Mister-Meeseeks · Oct 16, 2026 · Oct 14, 2026
diff --git a/research/three-total-decoders/LICENSE b/research/three-total-decoders/LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
diff --git a/research/three-total-decoders/MANIFEST.sha256 b/research/three-total-decoders/MANIFEST.sha256
@@ -0,0 +1,61 @@
+c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4  LICENSE
+ccab919d95d1f5c137de9044897938188edddd967936ebcfff697ee32ab1c451  NOTICE.md
+a812bb80e480a3f2f446e0f0f77300606e4337e4a888c141a7f4380ca15bef07  README.md
+ad8545cd8408c80fc24ec82d3ebbe13b337ca66d0deabe388672b4e4b88c5558  SOURCES.json
+9d5490a6bc5c9696e902075da2560d43abeef3d69c24b6dd05590d5d0fc93d35  c/brutetu.c
+55d864202535c22952e1a9080ad834f1908d18ff857c8dc26211e25a847d1fc8  c/enumall.c
+11f8c3d1ddb103eac91ef7c92e2dd887d53b5aa407997afba3105b01ac18bdc1  c/jsign.c
+c1a69e5ca874d6a382583132f0596ddefb84f0e1b31b34775ca1c2aab32b95da  c/mas.c
+60e2538145cf3d0031ae29769b4c1a9a93fbcd252bed9163942cc5f1fd75bf2b  c/tusign.c
+fb18332a3adb4842c3662346aa7f6b5115debc04f1a392b6e9cbb423b7b83c8d  checks/expect.py
+c9b843903c6a1fb51e7a0664b010de0aa0a6cd66384b3ef39a71afb168b85285  checks/f2s.py
+2c2d273387d6cd315e8606c8b5ffaa0421980d017c25f18df59177b3ef6277e1  checks/g1_cex.py
+7b535510a03aa255e4ba78fd5787e58abbba214632966b6bba100cf1932cb10d  checks/hesse_below.py
+a656c6a54bc5cd1b3878dc63a020e25d910208e9fc6d347ffd0f6e968531a5b5  checks/hesse_smoke.py
+0dc28b867ffa7d977aeb92cf9c71012030b4c27e0291b2a3659e8497622c3480  checks/lifts.py
+0dc3997bdc78454b1e67e3d3c3798e4924817d311bbbc526d3554876d08a053c  checks/mcc_cex.py
+63cf4cb580ec56102a74680d226bc6f7993e233b3406ae409b6b19bcbc78f173  checks/nondeg.py
+6b5d409e22d936c429f44595467939ef9e0dacedc73bc4ea177d7de2ba1770d3  checks/thm.py
+e6d03be2481e30439f8bd2ab03c066b56025f89924f7309dab9dd59902da1f92  checks/tied_min.py
+4c48f91787e8ee0407c218e3253ab38327cad0536128f73533edf864c9040891  data/aff14.json
+89907be2205b217f5dfa79f6e12b19f05e52f158be301752a0ccfd3759151122  data/cech_v8.json
+6ef2af941ccad9f8a1c38f3a26020425022b5b09e15183b52dc0a3651261cde8  data/cex_joint_v7.json
+86064701dde94b4f35427bc3e19275eaf1e40e9e90d4fea28e7857f3564d4dd7  data/cex_min_1.json
+15f5039069a175831f92c4ffe023a23a6f6e6bd6665f0ca2c2734bbe672b51ef  data/cex_min_1.json.B22.json
+9e92b7b5f1221c180af3637ff70940aca5255b92f7b641efe3c615433e54761a  data/cex_wholeTS_v9.json
+ea72716f98af4a99141d28f828db3c5c99c2cc8ad7d15ed6a8329de37ee36790  data/gad.json
+312ee28adea5fba1b1d518271dfa57ef047a7b9c0560a57d397105ff49af2e12  data/gad_nonTS_minimiser.json
+0eb5a156f3ca4c2fdbc43ad1004ade0897453702f25662837f33a0bf811d12da  data/lifts_nojoint.json
+201337647ca3012543ae326285fbf7a77d3e0b4290d156b72dde4e22e4186a3f  data/mcc_cex_min_1_solution.json
+7e5e5fa66dbaf0ac1fa7382fec28bbebe10d477e80022d648fb4c0093f23c64c  data/nojoint_21_1.json
+c56efcac1b354fca4efe5ce203c0df2c723e28b5acaf6600c53d65510f2aad5e  data/nojoint_21_10.json
+8315bda5e6e175c322c1db4767635c30c58a8095ff939b8555984da737fcd258  data/nojoint_21_11.json
+a4ac2c9bfb72c2256032c5cde87860e0a82e78b4b788d0dae39d96e56dec7a58  data/nojoint_21_12.json
+2d4ab6b67d6b17d8c231d6ddfaf58f1c73e34e1c8d622b69b133ac83b0a62b0b  data/nojoint_21_13.json
+b6ef1c334c38c805bfb8c33459db73f805da80a3e3bc64944a5542d75dafc4dd  data/nojoint_21_14.json
+6020caec4ce319e9ee122948b3e09ac987cba8f504ece906e550f3996e3d46a5  data/nojoint_21_2.json
+d9531dccba8cad1ed6bce75e21ee1336d512969e73a53faff98718b3889b1ec3  data/nojoint_21_3.json
+ba139ce8e3e65f429346a60015042ff2bffd25b91c7487a68d06f12457aba6b5  data/nojoint_21_4.json
+e7cd06311ce71bd6460b3c6cf237eb9c19721ddc4c8cedd39ea736c1dfe1692f  data/nojoint_21_5.json
+9c7c2d30b33de6a34821ad853f455bbe9a8ca3c42707010c247dbef00575bca8  data/nojoint_21_6.json
+d477bd3bafb872c2ba638183e34762d402f2c3687953360b137cc7222afa3f98  data/nojoint_21_7.json
+99fd2dcbc1b52b1a7255cabe92e88508bccf936900d87f42108609bbc58952e4  data/nojoint_21_8.json
+4b44af0cf900012124e1844f223abf1423c46d2561dce60a380d3957495d0e8e  data/nojoint_21_9.json
+2781dda2b8bc4d3ee75a2465cb7350973b514a9c737f9181e3bcff3f358ce839  data/supmin_fail_v8.json
+670ed90924b601ade22f0d4adaff46d1667e5449326a0f7ba7b88dd8f5906f93  data/tied_min.json
+ef10f51b533d349ae465b1df2f46d367182264c22609d2d5cbfe3b7a6cfd7ff1  evidence/T3-PROOF.md
+f91bbb764bb6c10a4348b3063000b3f773aeffc7dbe65c60e93a926794e5b4e8  evidence/cex-README.txt
+5b11bc485ef50627e04fb790c463fba4ec31e851d788233ed0a4216938239a13  evidence/fleet-BRIEF.md
+462fe8e9fa662365648e4f6fda3e029915a6e6b275b84f409670f35996098485  evidence/fleet-REQUESTS.md
+791c7d53cb1b94cfe2674be0ffd5ba509fb1cf162ced5515ac0858fa23be1f91  evidence/fleet-S1.md
+139f441a18e855e2761d2ec2ce0b53bcc2fad42d074368b02601f3bba8dc9882  evidence/fleet-S2.md
+ba1ab38b52c84e59623ac33be6e5a7a8d5cf940d66047555905c366306861bb9  evidence/fleet-S3.md
+cc1d9287fcdadb9afb670103fb18fac0d55664b6afd1673557aa60c217e59136  evidence/fprime-PROOF.md
+304ff3ef8ef20093236d366b728acf570575050d1b9c64631bf3e5f7da668df8  evidence/g1-PROOF.md
+7eb9e6735ff036533cfbdd86e5aa981d62a81a76deb95aeb2b61ddf3c6362c99  lib/hesse.py
+c707f5270b2eaef2da1dc0c1bf95c3ebf55d3fb667161c6c03a2126fad0422ec  lib/kit.py
+cfbddbee3112f115c2ef606f7603481b4ef18cf80341041513a203417cc789e9  lib/satlib.py
+427121d36b70d068fca3807e37868002f6271a9aa4eb465c18b347535040ba65  requirements.txt
+b07eeaeeb537fecc75390ab832a5df4a629f9a1115bbd8cd40a77fd816a71d4c  scripts/make_lifts.py
+6c4c71c693e63a9b27b327c181d308878dd7c8ec966d70fea708e8bed4d9355b  scripts/provenance.py
+834a66a3fbd088400b1b4d063386ec8a2a62e0dd3d674aef1e952f4d9a25cf9e  verify.sh
diff --git a/research/three-total-decoders/NOTICE.md b/research/three-total-decoders/NOTICE.md
@@ -0,0 +1,19 @@
+# Notice
+
+Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code; Apache-2.0 (`LICENSE`, copied from the repository root).
+
+## Credits (prior work this package stands on)
+
+- **#446** (Theorem C; closed, not merged): the cost formula and exactness model; **#595** (FL C.6): the pairing model and the window table; **#717**: the provenance/manifest pattern of `scripts/provenance.py` and the complex E8 decoders; **#1590** (`research/root-unit-decoder-lemmas`, merged): Lemma A (T ≤ 2), the lift identity Lemma B, ERR1, the D5 CNF; `checks/expect.py` and `scripts/provenance.py` are adapted from that package. **#2031** (pending): the DRAT certificate of the D5 CNF, cited, not duplicated.
+- Swarm work used, all from our own working cards of 2026-10-13/14: the second-prover card `KPR4-T3/PROOF.md` (L1–L8, Theorem P), the `fprime` card (Theorems M1, U, MCC, tied_min, SCC/Peel), fleet workers S1 (matroid route, TU-signability, gadget, aff14), S2 (F2S exchange route, PP, 4095 sub-configurations), S3 (adversary search), and the `g1` card (joint signability, counterexamples, Hesse runs). Their notes are shipped verbatim in `evidence/`.
+
+## New in this package
+
+`README.md`, `verify.sh`, `SOURCES.json`, `requirements.txt`, `MANIFEST.sha256`, `c/brutetu.c`, `lib/kit.py`, `lib/satlib.py`, `scripts/make_lifts.py` (adapted from the g1 card's `exactlift.py`), `data/lifts_nojoint.json`, `checks/*.py` (written for this package; they re-implement the checks of the working cards in exact arithmetic with fixed seeds), and the selection of data.
+
+## Adapted from our earlier work
+
+- `c/enumall.c`, `c/tusign.c`, `c/mas.c`: unchanged from the g1 and fprime cards. `c/jsign.c`: the g1 card's program with an added option that prints the solving signing.
+- `lib/hesse.py`: the arithmetic and sampler of `g1/hesse.py` with the module-level search loop removed. `lib/satlib.py`: from `fprime/enumB.py` and `fprime/costsat2.py`.
+- `data/`: configurations and certificates copied from the cards; `data/gad_nonTS_minimiser.json` is one entry of the card's list of 23552 gadget minimisers.
+- `evidence/`: verbatim snapshots (snapshot of 2026-10-14 14:32; the status header of `g1-PROOF.md` predates its §11–14).