{
 "columns": [
  "Id",
  "Missing data / tool",
  "What exists instead",
  "Build-it-ourselves plan",
  "Est. box-hours",
  "Source",
  "Status"
 ],
 "widths": [
  7,
  40,
  46,
  58,
  12,
  36,
  14
 ],
 "rows": [
  [
   "G1",
   "LeanGym-PR: executable repository pull-request tasks (Leanstral 50% of RL mix)",
   "Nothing public. MathlibPR is a merge-readiness classifier, not task+patch. princhernwang/mathlib-refactor-history (gated) has refactor diffs.",
   "Mine Mathlib4 git history: (pre-commit tree, PR description, post-commit diff) where the diff adds/repairs proofs; task = reproduce the patch until `lake build` of touched files passes under the pinned toolchain. Start with single-file proof PRs only. Success must also require: no sorry/axioms beyond standard, theorem statements preserved, dependency audit; ground-truth patch is one valid solution, not the only one.",
   "~20 (CPU builds)",
   "critic gap; in-this-work-we-present-leanstral-a-series-of-generalist-code-agent-models-for",
   "Planned"
  ],
  [
   "G2",
   "Prove-or-disprove Lean data (Leanstral 30% of RL mix)",
   "Only xlr8harder/lean-proof-or-refute-300 (300 items) and formal-conjectures statements.",
   "Negate the CLOSED proposition (¬ ∀ x, H x → P x) of never-solved statements after screening them for misformalisation; keep verified disproofs. Perturbing a true theorem does NOT guarantee falsity: any perturbed variant needs its own verified proof or disproof before it gets a label.",
   "~10",
   "critic gap",
   "Planned"
  ],
  [
   "G3",
   "Lean code-agent trajectories at SWE scale (Leanstral SFT 50%)",
   "OProver/OProofs per-theorem repair trajectories (6.8M rows); small RRMA/Erdos sets; non-Lean SWE traces (SWE-Gym, SWE-smith). OProofs trajectory subset UNCONFIRMED; Goedel-LM/RL_dataset_V2 holds prompts/messages, not verified repairs.",
   "Generate our own: correction rounds (chain5) already produce (attempt, compiler error, repair) triples; log them as multi-turn traces in the chat format; mix with OProofs repair subset after decontamination.",
   "from 5.2/5.3",
   "critic gap",
   "Running (via WBS 5.2)"
  ],
  [
   "G4",
   "Rust->Lean (Aeneas) property / negation dataset",
   "None on HF. Dalek Bench (curve25519-dalek-lean-verify) and an Aeneas experience report exist; Verina, CLEVER, FVAPPS, vericoding are spec benchmarks, not Aeneas output.",
   "Run Charon+Aeneas on a small set of pure-Rust crates (no unsafe/IO); auto-generate properties from doc comments/tests; prove-or-negate with our prover; hand-validate every flag. This is the bug-finding study.",
   "~40",
   "critic gap; BUGFINDING_LIT_REVIEW.md",
   "Planned (WBS 9)"
  ],
  [
   "G5",
   "Leanstral bug-finding release (57 repos / 47 flags / 11 real / 5 new)",
   "Not public.",
   "Reproduce at small scale with baselines (plain LLM review, cargo-fuzz) on the same crates; report precision after property validation.",
   "in G4",
   "in-this-work-we-present-leanstral-a-series-of-generalist-code-agent-models-for",
   "Planned"
  ],
  [
   "G6",
   "Verifier exploit / reward-hacking corpus",
   "None public.",
   "Our P1 adversarial suite (61 cases) + red-team classes (axiom walk, lexer, meta) become a versioned regression set shipped with the paper.",
   "~2",
   "654c20c; redteam/false-accepts",
   "Running (WBS 3)"
  ],
  [
   "G7",
   "Lean token counts for a mid-training mix",
   "No source states Lean token totals.",
   "Out of scope (no mid-training). If revisited: tokenise Mathlib + Lean-Github with the Qwen3 tokenizer in streaming shards.",
   "-",
   "critic gap",
   "Out of scope"
  ],
  [
   "G8",
   "Mathlib-version alignment",
   "Most new Mathlib-derived sets target Mathlib 4.27-4.31; miniF2F-test header is Lean 4.9.0-rc1.",
   "Only use data that compiles under our pinned 4.9.0-rc1 toolchain: re-verify every SFT proof with the strict verifier before training; drop failures (this is also the quality filter). Compiling under 4.9 proves compatibility, not informal fidelity: record retained yield and domain loss per source.",
   "in 5.3",
   "critic gap",
   "Rule"
  ],
  [
   "G9",
   "GitHub-hosted candidates unconfirmed (API quota hit)",
   "vericoding (HF copy verified), curve25519-dalek-lean-verify unverified.",
   "Re-check with an authenticated gh CLI (`gh auth login`) before use.",
   "<1",
   "workflow log",
   "Open"
  ]
 ]
}