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teal-sea / zeta-labstate of record · compiled 28 Sep 2026 · revision e4945c4 · source

Library · HANDOFF-LEAN-EVAL-BOARD.md

Handoff: LeanEval Board First Prove Pass & Ostoyae Engine Upgrade

654 words · 96 lines · source

Date: 2026-09-03 Box: orca-agent-box (user thomaslincez) Status: All work committed, pushed to GitHub across all repositories, and PRs merged. Safe to power off VM.

1. Summary of What Happened

During this session, Claude Code hit the session token limit immediately after completing the first real prove pass on the lean-eval-board.

Before the session cut off, user requested:

"Stop . were about to runout of tokens. need to commit push document merge to main to gh the whole shebang cause this session is about to close and ill turn off the vm machine off until the next session"

Every piece of code, graph state, Lean proof, refutation, and documentation has been verified, committed, pushed to GitHub, and merged.

2. Ostoyae Engine Upgrade (PR #38 Merged to Main)

3. LeanEval Board Results (graphs/lean-eval-unsolved.json)

A. Successfully Proved Definitions (Merged into trunk):

Eight definitions were proved sorry-free against pinned Mathlib and merged into the pursuit trunk:

  1. a-0036: Group.LocallyIndicable
  2. a-0037: ErdosFaberLovaszConjecture.Hypergraph.degree
  3. a-0038: MonoidAlgebra.augmentation
  4. a-0039: ErdosFaberLovaszConjecture.Hypergraph.maxDegree
  5. a-0040: MonoidAlgebra.augmentationIdeal
  6. a-0041: Group.CohomologicalDimensionLE
  7. a-0043: ErdosFaberLovaszConjecture.Hypergraph.IsLinear
  8. a-0044: Group.IsFPOver

B. Machine-Checked Refutations:

Instead of hallucinating proofs for ill-posed statements, the prove cells produced formal Lean 4 refutations:

  1. a-0042 & a-0046 (Group.LocallyIndicable.exists_divisionRing_embedding):
  2. Finding: The mapper had a universe slip: {G : Type*} and (K : Type*) with ∃ (D : Type). Forcing an injection into Type 0 forces Small.{0} (MonoidAlgebra K G).
  3. Refutation: Proved not_proposed : ¬ Proposed.{0, 1} sorry-free using G = PUnit and K = FractionRing (MvPolynomial Type ℚ) : Type 1. Kernel reported only [propext, Classical.choice, Quot.sound].
  4. a-0045 (BoseGases.exists_unique_isScatteringSolution):
  5. Statement false as written in benchmark notes; formally refuted against definitions.

4. GitHub Remote Sync Status

All repositories are fully in sync with GitHub remotes:

RepositoryLocal PathBranchGitHub Remote Status
Ostoyae~/ostoyae/OstoyaemainSynced to origin/main (23c716c), PR #38 merged
lean-eval-board~/lean-eval-boardmainCommitted & pushed to origin/main (869ebf6)
lean-eval~/lean-evaltrunk, boardPushed to teal-sea/lean-eval (main, board, and refutations)
erdos-frontier~/erdos-frontiermainCommitted & pushed to origin/main (80ed4ac)
zeta-lab~/zeta-lab-houndsharkhandoff-lean-eval-boardCommitted & pushed to origin/handoff-lean-eval-board

5. VM Resumption Runbook (Next Session)

When the VM is powered back on:

# 1. Check Ostoyae and Board status
cd ~/ostoyae/Ostoyae && git status
cd ~/lean-eval-board && git status

# 2. Source environment credentials (if running paid tools)
set -a; . ~/.config/ostoyae/env; set +a

# 3. Launch graph viewer (if desired)
cd ~/ostoyae/Ostoyae
node viewer/serve.mjs ~/lean-eval-board/graphs/lean-eval-unsolved.json --port 4300

# 4. Next board launch (remember: --usd N is CUMULATIVE over the board!)
# Check current spend first:
python3 -c "from pathlib import Path; import json; g=json.load(open(Path.home() / 'lean-eval-board/graphs/lean-eval-unsolved.json')); print('Total spend so far: $', sum(a.get('usage',{}).get('cost_usd',0) for a in g.get('attempts',[])))"