787313,4217,2,2082846,1,2811,2,127
+12,14463,14,12,1,20,1 1 1 1 1 1 2 3 2 2 2 3,879473,7331,2,2082846,1,4887,2,2175
+13,7807,14,13,1,25,1 1 1 1 1 1 2 1 1 1 4 1 9,1814611,371,2,97474650,1,247,2,3711
+14,639,14,14,1,23,1 1 1 1 1 1 2 1 2 1 1 2 3 5,5524729,365,2,15599886,1,243,2,639
+14,8831,14,14,1,25,1 1 1 1 1 1 2 1 2 1 3 1 4 5,6630649,1259,2,91097358,1,839,2,639
+15,14975,14,15,1,24,1 1 1 1 1 1 2 1 4 1 1 1 4 1 3,24477419,12809,2,21633834,2,8539,2,2687
+17,12927,14,17,2,30,1 1 1 1 1 1 2 1 2 2 1 4 2 2 1 1 6,273649219,1555,1,2704664820,1,2073,2,639
+17,15999,14,17,1,27,1 1 1 1 1 1 2 1 1 1 2 1 1 2 5 2 3,168454723,15395,2,144372858,2,10263,2,3711
+18,9855,14,18,1,28,1 1 1 1 1 1 2 1 1 2 1 1 2 3 1 2 1 5,465442505,14225,2,30465390,22,9483,2,1663
+19,7295,14,19,2,31,1 1 1 1 1 1 2 2 1 2 1 1 1 2 1 4 2 2 4,1715524187,3949,1,1793405076,3,5265,2,3199
+22,5759,14,22,1,35,1 1 1 1 1 1 2 1 1 3 1 1 1 2 2 1 1 2 1 1 6 3,43061265817,5261,2,40317095886,2,3507,2,1663
+23,3711,14,23,1,37,1 1 1 1 1 1 2 1 1 1 1 3 1 2 2 3 2 1 1 1 3 1 5,141922052299,2543,2,224030502762,1,1695,2,3711
+24,10879,14,24,1,40,1 1 1 1 1 1 2 1 3 1 2 1 4 1 1 1 1 2 1 1 1 1 5 5,584072257121,2795,2,2733675810366,1,1863,2,2687
+24,11903,14,24,1,41,1 1 1 1 1 1 2 1 1 1 1 1 3 1 2 1 5 1 1 3 2 2 2 5,547785005665,1529,2,6032210693694,1,1019,2,3711
+28,10367,14,28,1,46,1 1 1 1 1 1 2 3 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5,49329242324657,3371,2,165352647623070,1,2247,2,2175
+28,11391,14,28,2,49,1 1 1 1 1 1 2 2 1 1 1 1 2 6 1 1 1 1 1 2 2 1 1 2 2 3 1 8,56285579606705,463,1,1597342690444092,1,617,2,3199
+42,13439,14,42,1,71,1 1 1 1 1 1 2 2 2 2 1 1 3 1 1 2 1 2 2 1 3 1 1 1 1 3 1 4 1 1 2 2 1 2 2 1 2 2 1 1 2 7,535364475499888656553,623,2,6864711746041443102126,1,415,2,1151
diff --git a/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_D8_E2_palier2p14.json b/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_D8_E2_palier2p14.json
new file mode 100644
index 0000000..d3b3077
--- /dev/null
+++ b/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_D8_E2_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    4223
+  ],
+  "covered": [
+    4223,
+    12415
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_F9to42_E2_palier2p14.json b/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_F9to42_E2_palier2p14.json
new file mode 100644
index 0000000..232651c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_F9to42_E2_palier2p14.json
@@ -0,0 +1,67 @@
+{
+  "clauses": [
+    127,
+    639,
+    1151,
+    1663,
+    2175,
+    2687,
+    3199,
+    3711,
+    4735,
+    5247,
+    5759,
+    6271,
+    6783,
+    7295,
+    7807,
+    8319,
+    8831,
+    9343,
+    9855,
+    10367,
+    10879,
+    11391,
+    11903,
+    12927,
+    13439,
+    13951,
+    14463,
+    14975,
+    15487,
+    15999
+  ],
+  "covered": [
+    127,
+    639,
+    1151,
+    1663,
+    2175,
+    2687,
+    3199,
+    3711,
+    4735,
+    5247,
+    5759,
+    6271,
+    6783,
+    7295,
+    7807,
+    8319,
+    8831,
+    9343,
+    9855,
+    10367,
+    10879,
+    11391,
+    11903,
+    12927,
+    13439,
+    13951,
+    14463,
+    14975,
+    15487,
+    15999
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E2_palier2p14/metadata.json b/docs/artefacts/collatz/local_E2_palier2p14/metadata.json
new file mode 100644
index 0000000..5421f4f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E2_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 2,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 32,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_D8_E2_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 42,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_F9to42_E2_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_F9to42_E2_palier2p14.json",
+    "clauses": 30,
+    "covered": 30
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/audits/verification_H6_E2_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_E2_B12.json b/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_E2_B12.json
new file mode 100644
index 0000000..b6b4169
--- /dev/null
+++ b/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_E2_B12.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    127,
+    639,
+    1151,
+    1663,
+    2175,
+    2687,
+    3199,
+    3711
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_Lift_E2_palier2p14.json b/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_Lift_E2_palier2p14.json
new file mode 100644
index 0000000..b1cae10
--- /dev/null
+++ b/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_Lift_E2_palier2p14.json
@@ -0,0 +1,37 @@
+{
+  "noyau": [
+    127,
+    639,
+    1151,
+    1663,
+    2175,
+    2687,
+    3199,
+    3711,
+    4223,
+    4735,
+    5247,
+    5759,
+    6271,
+    6783,
+    7295,
+    7807,
+    8319,
+    8831,
+    9343,
+    9855,
+    10367,
+    10879,
+    11391,
+    11903,
+    12415,
+    12927,
+    13439,
+    13951,
+    14463,
+    14975,
+    15487,
+    15999
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_post_D8_E2_palier2p14.json b/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_post_D8_E2_palier2p14.json
new file mode 100644
index 0000000..acb1976
--- /dev/null
+++ b/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_post_D8_E2_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "noyau": [
+    127,
+    639,
+    1151,
+    1663,
+    2175,
+    2687,
+    3199,
+    3711,
+    4735,
+    5247,
+    5759,
+    6271,
+    6783,
+    7295,
+    7807,
+    8319,
+    8831,
+    9343,
+    9855,
+    10367,
+    10879,
+    11391,
+    11903,
+    12927,
+    13439,
+    13951,
+    14463,
+    14975,
+    15487,
+    15999
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E30_palier2p14/audits/verification_H6_E30_palier2p14.md b/docs/artefacts/collatz/local_E30_palier2p14/audits/verification_H6_E30_palier2p14.md
new file mode 100644
index 0000000..857ec7d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E30_palier2p14/audits/verification_H6_E30_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E30) — 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_E30_palier2p14/noyaux/noyau_E30_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_Lift_E30_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_D8_E30_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_F9to14_E30_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_D8_E30_palier2p14.csv b/docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_D8_E30_palier2p14.csv
new file mode 100644
index 0000000..219ae7f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_D8_E30_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+9759,1567,13,14
diff --git a/docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_F9to14_E30_palier2p14.csv b/docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_F9to14_E30_palier2p14.csv
new file mode 100644
index 0000000..6812c42
--- /dev/null
+++ b/docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_F9to14_E30_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,11807,14,9,2,15,1 1 1 1 2 2 2 1 4,26243,7093,1,19572,4,9457,30,3615
+10,5663,14,10,2,20,1 1 1 1 2 2 2 2 2 6,101257,319,1,2909532,1,425,30,1567
+10,13855,14,10,1,16,1 1 1 1 2 2 2 2 1 3,93065,12485,2,78510,2,8323,30,1567
+11,3615,14,11,1,20,1 1 1 1 2 2 2 1 2 2 5,293531,611,2,2791434,1,407,30,3615
+11,7711,14,11,2,20,1 1 1 1 2 2 2 1 1 4 4,314011,1303,1,2437140,1,1737,30,3615
+14,15903,14,14,1,22,1 1 1 1 2 2 2 1 1 1 2 3 1 3,8535641,18137,2,3016974,5,12091,30,3615
diff --git a/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_D8_E30_palier2p14.json b/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_D8_E30_palier2p14.json
new file mode 100644
index 0000000..f4d470c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_D8_E30_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    9759
+  ],
+  "covered": [
+    1567,
+    9759
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_F9to14_E30_palier2p14.json b/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_F9to14_E30_palier2p14.json
new file mode 100644
index 0000000..e4d602b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_F9to14_E30_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    3615,
+    5663,
+    7711,
+    11807,
+    13855,
+    15903
+  ],
+  "covered": [
+    3615,
+    5663,
+    7711,
+    11807,
+    13855,
+    15903
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E30_palier2p14/metadata.json b/docs/artefacts/collatz/local_E30_palier2p14/metadata.json
new file mode 100644
index 0000000..cf48053
--- /dev/null
+++ b/docs/artefacts/collatz/local_E30_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 30,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_D8_E30_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 14,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_F9to14_E30_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_F9to14_E30_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/audits/verification_H6_E30_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_E30_B12.json b/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_E30_B12.json
new file mode 100644
index 0000000..45db008
--- /dev/null
+++ b/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_E30_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1567,
+    3615
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_Lift_E30_palier2p14.json b/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_Lift_E30_palier2p14.json
new file mode 100644
index 0000000..29035ab
--- /dev/null
+++ b/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_Lift_E30_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1567,
+    3615,
+    5663,
+    7711,
+    9759,
+    11807,
+    13855,
+    15903
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_post_D8_E30_palier2p14.json b/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_post_D8_E30_palier2p14.json
new file mode 100644
index 0000000..ddb143a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_post_D8_E30_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    3615,
+    5663,
+    7711,
+    11807,
+    13855,
+    15903
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E31_palier2p14/audits/verification_H6_E31_palier2p14.md b/docs/artefacts/collatz/local_E31_palier2p14/audits/verification_H6_E31_palier2p14.md
new file mode 100644
index 0000000..071e0fc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E31_palier2p14/audits/verification_H6_E31_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E31) — 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_E31_palier2p14/noyaux/noyau_E31_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_Lift_E31_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_D8_E31_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_F9to35_E31_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E31_palier2p14/candidats/candidats_D8_E31_palier2p14.csv b/docs/artefacts/collatz/local_E31_palier2p14/candidats/candidats_D8_E31_palier2p14.csv
new file mode 100644
index 0000000..084a888
--- /dev/null
+++ b/docs/artefacts/collatz/local_E31_palier2p14/candidats/candidats_D8_E31_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+3039,11231,13,14
diff --git a/docs/artefacts/collatz/local_E31_palier2p14/candidats/candidats_F9to35_E31_palier2p14.csv b/docs/artefacts/collatz/local_E31_palier2p14/candidats/candidats_F9to35_E31_palier2p14.csv
new file mode 100644
index 0000000..ceb3839
--- /dev/null
+++ b/docs/artefacts/collatz/local_E31_palier2p14/candidats/candidats_F9to35_E31_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,5087,14,9,1,14,1 1 1 1 3 1 2 1 3,27971,6113,2,9786,5,4075,31,991
+10,13279,14,10,2,17,1 1 1 1 3 1 2 1 2 4,92105,5983,1,157020,2,7977,31,991
+16,991,14,16,2,26,1 1 1 1 3 1 2 1 1 2 2 1 2 1 2 4,89045857,637,1,29139708,10,849,31,991
+16,15327,14,16,1,26,1 1 1 1 3 1 2 2 2 1 1 1 2 1 1 5,104366945,9833,2,115233150,2,6555,31,3039
+18,7135,14,18,1,28,1 1 1 1 3 1 2 2 1 1 2 1 2 1 1 2 2 3,908443241,10301,2,30465390,51,6867,31,3039
+35,9183,14,35,1,55,1 1 1 1 3 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 1,107627332771102459,12755,2,8023300858892490,23,8503,31,991
diff --git a/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_D8_E31_palier2p14.json b/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_D8_E31_palier2p14.json
new file mode 100644
index 0000000..c480443
--- /dev/null
+++ b/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_D8_E31_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    3039
+  ],
+  "covered": [
+    3039,
+    11231
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_F9to35_E31_palier2p14.json b/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_F9to35_E31_palier2p14.json
new file mode 100644
index 0000000..f00ab22
--- /dev/null
+++ b/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_F9to35_E31_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    991,
+    5087,
+    7135,
+    9183,
+    13279,
+    15327
+  ],
+  "covered": [
+    991,
+    5087,
+    7135,
+    9183,
+    13279,
+    15327
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E31_palier2p14/metadata.json b/docs/artefacts/collatz/local_E31_palier2p14/metadata.json
new file mode 100644
index 0000000..130f0db
--- /dev/null
+++ b/docs/artefacts/collatz/local_E31_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 31,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_D8_E31_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 35,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/candidats/candidats_F9to35_E31_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_F9to35_E31_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/audits/verification_H6_E31_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_E31_B12.json b/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_E31_B12.json
new file mode 100644
index 0000000..13447b4
--- /dev/null
+++ b/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_E31_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    991,
+    3039
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_Lift_E31_palier2p14.json b/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_Lift_E31_palier2p14.json
new file mode 100644
index 0000000..624c4a2
--- /dev/null
+++ b/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_Lift_E31_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    991,
+    3039,
+    5087,
+    7135,
+    9183,
+    11231,
+    13279,
+    15327
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_post_D8_E31_palier2p14.json b/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_post_D8_E31_palier2p14.json
new file mode 100644
index 0000000..8fc4f7a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_post_D8_E31_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    991,
+    5087,
+    7135,
+    9183,
+    13279,
+    15327
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E32_palier2p14/audits/verification_H6_E32_palier2p14.md b/docs/artefacts/collatz/local_E32_palier2p14/audits/verification_H6_E32_palier2p14.md
new file mode 100644
index 0000000..5fcc1b9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E32_palier2p14/audits/verification_H6_E32_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E32) — 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_E32_palier2p14/noyaux/noyau_E32_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_Lift_E32_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_D8_E32_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_F9to36_E32_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E32_palier2p14/candidats/candidats_D8_E32_palier2p14.csv b/docs/artefacts/collatz/local_E32_palier2p14/candidats/candidats_D8_E32_palier2p14.csv
new file mode 100644
index 0000000..cfff2b6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E32_palier2p14/candidats/candidats_D8_E32_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+10463,2271,13,14
diff --git a/docs/artefacts/collatz/local_E32_palier2p14/candidats/candidats_F9to36_E32_palier2p14.csv b/docs/artefacts/collatz/local_E32_palier2p14/candidats/candidats_F9to36_E32_palier2p14.csv
new file mode 100644
index 0000000..25b8e96
--- /dev/null
+++ b/docs/artefacts/collatz/local_E32_palier2p14/candidats/candidats_F9to36_E32_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,12511,14,9,2,17,1 1 1 1 3 2 1 1 6,30275,1879,1,314484,1,2505,32,223
+10,4319,14,10,1,16,1 1 1 1 3 2 1 1 2 3,99017,3893,2,78510,2,2595,32,223
+11,6367,14,11,1,22,1 1 1 1 3 2 1 2 2 1 7,372827,269,2,12228618,1,179,32,2271
+19,223,14,19,2,32,1 1 1 1 3 2 1 1 1 1 1 3 1 1 1 4 2 2 4,2808697915,61,1,8235856020,1,81,32,223
+22,8415,14,22,2,38,1 1 1 1 3 2 1 1 1 3 1 1 1 1 1 3 2 1 2 3 1 6,86051963449,961,1,699109482396,1,1281,32,223
+36,14559,14,36,1,58,1 1 1 1 3 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 5,423147069419952113,7583,2,564501857861136990,1,5055,32,2271
diff --git a/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_D8_E32_palier2p14.json b/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_D8_E32_palier2p14.json
new file mode 100644
index 0000000..5682559
--- /dev/null
+++ b/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_D8_E32_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    10463
+  ],
+  "covered": [
+    2271,
+    10463
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_F9to36_E32_palier2p14.json b/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_F9to36_E32_palier2p14.json
new file mode 100644
index 0000000..594e762
--- /dev/null
+++ b/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_F9to36_E32_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    223,
+    4319,
+    6367,
+    8415,
+    12511,
+    14559
+  ],
+  "covered": [
+    223,
+    4319,
+    6367,
+    8415,
+    12511,
+    14559
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E32_palier2p14/metadata.json b/docs/artefacts/collatz/local_E32_palier2p14/metadata.json
new file mode 100644
index 0000000..9960ccc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E32_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 32,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_D8_E32_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 36,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/candidats/candidats_F9to36_E32_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_F9to36_E32_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/audits/verification_H6_E32_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_E32_B12.json b/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_E32_B12.json
new file mode 100644
index 0000000..135799e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_E32_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    223,
+    2271
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_Lift_E32_palier2p14.json b/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_Lift_E32_palier2p14.json
new file mode 100644
index 0000000..555699c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_Lift_E32_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    223,
+    2271,
+    4319,
+    6367,
+    8415,
+    10463,
+    12511,
+    14559
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_post_D8_E32_palier2p14.json b/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_post_D8_E32_palier2p14.json
new file mode 100644
index 0000000..9951172
--- /dev/null
+++ b/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_post_D8_E32_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    223,
+    4319,
+    6367,
+    8415,
+    12511,
+    14559
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E33_palier2p14/audits/verification_H6_E33_palier2p14.md b/docs/artefacts/collatz/local_E33_palier2p14/audits/verification_H6_E33_palier2p14.md
new file mode 100644
index 0000000..70ed3bc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E33_palier2p14/audits/verification_H6_E33_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E33) — 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_E33_palier2p14/noyaux/noyau_E33_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_Lift_E33_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_D8_E33_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_F9to18_E33_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E33_palier2p14/candidats/candidats_D8_E33_palier2p14.csv b/docs/artefacts/collatz/local_E33_palier2p14/candidats/candidats_D8_E33_palier2p14.csv
new file mode 100644
index 0000000..ecd98b8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E33_palier2p14/candidats/candidats_D8_E33_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+13295,5103,13,14
diff --git a/docs/artefacts/collatz/local_E33_palier2p14/candidats/candidats_F9to18_E33_palier2p14.csv b/docs/artefacts/collatz/local_E33_palier2p14/candidats/candidats_F9to18_E33_palier2p14.csv
new file mode 100644
index 0000000..b69f5e6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E33_palier2p14/candidats/candidats_F9to18_E33_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,15343,14,9,2,15,1 1 1 2 1 1 3 1 4,26387,9217,1,19572,4,12289,33,3055
+10,9199,14,10,1,17,1 1 1 2 1 1 3 2 2 3,101689,4145,2,275118,1,2763,33,1007
+11,11247,14,11,1,17,1 1 1 2 1 1 3 1 1 4 1,315307,15203,2,38922,13,10135,33,3055
+13,1007,14,13,1,21,1 1 1 2 1 1 3 2 1 1 1 3 3,3032323,767,2,3102810,2,511,33,1007
+13,7151,14,13,2,22,1 1 1 2 1 1 3 1 2 2 2 1 4,3308803,2719,1,6205620,2,3625,33,3055
+18,3055,14,18,1,30,1 1 1 2 1 1 3 1 1 1 1 1 1 5 1 2 1 5,767637977,1103,2,2446384494,1,735,33,3055
diff --git a/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_D8_E33_palier2p14.json b/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_D8_E33_palier2p14.json
new file mode 100644
index 0000000..7a7d9a8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_D8_E33_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    13295
+  ],
+  "covered": [
+    5103,
+    13295
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_F9to18_E33_palier2p14.json b/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_F9to18_E33_palier2p14.json
new file mode 100644
index 0000000..5dcbd60
--- /dev/null
+++ b/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_F9to18_E33_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    1007,
+    3055,
+    7151,
+    9199,
+    11247,
+    15343
+  ],
+  "covered": [
+    1007,
+    3055,
+    7151,
+    9199,
+    11247,
+    15343
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E33_palier2p14/metadata.json b/docs/artefacts/collatz/local_E33_palier2p14/metadata.json
new file mode 100644
index 0000000..ad64303
--- /dev/null
+++ b/docs/artefacts/collatz/local_E33_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 33,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_D8_E33_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 18,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/candidats/candidats_F9to18_E33_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_F9to18_E33_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/audits/verification_H6_E33_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_E33_B12.json b/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_E33_B12.json
new file mode 100644
index 0000000..8d80ac0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_E33_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1007,
+    3055
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_Lift_E33_palier2p14.json b/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_Lift_E33_palier2p14.json
new file mode 100644
index 0000000..a1cab93
--- /dev/null
+++ b/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_Lift_E33_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1007,
+    3055,
+    5103,
+    7151,
+    9199,
+    11247,
+    13295,
+    15343
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_post_D8_E33_palier2p14.json b/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_post_D8_E33_palier2p14.json
new file mode 100644
index 0000000..a347c97
--- /dev/null
+++ b/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_post_D8_E33_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    1007,
+    3055,
+    7151,
+    9199,
+    11247,
+    15343
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E34_palier2p14/audits/verification_H6_E34_palier2p14.md b/docs/artefacts/collatz/local_E34_palier2p14/audits/verification_H6_E34_palier2p14.md
new file mode 100644
index 0000000..2939e35
--- /dev/null
+++ b/docs/artefacts/collatz/local_E34_palier2p14/audits/verification_H6_E34_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E34) — 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_E34_palier2p14/noyaux/noyau_E34_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_Lift_E34_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_D8_E34_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_F9to18_E34_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E34_palier2p14/candidats/candidats_D8_E34_palier2p14.csv b/docs/artefacts/collatz/local_E34_palier2p14/candidats/candidats_D8_E34_palier2p14.csv
new file mode 100644
index 0000000..159ad47
--- /dev/null
+++ b/docs/artefacts/collatz/local_E34_palier2p14/candidats/candidats_D8_E34_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+8815,623,13,14
diff --git a/docs/artefacts/collatz/local_E34_palier2p14/candidats/candidats_F9to18_E34_palier2p14.csv b/docs/artefacts/collatz/local_E34_palier2p14/candidats/candidats_F9to18_E34_palier2p14.csv
new file mode 100644
index 0000000..9114644
--- /dev/null
+++ b/docs/artefacts/collatz/local_E34_palier2p14/candidats/candidats_F9to18_E34_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,10863,14,9,1,16,1 1 1 2 1 2 2 1 5,27539,3263,2,157242,1,2175,34,2671
+10,2671,14,10,2,19,1 1 1 2 1 2 2 1 2 6,90809,301,1,1336668,1,401,34,2671
+11,6767,14,11,2,19,1 1 1 2 1 2 2 1 1 3 4,292907,2287,1,864276,1,3049,34,2671
+11,12911,14,11,2,19,1 1 1 2 1 2 2 2 1 2 4,323627,4363,1,864276,1,5817,34,623
+14,4719,14,14,2,25,1 1 1 2 1 2 2 2 2 1 1 2 1 6,11302025,673,1,81531420,1,897,34,623
+18,14959,14,18,1,28,1 1 1 2 1 2 2 1 1 1 3 1 1 3 2 1 1 3,903706457,21593,2,30465390,51,14395,34,2671
diff --git a/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_D8_E34_palier2p14.json b/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_D8_E34_palier2p14.json
new file mode 100644
index 0000000..f09f239
--- /dev/null
+++ b/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_D8_E34_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    8815
+  ],
+  "covered": [
+    623,
+    8815
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_F9to18_E34_palier2p14.json b/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_F9to18_E34_palier2p14.json
new file mode 100644
index 0000000..fce8596
--- /dev/null
+++ b/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_F9to18_E34_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    2671,
+    4719,
+    6767,
+    10863,
+    12911,
+    14959
+  ],
+  "covered": [
+    2671,
+    4719,
+    6767,
+    10863,
+    12911,
+    14959
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E34_palier2p14/metadata.json b/docs/artefacts/collatz/local_E34_palier2p14/metadata.json
new file mode 100644
index 0000000..fc453dd
--- /dev/null
+++ b/docs/artefacts/collatz/local_E34_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 34,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_D8_E34_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 18,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/candidats/candidats_F9to18_E34_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_F9to18_E34_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/audits/verification_H6_E34_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_E34_B12.json b/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_E34_B12.json
new file mode 100644
index 0000000..8d65552
--- /dev/null
+++ b/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_E34_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    623,
+    2671
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_Lift_E34_palier2p14.json b/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_Lift_E34_palier2p14.json
new file mode 100644
index 0000000..fa6d2a3
--- /dev/null
+++ b/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_Lift_E34_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    623,
+    2671,
+    4719,
+    6767,
+    8815,
+    10863,
+    12911,
+    14959
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_post_D8_E34_palier2p14.json b/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_post_D8_E34_palier2p14.json
new file mode 100644
index 0000000..5c8d8f5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_post_D8_E34_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    2671,
+    4719,
+    6767,
+    10863,
+    12911,
+    14959
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E35_palier2p14/audits/verification_H6_E35_palier2p14.md b/docs/artefacts/collatz/local_E35_palier2p14/audits/verification_H6_E35_palier2p14.md
new file mode 100644
index 0000000..b2f3442
--- /dev/null
+++ b/docs/artefacts/collatz/local_E35_palier2p14/audits/verification_H6_E35_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E35) — 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_E35_palier2p14/noyaux/noyau_E35_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_Lift_E35_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_D8_E35_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_F9to34_E35_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E35_palier2p14/candidats/candidats_D8_E35_palier2p14.csv b/docs/artefacts/collatz/local_E35_palier2p14/candidats/candidats_D8_E35_palier2p14.csv
new file mode 100644
index 0000000..e2dcb3a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E35_palier2p14/candidats/candidats_D8_E35_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+2095,10287,13,14
diff --git a/docs/artefacts/collatz/local_E35_palier2p14/candidats/candidats_F9to34_E35_palier2p14.csv b/docs/artefacts/collatz/local_E35_palier2p14/candidats/candidats_F9to34_E35_palier2p14.csv
new file mode 100644
index 0000000..d4616bc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E35_palier2p14/candidats/candidats_F9to34_E35_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,4143,14,9,1,14,1 1 1 2 2 1 2 1 3,29267,4979,2,9786,5,3319,35,47
+11,14383,14,11,2,18,1 1 1 2 2 1 2 2 2 2 2,396523,9721,1,77844,18,12961,35,2095
+14,12335,14,14,1,22,1 1 1 2 2 1 2 1 2 2 1 1 4 1,11740361,14069,2,3016974,7,9379,35,47
+15,8239,14,15,1,27,1 1 1 2 2 1 2 1 1 1 1 1 2 3 7,25173595,881,2,373955370,1,587,35,47
+18,6191,14,18,1,28,1 1 1 2 2 1 2 2 1 1 1 1 1 2 2 4 2 1,1024293785,8939,2,30465390,59,5959,35,2095
+34,47,14,34,1,55,1 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 3,44834791551842521,23,2,74732027657558766,1,15,35,47
diff --git a/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_D8_E35_palier2p14.json b/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_D8_E35_palier2p14.json
new file mode 100644
index 0000000..8e28144
--- /dev/null
+++ b/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_D8_E35_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    2095
+  ],
+  "covered": [
+    2095,
+    10287
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_F9to34_E35_palier2p14.json b/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_F9to34_E35_palier2p14.json
new file mode 100644
index 0000000..94325d7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_F9to34_E35_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    47,
+    4143,
+    6191,
+    8239,
+    12335,
+    14383
+  ],
+  "covered": [
+    47,
+    4143,
+    6191,
+    8239,
+    12335,
+    14383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E35_palier2p14/metadata.json b/docs/artefacts/collatz/local_E35_palier2p14/metadata.json
new file mode 100644
index 0000000..64e957d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E35_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 35,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_D8_E35_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 34,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/candidats/candidats_F9to34_E35_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_F9to34_E35_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/audits/verification_H6_E35_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_E35_B12.json b/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_E35_B12.json
new file mode 100644
index 0000000..bc5e839
--- /dev/null
+++ b/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_E35_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    47,
+    2095
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_Lift_E35_palier2p14.json b/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_Lift_E35_palier2p14.json
new file mode 100644
index 0000000..65b0eb2
--- /dev/null
+++ b/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_Lift_E35_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    47,
+    2095,
+    4143,
+    6191,
+    8239,
+    10287,
+    12335,
+    14383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_post_D8_E35_palier2p14.json b/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_post_D8_E35_palier2p14.json
new file mode 100644
index 0000000..06edfcd
--- /dev/null
+++ b/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_post_D8_E35_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    47,
+    4143,
+    6191,
+    8239,
+    12335,
+    14383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E36_palier2p14/audits/verification_H6_E36_palier2p14.md b/docs/artefacts/collatz/local_E36_palier2p14/audits/verification_H6_E36_palier2p14.md
new file mode 100644
index 0000000..2dcb9d6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E36_palier2p14/audits/verification_H6_E36_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E36) — 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_E36_palier2p14/noyaux/noyau_E36_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_Lift_E36_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_D8_E36_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_F9to13_E36_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E36_palier2p14/candidats/candidats_D8_E36_palier2p14.csv b/docs/artefacts/collatz/local_E36_palier2p14/candidats/candidats_D8_E36_palier2p14.csv
new file mode 100644
index 0000000..79ff4c5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E36_palier2p14/candidats/candidats_D8_E36_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+9519,1327,13,14
diff --git a/docs/artefacts/collatz/local_E36_palier2p14/candidats/candidats_F9to13_E36_palier2p14.csv b/docs/artefacts/collatz/local_E36_palier2p14/candidats/candidats_F9to13_E36_palier2p14.csv
new file mode 100644
index 0000000..56c7ef7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E36_palier2p14/candidats/candidats_F9to13_E36_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,11567,14,9,2,15,1 1 1 2 2 2 1 1 4,31571,6949,1,19572,5,9265,36,3375
+10,5423,14,10,1,19,1 1 1 2 2 2 1 2 2 5,117241,611,2,1454766,1,407,36,1327
+10,13615,14,10,1,16,1 1 1 2 2 2 1 2 1 3,109049,12269,2,78510,2,8179,36,1327
+11,3375,14,11,2,19,1 1 1 2 2 2 1 1 2 2 4,341483,1141,1,864276,1,1521,36,3375
+11,7471,14,11,1,19,1 1 1 2 2 2 1 1 1 4 3,361963,2525,2,1218570,1,1683,36,3375
+13,15663,14,13,1,21,1 1 1 2 2 2 1 1 1 1 2 3 3,3102019,11909,2,3102810,2,7939,36,3375
diff --git a/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_D8_E36_palier2p14.json b/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_D8_E36_palier2p14.json
new file mode 100644
index 0000000..a7cfe3e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_D8_E36_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    9519
+  ],
+  "covered": [
+    1327,
+    9519
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_F9to13_E36_palier2p14.json b/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_F9to13_E36_palier2p14.json
new file mode 100644
index 0000000..2d938e3
--- /dev/null
+++ b/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_F9to13_E36_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    3375,
+    5423,
+    7471,
+    11567,
+    13615,
+    15663
+  ],
+  "covered": [
+    3375,
+    5423,
+    7471,
+    11567,
+    13615,
+    15663
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E36_palier2p14/metadata.json b/docs/artefacts/collatz/local_E36_palier2p14/metadata.json
new file mode 100644
index 0000000..2837ee1
--- /dev/null
+++ b/docs/artefacts/collatz/local_E36_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 36,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_D8_E36_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 13,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/candidats/candidats_F9to13_E36_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_F9to13_E36_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/audits/verification_H6_E36_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_E36_B12.json b/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_E36_B12.json
new file mode 100644
index 0000000..a2cb5ca
--- /dev/null
+++ b/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_E36_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1327,
+    3375
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_Lift_E36_palier2p14.json b/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_Lift_E36_palier2p14.json
new file mode 100644
index 0000000..c1c326a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_Lift_E36_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1327,
+    3375,
+    5423,
+    7471,
+    9519,
+    11567,
+    13615,
+    15663
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_post_D8_E36_palier2p14.json b/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_post_D8_E36_palier2p14.json
new file mode 100644
index 0000000..371ebc4
--- /dev/null
+++ b/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_post_D8_E36_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    3375,
+    5423,
+    7471,
+    11567,
+    13615,
+    15663
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E37_palier2p14/audits/verification_H6_E37_palier2p14.md b/docs/artefacts/collatz/local_E37_palier2p14/audits/verification_H6_E37_palier2p14.md
new file mode 100644
index 0000000..3abc686
--- /dev/null
+++ b/docs/artefacts/collatz/local_E37_palier2p14/audits/verification_H6_E37_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E37) — 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_E37_palier2p14/noyaux/noyau_E37_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_Lift_E37_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_D8_E37_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_F9to23_E37_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_D8_E37_palier2p14.csv b/docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_D8_E37_palier2p14.csv
new file mode 100644
index 0000000..b62e4dc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_D8_E37_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+11879,3687,13,14
diff --git a/docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_F9to23_E37_palier2p14.csv b/docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_F9to23_E37_palier2p14.csv
new file mode 100644
index 0000000..f346bb7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_F9to23_E37_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,7783,14,9,1,17,1 1 2 1 1 1 3 2 5,30379,1169,2,353850,1,779,37,3687
+9,13927,14,9,1,14,1 1 2 1 1 1 3 1 3,28331,16733,2,9786,5,11155,37,1639
+11,9831,14,11,1,17,1 1 2 1 1 1 3 1 1 2 3,283651,13289,2,38922,12,8859,37,1639
+11,15975,14,11,1,17,1 1 2 1 1 1 3 2 1 1 3,314371,21593,2,38922,13,14395,37,3687
+15,5735,14,15,1,24,1 1 2 1 1 1 3 1 2 1 1 4 1 1 3,34817267,4907,2,21633834,3,3271,37,1639
+23,1639,14,23,1,36,1 1 2 1 1 1 3 1 1 1 2 4 1 1 1 1 1 1 2 1 1 2 5,249433081811,2249,2,17872072554,25,1499,37,1639
diff --git a/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_D8_E37_palier2p14.json b/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_D8_E37_palier2p14.json
new file mode 100644
index 0000000..8682f40
--- /dev/null
+++ b/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_D8_E37_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    11879
+  ],
+  "covered": [
+    3687,
+    11879
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_F9to23_E37_palier2p14.json b/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_F9to23_E37_palier2p14.json
new file mode 100644
index 0000000..4729016
--- /dev/null
+++ b/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_F9to23_E37_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    1639,
+    5735,
+    7783,
+    9831,
+    13927,
+    15975
+  ],
+  "covered": [
+    1639,
+    5735,
+    7783,
+    9831,
+    13927,
+    15975
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E37_palier2p14/metadata.json b/docs/artefacts/collatz/local_E37_palier2p14/metadata.json
new file mode 100644
index 0000000..8a463e6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E37_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 37,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_D8_E37_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 23,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_F9to23_E37_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_F9to23_E37_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/audits/verification_H6_E37_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_E37_B12.json b/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_E37_B12.json
new file mode 100644
index 0000000..42f4546
--- /dev/null
+++ b/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_E37_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1639,
+    3687
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_Lift_E37_palier2p14.json b/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_Lift_E37_palier2p14.json
new file mode 100644
index 0000000..80ebadd
--- /dev/null
+++ b/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_Lift_E37_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1639,
+    3687,
+    5735,
+    7783,
+    9831,
+    11879,
+    13927,
+    15975
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_post_D8_E37_palier2p14.json b/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_post_D8_E37_palier2p14.json
new file mode 100644
index 0000000..c3647dc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_post_D8_E37_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    1639,
+    5735,
+    7783,
+    9831,
+    13927,
+    15975
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E38_palier2p14/audits/verification_H6_E38_palier2p14.md b/docs/artefacts/collatz/local_E38_palier2p14/audits/verification_H6_E38_palier2p14.md
new file mode 100644
index 0000000..4b596e5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E38_palier2p14/audits/verification_H6_E38_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E38) — 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_E38_palier2p14/noyaux/noyau_E38_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_Lift_E38_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_D8_E38_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_F9to19_E38_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E38_palier2p14/candidats/candidats_D8_E38_palier2p14.csv b/docs/artefacts/collatz/local_E38_palier2p14/candidats/candidats_D8_E38_palier2p14.csv
new file mode 100644
index 0000000..b67c150
--- /dev/null
+++ b/docs/artefacts/collatz/local_E38_palier2p14/candidats/candidats_D8_E38_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+7399,15591,13,14
diff --git a/docs/artefacts/collatz/local_E38_palier2p14/candidats/candidats_F9to19_E38_palier2p14.csv b/docs/artefacts/collatz/local_E38_palier2p14/candidats/candidats_F9to19_E38_palier2p14.csv
new file mode 100644
index 0000000..80d5630
--- /dev/null
+++ b/docs/artefacts/collatz/local_E38_palier2p14/candidats/candidats_F9to19_E38_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,3303,14,9,1,15,1 1 2 1 1 2 2 2 3,31531,1985,2,58938,1,1323,38,3303
+9,9447,14,9,1,14,1 1 2 1 1 2 2 1 3,29483,11351,2,9786,5,7567,38,1255
+12,1255,14,12,2,20,1 1 2 1 1 2 2 1 2 1 2 4,984457,637,1,1019964,3,849,38,1255
+15,11495,14,15,1,24,1 1 2 1 1 2 2 2 1 1 1 2 1 1 5,29678963,9833,2,21633834,2,6555,38,3303
+18,5351,14,18,1,29,1 1 2 1 1 2 2 1 1 2 1 2 1 1 2 2 3 3,845296417,3863,2,835771758,2,2575,38,1255
+19,13543,14,19,1,31,1 1 2 1 1 2 2 1 1 1 1 1 1 1 5 2 2 2 3,2695575907,7331,2,4117928010,1,4887,38,1255
diff --git a/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_D8_E38_palier2p14.json b/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_D8_E38_palier2p14.json
new file mode 100644
index 0000000..5bb4dce
--- /dev/null
+++ b/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_D8_E38_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    7399
+  ],
+  "covered": [
+    7399,
+    15591
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_F9to19_E38_palier2p14.json b/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_F9to19_E38_palier2p14.json
new file mode 100644
index 0000000..176a5cf
--- /dev/null
+++ b/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_F9to19_E38_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    1255,
+    3303,
+    5351,
+    9447,
+    11495,
+    13543
+  ],
+  "covered": [
+    1255,
+    3303,
+    5351,
+    9447,
+    11495,
+    13543
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E38_palier2p14/metadata.json b/docs/artefacts/collatz/local_E38_palier2p14/metadata.json
new file mode 100644
index 0000000..3398bc0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E38_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 38,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_D8_E38_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 19,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/candidats/candidats_F9to19_E38_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_F9to19_E38_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/audits/verification_H6_E38_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_E38_B12.json b/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_E38_B12.json
new file mode 100644
index 0000000..3c70755
--- /dev/null
+++ b/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_E38_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1255,
+    3303
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_Lift_E38_palier2p14.json b/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_Lift_E38_palier2p14.json
new file mode 100644
index 0000000..a19f37b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_Lift_E38_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1255,
+    3303,
+    5351,
+    7399,
+    9447,
+    11495,
+    13543,
+    15591
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_post_D8_E38_palier2p14.json b/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_post_D8_E38_palier2p14.json
new file mode 100644
index 0000000..4988726
--- /dev/null
+++ b/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_post_D8_E38_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    1255,
+    3303,
+    5351,
+    9447,
+    11495,
+    13543
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E39_palier2p14/audits/verification_H6_E39_palier2p14.md b/docs/artefacts/collatz/local_E39_palier2p14/audits/verification_H6_E39_palier2p14.md
new file mode 100644
index 0000000..9eed3a0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E39_palier2p14/audits/verification_H6_E39_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E39) — 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_E39_palier2p14/noyaux/noyau_E39_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_Lift_E39_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_D8_E39_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_F9to35_E39_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E39_palier2p14/candidats/candidats_D8_E39_palier2p14.csv b/docs/artefacts/collatz/local_E39_palier2p14/candidats/candidats_D8_E39_palier2p14.csv
new file mode 100644
index 0000000..c8c4e0a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E39_palier2p14/candidats/candidats_D8_E39_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+679,8871,13,14
diff --git a/docs/artefacts/collatz/local_E39_palier2p14/candidats/candidats_F9to35_E39_palier2p14.csv b/docs/artefacts/collatz/local_E39_palier2p14/candidats/candidats_F9to35_E39_palier2p14.csv
new file mode 100644
index 0000000..f391d73
--- /dev/null
+++ b/docs/artefacts/collatz/local_E39_palier2p14/candidats/candidats_F9to35_E39_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,2727,14,9,2,15,1 1 2 1 2 1 2 1 4,31211,1639,1,19572,5,2185,39,2727
+9,12967,14,9,2,16,1 1 2 1 2 1 2 2 4,33259,3895,1,117876,1,5193,39,679
+10,4775,14,10,1,20,1 1 2 1 2 1 2 2 1 7,107969,269,2,3027630,1,179,39,679
+18,15015,14,18,2,29,1 1 2 1 2 1 2 1 1 2 2 1 1 1 4 1 1 4,951431009,10837,1,60930780,54,14449,39,2727
+23,6823,14,23,2,37,1 1 2 1 2 1 2 1 1 1 2 1 1 1 1 2 2 1 2 2 1 2 6,188198344979,4675,1,35744145108,18,6233,39,2727
+35,10919,14,35,1,56,1 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 5,118294653629737955,7583,2,116109691915784394,2,5055,39,2727
diff --git a/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_D8_E39_palier2p14.json b/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_D8_E39_palier2p14.json
new file mode 100644
index 0000000..ed42ea9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_D8_E39_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    679
+  ],
+  "covered": [
+    679,
+    8871
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_F9to35_E39_palier2p14.json b/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_F9to35_E39_palier2p14.json
new file mode 100644
index 0000000..a0d8b3b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_F9to35_E39_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    2727,
+    4775,
+    6823,
+    10919,
+    12967,
+    15015
+  ],
+  "covered": [
+    2727,
+    4775,
+    6823,
+    10919,
+    12967,
+    15015
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E39_palier2p14/metadata.json b/docs/artefacts/collatz/local_E39_palier2p14/metadata.json
new file mode 100644
index 0000000..5dcb201
--- /dev/null
+++ b/docs/artefacts/collatz/local_E39_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 39,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_D8_E39_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 35,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/candidats/candidats_F9to35_E39_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_F9to35_E39_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/audits/verification_H6_E39_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_E39_B12.json b/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_E39_B12.json
new file mode 100644
index 0000000..f8e3e80
--- /dev/null
+++ b/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_E39_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    679,
+    2727
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_Lift_E39_palier2p14.json b/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_Lift_E39_palier2p14.json
new file mode 100644
index 0000000..9f2863d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_Lift_E39_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    679,
+    2727,
+    4775,
+    6823,
+    8871,
+    10919,
+    12967,
+    15015
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_post_D8_E39_palier2p14.json b/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_post_D8_E39_palier2p14.json
new file mode 100644
index 0000000..3774e7c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_post_D8_E39_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    2727,
+    4775,
+    6823,
+    10919,
+    12967,
+    15015
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E3_palier2p14/audits/verification_H6_E3_palier2p14.md b/docs/artefacts/collatz/local_E3_palier2p14/audits/verification_H6_E3_palier2p14.md
new file mode 100644
index 0000000..070be8e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E3_palier2p14/audits/verification_H6_E3_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E3) — 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_E3_palier2p14/noyaux/noyau_E3_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_Lift_E3_palier2p14.json`
+- taille : 32
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_D8_E3_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_F9to35_E3_palier2p14.json`
+  - covered : 30 classes
+
+## Résultat
+
+- |L| = 32
+- |U| = 32
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_D8_E3_palier2p14.csv b/docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_D8_E3_palier2p14.csv
new file mode 100644
index 0000000..dc48f7b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_D8_E3_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+1983,10175,13,14
diff --git a/docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_F9to35_E3_palier2p14.csv b/docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_F9to35_E3_palier2p14.csv
new file mode 100644
index 0000000..1012524
--- /dev/null
+++ b/docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_F9to35_E3_palier2p14.csv
@@ -0,0 +1,31 @@
+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
+9,4031,14,9,1,16,1 1 1 1 1 2 1 3 5,21923,1211,2,157242,1,807,3,4031
+9,4543,14,9,1,14,1 1 1 1 1 2 1 1 5,20387,5459,2,9786,3,3639,3,447
+9,14271,14,9,1,15,1 1 1 1 1 2 1 4 3,23971,8573,2,58938,1,5715,3,1983
+9,15295,14,9,1,17,1 1 1 1 1 2 1 2 7,20899,2297,2,353850,1,1531,3,3007
+10,2495,14,10,1,16,1 1 1 1 1 2 1 1 2 5,63209,2249,2,78510,1,1499,3,2495
+10,7103,14,10,1,16,1 1 1 1 1 2 1 2 3 3,70889,6401,2,78510,1,4267,3,3007
+11,6079,14,11,1,18,1 1 1 1 1 2 1 4 1 2 3,273083,4109,2,432138,1,2739,3,1983
+11,15807,14,11,1,17,1 1 1 1 1 2 1 1 1 2 5,190651,21365,2,38922,7,14243,3,3519
+12,7615,14,12,1,22,1 1 1 1 1 2 1 1 1 2 1 9,580145,965,2,11520030,1,643,3,3519
+12,10687,14,12,1,20,1 1 1 1 1 2 1 1 2 2 2 5,626225,5417,2,2082846,1,3611,3,2495
+12,11711,14,12,1,24,1 1 1 1 1 2 1 1 1 4 1 9,641585,371,2,49268766,1,247,3,3519
+13,959,14,13,1,22,1 1 1 1 1 2 1 2 1 1 2 3 5,1965203,365,2,9394266,1,243,3,959
+13,5055,14,13,2,23,1 1 1 1 1 2 1 2 1 2 3 1 6,2149523,961,1,18788532,1,1281,3,959
+13,9151,14,13,1,22,1 1 1 1 1 2 1 2 1 1 1 6 3,2333843,3479,2,9394266,1,2319,3,959
+13,13247,14,13,1,24,1 1 1 1 1 2 1 2 1 3 1 4 5,2518163,1259,2,47143002,1,839,3,959
+14,3007,14,14,1,22,1 1 1 1 1 2 1 2 2 1 1 3 4 1,8269241,3431,2,3016974,5,2287,3,3007
+14,11199,14,14,1,22,1 1 1 1 1 2 1 2 2 3 1 1 4 1,9375161,12773,2,3016974,5,8515,3,3007
+15,3519,14,15,1,24,1 1 1 1 1 2 1 1 1 3 3 1 2 2 3,22393643,3011,2,21633834,2,2007,3,3519
+16,12735,14,16,1,27,1 1 1 1 1 2 1 1 4 2 1 1 2 1 2 5,79426945,4085,2,316559742,1,2723,3,447
+17,14783,14,17,1,27,1 1 1 1 1 2 1 1 2 1 1 2 3 1 2 1 5,168151171,14225,2,144372858,2,9483,3,2495
+19,1471,14,19,1,31,1 1 1 1 1 2 1 1 1 1 1 2 4 2 1 2 1 4 3,1857849499,797,2,4117928010,1,531,3,1471
+21,8639,14,21,1,34,1 1 1 1 1 2 1 1 3 1 1 1 2 2 1 1 2 1 1 6 3,16300456307,5261,2,30618901146,1,3507,3,447
+21,12223,14,21,2,36,1 1 1 1 1 2 1 3 2 1 2 1 3 1 2 1 1 1 2 4 4,30049005427,1861,1,164317017396,1,2481,3,4031
+22,5567,14,22,1,36,1 1 1 1 1 2 1 1 1 1 3 1 2 2 3 2 1 1 1 3 1 5,55270496345,2543,2,143396310990,1,1695,3,1471
+23,16319,14,23,1,39,1 1 1 1 1 2 1 3 1 2 1 4 1 1 1 1 2 1 1 1 1 5 5,244964539147,2795,2,1460981084010,1,1863,3,4031
+25,447,14,25,1,41,1 1 1 1 1 2 1 1 3 2 1 1 1 3 3 1 1 1 1 1 1 1 2 2 7,1693014789475,173,2,4902492547770,1,115,3,447
+27,8127,14,27,1,46,1 1 1 1 1 2 1 3 1 1 3 1 3 1 1 2 2 1 2 1 1 1 1 1 2 3 7,21632860032635,881,2,195855037563018,1,587,3,4031
+28,6591,14,28,1,44,1 1 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 3,36871888130417,8573,2,7022973223326,8,5715,3,2495
+32,13759,14,32,1,53,1 1 1 1 1 2 1 1 1 1 2 2 3 1 1 2 1 1 2 1 2 2 1 1 3 3 1 1 2 4 1 5,3676311759268033,2831,2,23315557386519294,1,1887,3,1471
+35,9663,14,35,1,55,1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 3 1 1 3 3 3 4 1 2 3 1 4 1,87664499881245787,13421,2,8023300858892490,18,8947,3,1471
diff --git a/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_D8_E3_palier2p14.json b/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_D8_E3_palier2p14.json
new file mode 100644
index 0000000..e4aadc5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_D8_E3_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    1983
+  ],
+  "covered": [
+    1983,
+    10175
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_F9to35_E3_palier2p14.json b/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_F9to35_E3_palier2p14.json
new file mode 100644
index 0000000..58aad34
--- /dev/null
+++ b/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_F9to35_E3_palier2p14.json
@@ -0,0 +1,67 @@
+{
+  "clauses": [
+    447,
+    959,
+    1471,
+    2495,
+    3007,
+    3519,
+    4031,
+    4543,
+    5055,
+    5567,
+    6079,
+    6591,
+    7103,
+    7615,
+    8127,
+    8639,
+    9151,
+    9663,
+    10687,
+    11199,
+    11711,
+    12223,
+    12735,
+    13247,
+    13759,
+    14271,
+    14783,
+    15295,
+    15807,
+    16319
+  ],
+  "covered": [
+    447,
+    959,
+    1471,
+    2495,
+    3007,
+    3519,
+    4031,
+    4543,
+    5055,
+    5567,
+    6079,
+    6591,
+    7103,
+    7615,
+    8127,
+    8639,
+    9151,
+    9663,
+    10687,
+    11199,
+    11711,
+    12223,
+    12735,
+    13247,
+    13759,
+    14271,
+    14783,
+    15295,
+    15807,
+    16319
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E3_palier2p14/metadata.json b/docs/artefacts/collatz/local_E3_palier2p14/metadata.json
new file mode 100644
index 0000000..9e79a9f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E3_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 3,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 32,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_D8_E3_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 35,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_F9to35_E3_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_F9to35_E3_palier2p14.json",
+    "clauses": 30,
+    "covered": 30
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/audits/verification_H6_E3_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_E3_B12.json b/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_E3_B12.json
new file mode 100644
index 0000000..2ca23c8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_E3_B12.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    447,
+    959,
+    1471,
+    1983,
+    2495,
+    3007,
+    3519,
+    4031
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_Lift_E3_palier2p14.json b/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_Lift_E3_palier2p14.json
new file mode 100644
index 0000000..ea815f3
--- /dev/null
+++ b/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_Lift_E3_palier2p14.json
@@ -0,0 +1,37 @@
+{
+  "noyau": [
+    447,
+    959,
+    1471,
+    1983,
+    2495,
+    3007,
+    3519,
+    4031,
+    4543,
+    5055,
+    5567,
+    6079,
+    6591,
+    7103,
+    7615,
+    8127,
+    8639,
+    9151,
+    9663,
+    10175,
+    10687,
+    11199,
+    11711,
+    12223,
+    12735,
+    13247,
+    13759,
+    14271,
+    14783,
+    15295,
+    15807,
+    16319
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_post_D8_E3_palier2p14.json b/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_post_D8_E3_palier2p14.json
new file mode 100644
index 0000000..a7ee745
--- /dev/null
+++ b/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_post_D8_E3_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "noyau": [
+    447,
+    959,
+    1471,
+    2495,
+    3007,
+    3519,
+    4031,
+    4543,
+    5055,
+    5567,
+    6079,
+    6591,
+    7103,
+    7615,
+    8127,
+    8639,
+    9151,
+    9663,
+    10687,
+    11199,
+    11711,
+    12223,
+    12735,
+    13247,
+    13759,
+    14271,
+    14783,
+    15295,
+    15807,
+    16319
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E40_palier2p14/audits/verification_H6_E40_palier2p14.md b/docs/artefacts/collatz/local_E40_palier2p14/audits/verification_H6_E40_palier2p14.md
new file mode 100644
index 0000000..defc533
--- /dev/null
+++ b/docs/artefacts/collatz/local_E40_palier2p14/audits/verification_H6_E40_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E40) — 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_E40_palier2p14/noyaux/noyau_E40_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_Lift_E40_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_D8_E40_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_F9to16_E40_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E40_palier2p14/candidats/candidats_D8_E40_palier2p14.csv b/docs/artefacts/collatz/local_E40_palier2p14/candidats/candidats_D8_E40_palier2p14.csv
new file mode 100644
index 0000000..9200bdc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E40_palier2p14/candidats/candidats_D8_E40_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+8103,16295,13,14
diff --git a/docs/artefacts/collatz/local_E40_palier2p14/candidats/candidats_F9to16_E40_palier2p14.csv b/docs/artefacts/collatz/local_E40_palier2p14/candidats/candidats_F9to16_E40_palier2p14.csv
new file mode 100644
index 0000000..345a539
--- /dev/null
+++ b/docs/artefacts/collatz/local_E40_palier2p14/candidats/candidats_F9to16_E40_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,4007,14,9,2,18,1 1 2 1 2 2 1 2 6,35563,301,1,707700,1,401,40,4007
+9,10151,14,9,1,14,1 1 2 1 2 2 1 1 3,33515,12197,2,9786,6,8131,40,1959
+11,6055,14,11,2,18,1 1 2 1 2 2 1 1 1 2 4,330307,4093,1,77844,14,5457,40,1959
+11,12199,14,11,2,18,1 1 2 1 2 2 1 2 1 1 4,361027,8245,1,77844,16,10993,40,4007
+16,1959,14,16,1,27,1 1 2 1 2 2 1 1 2 1 1 2 1 1 1 7,94424473,629,2,316559742,1,419,40,1959
+16,14247,14,16,1,25,1 1 2 1 2 2 1 1 1 1 1 3 3 2 2 1,121937305,18281,2,14569854,15,12187,40,1959
diff --git a/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_D8_E40_palier2p14.json b/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_D8_E40_palier2p14.json
new file mode 100644
index 0000000..f9d974d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_D8_E40_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    8103
+  ],
+  "covered": [
+    8103,
+    16295
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_F9to16_E40_palier2p14.json b/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_F9to16_E40_palier2p14.json
new file mode 100644
index 0000000..2b8984d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_F9to16_E40_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    1959,
+    4007,
+    6055,
+    10151,
+    12199,
+    14247
+  ],
+  "covered": [
+    1959,
+    4007,
+    6055,
+    10151,
+    12199,
+    14247
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E40_palier2p14/metadata.json b/docs/artefacts/collatz/local_E40_palier2p14/metadata.json
new file mode 100644
index 0000000..92475ce
--- /dev/null
+++ b/docs/artefacts/collatz/local_E40_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 40,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_D8_E40_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 16,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/candidats/candidats_F9to16_E40_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_F9to16_E40_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/audits/verification_H6_E40_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_E40_B12.json b/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_E40_B12.json
new file mode 100644
index 0000000..6770874
--- /dev/null
+++ b/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_E40_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1959,
+    4007
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_Lift_E40_palier2p14.json b/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_Lift_E40_palier2p14.json
new file mode 100644
index 0000000..383b3ae
--- /dev/null
+++ b/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_Lift_E40_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1959,
+    4007,
+    6055,
+    8103,
+    10151,
+    12199,
+    14247,
+    16295
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_post_D8_E40_palier2p14.json b/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_post_D8_E40_palier2p14.json
new file mode 100644
index 0000000..404a249
--- /dev/null
+++ b/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_post_D8_E40_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    1959,
+    4007,
+    6055,
+    10151,
+    12199,
+    14247
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E41_palier2p14/audits/verification_H6_E41_palier2p14.md b/docs/artefacts/collatz/local_E41_palier2p14/audits/verification_H6_E41_palier2p14.md
new file mode 100644
index 0000000..114a454
--- /dev/null
+++ b/docs/artefacts/collatz/local_E41_palier2p14/audits/verification_H6_E41_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E41) — 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_E41_palier2p14/noyaux/noyau_E41_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_Lift_E41_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_D8_E41_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_F9to14_E41_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E41_palier2p14/candidats/candidats_D8_E41_palier2p14.csv b/docs/artefacts/collatz/local_E41_palier2p14/candidats/candidats_D8_E41_palier2p14.csv
new file mode 100644
index 0000000..3e50c7c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E41_palier2p14/candidats/candidats_D8_E41_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+15175,6983,13,14
diff --git a/docs/artefacts/collatz/local_E41_palier2p14/candidats/candidats_F9to14_E41_palier2p14.csv b/docs/artefacts/collatz/local_E41_palier2p14/candidats/candidats_F9to14_E41_palier2p14.csv
new file mode 100644
index 0000000..61eaa2b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E41_palier2p14/candidats/candidats_F9to14_E41_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,839,14,9,2,15,1 1 2 2 1 1 2 1 4,33803,505,1,19572,6,673,41,839
+9,11079,14,9,2,24,1 1 2 2 1 1 2 2 12,35851,13,1,50252916,1,17,41,2887
+10,2887,14,10,1,16,1 1 2 2 1 1 2 2 1 3,115745,2603,2,78510,3,1735,41,2887
+11,13127,14,11,1,21,1 1 2 2 1 1 2 1 1 2 7,332899,1109,2,5937162,1,739,41,839
+14,4935,14,14,2,23,1 1 2 2 1 1 2 1 1 1 2 2 2 4,9979505,2815,1,6033948,6,3753,41,839
+14,9031,14,14,1,22,1 1 2 2 1 1 2 1 2 1 1 2 2 3,10532465,10301,2,3016974,6,6867,41,839
diff --git a/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_D8_E41_palier2p14.json b/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_D8_E41_palier2p14.json
new file mode 100644
index 0000000..58cc635
--- /dev/null
+++ b/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_D8_E41_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    15175
+  ],
+  "covered": [
+    6983,
+    15175
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_F9to14_E41_palier2p14.json b/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_F9to14_E41_palier2p14.json
new file mode 100644
index 0000000..f84df6e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_F9to14_E41_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    839,
+    2887,
+    4935,
+    9031,
+    11079,
+    13127
+  ],
+  "covered": [
+    839,
+    2887,
+    4935,
+    9031,
+    11079,
+    13127
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E41_palier2p14/metadata.json b/docs/artefacts/collatz/local_E41_palier2p14/metadata.json
new file mode 100644
index 0000000..4e51d10
--- /dev/null
+++ b/docs/artefacts/collatz/local_E41_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 41,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_D8_E41_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 14,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/candidats/candidats_F9to14_E41_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_F9to14_E41_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/audits/verification_H6_E41_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_E41_B12.json b/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_E41_B12.json
new file mode 100644
index 0000000..e6d3028
--- /dev/null
+++ b/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_E41_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    839,
+    2887
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_Lift_E41_palier2p14.json b/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_Lift_E41_palier2p14.json
new file mode 100644
index 0000000..2f0205c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_Lift_E41_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    839,
+    2887,
+    4935,
+    6983,
+    9031,
+    11079,
+    13127,
+    15175
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_post_D8_E41_palier2p14.json b/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_post_D8_E41_palier2p14.json
new file mode 100644
index 0000000..cde9eab
--- /dev/null
+++ b/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_post_D8_E41_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    839,
+    2887,
+    4935,
+    9031,
+    11079,
+    13127
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E42_palier2p14/audits/verification_H6_E42_palier2p14.md b/docs/artefacts/collatz/local_E42_palier2p14/audits/verification_H6_E42_palier2p14.md
new file mode 100644
index 0000000..f07bcda
--- /dev/null
+++ b/docs/artefacts/collatz/local_E42_palier2p14/audits/verification_H6_E42_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E42) — 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_E42_palier2p14/noyaux/noyau_E42_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_Lift_E42_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_D8_E42_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_F9to33_E42_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E42_palier2p14/candidats/candidats_D8_E42_palier2p14.csv b/docs/artefacts/collatz/local_E42_palier2p14/candidats/candidats_D8_E42_palier2p14.csv
new file mode 100644
index 0000000..cff1220
--- /dev/null
+++ b/docs/artefacts/collatz/local_E42_palier2p14/candidats/candidats_D8_E42_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+6215,14407,13,14
diff --git a/docs/artefacts/collatz/local_E42_palier2p14/candidats/candidats_F9to33_E42_palier2p14.csv b/docs/artefacts/collatz/local_E42_palier2p14/candidats/candidats_F9to33_E42_palier2p14.csv
new file mode 100644
index 0000000..e5cfac0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E42_palier2p14/candidats/candidats_F9to33_E42_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,2119,14,9,2,16,1 1 2 2 1 2 1 2 4,38155,637,1,117876,1,849,42,2119
+9,8263,14,9,1,14,1 1 2 2 1 2 1 1 3,36107,9929,2,9786,6,6619,42,71
+12,4167,14,12,2,20,1 1 2 2 1 2 1 1 1 2 2 4,1126441,2113,1,1019964,4,2817,42,71
+12,10311,14,12,2,20,1 1 2 2 1 2 1 2 1 1 2 4,1218601,5227,1,1019964,4,6969,42,2119
+14,12359,14,14,1,26,1 1 2 2 1 2 1 1 1 1 1 2 3 7,10195313,881,2,191760654,1,587,42,71
+33,71,14,33,1,54,1 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 3,19637865492643499,23,2,42925074395334906,1,15,42,71
diff --git a/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_D8_E42_palier2p14.json b/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_D8_E42_palier2p14.json
new file mode 100644
index 0000000..600b87f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_D8_E42_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    6215
+  ],
+  "covered": [
+    6215,
+    14407
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_F9to33_E42_palier2p14.json b/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_F9to33_E42_palier2p14.json
new file mode 100644
index 0000000..44ed64b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_F9to33_E42_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    71,
+    2119,
+    4167,
+    8263,
+    10311,
+    12359
+  ],
+  "covered": [
+    71,
+    2119,
+    4167,
+    8263,
+    10311,
+    12359
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E42_palier2p14/metadata.json b/docs/artefacts/collatz/local_E42_palier2p14/metadata.json
new file mode 100644
index 0000000..8bf415c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E42_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 42,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_D8_E42_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 33,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/candidats/candidats_F9to33_E42_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_F9to33_E42_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/audits/verification_H6_E42_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_E42_B12.json b/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_E42_B12.json
new file mode 100644
index 0000000..f175436
--- /dev/null
+++ b/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_E42_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    71,
+    2119
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_Lift_E42_palier2p14.json b/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_Lift_E42_palier2p14.json
new file mode 100644
index 0000000..5eb423b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_Lift_E42_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    71,
+    2119,
+    4167,
+    6215,
+    8263,
+    10311,
+    12359,
+    14407
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_post_D8_E42_palier2p14.json b/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_post_D8_E42_palier2p14.json
new file mode 100644
index 0000000..5fcf5d1
--- /dev/null
+++ b/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_post_D8_E42_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    71,
+    2119,
+    4167,
+    8263,
+    10311,
+    12359
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E43_palier2p14/audits/verification_H6_E43_palier2p14.md b/docs/artefacts/collatz/local_E43_palier2p14/audits/verification_H6_E43_palier2p14.md
new file mode 100644
index 0000000..a43769a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E43_palier2p14/audits/verification_H6_E43_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E43) — 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_E43_palier2p14/noyaux/noyau_E43_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_Lift_E43_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_D8_E43_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_F9to21_E43_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E43_palier2p14/candidats/candidats_D8_E43_palier2p14.csv b/docs/artefacts/collatz/local_E43_palier2p14/candidats/candidats_D8_E43_palier2p14.csv
new file mode 100644
index 0000000..0796ec7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E43_palier2p14/candidats/candidats_D8_E43_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+1563,9755,13,14
diff --git a/docs/artefacts/collatz/local_E43_palier2p14/candidats/candidats_F9to21_E43_palier2p14.csv b/docs/artefacts/collatz/local_E43_palier2p14/candidats/candidats_F9to21_E43_palier2p14.csv
new file mode 100644
index 0000000..aa92033
--- /dev/null
+++ b/docs/artefacts/collatz/local_E43_palier2p14/candidats/candidats_F9to21_E43_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,3611,14,9,1,16,1 2 1 1 1 1 3 1 5,31247,1085,2,157242,1,723,43,3611
+9,13851,14,9,1,15,1 2 1 1 1 1 3 2 3,33295,8321,2,58938,1,5547,43,1563
+12,7707,14,12,2,20,1 2 1 1 1 1 3 1 1 1 3 4,970645,3907,1,1019964,3,5209,43,3611
+12,11803,14,12,2,20,1 2 1 1 1 1 3 1 2 1 2 4,1032085,5983,1,1019964,4,7977,43,3611
+13,5659,14,13,1,25,1 2 1 1 1 1 3 2 1 2 2 1 7,3868351,269,2,97474650,1,179,43,1563
+21,15899,14,21,1,35,1 2 1 1 1 1 3 1 1 2 1 2 1 1 4 1 1 1 1 1 7,26337864991,4841,2,82158508698,1,3227,43,3611
diff --git a/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_D8_E43_palier2p14.json b/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_D8_E43_palier2p14.json
new file mode 100644
index 0000000..2e7bb83
--- /dev/null
+++ b/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_D8_E43_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    1563
+  ],
+  "covered": [
+    1563,
+    9755
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_F9to21_E43_palier2p14.json b/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_F9to21_E43_palier2p14.json
new file mode 100644
index 0000000..2e83045
--- /dev/null
+++ b/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_F9to21_E43_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    3611,
+    5659,
+    7707,
+    11803,
+    13851,
+    15899
+  ],
+  "covered": [
+    3611,
+    5659,
+    7707,
+    11803,
+    13851,
+    15899
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E43_palier2p14/metadata.json b/docs/artefacts/collatz/local_E43_palier2p14/metadata.json
new file mode 100644
index 0000000..4b686d6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E43_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 43,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_D8_E43_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 21,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/candidats/candidats_F9to21_E43_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_F9to21_E43_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/audits/verification_H6_E43_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_E43_B12.json b/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_E43_B12.json
new file mode 100644
index 0000000..176849c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_E43_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1563,
+    3611
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_Lift_E43_palier2p14.json b/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_Lift_E43_palier2p14.json
new file mode 100644
index 0000000..68a30eb
--- /dev/null
+++ b/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_Lift_E43_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1563,
+    3611,
+    5659,
+    7707,
+    9755,
+    11803,
+    13851,
+    15899
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_post_D8_E43_palier2p14.json b/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_post_D8_E43_palier2p14.json
new file mode 100644
index 0000000..2975b90
--- /dev/null
+++ b/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_post_D8_E43_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    3611,
+    5659,
+    7707,
+    11803,
+    13851,
+    15899
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E44_palier2p14/audits/verification_H6_E44_palier2p14.md b/docs/artefacts/collatz/local_E44_palier2p14/audits/verification_H6_E44_palier2p14.md
new file mode 100644
index 0000000..939bb1e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E44_palier2p14/audits/verification_H6_E44_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E44) — 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_E44_palier2p14/noyaux/noyau_E44_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_Lift_E44_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_D8_E44_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_F9to25_E44_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E44_palier2p14/candidats/candidats_D8_E44_palier2p14.csv b/docs/artefacts/collatz/local_E44_palier2p14/candidats/candidats_D8_E44_palier2p14.csv
new file mode 100644
index 0000000..00ce5ce
--- /dev/null
+++ b/docs/artefacts/collatz/local_E44_palier2p14/candidats/candidats_D8_E44_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+13467,5275,13,14
diff --git a/docs/artefacts/collatz/local_E44_palier2p14/candidats/candidats_F9to25_E44_palier2p14.csv b/docs/artefacts/collatz/local_E44_palier2p14/candidats/candidats_F9to25_E44_palier2p14.csv
new file mode 100644
index 0000000..d2ff7da
--- /dev/null
+++ b/docs/artefacts/collatz/local_E44_palier2p14/candidats/candidats_F9to25_E44_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,9371,14,9,2,16,1 2 1 1 1 2 2 2 4,34447,2815,1,117876,1,3753,44,1179
+9,15515,14,9,1,14,1 2 1 1 1 2 2 1 3,32399,18641,2,9786,5,12427,44,3227
+10,1179,14,10,2,19,1 2 1 1 1 2 2 2 1 6,111533,133,1,1336668,1,177,44,1179
+14,11419,14,14,1,27,1 2 1 1 1 2 2 1 1 2 2 1 1 9,9892285,407,2,393087246,1,271,44,3227
+17,7323,14,17,1,30,1 2 1 1 1 2 2 1 2 1 1 1 1 1 2 3 7,273133295,881,2,2962945146,1,587,44,3227
+25,3227,14,25,1,40,1 2 1 1 1 2 2 1 1 1 2 1 1 1 2 2 1 3 2 3 1 2 1 2 3,2484098861903,2489,2,1603957664442,3,1659,44,3227
diff --git a/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_D8_E44_palier2p14.json b/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_D8_E44_palier2p14.json
new file mode 100644
index 0000000..492137f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_D8_E44_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    13467
+  ],
+  "covered": [
+    5275,
+    13467
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_F9to25_E44_palier2p14.json b/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_F9to25_E44_palier2p14.json
new file mode 100644
index 0000000..08e31ef
--- /dev/null
+++ b/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_F9to25_E44_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    1179,
+    3227,
+    7323,
+    9371,
+    11419,
+    15515
+  ],
+  "covered": [
+    1179,
+    3227,
+    7323,
+    9371,
+    11419,
+    15515
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E44_palier2p14/metadata.json b/docs/artefacts/collatz/local_E44_palier2p14/metadata.json
new file mode 100644
index 0000000..6be9a79
--- /dev/null
+++ b/docs/artefacts/collatz/local_E44_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 44,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_D8_E44_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 25,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/candidats/candidats_F9to25_E44_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_F9to25_E44_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/audits/verification_H6_E44_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_E44_B12.json b/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_E44_B12.json
new file mode 100644
index 0000000..c6ef8ac
--- /dev/null
+++ b/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_E44_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1179,
+    3227
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_Lift_E44_palier2p14.json b/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_Lift_E44_palier2p14.json
new file mode 100644
index 0000000..7467995
--- /dev/null
+++ b/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_Lift_E44_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1179,
+    3227,
+    5275,
+    7323,
+    9371,
+    11419,
+    13467,
+    15515
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_post_D8_E44_palier2p14.json b/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_post_D8_E44_palier2p14.json
new file mode 100644
index 0000000..1e77266
--- /dev/null
+++ b/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_post_D8_E44_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    1179,
+    3227,
+    7323,
+    9371,
+    11419,
+    15515
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E45_palier2p14/audits/verification_H6_E45_palier2p14.md b/docs/artefacts/collatz/local_E45_palier2p14/audits/verification_H6_E45_palier2p14.md
new file mode 100644
index 0000000..5d678c9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E45_palier2p14/audits/verification_H6_E45_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E45) — 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_E45_palier2p14/noyaux/noyau_E45_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_Lift_E45_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_D8_E45_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_F9to14_E45_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E45_palier2p14/candidats/candidats_D8_E45_palier2p14.csv b/docs/artefacts/collatz/local_E45_palier2p14/candidats/candidats_D8_E45_palier2p14.csv
new file mode 100644
index 0000000..e473150
--- /dev/null
+++ b/docs/artefacts/collatz/local_E45_palier2p14/candidats/candidats_D8_E45_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+6747,14939,13,14
diff --git a/docs/artefacts/collatz/local_E45_palier2p14/candidats/candidats_F9to14_E45_palier2p14.csv b/docs/artefacts/collatz/local_E45_palier2p14/candidats/candidats_F9to14_E45_palier2p14.csv
new file mode 100644
index 0000000..57587d8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E45_palier2p14/candidats/candidats_F9to14_E45_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,8795,14,9,2,17,1 2 1 1 2 1 2 1 6,34127,1321,1,314484,1,1761,45,603
+10,603,14,10,1,16,1 2 1 1 2 1 2 1 2 3,110573,545,2,78510,2,363,45,603
+11,2651,14,11,1,18,1 2 1 1 2 1 2 2 2 1 3,407495,1793,2,432138,2,1195,45,2651
+13,4699,14,13,1,22,1 2 1 1 2 1 2 1 1 3 1 1 5,3497471,1787,2,9394266,1,1191,45,603
+13,12891,14,13,1,22,1 2 1 1 2 1 2 1 1 1 4 2 3,3866111,4901,2,9394266,1,3267,45,603
+14,10843,14,14,1,26,1 2 1 1 2 1 2 2 1 2 1 1 4 5,13419005,773,2,191760654,1,515,45,2651
diff --git a/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_D8_E45_palier2p14.json b/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_D8_E45_palier2p14.json
new file mode 100644
index 0000000..0d17e6a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_D8_E45_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    6747
+  ],
+  "covered": [
+    6747,
+    14939
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_F9to14_E45_palier2p14.json b/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_F9to14_E45_palier2p14.json
new file mode 100644
index 0000000..245d069
--- /dev/null
+++ b/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_F9to14_E45_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    603,
+    2651,
+    4699,
+    8795,
+    10843,
+    12891
+  ],
+  "covered": [
+    603,
+    2651,
+    4699,
+    8795,
+    10843,
+    12891
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E45_palier2p14/metadata.json b/docs/artefacts/collatz/local_E45_palier2p14/metadata.json
new file mode 100644
index 0000000..bfac5d3
--- /dev/null
+++ b/docs/artefacts/collatz/local_E45_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 45,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_D8_E45_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 14,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/candidats/candidats_F9to14_E45_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_F9to14_E45_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/audits/verification_H6_E45_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_E45_B12.json b/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_E45_B12.json
new file mode 100644
index 0000000..74de5ef
--- /dev/null
+++ b/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_E45_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    603,
+    2651
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_Lift_E45_palier2p14.json b/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_Lift_E45_palier2p14.json
new file mode 100644
index 0000000..ee5fc0c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_Lift_E45_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    603,
+    2651,
+    4699,
+    6747,
+    8795,
+    10843,
+    12891,
+    14939
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_post_D8_E45_palier2p14.json b/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_post_D8_E45_palier2p14.json
new file mode 100644
index 0000000..9d21ee9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_post_D8_E45_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    603,
+    2651,
+    4699,
+    8795,
+    10843,
+    12891
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E46_palier2p14/audits/verification_H6_E46_palier2p14.md b/docs/artefacts/collatz/local_E46_palier2p14/audits/verification_H6_E46_palier2p14.md
new file mode 100644
index 0000000..3fa7ecc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E46_palier2p14/audits/verification_H6_E46_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E46) — 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_E46_palier2p14/noyaux/noyau_E46_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_Lift_E46_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_D8_E46_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_F9to16_E46_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_D8_E46_palier2p14.csv b/docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_D8_E46_palier2p14.csv
new file mode 100644
index 0000000..bb20db5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_D8_E46_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+14171,5979,13,14
diff --git a/docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_F9to16_E46_palier2p14.csv b/docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_F9to16_E46_palier2p14.csv
new file mode 100644
index 0000000..8328b84
--- /dev/null
+++ b/docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_F9to16_E46_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,10075,14,9,1,15,1 2 1 1 2 2 1 2 3,38479,6053,2,58938,1,4035,46,1883
+9,16219,14,9,1,14,1 2 1 1 2 2 1 1 3,36431,19487,2,9786,6,12991,46,3931
+11,1883,14,11,2,19,1 2 1 1 2 2 1 2 1 2 4,403655,637,1,864276,2,849,46,1883
+13,12123,14,13,2,22,1 2 1 1 2 2 1 1 1 2 1 3 4,3569407,4609,1,6205620,2,6145,46,3931
+15,3931,14,15,2,26,1 2 1 1 2 2 1 1 1 1 3 1 1 2 6,33001207,841,1,143930964,1,1121,46,3931
+16,8027,14,16,1,25,1 2 1 1 2 2 1 1 2 1 2 1 1 2 2 3,108174565,10301,2,14569854,13,6867,46,3931
diff --git a/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_D8_E46_palier2p14.json b/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_D8_E46_palier2p14.json
new file mode 100644
index 0000000..c19eb1b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_D8_E46_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    14171
+  ],
+  "covered": [
+    5979,
+    14171
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_F9to16_E46_palier2p14.json b/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_F9to16_E46_palier2p14.json
new file mode 100644
index 0000000..70cf3e3
--- /dev/null
+++ b/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_F9to16_E46_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    1883,
+    3931,
+    8027,
+    10075,
+    12123,
+    16219
+  ],
+  "covered": [
+    1883,
+    3931,
+    8027,
+    10075,
+    12123,
+    16219
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E46_palier2p14/metadata.json b/docs/artefacts/collatz/local_E46_palier2p14/metadata.json
new file mode 100644
index 0000000..c01dfa7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E46_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 46,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_D8_E46_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 16,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_F9to16_E46_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_F9to16_E46_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/audits/verification_H6_E46_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_E46_B12.json b/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_E46_B12.json
new file mode 100644
index 0000000..04c0322
--- /dev/null
+++ b/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_E46_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1883,
+    3931
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_Lift_E46_palier2p14.json b/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_Lift_E46_palier2p14.json
new file mode 100644
index 0000000..4801a01
--- /dev/null
+++ b/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_Lift_E46_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    1883,
+    3931,
+    5979,
+    8027,
+    10075,
+    12123,
+    14171,
+    16219
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_post_D8_E46_palier2p14.json b/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_post_D8_E46_palier2p14.json
new file mode 100644
index 0000000..055a7d6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_post_D8_E46_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    1883,
+    3931,
+    8027,
+    10075,
+    12123,
+    16219
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E47_palier2p14/audits/verification_H6_E47_palier2p14.md b/docs/artefacts/collatz/local_E47_palier2p14/audits/verification_H6_E47_palier2p14.md
new file mode 100644
index 0000000..de7f5a1
--- /dev/null
+++ b/docs/artefacts/collatz/local_E47_palier2p14/audits/verification_H6_E47_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E47) — 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_E47_palier2p14/noyaux/noyau_E47_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_Lift_E47_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_D8_E47_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_F9to15_E47_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E47_palier2p14/candidats/candidats_D8_E47_palier2p14.csv b/docs/artefacts/collatz/local_E47_palier2p14/candidats/candidats_D8_E47_palier2p14.csv
new file mode 100644
index 0000000..4467def
--- /dev/null
+++ b/docs/artefacts/collatz/local_E47_palier2p14/candidats/candidats_D8_E47_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+4859,13051,13,14
diff --git a/docs/artefacts/collatz/local_E47_palier2p14/candidats/candidats_F9to15_E47_palier2p14.csv b/docs/artefacts/collatz/local_E47_palier2p14/candidats/candidats_F9to15_E47_palier2p14.csv
new file mode 100644
index 0000000..462d1d1
--- /dev/null
+++ b/docs/artefacts/collatz/local_E47_palier2p14/candidats/candidats_F9to15_E47_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,6907,14,9,1,16,1 2 1 2 1 1 2 1 5,36719,2075,2,157242,1,1383,47,2811
+11,2811,14,11,1,18,1 2 1 2 1 1 2 1 1 3 3,375527,1901,2,432138,2,1267,47,2811
+11,8955,14,11,1,18,1 2 1 2 1 1 2 2 1 2 3,406247,6053,2,432138,2,4035,47,763
+12,763,14,12,2,22,1 2 1 2 1 1 2 2 2 1 1 6,1358005,97,1,10457148,1,129,47,763
+14,11003,14,14,1,23,1 2 1 2 1 1 2 1 1 1 3 1 3 3,11507293,6275,2,15599886,1,4183,47,2811
+15,15099,14,15,2,26,1 2 1 2 1 1 2 1 2 1 2 1 3 2 4,40375063,3229,1,143930964,1,4305,47,2811
diff --git a/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_D8_E47_palier2p14.json b/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_D8_E47_palier2p14.json
new file mode 100644
index 0000000..9507f86
--- /dev/null
+++ b/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_D8_E47_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    4859
+  ],
+  "covered": [
+    4859,
+    13051
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_F9to15_E47_palier2p14.json b/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_F9to15_E47_palier2p14.json
new file mode 100644
index 0000000..11686b8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_F9to15_E47_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    763,
+    2811,
+    6907,
+    8955,
+    11003,
+    15099
+  ],
+  "covered": [
+    763,
+    2811,
+    6907,
+    8955,
+    11003,
+    15099
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E47_palier2p14/metadata.json b/docs/artefacts/collatz/local_E47_palier2p14/metadata.json
new file mode 100644
index 0000000..fa5991d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E47_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 47,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_D8_E47_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 15,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/candidats/candidats_F9to15_E47_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_F9to15_E47_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/audits/verification_H6_E47_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_E47_B12.json b/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_E47_B12.json
new file mode 100644
index 0000000..2201329
--- /dev/null
+++ b/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_E47_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    763,
+    2811
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_Lift_E47_palier2p14.json b/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_Lift_E47_palier2p14.json
new file mode 100644
index 0000000..cce5052
--- /dev/null
+++ b/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_Lift_E47_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    763,
+    2811,
+    4859,
+    6907,
+    8955,
+    11003,
+    13051,
+    15099
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_post_D8_E47_palier2p14.json b/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_post_D8_E47_palier2p14.json
new file mode 100644
index 0000000..2454451
--- /dev/null
+++ b/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_post_D8_E47_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    763,
+    2811,
+    6907,
+    8955,
+    11003,
+    15099
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E48_palier2p14/audits/verification_H6_E48_palier2p14.md b/docs/artefacts/collatz/local_E48_palier2p14/audits/verification_H6_E48_palier2p14.md
new file mode 100644
index 0000000..35b1dd2
--- /dev/null
+++ b/docs/artefacts/collatz/local_E48_palier2p14/audits/verification_H6_E48_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E48) — 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_E48_palier2p14/noyaux/noyau_E48_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_Lift_E48_palier2p14.json`
+- taille : 8
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_D8_E48_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_F9to34_E48_palier2p14.json`
+  - covered : 6 classes
+
+## Résultat
+
+- |L| = 8
+- |U| = 8
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_D8_E48_palier2p14.csv b/docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_D8_E48_palier2p14.csv
new file mode 100644
index 0000000..b652b32
--- /dev/null
+++ b/docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_D8_E48_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+12283,4091,13,14
diff --git a/docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_F9to34_E48_palier2p14.csv b/docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_F9to34_E48_palier2p14.csv
new file mode 100644
index 0000000..a6b3391
--- /dev/null
+++ b/docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_F9to34_E48_palier2p14.csv
@@ -0,0 +1,7 @@
+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
+9,8187,14,9,1,15,1 2 1 2 1 2 1 2 3,41071,4919,2,58938,1,3279,48,4091
+9,14331,14,9,1,14,1 2 1 2 1 2 1 1 3,39023,17219,2,9786,7,11479,48,2043
+11,2043,14,11,2,19,1 2 1 2 1 2 1 1 1 1 6,371687,691,1,864276,2,921,48,2043
+11,6139,14,11,1,19,1 2 1 2 1 2 1 1 2 1 5,392167,2075,2,1218570,1,1383,48,2043
+22,10235,14,22,2,36,1 2 1 2 1 2 1 1 1 2 1 1 1 1 2 2 1 2 2 1 2 6,78408642685,4675,1,80634191772,4,6233,48,2043
+34,16379,14,34,1,55,1 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 5,50808735965035693,7583,2,74732027657558766,1,5055,48,4091
diff --git a/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_D8_E48_palier2p14.json b/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_D8_E48_palier2p14.json
new file mode 100644
index 0000000..665270e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_D8_E48_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    12283
+  ],
+  "covered": [
+    4091,
+    12283
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_F9to34_E48_palier2p14.json b/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_F9to34_E48_palier2p14.json
new file mode 100644
index 0000000..d727d49
--- /dev/null
+++ b/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_F9to34_E48_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "clauses": [
+    2043,
+    6139,
+    8187,
+    10235,
+    14331,
+    16379
+  ],
+  "covered": [
+    2043,
+    6139,
+    8187,
+    10235,
+    14331,
+    16379
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E48_palier2p14/metadata.json b/docs/artefacts/collatz/local_E48_palier2p14/metadata.json
new file mode 100644
index 0000000..24604d8
--- /dev/null
+++ b/docs/artefacts/collatz/local_E48_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 48,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 8,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_D8_E48_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 34,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_F9to34_E48_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_F9to34_E48_palier2p14.json",
+    "clauses": 6,
+    "covered": 6
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/audits/verification_H6_E48_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_E48_B12.json b/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_E48_B12.json
new file mode 100644
index 0000000..835e309
--- /dev/null
+++ b/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_E48_B12.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    2043,
+    4091
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_Lift_E48_palier2p14.json b/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_Lift_E48_palier2p14.json
new file mode 100644
index 0000000..03598ca
--- /dev/null
+++ b/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_Lift_E48_palier2p14.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    2043,
+    4091,
+    6139,
+    8187,
+    10235,
+    12283,
+    14331,
+    16379
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_post_D8_E48_palier2p14.json b/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_post_D8_E48_palier2p14.json
new file mode 100644
index 0000000..1faab7f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_post_D8_E48_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "noyau": [
+    2043,
+    6139,
+    8187,
+    10235,
+    14331,
+    16379
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E49_palier2p14/audits/verification_H6_E49_palier2p14.md b/docs/artefacts/collatz/local_E49_palier2p14/audits/verification_H6_E49_palier2p14.md
new file mode 100644
index 0000000..2d3806f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E49_palier2p14/audits/verification_H6_E49_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E49) — 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_E49_palier2p14/noyaux/noyau_E49_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_Lift_E49_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_D8_E49_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_F9to11_E49_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E49_palier2p14/candidats/candidats_D8_E49_palier2p14.csv b/docs/artefacts/collatz/local_E49_palier2p14/candidats/candidats_D8_E49_palier2p14.csv
new file mode 100644
index 0000000..4640577
--- /dev/null
+++ b/docs/artefacts/collatz/local_E49_palier2p14/candidats/candidats_D8_E49_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+8383,191,13,14
diff --git a/docs/artefacts/collatz/local_E49_palier2p14/candidats/candidats_F9to11_E49_palier2p14.csv b/docs/artefacts/collatz/local_E49_palier2p14/candidats/candidats_F9to11_E49_palier2p14.csv
new file mode 100644
index 0000000..65f59ca
--- /dev/null
+++ b/docs/artefacts/collatz/local_E49_palier2p14/candidats/candidats_F9to11_E49_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+9,4287,14,9,1,19,1 1 1 1 1 2 4 1 7,29347,161,2,1533498,1,107,49,191
+11,12479,14,11,1,19,1 1 1 1 1 2 4 1 1 1 5,305083,4217,2,1218570,1,2811,49,191
diff --git a/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_D8_E49_palier2p14.json b/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_D8_E49_palier2p14.json
new file mode 100644
index 0000000..0e6875c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_D8_E49_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    8383
+  ],
+  "covered": [
+    191,
+    8383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_F9to11_E49_palier2p14.json b/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_F9to11_E49_palier2p14.json
new file mode 100644
index 0000000..966617a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_F9to11_E49_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    4287,
+    12479
+  ],
+  "covered": [
+    4287,
+    12479
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E49_palier2p14/metadata.json b/docs/artefacts/collatz/local_E49_palier2p14/metadata.json
new file mode 100644
index 0000000..8ca0d25
--- /dev/null
+++ b/docs/artefacts/collatz/local_E49_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 49,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_D8_E49_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 11,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/candidats/candidats_F9to11_E49_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_F9to11_E49_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/audits/verification_H6_E49_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_E49_B12.json b/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_E49_B12.json
new file mode 100644
index 0000000..1fa8018
--- /dev/null
+++ b/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_E49_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    191
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_Lift_E49_palier2p14.json b/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_Lift_E49_palier2p14.json
new file mode 100644
index 0000000..c2da33a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_Lift_E49_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    191,
+    4287,
+    8383,
+    12479
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_post_D8_E49_palier2p14.json b/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_post_D8_E49_palier2p14.json
new file mode 100644
index 0000000..e837dac
--- /dev/null
+++ b/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_post_D8_E49_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    4287,
+    12479
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E4_palier2p14/audits/verification_H6_E4_palier2p14.md b/docs/artefacts/collatz/local_E4_palier2p14/audits/verification_H6_E4_palier2p14.md
index 4d19016..167947d 100644
--- a/docs/artefacts/collatz/local_E4_palier2p14/audits/verification_H6_E4_palier2p14.md
+++ b/docs/artefacts/collatz/local_E4_palier2p14/audits/verification_H6_E4_palier2p14.md
@@ -16,16 +16,12 @@ Vérifier, au sens “certifié D/F” (appartenance aux ensembles `covered` de
 
 - `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_D8_E4_palier2p14.json`
   - covered : 2 classes
-- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_F9to40_E4_palier2p14.json`
-  - covered : 29 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_F9to44_E4_palier2p14.json`
+  - covered : 30 classes
 
 ## Résultat
 
 - |L| = 32
-- |U| = 31
-- |L \ U| = 1
-
-### Résidus manquants (extraits)
-
-4255
+- |U| = 32
+- |L \ U| = 0
 
diff --git a/docs/artefacts/collatz/local_E4_palier2p14/candidats/candidats_F9to44_E4_palier2p14.csv b/docs/artefacts/collatz/local_E4_palier2p14/candidats/candidats_F9to44_E4_palier2p14.csv
new file mode 100644
index 0000000..2770e5c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E4_palier2p14/candidats/candidats_F9to44_E4_palier2p14.csv
@@ -0,0 +1,31 @@
+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
+9,2719,14,9,2,16,1 1 1 1 2 1 1 4 4,24835,817,1,117876,1,1089,4,2719
+9,3743,14,9,1,15,1 1 1 1 2 1 1 2 5,21763,2249,2,58938,1,1499,4,3743
+9,8863,14,9,1,14,1 1 1 1 2 1 1 3 3,22787,10649,2,9786,3,7099,4,671
+9,9375,14,9,1,24,1 1 1 1 2 1 1 1 15,21251,11,2,50292282,1,7,4,1183
+10,1183,14,10,1,16,1 1 1 1 2 1 1 1 4 3,71945,1067,2,78510,1,711,4,1183
+11,10399,14,11,1,20,1 1 1 1 2 1 1 1 1 1 9,196379,1757,2,2791434,1,1171,4,2207
+11,11423,14,11,1,21,1 1 1 1 2 1 1 1 2 1 9,201499,965,2,5937162,1,643,4,3231
+11,13471,14,11,1,22,1 1 1 1 2 1 1 1 3 1 9,211739,569,2,12228618,1,379,4,1183
+11,16031,14,11,1,19,1 1 1 1 2 1 1 2 2 2 5,224539,5417,2,1218570,1,3611,4,3743
+13,159,14,13,2,22,1 1 1 1 2 1 1 1 1 4 2 2 4,2355187,61,1,6205620,1,81,4,159
+14,671,14,14,1,22,1 1 1 1 2 1 1 3 2 1 1 1 3 3,7658969,767,2,3016974,4,511,4,671
+14,3231,14,14,2,23,1 1 1 1 2 1 1 1 2 1 1 4 2 4,6431705,1843,1,6033948,3,2457,4,3231
+14,4767,14,14,2,23,1 1 1 1 2 1 1 3 1 2 2 2 1 4,8211929,2719,1,6033948,5,3625,4,671
+14,5279,14,14,1,23,1 1 1 1 2 1 1 1 3 3 1 2 2 3,8805337,3011,2,15599886,1,2007,4,1183
+14,7327,14,14,1,22,1 1 1 1 2 1 1 1 2 3 1 2 2 3,6984665,8357,2,3016974,4,5571,4,3231
+14,11935,14,14,2,24,1 1 1 1 2 1 1 2 3 1 1 2 3 4,8131033,3403,1,31199772,1,4537,4,3743
+15,6303,14,15,2,28,1 1 1 1 2 1 1 1 1 1 1 4 2 4 6,21587851,337,1,747910740,1,449,4,2207
+15,7839,14,15,1,25,1 1 1 1 2 1 1 2 2 1 2 2 3 2 3,26928523,3353,2,71965482,1,2235,4,3743
+18,2207,14,18,1,30,1 1 1 1 2 1 1 1 1 1 2 4 2 1 2 1 4 3,735214505,797,2,2446384494,1,531,4,2207
+20,1695,14,20,1,33,1 1 1 1 2 1 1 2 1 3 2 2 1 1 1 2 1 4 2 3,8365374193,689,2,18796234974,1,459,4,1695
+20,5791,14,20,1,32,1 1 1 1 2 1 1 2 1 1 3 2 3 1 1 2 1 1 1 5,7262726897,4703,2,5911333086,2,3135,4,1695
+20,12959,14,20,1,33,1 1 1 1 2 1 1 3 1 1 1 2 2 1 1 2 1 1 6 3,6406835953,5261,2,18796234974,1,3507,4,671
+21,8351,14,21,1,35,1 1 1 1 2 1 1 1 1 3 1 2 2 3 2 1 1 1 3 1 5,22405071571,2543,2,82158508698,1,1695,4,159
+22,10911,14,22,1,39,1 1 1 1 2 1 1 4 1 1 2 2 1 2 2 1 2 2 1 1 2 7,99130658425,623,2,1586505322446,1,415,4,2719
+22,13983,14,22,2,37,1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 3 1 2 4 3 6,41221923449,3193,1,286792621980,1,4257,4,1695
+27,9887,14,27,1,43,1 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 3,14623145322715,8573,2,11137084096650,2,5715,4,1695
+27,12447,14,27,1,46,1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 3 1 1 3 3 2 2 1 6 5,11624000035547,1349,2,195855037563018,1,899,4,159
+32,15519,14,32,2,53,1 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 1 3 5 1 1 1 1 1 1 2 1 1 2 4 3 6,2966909596266977,3193,1,19609517008815612,1,4257,4,3231
+33,14495,14,33,2,53,1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 3 1 1 3 3 3 4 1 2 3 1 4,8828819945349539,8947,1,4785355498000884,6,11929,4,2207
+44,4255,14,44,1,70,1 1 1 1 2 1 1 1 1 2 3 2 2 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 3 1 4 1 2 1 5 5,2080656376261742549969,3551,2,1572233057785011444510,2,2367,4,159
diff --git a/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_F9to44_E4_palier2p14.json b/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_F9to44_E4_palier2p14.json
new file mode 100644
index 0000000..6bc9a7a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_F9to44_E4_palier2p14.json
@@ -0,0 +1,67 @@
+{
+  "clauses": [
+    159,
+    671,
+    1183,
+    1695,
+    2207,
+    2719,
+    3231,
+    3743,
+    4255,
+    4767,
+    5279,
+    5791,
+    6303,
+    7327,
+    7839,
+    8351,
+    8863,
+    9375,
+    9887,
+    10399,
+    10911,
+    11423,
+    11935,
+    12447,
+    12959,
+    13471,
+    13983,
+    14495,
+    15519,
+    16031
+  ],
+  "covered": [
+    159,
+    671,
+    1183,
+    1695,
+    2207,
+    2719,
+    3231,
+    3743,
+    4255,
+    4767,
+    5279,
+    5791,
+    6303,
+    7327,
+    7839,
+    8351,
+    8863,
+    9375,
+    9887,
+    10399,
+    10911,
+    11423,
+    11935,
+    12447,
+    12959,
+    13471,
+    13983,
+    14495,
+    15519,
+    16031
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E4_palier2p14/metadata.json b/docs/artefacts/collatz/local_E4_palier2p14/metadata.json
index 20e115e..8430512 100644
--- a/docs/artefacts/collatz/local_E4_palier2p14/metadata.json
+++ b/docs/artefacts/collatz/local_E4_palier2p14/metadata.json
@@ -13,13 +13,13 @@
   },
   "fusion": {
     "t_min": 9,
-    "t_max_search": 40,
-    "t_max_used": null,
-    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/candidats/candidats_F9to40_E4_palier2p14.csv",
-    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_F9to40_E4_palier2p14.json",
-    "clauses": 29,
-    "covered": 29
+    "t_max_search": 120,
+    "t_max_used": 44,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/candidats/candidats_F9to44_E4_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_F9to44_E4_palier2p14.json",
+    "clauses": 30,
+    "covered": 30
   },
   "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/audits/verification_H6_E4_palier2p14.md",
-  "success": false
+  "success": true
 }
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E50_palier2p14/audits/verification_H6_E50_palier2p14.md b/docs/artefacts/collatz/local_E50_palier2p14/audits/verification_H6_E50_palier2p14.md
new file mode 100644
index 0000000..bf3df74
--- /dev/null
+++ b/docs/artefacts/collatz/local_E50_palier2p14/audits/verification_H6_E50_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E50) — 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_E50_palier2p14/noyaux/noyau_E50_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_Lift_E50_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_D8_E50_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_F9to11_E50_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E50_palier2p14/candidats/candidats_D8_E50_palier2p14.csv b/docs/artefacts/collatz/local_E50_palier2p14/candidats/candidats_D8_E50_palier2p14.csv
new file mode 100644
index 0000000..252826e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E50_palier2p14/candidats/candidats_D8_E50_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+11327,3135,13,14
diff --git a/docs/artefacts/collatz/local_E50_palier2p14/candidats/candidats_F9to11_E50_palier2p14.csv b/docs/artefacts/collatz/local_E50_palier2p14/candidats/candidats_F9to11_E50_palier2p14.csv
new file mode 100644
index 0000000..9f7fef9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E50_palier2p14/candidats/candidats_F9to11_E50_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+10,15423,14,10,2,17,1 1 1 1 1 4 2 1 1 4,106601,6949,1,157020,2,9265,50,3135
+11,7231,14,11,1,21,1 1 1 1 1 4 2 1 2 2 5,409915,611,2,5937162,1,407,50,3135
diff --git a/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_D8_E50_palier2p14.json b/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_D8_E50_palier2p14.json
new file mode 100644
index 0000000..ba89319
--- /dev/null
+++ b/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_D8_E50_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    11327
+  ],
+  "covered": [
+    3135,
+    11327
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_F9to11_E50_palier2p14.json b/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_F9to11_E50_palier2p14.json
new file mode 100644
index 0000000..72cb82c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_F9to11_E50_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    7231,
+    15423
+  ],
+  "covered": [
+    7231,
+    15423
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E50_palier2p14/metadata.json b/docs/artefacts/collatz/local_E50_palier2p14/metadata.json
new file mode 100644
index 0000000..d90f08f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E50_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 50,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_D8_E50_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 11,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/candidats/candidats_F9to11_E50_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_F9to11_E50_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/audits/verification_H6_E50_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_E50_B12.json b/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_E50_B12.json
new file mode 100644
index 0000000..93b1c23
--- /dev/null
+++ b/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_E50_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    3135
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_Lift_E50_palier2p14.json b/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_Lift_E50_palier2p14.json
new file mode 100644
index 0000000..633d99e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_Lift_E50_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    3135,
+    7231,
+    11327,
+    15423
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_post_D8_E50_palier2p14.json b/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_post_D8_E50_palier2p14.json
new file mode 100644
index 0000000..cc581b4
--- /dev/null
+++ b/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_post_D8_E50_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    7231,
+    15423
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E51_palier2p14/audits/verification_H6_E51_palier2p14.md b/docs/artefacts/collatz/local_E51_palier2p14/audits/verification_H6_E51_palier2p14.md
new file mode 100644
index 0000000..d2e1082
--- /dev/null
+++ b/docs/artefacts/collatz/local_E51_palier2p14/audits/verification_H6_E51_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E51) — 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_E51_palier2p14/noyaux/noyau_E51_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_Lift_E51_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_D8_E51_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_F9to23_E51_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E51_palier2p14/candidats/candidats_D8_E51_palier2p14.csv b/docs/artefacts/collatz/local_E51_palier2p14/candidats/candidats_D8_E51_palier2p14.csv
new file mode 100644
index 0000000..3ec6641
--- /dev/null
+++ b/docs/artefacts/collatz/local_E51_palier2p14/candidats/candidats_D8_E51_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+13215,5023,13,14
diff --git a/docs/artefacts/collatz/local_E51_palier2p14/candidats/candidats_F9to23_E51_palier2p14.csv b/docs/artefacts/collatz/local_E51_palier2p14/candidats/candidats_F9to23_E51_palier2p14.csv
new file mode 100644
index 0000000..498da80
--- /dev/null
+++ b/docs/artefacts/collatz/local_E51_palier2p14/candidats/candidats_F9to23_E51_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+10,9119,14,10,1,17,1 1 1 1 2 1 4 1 2 3,107017,4109,2,275118,1,2739,51,927
+23,927,14,23,2,37,1 1 1 1 2 1 4 1 1 1 1 3 1 2 1 1 2 2 1 2 1 2 4,277886589035,637,1,35744145108,28,849,51,927
diff --git a/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_D8_E51_palier2p14.json b/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_D8_E51_palier2p14.json
new file mode 100644
index 0000000..b80eedb
--- /dev/null
+++ b/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_D8_E51_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    13215
+  ],
+  "covered": [
+    5023,
+    13215
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_F9to23_E51_palier2p14.json b/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_F9to23_E51_palier2p14.json
new file mode 100644
index 0000000..54d50f7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_F9to23_E51_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    927,
+    9119
+  ],
+  "covered": [
+    927,
+    9119
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E51_palier2p14/metadata.json b/docs/artefacts/collatz/local_E51_palier2p14/metadata.json
new file mode 100644
index 0000000..131da62
--- /dev/null
+++ b/docs/artefacts/collatz/local_E51_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 51,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_D8_E51_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 23,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/candidats/candidats_F9to23_E51_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_F9to23_E51_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/audits/verification_H6_E51_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_E51_B12.json b/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_E51_B12.json
new file mode 100644
index 0000000..ea99d1f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_E51_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    927
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_Lift_E51_palier2p14.json b/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_Lift_E51_palier2p14.json
new file mode 100644
index 0000000..4e5ee69
--- /dev/null
+++ b/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_Lift_E51_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    927,
+    5023,
+    9119,
+    13215
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_post_D8_E51_palier2p14.json b/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_post_D8_E51_palier2p14.json
new file mode 100644
index 0000000..a192a54
--- /dev/null
+++ b/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_post_D8_E51_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    927,
+    9119
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E52_palier2p14/audits/verification_H6_E52_palier2p14.md b/docs/artefacts/collatz/local_E52_palier2p14/audits/verification_H6_E52_palier2p14.md
new file mode 100644
index 0000000..8036866
--- /dev/null
+++ b/docs/artefacts/collatz/local_E52_palier2p14/audits/verification_H6_E52_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E52) — 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_E52_palier2p14/noyaux/noyau_E52_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_Lift_E52_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_D8_E52_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_F9to10_E52_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E52_palier2p14/candidats/candidats_D8_E52_palier2p14.csv b/docs/artefacts/collatz/local_E52_palier2p14/candidats/candidats_D8_E52_palier2p14.csv
new file mode 100644
index 0000000..8be01a6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E52_palier2p14/candidats/candidats_D8_E52_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+9439,1247,13,14
diff --git a/docs/artefacts/collatz/local_E52_palier2p14/candidats/candidats_F9to10_E52_palier2p14.csv b/docs/artefacts/collatz/local_E52_palier2p14/candidats/candidats_F9to10_E52_palier2p14.csv
new file mode 100644
index 0000000..795188e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E52_palier2p14/candidats/candidats_F9to10_E52_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+10,5343,14,10,2,20,1 1 1 1 3 2 2 1 2 6,122569,301,1,2909532,1,401,52,1247
+10,13535,14,10,1,16,1 1 1 1 3 2 2 1 1 3,114377,12197,2,78510,3,8131,52,1247
diff --git a/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_D8_E52_palier2p14.json b/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_D8_E52_palier2p14.json
new file mode 100644
index 0000000..17311ef
--- /dev/null
+++ b/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_D8_E52_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    9439
+  ],
+  "covered": [
+    1247,
+    9439
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_F9to10_E52_palier2p14.json b/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_F9to10_E52_palier2p14.json
new file mode 100644
index 0000000..ea2b4c6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_F9to10_E52_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    5343,
+    13535
+  ],
+  "covered": [
+    5343,
+    13535
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E52_palier2p14/metadata.json b/docs/artefacts/collatz/local_E52_palier2p14/metadata.json
new file mode 100644
index 0000000..a4575cc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E52_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 52,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_D8_E52_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 10,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/candidats/candidats_F9to10_E52_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_F9to10_E52_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/audits/verification_H6_E52_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_E52_B12.json b/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_E52_B12.json
new file mode 100644
index 0000000..d7f1e70
--- /dev/null
+++ b/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_E52_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    1247
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_Lift_E52_palier2p14.json b/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_Lift_E52_palier2p14.json
new file mode 100644
index 0000000..bea225b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_Lift_E52_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    1247,
+    5343,
+    9439,
+    13535
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_post_D8_E52_palier2p14.json b/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_post_D8_E52_palier2p14.json
new file mode 100644
index 0000000..51dc49e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_post_D8_E52_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    5343,
+    13535
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E53_palier2p14/audits/verification_H6_E53_palier2p14.md b/docs/artefacts/collatz/local_E53_palier2p14/audits/verification_H6_E53_palier2p14.md
new file mode 100644
index 0000000..a9becdf
--- /dev/null
+++ b/docs/artefacts/collatz/local_E53_palier2p14/audits/verification_H6_E53_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E53) — 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_E53_palier2p14/noyaux/noyau_E53_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_Lift_E53_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_D8_E53_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_F9to18_E53_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_D8_E53_palier2p14.csv b/docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_D8_E53_palier2p14.csv
new file mode 100644
index 0000000..91870eb
--- /dev/null
+++ b/docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_D8_E53_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+12271,4079,13,14
diff --git a/docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_F9to18_E53_palier2p14.csv b/docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_F9to18_E53_palier2p14.csv
new file mode 100644
index 0000000..ef5abcc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_F9to18_E53_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+15,8175,14,15,1,25,1 1 1 2 1 1 4 1 2 1 1 1 1 4 3,37533979,3497,2,71965482,1,2331,53,4079
+18,16367,14,18,1,28,1 1 1 2 1 1 4 1 1 2 2 1 2 2 1 2 2 1,1413375449,23627,2,30465390,84,15751,53,4079
diff --git a/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_D8_E53_palier2p14.json b/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_D8_E53_palier2p14.json
new file mode 100644
index 0000000..cc92365
--- /dev/null
+++ b/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_D8_E53_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    12271
+  ],
+  "covered": [
+    4079,
+    12271
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_F9to18_E53_palier2p14.json b/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_F9to18_E53_palier2p14.json
new file mode 100644
index 0000000..aee5a16
--- /dev/null
+++ b/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_F9to18_E53_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    8175,
+    16367
+  ],
+  "covered": [
+    8175,
+    16367
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E53_palier2p14/metadata.json b/docs/artefacts/collatz/local_E53_palier2p14/metadata.json
new file mode 100644
index 0000000..8c1b255
--- /dev/null
+++ b/docs/artefacts/collatz/local_E53_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 53,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_D8_E53_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 18,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_F9to18_E53_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_F9to18_E53_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/audits/verification_H6_E53_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_E53_B12.json b/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_E53_B12.json
new file mode 100644
index 0000000..40104df
--- /dev/null
+++ b/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_E53_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    4079
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_Lift_E53_palier2p14.json b/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_Lift_E53_palier2p14.json
new file mode 100644
index 0000000..5320c93
--- /dev/null
+++ b/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_Lift_E53_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    4079,
+    8175,
+    12271,
+    16367
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_post_D8_E53_palier2p14.json b/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_post_D8_E53_palier2p14.json
new file mode 100644
index 0000000..fc94475
--- /dev/null
+++ b/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_post_D8_E53_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    8175,
+    16367
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E54_palier2p14/audits/verification_H6_E54_palier2p14.md b/docs/artefacts/collatz/local_E54_palier2p14/audits/verification_H6_E54_palier2p14.md
new file mode 100644
index 0000000..292af0c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E54_palier2p14/audits/verification_H6_E54_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E54) — 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_E54_palier2p14/noyaux/noyau_E54_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_Lift_E54_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_D8_E54_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_F9to20_E54_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E54_palier2p14/candidats/candidats_D8_E54_palier2p14.csv b/docs/artefacts/collatz/local_E54_palier2p14/candidats/candidats_D8_E54_palier2p14.csv
new file mode 100644
index 0000000..33e16c6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E54_palier2p14/candidats/candidats_D8_E54_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+8495,303,13,14
diff --git a/docs/artefacts/collatz/local_E54_palier2p14/candidats/candidats_F9to20_E54_palier2p14.csv b/docs/artefacts/collatz/local_E54_palier2p14/candidats/candidats_F9to20_E54_palier2p14.csv
new file mode 100644
index 0000000..a173345
--- /dev/null
+++ b/docs/artefacts/collatz/local_E54_palier2p14/candidats/candidats_F9to20_E54_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+11,12591,14,11,2,19,1 1 1 2 2 2 2 1 1 2 4,387563,4255,1,864276,2,5673,54,303
+20,4399,14,20,1,33,1 1 1 2 2 2 2 1 2 1 1 2 1 2 1 1 3 1 1 5,11848535905,1787,2,18796234974,1,1191,54,303
diff --git a/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_D8_E54_palier2p14.json b/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_D8_E54_palier2p14.json
new file mode 100644
index 0000000..75451e7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_D8_E54_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    8495
+  ],
+  "covered": [
+    303,
+    8495
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_F9to20_E54_palier2p14.json b/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_F9to20_E54_palier2p14.json
new file mode 100644
index 0000000..4bbbb9d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_F9to20_E54_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    4399,
+    12591
+  ],
+  "covered": [
+    4399,
+    12591
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E54_palier2p14/metadata.json b/docs/artefacts/collatz/local_E54_palier2p14/metadata.json
new file mode 100644
index 0000000..82728d6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E54_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 54,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_D8_E54_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 20,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/candidats/candidats_F9to20_E54_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_F9to20_E54_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/audits/verification_H6_E54_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_E54_B12.json b/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_E54_B12.json
new file mode 100644
index 0000000..aa3e0e4
--- /dev/null
+++ b/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_E54_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    303
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_Lift_E54_palier2p14.json b/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_Lift_E54_palier2p14.json
new file mode 100644
index 0000000..c40aced
--- /dev/null
+++ b/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_Lift_E54_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    303,
+    4399,
+    8495,
+    12591
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_post_D8_E54_palier2p14.json b/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_post_D8_E54_palier2p14.json
new file mode 100644
index 0000000..564349b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_post_D8_E54_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    4399,
+    12591
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E55_palier2p14/audits/verification_H6_E55_palier2p14.md b/docs/artefacts/collatz/local_E55_palier2p14/audits/verification_H6_E55_palier2p14.md
new file mode 100644
index 0000000..0c6f71f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E55_palier2p14/audits/verification_H6_E55_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E55) — 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_E55_palier2p14/noyaux/noyau_E55_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_Lift_E55_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_D8_E55_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_F9to13_E55_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E55_palier2p14/candidats/candidats_D8_E55_palier2p14.csv b/docs/artefacts/collatz/local_E55_palier2p14/candidats/candidats_D8_E55_palier2p14.csv
new file mode 100644
index 0000000..2d604e4
--- /dev/null
+++ b/docs/artefacts/collatz/local_E55_palier2p14/candidats/candidats_D8_E55_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+10855,2663,13,14
diff --git a/docs/artefacts/collatz/local_E55_palier2p14/candidats/candidats_F9to13_E55_palier2p14.csv b/docs/artefacts/collatz/local_E55_palier2p14/candidats/candidats_F9to13_E55_palier2p14.csv
new file mode 100644
index 0000000..6a9baa5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E55_palier2p14/candidats/candidats_F9to13_E55_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+9,6759,14,9,1,15,1 1 2 1 1 1 4 1 3,33451,4061,2,58938,1,2707,55,2663
+13,14951,14,13,1,24,1 1 2 1 1 1 4 1 1 1 1 4 5,3700763,1421,2,47143002,1,947,55,2663
diff --git a/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_D8_E55_palier2p14.json b/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_D8_E55_palier2p14.json
new file mode 100644
index 0000000..a24b2d6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_D8_E55_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    10855
+  ],
+  "covered": [
+    2663,
+    10855
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_F9to13_E55_palier2p14.json b/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_F9to13_E55_palier2p14.json
new file mode 100644
index 0000000..e51869a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_F9to13_E55_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    6759,
+    14951
+  ],
+  "covered": [
+    6759,
+    14951
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E55_palier2p14/metadata.json b/docs/artefacts/collatz/local_E55_palier2p14/metadata.json
new file mode 100644
index 0000000..50c035a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E55_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 55,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_D8_E55_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 13,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/candidats/candidats_F9to13_E55_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_F9to13_E55_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/audits/verification_H6_E55_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_E55_B12.json b/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_E55_B12.json
new file mode 100644
index 0000000..e5f1edd
--- /dev/null
+++ b/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_E55_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    2663
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_Lift_E55_palier2p14.json b/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_Lift_E55_palier2p14.json
new file mode 100644
index 0000000..36a6dc5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_Lift_E55_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    2663,
+    6759,
+    10855,
+    14951
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_post_D8_E55_palier2p14.json b/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_post_D8_E55_palier2p14.json
new file mode 100644
index 0000000..e1607d6
--- /dev/null
+++ b/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_post_D8_E55_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    6759,
+    14951
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E56_palier2p14/audits/verification_H6_E56_palier2p14.md b/docs/artefacts/collatz/local_E56_palier2p14/audits/verification_H6_E56_palier2p14.md
new file mode 100644
index 0000000..7b9c980
--- /dev/null
+++ b/docs/artefacts/collatz/local_E56_palier2p14/audits/verification_H6_E56_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E56) — 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_E56_palier2p14/noyaux/noyau_E56_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_Lift_E56_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_D8_E56_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_F9to21_E56_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E56_palier2p14/candidats/candidats_D8_E56_palier2p14.csv b/docs/artefacts/collatz/local_E56_palier2p14/candidats/candidats_D8_E56_palier2p14.csv
new file mode 100644
index 0000000..b86da3d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E56_palier2p14/candidats/candidats_D8_E56_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+7079,15271,13,14
diff --git a/docs/artefacts/collatz/local_E56_palier2p14/candidats/candidats_F9to21_E56_palier2p14.csv b/docs/artefacts/collatz/local_E56_palier2p14/candidats/candidats_F9to21_E56_palier2p14.csv
new file mode 100644
index 0000000..e86873f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E56_palier2p14/candidats/candidats_F9to21_E56_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+9,2983,14,9,1,15,1 1 2 1 2 2 2 1 3,38635,1793,2,58938,1,1195,56,2983
+21,11175,14,21,2,35,1 1 2 1 2 2 2 1 1 1 1 2 1 1 2 3 1 1 2 3 4,31742622779,3403,1,61237802292,2,4537,56,2983
diff --git a/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_D8_E56_palier2p14.json b/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_D8_E56_palier2p14.json
new file mode 100644
index 0000000..d3504ec
--- /dev/null
+++ b/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_D8_E56_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    7079
+  ],
+  "covered": [
+    7079,
+    15271
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_F9to21_E56_palier2p14.json b/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_F9to21_E56_palier2p14.json
new file mode 100644
index 0000000..075c9f3
--- /dev/null
+++ b/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_F9to21_E56_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    2983,
+    11175
+  ],
+  "covered": [
+    2983,
+    11175
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E56_palier2p14/metadata.json b/docs/artefacts/collatz/local_E56_palier2p14/metadata.json
new file mode 100644
index 0000000..53fe392
--- /dev/null
+++ b/docs/artefacts/collatz/local_E56_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 56,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_D8_E56_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 21,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/candidats/candidats_F9to21_E56_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_F9to21_E56_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/audits/verification_H6_E56_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_E56_B12.json b/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_E56_B12.json
new file mode 100644
index 0000000..384978c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_E56_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    2983
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_Lift_E56_palier2p14.json b/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_Lift_E56_palier2p14.json
new file mode 100644
index 0000000..5df4f5a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_Lift_E56_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    2983,
+    7079,
+    11175,
+    15271
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_post_D8_E56_palier2p14.json b/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_post_D8_E56_palier2p14.json
new file mode 100644
index 0000000..f7fdc23
--- /dev/null
+++ b/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_post_D8_E56_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    2983,
+    11175
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E57_palier2p14/audits/verification_H6_E57_palier2p14.md b/docs/artefacts/collatz/local_E57_palier2p14/audits/verification_H6_E57_palier2p14.md
new file mode 100644
index 0000000..bc9b599
--- /dev/null
+++ b/docs/artefacts/collatz/local_E57_palier2p14/audits/verification_H6_E57_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E57) — 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_E57_palier2p14/noyaux/noyau_E57_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_Lift_E57_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_D8_E57_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_F9to16_E57_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E57_palier2p14/candidats/candidats_D8_E57_palier2p14.csv b/docs/artefacts/collatz/local_E57_palier2p14/candidats/candidats_D8_E57_palier2p14.csv
new file mode 100644
index 0000000..4eb127f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E57_palier2p14/candidats/candidats_D8_E57_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+5191,13383,13,14
diff --git a/docs/artefacts/collatz/local_E57_palier2p14/candidats/candidats_F9to16_E57_palier2p14.csv b/docs/artefacts/collatz/local_E57_palier2p14/candidats/candidats_F9to16_E57_palier2p14.csv
new file mode 100644
index 0000000..3047f25
--- /dev/null
+++ b/docs/artefacts/collatz/local_E57_palier2p14/candidats/candidats_F9to16_E57_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+9,1095,14,9,1,15,1 1 2 2 1 2 2 1 3,41227,659,2,58938,1,439,57,1095
+16,9287,14,16,2,26,1 1 2 2 1 2 2 1 1 1 1 1 2 2 4 2,126822649,5959,1,29139708,16,7945,57,1095
diff --git a/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_D8_E57_palier2p14.json b/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_D8_E57_palier2p14.json
new file mode 100644
index 0000000..cd19960
--- /dev/null
+++ b/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_D8_E57_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    5191
+  ],
+  "covered": [
+    5191,
+    13383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_F9to16_E57_palier2p14.json b/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_F9to16_E57_palier2p14.json
new file mode 100644
index 0000000..c9dfec7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_F9to16_E57_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    1095,
+    9287
+  ],
+  "covered": [
+    1095,
+    9287
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E57_palier2p14/metadata.json b/docs/artefacts/collatz/local_E57_palier2p14/metadata.json
new file mode 100644
index 0000000..da20a38
--- /dev/null
+++ b/docs/artefacts/collatz/local_E57_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 57,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_D8_E57_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 16,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/candidats/candidats_F9to16_E57_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_F9to16_E57_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/audits/verification_H6_E57_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_E57_B12.json b/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_E57_B12.json
new file mode 100644
index 0000000..8dd1115
--- /dev/null
+++ b/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_E57_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    1095
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_Lift_E57_palier2p14.json b/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_Lift_E57_palier2p14.json
new file mode 100644
index 0000000..880a291
--- /dev/null
+++ b/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_Lift_E57_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    1095,
+    5191,
+    9287,
+    13383
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_post_D8_E57_palier2p14.json b/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_post_D8_E57_palier2p14.json
new file mode 100644
index 0000000..11b7163
--- /dev/null
+++ b/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_post_D8_E57_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    1095,
+    9287
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E58_palier2p14/audits/verification_H6_E58_palier2p14.md b/docs/artefacts/collatz/local_E58_palier2p14/audits/verification_H6_E58_palier2p14.md
new file mode 100644
index 0000000..e04dbb5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E58_palier2p14/audits/verification_H6_E58_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E58) — 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_E58_palier2p14/noyaux/noyau_E58_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_Lift_E58_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_D8_E58_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_F9to10_E58_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E58_palier2p14/candidats/candidats_D8_E58_palier2p14.csv b/docs/artefacts/collatz/local_E58_palier2p14/candidats/candidats_D8_E58_palier2p14.csv
new file mode 100644
index 0000000..e67f149
--- /dev/null
+++ b/docs/artefacts/collatz/local_E58_palier2p14/candidats/candidats_D8_E58_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+539,8731,13,14
diff --git a/docs/artefacts/collatz/local_E58_palier2p14/candidats/candidats_F9to10_E58_palier2p14.csv b/docs/artefacts/collatz/local_E58_palier2p14/candidats/candidats_F9to10_E58_palier2p14.csv
new file mode 100644
index 0000000..67fd003
--- /dev/null
+++ b/docs/artefacts/collatz/local_E58_palier2p14/candidats/candidats_F9to10_E58_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+9,12827,14,9,2,16,1 2 1 1 1 1 4 1 4,36367,3853,1,117876,1,5137,58,539
+10,4635,14,10,2,17,1 2 1 1 1 1 4 1 1 4,117293,2089,1,157020,3,2785,58,539
diff --git a/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_D8_E58_palier2p14.json b/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_D8_E58_palier2p14.json
new file mode 100644
index 0000000..e32cfb5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_D8_E58_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    539
+  ],
+  "covered": [
+    539,
+    8731
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_F9to10_E58_palier2p14.json b/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_F9to10_E58_palier2p14.json
new file mode 100644
index 0000000..03a4d3d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_F9to10_E58_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    4635,
+    12827
+  ],
+  "covered": [
+    4635,
+    12827
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E58_palier2p14/metadata.json b/docs/artefacts/collatz/local_E58_palier2p14/metadata.json
new file mode 100644
index 0000000..f318ade
--- /dev/null
+++ b/docs/artefacts/collatz/local_E58_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 58,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_D8_E58_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 10,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/candidats/candidats_F9to10_E58_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_F9to10_E58_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/audits/verification_H6_E58_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_E58_B12.json b/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_E58_B12.json
new file mode 100644
index 0000000..46a3c66
--- /dev/null
+++ b/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_E58_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    539
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_Lift_E58_palier2p14.json b/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_Lift_E58_palier2p14.json
new file mode 100644
index 0000000..ee3be88
--- /dev/null
+++ b/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_Lift_E58_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    539,
+    4635,
+    8731,
+    12827
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_post_D8_E58_palier2p14.json b/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_post_D8_E58_palier2p14.json
new file mode 100644
index 0000000..d8757e7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_post_D8_E58_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    4635,
+    12827
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E59_palier2p14/audits/verification_H6_E59_palier2p14.md b/docs/artefacts/collatz/local_E59_palier2p14/audits/verification_H6_E59_palier2p14.md
new file mode 100644
index 0000000..e92d5dd
--- /dev/null
+++ b/docs/artefacts/collatz/local_E59_palier2p14/audits/verification_H6_E59_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E59) — 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_E59_palier2p14/noyaux/noyau_E59_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_Lift_E59_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_D8_E59_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_F9to10_E59_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E59_palier2p14/candidats/candidats_D8_E59_palier2p14.csv b/docs/artefacts/collatz/local_E59_palier2p14/candidats/candidats_D8_E59_palier2p14.csv
new file mode 100644
index 0000000..5c6813c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E59_palier2p14/candidats/candidats_D8_E59_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+13147,4955,13,14
diff --git a/docs/artefacts/collatz/local_E59_palier2p14/candidats/candidats_F9to10_E59_palier2p14.csv b/docs/artefacts/collatz/local_E59_palier2p14/candidats/candidats_F9to10_E59_palier2p14.csv
new file mode 100644
index 0000000..ef39f9c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E59_palier2p14/candidats/candidats_F9to10_E59_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+9,9051,14,9,2,16,1 2 1 1 2 2 2 1 4,41551,2719,1,117876,1,3625,59,859
+10,859,14,10,2,19,1 2 1 1 2 2 2 1 1 6,132845,97,1,1336668,1,129,59,859
diff --git a/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_D8_E59_palier2p14.json b/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_D8_E59_palier2p14.json
new file mode 100644
index 0000000..536e84c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_D8_E59_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    13147
+  ],
+  "covered": [
+    4955,
+    13147
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_F9to10_E59_palier2p14.json b/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_F9to10_E59_palier2p14.json
new file mode 100644
index 0000000..bcec5c9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_F9to10_E59_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    859,
+    9051
+  ],
+  "covered": [
+    859,
+    9051
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E59_palier2p14/metadata.json b/docs/artefacts/collatz/local_E59_palier2p14/metadata.json
new file mode 100644
index 0000000..dfef119
--- /dev/null
+++ b/docs/artefacts/collatz/local_E59_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 59,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_D8_E59_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 10,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/candidats/candidats_F9to10_E59_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_F9to10_E59_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/audits/verification_H6_E59_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_E59_B12.json b/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_E59_B12.json
new file mode 100644
index 0000000..2c9b3e0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_E59_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    859
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_Lift_E59_palier2p14.json b/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_Lift_E59_palier2p14.json
new file mode 100644
index 0000000..1388652
--- /dev/null
+++ b/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_Lift_E59_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    859,
+    4955,
+    9051,
+    13147
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_post_D8_E59_palier2p14.json b/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_post_D8_E59_palier2p14.json
new file mode 100644
index 0000000..23fa08d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_post_D8_E59_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    859,
+    9051
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E5_palier2p14/audits/verification_H6_E5_palier2p14.md b/docs/artefacts/collatz/local_E5_palier2p14/audits/verification_H6_E5_palier2p14.md
new file mode 100644
index 0000000..c861b25
--- /dev/null
+++ b/docs/artefacts/collatz/local_E5_palier2p14/audits/verification_H6_E5_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E5) — 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_E5_palier2p14/noyaux/noyau_E5_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_Lift_E5_palier2p14.json`
+- taille : 32
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_D8_E5_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_F9to43_E5_palier2p14.json`
+  - covered : 30 classes
+
+## Résultat
+
+- |L| = 32
+- |U| = 32
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_D8_E5_palier2p14.csv b/docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_D8_E5_palier2p14.csv
new file mode 100644
index 0000000..f8c933b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_D8_E5_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+5871,14063,13,14
diff --git a/docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_F9to43_E5_palier2p14.csv b/docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_F9to43_E5_palier2p14.csv
new file mode 100644
index 0000000..6c7fa53
--- /dev/null
+++ b/docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_F9to43_E5_palier2p14.csv
@@ -0,0 +1,31 @@
+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
+9,1775,14,9,1,15,1 1 1 2 1 1 1 4 3,26131,1067,2,58938,1,711,5,1775
+9,2799,14,9,2,16,1 1 1 2 1 1 1 2 6,23059,841,1,117876,1,1121,5,2799
+9,7919,14,9,1,14,1 1 1 2 1 1 1 3 3,24083,9515,2,9786,4,6343,5,3823
+9,8431,14,9,2,15,1 1 1 2 1 1 1 1 6,22547,5065,1,19572,3,6753,5,239
+10,15599,14,10,1,19,1 1 1 2 1 1 1 1 1 9,68665,1757,2,1454766,1,1171,5,3311
+11,4335,14,11,1,17,1 1 1 2 1 1 1 1 3 4 1,280747,5861,2,38922,12,3907,5,239
+12,239,14,12,2,21,1 1 1 2 1 1 1 1 4 2 2 4,911873,61,1,4165692,1,81,5,239
+13,751,14,13,1,23,1 1 1 2 1 1 1 2 1 3 1 1 7,2234371,143,2,21977178,1,95,5,751
+13,4847,14,13,2,22,1 1 1 2 1 1 1 2 1 1 4 2 4,2418691,1843,1,6205620,1,2457,5,751
+13,6895,14,13,1,21,1 1 1 2 1 1 1 2 2 1 3 2 3,2510851,5243,2,3102810,1,3495,5,2799
+13,7407,14,13,1,30,1 1 1 2 1 1 1 1 1 3 1 1 15,2009603,11,2,3218036826,1,7,5,3311
+13,10991,14,13,1,21,1 1 1 2 1 1 1 2 3 1 2 2 3,2695171,8357,2,3102810,2,5571,5,2799
+14,5359,14,14,1,22,1 1 1 2 1 1 1 1 1 1 1 3 6 1,7849481,6113,2,3016974,4,4075,5,1263
+14,9455,14,14,2,27,1 1 1 2 1 1 1 1 1 1 4 2 4 6,8402441,337,1,383521308,1,449,5,1263
+14,9967,14,14,1,25,1 1 1 2 1 1 1 4 1 1 1 1 4 5,8995849,1421,2,91097358,1,947,5,1775
+14,12015,14,14,1,22,1 1 1 2 1 1 1 3 1 1 1 1 4 3,7175177,13703,2,3016974,4,9135,5,3823
+15,13039,14,15,1,24,1 1 1 2 1 1 1 2 1 1 1 1 4 3 3,20891675,11153,2,21633834,2,7435,5,751
+15,16111,14,15,1,24,1 1 1 2 1 1 1 3 2 2 1 2 2 1 3,31573019,13781,2,21633834,3,9187,5,3823
+16,1263,14,16,2,26,1 1 1 2 1 1 1 1 1 1 2 2 1 1 5 4,57280081,811,1,29139708,6,1081,5,1263
+16,3311,14,16,2,26,1 1 1 2 1 1 1 1 1 2 4 2 1 2 1 4,78642769,2125,1,29139708,9,2833,5,3311
+16,3823,14,16,1,25,1 1 1 2 1 1 1 3 1 2 1 1 4 1 1 3,83983441,4907,2,14569854,10,3271,5,3823
+16,14575,14,16,2,27,1 1 1 2 1 1 1 1 2 2 1 2 2 1 2 6,61919825,4675,1,230466300,1,6233,5,2287
+17,15087,14,17,1,28,1 1 1 2 1 1 1 2 2 2 1 2 2 1 2 1 5,235335923,7259,2,547026042,1,4839,5,2799
+18,12527,14,18,1,28,1 1 1 2 1 1 1 1 3 1 2 2 3 2 1 1 1 3,901885145,18083,2,30465390,51,12055,5,239
+19,8943,14,19,1,31,1 1 1 2 1 1 1 2 1 2 1 1 4 1 1 1 1 1 7,1864040587,4841,2,4117928010,1,3227,5,751
+19,10479,14,19,1,30,1 1 1 2 1 1 1 1 2 1 3 2 3 1 1 1 1 1 5,2263080587,11345,2,896702538,4,7563,5,2287
+27,11503,14,27,2,44,1 1 1 2 1 1 1 1 1 2 1 1 4 1 1 1 3 2 1 1 1 2 1 3 4 1 4,14983933697131,4987,1,22274168193300,2,6649,5,3311
+31,2287,14,31,2,53,1 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 6,1511225692948955,157,1,24550904179087188,1,209,5,2287
+42,13551,14,42,1,67,1 1 1 2 1 1 1 1 1 1 1 1 4 3 2 1 2 1 1 1 1 1 2 1 2 2 1 2 1 1 1 1 1 1 4 4 2 1 3 1 1 5,233927852534293872313,10049,2,223883879506004520366,2,6699,5,1263
+43,6383,14,43,1,69,1 1 1 2 1 1 1 1 2 3 2 2 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 3 1 4 1 2 1 5 5,876199704433602736171,3551,2,1114373496287042799882,2,2367,5,2287
diff --git a/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_D8_E5_palier2p14.json b/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_D8_E5_palier2p14.json
new file mode 100644
index 0000000..2bf3377
--- /dev/null
+++ b/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_D8_E5_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    5871
+  ],
+  "covered": [
+    5871,
+    14063
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_F9to43_E5_palier2p14.json b/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_F9to43_E5_palier2p14.json
new file mode 100644
index 0000000..a1cc0a0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_F9to43_E5_palier2p14.json
@@ -0,0 +1,67 @@
+{
+  "clauses": [
+    239,
+    751,
+    1263,
+    1775,
+    2287,
+    2799,
+    3311,
+    3823,
+    4335,
+    4847,
+    5359,
+    6383,
+    6895,
+    7407,
+    7919,
+    8431,
+    8943,
+    9455,
+    9967,
+    10479,
+    10991,
+    11503,
+    12015,
+    12527,
+    13039,
+    13551,
+    14575,
+    15087,
+    15599,
+    16111
+  ],
+  "covered": [
+    239,
+    751,
+    1263,
+    1775,
+    2287,
+    2799,
+    3311,
+    3823,
+    4335,
+    4847,
+    5359,
+    6383,
+    6895,
+    7407,
+    7919,
+    8431,
+    8943,
+    9455,
+    9967,
+    10479,
+    10991,
+    11503,
+    12015,
+    12527,
+    13039,
+    13551,
+    14575,
+    15087,
+    15599,
+    16111
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E5_palier2p14/metadata.json b/docs/artefacts/collatz/local_E5_palier2p14/metadata.json
new file mode 100644
index 0000000..1a30dd3
--- /dev/null
+++ b/docs/artefacts/collatz/local_E5_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 5,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 32,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_D8_E5_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 43,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_F9to43_E5_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_F9to43_E5_palier2p14.json",
+    "clauses": 30,
+    "covered": 30
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/audits/verification_H6_E5_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_E5_B12.json b/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_E5_B12.json
new file mode 100644
index 0000000..9d31aa4
--- /dev/null
+++ b/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_E5_B12.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    239,
+    751,
+    1263,
+    1775,
+    2287,
+    2799,
+    3311,
+    3823
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_Lift_E5_palier2p14.json b/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_Lift_E5_palier2p14.json
new file mode 100644
index 0000000..27af988
--- /dev/null
+++ b/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_Lift_E5_palier2p14.json
@@ -0,0 +1,37 @@
+{
+  "noyau": [
+    239,
+    751,
+    1263,
+    1775,
+    2287,
+    2799,
+    3311,
+    3823,
+    4335,
+    4847,
+    5359,
+    5871,
+    6383,
+    6895,
+    7407,
+    7919,
+    8431,
+    8943,
+    9455,
+    9967,
+    10479,
+    10991,
+    11503,
+    12015,
+    12527,
+    13039,
+    13551,
+    14063,
+    14575,
+    15087,
+    15599,
+    16111
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_post_D8_E5_palier2p14.json b/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_post_D8_E5_palier2p14.json
new file mode 100644
index 0000000..65a55fc
--- /dev/null
+++ b/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_post_D8_E5_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "noyau": [
+    239,
+    751,
+    1263,
+    1775,
+    2287,
+    2799,
+    3311,
+    3823,
+    4335,
+    4847,
+    5359,
+    6383,
+    6895,
+    7407,
+    7919,
+    8431,
+    8943,
+    9455,
+    9967,
+    10479,
+    10991,
+    11503,
+    12015,
+    12527,
+    13039,
+    13551,
+    14575,
+    15087,
+    15599,
+    16111
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E60_palier2p14/audits/verification_H6_E60_palier2p14.md b/docs/artefacts/collatz/local_E60_palier2p14/audits/verification_H6_E60_palier2p14.md
new file mode 100644
index 0000000..6178df5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E60_palier2p14/audits/verification_H6_E60_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E60) — 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_E60_palier2p14/noyaux/noyau_E60_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_Lift_E60_palier2p14.json`
+- taille : 4
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_D8_E60_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_F9to11_E60_palier2p14.json`
+  - covered : 2 classes
+
+## Résultat
+
+- |L| = 4
+- |U| = 4
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E60_palier2p14/candidats/candidats_D8_E60_palier2p14.csv b/docs/artefacts/collatz/local_E60_palier2p14/candidats/candidats_D8_E60_palier2p14.csv
new file mode 100644
index 0000000..dd2bfb9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E60_palier2p14/candidats/candidats_D8_E60_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+11259,3067,13,14
diff --git a/docs/artefacts/collatz/local_E60_palier2p14/candidats/candidats_F9to11_E60_palier2p14.csv b/docs/artefacts/collatz/local_E60_palier2p14/candidats/candidats_F9to11_E60_palier2p14.csv
new file mode 100644
index 0000000..ff8a890
--- /dev/null
+++ b/docs/artefacts/collatz/local_E60_palier2p14/candidats/candidats_F9to11_E60_palier2p14.csv
@@ -0,0 +1,3 @@
+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
+9,7163,14,9,1,19,1 2 1 2 1 2 2 1 7,44143,269,2,1533498,1,179,60,3067
+11,15355,14,11,1,19,1 2 1 2 1 2 2 1 1 1 5,438247,5189,2,1218570,1,3459,60,3067
diff --git a/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_D8_E60_palier2p14.json b/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_D8_E60_palier2p14.json
new file mode 100644
index 0000000..100ce2e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_D8_E60_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    11259
+  ],
+  "covered": [
+    3067,
+    11259
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_F9to11_E60_palier2p14.json b/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_F9to11_E60_palier2p14.json
new file mode 100644
index 0000000..02e0e2f
--- /dev/null
+++ b/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_F9to11_E60_palier2p14.json
@@ -0,0 +1,11 @@
+{
+  "clauses": [
+    7163,
+    15355
+  ],
+  "covered": [
+    7163,
+    15355
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E60_palier2p14/metadata.json b/docs/artefacts/collatz/local_E60_palier2p14/metadata.json
new file mode 100644
index 0000000..4fd082c
--- /dev/null
+++ b/docs/artefacts/collatz/local_E60_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 60,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 4,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_D8_E60_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 11,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/candidats/candidats_F9to11_E60_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_F9to11_E60_palier2p14.json",
+    "clauses": 2,
+    "covered": 2
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/audits/verification_H6_E60_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_E60_B12.json b/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_E60_B12.json
new file mode 100644
index 0000000..498faed
--- /dev/null
+++ b/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_E60_B12.json
@@ -0,0 +1,6 @@
+{
+  "noyau": [
+    3067
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_Lift_E60_palier2p14.json b/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_Lift_E60_palier2p14.json
new file mode 100644
index 0000000..f909ea1
--- /dev/null
+++ b/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_Lift_E60_palier2p14.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    3067,
+    7163,
+    11259,
+    15355
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_post_D8_E60_palier2p14.json b/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_post_D8_E60_palier2p14.json
new file mode 100644
index 0000000..3c01aa2
--- /dev/null
+++ b/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_post_D8_E60_palier2p14.json
@@ -0,0 +1,7 @@
+{
+  "noyau": [
+    7163,
+    15355
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E6_palier2p14/audits/verification_H6_E6_palier2p14.md b/docs/artefacts/collatz/local_E6_palier2p14/audits/verification_H6_E6_palier2p14.md
new file mode 100644
index 0000000..c860d93
--- /dev/null
+++ b/docs/artefacts/collatz/local_E6_palier2p14/audits/verification_H6_E6_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E6) — 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_E6_palier2p14/noyaux/noyau_E6_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_Lift_E6_palier2p14.json`
+- taille : 32
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_D8_E6_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_F9to64_E6_palier2p14.json`
+  - covered : 30 classes
+
+## Résultat
+
+- |L| = 32
+- |U| = 32
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_D8_E6_palier2p14.csv b/docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_D8_E6_palier2p14.csv
new file mode 100644
index 0000000..0a9091e
--- /dev/null
+++ b/docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_D8_E6_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+4455,12647,13,14
diff --git a/docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_F9to64_E6_palier2p14.csv b/docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_F9to64_E6_palier2p14.csv
new file mode 100644
index 0000000..d780652
--- /dev/null
+++ b/docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_F9to64_E6_palier2p14.csv
@@ -0,0 +1,31 @@
+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
+9,6503,14,9,2,15,1 1 2 1 1 1 1 3 4,26027,3907,1,19572,4,5209,6,2407
+9,7015,14,9,1,14,1 1 2 1 1 1 1 1 5,24491,8429,2,9786,4,5619,6,2919
+10,2407,14,10,1,17,1 1 2 1 1 1 1 3 1 5,82177,1085,2,275118,1,723,6,2407
+10,8551,14,10,2,17,1 1 2 1 1 1 1 4 1 4,92417,3853,1,157020,2,5137,6,359
+10,15207,14,10,1,16,1 1 2 1 1 1 1 1 4 3,81665,13703,2,78510,2,9135,6,2919
+11,359,14,11,2,20,1 1 2 1 1 1 1 4 2 2 4,367363,61,1,2437140,1,81,6,359
+11,2919,14,11,1,17,1 1 2 1 1 1 1 1 3 2 3,249091,3947,2,38922,10,2631,6,2919
+11,13671,14,11,1,17,1 1 2 1 1 1 1 2 2 4 1,302851,18479,2,38922,13,12319,6,1383
+12,8039,14,12,2,20,1 1 2 1 1 1 1 1 1 1 3 6,693001,4075,1,1019964,2,5433,6,3943
+12,9063,14,12,1,21,1 1 2 1 1 1 1 1 2 1 2 7,708361,2297,2,5228574,1,1531,6,871
+12,11111,14,12,1,29,1 1 2 1 1 1 1 1 3 1 1 15,739081,11,2,1609549854,1,7,6,2919
+12,13159,14,12,1,21,1 1 2 1 1 1 1 1 2 2 3 5,769801,3335,2,5228574,1,2223,6,871
+12,14183,14,12,2,20,1 1 2 1 1 1 1 1 1 4 2 4,785161,7189,1,1019964,3,9585,6,1895
+12,15719,14,12,1,19,1 1 2 1 1 1 1 2 1 3 2 3,808201,15935,2,509982,3,10623,6,3431
+15,1895,14,15,2,25,1 1 2 1 1 1 1 1 1 2 2 1 1 5 4,21465587,811,1,43267668,2,1081,6,1895
+15,4967,14,15,2,25,1 1 2 1 1 1 1 1 2 4 2 1 2 1 4,32146931,2125,1,43267668,3,2833,6,871
+15,16231,14,15,1,24,1 1 2 1 1 1 1 1 1 1 2 4 1 1 5,20980211,13883,2,21633834,2,9255,6,3943
+16,5479,14,16,1,25,1 1 2 1 1 1 1 2 2 1 1 1 1 3 3 3,68227033,7031,2,14569854,8,4687,6,1383
+16,5991,14,16,2,28,1 1 2 1 1 1 1 1 1 3 2 1 2 3 1 6,73567705,961,1,633119484,1,1281,6,1895
+16,9575,14,16,1,25,1 1 2 1 1 1 1 2 3 2 2 1 1 1 4 1,110952409,12287,2,14569854,13,8191,6,1383
+22,871,14,22,1,35,1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 4 2 1 2 1 4 3,51808559857,797,2,40317095886,2,531,6,871
+22,10599,14,22,1,36,1 1 2 1 1 1 1 3 1 1 2 1 2 1 1 4 1 1 1 1 1 7,63136083185,4841,2,143396310990,1,3227,6,2407
+23,3431,14,23,1,36,1 1 2 1 1 1 1 2 1 1 2 1 1 3 2 3 1 1 2 1 1 1 5,182452533971,4703,2,17872072554,17,3135,6,3431
+23,14695,14,23,1,36,1 1 2 1 1 1 1 3 2 1 1 1 2 1 1 2 1 3 3 2 1 1 3,232651216595,20135,2,17872072554,23,13423,6,2407
+24,1383,14,24,1,42,1 1 2 1 1 1 1 2 4 1 1 1 1 1 1 2 1 1 2 5 2 1 1 7,826090535033,89,2,12629280460350,1,59,6,1383
+24,12135,14,24,2,39,1 1 2 1 1 1 1 1 1 1 1 1 1 1 3 3 2 1 3 1 1 2 4 4,445074394745,6235,1,519549295740,3,8313,6,3943
+25,3943,14,25,1,45,1 1 2 1 1 1 1 1 1 1 1 2 1 4 1 1 1 4 1 3 2 1 1 2 9,1656361405291,95,2,103858539047610,1,63,6,3943
+30,11623,14,30,2,48,1 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 6,309098634602641,8503,1,20860401753372,46,11337,6,3431
+46,7527,14,46,1,74,1 1 2 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 5,25147909289450410894289,3533,2,38942521555130740372494,1,2355,6,3431
+64,10087,14,64,1,101,1 1 2 1 1 1 1 1 1 2 1 2 1 1 1 1 2 3 2 2 2 2 1 1 1 2 1 1 4 1 2 1 2 2 1 1 1 1 3 1 2 1 1 1 1 7 1 1 3 2 1 1 1 3 1 1 1 1 1 3 2 1 2 3,14392811347849027767161652170137,13667,2,738535960784351439664521053694,36,9111,6,1895
diff --git a/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_D8_E6_palier2p14.json b/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_D8_E6_palier2p14.json
new file mode 100644
index 0000000..a538552
--- /dev/null
+++ b/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_D8_E6_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    4455
+  ],
+  "covered": [
+    4455,
+    12647
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_F9to64_E6_palier2p14.json b/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_F9to64_E6_palier2p14.json
new file mode 100644
index 0000000..4aa5c32
--- /dev/null
+++ b/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_F9to64_E6_palier2p14.json
@@ -0,0 +1,67 @@
+{
+  "clauses": [
+    359,
+    871,
+    1383,
+    1895,
+    2407,
+    2919,
+    3431,
+    3943,
+    4967,
+    5479,
+    5991,
+    6503,
+    7015,
+    7527,
+    8039,
+    8551,
+    9063,
+    9575,
+    10087,
+    10599,
+    11111,
+    11623,
+    12135,
+    13159,
+    13671,
+    14183,
+    14695,
+    15207,
+    15719,
+    16231
+  ],
+  "covered": [
+    359,
+    871,
+    1383,
+    1895,
+    2407,
+    2919,
+    3431,
+    3943,
+    4967,
+    5479,
+    5991,
+    6503,
+    7015,
+    7527,
+    8039,
+    8551,
+    9063,
+    9575,
+    10087,
+    10599,
+    11111,
+    11623,
+    12135,
+    13159,
+    13671,
+    14183,
+    14695,
+    15207,
+    15719,
+    16231
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E6_palier2p14/metadata.json b/docs/artefacts/collatz/local_E6_palier2p14/metadata.json
new file mode 100644
index 0000000..d013958
--- /dev/null
+++ b/docs/artefacts/collatz/local_E6_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 6,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 32,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_D8_E6_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 64,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_F9to64_E6_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_F9to64_E6_palier2p14.json",
+    "clauses": 30,
+    "covered": 30
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/audits/verification_H6_E6_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_E6_B12.json b/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_E6_B12.json
new file mode 100644
index 0000000..861a9a4
--- /dev/null
+++ b/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_E6_B12.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    359,
+    871,
+    1383,
+    1895,
+    2407,
+    2919,
+    3431,
+    3943
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_Lift_E6_palier2p14.json b/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_Lift_E6_palier2p14.json
new file mode 100644
index 0000000..14664d0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_Lift_E6_palier2p14.json
@@ -0,0 +1,37 @@
+{
+  "noyau": [
+    359,
+    871,
+    1383,
+    1895,
+    2407,
+    2919,
+    3431,
+    3943,
+    4455,
+    4967,
+    5479,
+    5991,
+    6503,
+    7015,
+    7527,
+    8039,
+    8551,
+    9063,
+    9575,
+    10087,
+    10599,
+    11111,
+    11623,
+    12135,
+    12647,
+    13159,
+    13671,
+    14183,
+    14695,
+    15207,
+    15719,
+    16231
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_post_D8_E6_palier2p14.json b/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_post_D8_E6_palier2p14.json
new file mode 100644
index 0000000..9b5dcd7
--- /dev/null
+++ b/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_post_D8_E6_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "noyau": [
+    359,
+    871,
+    1383,
+    1895,
+    2407,
+    2919,
+    3431,
+    3943,
+    4967,
+    5479,
+    5991,
+    6503,
+    7015,
+    7527,
+    8039,
+    8551,
+    9063,
+    9575,
+    10087,
+    10599,
+    11111,
+    11623,
+    12135,
+    13159,
+    13671,
+    14183,
+    14695,
+    15207,
+    15719,
+    16231
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E7_palier2p14/audits/verification_H6_E7_palier2p14.md b/docs/artefacts/collatz/local_E7_palier2p14/audits/verification_H6_E7_palier2p14.md
new file mode 100644
index 0000000..838316d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E7_palier2p14/audits/verification_H6_E7_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E7) — 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_E7_palier2p14/noyaux/noyau_E7_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_Lift_E7_palier2p14.json`
+- taille : 32
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_D8_E7_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_F9to45_E7_palier2p14.json`
+  - covered : 30 classes
+
+## Résultat
+
+- |L| = 32
+- |U| = 32
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_D8_E7_palier2p14.csv b/docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_D8_E7_palier2p14.csv
new file mode 100644
index 0000000..229ddfd
--- /dev/null
+++ b/docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_D8_E7_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+10523,2331,13,14
diff --git a/docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_F9to45_E7_palier2p14.csv b/docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_F9to45_E7_palier2p14.csv
new file mode 100644
index 0000000..5dd5b98
--- /dev/null
+++ b/docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_F9to45_E7_palier2p14.csv
@@ -0,0 +1,31 @@
+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
+9,12571,14,9,1,22,1 2 1 1 1 1 1 3 11,28943,59,2,12543546,1,39,7,283
+9,13083,14,9,1,14,1 2 1 1 1 1 1 1 5,27407,15719,2,9786,4,10479,7,795
+10,4379,14,10,1,16,1 2 1 1 1 1 1 3 2 3,95021,3947,2,78510,2,2631,7,283
+10,11035,14,10,2,19,1 2 1 1 1 1 1 1 2 8,84269,1243,1,1336668,1,1657,7,2843
+10,15643,14,10,1,20,1 2 1 1 1 1 1 2 3 7,91949,881,2,3027630,1,587,7,3355
+11,7451,14,11,1,17,1 2 1 1 1 1 1 2 4 2 1,365959,10073,2,38922,16,6715,7,3355
+11,12059,14,11,2,19,1 2 1 1 1 1 1 1 1 3 6,257927,4075,1,864276,1,5433,7,3867
+11,13595,14,11,1,20,1 2 1 1 1 1 1 2 1 2 7,265607,2297,2,2791434,1,1531,7,1307
+13,3355,14,13,2,24,1 2 1 1 1 1 1 2 2 2 2 2 6,2978239,319,1,43954356,1,425,7,3355
+13,5403,14,13,1,21,1 2 1 1 1 1 1 2 1 4 1 2 3,3070399,4109,2,3102810,2,2739,7,1307
+13,6427,14,13,1,24,1 2 1 1 1 1 1 4 2 1 2 2 5,4165055,611,2,47143002,1,407,7,2331
+14,2843,14,14,2,24,1 2 1 1 1 1 1 1 2 2 1 1 5 4,8341309,811,1,31199772,1,1081,7,2843
+14,3867,14,14,1,24,1 2 1 1 1 1 1 1 1 5 1 2 1 5,9528125,1103,2,40765710,1,735,7,3867
+14,9499,14,14,1,23,1 2 1 1 1 1 1 2 1 1 2 2 2 5,7667005,5417,2,15599886,1,3611,7,1307
+15,283,14,15,2,26,1 2 1 1 1 1 1 3 1 1 1 4 2 2 4,32900023,61,1,143930964,1,81,7,283
+15,6939,14,15,1,28,1 2 1 1 1 1 1 1 2 1 1 1 4 1 9,22488503,371,2,776608554,1,247,7,2843
+15,8987,14,15,2,27,1 2 1 1 1 1 1 1 3 2 1 2 3 1 6,29609399,961,1,345257556,1,1281,7,795
+16,8475,14,16,2,27,1 2 1 1 1 1 1 3 1 3 1 2 2 2 1 4,117041957,2719,1,230466300,2,3625,7,283
+16,11547,14,16,2,30,1 2 1 1 1 1 1 2 2 1 1 2 2 3 1 8,81977125,463,1,3049038588,1,617,7,3355
+16,14619,14,16,2,26,1 2 1 1 1 1 1 4 1 2 1 2 2 1 1 4,114021157,9379,1,29139708,14,12505,7,2331
+17,795,14,17,1,27,1 2 1 1 1 1 1 1 3 1 3 2 1 1 1 3 3,278567791,767,2,144372858,3,511,7,795
+21,1307,14,21,1,34,1 2 1 1 1 1 1 2 1 1 1 1 1 2 4 2 1 2 1 4 3,20674103327,797,2,30618901146,1,531,7,1307
+24,5915,14,24,1,44,1 2 1 1 1 1 1 1 1 1 2 1 4 1 1 1 4 1 3 2 1 1 2 9,686965934405,95,2,52211699060286,1,63,7,1819
+26,16155,14,26,1,41,1 2 1 1 1 1 1 1 1 2 1 3 1 1 2 2 2 1 2 4 2 1 2 1 1 3,7314887289709,18677,2,1513338109998,9,12451,7,3867
+27,14107,14,27,1,46,1 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 5,19506126936647,1529,2,195855037563018,1,1019,7,1819
+28,4891,14,28,1,44,1 2 1 1 1 1 1 1 4 1 2 2 1 1 1 1 1 2 2 4 2 1 1 2 2 1 1 3,83872275493589,6365,2,7022973223326,22,4243,7,795
+32,10011,14,32,1,55,1 2 1 1 1 1 1 1 1 1 1 2 2 2 1 2 1 1 1 3 1 1 1 5 3 1 1 1 4 1 2 7,4245354170663269,515,2,104380350679188222,1,343,7,1819
+38,1819,14,38,1,61,1 2 1 1 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 2 1 1 3 2 2 2 1 2 3 2 1 2 1 5 1 2 2 3,3135216383838836893,1067,2,4215825592295097678,1,711,7,1819
+45,7963,14,45,1,75,1 2 1 1 1 1 1 1 1 2 2 2 2 1 1 3 1 1 2 1 2 2 1 3 1 1 1 1 3 1 4 1 1 2 2 1 2 2 1 2 2 1 1 2 7,11082468358023002766655,623,2,107428170175769817731418,1,415,7,3867
+45,15131,14,45,1,71,1 2 1 1 1 1 1 1 2 1 2 1 1 1 1 2 3 2 2 2 2 1 1 1 2 1 1 4 1 2 1 2 2 1 1 1 1 3 1 2 1 1 1 1 7,7299113747701366499647,18935,2,1174924311202800423258,11,12623,7,2843
diff --git a/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_D8_E7_palier2p14.json b/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_D8_E7_palier2p14.json
new file mode 100644
index 0000000..11391bb
--- /dev/null
+++ b/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_D8_E7_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    10523
+  ],
+  "covered": [
+    2331,
+    10523
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_F9to45_E7_palier2p14.json b/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_F9to45_E7_palier2p14.json
new file mode 100644
index 0000000..0d4b148
--- /dev/null
+++ b/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_F9to45_E7_palier2p14.json
@@ -0,0 +1,67 @@
+{
+  "clauses": [
+    283,
+    795,
+    1307,
+    1819,
+    2843,
+    3355,
+    3867,
+    4379,
+    4891,
+    5403,
+    5915,
+    6427,
+    6939,
+    7451,
+    7963,
+    8475,
+    8987,
+    9499,
+    10011,
+    11035,
+    11547,
+    12059,
+    12571,
+    13083,
+    13595,
+    14107,
+    14619,
+    15131,
+    15643,
+    16155
+  ],
+  "covered": [
+    283,
+    795,
+    1307,
+    1819,
+    2843,
+    3355,
+    3867,
+    4379,
+    4891,
+    5403,
+    5915,
+    6427,
+    6939,
+    7451,
+    7963,
+    8475,
+    8987,
+    9499,
+    10011,
+    11035,
+    11547,
+    12059,
+    12571,
+    13083,
+    13595,
+    14107,
+    14619,
+    15131,
+    15643,
+    16155
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E7_palier2p14/metadata.json b/docs/artefacts/collatz/local_E7_palier2p14/metadata.json
new file mode 100644
index 0000000..35ee5b9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E7_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 7,
+  "base_palier": 12,
+  "target_palier": 14,
+  "delta_m": 2,
+  "lift_size": 32,
+  "d8": {
+    "k": 8,
+    "threshold_Ak": 13,
+    "candidates": 1,
+    "covered": 2,
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_D8_E7_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 45,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_F9to45_E7_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_F9to45_E7_palier2p14.json",
+    "clauses": 30,
+    "covered": 30
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/audits/verification_H6_E7_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_E7_B12.json b/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_E7_B12.json
new file mode 100644
index 0000000..fe4f751
--- /dev/null
+++ b/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_E7_B12.json
@@ -0,0 +1,13 @@
+{
+  "noyau": [
+    283,
+    795,
+    1307,
+    1819,
+    2331,
+    2843,
+    3355,
+    3867
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_Lift_E7_palier2p14.json b/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_Lift_E7_palier2p14.json
new file mode 100644
index 0000000..46252b0
--- /dev/null
+++ b/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_Lift_E7_palier2p14.json
@@ -0,0 +1,37 @@
+{
+  "noyau": [
+    283,
+    795,
+    1307,
+    1819,
+    2331,
+    2843,
+    3355,
+    3867,
+    4379,
+    4891,
+    5403,
+    5915,
+    6427,
+    6939,
+    7451,
+    7963,
+    8475,
+    8987,
+    9499,
+    10011,
+    10523,
+    11035,
+    11547,
+    12059,
+    12571,
+    13083,
+    13595,
+    14107,
+    14619,
+    15131,
+    15643,
+    16155
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_post_D8_E7_palier2p14.json b/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_post_D8_E7_palier2p14.json
new file mode 100644
index 0000000..cbd67b9
--- /dev/null
+++ b/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_post_D8_E7_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "noyau": [
+    283,
+    795,
+    1307,
+    1819,
+    2843,
+    3355,
+    3867,
+    4379,
+    4891,
+    5403,
+    5915,
+    6427,
+    6939,
+    7451,
+    7963,
+    8475,
+    8987,
+    9499,
+    10011,
+    11035,
+    11547,
+    12059,
+    12571,
+    13083,
+    13595,
+    14107,
+    14619,
+    15131,
+    15643,
+    16155
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E8_palier2p14/audits/verification_H6_E8_palier2p14.md b/docs/artefacts/collatz/local_E8_palier2p14/audits/verification_H6_E8_palier2p14.md
new file mode 100644
index 0000000..cd84342
--- /dev/null
+++ b/docs/artefacts/collatz/local_E8_palier2p14/audits/verification_H6_E8_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E8) — 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_E8_palier2p14/noyaux/noyau_E8_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_Lift_E8_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_D8_E8_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_F9to28_E8_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_D8_E8_palier2p14.csv b/docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_D8_E8_palier2p14.csv
new file mode 100644
index 0000000..3fec8da
--- /dev/null
+++ b/docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_D8_E8_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+12159,3967,13,14
diff --git a/docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_F9to28_E8_palier2p14.csv b/docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_F9to28_E8_palier2p14.csv
new file mode 100644
index 0000000..60cb599
--- /dev/null
+++ b/docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_F9to28_E8_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
+9,8063,14,9,1,17,1 1 1 1 1 1 3 3 5,24163,1211,2,353850,1,807,8,3967
+9,9087,14,9,1,15,1 1 1 1 1 1 3 1 5,21091,5459,2,58938,1,3639,8,895
+9,14207,14,9,1,14,1 1 1 1 1 1 3 2 3,22115,17069,2,9786,3,11379,8,1919
+10,4991,14,10,1,17,1 1 1 1 1 1 3 1 2 5,67369,2249,2,275118,1,1499,8,895
+11,7039,14,11,1,17,1 1 1 1 1 1 3 1 1 3 3,212347,9515,2,38922,8,6343,8,2943
+11,10111,14,11,1,17,1 1 1 1 1 1 3 2 1 2 3,227707,13667,2,38922,9,9111,8,1919
+11,16255,14,11,1,17,1 1 1 1 1 1 3 3 1 1 3,258427,21971,2,38922,10,14647,8,3967
+12,15231,14,12,1,23,1 1 1 1 1 1 3 1 1 2 1 9,628849,965,2,24102942,1,643,8,2943
+13,1919,14,13,1,23,1 1 1 1 1 1 3 2 1 1 2 3 5,2336083,365,2,21977178,1,243,8,1919
+13,6015,14,13,2,22,1 1 1 1 1 1 3 2 2 1 1 3 4,2520403,2287,1,6205620,1,3049,8,1919
+15,895,14,15,1,24,1 1 1 1 1 1 3 1 3 2 1 1 1 3 3,25852907,767,2,21633834,2,511,8,895
+18,2943,14,18,2,29,1 1 1 1 1 1 3 1 1 1 1 2 4 2 1 2 1 4,672188873,2125,1,60930780,36,2833,8,2943
+22,11135,14,22,1,37,1 1 1 1 1 1 3 1 1 1 3 1 2 2 3 2 1 1 1 3 1 5,79159933081,2543,2,349554741198,1,1695,8,2943
+28,13183,14,28,1,45,1 1 1 1 1 1 3 1 2 1 2 1 2 2 1 2 2 1 1 3 1 1 1 1 1 3 4 3,50866983805873,8573,2,59799531356574,2,5715,8,895
diff --git a/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_D8_E8_palier2p14.json b/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_D8_E8_palier2p14.json
new file mode 100644
index 0000000..8f183b5
--- /dev/null
+++ b/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_D8_E8_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    12159
+  ],
+  "covered": [
+    3967,
+    12159
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_F9to28_E8_palier2p14.json b/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_F9to28_E8_palier2p14.json
new file mode 100644
index 0000000..30a138b
--- /dev/null
+++ b/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_F9to28_E8_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    895,
+    1919,
+    2943,
+    4991,
+    6015,
+    7039,
+    8063,
+    9087,
+    10111,
+    11135,
+    13183,
+    14207,
+    15231,
+    16255
+  ],
+  "covered": [
+    895,
+    1919,
+    2943,
+    4991,
+    6015,
+    7039,
+    8063,
+    9087,
+    10111,
+    11135,
+    13183,
+    14207,
+    15231,
+    16255
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E8_palier2p14/metadata.json b/docs/artefacts/collatz/local_E8_palier2p14/metadata.json
new file mode 100644
index 0000000..0dfa6ba
--- /dev/null
+++ b/docs/artefacts/collatz/local_E8_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 8,
+  "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_E8_palier2p14/certificats/certificat_D8_E8_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 28,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_F9to28_E8_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_F9to28_E8_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/audits/verification_H6_E8_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_E8_B12.json b/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_E8_B12.json
new file mode 100644
index 0000000..609e6cf
--- /dev/null
+++ b/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_E8_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    895,
+    1919,
+    2943,
+    3967
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_Lift_E8_palier2p14.json b/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_Lift_E8_palier2p14.json
new file mode 100644
index 0000000..299daab
--- /dev/null
+++ b/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_Lift_E8_palier2p14.json
@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    895,
+    1919,
+    2943,
+    3967,
+    4991,
+    6015,
+    7039,
+    8063,
+    9087,
+    10111,
+    11135,
+    12159,
+    13183,
+    14207,
+    15231,
+    16255
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_post_D8_E8_palier2p14.json b/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_post_D8_E8_palier2p14.json
new file mode 100644
index 0000000..3f03c6a
--- /dev/null
+++ b/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_post_D8_E8_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    895,
+    1919,
+    2943,
+    4991,
+    6015,
+    7039,
+    8063,
+    9087,
+    10111,
+    11135,
+    13183,
+    14207,
+    15231,
+    16255
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E9_palier2p14/audits/verification_H6_E9_palier2p14.md b/docs/artefacts/collatz/local_E9_palier2p14/audits/verification_H6_E9_palier2p14.md
new file mode 100644
index 0000000..efe0609
--- /dev/null
+++ b/docs/artefacts/collatz/local_E9_palier2p14/audits/verification_H6_E9_palier2p14.md
@@ -0,0 +1,27 @@
+**Auteur** : Équipe 4NK
+
+# Vérification H6(E9) — 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_E9_palier2p14/noyaux/noyau_E9_B12.json`
+- relevé : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_Lift_E9_palier2p14.json`
+- taille : 16
+
+## Certificats utilisés (local)
+
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_D8_E9_palier2p14.json`
+  - covered : 2 classes
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_F9to52_E9_palier2p14.json`
+  - covered : 14 classes
+
+## Résultat
+
+- |L| = 16
+- |U| = 16
+- |L \ U| = 0
+
diff --git a/docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_D8_E9_palier2p14.csv b/docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_D8_E9_palier2p14.csv
new file mode 100644
index 0000000..60a2f27
--- /dev/null
+++ b/docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_D8_E9_palier2p14.csv
@@ -0,0 +1,2 @@
+classe_mod_2^m,sœur,A8,palier
+9919,1727,13,14
diff --git a/docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_F9to52_E9_palier2p14.csv b/docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_F9to52_E9_palier2p14.csv
new file mode 100644
index 0000000..f27c874
--- /dev/null
+++ b/docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_F9to52_E9_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
+9,11967,14,9,2,15,1 1 1 1 1 2 2 2 4,22691,7189,1,19572,3,9585,9,3775
+10,4799,14,10,1,16,1 1 1 1 1 2 2 1 1 5,67049,4325,2,78510,1,2883,9,703
+10,5823,14,10,1,23,1 1 1 1 1 2 2 3 2 9,90601,41,2,25047726,1,27,9,1727
+10,14015,14,10,1,16,1 1 1 1 1 2 2 3 1 3,82409,12629,2,78510,2,8419,9,1727
+11,3775,14,11,2,21,1 1 1 1 1 2 2 2 2 2 6,261563,319,1,5582868,1,425,9,3775
+11,6847,14,11,1,20,1 1 1 1 1 2 2 1 4 1 5,276923,1157,2,2791434,1,771,9,2751
+11,7871,14,11,1,21,1 1 1 1 1 2 2 2 1 4 5,282043,665,2,5937162,1,443,9,3775
+14,12991,14,14,2,27,1 1 1 1 1 2 2 1 1 2 2 3 1 8,7257785,463,1,383521308,1,617,9,703
+17,8895,14,17,2,31,1 1 1 1 1 2 2 1 1 1 2 1 2 1 3 4 6,202001795,535,1,5925890292,1,713,9,703
+18,10943,14,18,2,30,1 1 1 1 1 2 2 1 2 1 1 1 2 1 4 2 2 4,664051849,3949,1,1671543516,1,5265,9,2751
+18,16063,14,18,2,29,1 1 1 1 1 2 2 2 1 1 2 3 1 1 3 1 1 4,809168009,11593,1,60930780,45,15457,9,3775
+27,2751,14,27,1,43,1 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 3,18255362811259,2387,2,11137084096650,3,1591,9,2751
+51,703,14,51,2,83,1 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 6,4363973393857133714501915,157,1,20399443818448869127705236,1,209,9,703
+52,15039,14,52,1,83,1 1 1 1 1 2 2 1 3 2 1 1 1 1 3 1 1 1 1 1 1 1 4 3 2 1 2 1 1 1 1 1 2 1 2 2 1 2 1 1 1 1 1 1 4 4 2 1 3 1 1 5,19753958379328870336928593,10049,2,16092055892297753595083742,2,6699,9,2751
diff --git a/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_D8_E9_palier2p14.json b/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_D8_E9_palier2p14.json
new file mode 100644
index 0000000..1908b29
--- /dev/null
+++ b/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_D8_E9_palier2p14.json
@@ -0,0 +1,10 @@
+{
+  "clauses": [
+    9919
+  ],
+  "covered": [
+    1727,
+    9919
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_F9to52_E9_palier2p14.json b/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_F9to52_E9_palier2p14.json
new file mode 100644
index 0000000..baea748
--- /dev/null
+++ b/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_F9to52_E9_palier2p14.json
@@ -0,0 +1,35 @@
+{
+  "clauses": [
+    703,
+    2751,
+    3775,
+    4799,
+    5823,
+    6847,
+    7871,
+    8895,
+    10943,
+    11967,
+    12991,
+    14015,
+    15039,
+    16063
+  ],
+  "covered": [
+    703,
+    2751,
+    3775,
+    4799,
+    5823,
+    6847,
+    7871,
+    8895,
+    10943,
+    11967,
+    12991,
+    14015,
+    15039,
+    16063
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E9_palier2p14/metadata.json b/docs/artefacts/collatz/local_E9_palier2p14/metadata.json
new file mode 100644
index 0000000..c2fdf87
--- /dev/null
+++ b/docs/artefacts/collatz/local_E9_palier2p14/metadata.json
@@ -0,0 +1,25 @@
+{
+  "state_id": 9,
+  "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_E9_palier2p14/certificats/certificat_D8_E9_palier2p14.json"
+  },
+  "fusion": {
+    "t_min": 9,
+    "t_max_search": 120,
+    "t_max_used": 52,
+    "merged_csv": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_F9to52_E9_palier2p14.csv",
+    "certificate": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_F9to52_E9_palier2p14.json",
+    "clauses": 14,
+    "covered": 14
+  },
+  "verification_md": "/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/audits/verification_H6_E9_palier2p14.md",
+  "success": true
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_E9_B12.json b/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_E9_B12.json
new file mode 100644
index 0000000..926ddaf
--- /dev/null
+++ b/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_E9_B12.json
@@ -0,0 +1,9 @@
+{
+  "noyau": [
+    703,
+    1727,
+    2751,
+    3775
+  ],
+  "palier": 12
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_Lift_E9_palier2p14.json b/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_Lift_E9_palier2p14.json
new file mode 100644
index 0000000..b60d521
--- /dev/null
+++ b/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_Lift_E9_palier2p14.json
@@ -0,0 +1,21 @@
+{
+  "noyau": [
+    703,
+    1727,
+    2751,
+    3775,
+    4799,
+    5823,
+    6847,
+    7871,
+    8895,
+    9919,
+    10943,
+    11967,
+    12991,
+    14015,
+    15039,
+    16063
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_post_D8_E9_palier2p14.json b/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_post_D8_E9_palier2p14.json
new file mode 100644
index 0000000..4a60f7d
--- /dev/null
+++ b/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_post_D8_E9_palier2p14.json
@@ -0,0 +1,19 @@
+{
+  "noyau": [
+    703,
+    2751,
+    3775,
+    4799,
+    5823,
+    6847,
+    7871,
+    8895,
+    10943,
+    11967,
+    12991,
+    14015,
+    15039,
+    16063
+  ],
+  "palier": 14
+}
\ No newline at end of file
diff --git a/docs/artefacts/collatz/local_H6_index.md b/docs/artefacts/collatz/local_H6_index.md
index b7f3b46..05b56f2 100644
--- a/docs/artefacts/collatz/local_H6_index.md
+++ b/docs/artefacts/collatz/local_H6_index.md
@@ -6,64 +6,64 @@
 
 | etat_id | mot_7 | |B12(E)| | palier | Δm(E) | D8_cand | D8_cov | F_tmin | F_tmax_used | F_clauses | F_cov | |covered_total| | artefacts | report |
 | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
-| 1 | 1 1 1 1 1 1 1 | 16 | 2^13 | 1 | 1 | 2 | 9 | 36 | 30 | 30 | 32 | `docs/artefacts/collatz/local_E1_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E1_palier2p13.md` |
-| 2 | 1 1 1 1 1 1 2 | 8 | 2^13 | 1 | 1 | 2 | 9 | 23 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E2_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E2_palier2p13.md` |
-| 3 | 1 1 1 1 1 2 1 | 8 | 2^13 | 1 | 1 | 2 | 9 | 28 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E3_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E3_palier2p13.md` |
-| 4 | 1 1 1 1 2 1 1 | 8 | 2^13 | 1 | 1 | 2 | 9 | 44 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E4_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E4_palier2p13.md` |
-| 5 | 1 1 1 2 1 1 1 | 8 | 2^13 | 1 | 1 | 2 | 9 | 43 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E5_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E5_palier2p13.md` |
-| 6 | 1 1 2 1 1 1 1 | 8 | 2^13 | 1 | 1 | 2 | 9 | 46 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E6_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E6_palier2p13.md` |
-| 7 | 1 2 1 1 1 1 1 | 8 | 2^13 | 1 | 0 | 0 | 9 | 45 | 16 | 16 | 16 | `docs/artefacts/collatz/local_E7_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E7_palier2p13.md` |
-| 8 | 1 1 1 1 1 1 3 | 4 | 2^13 | 1 | 0 | 0 | 9 | 18 | 8 | 8 | 8 | `docs/artefacts/collatz/local_E8_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E8_palier2p13.md` |
-| 9 | 1 1 1 1 1 2 2 | 4 | 2^13 | 1 | 0 | 0 | 9 | 51 | 8 | 8 | 8 | `docs/artefacts/collatz/local_E9_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E9_palier2p13.md` |
-| 10 | 1 1 1 1 1 3 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 18 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E10_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E10_palier2p13.md` |
-| 11 | 1 1 1 1 2 1 2 | 4 | 2^13 | 1 | 0 | 0 | 9 | 17 | 8 | 8 | 8 | `docs/artefacts/collatz/local_E11_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E11_palier2p13.md` |
-| 12 | 1 1 1 1 2 2 1 | 4 | 2^13 | 1 | 0 | 0 | 9 | 50 | 8 | 8 | 8 | `docs/artefacts/collatz/local_E12_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E12_palier2p13.md` |
-| 13 | 1 1 1 1 3 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 24 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E13_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E13_palier2p13.md` |
-| 14 | 1 1 1 2 1 1 2 | 4 | 2^13 | 1 | 0 | 0 | 9 | 41 | 8 | 8 | 8 | `docs/artefacts/collatz/local_E14_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E14_palier2p13.md` |
-| 15 | 1 1 1 2 1 2 1 | 4 | 2^13 | 1 | 0 | 0 | 9 | 36 | 8 | 8 | 8 | `docs/artefacts/collatz/local_E15_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E15_palier2p13.md` |
-| 16 | 1 1 1 2 2 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 49 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E16_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E16_palier2p13.md` |
-| 17 | 1 1 2 1 1 1 2 | 4 | 2^13 | 1 | 0 | 0 | 9 | 26 | 8 | 8 | 8 | `docs/artefacts/collatz/local_E17_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E17_palier2p13.md` |
-| 18 | 1 1 2 1 1 2 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 36 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E18_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E18_palier2p13.md` |
-| 19 | 1 1 2 1 2 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 35 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E19_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E19_palier2p13.md` |
-| 20 | 1 1 2 2 1 1 1 | 4 | 2^13 | 1 | 0 | 0 | 9 | 31 | 8 | 8 | 8 | `docs/artefacts/collatz/local_E20_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E20_palier2p13.md` |
-| 21 | 1 2 1 1 1 1 2 | 4 | 2^13 | 1 | 1 | 2 | 9 | 37 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E21_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E21_palier2p13.md` |
-| 22 | 1 2 1 1 1 2 1 | 4 | 2^13 | 1 | 0 | 0 | 9 | 24 | 8 | 8 | 8 | `docs/artefacts/collatz/local_E22_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E22_palier2p13.md` |
-| 23 | 1 2 1 1 2 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 28 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E23_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E23_palier2p13.md` |
-| 24 | 1 2 1 2 1 1 1 | 4 | 2^13 | 1 | 1 | 2 | 9 | 30 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E24_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E24_palier2p13.md` |
-| 25 | 1 1 1 1 1 1 4 | 2 | 2^13 | 1 | 0 | 0 | 9 | 51 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E25_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E25_palier2p13.md` |
-| 26 | 1 1 1 1 1 2 3 | 2 | 2^13 | 1 | 0 | 0 | 9 | 27 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E26_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E26_palier2p13.md` |
-| 27 | 1 1 1 1 1 3 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 11 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E27_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E27_palier2p13.md` |
-| 28 | 1 1 1 1 1 4 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 50 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E28_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E28_palier2p13.md` |
-| 29 | 1 1 1 1 2 1 3 | 2 | 2^13 | 1 | 0 | 0 | 9 | 12 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E29_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E29_palier2p13.md` |
-| 30 | 1 1 1 1 2 2 2 | 2 | 2^13 | 1 | 0 | 0 | 9 | 11 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E30_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E30_palier2p13.md` |
-| 31 | 1 1 1 1 3 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 16 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E31_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E31_palier2p13.md` |
-| 32 | 1 1 1 1 3 2 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 19 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E32_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E32_palier2p13.md` |
-| 33 | 1 1 1 2 1 1 3 | 2 | 2^13 | 1 | 0 | 0 | 9 | 18 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E33_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E33_palier2p13.md` |
-| 34 | 1 1 1 2 1 2 2 | 2 | 2^13 | 1 | 0 | 0 | 9 | 14 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E34_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E34_palier2p13.md` |
-| 35 | 1 1 1 2 2 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 34 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E35_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E35_palier2p13.md` |
-| 36 | 1 1 1 2 2 2 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 11 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E36_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E36_palier2p13.md` |
-| 37 | 1 1 2 1 1 1 3 | 2 | 2^13 | 1 | 0 | 0 | 9 | 23 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E37_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E37_palier2p13.md` |
-| 38 | 1 1 2 1 1 2 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 18 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E38_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E38_palier2p13.md` |
-| 39 | 1 1 2 1 2 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 23 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E39_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E39_palier2p13.md` |
-| 40 | 1 1 2 1 2 2 1 | 2 | 2^13 | 1 | 1 | 2 | 9 | 16 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E40_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E40_palier2p13.md` |
-| 41 | 1 1 2 2 1 1 2 | 2 | 2^13 | 1 | 0 | 0 | 9 | 14 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E41_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E41_palier2p13.md` |
-| 42 | 1 1 2 2 1 2 1 | 2 | 2^13 | 1 | 1 | 2 | 9 | 33 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E42_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E42_palier2p13.md` |
-| 43 | 1 2 1 1 1 1 3 | 2 | 2^13 | 1 | 1 | 2 | 9 | 12 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E43_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E43_palier2p13.md` |
-| 44 | 1 2 1 1 1 2 2 | 2 | 2^13 | 1 | 0 | 0 | 9 | 25 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E44_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E44_palier2p13.md` |
-| 45 | 1 2 1 1 2 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 13 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E45_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E45_palier2p13.md` |
-| 46 | 1 2 1 1 2 2 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 16 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E46_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E46_palier2p13.md` |
-| 47 | 1 2 1 2 1 1 2 | 2 | 2^13 | 1 | 1 | 2 | 9 | 11 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E47_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E47_palier2p13.md` |
-| 48 | 1 2 1 2 1 2 1 | 2 | 2^13 | 1 | 0 | 0 | 9 | 11 | 4 | 4 | 4 | `docs/artefacts/collatz/local_E48_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E48_palier2p13.md` |
-| 49 | 1 1 1 1 1 2 4 | 1 | 2^13 | 1 | 0 | 0 | 9 | 9 | 2 | 2 | 2 | `docs/artefacts/collatz/local_E49_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E49_palier2p13.md` |
-| 50 | 1 1 1 1 1 4 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 11 | 2 | 2 | 2 | `docs/artefacts/collatz/local_E50_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E50_palier2p13.md` |
-| 51 | 1 1 1 1 2 1 4 | 1 | 2^13 | 1 | 0 | 0 | 9 | 23 | 2 | 2 | 2 | `docs/artefacts/collatz/local_E51_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E51_palier2p13.md` |
-| 52 | 1 1 1 1 3 2 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 10 | 2 | 2 | 2 | `docs/artefacts/collatz/local_E52_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E52_palier2p13.md` |
-| 53 | 1 1 1 2 1 1 4 | 1 | 2^13 | 1 | 0 | 0 | 9 | 15 | 2 | 2 | 2 | `docs/artefacts/collatz/local_E53_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E53_palier2p13.md` |
-| 54 | 1 1 1 2 2 2 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 20 | 2 | 2 | 2 | `docs/artefacts/collatz/local_E54_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E54_palier2p13.md` |
-| 55 | 1 1 2 1 1 1 4 | 1 | 2^13 | 1 | 0 | 0 | 9 | 9 | 2 | 2 | 2 | `docs/artefacts/collatz/local_E55_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E55_palier2p13.md` |
-| 56 | 1 1 2 1 2 2 2 | 1 | 2^13 | 1 | 1 | 2 | 9 |  | 0 | 0 | 2 | `docs/artefacts/collatz/local_E56_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E56_palier2p13.md` |
-| 57 | 1 1 2 2 1 2 2 | 1 | 2^13 | 1 | 1 | 2 | 9 |  | 0 | 0 | 2 | `docs/artefacts/collatz/local_E57_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E57_palier2p13.md` |
-| 58 | 1 2 1 1 1 1 4 | 1 | 2^13 | 1 | 1 | 2 | 9 |  | 0 | 0 | 2 | `docs/artefacts/collatz/local_E58_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E58_palier2p13.md` |
-| 59 | 1 2 1 1 2 2 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 10 | 2 | 2 | 2 | `docs/artefacts/collatz/local_E59_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E59_palier2p13.md` |
-| 60 | 1 2 1 2 1 2 2 | 1 | 2^13 | 1 | 0 | 0 | 9 | 9 | 2 | 2 | 2 | `docs/artefacts/collatz/local_E60_palier2p13` | `docs/collatz_run_report_2026-03-09_local_H6_E60_palier2p13.md` |
+| 1 | 1 1 1 1 1 1 1 | 16 | 2^14 | 2 | 1 | 2 | 9 | 43 | 62 | 62 | 64 | `docs/artefacts/collatz/local_E1_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E1_palier2p14.md` |
+| 2 | 1 1 1 1 1 1 2 | 8 | 2^14 | 2 | 1 | 2 | 9 | 42 | 30 | 30 | 32 | `docs/artefacts/collatz/local_E2_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E2_palier2p14.md` |
+| 3 | 1 1 1 1 1 2 1 | 8 | 2^14 | 2 | 1 | 2 | 9 | 35 | 30 | 30 | 32 | `docs/artefacts/collatz/local_E3_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E3_palier2p14.md` |
+| 4 | 1 1 1 1 2 1 1 | 8 | 2^14 | 2 | 1 | 2 | 9 | 44 | 30 | 30 | 32 | `docs/artefacts/collatz/local_E4_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E4_palier2p14.md` |
+| 5 | 1 1 1 2 1 1 1 | 8 | 2^14 | 2 | 1 | 2 | 9 | 43 | 30 | 30 | 32 | `docs/artefacts/collatz/local_E5_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E5_palier2p14.md` |
+| 6 | 1 1 2 1 1 1 1 | 8 | 2^14 | 2 | 1 | 2 | 9 | 64 | 30 | 30 | 32 | `docs/artefacts/collatz/local_E6_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E6_palier2p14.md` |
+| 7 | 1 2 1 1 1 1 1 | 8 | 2^14 | 2 | 1 | 2 | 9 | 45 | 30 | 30 | 32 | `docs/artefacts/collatz/local_E7_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E7_palier2p14.md` |
+| 8 | 1 1 1 1 1 1 3 | 4 | 2^14 | 2 | 1 | 2 | 9 | 28 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E8_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E8_palier2p14.md` |
+| 9 | 1 1 1 1 1 2 2 | 4 | 2^14 | 2 | 1 | 2 | 9 | 52 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E9_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E9_palier2p14.md` |
+| 10 | 1 1 1 1 1 3 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 18 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E10_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E10_palier2p14.md` |
+| 11 | 1 1 1 1 2 1 2 | 4 | 2^14 | 2 | 1 | 2 | 9 | 43 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E11_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E11_palier2p14.md` |
+| 12 | 1 1 1 1 2 2 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 50 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E12_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E12_palier2p14.md` |
+| 13 | 1 1 1 1 3 1 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 24 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E13_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E13_palier2p14.md` |
+| 14 | 1 1 1 2 1 1 2 | 4 | 2^14 | 2 | 1 | 2 | 9 | 41 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E14_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E14_palier2p14.md` |
+| 15 | 1 1 1 2 1 2 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 47 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E15_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E15_palier2p14.md` |
+| 16 | 1 1 1 2 2 1 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 49 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E16_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E16_palier2p14.md` |
+| 17 | 1 1 2 1 1 1 2 | 4 | 2^14 | 2 | 1 | 2 | 9 | 26 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E17_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E17_palier2p14.md` |
+| 18 | 1 1 2 1 1 2 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 36 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E18_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E18_palier2p14.md` |
+| 19 | 1 1 2 1 2 1 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 35 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E19_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E19_palier2p14.md` |
+| 20 | 1 1 2 2 1 1 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 31 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E20_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E20_palier2p14.md` |
+| 21 | 1 2 1 1 1 1 2 | 4 | 2^14 | 2 | 1 | 2 | 9 | 45 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E21_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E21_palier2p14.md` |
+| 22 | 1 2 1 1 1 2 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 30 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E22_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E22_palier2p14.md` |
+| 23 | 1 2 1 1 2 1 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 33 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E23_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E23_palier2p14.md` |
+| 24 | 1 2 1 2 1 1 1 | 4 | 2^14 | 2 | 1 | 2 | 9 | 30 | 14 | 14 | 16 | `docs/artefacts/collatz/local_E24_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E24_palier2p14.md` |
+| 25 | 1 1 1 1 1 1 4 | 2 | 2^14 | 2 | 1 | 2 | 9 | 51 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E25_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E25_palier2p14.md` |
+| 26 | 1 1 1 1 1 2 3 | 2 | 2^14 | 2 | 1 | 2 | 9 | 27 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E26_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E26_palier2p14.md` |
+| 27 | 1 1 1 1 1 3 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 17 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E27_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E27_palier2p14.md` |
+| 28 | 1 1 1 1 1 4 1 | 2 | 2^14 | 2 | 1 | 2 | 9 | 50 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E28_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E28_palier2p14.md` |
+| 29 | 1 1 1 1 2 1 3 | 2 | 2^14 | 2 | 1 | 2 | 9 | 16 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E29_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E29_palier2p14.md` |
+| 30 | 1 1 1 1 2 2 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 14 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E30_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E30_palier2p14.md` |
+| 31 | 1 1 1 1 3 1 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 35 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E31_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E31_palier2p14.md` |
+| 32 | 1 1 1 1 3 2 1 | 2 | 2^14 | 2 | 1 | 2 | 9 | 36 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E32_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E32_palier2p14.md` |
+| 33 | 1 1 1 2 1 1 3 | 2 | 2^14 | 2 | 1 | 2 | 9 | 18 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E33_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E33_palier2p14.md` |
+| 34 | 1 1 1 2 1 2 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 18 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E34_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E34_palier2p14.md` |
+| 35 | 1 1 1 2 2 1 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 34 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E35_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E35_palier2p14.md` |
+| 36 | 1 1 1 2 2 2 1 | 2 | 2^14 | 2 | 1 | 2 | 9 | 13 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E36_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E36_palier2p14.md` |
+| 37 | 1 1 2 1 1 1 3 | 2 | 2^14 | 2 | 1 | 2 | 9 | 23 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E37_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E37_palier2p14.md` |
+| 38 | 1 1 2 1 1 2 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 19 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E38_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E38_palier2p14.md` |
+| 39 | 1 1 2 1 2 1 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 35 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E39_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E39_palier2p14.md` |
+| 40 | 1 1 2 1 2 2 1 | 2 | 2^14 | 2 | 1 | 2 | 9 | 16 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E40_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E40_palier2p14.md` |
+| 41 | 1 1 2 2 1 1 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 14 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E41_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E41_palier2p14.md` |
+| 42 | 1 1 2 2 1 2 1 | 2 | 2^14 | 2 | 1 | 2 | 9 | 33 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E42_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E42_palier2p14.md` |
+| 43 | 1 2 1 1 1 1 3 | 2 | 2^14 | 2 | 1 | 2 | 9 | 21 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E43_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E43_palier2p14.md` |
+| 44 | 1 2 1 1 1 2 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 25 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E44_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E44_palier2p14.md` |
+| 45 | 1 2 1 1 2 1 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 14 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E45_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E45_palier2p14.md` |
+| 46 | 1 2 1 1 2 2 1 | 2 | 2^14 | 2 | 1 | 2 | 9 | 16 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E46_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E46_palier2p14.md` |
+| 47 | 1 2 1 2 1 1 2 | 2 | 2^14 | 2 | 1 | 2 | 9 | 15 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E47_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E47_palier2p14.md` |
+| 48 | 1 2 1 2 1 2 1 | 2 | 2^14 | 2 | 1 | 2 | 9 | 34 | 6 | 6 | 8 | `docs/artefacts/collatz/local_E48_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E48_palier2p14.md` |
+| 49 | 1 1 1 1 1 2 4 | 1 | 2^14 | 2 | 1 | 2 | 9 | 11 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E49_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E49_palier2p14.md` |
+| 50 | 1 1 1 1 1 4 2 | 1 | 2^14 | 2 | 1 | 2 | 9 | 11 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E50_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E50_palier2p14.md` |
+| 51 | 1 1 1 1 2 1 4 | 1 | 2^14 | 2 | 1 | 2 | 9 | 23 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E51_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E51_palier2p14.md` |
+| 52 | 1 1 1 1 3 2 2 | 1 | 2^14 | 2 | 1 | 2 | 9 | 10 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E52_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E52_palier2p14.md` |
+| 53 | 1 1 1 2 1 1 4 | 1 | 2^14 | 2 | 1 | 2 | 9 | 18 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E53_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E53_palier2p14.md` |
+| 54 | 1 1 1 2 2 2 2 | 1 | 2^14 | 2 | 1 | 2 | 9 | 20 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E54_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E54_palier2p14.md` |
+| 55 | 1 1 2 1 1 1 4 | 1 | 2^14 | 2 | 1 | 2 | 9 | 13 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E55_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E55_palier2p14.md` |
+| 56 | 1 1 2 1 2 2 2 | 1 | 2^14 | 2 | 1 | 2 | 9 | 21 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E56_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E56_palier2p14.md` |
+| 57 | 1 1 2 2 1 2 2 | 1 | 2^14 | 2 | 1 | 2 | 9 | 16 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E57_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E57_palier2p14.md` |
+| 58 | 1 2 1 1 1 1 4 | 1 | 2^14 | 2 | 1 | 2 | 9 | 10 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E58_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E58_palier2p14.md` |
+| 59 | 1 2 1 1 2 2 2 | 1 | 2^14 | 2 | 1 | 2 | 9 | 10 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E59_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E59_palier2p14.md` |
+| 60 | 1 2 1 2 1 2 2 | 1 | 2^14 | 2 | 1 | 2 | 9 | 11 | 2 | 2 | 4 | `docs/artefacts/collatz/local_E60_palier2p14` | `docs/collatz_run_report_2026-03-09_local_H6_E60_palier2p14.md` |
 
diff --git a/docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.json b/docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.json
new file mode 100644
index 0000000..2919a7b
--- /dev/null
+++ b/docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.json
@@ -0,0 +1,26798 @@
+{
+  "inputs": {
+    "verification_c3_local_descent_json": "docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json"
+  },
+  "domain": {
+    "palier": 14,
+    "max_stable_modulus_power": 102
+  },
+  "counts": {
+    "total": 768,
+    "D_exact": 60,
+    "F": 648,
+    "D_brother_local": 60
+  },
+  "clauses": [
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
+      "source_n": 191,
+      "stable_modulus_power": null,
+      "stable_residue_mod_2p": null,
+      "k_or_t": 8,
+      "A": 14,
+      "C": 8417,
+      "word": [
+        1,
+        1,
+        1,
+        1,
+        1,
+        2,
+        4,
+        3
+      ],
+      "N0": null,
+      "a": null,
+      "y": null,
+      "preimage_m": null,
+      "DeltaF": null,
+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 8383
+    },
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
+      "source_n": 303,
+      "stable_modulus_power": null,
+      "stable_residue_mod_2p": null,
+      "k_or_t": 8,
+      "A": 15,
+      "C": 10865,
+      "word": [
+        1,
+        1,
+        1,
+        2,
+        2,
+        2,
+        2,
+        4
+      ],
+      "N0": null,
+      "a": null,
+      "y": null,
+      "preimage_m": null,
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+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 8495
+    },
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
+      "source_n": 623,
+      "stable_modulus_power": null,
+      "stable_residue_mod_2p": null,
+      "k_or_t": 8,
+      "A": 15,
+      "C": 8497,
+      "word": [
+        1,
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+        1,
+        2,
+        2,
+        5
+      ],
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+      "preimage_m": null,
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+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 8815
+    },
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
+      "source_n": 1135,
+      "stable_modulus_power": null,
+      "stable_residue_mod_2p": null,
+      "k_or_t": 8,
+      "A": 14,
+      "C": 7985,
+      "word": [
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+        2,
+        1,
+        5
+      ],
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+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 9327
+    },
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
+      "source_n": 1215,
+      "stable_modulus_power": null,
+      "stable_residue_mod_2p": null,
+      "k_or_t": 8,
+      "A": 14,
+      "C": 7393,
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+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 9407
+    },
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
+      "source_n": 1247,
+      "stable_modulus_power": null,
+      "stable_residue_mod_2p": null,
+      "k_or_t": 8,
+      "A": 16,
+      "C": 10433,
+      "word": [
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+      "Nf": null,
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+      "mate_exact": 9439
+    },
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+      "source_n": 1327,
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+      "mate_exact": 9519
+    },
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+      "source_n": 1567,
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+      "mate_exact": 9759
+    },
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+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 9919
+    },
+    {
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+      "source_n": 2079,
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+      "C": 7553,
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+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 10271
+    },
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
+      "source_n": 2271,
+      "stable_modulus_power": null,
+      "stable_residue_mod_2p": null,
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+      "A": 15,
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+      "mate_exact": 10463
+    },
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+      "mate_exact": 10523
+    },
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+      "mate_exact": 10855
+    },
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+      "mate_exact": 11259
+    },
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+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 11327
+    },
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
+      "source_n": 3455,
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+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 11647
+    },
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
+      "source_n": 3687,
+      "stable_modulus_power": null,
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+      "mate_exact": 11879
+    },
+    {
+      "kind": "D_brother_local",
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+      "stable_modulus_power": null,
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+      "Nf": null,
+      "source_csv": null,
+      "mate_exact": 12159
+    },
+    {
+      "kind": "D_brother_local",
+      "domain_palier": 14,
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+        1,
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+        2,
+        2,
+        1,
+        1,
+        1,
+        2,
+        3,
+        1,
+        3
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+      "N0": null,
+      "a": 1,
+      "y": 18137,
+      "preimage_m": 12091,
+      "DeltaF": 3016974,
+      "Nf": 5,
+      "source_csv": "docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_F9to14_E30_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 15919,
+      "stable_modulus_power": 16,
+      "stable_residue_mod_2p": 15919,
+      "k_or_t": 9,
+      "A": 15,
+      "C": 26707,
+      "word": [
+        1,
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+        1,
+        2,
+        2,
+        1,
+        1,
+        1,
+        5
+      ],
+      "N0": null,
+      "a": 1,
+      "y": 9563,
+      "preimage_m": 6375,
+      "DeltaF": 58938,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_F9to49_E16_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 15975,
+      "stable_modulus_power": 18,
+      "stable_residue_mod_2p": 15975,
+      "k_or_t": 11,
+      "A": 17,
+      "C": 314371,
+      "word": [
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+      "N0": null,
+      "a": 1,
+      "y": 21593,
+      "preimage_m": 14395,
+      "DeltaF": 38922,
+      "Nf": 13,
+      "source_csv": "docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_F9to23_E37_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 15999,
+      "stable_modulus_power": 28,
+      "stable_residue_mod_2p": 15999,
+      "k_or_t": 17,
+      "A": 27,
+      "C": 168454723,
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+      ],
+      "N0": null,
+      "a": 1,
+      "y": 15395,
+      "preimage_m": 10263,
+      "DeltaF": 144372858,
+      "Nf": 2,
+      "source_csv": "docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_F9to42_E2_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16027,
+      "stable_modulus_power": 18,
+      "stable_residue_mod_2p": 16027,
+      "k_or_t": 9,
+      "A": 17,
+      "C": 30863,
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+      "N0": null,
+      "a": 2,
+      "y": 2407,
+      "preimage_m": 3209,
+      "DeltaF": 314484,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_F9to30_E22_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16031,
+      "stable_modulus_power": 20,
+      "stable_residue_mod_2p": 16031,
+      "k_or_t": 11,
+      "A": 19,
+      "C": 224539,
+      "word": [
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+      "N0": null,
+      "a": 1,
+      "y": 5417,
+      "preimage_m": 3611,
+      "DeltaF": 1218570,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E4_palier2p14/candidats/candidats_F9to40_E4_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16063,
+      "stable_modulus_power": 30,
+      "stable_residue_mod_2p": 16063,
+      "k_or_t": 18,
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+        3,
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+        1,
+        1,
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+      ],
+      "N0": null,
+      "a": 2,
+      "y": 11593,
+      "preimage_m": 15457,
+      "DeltaF": 60930780,
+      "Nf": 45,
+      "source_csv": "docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_F9to52_E9_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16111,
+      "stable_modulus_power": 25,
+      "stable_residue_mod_2p": 16111,
+      "k_or_t": 15,
+      "A": 24,
+      "C": 31573019,
+      "word": [
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+        2,
+        2,
+        1,
+        3
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+      "N0": null,
+      "a": 1,
+      "y": 13781,
+      "preimage_m": 9187,
+      "DeltaF": 21633834,
+      "Nf": 3,
+      "source_csv": "docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_F9to43_E5_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16127,
+      "stable_modulus_power": 32,
+      "stable_residue_mod_2p": 16127,
+      "k_or_t": 19,
+      "A": 31,
+      "C": 1594085083,
+      "word": [
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+        2,
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+        1,
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+        5
+      ],
+      "N0": null,
+      "a": 1,
+      "y": 8729,
+      "preimage_m": 5819,
+      "DeltaF": 4117928010,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_F9to43_E1_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16155,
+      "stable_modulus_power": 42,
+      "stable_residue_mod_2p": 16155,
+      "k_or_t": 26,
+      "A": 41,
+      "C": 7314887289709,
+      "word": [
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+        1,
+        1,
+        3
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+      "N0": null,
+      "a": 1,
+      "y": 18677,
+      "preimage_m": 12451,
+      "DeltaF": 1513338109998,
+      "Nf": 9,
+      "source_csv": "docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_F9to45_E7_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16219,
+      "stable_modulus_power": 15,
+      "stable_residue_mod_2p": 16219,
+      "k_or_t": 9,
+      "A": 14,
+      "C": 36431,
+      "word": [
+        1,
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+        1,
+        1,
+        2,
+        2,
+        1,
+        1,
+        3
+      ],
+      "N0": null,
+      "a": 1,
+      "y": 19487,
+      "preimage_m": 12991,
+      "DeltaF": 9786,
+      "Nf": 6,
+      "source_csv": "docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_F9to16_E46_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16231,
+      "stable_modulus_power": 25,
+      "stable_residue_mod_2p": 16231,
+      "k_or_t": 15,
+      "A": 24,
+      "C": 20980211,
+      "word": [
+        1,
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+        1,
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+        1,
+        1,
+        1,
+        1,
+        1,
+        2,
+        4,
+        1,
+        1,
+        5
+      ],
+      "N0": null,
+      "a": 1,
+      "y": 13883,
+      "preimage_m": 9255,
+      "DeltaF": 21633834,
+      "Nf": 2,
+      "source_csv": "docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_F9to64_E6_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16255,
+      "stable_modulus_power": 18,
+      "stable_residue_mod_2p": 16255,
+      "k_or_t": 11,
+      "A": 17,
+      "C": 258427,
+      "word": [
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+        1,
+        1,
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+        3,
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+      "N0": null,
+      "a": 1,
+      "y": 21971,
+      "preimage_m": 14647,
+      "DeltaF": 38922,
+      "Nf": 10,
+      "source_csv": "docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_F9to28_E8_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16287,
+      "stable_modulus_power": 19,
+      "stable_residue_mod_2p": 16287,
+      "k_or_t": 9,
+      "A": 18,
+      "C": 25091,
+      "word": [
+        1,
+        1,
+        1,
+        1,
+        2,
+        1,
+        3,
+        1,
+        7
+      ],
+      "N0": null,
+      "a": 1,
+      "y": 1223,
+      "preimage_m": 815,
+      "DeltaF": 747066,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_F9to16_E29_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16319,
+      "stable_modulus_power": 40,
+      "stable_residue_mod_2p": 16319,
+      "k_or_t": 23,
+      "A": 39,
+      "C": 244964539147,
+      "word": [
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+        2,
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+        1,
+        1,
+        1,
+        5,
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+      "N0": null,
+      "a": 1,
+      "y": 2795,
+      "preimage_m": 1863,
+      "DeltaF": 1460981084010,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_F9to35_E3_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16367,
+      "stable_modulus_power": 29,
+      "stable_residue_mod_2p": 16367,
+      "k_or_t": 18,
+      "A": 28,
+      "C": 1413375449,
+      "word": [
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+        1,
+        2,
+        2,
+        1,
+        2,
+        2,
+        1
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+      "N0": null,
+      "a": 1,
+      "y": 23627,
+      "preimage_m": 15751,
+      "DeltaF": 30465390,
+      "Nf": 84,
+      "source_csv": "docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_F9to18_E53_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16379,
+      "stable_modulus_power": 56,
+      "stable_residue_mod_2p": 16379,
+      "k_or_t": 34,
+      "A": 55,
+      "C": 50808735965035693,
+      "word": [
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+        1,
+        1,
+        1,
+        1,
+        3,
+        1,
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+      "N0": null,
+      "a": 1,
+      "y": 7583,
+      "preimage_m": 5055,
+      "DeltaF": 74732027657558766,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_F9to34_E48_palier2p14.csv",
+      "mate_exact": null
+    },
+    {
+      "kind": "F",
+      "domain_palier": 14,
+      "source_n": 16383,
+      "stable_modulus_power": 46,
+      "stable_residue_mod_2p": 16383,
+      "k_or_t": 27,
+      "A": 45,
+      "C": 9541690900411,
+      "word": [
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+        1,
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+        1,
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+        1,
+        1,
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+        1,
+        1,
+        1,
+        2,
+        1,
+        3,
+        1,
+        4,
+        1,
+        2,
+        1,
+        5,
+        5
+      ],
+      "N0": null,
+      "a": 1,
+      "y": 3551,
+      "preimage_m": 2367,
+      "DeltaF": 90301921296522,
+      "Nf": 1,
+      "source_csv": "docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_F9to43_E1_palier2p14.csv",
+      "mate_exact": null
+    }
+  ]
+}
diff --git a/docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.md b/docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.md
new file mode 100644
index 0000000..9fcb013
--- /dev/null
+++ b/docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.md
@@ -0,0 +1,798 @@
+**Auteur** : Équipe 4NK
+
+# Clauses universelles extraites — Option A (Lift(B12))
+
+## Entrée
+
+- C3 vérification JSON : `docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json`
+
+## Domaine
+
+- palier (domaine des témoins) : 2^14
+- max(2^m_stable) observé : 2^102
+
+## Compteurs
+
+- total : 768
+- D_exact : 60
+- F : 648
+- D_brother_local : 60
+
+## Table (extrait)
+
+| kind | source_n | m_stable | residue_mod_2^m | k/t | A | N0/Nf | mate_exact |
+| --- | --- | --- | --- | --- | --- | --- | --- |
+| D_brother_local | 191 |  |  | 8 | 14 |  | 8383 |
+| D_brother_local | 303 |  |  | 8 | 15 |  | 8495 |
+| D_brother_local | 623 |  |  | 8 | 15 |  | 8815 |
+| D_brother_local | 1135 |  |  | 8 | 14 |  | 9327 |
+| D_brother_local | 1215 |  |  | 8 | 14 |  | 9407 |
+| D_brother_local | 1247 |  |  | 8 | 16 |  | 9439 |
+| D_brother_local | 1327 |  |  | 8 | 16 |  | 9519 |
+| D_brother_local | 1567 |  |  | 8 | 16 |  | 9759 |
+| D_brother_local | 1727 |  |  | 8 | 16 |  | 9919 |
+| D_brother_local | 2079 |  |  | 8 | 14 |  | 10271 |
+| D_brother_local | 2271 |  |  | 8 | 15 |  | 10463 |
+| D_brother_local | 2331 |  |  | 8 | 15 |  | 10523 |
+| D_brother_local | 2663 |  |  | 8 | 14 |  | 10855 |
+| D_brother_local | 3067 |  |  | 8 | 14 |  | 11259 |
+| D_brother_local | 3135 |  |  | 8 | 17 |  | 11327 |
+| D_brother_local | 3455 |  |  | 8 | 17 |  | 11647 |
+| D_brother_local | 3687 |  |  | 8 | 14 |  | 11879 |
+| D_brother_local | 3967 |  |  | 8 | 14 |  | 12159 |
+| D_brother_local | 4079 |  |  | 8 | 15 |  | 12271 |
+| D_brother_local | 4091 |  |  | 8 | 14 |  | 12283 |
+| D_brother_local | 4159 |  |  | 8 | 15 |  | 12351 |
+| D_brother_local | 4199 |  |  | 8 | 15 |  | 12391 |
+| D_brother_local | 4955 |  |  | 8 | 14 |  | 13147 |
+| D_brother_local | 5023 |  |  | 8 | 16 |  | 13215 |
+| D_brother_local | 5103 |  |  | 8 | 16 |  | 13295 |
+| D_brother_local | 5275 |  |  | 8 | 14 |  | 13467 |
+| D_brother_local | 5615 |  |  | 8 | 14 |  | 13807 |
+| D_brother_local | 5787 |  |  | 8 | 15 |  | 13979 |
+| D_brother_local | 5979 |  |  | 8 | 14 |  | 14171 |
+| D_brother_local | 6047 |  |  | 8 | 15 |  | 14239 |
+| D_brother_local | 6559 |  |  | 8 | 14 |  | 14751 |
+| D_brother_local | 6983 |  |  | 8 | 14 |  | 15175 |
+| D_brother_local | 7495 |  |  | 8 | 15 |  | 15687 |
+| D_brother_local | 8447 |  |  | 8 | 14 |  | 255 |
+| D_brother_local | 8731 |  |  | 8 | 14 |  | 539 |
+| D_brother_local | 8871 |  |  | 8 | 14 |  | 679 |
+| D_brother_local | 9383 |  |  | 8 | 15 |  | 1191 |
+| D_brother_local | 9755 |  |  | 8 | 14 |  | 1563 |
+| D_brother_local | 10175 |  |  | 8 | 14 |  | 1983 |
+| D_brother_local | 10267 |  |  | 8 | 18 |  | 2075 |
+| D_brother_local | 10287 |  |  | 8 | 17 |  | 2095 |
+| D_brother_local | 10799 |  |  | 8 | 14 |  | 2607 |
+| D_brother_local | 11231 |  |  | 8 | 15 |  | 3039 |
+| D_brother_local | 11743 |  |  | 8 | 14 |  | 3551 |
+| D_brother_local | 12415 |  |  | 8 | 16 |  | 4223 |
+| D_brother_local | 12647 |  |  | 8 | 14 |  | 4455 |
+| D_brother_local | 13051 |  |  | 8 | 14 |  | 4859 |
+| D_brother_local | 13119 |  |  | 8 | 15 |  | 4927 |
+| D_brother_local | 13383 |  |  | 8 | 18 |  | 5191 |
+| D_brother_local | 13563 |  |  | 8 | 17 |  | 5371 |
+| D_brother_local | 13631 |  |  | 8 | 14 |  | 5439 |
+| D_brother_local | 14063 |  |  | 8 | 23 |  | 5871 |
+| D_brother_local | 14407 |  |  | 8 | 15 |  | 6215 |
+| D_brother_local | 14939 |  |  | 8 | 14 |  | 6747 |
+| D_brother_local | 15007 |  |  | 8 | 15 |  | 6815 |
+| D_brother_local | 15271 |  |  | 8 | 16 |  | 7079 |
+| D_brother_local | 15451 |  |  | 8 | 16 |  | 7259 |
+| D_brother_local | 15591 |  |  | 8 | 16 |  | 7399 |
+| D_brother_local | 16103 |  |  | 8 | 14 |  | 7911 |
+| D_brother_local | 16295 |  |  | 8 | 15 |  | 8103 |
+| D_exact | 255 | 14 | 255 | 8 | 13 | N0=4 |  |
+| D_exact | 539 | 14 | 539 | 8 | 13 | N0=7 |  |
+| D_exact | 679 | 14 | 679 | 8 | 13 | N0=6 |  |
+| D_exact | 1191 | 14 | 1191 | 8 | 13 | N0=6 |  |
+| D_exact | 1563 | 14 | 1563 | 8 | 13 | N0=6 |  |
+| D_exact | 1983 | 14 | 1983 | 8 | 13 | N0=5 |  |
+| D_exact | 2075 | 14 | 2075 | 8 | 13 | N0=6 |  |
+| D_exact | 2095 | 14 | 2095 | 8 | 13 | N0=6 |  |
+| D_exact | 2607 | 14 | 2607 | 8 | 13 | N0=6 |  |
+| D_exact | 3039 | 14 | 3039 | 8 | 13 | N0=6 |  |
+| D_exact | 3551 | 14 | 3551 | 8 | 13 | N0=5 |  |
+| D_exact | 4223 | 14 | 4223 | 8 | 13 | N0=4 |  |
+| D_exact | 4455 | 14 | 4455 | 8 | 13 | N0=5 |  |
+| D_exact | 4859 | 14 | 4859 | 8 | 13 | N0=8 |  |
+| D_exact | 4927 | 14 | 4927 | 8 | 13 | N0=5 |  |
+| D_exact | 5191 | 14 | 5191 | 8 | 13 | N0=8 |  |
+| D_exact | 5371 | 14 | 5371 | 8 | 13 | N0=7 |  |
+| D_exact | 5439 | 14 | 5439 | 8 | 13 | N0=5 |  |
+| D_exact | 5871 | 14 | 5871 | 8 | 13 | N0=5 |  |
+| D_exact | 6215 | 14 | 6215 | 8 | 13 | N0=7 |  |
+| D_exact | 6747 | 14 | 6747 | 8 | 13 | N0=7 |  |
+| D_exact | 6815 | 14 | 6815 | 8 | 13 | N0=5 |  |
+| D_exact | 7079 | 14 | 7079 | 8 | 13 | N0=8 |  |
+| D_exact | 7259 | 14 | 7259 | 8 | 13 | N0=7 |  |
+| D_exact | 7399 | 14 | 7399 | 8 | 13 | N0=6 |  |
+| D_exact | 7911 | 14 | 7911 | 8 | 13 | N0=6 |  |
+| D_exact | 8103 | 14 | 8103 | 8 | 13 | N0=7 |  |
+| D_exact | 8383 | 14 | 8383 | 8 | 13 | N0=6 |  |
+| D_exact | 8495 | 14 | 8495 | 8 | 13 | N0=7 |  |
+| D_exact | 8815 | 14 | 8815 | 8 | 13 | N0=6 |  |
+| D_exact | 9327 | 14 | 9327 | 8 | 13 | N0=5 |  |
+| D_exact | 9407 | 14 | 9407 | 8 | 13 | N0=5 |  |
+| D_exact | 9439 | 14 | 9439 | 8 | 13 | N0=7 |  |
+| D_exact | 9519 | 14 | 9519 | 8 | 13 | N0=7 |  |
+| D_exact | 9759 | 14 | 9759 | 8 | 13 | N0=5 |  |
+| D_exact | 9919 | 14 | 9919 | 8 | 13 | N0=5 |  |
+| D_exact | 10271 | 14 | 10271 | 8 | 13 | N0=5 |  |
+| D_exact | 10463 | 14 | 10463 | 8 | 13 | N0=6 |  |
+| D_exact | 10523 | 14 | 10523 | 8 | 13 | N0=6 |  |
+| D_exact | 10855 | 14 | 10855 | 8 | 13 | N0=6 |  |
+| D_exact | 11259 | 14 | 11259 | 8 | 13 | N0=9 |  |
+| D_exact | 11327 | 14 | 11327 | 8 | 13 | N0=6 |  |
+| D_exact | 11647 | 14 | 11647 | 8 | 13 | N0=5 |  |
+| D_exact | 11879 | 14 | 11879 | 8 | 13 | N0=6 |  |
+| D_exact | 12159 | 14 | 12159 | 8 | 13 | N0=5 |  |
+| D_exact | 12271 | 14 | 12271 | 8 | 13 | N0=6 |  |
+| D_exact | 12283 | 14 | 12283 | 8 | 13 | N0=8 |  |
+| D_exact | 12351 | 14 | 12351 | 8 | 13 | N0=6 |  |
+| D_exact | 12391 | 14 | 12391 | 8 | 13 | N0=6 |  |
+| D_exact | 13147 | 14 | 13147 | 8 | 13 | N0=8 |  |
+| D_exact | 13215 | 14 | 13215 | 8 | 13 | N0=6 |  |
+| D_exact | 13295 | 14 | 13295 | 8 | 13 | N0=5 |  |
+| D_exact | 13467 | 14 | 13467 | 8 | 13 | N0=7 |  |
+| D_exact | 13807 | 14 | 13807 | 8 | 13 | N0=5 |  |
+| D_exact | 13979 | 14 | 13979 | 8 | 13 | N0=6 |  |
+| D_exact | 14171 | 14 | 14171 | 8 | 13 | N0=8 |  |
+| D_exact | 14239 | 14 | 14239 | 8 | 13 | N0=5 |  |
+| D_exact | 14751 | 14 | 14751 | 8 | 13 | N0=5 |  |
+| D_exact | 15175 | 14 | 15175 | 8 | 13 | N0=7 |  |
+| D_exact | 15687 | 14 | 15687 | 8 | 13 | N0=7 |  |
+| F | 27 | 60 | 27 | 37 | 59 | Nf=2 |  |
+| F | 31 | 57 | 31 | 35 | 56 | Nf=2 |  |
+| F | 47 | 56 | 47 | 34 | 55 | Nf=1 |  |
+| F | 63 | 58 | 63 | 35 | 57 | Nf=1 |  |
+| F | 71 | 55 | 71 | 33 | 54 | Nf=1 |  |
+| F | 91 | 46 | 91 | 28 | 45 | Nf=16 |  |
+| F | 103 | 43 | 103 | 26 | 42 | Nf=8 |  |
+| F | 111 | 32 | 111 | 19 | 31 | Nf=4 |  |
+| F | 127 | 16 | 127 | 9 | 15 | Nf=1 |  |
+| F | 159 | 23 | 159 | 13 | 22 | Nf=1 |  |
+| F | 167 | 31 | 167 | 18 | 30 | Nf=2 |  |
+| F | 223 | 33 | 223 | 19 | 32 | Nf=1 |  |
+| F | 239 | 22 | 239 | 12 | 21 | Nf=1 |  |
+| F | 251 | 30 | 251 | 17 | 29 | Nf=1 |  |
+| F | 283 | 27 | 283 | 15 | 26 | Nf=1 |  |
+| F | 319 | 24 | 319 | 13 | 23 | Nf=1 |  |
+| F | 327 | 23 | 327 | 13 | 22 | Nf=1 |  |
+| F | 359 | 21 | 359 | 11 | 20 | Nf=1 |  |
+| F | 415 | 17 | 415 | 9 | 16 | Nf=1 |  |
+| F | 447 | 42 | 447 | 25 | 41 | Nf=1 |  |
+| F | 479 | 19 | 479 | 11 | 18 | Nf=15 |  |
+| F | 495 | 29 | 495 | 17 | 28 | Nf=1 |  |
+| F | 511 | 20 | 511 | 11 | 19 | Nf=1 |  |
+| F | 559 | 19 | 559 | 11 | 18 | Nf=14 |  |
+| F | 603 | 17 | 603 | 10 | 16 | Nf=2 |  |
+| F | 639 | 24 | 639 | 14 | 23 | Nf=1 |  |
+| F | 667 | 27 | 667 | 15 | 26 | Nf=1 |  |
+| F | 671 | 23 | 671 | 14 | 22 | Nf=4 |  |
+| F | 703 | 84 | 703 | 51 | 83 | Nf=1 |  |
+| F | 743 | 28 | 743 | 16 | 27 | Nf=1 |  |
+| F | 751 | 24 | 751 | 13 | 23 | Nf=1 |  |
+| F | 763 | 23 | 763 | 12 | 22 | Nf=1 |  |
+| F | 767 | 19 | 767 | 10 | 18 | Nf=1 |  |
+| F | 795 | 28 | 795 | 17 | 27 | Nf=3 |  |
+| F | 831 | 18 | 831 | 9 | 17 | Nf=1 |  |
+| F | 839 | 16 | 839 | 9 | 15 | Nf=6 |  |
+| F | 859 | 20 | 859 | 10 | 19 | Nf=1 |  |
+| F | 871 | 36 | 871 | 22 | 35 | Nf=2 |  |
+| F | 895 | 25 | 895 | 15 | 24 | Nf=2 |  |
+| F | 927 | 38 | 927 | 23 | 37 | Nf=28 |  |
+| F | 959 | 23 | 959 | 13 | 22 | Nf=1 |  |
+| F | 991 | 27 | 991 | 16 | 26 | Nf=10 |  |
+| F | 1007 | 22 | 1007 | 13 | 21 | Nf=2 |  |
+| F | 1023 | 21 | 1023 | 11 | 20 | Nf=1 |  |
+| F | 1051 | 20 | 1051 | 12 | 19 | Nf=3 |  |
+| F | 1055 | 83 | 1055 | 50 | 82 | Nf=1 |  |
+| F | 1095 | 16 | 1095 | 9 | 15 | Nf=1 |  |
+| F | 1115 | 24 | 1115 | 14 | 23 | Nf=6 |  |
+| F | 1127 | 23 | 1127 | 12 | 22 | Nf=1 |  |
+| F | 1151 | 18 | 1151 | 9 | 17 | Nf=1 |  |
+| F | 1179 | 20 | 1179 | 10 | 19 | Nf=1 |  |
+| F | 1183 | 17 | 1183 | 10 | 16 | Nf=1 |  |
+| F | 1255 | 21 | 1255 | 12 | 20 | Nf=3 |  |
+| F | 1263 | 27 | 1263 | 16 | 26 | Nf=6 |  |
+| F | 1275 | 16 | 1275 | 9 | 15 | Nf=1 |  |
+| F | 1279 | 25 | 1279 | 14 | 24 | Nf=1 |  |
+| F | 1307 | 35 | 1307 | 21 | 34 | Nf=1 |  |
+| F | 1343 | 24 | 1343 | 14 | 23 | Nf=1 |  |
+| F | 1351 | 15 | 1351 | 9 | 14 | Nf=5 |  |
+| F | 1383 | 43 | 1383 | 24 | 42 | Nf=1 |  |
+| F | 1407 | 85 | 1407 | 51 | 84 | Nf=1 |  |
+| F | 1439 | 22 | 1439 | 12 | 21 | Nf=1 |  |
+| F | 1471 | 32 | 1471 | 19 | 31 | Nf=1 |  |
+| F | 1503 | 25 | 1503 | 13 | 24 | Nf=1 |  |
+| F | 1519 | 18 | 1519 | 10 | 17 | Nf=2 |  |
+| F | 1535 | 20 | 1535 | 10 | 19 | Nf=1 |  |
+| F | 1583 | 82 | 1583 | 49 | 81 | Nf=1 |  |
+| F | 1639 | 37 | 1639 | 23 | 36 | Nf=25 |  |
+| F | 1663 | 18 | 1663 | 11 | 17 | Nf=7 |  |
+| F | 1691 | 22 | 1691 | 11 | 21 | Nf=1 |  |
+| F | 1695 | 34 | 1695 | 20 | 33 | Nf=1 |  |
+| F | 1767 | 20 | 1767 | 12 | 19 | Nf=3 |  |
+| F | 1775 | 16 | 1775 | 9 | 15 | Nf=1 |  |
+| F | 1791 | 19 | 1791 | 11 | 18 | Nf=1 |  |
+| F | 1819 | 62 | 1819 | 38 | 61 | Nf=1 |  |
+| F | 1883 | 20 | 1883 | 11 | 19 | Nf=2 |  |
+| F | 1895 | 26 | 1895 | 15 | 25 | Nf=2 |  |
+| F | 1919 | 24 | 1919 | 13 | 23 | Nf=1 |  |
+| F | 1951 | 18 | 1951 | 11 | 17 | Nf=12 |  |
+| F | 1959 | 28 | 1959 | 16 | 27 | Nf=1 |  |
+| F | 2043 | 20 | 2043 | 11 | 19 | Nf=2 |  |
+| F | 2047 | 59 | 2047 | 36 | 58 | Nf=1 |  |
+| F | 2111 | 84 | 2111 | 50 | 83 | Nf=1 |  |
+| F | 2119 | 17 | 2119 | 9 | 16 | Nf=1 |  |
+| F | 2139 | 21 | 2139 | 12 | 20 | Nf=1 |  |
+| F | 2151 | 42 | 2151 | 26 | 41 | Nf=7 |  |
+| F | 2159 | 21 | 2159 | 11 | 20 | Nf=1 |  |
+| F | 2175 | 21 | 2175 | 12 | 20 | Nf=1 |  |
+| F | 2207 | 31 | 2207 | 18 | 30 | Nf=1 |  |
+| F | 2215 | 45 | 2215 | 27 | 44 | Nf=2 |  |
+| F | 2287 | 54 | 2287 | 31 | 53 | Nf=1 |  |
+| F | 2299 | 17 | 2299 | 9 | 16 | Nf=1 |  |
+| F | 2303 | 19 | 2303 | 9 | 18 | Nf=1 |  |
+| F | 2367 | 18 | 2367 | 10 | 17 | Nf=1 |  |
+| F | 2375 | 29 | 2375 | 18 | 28 | Nf=49 |  |
+| F | 2407 | 18 | 2407 | 10 | 17 | Nf=1 |  |
+| F | 2463 | 23 | 2463 | 13 | 22 | Nf=2 |  |
+| F | 2495 | 17 | 2495 | 10 | 16 | Nf=1 |  |
+| F | 2527 | 28 | 2527 | 16 | 27 | Nf=1 |  |
+| F | 2543 | 30 | 2543 | 18 | 29 | Nf=59 |  |
+| F | 2559 | 41 | 2559 | 25 | 40 | Nf=1 |  |
+| F | 2651 | 19 | 2651 | 11 | 18 | Nf=2 |  |
+| F | 2671 | 20 | 2671 | 10 | 19 | Nf=1 |  |
+| F | 2687 | 18 | 2687 | 10 | 17 | Nf=1 |  |
+| F | 2715 | 34 | 2715 | 20 | 33 | Nf=1 |  |
+| F | 2719 | 17 | 2719 | 9 | 16 | Nf=1 |  |
+| F | 2727 | 16 | 2727 | 9 | 15 | Nf=5 |  |
+| F | 2751 | 44 | 2751 | 27 | 43 | Nf=3 |  |
+| F | 2791 | 19 | 2791 | 10 | 18 | Nf=1 |  |
+| F | 2799 | 17 | 2799 | 9 | 16 | Nf=1 |  |
+| F | 2811 | 19 | 2811 | 11 | 18 | Nf=2 |  |
+| F | 2815 | 15 | 2815 | 9 | 14 | Nf=3 |  |
+| F | 2843 | 25 | 2843 | 14 | 24 | Nf=1 |  |
+| F | 2879 | 18 | 2879 | 11 | 17 | Nf=10 |  |
+| F | 2887 | 17 | 2887 | 10 | 16 | Nf=3 |  |
+| F | 2919 | 18 | 2919 | 11 | 17 | Nf=10 |  |
+| F | 2943 | 30 | 2943 | 18 | 29 | Nf=36 |  |
+| F | 2983 | 16 | 2983 | 9 | 15 | Nf=1 |  |
+| F | 3007 | 23 | 3007 | 14 | 22 | Nf=5 |  |
+| F | 3055 | 31 | 3055 | 18 | 30 | Nf=1 |  |
+| F | 3071 | 50 | 3071 | 31 | 49 | Nf=3 |  |
+| F | 3099 | 20 | 3099 | 12 | 19 | Nf=3 |  |
+| F | 3103 | 20 | 3103 | 11 | 19 | Nf=1 |  |
+| F | 3163 | 16 | 3163 | 9 | 15 | Nf=1 |  |
+| F | 3175 | 43 | 3175 | 26 | 42 | Nf=11 |  |
+| F | 3183 | 22 | 3183 | 11 | 21 | Nf=1 |  |
+| F | 3199 | 18 | 3199 | 11 | 17 | Nf=7 |  |
+| F | 3227 | 41 | 3227 | 25 | 40 | Nf=3 |  |
+| F | 3231 | 24 | 3231 | 14 | 23 | Nf=3 |  |
+| F | 3239 | 15 | 3239 | 9 | 14 | Nf=5 |  |
+| F | 3263 | 20 | 3263 | 11 | 19 | Nf=1 |  |
+| F | 3303 | 16 | 3303 | 9 | 15 | Nf=1 |  |
+| F | 3311 | 27 | 3311 | 16 | 26 | Nf=9 |  |
+| F | 3323 | 44 | 3323 | 26 | 43 | Nf=2 |  |
+| F | 3327 | 19 | 3327 | 11 | 18 | Nf=1 |  |
+| F | 3355 | 25 | 3355 | 13 | 24 | Nf=1 |  |
+| F | 3375 | 20 | 3375 | 11 | 19 | Nf=1 |  |
+| F | 3391 | 30 | 3391 | 18 | 29 | Nf=61 |  |
+| F | 3399 | 49 | 3399 | 30 | 48 | Nf=3 |  |
+| F | 3431 | 37 | 3431 | 23 | 36 | Nf=17 |  |
+| F | 3487 | 17 | 3487 | 10 | 16 | Nf=2 |  |
+| F | 3519 | 25 | 3519 | 15 | 24 | Nf=2 |  |
+| F | 3567 | 31 | 3567 | 19 | 30 | Nf=4 |  |
+| F | 3583 | 20 | 3583 | 11 | 19 | Nf=1 |  |
+| F | 3611 | 17 | 3611 | 9 | 16 | Nf=1 |  |
+| F | 3615 | 21 | 3615 | 11 | 20 | Nf=1 |  |
+| F | 3631 | 29 | 3631 | 18 | 28 | Nf=37 |  |
+| F | 3711 | 38 | 3711 | 23 | 37 | Nf=1 |  |
+| F | 3739 | 41 | 3739 | 24 | 40 | Nf=1 |  |
+| F | 3743 | 16 | 3743 | 9 | 15 | Nf=1 |  |
+| F | 3775 | 22 | 3775 | 11 | 21 | Nf=1 |  |
+| F | 3815 | 18 | 3815 | 11 | 17 | Nf=17 |  |
+| F | 3823 | 26 | 3823 | 16 | 25 | Nf=10 |  |
+| F | 3839 | 37 | 3839 | 23 | 36 | Nf=10 |  |
+| F | 3867 | 25 | 3867 | 14 | 24 | Nf=1 |  |
+| F | 3931 | 27 | 3931 | 15 | 26 | Nf=1 |  |
+| F | 3943 | 46 | 3943 | 25 | 45 | Nf=1 |  |
+| F | 3999 | 20 | 3999 | 12 | 19 | Nf=2 |  |
+| F | 4007 | 19 | 4007 | 9 | 18 | Nf=1 |  |
+| F | 4031 | 17 | 4031 | 9 | 16 | Nf=1 |  |
+| F | 4095 | 52 | 4095 | 32 | 51 | Nf=2 |  |
+| F | 4123 | 15 | 4123 | 9 | 14 | Nf=5 |  |
+| F | 4127 | 43 | 4127 | 26 | 42 | Nf=2 |  |
+| F | 4143 | 15 | 4143 | 9 | 14 | Nf=5 |  |
+| F | 4167 | 21 | 4167 | 12 | 20 | Nf=4 |  |
+| F | 4187 | 18 | 4187 | 9 | 17 | Nf=1 |  |
+| F | 4207 | 38 | 4207 | 22 | 37 | Nf=1 |  |
+| F | 4255 | 71 | 4255 | 44 | 70 | Nf=2 |  |
+| F | 4263 | 58 | 4263 | 35 | 57 | Nf=1 |  |
+| F | 4287 | 20 | 4287 | 9 | 19 | Nf=1 |  |
+| F | 4319 | 17 | 4319 | 10 | 16 | Nf=2 |  |
+| F | 4335 | 18 | 4335 | 11 | 17 | Nf=12 |  |
+| F | 4347 | 48 | 4347 | 30 | 47 | Nf=138 |  |
+| F | 4351 | 22 | 4351 | 12 | 21 | Nf=1 |  |
+| F | 4379 | 17 | 4379 | 10 | 16 | Nf=2 |  |
+| F | 4399 | 34 | 4399 | 20 | 33 | Nf=1 |  |
+| F | 4415 | 29 | 4415 | 17 | 28 | Nf=3 |  |
+| F | 4423 | 24 | 4423 | 13 | 23 | Nf=1 |  |
+| F | 4511 | 21 | 4511 | 12 | 20 | Nf=2 |  |
+| F | 4543 | 15 | 4543 | 9 | 14 | Nf=3 |  |
+| F | 4575 | 39 | 4575 | 24 | 38 | Nf=4 |  |
+| F | 4591 | 66 | 4591 | 41 | 65 | Nf=4 |  |
+| F | 4607 | 49 | 4607 | 30 | 48 | Nf=1 |  |
+| F | 4635 | 18 | 4635 | 10 | 17 | Nf=3 |  |
+| F | 4655 | 16 | 4655 | 9 | 15 | Nf=4 |  |
+| F | 4699 | 23 | 4699 | 13 | 22 | Nf=1 |  |
+| F | 4719 | 26 | 4719 | 14 | 25 | Nf=1 |  |
+| F | 4735 | 18 | 4735 | 11 | 17 | Nf=7 |  |
+| F | 4763 | 26 | 4763 | 16 | 25 | Nf=10 |  |
+| F | 4767 | 24 | 4767 | 14 | 23 | Nf=5 |  |
+| F | 4775 | 21 | 4775 | 10 | 20 | Nf=1 |  |
+| F | 4799 | 17 | 4799 | 10 | 16 | Nf=1 |  |
+| F | 4839 | 20 | 4839 | 12 | 19 | Nf=4 |  |
+| F | 4847 | 23 | 4847 | 13 | 22 | Nf=1 |  |
+| F | 4863 | 36 | 4863 | 21 | 35 | Nf=1 |  |
+| F | 4891 | 45 | 4891 | 28 | 44 | Nf=22 |  |
+| F | 4935 | 24 | 4935 | 14 | 23 | Nf=6 |  |
+| F | 4967 | 26 | 4967 | 15 | 25 | Nf=3 |  |
+| F | 4991 | 18 | 4991 | 10 | 17 | Nf=1 |  |
+| F | 5055 | 24 | 5055 | 13 | 23 | Nf=1 |  |
+| F | 5087 | 15 | 5087 | 9 | 14 | Nf=5 |  |
+| F | 5119 | 39 | 5119 | 24 | 38 | Nf=2 |  |
+| F | 5147 | 36 | 5147 | 22 | 35 | Nf=3 |  |
+| F | 5151 | 34 | 5151 | 21 | 33 | Nf=7 |  |
+| F | 5211 | 22 | 5211 | 12 | 21 | Nf=1 |  |
+| F | 5223 | 18 | 5223 | 11 | 17 | Nf=11 |  |
+| F | 5231 | 16 | 5231 | 9 | 15 | Nf=1 |  |
+| F | 5247 | 23 | 5247 | 12 | 22 | Nf=1 |  |
+| F | 5279 | 24 | 5279 | 14 | 23 | Nf=1 |  |
+| F | 5287 | 20 | 5287 | 11 | 19 | Nf=1 |  |
+| F | 5311 | 16 | 5311 | 9 | 15 | Nf=1 |  |
+| F | 5343 | 21 | 5343 | 10 | 20 | Nf=1 |  |
+| F | 5351 | 30 | 5351 | 18 | 29 | Nf=2 |  |
+| F | 5359 | 23 | 5359 | 14 | 22 | Nf=4 |  |
+| F | 5375 | 19 | 5375 | 10 | 18 | Nf=1 |  |
+| F | 5403 | 22 | 5403 | 13 | 21 | Nf=2 |  |
+| F | 5423 | 20 | 5423 | 10 | 19 | Nf=1 |  |
+| F | 5447 | 28 | 5447 | 17 | 27 | Nf=3 |  |
+| F | 5479 | 26 | 5479 | 16 | 25 | Nf=8 |  |
+| F | 5503 | 42 | 5503 | 26 | 41 | Nf=11 |  |
+| F | 5535 | 28 | 5535 | 17 | 27 | Nf=2 |  |
+| F | 5567 | 37 | 5567 | 22 | 36 | Nf=1 |  |
+| F | 5599 | 18 | 5599 | 9 | 17 | Nf=1 |  |
+| F | 5631 | 16 | 5631 | 9 | 15 | Nf=1 |  |
+| F | 5659 | 26 | 5659 | 13 | 25 | Nf=1 |  |
+| F | 5663 | 21 | 5663 | 10 | 20 | Nf=1 |  |
+| F | 5679 | 21 | 5679 | 12 | 20 | Nf=1 |  |
+| F | 5735 | 25 | 5735 | 15 | 24 | Nf=3 |  |
+| F | 5759 | 36 | 5759 | 22 | 35 | Nf=2 |  |
+| F | 5791 | 33 | 5791 | 20 | 32 | Nf=2 |  |
+| F | 5823 | 24 | 5823 | 10 | 23 | Nf=1 |  |
+| F | 5863 | 19 | 5863 | 10 | 18 | Nf=1 |  |
+| F | 5887 | 27 | 5887 | 15 | 26 | Nf=1 |  |
+| F | 5915 | 45 | 5915 | 24 | 44 | Nf=1 |  |
+| F | 5991 | 29 | 5991 | 16 | 28 | Nf=1 |  |
+| F | 6015 | 23 | 6015 | 13 | 22 | Nf=1 |  |
+| F | 6055 | 19 | 6055 | 11 | 18 | Nf=14 |  |
+| F | 6079 | 19 | 6079 | 11 | 18 | Nf=1 |  |
+| F | 6139 | 20 | 6139 | 11 | 19 | Nf=1 |  |
+| F | 6143 | 51 | 6143 | 31 | 50 | Nf=1 |  |
+| F | 6171 | 56 | 6171 | 35 | 55 | Nf=28 |  |
+| F | 6175 | 17 | 6175 | 9 | 16 | Nf=1 |  |
+| F | 6191 | 29 | 6191 | 18 | 28 | Nf=59 |  |
+| F | 6207 | 18 | 6207 | 10 | 17 | Nf=2 |  |
+| F | 6235 | 18 | 6235 | 11 | 17 | Nf=12 |  |
+| F | 6247 | 18 | 6247 | 10 | 17 | Nf=2 |  |
+| F | 6255 | 17 | 6255 | 9 | 16 | Nf=1 |  |
+| F | 6271 | 15 | 6271 | 9 | 14 | Nf=3 |  |
+| F | 6303 | 29 | 6303 | 15 | 28 | Nf=1 |  |
+| F | 6311 | 37 | 6311 | 21 | 36 | Nf=1 |  |
+| F | 6367 | 23 | 6367 | 11 | 22 | Nf=1 |  |
+| F | 6383 | 70 | 6383 | 43 | 69 | Nf=2 |  |
+| F | 6395 | 23 | 6395 | 14 | 22 | Nf=6 |  |
+| F | 6399 | 19 | 6399 | 11 | 18 | Nf=1 |  |
+| F | 6427 | 25 | 6427 | 13 | 24 | Nf=1 |  |
+| F | 6463 | 25 | 6463 | 14 | 24 | Nf=1 |  |
+| F | 6471 | 51 | 6471 | 31 | 50 | Nf=1 |  |
+| F | 6503 | 16 | 6503 | 9 | 15 | Nf=4 |  |
+| F | 6591 | 45 | 6591 | 28 | 44 | Nf=8 |  |
+| F | 6623 | 28 | 6623 | 16 | 27 | Nf=2 |  |
+| F | 6639 | 18 | 6639 | 11 | 17 | Nf=12 |  |
+| F | 6655 | 42 | 6655 | 22 | 41 | Nf=1 |  |
+| F | 6703 | 17 | 6703 | 10 | 16 | Nf=2 |  |
+| F | 6759 | 16 | 6759 | 9 | 15 | Nf=1 |  |
+| F | 6767 | 20 | 6767 | 11 | 19 | Nf=1 |  |
+| F | 6783 | 16 | 6783 | 9 | 15 | Nf=3 |  |
+| F | 6811 | 29 | 6811 | 18 | 28 | Nf=45 |  |
+| F | 6823 | 38 | 6823 | 23 | 37 | Nf=18 |  |
+| F | 6847 | 21 | 6847 | 11 | 20 | Nf=1 |  |
+| F | 6887 | 58 | 6887 | 36 | 57 | Nf=4 |  |
+| F | 6895 | 22 | 6895 | 13 | 21 | Nf=1 |  |
+| F | 6907 | 17 | 6907 | 9 | 16 | Nf=1 |  |
+| F | 6911 | 48 | 6911 | 29 | 47 | Nf=1 |  |
+| F | 6939 | 29 | 6939 | 15 | 28 | Nf=1 |  |
+| F | 6975 | 15 | 6975 | 9 | 14 | Nf=4 |  |
+| F | 7015 | 15 | 7015 | 9 | 14 | Nf=4 |  |
+| F | 7039 | 18 | 7039 | 11 | 17 | Nf=8 |  |
+| F | 7103 | 17 | 7103 | 10 | 16 | Nf=1 |  |
+| F | 7135 | 29 | 7135 | 18 | 28 | Nf=51 |  |
+| F | 7151 | 23 | 7151 | 13 | 22 | Nf=2 |  |
+| F | 7163 | 20 | 7163 | 9 | 19 | Nf=1 |  |
+| F | 7167 | 34 | 7167 | 21 | 33 | Nf=4 |  |
+| F | 7195 | 20 | 7195 | 12 | 19 | Nf=3 |  |
+| F | 7199 | 16 | 7199 | 9 | 15 | Nf=1 |  |
+| F | 7231 | 22 | 7231 | 11 | 21 | Nf=1 |  |
+| F | 7271 | 22 | 7271 | 12 | 21 | Nf=1 |  |
+| F | 7279 | 58 | 7279 | 36 | 57 | Nf=4 |  |
+| F | 7295 | 32 | 7295 | 19 | 31 | Nf=3 |  |
+| F | 7323 | 31 | 7323 | 17 | 30 | Nf=1 |  |
+| F | 7327 | 23 | 7327 | 14 | 22 | Nf=4 |  |
+| F | 7335 | 25 | 7335 | 15 | 24 | Nf=2 |  |
+| F | 7359 | 45 | 7359 | 27 | 44 | Nf=1 |  |
+| F | 7407 | 31 | 7407 | 13 | 30 | Nf=1 |  |
+| F | 7419 | 15 | 7419 | 9 | 14 | Nf=6 |  |
+| F | 7423 | 39 | 7423 | 23 | 38 | Nf=1 |  |
+| F | 7451 | 18 | 7451 | 11 | 17 | Nf=16 |  |
+| F | 7471 | 20 | 7471 | 11 | 19 | Nf=1 |  |
+| F | 7487 | 17 | 7487 | 9 | 16 | Nf=1 |  |
+| F | 7527 | 75 | 7527 | 46 | 74 | Nf=1 |  |
+| F | 7551 | 23 | 7551 | 11 | 22 | Nf=1 |  |
+| F | 7583 | 23 | 7583 | 12 | 22 | Nf=1 |  |
+| F | 7615 | 23 | 7615 | 12 | 22 | Nf=1 |  |
+| F | 7647 | 23 | 7647 | 14 | 22 | Nf=7 |  |
+| F | 7663 | 26 | 7663 | 16 | 25 | Nf=8 |  |
+| F | 7679 | 38 | 7679 | 23 | 37 | Nf=1 |  |
+| F | 7707 | 21 | 7707 | 12 | 20 | Nf=3 |  |
+| F | 7711 | 21 | 7711 | 11 | 20 | Nf=1 |  |
+| F | 7727 | 33 | 7727 | 20 | 32 | Nf=3 |  |
+| F | 7783 | 18 | 7783 | 9 | 17 | Nf=1 |  |
+| F | 7807 | 26 | 7807 | 13 | 25 | Nf=1 |  |
+| F | 7835 | 17 | 7835 | 10 | 16 | Nf=2 |  |
+| F | 7839 | 26 | 7839 | 15 | 25 | Nf=1 |  |
+| F | 7871 | 22 | 7871 | 11 | 21 | Nf=1 |  |
+| F | 7919 | 15 | 7919 | 9 | 14 | Nf=4 |  |
+| F | 7935 | 43 | 7935 | 25 | 42 | Nf=1 |  |
+| F | 7963 | 76 | 7963 | 45 | 75 | Nf=1 |  |
+| F | 8027 | 26 | 8027 | 16 | 25 | Nf=13 |  |
+| F | 8039 | 21 | 8039 | 12 | 20 | Nf=2 |  |
+| F | 8063 | 18 | 8063 | 9 | 17 | Nf=1 |  |
+| F | 8095 | 17 | 8095 | 10 | 16 | Nf=2 |  |
+| F | 8127 | 47 | 8127 | 27 | 46 | Nf=1 |  |
+| F | 8175 | 26 | 8175 | 15 | 25 | Nf=1 |  |
+| F | 8187 | 16 | 8187 | 9 | 15 | Nf=1 |  |
+| F | 8191 | 45 | 8191 | 27 | 44 | Nf=1 |  |
+| F | 8219 | 25 | 8219 | 15 | 24 | Nf=2 |  |
+| F | 8223 | 29 | 8223 | 16 | 28 | Nf=1 |  |
+| F | 8239 | 28 | 8239 | 15 | 27 | Nf=1 |  |
+| F | 8255 | 30 | 8255 | 18 | 29 | Nf=61 |  |
+| F | 8263 | 15 | 8263 | 9 | 14 | Nf=6 |  |
+| F | 8283 | 21 | 8283 | 12 | 20 | Nf=1 |  |
+| F | 8295 | 40 | 8295 | 23 | 39 | Nf=1 |  |
+| F | 8303 | 27 | 8303 | 16 | 26 | Nf=1 |  |
+| F | 8319 | 21 | 8319 | 12 | 20 | Nf=1 |  |
+| F | 8351 | 36 | 8351 | 21 | 35 | Nf=1 |  |
+| F | 8359 | 51 | 8359 | 30 | 50 | Nf=1 |  |
+| F | 8415 | 39 | 8415 | 22 | 38 | Nf=1 |  |
+| F | 8431 | 16 | 8431 | 9 | 15 | Nf=3 |  |
+| F | 8443 | 27 | 8443 | 16 | 26 | Nf=1 |  |
+| F | 8475 | 28 | 8475 | 16 | 27 | Nf=2 |  |
+| F | 8511 | 29 | 8511 | 18 | 28 | Nf=53 |  |
+| F | 8519 | 20 | 8519 | 11 | 19 | Nf=1 |  |
+| F | 8551 | 18 | 8551 | 10 | 17 | Nf=2 |  |
+| F | 8607 | 21 | 8607 | 12 | 20 | Nf=3 |  |
+| F | 8639 | 35 | 8639 | 21 | 34 | Nf=1 |  |
+| F | 8671 | 18 | 8671 | 10 | 17 | Nf=2 |  |
+| F | 8687 | 20 | 8687 | 12 | 19 | Nf=3 |  |
+| F | 8703 | 28 | 8703 | 17 | 27 | Nf=2 |  |
+| F | 8751 | 23 | 8751 | 12 | 22 | Nf=1 |  |
+| F | 8795 | 18 | 8795 | 9 | 17 | Nf=1 |  |
+| F | 8831 | 26 | 8831 | 14 | 25 | Nf=1 |  |
+| F | 8859 | 29 | 8859 | 16 | 28 | Nf=1 |  |
+| F | 8863 | 15 | 8863 | 9 | 14 | Nf=3 |  |
+| F | 8895 | 32 | 8895 | 17 | 31 | Nf=1 |  |
+| F | 8935 | 30 | 8935 | 18 | 29 | Nf=1 |  |
+| F | 8943 | 32 | 8943 | 19 | 31 | Nf=1 |  |
+| F | 8955 | 19 | 8955 | 11 | 18 | Nf=2 |  |
+| F | 8959 | 73 | 8959 | 43 | 72 | Nf=1 |  |
+| F | 8987 | 28 | 8987 | 15 | 27 | Nf=1 |  |
+| F | 9023 | 18 | 9023 | 11 | 17 | Nf=12 |  |
+| F | 9031 | 23 | 9031 | 14 | 22 | Nf=6 |  |
+| F | 9051 | 17 | 9051 | 9 | 16 | Nf=1 |  |
+| F | 9063 | 22 | 9063 | 12 | 21 | Nf=1 |  |
+| F | 9087 | 16 | 9087 | 9 | 15 | Nf=1 |  |
+| F | 9119 | 18 | 9119 | 10 | 17 | Nf=1 |  |
+| F | 9151 | 23 | 9151 | 13 | 22 | Nf=1 |  |
+| F | 9183 | 56 | 9183 | 35 | 55 | Nf=23 |  |
+| F | 9199 | 18 | 9199 | 10 | 17 | Nf=1 |  |
+| F | 9215 | 50 | 9215 | 30 | 49 | Nf=1 |  |
+| F | 9243 | 24 | 9243 | 13 | 23 | Nf=1 |  |
+| F | 9247 | 22 | 9247 | 13 | 21 | Nf=1 |  |
+| F | 9287 | 27 | 9287 | 16 | 26 | Nf=16 |  |
+| F | 9307 | 15 | 9307 | 9 | 14 | Nf=5 |  |
+| F | 9319 | 18 | 9319 | 10 | 17 | Nf=1 |  |
+| F | 9343 | 18 | 9343 | 11 | 17 | Nf=9 |  |
+| F | 9371 | 17 | 9371 | 9 | 16 | Nf=1 |  |
+| F | 9375 | 25 | 9375 | 9 | 24 | Nf=1 |  |
+| F | 9447 | 15 | 9447 | 9 | 14 | Nf=5 |  |
+| F | 9455 | 28 | 9455 | 14 | 27 | Nf=1 |  |
+| F | 9467 | 29 | 9467 | 18 | 28 | Nf=57 |  |
+| F | 9471 | 19 | 9471 | 11 | 18 | Nf=1 |  |
+| F | 9499 | 24 | 9499 | 14 | 23 | Nf=1 |  |
+| F | 9535 | 25 | 9535 | 14 | 24 | Nf=1 |  |
+| F | 9543 | 20 | 9543 | 10 | 19 | Nf=1 |  |
+| F | 9575 | 26 | 9575 | 16 | 25 | Nf=13 |  |
+| F | 9599 | 18 | 9599 | 10 | 17 | Nf=1 |  |
+| F | 9631 | 31 | 9631 | 19 | 30 | Nf=4 |  |
+| F | 9663 | 56 | 9663 | 35 | 55 | Nf=18 |  |
+| F | 9695 | 24 | 9695 | 13 | 23 | Nf=1 |  |
+| F | 9711 | 17 | 9711 | 9 | 16 | Nf=1 |  |
+| F | 9727 | 34 | 9727 | 20 | 33 | Nf=2 |  |
+| F | 9775 | 28 | 9775 | 17 | 27 | Nf=3 |  |
+| F | 9831 | 18 | 9831 | 11 | 17 | Nf=12 |  |
+| F | 9855 | 29 | 9855 | 18 | 28 | Nf=22 |  |
+| F | 9883 | 22 | 9883 | 11 | 21 | Nf=1 |  |
+| F | 9887 | 44 | 9887 | 27 | 43 | Nf=2 |  |
+| F | 9959 | 16 | 9959 | 9 | 15 | Nf=5 |  |
+| F | 9967 | 26 | 9967 | 14 | 25 | Nf=1 |  |
+| F | 9983 | 26 | 9983 | 16 | 25 | Nf=7 |  |
+| F | 10011 | 56 | 10011 | 32 | 55 | Nf=1 |  |
+| F | 10075 | 16 | 10075 | 9 | 15 | Nf=1 |  |
+| F | 10087 | 102 | 10087 | 64 | 101 | Nf=36 |  |
+| F | 10111 | 18 | 10111 | 11 | 17 | Nf=9 |  |
+| F | 10143 | 29 | 10143 | 16 | 28 | Nf=1 |  |
+| F | 10151 | 15 | 10151 | 9 | 14 | Nf=6 |  |
+| F | 10235 | 37 | 10235 | 22 | 36 | Nf=4 |  |
+| F | 10239 | 35 | 10239 | 21 | 34 | Nf=4 |  |
+| F | 10303 | 35 | 10303 | 21 | 34 | Nf=2 |  |
+| F | 10311 | 21 | 10311 | 12 | 20 | Nf=4 |  |
+| F | 10331 | 53 | 10331 | 33 | 52 | Nf=9 |  |
+| F | 10343 | 21 | 10343 | 12 | 20 | Nf=1 |  |
+| F | 10351 | 30 | 10351 | 18 | 29 | Nf=42 |  |
+| F | 10367 | 47 | 10367 | 28 | 46 | Nf=1 |  |
+| F | 10399 | 21 | 10399 | 11 | 20 | Nf=1 |  |
+| F | 10407 | 29 | 10407 | 18 | 28 | Nf=46 |  |
+| F | 10479 | 31 | 10479 | 19 | 30 | Nf=4 |  |
+| F | 10491 | 24 | 10491 | 14 | 23 | Nf=6 |  |
+| F | 10495 | 19 | 10495 | 11 | 18 | Nf=9 |  |
+| F | 10559 | 17 | 10559 | 10 | 16 | Nf=2 |  |
+| F | 10567 | 20 | 10567 | 11 | 19 | Nf=1 |  |
+| F | 10599 | 37 | 10599 | 22 | 36 | Nf=1 |  |
+| F | 10655 | 16 | 10655 | 9 | 15 | Nf=1 |  |
+| F | 10687 | 21 | 10687 | 12 | 20 | Nf=1 |  |
+| F | 10719 | 23 | 10719 | 13 | 22 | Nf=1 |  |
+| F | 10735 | 16 | 10735 | 9 | 15 | Nf=1 |  |
+| F | 10751 | 33 | 10751 | 20 | 32 | Nf=1 |  |
+| F | 10843 | 27 | 10843 | 14 | 26 | Nf=1 |  |
+| F | 10863 | 17 | 10863 | 9 | 16 | Nf=1 |  |
+| F | 10879 | 41 | 10879 | 24 | 40 | Nf=1 |  |
+| F | 10907 | 21 | 10907 | 11 | 20 | Nf=1 |  |
+| F | 10911 | 40 | 10911 | 22 | 39 | Nf=1 |  |
+| F | 10919 | 57 | 10919 | 35 | 56 | Nf=2 |  |
+| F | 10943 | 31 | 10943 | 18 | 30 | Nf=1 |  |
+| F | 10983 | 30 | 10983 | 18 | 29 | Nf=40 |  |
+| F | 10991 | 22 | 10991 | 13 | 21 | Nf=2 |  |
+| F | 11003 | 24 | 11003 | 14 | 23 | Nf=1 |  |
+| F | 11007 | 19 | 11007 | 11 | 18 | Nf=1 |  |
+| F | 11035 | 20 | 11035 | 10 | 19 | Nf=1 |  |
+| F | 11071 | 29 | 11071 | 17 | 28 | Nf=1 |  |
+| F | 11079 | 25 | 11079 | 9 | 24 | Nf=1 |  |
+| F | 11111 | 30 | 11111 | 12 | 29 | Nf=1 |  |
+| F | 11135 | 38 | 11135 | 22 | 37 | Nf=1 |  |
+| F | 11175 | 36 | 11175 | 21 | 35 | Nf=2 |  |
+| F | 11199 | 23 | 11199 | 14 | 22 | Nf=5 |  |
+| F | 11247 | 18 | 11247 | 11 | 17 | Nf=13 |  |
+| F | 11263 | 53 | 11263 | 30 | 52 | Nf=1 |  |
+| F | 11291 | 74 | 11291 | 45 | 73 | Nf=1 |  |
+| F | 11295 | 24 | 11295 | 13 | 23 | Nf=1 |  |
+| F | 11355 | 23 | 11355 | 12 | 22 | Nf=1 |  |
+| F | 11367 | 26 | 11367 | 16 | 25 | Nf=9 |  |
+| F | 11375 | 15 | 11375 | 9 | 14 | Nf=4 |  |
+| F | 11391 | 50 | 11391 | 28 | 49 | Nf=1 |  |
+| F | 11419 | 28 | 11419 | 14 | 27 | Nf=1 |  |
+| F | 11423 | 22 | 11423 | 11 | 21 | Nf=1 |  |
+| F | 11431 | 17 | 11431 | 10 | 16 | Nf=2 |  |
+| F | 11455 | 15 | 11455 | 9 | 14 | Nf=4 |  |
+| F | 11495 | 25 | 11495 | 15 | 24 | Nf=2 |  |
+| F | 11503 | 45 | 11503 | 27 | 44 | Nf=2 |  |
+| F | 11515 | 34 | 11515 | 20 | 33 | Nf=2 |  |
+| F | 11519 | 37 | 11519 | 22 | 36 | Nf=1 |  |
+| F | 11547 | 31 | 11547 | 16 | 30 | Nf=1 |  |
+| F | 11567 | 16 | 11567 | 9 | 15 | Nf=5 |  |
+| F | 11583 | 22 | 11583 | 13 | 21 | Nf=1 |  |
+| F | 11591 | 29 | 11591 | 18 | 28 | Nf=67 |  |
+| F | 11623 | 49 | 11623 | 30 | 48 | Nf=46 |  |
+| F | 11679 | 19 | 11679 | 9 | 18 | Nf=1 |  |
+| F | 11711 | 25 | 11711 | 12 | 24 | Nf=1 |  |
+| F | 11759 | 20 | 11759 | 12 | 19 | Nf=3 |  |
+| F | 11775 | 28 | 11775 | 15 | 27 | Nf=1 |  |
+| F | 11803 | 21 | 11803 | 12 | 20 | Nf=4 |  |
+| F | 11807 | 16 | 11807 | 9 | 15 | Nf=4 |  |
+| F | 11823 | 18 | 11823 | 10 | 17 | Nf=1 |  |
+| F | 11903 | 42 | 11903 | 24 | 41 | Nf=1 |  |
+| F | 11931 | 49 | 11931 | 30 | 48 | Nf=2 |  |
+| F | 11935 | 25 | 11935 | 14 | 24 | Nf=1 |  |
+| F | 11967 | 16 | 11967 | 9 | 15 | Nf=3 |  |
+| F | 12007 | 19 | 12007 | 10 | 18 | Nf=1 |  |
+| F | 12015 | 23 | 12015 | 14 | 22 | Nf=4 |  |
+| F | 12031 | 28 | 12031 | 16 | 27 | Nf=1 |  |
+| F | 12059 | 20 | 12059 | 11 | 19 | Nf=1 |  |
+| F | 12123 | 23 | 12123 | 13 | 22 | Nf=2 |  |
+| F | 12135 | 40 | 12135 | 24 | 39 | Nf=3 |  |
+| F | 12191 | 20 | 12191 | 12 | 19 | Nf=3 |  |
+| F | 12199 | 19 | 12199 | 11 | 18 | Nf=16 |  |
+| F | 12223 | 37 | 12223 | 21 | 36 | Nf=1 |  |
+| F | 12287 | 44 | 12287 | 26 | 43 | Nf=1 |  |
+| F | 12315 | 20 | 12315 | 12 | 19 | Nf=4 |  |
+| F | 12319 | 15 | 12319 | 9 | 14 | Nf=4 |  |
+| F | 12335 | 23 | 12335 | 14 | 22 | Nf=7 |  |
+| F | 12359 | 27 | 12359 | 14 | 26 | Nf=1 |  |
+| F | 12379 | 18 | 12379 | 11 | 17 | Nf=14 |  |
+| F | 12399 | 76 | 12399 | 47 | 75 | Nf=3 |  |
+| F | 12447 | 47 | 12447 | 27 | 46 | Nf=1 |  |
+| F | 12455 | 26 | 12455 | 15 | 25 | Nf=1 |  |
+| F | 12479 | 20 | 12479 | 11 | 19 | Nf=1 |  |
+| F | 12511 | 18 | 12511 | 9 | 17 | Nf=1 |  |
+| F | 12527 | 29 | 12527 | 18 | 28 | Nf=51 |  |
+| F | 12539 | 50 | 12539 | 29 | 49 | Nf=1 |  |
+| F | 12543 | 16 | 12543 | 9 | 15 | Nf=1 |  |
+| F | 12571 | 23 | 12571 | 9 | 22 | Nf=1 |  |
+| F | 12591 | 20 | 12591 | 11 | 19 | Nf=2 |  |
+| F | 12607 | 24 | 12607 | 14 | 23 | Nf=4 |  |
+| F | 12615 | 20 | 12615 | 10 | 19 | Nf=1 |  |
+| F | 12703 | 71 | 12703 | 43 | 70 | Nf=1 |  |
+| F | 12735 | 28 | 12735 | 16 | 27 | Nf=1 |  |
+| F | 12767 | 27 | 12767 | 16 | 26 | Nf=13 |  |
+| F | 12783 | 31 | 12783 | 18 | 30 | Nf=1 |  |
+| F | 12799 | 20 | 12799 | 11 | 19 | Nf=1 |  |
+| F | 12827 | 17 | 12827 | 9 | 16 | Nf=1 |  |
+| F | 12847 | 25 | 12847 | 12 | 24 | Nf=1 |  |
+| F | 12891 | 23 | 12891 | 13 | 22 | Nf=1 |  |
+| F | 12911 | 20 | 12911 | 11 | 19 | Nf=1 |  |
+| F | 12927 | 31 | 12927 | 17 | 30 | Nf=1 |  |
+| F | 12955 | 31 | 12955 | 18 | 30 | Nf=2 |  |
+| F | 12959 | 34 | 12959 | 20 | 33 | Nf=1 |  |
+| F | 12967 | 17 | 12967 | 9 | 16 | Nf=1 |  |
+| F | 12991 | 28 | 12991 | 14 | 27 | Nf=1 |  |
+| F | 13031 | 19 | 13031 | 11 | 18 | Nf=1 |  |
+| F | 13039 | 25 | 13039 | 15 | 24 | Nf=2 |  |
+| F | 13055 | 27 | 13055 | 16 | 26 | Nf=1 |  |
+| F | 13083 | 15 | 13083 | 9 | 14 | Nf=4 |  |
+| F | 13127 | 22 | 13127 | 11 | 21 | Nf=1 |  |
+| F | 13159 | 22 | 13159 | 12 | 21 | Nf=1 |  |
+| F | 13183 | 46 | 13183 | 28 | 45 | Nf=2 |  |
+| F | 13247 | 25 | 13247 | 13 | 24 | Nf=1 |  |
+| F | 13279 | 18 | 13279 | 10 | 17 | Nf=2 |  |
+| F | 13311 | 28 | 13311 | 17 | 27 | Nf=2 |  |
+| F | 13339 | 19 | 13339 | 10 | 18 | Nf=1 |  |
+| F | 13343 | 31 | 13343 | 16 | 30 | Nf=1 |  |
+| F | 13403 | 29 | 13403 | 17 | 28 | Nf=1 |  |
+| F | 13415 | 31 | 13415 | 18 | 30 | Nf=1 |  |
+| F | 13423 | 46 | 13423 | 28 | 45 | Nf=2 |  |
+| F | 13439 | 72 | 13439 | 42 | 71 | Nf=1 |  |
+| F | 13471 | 23 | 13471 | 11 | 22 | Nf=1 |  |
+| F | 13479 | 20 | 13479 | 11 | 19 | Nf=2 |  |
+| F | 13503 | 42 | 13503 | 26 | 41 | Nf=7 |  |
+| F | 13535 | 17 | 13535 | 10 | 16 | Nf=3 |  |
+| F | 13543 | 32 | 13543 | 19 | 31 | Nf=1 |  |
+| F | 13551 | 68 | 13551 | 42 | 67 | Nf=2 |  |
+| F | 13567 | 17 | 13567 | 9 | 16 | Nf=1 |  |
+| F | 13595 | 21 | 13595 | 11 | 20 | Nf=1 |  |
+| F | 13615 | 17 | 13615 | 10 | 16 | Nf=2 |  |
+| F | 13639 | 20 | 13639 | 11 | 19 | Nf=1 |  |
+| F | 13671 | 18 | 13671 | 11 | 17 | Nf=13 |  |
+| F | 13695 | 16 | 13695 | 9 | 15 | Nf=4 |  |
+| F | 13727 | 19 | 13727 | 11 | 18 | Nf=8 |  |
+| F | 13759 | 54 | 13759 | 32 | 53 | Nf=1 |  |
+| F | 13791 | 18 | 13791 | 11 | 17 | Nf=11 |  |
+| F | 13823 | 49 | 13823 | 29 | 48 | Nf=1 |  |
+| F | 13851 | 16 | 13851 | 9 | 15 | Nf=1 |  |
+| F | 13855 | 17 | 13855 | 10 | 16 | Nf=2 |  |
+| F | 13871 | 18 | 13871 | 11 | 17 | Nf=11 |  |
+| F | 13927 | 15 | 13927 | 9 | 14 | Nf=5 |  |
+| F | 13951 | 18 | 13951 | 11 | 17 | Nf=10 |  |
+| F | 13983 | 38 | 13983 | 22 | 37 | Nf=1 |  |
+| F | 14015 | 17 | 14015 | 10 | 16 | Nf=2 |  |
+| F | 14055 | 35 | 14055 | 18 | 34 | Nf=1 |  |
+| F | 14079 | 30 | 14079 | 16 | 29 | Nf=1 |  |
+| F | 14107 | 47 | 14107 | 27 | 46 | Nf=1 |  |
+| F | 14183 | 21 | 14183 | 12 | 20 | Nf=3 |  |
+| F | 14207 | 15 | 14207 | 9 | 14 | Nf=3 |  |
+| F | 14247 | 26 | 14247 | 16 | 25 | Nf=15 |  |
+| F | 14271 | 16 | 14271 | 9 | 15 | Nf=1 |  |
+| F | 14331 | 15 | 14331 | 9 | 14 | Nf=7 |  |
+| F | 14335 | 35 | 14335 | 21 | 34 | Nf=1 |  |
+| F | 14363 | 18 | 14363 | 11 | 17 | Nf=18 |  |
+| F | 14367 | 27 | 14367 | 16 | 26 | Nf=11 |  |
+| F | 14383 | 19 | 14383 | 11 | 18 | Nf=18 |  |
+| F | 14399 | 17 | 14399 | 9 | 16 | Nf=1 |  |
+| F | 14427 | 28 | 14427 | 17 | 27 | Nf=3 |  |
+| F | 14439 | 17 | 14439 | 9 | 16 | Nf=1 |  |
+| F | 14447 | 30 | 14447 | 18 | 29 | Nf=2 |  |
+| F | 14463 | 21 | 14463 | 12 | 20 | Nf=1 |  |
+| F | 14495 | 54 | 14495 | 33 | 53 | Nf=6 |  |
+| F | 14503 | 20 | 14503 | 11 | 19 | Nf=1 |  |
+| F | 14559 | 59 | 14559 | 36 | 58 | Nf=1 |  |
+| F | 14575 | 28 | 14575 | 16 | 27 | Nf=1 |  |
+| F | 14587 | 22 | 14587 | 12 | 21 | Nf=1 |  |
+| F | 14591 | 33 | 14591 | 19 | 32 | Nf=1 |  |
+| F | 14619 | 27 | 14619 | 16 | 26 | Nf=14 |  |
+| F | 14655 | 24 | 14655 | 14 | 23 | Nf=1 |  |
+| F | 14663 | 27 | 14663 | 16 | 26 | Nf=2 |  |
+| F | 14695 | 37 | 14695 | 23 | 36 | Nf=23 |  |
+| F | 14783 | 28 | 14783 | 17 | 27 | Nf=2 |  |
+| F | 14815 | 32 | 14815 | 13 | 31 | Nf=1 |  |
+| F | 14831 | 43 | 14831 | 26 | 42 | Nf=1 |  |
+| F | 14847 | 38 | 14847 | 23 | 37 | Nf=13 |  |
+| F | 14895 | 18 | 14895 | 9 | 17 | Nf=1 |  |
+| F | 14951 | 25 | 14951 | 13 | 24 | Nf=1 |  |
+| F | 14959 | 29 | 14959 | 18 | 28 | Nf=51 |  |
+| F | 14975 | 25 | 14975 | 15 | 24 | Nf=2 |  |
+| F | 15003 | 25 | 15003 | 15 | 24 | Nf=2 |  |
+| F | 15015 | 30 | 15015 | 18 | 29 | Nf=54 |  |
+| F | 15039 | 84 | 15039 | 52 | 83 | Nf=2 |  |
+| F | 15079 | 26 | 15079 | 15 | 25 | Nf=1 |  |
+| F | 15087 | 29 | 15087 | 17 | 28 | Nf=1 |  |
+| F | 15099 | 27 | 15099 | 15 | 26 | Nf=1 |  |
+| F | 15103 | 19 | 15103 | 11 | 18 | Nf=10 |  |
+| F | 15131 | 72 | 15131 | 45 | 71 | Nf=11 |  |
+| F | 15167 | 17 | 15167 | 10 | 16 | Nf=2 |  |
+| F | 15207 | 17 | 15207 | 10 | 16 | Nf=2 |  |
+| F | 15231 | 24 | 15231 | 12 | 23 | Nf=1 |  |
+| F | 15295 | 18 | 15295 | 9 | 17 | Nf=1 |  |
+| F | 15327 | 27 | 15327 | 16 | 26 | Nf=2 |  |
+| F | 15343 | 16 | 15343 | 9 | 15 | Nf=4 |  |
+| F | 15355 | 20 | 15355 | 11 | 19 | Nf=1 |  |
+| F | 15359 | 34 | 15359 | 20 | 33 | Nf=1 |  |
+| F | 15387 | 20 | 15387 | 12 | 19 | Nf=4 |  |
+| F | 15391 | 23 | 15391 | 13 | 22 | Nf=2 |  |
+| F | 15423 | 18 | 15423 | 10 | 17 | Nf=2 |  |
+| F | 15463 | 33 | 15463 | 16 | 32 | Nf=1 |  |
+| F | 15471 | 29 | 15471 | 18 | 28 | Nf=34 |  |
+| F | 15487 | 17 | 15487 | 10 | 16 | Nf=1 |  |
+| F | 15515 | 15 | 15515 | 9 | 14 | Nf=5 |  |
+| F | 15519 | 54 | 15519 | 32 | 53 | Nf=1 |  |
+| F | 15527 | 29 | 15527 | 17 | 28 | Nf=4 |  |
+| F | 15551 | 46 | 15551 | 27 | 45 | Nf=1 |  |
+| F | 15599 | 20 | 15599 | 10 | 19 | Nf=1 |  |
+| F | 15611 | 28 | 15611 | 17 | 27 | Nf=4 |  |
+| F | 15615 | 27 | 15615 | 13 | 26 | Nf=1 |  |
+| F | 15643 | 21 | 15643 | 10 | 20 | Nf=1 |  |
+| F | 15663 | 22 | 15663 | 13 | 21 | Nf=2 |  |
+| F | 15679 | 22 | 15679 | 13 | 21 | Nf=2 |  |
+| F | 15719 | 20 | 15719 | 12 | 19 | Nf=3 |  |
+| F | 15743 | 18 | 15743 | 10 | 17 | Nf=2 |  |
+| F | 15775 | 19 | 15775 | 11 | 18 | Nf=1 |  |
+| F | 15807 | 18 | 15807 | 11 | 17 | Nf=7 |  |
+| F | 15839 | 16 | 15839 | 9 | 15 | Nf=1 |  |
+| F | 15855 | 15 | 15855 | 9 | 14 | Nf=4 |  |
+| F | 15871 | 44 | 15871 | 25 | 43 | Nf=1 |  |
+| F | 15899 | 36 | 15899 | 21 | 35 | Nf=1 |  |
+| F | 15903 | 23 | 15903 | 14 | 22 | Nf=5 |  |
+| F | 15919 | 16 | 15919 | 9 | 15 | Nf=1 |  |
+| F | 15975 | 18 | 15975 | 11 | 17 | Nf=13 |  |
+| F | 15999 | 28 | 15999 | 17 | 27 | Nf=2 |  |
+| F | 16027 | 18 | 16027 | 9 | 17 | Nf=1 |  |
+| F | 16031 | 20 | 16031 | 11 | 19 | Nf=1 |  |
+| F | 16063 | 30 | 16063 | 18 | 29 | Nf=45 |  |
+| F | 16111 | 25 | 16111 | 15 | 24 | Nf=3 |  |
+| F | 16127 | 32 | 16127 | 19 | 31 | Nf=1 |  |
+| F | 16155 | 42 | 16155 | 26 | 41 | Nf=9 |  |
+| F | 16219 | 15 | 16219 | 9 | 14 | Nf=6 |  |
+| F | 16231 | 25 | 16231 | 15 | 24 | Nf=2 |  |
+| F | 16255 | 18 | 16255 | 11 | 17 | Nf=10 |  |
+| F | 16287 | 19 | 16287 | 9 | 18 | Nf=1 |  |
+| F | 16319 | 40 | 16319 | 23 | 39 | Nf=1 |  |
+| F | 16367 | 29 | 16367 | 18 | 28 | Nf=84 |  |
+| F | 16379 | 56 | 16379 | 34 | 55 | Nf=1 |  |
+| F | 16383 | 46 | 16383 | 27 | 45 | Nf=1 |  |
+
+## Notes
+
+- `D_exact` et `F` sont relevées au module minimal \(2^{A+1}\) qui fige le mot de valuations du témoin.
+- `D_brother_local` encode une dépendance locale (palier du domaine) vers un `mate_exact` ; elle n’est pas utilisée ici comme clause universelle autonome.
+
diff --git a/docs/artefacts/collatz/universal_clauses/palier2p14/verification_universal_clauses.json b/docs/artefacts/collatz/universal_clauses/palier2p14/verification_universal_clauses.json
new file mode 100644
index 0000000..ccf50c6
--- /dev/null
+++ b/docs/artefacts/collatz/universal_clauses/palier2p14/verification_universal_clauses.json
@@ -0,0 +1,17 @@
+{
+  "inputs": {
+    "verification_c3_local_descent_json": "docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json",
+    "clauses_universelles_json": "docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.json"
+  },
+  "domain": {
+    "palier": 14,
+    "max_stable_modulus_power": 102
+  },
+  "counts": {
+    "ok_records": 768,
+    "D_exact": 60,
+    "F": 648,
+    "D_brother_local": 60
+  },
+  "ok": true
+}
diff --git a/docs/artefacts/collatz/universal_clauses/palier2p14/verification_universal_clauses.md b/docs/artefacts/collatz/universal_clauses/palier2p14/verification_universal_clauses.md
new file mode 100644
index 0000000..2050bf5
--- /dev/null
+++ b/docs/artefacts/collatz/universal_clauses/palier2p14/verification_universal_clauses.md
@@ -0,0 +1,22 @@
+**Auteur** : Équipe 4NK
+
+# Vérification déterministe — clauses universelles extraites (Option A)
+
+## Entrées
+
+- C3 vérification JSON : `docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json`
+- clauses JSON : `docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.json`
+
+## Résultat
+
+- ok : True
+- palier (domaine) : 2^14
+- max(2^m_stable) observé : 2^102
+
+## Compteurs
+
+- ok_records : 768
+- D_exact : 60
+- F : 648
+- D_brother_local : 60
+
diff --git a/docs/collatz_run_report_2026-03-09_c3_local_descent_palier2p14.md b/docs/collatz_run_report_2026-03-09_c3_local_descent_palier2p14.md
new file mode 100644
index 0000000..563fec8
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_c3_local_descent_palier2p14.md
@@ -0,0 +1,44 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — c3_local_descent_palier2p14
+
+## Contexte
+
+- **But du run** : vérifier C3 (clôture locale sur Lift(B12) au palier 2^14) via témoins D8/Fusion.
+- **Assertion vérifiée** : cohérence arithmétique des témoins (U(m)=U^t(n), m<n) et agrégats (N*).
+
+## Code et reproductibilité
+
+- **Commit Git** : `67eb6a5e684491dd1bb1bb708243a379598040aa`
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile c3_local_descent_palier --out-dir applications/collatz/out --docs-dir docs --c3-artefacts-dir docs/artefacts/collatz/c3_local_descent --c3-palier 14
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_verify_c3_local_descent.py`
+  - sha256: `61fe372d90bc6c5959f4406ff308bbf4858db0e3aa216904e81d071f43f5518b`
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_k_core.py`
+  - sha256: `2d5fb9fff733c37a2fa88334b034b70bfe23665d5a13bf4b2407bb13de7227dc`
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_k_fusion.py`
+  - sha256: `421d4384b501129a2039c67a327e57e0dd891cdf125c1d74499627bc20a3f62f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json`
+  - sha256: `baa4b71bf2d520864966769175286a552a0b65a646f3cfeeb37f7b8e34341f1a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.md`
+  - sha256: `854b29df74934caff5911e989911cd2805fe1e6b1b09f0af62148fc24a2c9771`
+
+## Compteurs et métriques
+
+- palier : 2^14
+- |Lift(B12)| : 768
+- D8 : 120 (exact=60, brothers=60)
+- Fusion : 648
+- N* (max seuils N0/Nf calculés) : 138
+- base validation checked up to : 16383
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E10_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E10_palier2p14.md
new file mode 100644
index 0000000..df6e593
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E10_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E10_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_E10_B12.json`
+  - sha256: `6364b5fd4bc1ab8a048ad5e7694190b34f6d6947a2c7ca3bf56a37315c68a024`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_Lift_E10_palier2p14.json`
+  - sha256: `5afd246f18cedc90a38eb2b4eaa78b7bdb7d65d3bd63044b7bb81001dda8a321`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/noyaux/noyau_post_D8_E10_palier2p14.json`
+  - sha256: `05e760420d79635fc3ea9dc87c19474b06ab435a7149f6ee85ceb8ec8a598a01`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/candidats/candidats_D8_E10_palier2p14.csv`
+  - sha256: `36ab4a5e9c801b4c2c87365ac471c80eb89342479f7947045e2a9a41cb5a0f20`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/candidats/candidats_F9to18_E10_palier2p14.csv`
+  - sha256: `3fe3f576c8602813fa0b0023f541a843af11c6a9771f5bce4bc3c500abbe7151`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_D8_E10_palier2p14.json`
+  - sha256: `adf298f4fe6c82249eb088d81dd27058e477dc95f264ae25dc3227475fea3a19`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/certificats/certificat_F9to18_E10_palier2p14.json`
+  - sha256: `592b752f39e086f21a4c3708dfa5a6212e6ebe5d8538ad31842aa6c45955ca11`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14/audits/verification_H6_E10_palier2p14.md`
+  - sha256: `22b67637f2ec352edee84a84f2aa7d30433704b113da759772d3410e21fcfef6`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E10_palier2p14.json)| : 2
+- |covered(certificat_F9to18_E10_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E10_palier2p14.json) : 14
+- palier(certificat_F9to18_E10_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E10_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E11_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E11_palier2p14.md
new file mode 100644
index 0000000..16a8e9e
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E11_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E11_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_E11_B12.json`
+  - sha256: `8996005c83f3fd3345ebf196383c23f6b6f467daa1b89173c8e0a911a5121e83`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_Lift_E11_palier2p14.json`
+  - sha256: `ddf64011125df05ac58078d8020012cdfba138917939b00aecbcd0fd3b53b46f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/noyaux/noyau_post_D8_E11_palier2p14.json`
+  - sha256: `431941adff9572059499447789065a968103c365ad0c5dc4dc005502073e6c96`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/candidats/candidats_D8_E11_palier2p14.csv`
+  - sha256: `d6fc020c3796d688b60298180849a200f42fac5b32fb5e424acdc3e431414031`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/candidats/candidats_F9to43_E11_palier2p14.csv`
+  - sha256: `f2ae0633eb66c04fa90828160cbaf8ad7c47b2a2d62810b42a37a1d7be0b064c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_D8_E11_palier2p14.json`
+  - sha256: `2588dbdb1fc4da4407bcd08c4d97641a9e2c06bcf967564bc218e9cb9462a0ca`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/certificats/certificat_F9to43_E11_palier2p14.json`
+  - sha256: `e23ea57db41a83a61ed4ecc6c281d8517d1a254962616303f98c62b3c840d9ea`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14/audits/verification_H6_E11_palier2p14.md`
+  - sha256: `c8d839a408105ff6cfe45028e0039b3974e84a080a62cf1f144b3bfbe56c1936`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E11_palier2p14.json)| : 2
+- |covered(certificat_F9to43_E11_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E11_palier2p14.json) : 14
+- palier(certificat_F9to43_E11_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E11_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E12_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E12_palier2p14.md
new file mode 100644
index 0000000..9b3985e
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E12_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E12_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_E12_B12.json`
+  - sha256: `f595058f305689f42040651d8f47f23827daecce8cadfeaaa1667c30b9a0da8b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_Lift_E12_palier2p14.json`
+  - sha256: `7ff82ffd1920a8d8656fda5f646db624be965603fe22828c1cc653f4164153cb`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/noyaux/noyau_post_D8_E12_palier2p14.json`
+  - sha256: `d72a4c1a6fb0472badd686b182879aa0e68f6cb33fa2bc27a7351a9cb0151d23`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/candidats/candidats_D8_E12_palier2p14.csv`
+  - sha256: `ca92de92b0ea03465509a1d8a93ab91c55e3f3b8608bff484e2c689fadfc05d9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/candidats/candidats_F9to50_E12_palier2p14.csv`
+  - sha256: `ec2530b567ac6a2c498f85ad63794ba299a4e9b2b6f9af228cd481569e7ae72f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_D8_E12_palier2p14.json`
+  - sha256: `8997df8a77be70323bb32c30fcd78ab7b5af381059a3b6f3e0d36b07c634bf75`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/certificats/certificat_F9to50_E12_palier2p14.json`
+  - sha256: `bff969d9cdf03a53de822d27468ae31b5f090ab00c9e4c78c8ac96a4837ad8a1`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14/audits/verification_H6_E12_palier2p14.md`
+  - sha256: `5bba87dde07c502e55e28c8411c1200a31331adf48b89a2b9248493b677c92a4`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E12_palier2p14.json)| : 2
+- |covered(certificat_F9to50_E12_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E12_palier2p14.json) : 14
+- palier(certificat_F9to50_E12_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E12_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E13_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E13_palier2p14.md
new file mode 100644
index 0000000..f2d99a6
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E13_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E13_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_E13_B12.json`
+  - sha256: `40cb3e91a99152a0231ecebaa5f1d5ceade09fdf61bd6e813f528a5eadae5c2c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_Lift_E13_palier2p14.json`
+  - sha256: `438caff76b7904b8b387bfbf4f0aab22c9d0dfafbefda28cdf2b367b4f405229`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/noyaux/noyau_post_D8_E13_palier2p14.json`
+  - sha256: `d6412e3d678db2d85b2276b70a77c82b59e8f49bbbb3bdb9da1f56750975b9fb`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/candidats/candidats_D8_E13_palier2p14.csv`
+  - sha256: `e74653e4e004313e367fb0d8f9fd38b6be812b1a1b27b039b42989c7b2de1791`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/candidats/candidats_F9to24_E13_palier2p14.csv`
+  - sha256: `99ece7506d84b2789ec4ee153ce91e95ff7aba38b009cf0f587fb1dd194f2561`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_D8_E13_palier2p14.json`
+  - sha256: `fedb27a03ab5bf346c1e95f880f31d7c2a4ece4f9ead93a0032531d06701bbe7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/certificats/certificat_F9to24_E13_palier2p14.json`
+  - sha256: `68e6516aba5926a7f4b681a04bb6c85b2c03a668b48d4f0a331571f918e7cd0c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14/audits/verification_H6_E13_palier2p14.md`
+  - sha256: `136df372d4d534b846564304d032d9418f17ad93fc28edfee66608b1154b352d`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E13_palier2p14.json)| : 2
+- |covered(certificat_F9to24_E13_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E13_palier2p14.json) : 14
+- palier(certificat_F9to24_E13_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E13_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E14_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E14_palier2p14.md
new file mode 100644
index 0000000..71b6766
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E14_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E14_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_E14_B12.json`
+  - sha256: `0fefda641c1665c8bc2861541412ab41705102558bd757a88ed798e987d134e5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_Lift_E14_palier2p14.json`
+  - sha256: `d5cee2ef957cf526b990cd77a4c1fe5471ce5f1175c467cc0b94591b68009916`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/noyaux/noyau_post_D8_E14_palier2p14.json`
+  - sha256: `8a1fccff2231a5cdea2776a1273dc1f8fa5f7f2db21855371c3c8c83b2482db0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/candidats/candidats_D8_E14_palier2p14.csv`
+  - sha256: `aa0d8b447bce758a28f79efd5f9e7bcd6495be28eef273cc09a02e78a9a0bd6c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/candidats/candidats_F9to41_E14_palier2p14.csv`
+  - sha256: `2600211e8e9ad5e6e95781ddf01fb51d9504cc1ac74a6808fcb98984fba169d6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_D8_E14_palier2p14.json`
+  - sha256: `6975a6e99302920a550d6f02e661330260896df9513b73410788a7f281ee77d7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/certificats/certificat_F9to41_E14_palier2p14.json`
+  - sha256: `8981eb3c188c82945a9046d7b0984573cec54764fe72d0b07cddc2c852dd9f22`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14/audits/verification_H6_E14_palier2p14.md`
+  - sha256: `b55c58ef6d9759479856e3eb5961627a06f07520d3210055791fda3c367fe38b`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E14_palier2p14.json)| : 2
+- |covered(certificat_F9to41_E14_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E14_palier2p14.json) : 14
+- palier(certificat_F9to41_E14_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E14_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E15_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E15_palier2p14.md
new file mode 100644
index 0000000..ddf3009
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E15_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E15_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_E15_B12.json`
+  - sha256: `0a403a44023e9084960a724f44ccda01b25839192e4f5b136b6fe00c9ee0a637`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_Lift_E15_palier2p14.json`
+  - sha256: `d259e3d480c4b34716c85d0c43afb006d14257e27423600c541022240470a9e8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/noyaux/noyau_post_D8_E15_palier2p14.json`
+  - sha256: `6a2150f2d2159c550e4f1f3bcd0bd118804378dbaa36b5eabffae122fb8e957d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/candidats/candidats_D8_E15_palier2p14.csv`
+  - sha256: `bcc8175fec54ad0f7e4d1ec168345293c9415adc49e62f91c575f84305998e08`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/candidats/candidats_F9to47_E15_palier2p14.csv`
+  - sha256: `1be1e783715d9d0c06d24899df753965b3bc2fc7aab978a55fe2c3b896567399`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_D8_E15_palier2p14.json`
+  - sha256: `1712effe99ac085c4c5523e8b779d1c0219bc645db99dc1abeb11f7b49978994`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/certificats/certificat_F9to47_E15_palier2p14.json`
+  - sha256: `86a96bc8e0d80fa732579b75c7f6bbdaced08231db5ecaf55acd1cbfcc327fd8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14/audits/verification_H6_E15_palier2p14.md`
+  - sha256: `eeea1036dba6555cdfe09b0851bd5f0ba520309a461c0c42fa4477ac5577b4e8`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E15_palier2p14.json)| : 2
+- |covered(certificat_F9to47_E15_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E15_palier2p14.json) : 14
+- palier(certificat_F9to47_E15_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E15_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E16_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E16_palier2p14.md
new file mode 100644
index 0000000..a7917e8
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E16_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E16_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_E16_B12.json`
+  - sha256: `b0a423441e30d53f7398c05f476ecabb1bf97a2f4436840927a3cc2c63c3fe71`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_Lift_E16_palier2p14.json`
+  - sha256: `65f28219eeae68d9b7df7b2cd243b2747005e0c72ce8631fb19b546aed7451f5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/noyaux/noyau_post_D8_E16_palier2p14.json`
+  - sha256: `b7dc7b2c2b83701d08894ab273a982de0905d2d6ee5ce83eda9dc7633f27ba65`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_D8_E16_palier2p14.csv`
+  - sha256: `2f64eafaa182f28013a7472179c906d11d801af42d8ab435e03f06f0c0780bf6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/candidats/candidats_F9to49_E16_palier2p14.csv`
+  - sha256: `cf043f9b5b31184e1db51470a2ee8326119bc12d3c1412d5b67c47a181763955`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_D8_E16_palier2p14.json`
+  - sha256: `a847b613d771a7fb80b353c38c7f8396ddd42ef7dcd9c6315492ffcd1981d52a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/certificats/certificat_F9to49_E16_palier2p14.json`
+  - sha256: `c18da6dbea494b475a66933fd71029794a9911e1def68ef0b243a64f5e9e0f80`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14/audits/verification_H6_E16_palier2p14.md`
+  - sha256: `539ff8afec9da24591babd55e38414dbb437072e4028086755b982ec9f592445`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E16_palier2p14.json)| : 2
+- |covered(certificat_F9to49_E16_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E16_palier2p14.json) : 14
+- palier(certificat_F9to49_E16_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E16_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E17_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E17_palier2p14.md
new file mode 100644
index 0000000..92f62f8
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E17_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E17_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_E17_B12.json`
+  - sha256: `21b70d790a514844b000d14d2901700f368a630a4fdde68a606a3175f0d025dc`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_Lift_E17_palier2p14.json`
+  - sha256: `1e0001357551cf11a728f476688b1db5a912b0bf4016e6bf2557d60940a9e47c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/noyaux/noyau_post_D8_E17_palier2p14.json`
+  - sha256: `5c59fa1f84824d339684579fcc69b9c18fe0a2830bfe848e308aacc330d7108e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/candidats/candidats_D8_E17_palier2p14.csv`
+  - sha256: `a71acf45900670f24be89ea811889a745e8c01fb8c6717d2ad0139ee8af15a4d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/candidats/candidats_F9to26_E17_palier2p14.csv`
+  - sha256: `55b67858f6c1890de0799e8c20f3947dd10e6bf2eaa944ee16c767f5b75872f7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_D8_E17_palier2p14.json`
+  - sha256: `b87e1334a192c5cb1342637db938525073c3ee3a282563fd64142a15fe7b2587`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/certificats/certificat_F9to26_E17_palier2p14.json`
+  - sha256: `ed1bea6fd22b52fb35fd53e5a02f5ed873b7f8caf4d3096bb7e5116ff28f9949`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14/audits/verification_H6_E17_palier2p14.md`
+  - sha256: `9bf126e7ff61f8f91f2dd7316525b47a0b8cdce44da542c4438e093a2cca2e8d`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E17_palier2p14.json)| : 2
+- |covered(certificat_F9to26_E17_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E17_palier2p14.json) : 14
+- palier(certificat_F9to26_E17_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E17_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E18_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E18_palier2p14.md
new file mode 100644
index 0000000..2806bbe
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E18_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E18_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_E18_B12.json`
+  - sha256: `179bcbad6afeefa092ebd3e6e1d87c25902a087bcbb69990319319a74ee9ad09`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_Lift_E18_palier2p14.json`
+  - sha256: `b3c12376e28c00045234c8e9f2b4ce7e3ed993655c790e82d24f87bd16e63e03`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/noyaux/noyau_post_D8_E18_palier2p14.json`
+  - sha256: `48b67fb7d85e5669158da757092cdbe898c006aa52e355631a4e1a2ee96ed3c5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/candidats/candidats_D8_E18_palier2p14.csv`
+  - sha256: `4c466f578c067354845dc2cabbe7e0c0097a905b1c5ed8df13f95a7416c88ce6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/candidats/candidats_F9to36_E18_palier2p14.csv`
+  - sha256: `b55c3ace35dd25aa8170ceb9808bf1f592d7ea49e22ffa479ea63feaba9ff2c9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_D8_E18_palier2p14.json`
+  - sha256: `75138d1aec4660b7bfdefacd6e04e9d061e1cad2234ef943a2556a5fa46f48c6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/certificats/certificat_F9to36_E18_palier2p14.json`
+  - sha256: `ad732d5b0ea7981ae9c703e4270f8e498a06876c5a5e98c63d14053a51946dfc`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14/audits/verification_H6_E18_palier2p14.md`
+  - sha256: `b16cbfe5ccd8e4cff28d82669d4eae7994660b923ffe8df7691257c7b128a8da`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E18_palier2p14.json)| : 2
+- |covered(certificat_F9to36_E18_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E18_palier2p14.json) : 14
+- palier(certificat_F9to36_E18_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E18_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E19_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E19_palier2p14.md
new file mode 100644
index 0000000..03fcc4e
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E19_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E19_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_E19_B12.json`
+  - sha256: `7a3a67bbd7b6517b363186a10768cb93ac69c8d4e995809ea49a62d78654f3a8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_Lift_E19_palier2p14.json`
+  - sha256: `fdbeefca26a613d897a2b5167b5c3ce81ae16789ad575a8f602aa1d1ec9d873f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/noyaux/noyau_post_D8_E19_palier2p14.json`
+  - sha256: `1c77f3d30c1bf0fbdb58b4b83c44bf51b3111f19c136cf62a4f9d690cd2c8c4e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/candidats/candidats_D8_E19_palier2p14.csv`
+  - sha256: `169a874245741682668f446476bef464ec218bcff71a5a1b16744f814fc2cc8e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/candidats/candidats_F9to35_E19_palier2p14.csv`
+  - sha256: `d27da60bcf5f81c865094c0b9f91905848a8339b371bd9870c4268174f3be1a3`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_D8_E19_palier2p14.json`
+  - sha256: `f95ff0d5ae1939f9377260a14c233ca198bc600ee129e37cf79e77d894921d89`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/certificats/certificat_F9to35_E19_palier2p14.json`
+  - sha256: `9523c3cc96a73ef31140b8be5bcbd8d455352a474a1af7256acb939acf9a1a84`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14/audits/verification_H6_E19_palier2p14.md`
+  - sha256: `14440ea8e77530646d6bc0757211622f881e50562e594415e189479589796428`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E19_palier2p14.json)| : 2
+- |covered(certificat_F9to35_E19_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E19_palier2p14.json) : 14
+- palier(certificat_F9to35_E19_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E19_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E1_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E1_palier2p14.md
new file mode 100644
index 0000000..e4ffa63
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E1_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E1_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_E1_B12.json`
+  - sha256: `bea8796b50930e431d785cc5080d5d89398dba81f2d67784f2373a2ac7c5aed9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_Lift_E1_palier2p14.json`
+  - sha256: `f749a1b1883fb9326876bb40ae7e656317039082d990610aefa91daa8ccf9748`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/noyaux/noyau_post_D8_E1_palier2p14.json`
+  - sha256: `49eb1a90b43eec2f4beaf3c7d09d89ab1003d027482fad45724ca8299f73d783`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_D8_E1_palier2p14.csv`
+  - sha256: `07b79ec4a16c42d9c87384d005a37030563951c656af33f1f4e1857be8ff114d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/candidats/candidats_F9to43_E1_palier2p14.csv`
+  - sha256: `fedd98438a5acb555ef7d71f652f4ca5f5823385970f4b89d6d659aa3ae9ba29`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_D8_E1_palier2p14.json`
+  - sha256: `1821c05cfc555d995cb73fc428930053939466adb302ed0538ee126d40560940`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/certificats/certificat_F9to43_E1_palier2p14.json`
+  - sha256: `49fd7665062ec69a546ce2ad85177b809b5650787154c6e5b36381ab76527151`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14/audits/verification_H6_E1_palier2p14.md`
+  - sha256: `a29a70aef7f1aaf299fe2d980ef9a78f35fbe3e292e4264a4f240ac456e407b2`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 16
+- palier cible : 14
+- |Lift| : 64
+- |covered(certificat_D8_E1_palier2p14.json)| : 2
+- |covered(certificat_F9to43_E1_palier2p14.json)| : 62
+- |covered(∪ certificats)| : 64
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E1_palier2p14.json) : 14
+- palier(certificat_F9to43_E1_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E1_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E20_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E20_palier2p14.md
new file mode 100644
index 0000000..63f2952
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E20_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E20_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_E20_B12.json`
+  - sha256: `83ad248ce7d65f0bd0dd7f639360ea90eb92f873dbfd7e95c347588b68de035b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_Lift_E20_palier2p14.json`
+  - sha256: `a90f43241b29001cd991b31e07d1bde0ae7bccec3834eb2223b9a4c363eabae4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/noyaux/noyau_post_D8_E20_palier2p14.json`
+  - sha256: `e9f1e8a880774f9cbba23699f5932fc6390455580d771bcc5f73939500034cab`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/candidats/candidats_D8_E20_palier2p14.csv`
+  - sha256: `996f9e90699091db38938b069333520f52122c311af4ab5dc7618dd1d2fa564f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/candidats/candidats_F9to31_E20_palier2p14.csv`
+  - sha256: `61eebadb3b78d70cf3f6e6395a8f9370b51ff133244fae18bf0e658346554f1b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_D8_E20_palier2p14.json`
+  - sha256: `2c1122c08649e4de9126410c0b0d6f6b434831b292e3c25cfeb917d6e1917ba3`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/certificats/certificat_F9to31_E20_palier2p14.json`
+  - sha256: `bc5b73348404b4f7df24f59c2d06c50c768cd9d9a1b76d04375a47c726b9a2fc`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14/audits/verification_H6_E20_palier2p14.md`
+  - sha256: `1dec0121c9ae9d74447ff56bcf213a66d9c9e779c584153f2a49ba3cb3452499`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E20_palier2p14.json)| : 2
+- |covered(certificat_F9to31_E20_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E20_palier2p14.json) : 14
+- palier(certificat_F9to31_E20_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E20_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E21_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E21_palier2p14.md
new file mode 100644
index 0000000..f209f8d
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E21_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E21_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_E21_B12.json`
+  - sha256: `461057a8341e23b97ee40d2ec459411c74379c0d7ce36514132888777bd0c473`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_Lift_E21_palier2p14.json`
+  - sha256: `2f6df347a29e2fd0a3cde414becef2b4918d2456a934fb6bd3800883f042905d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/noyaux/noyau_post_D8_E21_palier2p14.json`
+  - sha256: `d21bf3fd22978d5d957cbbf81ebc683f8a3102c88eb9d9ab3eb2abeedc9cc4af`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/candidats/candidats_D8_E21_palier2p14.csv`
+  - sha256: `5bb8d1a16d7b1fd4d1922000b29c8aa1ebd2503dd85826db898041ea22c7c39e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/candidats/candidats_F9to45_E21_palier2p14.csv`
+  - sha256: `1853c345b6bd62c79ab28fef048f915cb366e92c7cbcef04357aca544426ae4e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_D8_E21_palier2p14.json`
+  - sha256: `c914af3106817585a7fac8880a780276cbffc3f6b95e67fee181628608c113a2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/certificats/certificat_F9to45_E21_palier2p14.json`
+  - sha256: `976ff4e55a9f1d33895927c7da53806fa043f3d4641e46aa1b26f6942398446c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14/audits/verification_H6_E21_palier2p14.md`
+  - sha256: `fe25aac5a57ff51d0f662a0de5841facbbd735fd24ddb65836ea12562dc15f09`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E21_palier2p14.json)| : 2
+- |covered(certificat_F9to45_E21_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E21_palier2p14.json) : 14
+- palier(certificat_F9to45_E21_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E21_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E22_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E22_palier2p14.md
new file mode 100644
index 0000000..c65881e
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E22_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E22_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_E22_B12.json`
+  - sha256: `e07194020bce4ba22c39da3ff192a4bedc3da7ecc2adf2c626f0e1b69ad26db4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_Lift_E22_palier2p14.json`
+  - sha256: `9f84f40f4d672a9139663430520c0f9410080a29b222da2b3b69b50240dc1921`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/noyaux/noyau_post_D8_E22_palier2p14.json`
+  - sha256: `85bb952b5af465124eb13e04fca96be26bc9a7a0b347fffa4fb590c5200f8ee4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_D8_E22_palier2p14.csv`
+  - sha256: `504ca1655fa9483e37e0d7bed1d703acf4e51fe6b37e836506ce426bc6261813`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/candidats/candidats_F9to30_E22_palier2p14.csv`
+  - sha256: `58a8ca61622b1864dc34b29d146d84055243f5d8c4cbe8b727dc2b5b7b880db8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_D8_E22_palier2p14.json`
+  - sha256: `3e5ca091b93abf5bd4c03f932da78da534cea4e66a19d9e0cedc48773d7aaaec`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/certificats/certificat_F9to30_E22_palier2p14.json`
+  - sha256: `0c98170f58e5755f890edac9a3aab0056b4e8dea5fb1efd8ecc608b3ff0e8790`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14/audits/verification_H6_E22_palier2p14.md`
+  - sha256: `eace0dd4856e69b9ac007ba2c99b1130c566384b77e2bb71bf8666ab9d1cba51`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E22_palier2p14.json)| : 2
+- |covered(certificat_F9to30_E22_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E22_palier2p14.json) : 14
+- palier(certificat_F9to30_E22_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E22_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E23_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E23_palier2p14.md
new file mode 100644
index 0000000..31e319b
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E23_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E23_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_E23_B12.json`
+  - sha256: `ec3d786ef2d334885ee745738acfb25598389ded76a3cf4fd4756ae5d1899369`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_Lift_E23_palier2p14.json`
+  - sha256: `971c44bd4fa03cf10975f1d0e749c0610e53055d0dfaedafb7615d55b4a88f34`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/noyaux/noyau_post_D8_E23_palier2p14.json`
+  - sha256: `9b60b9e7d11db3547654e9cb8ad0d8eb85aab03fafa6c25c95a5bf80d0dadeea`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/candidats/candidats_D8_E23_palier2p14.csv`
+  - sha256: `f40ba8792ea06c240ba200a99ca7497239dc4439d8398056f4605a4fafb0a747`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/candidats/candidats_F9to33_E23_palier2p14.csv`
+  - sha256: `93e8396fa2cb5280a3eb63d8781e01f5175918d58cd6e5c03dbf1cbb8d068ad1`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_D8_E23_palier2p14.json`
+  - sha256: `2da5fa01adb175c63906cbe4a4ff90f20af7e155e57ff56aad476b632f074eb8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/certificats/certificat_F9to33_E23_palier2p14.json`
+  - sha256: `ee696fc95deca90a1778660d16db626754ceb3d5c0a6a3a30d15719749e7571d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14/audits/verification_H6_E23_palier2p14.md`
+  - sha256: `3a982e04a3da03759f9495a6a57d3ae45e9d34c27255d257c0bdc8daa9223940`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E23_palier2p14.json)| : 2
+- |covered(certificat_F9to33_E23_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E23_palier2p14.json) : 14
+- palier(certificat_F9to33_E23_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E23_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E24_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E24_palier2p14.md
new file mode 100644
index 0000000..77a85ed
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E24_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E24_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_E24_B12.json`
+  - sha256: `685860de48c130c67f1b3bd6cb93f5230d0e5ce7c31ba9db98dab36c3855b049`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_Lift_E24_palier2p14.json`
+  - sha256: `e643ff73a2a78e25a65234fc8e5c2b24e23ec49ec04916c45d9c4911f5f6de97`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/noyaux/noyau_post_D8_E24_palier2p14.json`
+  - sha256: `1a17577d3b17c949a53863a44b8d1b22adb76266c63633d0853b36f7197745f4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/candidats/candidats_D8_E24_palier2p14.csv`
+  - sha256: `f1affd480a0ad8d7ce16186e263ad8439a0d36759dc41ae7c20f03b6a6781257`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/candidats/candidats_F9to30_E24_palier2p14.csv`
+  - sha256: `9541723292c7e2ee6e06f4f92bcbdddbe1d9d93edff91aafb29032fdb87c8b61`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_D8_E24_palier2p14.json`
+  - sha256: `c5054302dc7dbdbe5b725ac6b54f7ebf6d73e845f65a4a5b45ca36829dad5887`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/certificats/certificat_F9to30_E24_palier2p14.json`
+  - sha256: `d0315ffe39a6e512f015221b4634cce07a79cb286d884c2d81e20d08e4facbb3`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14/audits/verification_H6_E24_palier2p14.md`
+  - sha256: `9100d610044409dada3570bff4f371b0bf76640e9fd02fc5360e9d2308ffd4b7`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E24_palier2p14.json)| : 2
+- |covered(certificat_F9to30_E24_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E24_palier2p14.json) : 14
+- palier(certificat_F9to30_E24_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E24_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E25_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E25_palier2p14.md
new file mode 100644
index 0000000..4ea0031
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E25_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E25_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_E25_B12.json`
+  - sha256: `e204cfc8876f55f4f4d5486b9a5814651d16c2f725d2c10dd09929e0dda93f15`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_Lift_E25_palier2p14.json`
+  - sha256: `05b26c5c47a692c3eb33bee2d234f4eb196e2fbceb1b2672f7b56e3bb11538eb`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/noyaux/noyau_post_D8_E25_palier2p14.json`
+  - sha256: `4f390a671f896ac13a3797e6148d852a3afcd5586bfb725e196f5cf093d27de2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/candidats/candidats_D8_E25_palier2p14.csv`
+  - sha256: `52b344aa6d29a301d8f1149f58435cbe19c82d05c7d7c4042f1239d5bcf4078e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/candidats/candidats_F9to51_E25_palier2p14.csv`
+  - sha256: `7912dbd1a61f0ea1b05b6cb70d415d0e6d5717503ab3e6a0a6179e53c775c108`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_D8_E25_palier2p14.json`
+  - sha256: `f631ca80a2379329f468166d55cc929e9a66e79852ebfbb4e0c796f641f7232f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/certificats/certificat_F9to51_E25_palier2p14.json`
+  - sha256: `fbc472302af66f324361387016dee9fc766220cae1192418bfdf1d8cc83ad99d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14/audits/verification_H6_E25_palier2p14.md`
+  - sha256: `93fb50fa456eabf3fab37ca971219e8e911ab32b4350812b34d97f382a666fef`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E25_palier2p14.json)| : 2
+- |covered(certificat_F9to51_E25_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E25_palier2p14.json) : 14
+- palier(certificat_F9to51_E25_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E25_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E26_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E26_palier2p14.md
new file mode 100644
index 0000000..146f0c5
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E26_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E26_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_E26_B12.json`
+  - sha256: `310593d035924cd9853d33484ee1c0212a2b9ea813efe4e8ec68a9529e5a2b20`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_Lift_E26_palier2p14.json`
+  - sha256: `6f134cadc9914fad9ee358680f7aa66ed81f8fda03240bae401ce7f5bc2f6b01`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/noyaux/noyau_post_D8_E26_palier2p14.json`
+  - sha256: `c5b0b4520faa2089810780267aca7e0746d7c4a6dd3844d1def18e85f13fc056`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/candidats/candidats_D8_E26_palier2p14.csv`
+  - sha256: `3098bfe341af9f672f94abbd689f94e08fd437f393da14176b45a504e451d428`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/candidats/candidats_F9to27_E26_palier2p14.csv`
+  - sha256: `7bf110a3b4743112b7dd627a9052c53c770a5473e46c908751179e5a93256a3c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_D8_E26_palier2p14.json`
+  - sha256: `8576b9cad0f8730e271af40ddc871a543f317e7858ec18697e0265c5c8e43f94`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/certificats/certificat_F9to27_E26_palier2p14.json`
+  - sha256: `752d47981be69f47a2ed27c84e0d6eb1666f739b1d0c3d795800cc12d5b1ef24`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14/audits/verification_H6_E26_palier2p14.md`
+  - sha256: `f7c99e5de6196fdd42bbb22d0f18e5062561b7c0194118563a46e36f22ba23bd`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E26_palier2p14.json)| : 2
+- |covered(certificat_F9to27_E26_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E26_palier2p14.json) : 14
+- palier(certificat_F9to27_E26_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E26_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E27_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E27_palier2p14.md
new file mode 100644
index 0000000..d9973ba
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E27_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E27_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_E27_B12.json`
+  - sha256: `f9b31677d6ebab61db446cbbe7c04ed82c3f4aac9961591102031612df9e8c90`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_Lift_E27_palier2p14.json`
+  - sha256: `7138c58ff72ba948443567a9e89ac0785df13b30c5f2bdab7989221b5d4e441c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/noyaux/noyau_post_D8_E27_palier2p14.json`
+  - sha256: `166c2d3902e78c1398d86f3cb31f2c1864d96b2aefe6b450c9f4dd2da7116590`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/candidats/candidats_D8_E27_palier2p14.csv`
+  - sha256: `69e513ab1954b6ee6f077a58b00ed8250e337c73e3eac7ba3f405b2c81f7d991`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/candidats/candidats_F9to17_E27_palier2p14.csv`
+  - sha256: `7dcddb3fbea0756dc82c2f887c3125ec1f261b9dc81e626c1ed930caf04ffc83`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_D8_E27_palier2p14.json`
+  - sha256: `d7c7098939050c0742ea1b6882798f5b3e13e4b94308663298b4d7fd48c534b2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/certificats/certificat_F9to17_E27_palier2p14.json`
+  - sha256: `51770625394ef335bef1867bf19ad5f6ff0ec959a26aaac337b6983b49ba85d6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14/audits/verification_H6_E27_palier2p14.md`
+  - sha256: `5a71539b405abe6fb6cb39d0775a8639d8c4f8c34a157e6e6eb58119cdc6271f`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E27_palier2p14.json)| : 2
+- |covered(certificat_F9to17_E27_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E27_palier2p14.json) : 14
+- palier(certificat_F9to17_E27_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E27_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E28_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E28_palier2p14.md
new file mode 100644
index 0000000..448d879
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E28_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E28_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_E28_B12.json`
+  - sha256: `f754f62ca157f29edbaf9c96ee2e6afdc1b02411fc14443cef55cc5157255211`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_Lift_E28_palier2p14.json`
+  - sha256: `2a5b562537ae423c023850d272be303bb54c4925e5c2f793b112771f4f9d1da0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/noyaux/noyau_post_D8_E28_palier2p14.json`
+  - sha256: `df689a9efc7735acf72099cf6e3a353b4491ada5466764734119c2c8aaa27210`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/candidats/candidats_D8_E28_palier2p14.csv`
+  - sha256: `0bdbbedf9ecafa97e8695a3f550b318e8965405bcb1ce094c590a4bd37af1e56`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/candidats/candidats_F9to50_E28_palier2p14.csv`
+  - sha256: `1ad29c14938bc8e88abc82a629730d276e514fef0e03208f6e2c5db640d8674f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_D8_E28_palier2p14.json`
+  - sha256: `eb8396169059274b8451c2452df0ab7b01ec81fbf8c53fe4aa31ea4c4b6c228b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/certificats/certificat_F9to50_E28_palier2p14.json`
+  - sha256: `56e75e33b74a6d470154d1b246fa9d6a9fe7e98598941c8cee8dc8f172f68ae0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14/audits/verification_H6_E28_palier2p14.md`
+  - sha256: `add545ebd267596d2f60c215806cdd060e51b49ce21962ebd6062a5f8e077033`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E28_palier2p14.json)| : 2
+- |covered(certificat_F9to50_E28_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E28_palier2p14.json) : 14
+- palier(certificat_F9to50_E28_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E28_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E29_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E29_palier2p14.md
new file mode 100644
index 0000000..ce7913d
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E29_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E29_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_E29_B12.json`
+  - sha256: `5576960f17a4278bdf408ebc57dbb1350df3955dd304ef9a6e59892c9593b385`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_Lift_E29_palier2p14.json`
+  - sha256: `16c0e75e956b23c2e12741e475fec60a735b3d553f9e07a4a9eeaddb801df46a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/noyaux/noyau_post_D8_E29_palier2p14.json`
+  - sha256: `3e52366d50f59c0b38dfeb542c74a75b505392e7ec5148fbe4bf7a7cc3400337`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_D8_E29_palier2p14.csv`
+  - sha256: `08573ddb8375d522fdc8efcc6ee044bf2e3bceca02c022ca2edc8885cb1d8845`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/candidats/candidats_F9to16_E29_palier2p14.csv`
+  - sha256: `474e60d958654d1e39b5bca785d2d15211dc0474350812aa301295a7df9539f7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_D8_E29_palier2p14.json`
+  - sha256: `440ba829f906070b0cd3c9f5c77db1d703737712deb481fb3f9d08f2c560989e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/certificats/certificat_F9to16_E29_palier2p14.json`
+  - sha256: `d18082a4d07f66a815e01aa7b0834dc3daed4590de50176ed4cf205f3eb05d47`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14/audits/verification_H6_E29_palier2p14.md`
+  - sha256: `e359ac22c73af05d9d63fd013181a4af9fc0c9370e225650913f0955ddda9bbf`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E29_palier2p14.json)| : 2
+- |covered(certificat_F9to16_E29_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E29_palier2p14.json) : 14
+- palier(certificat_F9to16_E29_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E29_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E2_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E2_palier2p14.md
new file mode 100644
index 0000000..526d429
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E2_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E2_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_E2_B12.json`
+  - sha256: `51bdce83b8eb3fe9971b1fff4ba81788e7eb00d8a6548d8cd87b16f42c5fd313`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_Lift_E2_palier2p14.json`
+  - sha256: `4edbdbd22c2b5180ca67979d3e1615966d880b490b733ff4295c9b007b2ebc25`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/noyaux/noyau_post_D8_E2_palier2p14.json`
+  - sha256: `9b228a82221c05cd09f097a6a1d31a7eac08f62e5b7e8c8cbecf78790509fa2f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_D8_E2_palier2p14.csv`
+  - sha256: `1a94ec0470352789560ceabd263b48447e0346a607f0c82bf3f53ed2dc1c4fcc`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/candidats/candidats_F9to42_E2_palier2p14.csv`
+  - sha256: `a39075bd56dc8d891b588838ac9178408842f2be960f7f1f30a872a893e31162`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_D8_E2_palier2p14.json`
+  - sha256: `983a8a672ac40e3b45178a72db37617d39a58930fa2ed8f3232f266d36509b5f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/certificats/certificat_F9to42_E2_palier2p14.json`
+  - sha256: `ab07bfa251e01f2a816c042a99ecc646abb3ebc6d2689ff9fcf5adf8711935e5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14/audits/verification_H6_E2_palier2p14.md`
+  - sha256: `6542af23c81f3a5e4ccde8ee83d3e2e2ce987878fcf032700c5961e5238a6928`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 8
+- palier cible : 14
+- |Lift| : 32
+- |covered(certificat_D8_E2_palier2p14.json)| : 2
+- |covered(certificat_F9to42_E2_palier2p14.json)| : 30
+- |covered(∪ certificats)| : 32
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E2_palier2p14.json) : 14
+- palier(certificat_F9to42_E2_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E2_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E30_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E30_palier2p14.md
new file mode 100644
index 0000000..c594715
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E30_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E30_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_E30_B12.json`
+  - sha256: `dfd79dd1994fcb5a102dd810cdb44aa161e65547c31c68ac9d3a9fe394abddfa`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_Lift_E30_palier2p14.json`
+  - sha256: `9d321b8402d13a8ba18bd3c05508f48f1063c25bf692f455a5db6bcea1b7c9c7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/noyaux/noyau_post_D8_E30_palier2p14.json`
+  - sha256: `c6ee541dae0416fd31827cdc0ffb4b6ecbc4e4e65374f55d931eb082f8a075f2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_D8_E30_palier2p14.csv`
+  - sha256: `584cbb488514d47a4e9afbfbfe9db6c2e6dd3003ad5c17863bb07c1e1d0d3974`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/candidats/candidats_F9to14_E30_palier2p14.csv`
+  - sha256: `a7ea82024ceff80b862581c313ea27d28d050cb4e1fa7ec8c0fdbca6a109c3ca`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_D8_E30_palier2p14.json`
+  - sha256: `27901b637b02784f370569c09781c9e85191ea0936105406e0b3355735b291b9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/certificats/certificat_F9to14_E30_palier2p14.json`
+  - sha256: `cd98b9ef09a2ad372d19842a3c6dde24667fb1ef2b7c0b472a207bc9fc0e167b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14/audits/verification_H6_E30_palier2p14.md`
+  - sha256: `581841797d0bf7079e0d2dea14ada1fcc6777be263c45640ea2e939a39a83923`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E30_palier2p14.json)| : 2
+- |covered(certificat_F9to14_E30_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E30_palier2p14.json) : 14
+- palier(certificat_F9to14_E30_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E30_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E31_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E31_palier2p14.md
new file mode 100644
index 0000000..88c5dc8
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E31_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E31_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_E31_B12.json`
+  - sha256: `a383a5be85212d8c2c0c7cff59cf49e0a0f188f552c2e8cb511660e972c9fe17`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_Lift_E31_palier2p14.json`
+  - sha256: `e72d0522f92cf3914bec5691104525d15fedd355bd7b2915dc1f1e744fccc9b9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/noyaux/noyau_post_D8_E31_palier2p14.json`
+  - sha256: `4550217870ff39f0856bba3d917edb65783cc588ccab8c010b676d107dd5cdb0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/candidats/candidats_D8_E31_palier2p14.csv`
+  - sha256: `34bbb24dbdcf61984a2f1af34f20107ea347451b25357137a22fb92596730b15`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/candidats/candidats_F9to35_E31_palier2p14.csv`
+  - sha256: `bf30bc591baf715e9e7bbb418fe94ebe480500331e00a2f187b684ae9696c341`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_D8_E31_palier2p14.json`
+  - sha256: `cfc7f304fb0e67548be7c0254dca693ddb6b742456d6ffbe3aff8ca164d5779a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/certificats/certificat_F9to35_E31_palier2p14.json`
+  - sha256: `e476c534693ed4c72095e359e1df62bdfa564e6040debe48120f7ae495bad4bb`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14/audits/verification_H6_E31_palier2p14.md`
+  - sha256: `0c36a8a24319e5094178a007053ba480b5b118870a22e90c6e0ce040c7bc3f4e`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E31_palier2p14.json)| : 2
+- |covered(certificat_F9to35_E31_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E31_palier2p14.json) : 14
+- palier(certificat_F9to35_E31_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E31_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E32_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E32_palier2p14.md
new file mode 100644
index 0000000..3cc5b6e
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E32_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E32_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_E32_B12.json`
+  - sha256: `bd2e421ade702717521aff71c851c775790dea6a5cb38ea9e4eab26a60a4d7e2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_Lift_E32_palier2p14.json`
+  - sha256: `e26d23f3814bf77389a41683d98c53652c5e51d43bd34ad1b552355c875a3dce`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/noyaux/noyau_post_D8_E32_palier2p14.json`
+  - sha256: `e7295f44d9ba0ea16c9277d758f0aa8c7a887843fb88fccb4a09ed7a6ad29212`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/candidats/candidats_D8_E32_palier2p14.csv`
+  - sha256: `cf5ce7790fe599ea4f2b7a5dfdd0192c17f8a7dce4ade37574d2672f393803f5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/candidats/candidats_F9to36_E32_palier2p14.csv`
+  - sha256: `61aca27a8beeccbf80236513c88d8fca035c260f17269baabb163527fc72262c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_D8_E32_palier2p14.json`
+  - sha256: `4b7c60419fbf13c365132e82d9774baaf495d24a2ee1227dda4703699f903b73`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/certificats/certificat_F9to36_E32_palier2p14.json`
+  - sha256: `a1c923a455d009dc24184423425cf2c6a8cf0437eb78862d41ec7d8f672cc00c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14/audits/verification_H6_E32_palier2p14.md`
+  - sha256: `19d8023681c8c90cd482d488ad8da5789357d5484132140b1ef7499731d3d749`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E32_palier2p14.json)| : 2
+- |covered(certificat_F9to36_E32_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E32_palier2p14.json) : 14
+- palier(certificat_F9to36_E32_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E32_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E33_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E33_palier2p14.md
new file mode 100644
index 0000000..838ccbf
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E33_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E33_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_E33_B12.json`
+  - sha256: `b6011470983852b22991080b9e8596aa66eba2f199d44ca79c7d4073ad7710d8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_Lift_E33_palier2p14.json`
+  - sha256: `e85d1efa34cd70e71b521b65d36652c1e10a43e00bd4834845f3592afff976c8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/noyaux/noyau_post_D8_E33_palier2p14.json`
+  - sha256: `79745ddb3b2a58b2afb6d9f32c53b362958a0aa96bfe77b83d4a0636ea5b9506`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/candidats/candidats_D8_E33_palier2p14.csv`
+  - sha256: `0fd73dc030c2b24e9777d56e6835d0dc731722b9ec8ef4f715dbf6cca4ed3cde`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/candidats/candidats_F9to18_E33_palier2p14.csv`
+  - sha256: `a81d885ab0e040fb2963a2e8ab00d02684b4eb2a0caa8f4d8a17f53e63a28572`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_D8_E33_palier2p14.json`
+  - sha256: `102b156445f913c2174784df3473f4f8bfc812f14a08b4d1afbea20821b0d7da`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/certificats/certificat_F9to18_E33_palier2p14.json`
+  - sha256: `bb960573527f3e1f630d99921f1c09a08e5e7238abcd66e00fdaec0bb9a5abaa`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14/audits/verification_H6_E33_palier2p14.md`
+  - sha256: `a4d95de77b535b49c04eb9bd3956cc730235c7a42cb13c9cc2e482be0999bd52`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E33_palier2p14.json)| : 2
+- |covered(certificat_F9to18_E33_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E33_palier2p14.json) : 14
+- palier(certificat_F9to18_E33_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E33_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E34_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E34_palier2p14.md
new file mode 100644
index 0000000..550da6c
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E34_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E34_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_E34_B12.json`
+  - sha256: `495b791e853dd82585f0c8b93c1253f6efba9662f07590bd1bd0b861bdd5f959`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_Lift_E34_palier2p14.json`
+  - sha256: `d5b56a0b849bd4ccdae8381f2950260c91979ab943ef462ab1502cf9482632a7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/noyaux/noyau_post_D8_E34_palier2p14.json`
+  - sha256: `646fcf0d41ebcfa1590a64a6508a25450530bca35f1ea5327c4f466f8541cd58`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/candidats/candidats_D8_E34_palier2p14.csv`
+  - sha256: `e77484563a8c863acaed1f6fd51e4cc7eb48ecb15dc561cca4535fa91d7a2f68`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/candidats/candidats_F9to18_E34_palier2p14.csv`
+  - sha256: `916fd37b9a7a573aa7c4111e033803e3b81969e28388c5859f8c4aad008e7f8b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_D8_E34_palier2p14.json`
+  - sha256: `b4dfe03f744b1228def845c80452a511f658d7280764862b74264dff103bfeb6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/certificats/certificat_F9to18_E34_palier2p14.json`
+  - sha256: `36c4e2217695d48e9250e8b83815e71be3b0206c67f4d603063c3c7dde380ee4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14/audits/verification_H6_E34_palier2p14.md`
+  - sha256: `5c9e6ea70e7c96e8b732e7a02b1a8f307fa216b9f1d16ec13c1082f2d81bb9f7`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E34_palier2p14.json)| : 2
+- |covered(certificat_F9to18_E34_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E34_palier2p14.json) : 14
+- palier(certificat_F9to18_E34_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E34_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E35_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E35_palier2p14.md
new file mode 100644
index 0000000..6a343c8
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E35_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E35_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_E35_B12.json`
+  - sha256: `6ede1b65123eee38db8cd63898fd1bddf007da7f32eba587f8d791cba7143e3d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_Lift_E35_palier2p14.json`
+  - sha256: `a973c187703343d6a98029ccf47fcb23b87ca753a0639c18dda01e2a6bcf2381`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/noyaux/noyau_post_D8_E35_palier2p14.json`
+  - sha256: `d6ce959b83fc00e9030382442cee28cf370dbce18990d4d00447afc6c70a6d8f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/candidats/candidats_D8_E35_palier2p14.csv`
+  - sha256: `9ae56fab0d33437f3f75976971afb19b0cf2fa523610f7374109e92fc42f6236`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/candidats/candidats_F9to34_E35_palier2p14.csv`
+  - sha256: `7d877faa8d579b1ae08863396f9b441ddf4e32f6d0b77b34595fd2074d35b3af`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_D8_E35_palier2p14.json`
+  - sha256: `2323e83d37aca093cf10d7d27af2286b1999056325ef9f993099b8edba5770df`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/certificats/certificat_F9to34_E35_palier2p14.json`
+  - sha256: `bd88300128b68f39bd9941b01027ba91e47a1dadf8c130333d5ee9c87547de26`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14/audits/verification_H6_E35_palier2p14.md`
+  - sha256: `9b0b7b678c13837f0c6f10534f6108d9624e67260b28b0796e027ff906d8f3fd`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E35_palier2p14.json)| : 2
+- |covered(certificat_F9to34_E35_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E35_palier2p14.json) : 14
+- palier(certificat_F9to34_E35_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E35_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E36_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E36_palier2p14.md
new file mode 100644
index 0000000..b7dc70c
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E36_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E36_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_E36_B12.json`
+  - sha256: `6b7f30e6776248858a1b629f57d37acdfaabb46a72d579ea26586876b8b08bce`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_Lift_E36_palier2p14.json`
+  - sha256: `59724192bed974d32c0f5c475baa516494d2b79209bc808fc5408836439f12f7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/noyaux/noyau_post_D8_E36_palier2p14.json`
+  - sha256: `b6d1d41b7313f8c9b6f693946c5b5e9c06f9e8a803a08321e335baf51b9692d8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/candidats/candidats_D8_E36_palier2p14.csv`
+  - sha256: `383b81d54807fff89f63653728ce7736099117a535f032fbfdd8b9100a529749`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/candidats/candidats_F9to13_E36_palier2p14.csv`
+  - sha256: `5f4d70bc834fc654f2522b6eff49460caad7344ae6d7703cf88a3e030c7fc9f9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_D8_E36_palier2p14.json`
+  - sha256: `32732eb7ff73ca74fd26cd0dc2f3dc439948d60775595f7221e9b5c00b4096d4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/certificats/certificat_F9to13_E36_palier2p14.json`
+  - sha256: `82f544d5c3a782d743e6b4ad3fd28ca2c4d29c5dbeb7660b197a7a4c54c4f5d0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14/audits/verification_H6_E36_palier2p14.md`
+  - sha256: `f842a8bd2f43ec2b87cb7f719da0f2030dc28518208ed9a8ef289ff652619a6d`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E36_palier2p14.json)| : 2
+- |covered(certificat_F9to13_E36_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E36_palier2p14.json) : 14
+- palier(certificat_F9to13_E36_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E36_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E37_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E37_palier2p14.md
new file mode 100644
index 0000000..db04e12
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E37_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E37_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_E37_B12.json`
+  - sha256: `dcf6c97461fc7b76c1fd0ab7300beef7b70cb0a0bbe9c3302d6a7d2dc2ca0ad1`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_Lift_E37_palier2p14.json`
+  - sha256: `4a4b7f9a9530bb3007c80dc41aa3cfbccb2a832d323a3500f8605979e3831434`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/noyaux/noyau_post_D8_E37_palier2p14.json`
+  - sha256: `39ffafc613d8f5b20008e6974dc81f601f1061d79ce38d520b70a800cdb69941`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_D8_E37_palier2p14.csv`
+  - sha256: `cb958341b8e35a5ca2df87aa70e9c4e2c2c956ab2aac3d0d1755d50869c00006`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/candidats/candidats_F9to23_E37_palier2p14.csv`
+  - sha256: `ad5e022306b1fa550f50f7d48e0e536c01fa328676a85e6b5df48f2b424e4872`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_D8_E37_palier2p14.json`
+  - sha256: `39a7982d648e330b5be7fd4d73f74c4f5665782f39c3577858a5cce7eb102b36`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/certificats/certificat_F9to23_E37_palier2p14.json`
+  - sha256: `09986ee26b47a0e771d94fac34975b9b8961c967b6603b835cf2b667cf4c6bd4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14/audits/verification_H6_E37_palier2p14.md`
+  - sha256: `4e259964b469316ae7bdc43e7571cca90aeaa794e2466502c9ed5048356b3cab`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E37_palier2p14.json)| : 2
+- |covered(certificat_F9to23_E37_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E37_palier2p14.json) : 14
+- palier(certificat_F9to23_E37_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E37_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E38_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E38_palier2p14.md
new file mode 100644
index 0000000..613fceb
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E38_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E38_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_E38_B12.json`
+  - sha256: `83ba5b7f675abcc466f598d76fa8c5b5445bb86e826db55971a85a76e7a81b71`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_Lift_E38_palier2p14.json`
+  - sha256: `195dd0babb287ea4407e7cf117c3eaeea954e07b32cff7201d60746d963415d9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/noyaux/noyau_post_D8_E38_palier2p14.json`
+  - sha256: `290f58a592dfcdfc641379eab954d0571f1057f50ee28747d4991dfda73f053e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/candidats/candidats_D8_E38_palier2p14.csv`
+  - sha256: `fa445ae3c2f88e09f0b9f677a348172183a55b3c1e5c2aef7822bb1221d2aaf0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/candidats/candidats_F9to19_E38_palier2p14.csv`
+  - sha256: `518074106b860a004ace9ff98dcb4fa155c0d1a58b57dc4935aeb290f931d499`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_D8_E38_palier2p14.json`
+  - sha256: `2a58114617d6cc3d37414904d0a413967ab4aa7ad5a983613885acbd9a5619a7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/certificats/certificat_F9to19_E38_palier2p14.json`
+  - sha256: `595449e022e19f7d15544fcc1f5285c3287a959dce7a904c5565c78667a190af`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14/audits/verification_H6_E38_palier2p14.md`
+  - sha256: `f9dea30c7977ed5ac7376cb501eac2799bedb635793a7762f74dcfa1aeae46b5`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E38_palier2p14.json)| : 2
+- |covered(certificat_F9to19_E38_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E38_palier2p14.json) : 14
+- palier(certificat_F9to19_E38_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E38_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E39_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E39_palier2p14.md
new file mode 100644
index 0000000..ef0f904
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E39_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E39_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_E39_B12.json`
+  - sha256: `4edc473b332c680118bb4d153bdf46a4f24b5bfad87f64e798363982afcb3ee7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_Lift_E39_palier2p14.json`
+  - sha256: `26c962005a849dd73dfd45c8425dad9ad00bd6123861055073248f09eddf1ef2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/noyaux/noyau_post_D8_E39_palier2p14.json`
+  - sha256: `580c5a0ae30fd940f531fefb2698f2e7aa826266199c06b76f0b1caba52a1791`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/candidats/candidats_D8_E39_palier2p14.csv`
+  - sha256: `27ae6959dba9eca0f97430a6470e490f79f52d12009dcd37b9e8e076b861f3ab`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/candidats/candidats_F9to35_E39_palier2p14.csv`
+  - sha256: `851b942c4332d9f6ee6d4bac0c76a55c0a2f8e100bdaba7ea4a102878630d1d1`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_D8_E39_palier2p14.json`
+  - sha256: `97c3996684530002a8484a6c8a064b9260bf78bb932542384f396bf34dc89f5a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/certificats/certificat_F9to35_E39_palier2p14.json`
+  - sha256: `068a946503428d1868540823ea48255dc1d9c0b2bf89117d77f90ca8803bb4e1`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14/audits/verification_H6_E39_palier2p14.md`
+  - sha256: `cf33ed671ea2a753c25550181876c234ad3aea74b93fd0db91e8d952edb0814d`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E39_palier2p14.json)| : 2
+- |covered(certificat_F9to35_E39_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E39_palier2p14.json) : 14
+- palier(certificat_F9to35_E39_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E39_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E3_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E3_palier2p14.md
new file mode 100644
index 0000000..2375ef9
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E3_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E3_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_E3_B12.json`
+  - sha256: `5ed53df8a2bf0bb70db6dd78c351e84f9c73a146e700fb204b63fe8aee937145`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_Lift_E3_palier2p14.json`
+  - sha256: `99d5b8cceeb725e1eba619c302115e52cebe4b9a32393a33071d37252c810919`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/noyaux/noyau_post_D8_E3_palier2p14.json`
+  - sha256: `90211a344c3d657049845fdf8288991a07fd3193fb6fd2fc4d7e18894959c922`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_D8_E3_palier2p14.csv`
+  - sha256: `5cc2bbeec27aec449a236fae1d18174096f6c91adec8d8b9860356e2fefd654b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/candidats/candidats_F9to35_E3_palier2p14.csv`
+  - sha256: `82fd382aa2bb88e2d2020e9a1bea840f34656ded2985ef898f0b5c313f63da1a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_D8_E3_palier2p14.json`
+  - sha256: `c2504057aaaec04dd6abb15e04c9fd3da682d3dc6cd74bc1e5de61cd8ee07470`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/certificats/certificat_F9to35_E3_palier2p14.json`
+  - sha256: `c75d79cb3d944dfc814e964fc732b9450f83a21c7a6e38568c8c0196df61e0a3`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14/audits/verification_H6_E3_palier2p14.md`
+  - sha256: `c3228fd83bbe2da8ad11a0e001c92933b6098b769f86e2c5e6badca34a0e2493`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 8
+- palier cible : 14
+- |Lift| : 32
+- |covered(certificat_D8_E3_palier2p14.json)| : 2
+- |covered(certificat_F9to35_E3_palier2p14.json)| : 30
+- |covered(∪ certificats)| : 32
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E3_palier2p14.json) : 14
+- palier(certificat_F9to35_E3_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E3_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E40_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E40_palier2p14.md
new file mode 100644
index 0000000..b85ad12
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E40_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E40_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_E40_B12.json`
+  - sha256: `96c6ba41551e8ed6c7aaa98b28409b50aa8c2c3c660c8ec1281355d5649daf97`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_Lift_E40_palier2p14.json`
+  - sha256: `10ce0d03d10fffceb5ef766d465002cbef822f41e9b29b8f3892d7b0704160a5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/noyaux/noyau_post_D8_E40_palier2p14.json`
+  - sha256: `b69899ddc54c0730d961093109caaaef7759dbf258617aff2672c2170092fcba`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/candidats/candidats_D8_E40_palier2p14.csv`
+  - sha256: `d8012761f4152f57e4ddfa7e62b777f5091e1930eb720a6842c1f6986103b525`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/candidats/candidats_F9to16_E40_palier2p14.csv`
+  - sha256: `f377811c449b5d816cd6109ba9c64b96b9baf25ce0295e0d134c27d03326ee9f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_D8_E40_palier2p14.json`
+  - sha256: `081580d2027b24321e8779ca958cae6c816e228657e89690deb32325686f4fd6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/certificats/certificat_F9to16_E40_palier2p14.json`
+  - sha256: `fda178f0b7d74ea95b98478cced8b33272d3a6e5297ed87de242fece3a2d3d63`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14/audits/verification_H6_E40_palier2p14.md`
+  - sha256: `f11f3bb301aa95dbda427084054bd449ba7cb623afe5066f53ec86419536646a`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E40_palier2p14.json)| : 2
+- |covered(certificat_F9to16_E40_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E40_palier2p14.json) : 14
+- palier(certificat_F9to16_E40_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E40_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E41_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E41_palier2p14.md
new file mode 100644
index 0000000..ed87c01
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E41_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E41_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_E41_B12.json`
+  - sha256: `76dfb134e1fed5de2217d10e3e47f902883154465dadcce626078c455ab84817`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_Lift_E41_palier2p14.json`
+  - sha256: `32f30a35bc3530bc406f7870fbba92220dc9a5e5e9ba19761e0ddddd6d98ff90`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/noyaux/noyau_post_D8_E41_palier2p14.json`
+  - sha256: `21a11a3ca47389bcaf74355e32732767f9d1c78731d4b1d976eb0d2ec670968d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/candidats/candidats_D8_E41_palier2p14.csv`
+  - sha256: `7dc9e1f580662850b49f0902c0092132a8a182e64e2f7f4116254f0d04b3879c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/candidats/candidats_F9to14_E41_palier2p14.csv`
+  - sha256: `7e74e0a8cd082b75b1ce33cd7fa4e877b46a2426c0fb09598bc30ba1568d8ea4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_D8_E41_palier2p14.json`
+  - sha256: `cfa0dd467e0245a058d7a129d07fdda3b79e2a726571e7c35eb1dc9e5fd236ee`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/certificats/certificat_F9to14_E41_palier2p14.json`
+  - sha256: `de0b71691c9d22fb61dc5d80bb272e324e6d882909bf0c26deb69434df347149`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14/audits/verification_H6_E41_palier2p14.md`
+  - sha256: `12298fcd66dc883fb1ea05637e4de7d1694a8bad6b1b116d62777ec4d26d0bf8`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E41_palier2p14.json)| : 2
+- |covered(certificat_F9to14_E41_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E41_palier2p14.json) : 14
+- palier(certificat_F9to14_E41_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E41_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E42_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E42_palier2p14.md
new file mode 100644
index 0000000..a2f24b1
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E42_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E42_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_E42_B12.json`
+  - sha256: `bae4d80a65a094a6d63d60da8b866fc741c5e6379f6bd21e180deaf31858448a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_Lift_E42_palier2p14.json`
+  - sha256: `c1b8476fb46f3f829c95dc1e585ff4caf00638e9747500983e4c8cdc128ad688`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/noyaux/noyau_post_D8_E42_palier2p14.json`
+  - sha256: `9e3d50970380cb032229d24afc325950c2bcc617c05957a432116ca081af7393`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/candidats/candidats_D8_E42_palier2p14.csv`
+  - sha256: `30a36cf4eec1b71f7dcca238990d70d21e065a83129519107f929ebe1e5d5268`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/candidats/candidats_F9to33_E42_palier2p14.csv`
+  - sha256: `f8e2205736bd662381dcbc1d9c901fa3a2fed66a41cfaa783b5ca414985db0fe`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_D8_E42_palier2p14.json`
+  - sha256: `3c4b6757ac6f690e4061a4ca5e3d5076051a7c53619f2184fb08e851d7dc6870`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/certificats/certificat_F9to33_E42_palier2p14.json`
+  - sha256: `92a03c8baf438d1d0bea6c3bf3957e9fe4d1d26cef9d3cf0a4c3ea89debb7f1b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14/audits/verification_H6_E42_palier2p14.md`
+  - sha256: `eaae9b885094bc35f6d2fcae04b375dd1985105f22b182e0cb6e5e2f42dc34ec`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E42_palier2p14.json)| : 2
+- |covered(certificat_F9to33_E42_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E42_palier2p14.json) : 14
+- palier(certificat_F9to33_E42_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E42_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E43_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E43_palier2p14.md
new file mode 100644
index 0000000..7f05bd2
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E43_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E43_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_E43_B12.json`
+  - sha256: `18bc60bb55622e9c85f9d40135f83979a6706b45c53376f6afce717266251c4e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_Lift_E43_palier2p14.json`
+  - sha256: `1f2579648891ea041fbed5d2a39496123ba8cde23a39b815f4bb7bb6c0eda05a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/noyaux/noyau_post_D8_E43_palier2p14.json`
+  - sha256: `1fabf38c3f438e81fb5cfe3c13f9d8a148e290954cf942875d0ae0a8ab34b9f4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/candidats/candidats_D8_E43_palier2p14.csv`
+  - sha256: `bbb404a48849c9cfed9417125a41873fa80e088e9121d647ee327b71270f021b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/candidats/candidats_F9to21_E43_palier2p14.csv`
+  - sha256: `91d724392108c43fb17f539080a345b374c078306f2df8251ec050a146dd4d62`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_D8_E43_palier2p14.json`
+  - sha256: `f3d0f8b96fe5bdce59614612bb069b82219e0da942f547e5d2c14bae4f7a4f12`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/certificats/certificat_F9to21_E43_palier2p14.json`
+  - sha256: `b1c1a0fe6336ac7a5b382a9da1b734aa7a25baa5c75165fbae4d5bf36f16b722`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14/audits/verification_H6_E43_palier2p14.md`
+  - sha256: `ce960737aa84ba49469081de64c4f245c37877b85c6c1b677a1614280d899da4`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E43_palier2p14.json)| : 2
+- |covered(certificat_F9to21_E43_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E43_palier2p14.json) : 14
+- palier(certificat_F9to21_E43_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E43_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E44_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E44_palier2p14.md
new file mode 100644
index 0000000..a00ca04
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E44_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E44_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_E44_B12.json`
+  - sha256: `afbb61e419971462a887f03b92ebc952ba5fff3de281ba364563e10649b1f9ac`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_Lift_E44_palier2p14.json`
+  - sha256: `7d1a7033059e02fab4e1f546d87b01a60a398320da2b7af1168074d63416c195`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/noyaux/noyau_post_D8_E44_palier2p14.json`
+  - sha256: `17b2bff7cfddbd8fc44ae879008ab7407f7f8a1a02c1134f03c8e11cdcf7a613`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/candidats/candidats_D8_E44_palier2p14.csv`
+  - sha256: `081cff8cb2a52bcc3303a3012b80a14532388d75bb689a230de05cffc287b591`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/candidats/candidats_F9to25_E44_palier2p14.csv`
+  - sha256: `a075a84075eccb721e56f850eec94fd1437da1af7fb8e5e0991adfe178763a81`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_D8_E44_palier2p14.json`
+  - sha256: `71bc632a57d0dde61507b1ecb58a7c5fb7aad7bcdca77a5aa9938bf46df6a0a6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/certificats/certificat_F9to25_E44_palier2p14.json`
+  - sha256: `d891393afb607489a95ec054996cc2b7b19fa824ae5d7f97eee00779a81be5be`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14/audits/verification_H6_E44_palier2p14.md`
+  - sha256: `1ec2fed77c9eb806114861fd1112e7654651e5d15919e28e5a08ceb1d858b651`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E44_palier2p14.json)| : 2
+- |covered(certificat_F9to25_E44_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E44_palier2p14.json) : 14
+- palier(certificat_F9to25_E44_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E44_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E45_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E45_palier2p14.md
new file mode 100644
index 0000000..3276f63
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E45_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E45_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_E45_B12.json`
+  - sha256: `e1046ccd225ababfefb600966f62f519d35a929c1de509d5eefb778f43a75cea`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_Lift_E45_palier2p14.json`
+  - sha256: `87e90ce45add20d8e9990922e3766bbc6bb2b678a5d0405c825982913a2facc8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/noyaux/noyau_post_D8_E45_palier2p14.json`
+  - sha256: `0b41eaf8f0f6e99d213ae224fa513b3d464e093b764bcb2573b4a4e530f23e47`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/candidats/candidats_D8_E45_palier2p14.csv`
+  - sha256: `b637e4baba659ee7aaa5605d6d301c1148d0f316c175d713e52817f749df7cfb`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/candidats/candidats_F9to14_E45_palier2p14.csv`
+  - sha256: `911880115158ee639ff8408146d4d67652ddb677f24d6a11b97ec2478a31b6c8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_D8_E45_palier2p14.json`
+  - sha256: `6f78f1c042bb24c7941cd6ca4dddac1771d299b815e3e761a136e46daa831fa0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/certificats/certificat_F9to14_E45_palier2p14.json`
+  - sha256: `991aa576bdf72ad27b10f0176e750f20eb1638cffd5d7492f7b96799975e5a11`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14/audits/verification_H6_E45_palier2p14.md`
+  - sha256: `765dbae577dc0c08c67c08fe24955f3abc29f3057d74e99dc91a4cde7f924cf3`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E45_palier2p14.json)| : 2
+- |covered(certificat_F9to14_E45_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E45_palier2p14.json) : 14
+- palier(certificat_F9to14_E45_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E45_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E46_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E46_palier2p14.md
new file mode 100644
index 0000000..bd1b844
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E46_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E46_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_E46_B12.json`
+  - sha256: `677ebbfd3960ec52ef8d6b11b90ca32b203a8f38c15db0e0597d6c74d5c9b43a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_Lift_E46_palier2p14.json`
+  - sha256: `1352548408572a3f1a7b7ab4407967aa8f232fd1ce34d6333cf23fb0900e4117`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/noyaux/noyau_post_D8_E46_palier2p14.json`
+  - sha256: `05d9a9fc33b13d1e7d2ce4c315259447a1d84ce5f61257dd4c2e959581fa2357`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_D8_E46_palier2p14.csv`
+  - sha256: `82a09c4146a1dcd2afdbad760885b8aec2c35e531bf8455f010830fc5041d486`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/candidats/candidats_F9to16_E46_palier2p14.csv`
+  - sha256: `c07015dee1887a6147df5b1a9e40f932fbfbd39d17fefb52f86b4f8951ea099d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_D8_E46_palier2p14.json`
+  - sha256: `3f3b3e617b3e58be820a2f3873900d13f6fc515597d84f6f325054f53a584c7f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/certificats/certificat_F9to16_E46_palier2p14.json`
+  - sha256: `fcfdd2e0076712f2e1fd185f4043aca6a4dc41ae6d49efd98cb7a3929e62ea97`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14/audits/verification_H6_E46_palier2p14.md`
+  - sha256: `f90222b4caa9db74946ec01ba38976d05199214c01ca0b993fb81ec521e2fb2e`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E46_palier2p14.json)| : 2
+- |covered(certificat_F9to16_E46_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E46_palier2p14.json) : 14
+- palier(certificat_F9to16_E46_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E46_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E47_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E47_palier2p14.md
new file mode 100644
index 0000000..2edde38
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E47_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E47_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_E47_B12.json`
+  - sha256: `419d1bbd6cf99ca0371f70ff77a8d23e7a0266a7acf16b68f711cd15a9b457d8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_Lift_E47_palier2p14.json`
+  - sha256: `6c863872188d404eac9b041ee7cf5e653f2a1c9067f06748ac1b156aeb4667af`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/noyaux/noyau_post_D8_E47_palier2p14.json`
+  - sha256: `5609002d5effa7718437f9f8bdad2ad4c44f166861f8f20b20098c7d42a2e013`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/candidats/candidats_D8_E47_palier2p14.csv`
+  - sha256: `235dcd3a19caecdc9c2c0c5f47740fff996ca9e03c896b40f3529bb6143be052`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/candidats/candidats_F9to15_E47_palier2p14.csv`
+  - sha256: `ec3f513aa7b3591dc9ead4e7d3246665f8d20c90259cb1fb1d3d3fc97d4f0dec`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_D8_E47_palier2p14.json`
+  - sha256: `28b8d4e4df20e67daed964e34fb042d5ccbc7f126bcc8b165b523192d2efd01a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/certificats/certificat_F9to15_E47_palier2p14.json`
+  - sha256: `f2d392fc0bb6fccd485ac3232b205493f94712c6252e2b37acb8e4288f7dd1e8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14/audits/verification_H6_E47_palier2p14.md`
+  - sha256: `a95cb7f588c178c1cf0a41e33b5527e9ae5f5e5092ed04331cd024e86f47ce5f`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E47_palier2p14.json)| : 2
+- |covered(certificat_F9to15_E47_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E47_palier2p14.json) : 14
+- palier(certificat_F9to15_E47_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E47_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E48_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E48_palier2p14.md
new file mode 100644
index 0000000..10369bc
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E48_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E48_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_E48_B12.json`
+  - sha256: `6a67fd3976b43f1b94333b83199900b0933e46548b6f966aaedb2b2518949c1d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_Lift_E48_palier2p14.json`
+  - sha256: `276db20e7c04d5dff1d37d308fa1f24a8c063e6644e76a1bc3407f4958bfcac0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/noyaux/noyau_post_D8_E48_palier2p14.json`
+  - sha256: `87990ad3c997708e63166e6131a062689d4bf4abbe45571fa58909230f80909d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_D8_E48_palier2p14.csv`
+  - sha256: `120a2f15ba3cf3abeef47e78167e7a44eba9d4dae5ad1b0b24969c9d39b76aec`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/candidats/candidats_F9to34_E48_palier2p14.csv`
+  - sha256: `8d8f5e80b97ebeb06495b11cff4d1289fe32e484e595be451a90122fde40f1b5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_D8_E48_palier2p14.json`
+  - sha256: `dc06d3be1a149a9c955c4e67debf8e41caa67ba0256de7d70a2a48f78b7ed0f0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/certificats/certificat_F9to34_E48_palier2p14.json`
+  - sha256: `177e6b4e3e9ef25aea3a221b0ac2accece52c9c2b9275b72b534ef3fd633bc5f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14/audits/verification_H6_E48_palier2p14.md`
+  - sha256: `81313061d4f0e43e9d1b91591ad407640ba82d063714cae6235cf904bf0c983b`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 2
+- palier cible : 14
+- |Lift| : 8
+- |covered(certificat_D8_E48_palier2p14.json)| : 2
+- |covered(certificat_F9to34_E48_palier2p14.json)| : 6
+- |covered(∪ certificats)| : 8
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E48_palier2p14.json) : 14
+- palier(certificat_F9to34_E48_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E48_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E49_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E49_palier2p14.md
new file mode 100644
index 0000000..9c6e714
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E49_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E49_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_E49_B12.json`
+  - sha256: `d99e94074f8dc7461d34907773b25a1b69819c11aa3c911537f2d8178577f124`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_Lift_E49_palier2p14.json`
+  - sha256: `bdf61016eff75d897602f79759e7c2289d7e00a5f6948e02c92bdb9b7ed095fc`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/noyaux/noyau_post_D8_E49_palier2p14.json`
+  - sha256: `e866d8e164060051b9c421b06190fec833bc2b891cceb66aaaea08e2f3b43db7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/candidats/candidats_D8_E49_palier2p14.csv`
+  - sha256: `54c02db835c0f6544901abc3374f1b101002dda23ce9eeb2b8222c6b46f174a1`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/candidats/candidats_F9to11_E49_palier2p14.csv`
+  - sha256: `4e26531c48176784f62f0ca7bad36569a101f379000e092e730bd59e686efcf2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_D8_E49_palier2p14.json`
+  - sha256: `b45667a23c3f1fb58f15f7ef08bd7c6ac462265c98969fe9d4d9519125afa34f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/certificats/certificat_F9to11_E49_palier2p14.json`
+  - sha256: `badbd145f45b203e17141ec81a80740a60bc25fc7d3f9fd89f3f2b30a1ba92b8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14/audits/verification_H6_E49_palier2p14.md`
+  - sha256: `909b2368a3ae692f64d516627d6b37dac120b2624c467b87de48350acabb5c19`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E49_palier2p14.json)| : 2
+- |covered(certificat_F9to11_E49_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E49_palier2p14.json) : 14
+- palier(certificat_F9to11_E49_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E49_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E4_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E4_palier2p14.md
new file mode 100644
index 0000000..39877db
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E4_palier2p14.md
@@ -0,0 +1,66 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E4_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/noyaux/noyau_E4_B12.json`
+  - sha256: `518e5342a1a71dee5ccb6a6817b1e1020ae7cec49157b71887b46c7c94543d73`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/noyaux/noyau_Lift_E4_palier2p14.json`
+  - sha256: `5a72db3b25f81ab36201a82813411df07f79c8d3cb9abcb6bf929b8cb43a3862`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/noyaux/noyau_post_D8_E4_palier2p14.json`
+  - sha256: `84ef52f998907de6a2a7fb47682e5ecef44da97d8a7b5f799cbf4bb55db1e277`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/candidats/candidats_D8_E4_palier2p14.csv`
+  - sha256: `ba5a1aa7868e7c174c8c912263567cec73c4b907275ca431c3d6a5ddcaefa7e9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/candidats/candidats_F9to40_E4_palier2p14.csv`
+  - sha256: `cabdc6cd3d7dfd8ddf410fe01a1caa69c67edb4b990ea45190bb76e800226707`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/candidats/candidats_F9to44_E4_palier2p14.csv`
+  - sha256: `66a90ebb95f8c6a4877ac379598458691fe543bc2f76996dad0476480021469b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_D8_E4_palier2p14.json`
+  - sha256: `6062a114f0acafb5845bd673455f06f3cbb7910116d60d5380181c3485c0b309`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_F9to40_E4_palier2p14.json`
+  - sha256: `da1ca73127b5574ec11fdf67c7bd68123c0ea8f9c6c174d47cba02301138707a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/certificats/certificat_F9to44_E4_palier2p14.json`
+  - sha256: `eaeddc249b12ce83b166c76864e6ff7e1f61eed82b09cf99a40ab0cb5cc97b4f`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14/audits/verification_H6_E4_palier2p14.md`
+  - sha256: `4e38f432405cf495de466d72bbd8a30b527b5dc8d2934c5d530d672b080863c9`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 8
+- palier cible : 14
+- |Lift| : 32
+- |covered(certificat_D8_E4_palier2p14.json)| : 2
+- |covered(certificat_F9to40_E4_palier2p14.json)| : 29
+- |covered(certificat_F9to44_E4_palier2p14.json)| : 30
+- |covered(∪ certificats)| : 32
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E4_palier2p14.json) : 14
+- palier(certificat_F9to40_E4_palier2p14.json) : 14
+- palier(certificat_F9to44_E4_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E4_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E50_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E50_palier2p14.md
new file mode 100644
index 0000000..ffc3047
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E50_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E50_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_E50_B12.json`
+  - sha256: `371f8c55e3950ae19ecea7ca9b2378cf44d259e55bfdc258c189b3bdca1ec6eb`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_Lift_E50_palier2p14.json`
+  - sha256: `aabdef6a8af542c4ed7feb0cfa5061bafb1dded10533afe6af44d4a247783635`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/noyaux/noyau_post_D8_E50_palier2p14.json`
+  - sha256: `0c4946e5e8a2ffc9b3af76723f41788aa36ee47d12dd71f63e9a05b8ead46f26`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/candidats/candidats_D8_E50_palier2p14.csv`
+  - sha256: `a727b6c99986abc58dbb7caad96c5c30e51f5b3e4185489cbdd2c2545507cbb1`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/candidats/candidats_F9to11_E50_palier2p14.csv`
+  - sha256: `2492e2aa03cd949f604a2a6b0452fb74d5eb7830ede57aa746d14ff9b9fbd4c4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_D8_E50_palier2p14.json`
+  - sha256: `ffa078097d1d0016db3dcc62be28ac48f6a0188f04e668b8a6c690832cdbdb5a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/certificats/certificat_F9to11_E50_palier2p14.json`
+  - sha256: `7e9dd70cda3ac84302d1affaabdb88c2c31bce1d72ed1a4c84d5d759a9a97e91`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14/audits/verification_H6_E50_palier2p14.md`
+  - sha256: `510f66f802d79b54420e164a37df6b9d0dc6cf0665ac31fe3b5054de3b60f39f`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E50_palier2p14.json)| : 2
+- |covered(certificat_F9to11_E50_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E50_palier2p14.json) : 14
+- palier(certificat_F9to11_E50_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E50_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E51_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E51_palier2p14.md
new file mode 100644
index 0000000..7562e14
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E51_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E51_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_E51_B12.json`
+  - sha256: `cd3f20670c8823fff71d1229160bd9ede6fd0cfbf76ed5c9f281904fce7bb301`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_Lift_E51_palier2p14.json`
+  - sha256: `37c3ac2789e71f53b8860f114a81612e9054dd73317124b65edd8c3cd276139a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/noyaux/noyau_post_D8_E51_palier2p14.json`
+  - sha256: `40ba27ccd8edcda697c9b5b2075f42c8037930630d1ad05b3a511d53c9e9f2bd`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/candidats/candidats_D8_E51_palier2p14.csv`
+  - sha256: `91fc9d5844756b703d59986bf8e273d49f04f075a290ad14f085c74057615048`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/candidats/candidats_F9to23_E51_palier2p14.csv`
+  - sha256: `0de2ab02eef6164706767b51ea0217992f76491c1ac99c80db7d0d67954b624c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_D8_E51_palier2p14.json`
+  - sha256: `47834225704dccade5070d9b96cd170da054b76b89b07f32a295fed2d0f6e6ed`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/certificats/certificat_F9to23_E51_palier2p14.json`
+  - sha256: `019615e6f724fd54c357f1e9f2adda3d657f8242241b952dd318b295eff71c00`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14/audits/verification_H6_E51_palier2p14.md`
+  - sha256: `28e7b7e274a0e82a7aad25d947ac2a232617a1dcdcea8e451a78b07ee17a5a0f`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E51_palier2p14.json)| : 2
+- |covered(certificat_F9to23_E51_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E51_palier2p14.json) : 14
+- palier(certificat_F9to23_E51_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E51_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E52_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E52_palier2p14.md
new file mode 100644
index 0000000..f3e62cf
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E52_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E52_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_E52_B12.json`
+  - sha256: `8334ac9bb3482c4a7f6c635532c7a898d9082107d33df672e23ef105157b31de`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_Lift_E52_palier2p14.json`
+  - sha256: `0d65ad3aa030e72bf6d2e721bcfe55bef0a3f45a07773b2070385827d719567c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/noyaux/noyau_post_D8_E52_palier2p14.json`
+  - sha256: `f30e61429b38a9e331d7e4233a9ed2a2d8f0ba5ece62e7a1268a2e17581781d7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/candidats/candidats_D8_E52_palier2p14.csv`
+  - sha256: `46278ffe02ddda47ac6f52b367e3987acf450f37f6a1a4b4e0530f12560013a4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/candidats/candidats_F9to10_E52_palier2p14.csv`
+  - sha256: `b39f4859b603b5a8e43dce085511c2bf7a22ce5d1ff6e9ffe698f64372d473e2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_D8_E52_palier2p14.json`
+  - sha256: `8c25fd8e4333b5b41d2ef5f2f3b485e53003d3f4d17b899572c25f00a669cf73`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/certificats/certificat_F9to10_E52_palier2p14.json`
+  - sha256: `3dc2f63bd3b97d1955a8eed7eae61a5fa088ead6a78ea6290c0b6a2538d0b406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14/audits/verification_H6_E52_palier2p14.md`
+  - sha256: `ed8d3e97e5a9e0c55386d26e1640b59a80766115d2757b673f0feb488e3da284`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E52_palier2p14.json)| : 2
+- |covered(certificat_F9to10_E52_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E52_palier2p14.json) : 14
+- palier(certificat_F9to10_E52_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E52_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E53_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E53_palier2p14.md
new file mode 100644
index 0000000..4ff0a09
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E53_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E53_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_E53_B12.json`
+  - sha256: `607adeebe07b802a854830ac3a883cbe20014729abbb5d9062d710e9e6936b07`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_Lift_E53_palier2p14.json`
+  - sha256: `bb2a1afa87138393e7395378519ca2af1dd2f6d1b40b3bc8340dc5f1c593043c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/noyaux/noyau_post_D8_E53_palier2p14.json`
+  - sha256: `ca42fe463010da03c6c57577b5839250c78c48ecca4eab9c5880be8d651f8e19`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_D8_E53_palier2p14.csv`
+  - sha256: `ad4db5b27ab1c00319853485b0318e4a5ef9870fc75b396951cb531d84f178f5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/candidats/candidats_F9to18_E53_palier2p14.csv`
+  - sha256: `29d3ae171d0ce8036280df4d65ad6c2872be4eae078ec32a6da778cca25e7b87`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_D8_E53_palier2p14.json`
+  - sha256: `90a43db19c4ba7e05848e3762e78fe587383493287c716d4b15df4b361459430`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/certificats/certificat_F9to18_E53_palier2p14.json`
+  - sha256: `3d558a16652bbfd9072911459d9e2c62d4196be63ead94c5867ff7399fc063a9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14/audits/verification_H6_E53_palier2p14.md`
+  - sha256: `c44d488baa465c30e34bb861dab068144b40a2ea05b1fe588bf3baebc1a0cdc6`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E53_palier2p14.json)| : 2
+- |covered(certificat_F9to18_E53_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E53_palier2p14.json) : 14
+- palier(certificat_F9to18_E53_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E53_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E54_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E54_palier2p14.md
new file mode 100644
index 0000000..9390abd
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E54_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E54_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_E54_B12.json`
+  - sha256: `cd748a8391ce626f07e65bc25f040047e5f97d1df999fb5756fbf2b97cb1297d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_Lift_E54_palier2p14.json`
+  - sha256: `448cb36653450a68dba7ce32fc8f63e8bb62d810c46940f520600928559423c4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/noyaux/noyau_post_D8_E54_palier2p14.json`
+  - sha256: `8db961cf8f03bee0edbada85a7b18868a0efc02ab8a1d5cbca9494d4bc520ac6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/candidats/candidats_D8_E54_palier2p14.csv`
+  - sha256: `81c1d7fb407fc9e646d8eddab08bd4bea6c2ebce9d02df25b80c7012eabb517b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/candidats/candidats_F9to20_E54_palier2p14.csv`
+  - sha256: `e12cdedaaeadc2ace3639928d483cc3338573b1fc6afe893deabc05be9df5147`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_D8_E54_palier2p14.json`
+  - sha256: `956865c8e7c112d63ea35adf15e8617c12a999c386b2a0e091f89f9c4ccab1af`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/certificats/certificat_F9to20_E54_palier2p14.json`
+  - sha256: `60a387d5b32fc9531437b60ea2062bfb4f2e077499453eb11d1440dd3b7c5387`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14/audits/verification_H6_E54_palier2p14.md`
+  - sha256: `f5b63c265bb23fdfa65b1f88e9ddd93d9019750bd2efbd21b825db94fafc63ba`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E54_palier2p14.json)| : 2
+- |covered(certificat_F9to20_E54_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E54_palier2p14.json) : 14
+- palier(certificat_F9to20_E54_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E54_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E55_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E55_palier2p14.md
new file mode 100644
index 0000000..aca5b48
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E55_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E55_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_E55_B12.json`
+  - sha256: `1dfc04b3bcf0316b90148ff542c1c327719dac9449763672f42688dbb71f8a3b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_Lift_E55_palier2p14.json`
+  - sha256: `6a9c7e9ebdab83473efc911978f8357d1fcd398edbb303106208ac6c8ce628f0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/noyaux/noyau_post_D8_E55_palier2p14.json`
+  - sha256: `ba86d7dafc8756de64b820e25b3aa05cfcaf21ce30563069115453a91b93b261`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/candidats/candidats_D8_E55_palier2p14.csv`
+  - sha256: `791b53c2ace2e885b1cbd725be7ddcfb8a08aaf635af6766746e68fc20efccd0`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/candidats/candidats_F9to13_E55_palier2p14.csv`
+  - sha256: `678e19bbcc6ad3cdc6b54ce5547c2f6ab357b16b8dfa47e628bee8a2661cae9b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_D8_E55_palier2p14.json`
+  - sha256: `53e6c5ad37191a8b42f5efed3d04cb6fc8e38d7e7c77d256dbc05786b6ba7e82`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/certificats/certificat_F9to13_E55_palier2p14.json`
+  - sha256: `df7c441406bbd75d50c9ef6aedbca147e7e109fac22894a7b2c8a482817a9dac`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14/audits/verification_H6_E55_palier2p14.md`
+  - sha256: `3169442d7f59bde5cf7dab134cd0ef6a814575d4ad89f9c0509914c5c3db7e94`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E55_palier2p14.json)| : 2
+- |covered(certificat_F9to13_E55_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E55_palier2p14.json) : 14
+- palier(certificat_F9to13_E55_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E55_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E56_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E56_palier2p14.md
new file mode 100644
index 0000000..705a5d7
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E56_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E56_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_E56_B12.json`
+  - sha256: `dd20a621deabf80f21e51ea2051b49b8e3b97105bb0422394f43590e5f4ca88d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_Lift_E56_palier2p14.json`
+  - sha256: `64e0768941c39fd006a819c071d909af5b9c952ab3df6e4d9fb11f095778002b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/noyaux/noyau_post_D8_E56_palier2p14.json`
+  - sha256: `1b81f3a80ad70d714028243d1dfd1f56a3d2126277f23af3881576f6f8e2da36`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/candidats/candidats_D8_E56_palier2p14.csv`
+  - sha256: `5dd93bfdba5cb7b957f7cd50ccce25b745fb594a9db5b8f3d25f9bf71caf4023`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/candidats/candidats_F9to21_E56_palier2p14.csv`
+  - sha256: `0f97ee31609e2281991a1f2c193bd859c1d77dbb8630808e28ebc173cc2fa4b6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_D8_E56_palier2p14.json`
+  - sha256: `11aaec63e222d4bbe8ffc7978eaeedf2df92d0332d88abe5ae2a2f3ad46c6235`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/certificats/certificat_F9to21_E56_palier2p14.json`
+  - sha256: `117af72682be80208ab3ca5ddd7cb853e10827e94287ab21e2cc9f3def501583`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14/audits/verification_H6_E56_palier2p14.md`
+  - sha256: `8d484cfabd9b2ffa27e83943b2fb6e9448cfe65c3c28fa5e2d4ffa4083afc162`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E56_palier2p14.json)| : 2
+- |covered(certificat_F9to21_E56_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E56_palier2p14.json) : 14
+- palier(certificat_F9to21_E56_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E56_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E57_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E57_palier2p14.md
new file mode 100644
index 0000000..8709600
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E57_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E57_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_E57_B12.json`
+  - sha256: `94c713dcb5d2527dda6e1b849516706899218f6ec58d3d4fdd23d12a0ace7b94`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_Lift_E57_palier2p14.json`
+  - sha256: `4895c4bcea8a833ca2dea5da48a6b11b6af18ab90a10f11fcf7f7767af2726ad`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/noyaux/noyau_post_D8_E57_palier2p14.json`
+  - sha256: `44bbcb6843d36d7c6e925f0c1d6e68dc1007028193ece4677d19848368955456`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/candidats/candidats_D8_E57_palier2p14.csv`
+  - sha256: `19dd10f86bfa9f1dd72d9a5a79b545528b922e5a392dfa9044005a999748ab26`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/candidats/candidats_F9to16_E57_palier2p14.csv`
+  - sha256: `cc1ab983915287c7b499ade12148f02d4cfdf676e00efe4237c32a00607d0825`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_D8_E57_palier2p14.json`
+  - sha256: `7b394a5254ce6fc787aeb6b2c6ea67331bb8b3968880c768e4a5e062d5c999b6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/certificats/certificat_F9to16_E57_palier2p14.json`
+  - sha256: `94bda7f9b3f94d4dab5372542187d7bf419550aed17fddd29e9ce1da662e2c73`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14/audits/verification_H6_E57_palier2p14.md`
+  - sha256: `5d581b7d6b3d798c045e0d35d1d7a4b8efe135c22fee2505b8116f3f864ea5db`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E57_palier2p14.json)| : 2
+- |covered(certificat_F9to16_E57_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E57_palier2p14.json) : 14
+- palier(certificat_F9to16_E57_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E57_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E58_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E58_palier2p14.md
new file mode 100644
index 0000000..4e2a6ee
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E58_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E58_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_E58_B12.json`
+  - sha256: `552d8c3b3404c91566dc7c209473047ce83b07ea4da1f1d58291eef9d6e59dbb`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_Lift_E58_palier2p14.json`
+  - sha256: `80d831bccc05c01ca7a463c85723e721999fb980c1006df3b3cba3aa4e804f15`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/noyaux/noyau_post_D8_E58_palier2p14.json`
+  - sha256: `3cf43303ec6e38ce3ccd96aef382dedfcb8c6a1c8c439dc2cba7542a8652a301`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/candidats/candidats_D8_E58_palier2p14.csv`
+  - sha256: `0ba498429d23d10f987b8924cb305c14ff6cb79ce863ab3e724d36bd2ac02d0a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/candidats/candidats_F9to10_E58_palier2p14.csv`
+  - sha256: `7846de9c685b7c6577b10c10f4962a6bcd22703c47d07c66ec24a08f8e8e37ad`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_D8_E58_palier2p14.json`
+  - sha256: `b662c6a94bd3e2be588ecfe019923bfd21d3768af0165a44f46fa46b653c06bd`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/certificats/certificat_F9to10_E58_palier2p14.json`
+  - sha256: `4afe6f179a0214ea82e88ceb6c0347941427a69cbc38639df7056c68b3d8e97e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14/audits/verification_H6_E58_palier2p14.md`
+  - sha256: `a12223d8d5f01d1b5c7c188e7bccdc7313501efd036715cf5e8ad88302b6f4d7`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E58_palier2p14.json)| : 2
+- |covered(certificat_F9to10_E58_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E58_palier2p14.json) : 14
+- palier(certificat_F9to10_E58_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E58_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E59_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E59_palier2p14.md
new file mode 100644
index 0000000..bad7b62
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E59_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E59_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_E59_B12.json`
+  - sha256: `9a81652f1312d0104253d09260299364f1b5964f640f199982eabc1f4943e34e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_Lift_E59_palier2p14.json`
+  - sha256: `774b5133fe037e5ff810f8f0fbdeb8d5900a4c56f9590559a885c23236e76109`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/noyaux/noyau_post_D8_E59_palier2p14.json`
+  - sha256: `4fd8d5a9f3c731e7a4839835770dce3cff31008fc74ca88a0404c5f47bd759b9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/candidats/candidats_D8_E59_palier2p14.csv`
+  - sha256: `0f145fcd2e7f5ac37b2d8df7c573c928d6f330fd5a746898b1d352cd47ca69a2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/candidats/candidats_F9to10_E59_palier2p14.csv`
+  - sha256: `632ef1c91e86ae14aacd348a7e09d2ea5e7925c079515c6947c8bc05d2d79e3b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_D8_E59_palier2p14.json`
+  - sha256: `3b9d92d50ecc0f0e3bde4c832d39c59532e8db21dcf622bacc8d82d3974de38a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/certificats/certificat_F9to10_E59_palier2p14.json`
+  - sha256: `38662f038a2f3d433c641e536f55e53779133d96c289c627c60b978d70b4e166`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14/audits/verification_H6_E59_palier2p14.md`
+  - sha256: `ec9c691442ea0182a63e9e1526fcb79345805297c5ffe5f9328555bb509161f6`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E59_palier2p14.json)| : 2
+- |covered(certificat_F9to10_E59_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E59_palier2p14.json) : 14
+- palier(certificat_F9to10_E59_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E59_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E5_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E5_palier2p14.md
new file mode 100644
index 0000000..380ea0a
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E5_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E5_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_E5_B12.json`
+  - sha256: `38bf450c012e95bdaa0921b0d38192d07a2e70fcf0638d0086274a42c2dd4653`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_Lift_E5_palier2p14.json`
+  - sha256: `9c590dbf1ba6bfb7ed95fad0d45cbc771467a22419c389ed842eaef093ca63a3`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/noyaux/noyau_post_D8_E5_palier2p14.json`
+  - sha256: `ee2387cdf4c69d7db53c7b2e8d49132645f6babd8a2f2efbeb1ea4aae66ac9d1`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_D8_E5_palier2p14.csv`
+  - sha256: `beddbdaffcc5e6b6a4d7800eb6fe039310608018f8accbafb7b87441f0fc39ad`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/candidats/candidats_F9to43_E5_palier2p14.csv`
+  - sha256: `4c30e55f78b542855af443a0f555766357c473d80a4e5d10853591fa39f45a87`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_D8_E5_palier2p14.json`
+  - sha256: `1f7659932a9792c7a787838b88cd3e640851f269172bbcb336d1ec750ed42d8c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/certificats/certificat_F9to43_E5_palier2p14.json`
+  - sha256: `a91acfc3f10a5cb55a213dd655645f7b4fb57573ea6755d6230fc6b4e84aaafa`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14/audits/verification_H6_E5_palier2p14.md`
+  - sha256: `507a86e134856d5eff12068fda294285a0f1e5d1e94eafda3b2c3e04c3823fad`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 8
+- palier cible : 14
+- |Lift| : 32
+- |covered(certificat_D8_E5_palier2p14.json)| : 2
+- |covered(certificat_F9to43_E5_palier2p14.json)| : 30
+- |covered(∪ certificats)| : 32
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E5_palier2p14.json) : 14
+- palier(certificat_F9to43_E5_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E5_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E60_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E60_palier2p14.md
new file mode 100644
index 0000000..a36b5cb
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E60_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E60_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_E60_B12.json`
+  - sha256: `d31d0898d044587aa6c6adcc9acfea07ce0141267b9756bf2390e396e9fab5b5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_Lift_E60_palier2p14.json`
+  - sha256: `c2f65fc7252fcff283f4b4188a841fa5992f25a1173d97cbf952ba7334e14e89`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/noyaux/noyau_post_D8_E60_palier2p14.json`
+  - sha256: `8003736e3257031cce8772993fc235eaa8fcc5dc76f876ecd6ce85d886c5d4c2`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/candidats/candidats_D8_E60_palier2p14.csv`
+  - sha256: `6c2cab488eec20e5d0b3061e4c962929552a3a745eae02e94a7bd9f0f163d0f9`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/candidats/candidats_F9to11_E60_palier2p14.csv`
+  - sha256: `9f4b276991a9e56706c649350794f78191d27578f5b439b6bf06d346ed6336ac`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_D8_E60_palier2p14.json`
+  - sha256: `96e8864f1c4b5d3b4b6a72fecc8ec2776bea9e555b5c546a876bd6e6d556f1c3`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/certificats/certificat_F9to11_E60_palier2p14.json`
+  - sha256: `d92548c80c9a3a456542f868afc5d95a1a0133ba177d4cdf4451a9ed4d695e41`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14/audits/verification_H6_E60_palier2p14.md`
+  - sha256: `c626ca23ad686ba085c50abf0d77146097ded1ead7749bc81194eaddae9bc776`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 1
+- palier cible : 14
+- |Lift| : 4
+- |covered(certificat_D8_E60_palier2p14.json)| : 2
+- |covered(certificat_F9to11_E60_palier2p14.json)| : 2
+- |covered(∪ certificats)| : 4
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E60_palier2p14.json) : 14
+- palier(certificat_F9to11_E60_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E60_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E6_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E6_palier2p14.md
new file mode 100644
index 0000000..8a99507
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E6_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E6_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_E6_B12.json`
+  - sha256: `5163d98ad33b9d5cab060daf6ae5368cf4644203505183308e423c0a0d00d686`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_Lift_E6_palier2p14.json`
+  - sha256: `524249d3b2ff4b620e14453890a742347165c839a7b13eda800811adf8551af5`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/noyaux/noyau_post_D8_E6_palier2p14.json`
+  - sha256: `54c7d0ea07788129997481344703c264e7725114a2fae0b8d5e75acd4caa0753`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_D8_E6_palier2p14.csv`
+  - sha256: `98dbb0c49c1448cf000ea6c6cd15ce80f1ea3f79d45830d67c280c2a025d392e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/candidats/candidats_F9to64_E6_palier2p14.csv`
+  - sha256: `763e2df1a42e8bd9add50872c50cdc967b8408edf2ef2c9a1471ffa2136a5899`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_D8_E6_palier2p14.json`
+  - sha256: `ceabb5ab21e5f49da13b6e6d2d94d3ba081f328bb35f68a9cfb463070fdd814e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/certificats/certificat_F9to64_E6_palier2p14.json`
+  - sha256: `5065dd3e9bf454e2ecb18fa88b393c89bea94d05383baa3ee643478dd14611f4`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14/audits/verification_H6_E6_palier2p14.md`
+  - sha256: `ab49b6e27233d5047bba21e1a97cc5f95d7f53e88464663b40e446bb4a73200d`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 8
+- palier cible : 14
+- |Lift| : 32
+- |covered(certificat_D8_E6_palier2p14.json)| : 2
+- |covered(certificat_F9to64_E6_palier2p14.json)| : 30
+- |covered(∪ certificats)| : 32
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E6_palier2p14.json) : 14
+- palier(certificat_F9to64_E6_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E6_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E7_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E7_palier2p14.md
new file mode 100644
index 0000000..e74d1d1
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E7_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E7_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_E7_B12.json`
+  - sha256: `ed5255ad7306b1c7c88bfed61913d7074a36c6022fe977b524fe0d3b1199f6de`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_Lift_E7_palier2p14.json`
+  - sha256: `980af6128082e53e53ec8afe05b284413e06ec482a5768457b06d09d6929dc68`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/noyaux/noyau_post_D8_E7_palier2p14.json`
+  - sha256: `0120a8e25e1a39a99f2c766c3e577c4ab812818af90598017dd0463f3a3c260b`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_D8_E7_palier2p14.csv`
+  - sha256: `e86619eeb790b7ee5f554dac6420e426e67c689529ca530943390620abd6a5c8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/candidats/candidats_F9to45_E7_palier2p14.csv`
+  - sha256: `649f84b619f22249ee60c1dee6b7a0df197d033870b7a547a96f37a6c23a6323`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_D8_E7_palier2p14.json`
+  - sha256: `e266e87625a5d75c1baf23e1caf0c2c487d529601adcb597df81a4b1e78767c8`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/certificats/certificat_F9to45_E7_palier2p14.json`
+  - sha256: `16e02c7f04ba9cd758aeb82c05359448afa04bb43961ad98c2eb7f2641da6de3`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14/audits/verification_H6_E7_palier2p14.md`
+  - sha256: `148dd5ca00a06d3af35734ea4f906c02f110a6767ac23707938da819ae0ca03e`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 8
+- palier cible : 14
+- |Lift| : 32
+- |covered(certificat_D8_E7_palier2p14.json)| : 2
+- |covered(certificat_F9to45_E7_palier2p14.json)| : 30
+- |covered(∪ certificats)| : 32
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E7_palier2p14.json) : 14
+- palier(certificat_F9to45_E7_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E7_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E8_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E8_palier2p14.md
new file mode 100644
index 0000000..34eefe8
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E8_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E8_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_E8_B12.json`
+  - sha256: `7f9f3b7d96ce01aaaa7023b817711185d384202e510880e1aeb56600614c22ac`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_Lift_E8_palier2p14.json`
+  - sha256: `8e61558f32064ab18899f00be962a4186f948cad92128061c87d4a454b7c4d85`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/noyaux/noyau_post_D8_E8_palier2p14.json`
+  - sha256: `964a4c72f045cc6700364685d745141514d644e6c9c9d148a2f54bd44aa032b6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_D8_E8_palier2p14.csv`
+  - sha256: `4a09f1dc5ea70b7017cd283b46807f26a11461a7934f69918770d08ae49067cf`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/candidats/candidats_F9to28_E8_palier2p14.csv`
+  - sha256: `f849d648bc50549e4417f2dd315a84217a1332c55d14665b14a88e1bed63bb1d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_D8_E8_palier2p14.json`
+  - sha256: `c25ed819c69e3a9286494c94436d5d8c6051b25b62e28650cf0c4a9ec190722e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/certificats/certificat_F9to28_E8_palier2p14.json`
+  - sha256: `e1695881cbbb7d775e53e39ed7303dae481eef6fcd6cdd326775dba84bbf93d7`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14/audits/verification_H6_E8_palier2p14.md`
+  - sha256: `1be27a0e3f3c474f6ccfb1b6c707a826bddfce7a84c0717c8ab5db347557291a`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E8_palier2p14.json)| : 2
+- |covered(certificat_F9to28_E8_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E8_palier2p14.json) : 14
+- palier(certificat_F9to28_E8_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E8_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_local_H6_E9_palier2p14.md b/docs/collatz_run_report_2026-03-09_local_H6_E9_palier2p14.md
new file mode 100644
index 0000000..123a08c
--- /dev/null
+++ b/docs/collatz_run_report_2026-03-09_local_H6_E9_palier2p14.md
@@ -0,0 +1,60 @@
+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — local_H6_E9_palier2p14
+
+## Contexte
+
+- **But** : vérifier H6(E1) (complétude locale) par couverture explicite des relèvements au palier cible.
+- **Assertion vérifiée** : l’union des ensembles `covered` (certificats locaux D/F) est égale au domaine relevé.
+- **Statut logique** : ce rapport vérifie une égalité d’ensembles sur des artefacts versionnés ; il ne prouve pas la correction sémantique des clauses D/F.
+
+## Code et reproductibilité
+
+- **Commande** :
+
+```bash
+python3 applications/collatz/collatz_k_scripts/collatz_generate_run_report.py --profile local_H6 --scope local_H6 --out-dir applications/collatz/out --docs-dir docs --local-h6-artefacts-dir <PATH>
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_E9_B12.json`
+  - sha256: `5f09a40a787a0758463dd95133362e34ac0e3bd211ff6de297a2e84134f4988d`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_Lift_E9_palier2p14.json`
+  - sha256: `f1d46d2ae31abe9f68edc811b606e8505264968ddbd9dede1e22795a39cf5a8c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/noyaux/noyau_post_D8_E9_palier2p14.json`
+  - sha256: `400b2630e7abdad97e7095e166e95e26200022ff27d091853c213844e5aef7db`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_D8_E9_palier2p14.csv`
+  - sha256: `211966b95b72c90f2ab39c0e8e6ddcdc809c35b7aee79681cdfa6e2a72a7a909`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/candidats/candidats_F9to52_E9_palier2p14.csv`
+  - sha256: `68c2552daa380da46f0939c9fe3b019281010ee7952c4b14be06714db358b380`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_D8_E9_palier2p14.json`
+  - sha256: `579374ab7539e16893fcefc42056b1cc460bb246f2c79d3ec2f23de1505a2f65`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/certificats/certificat_F9to52_E9_palier2p14.json`
+  - sha256: `3427bd81ff4fae229918d0aaa9308876b821bde03a1a2fcdc1666b23a831147c`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14/audits/verification_H6_E9_palier2p14.md`
+  - sha256: `0a8abf66af8c7f58378c1167012e09576a4b02bf6e19f4a33900eacae4126b8c`
+
+## Compteurs et métriques
+
+- palier base : 12
+- |B12(E1)| : 4
+- palier cible : 14
+- |Lift| : 16
+- |covered(certificat_D8_E9_palier2p14.json)| : 2
+- |covered(certificat_F9to52_E9_palier2p14.json)| : 14
+- |covered(∪ certificats)| : 16
+
+## Audit — palier attendu vs palier certifié
+
+- palier attendu : 14
+- palier certifié (d’après certificats) : 14
+- palier(certificat_D8_E9_palier2p14.json) : 14
+- palier(certificat_F9to52_E9_palier2p14.json) : 14
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/local_E9_palier2p14`
+
diff --git a/docs/collatz_run_report_2026-03-09_universal_clauses_palier2p14.md b/docs/collatz_run_report_2026-03-09_universal_clauses_palier2p14.md
new file mode 100644
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+**Auteur** : Équipe 4NK
+
+# Rapport d’exécution — universal_clauses_palier2p14
+
+## Contexte
+
+- **But du run** : extraire des clauses universelles candidates (Option A : Lift(B12)) depuis l’artefact C3 local, et vérifier leur cohérence déterministe.
+- **Assertion vérifiée** : cohérence arithmétique des clauses extraites et cohérence des relèvements au module minimal \(2^{A+1}\).
+
+## Code et reproductibilité
+
+- **Commit Git** : `67eb6a5e684491dd1bb1bb708243a379598040aa`
+- **Commande** :
+
+```bash
+--profile universal_clauses --scope universal_clauses --universal-clauses-artefacts-dir docs/artefacts/collatz/universal_clauses --out-dir applications/collatz/out --docs-dir docs
+```
+
+## Empreintes sha256 (scripts, artefacts)
+
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_generate_run_report.py`
+  - sha256: `6c5a652b13564da4dc63e6e17884e967612a00f5d2ceb706827cc8e9be851406`
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_extract_universal_clauses.py`
+  - sha256: `a3de82a8b2b4e2579e2a4f94141711254629961ad8ea7746545a566c4ff4490f`
+- `/home/ncantu/code/algo/applications/collatz/collatz_k_scripts/collatz_verify_universal_clauses.py`
+  - sha256: `d7e0248c2096ce603166761b0cc78e6984d5995aba7c49ae6fa071b36d81df1e`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/c3_local_descent/verification_c3_local_descent_palier2p14.json`
+  - sha256: `baa4b71bf2d520864966769175286a552a0b65a646f3cfeeb37f7b8e34341f1a`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.json`
+  - sha256: `0609c6290eaa1689eebe35e24dbea8e535c2388124bb3bd55567282e08b33b71`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses/palier2p14/clauses_universelles.md`
+  - sha256: `08170ecb88162ba6861b7f2ff8cd4e6f5a753071476ce09ba094a9335c5f0601`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses/palier2p14/verification_universal_clauses.json`
+  - sha256: `6c81c7eb4abdb0bb3019ff7c681a0bd3a7426aa33efd61bf20e4c58f4520fca6`
+- `/home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses/palier2p14/verification_universal_clauses.md`
+  - sha256: `f5cc2c2512a82b579bac81a664ac7377c25ea51c6f2923ca403bb79f9e712f42`
+
+## Compteurs et métriques
+
+- palier (domaine des témoins) : 2^14
+- max(2^m_stable) observé : 2^102
+- total clauses : 768
+- D_exact : 60
+- F : 648
+- D_brother_local : 60
+- ok_records : 768
+- ok : True
+
+## Chemins d’artefacts (versionnés)
+
+- ARTEFACTS : `/home/ncantu/code/algo/docs/artefacts/collatz/universal_clauses/palier2p14`
+