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"""Build the P2 SFT shard set from Generation + Verification JSONL (expert iteration).
.venv/bin/python scripts/p2/build_sft_data.py \\
--generations gens_r0.jsonl gens_r1.jsonl --verifications ver_r0.jsonl ver_r1.jsonl \\
--problems train_pool.jsonl --eval-problems minif2f.jsonl mobench.jsonl \\
--cap-tokens 16384 --out-dir DATA_DIR
Writes `DATA_DIR/shards/sft/train/sft-train-NNNN.*` through `align.data.store.ShardWriter` (the
layout `align.train.stage_smoke.resolve_split_dir` discovers, so `scripts/sft.py` reads it
unchanged), `DATA_DIR/manifest.json` (counts by source / round / kind, token totals, hashes)
and `DATA_DIR/selection.jsonl` (which sample became which row, and why others did not).
What is trained
(a) kind "first": accepted round-0 samples;
(b) kind "correction": accepted round>0 samples whose prompt, AS GENERATED, already carries
the failed attempt and its Lean errors.
Rows are `prompt_ids + completion_ids` EXACTLY as sampled: nothing is re-tokenised. Re-encoding
text would change the token sequence the policy was sampled from (BPE is not a bijection on
text), and the training signal would no longer be the sampled distribution. The loss mask is the
store's `prompt_len` extra: `collate_sft` labels positions [prompt_len, L) and nothing before,
which is the completion exactly; `readback_check` re-opens the finished shards and asserts it
for every row.
Defects each rule prevents
* eval leakage: `--problems` must be the TRAINING pool; any generation for a problem that is not
in it, or whose statement sha is in an `--eval-problems` file, RAISES.
* stale verdicts: a verification record whose `code_sha256` differs from the generation's code
raises (the generation file was regenerated under the same keys).
* cap mixing: only `--cap-tokens` is used (required, never defaulted); samples at another cap
are counted and skipped, so a 40960-cap reference run cannot leak into the 16384 training set.
* too-easy problems (8/8 at round 0) carry no learning signal and crowd the mix: excluded unless
`--keep-easy`.
* a correction example whose prompt does NOT contain the failed attempt would teach "write the
answer to an unrelated error message": dropped and counted (`correction_prompt_incomplete`);
one whose parent was in fact ACCEPTED is dropped (`correction_parent_not_failed`).
* length-truncated or EOS-less completions would teach never to stop: dropped; `--allow-no-eos`
is the explicit override.
* an ACCEPTED sample whose displayed theorem is not the problem's statement (`problem_check`
swaps the original in before verification, so tactics that prove the original are credited even
when the model wrote a different, possibly false, theorem above them) would teach the model to
state the wrong theorem: dropped and counted (`drop_statement_not_faithful`). The evaluation
keeps Goedel's crediting rule (comparability); only the TRAINING selection is stricter.
* duplicates: distinct proofs (whitespace/comment-insensitive hash) are preferred; duplicates
only fill the cap with `--fill-duplicates`.
"""
from __future__ import annotations
import argparse
import importlib.util
import json
import logging
import sys
from collections import Counter, defaultdict
from pathlib import Path
from typing import Optional
REPO = Path(__file__).resolve().parents[2]
sys.path.insert(0, str(REPO))
def _load_common():
spec = importlib.util.spec_from_file_location("p2_common", Path(__file__).with_name("p2_common.py"))
mod = importlib.util.module_from_spec(spec)
sys.modules["p2_common"] = mod
spec.loader.exec_module(mod)
return mod
C = sys.modules.get("p2_common") or _load_common()
log = logging.getLogger("p2.sft_data")
BUILD_VERSION = 2 # `assert_build_is_current` floor (cfg.gates.min_build_version); see docs/P2.md
ROWS_PER_SHARD = 2000
EASY_MIN_SAMPLES = 8
class SelectionError(C.ContractError):
pass
def _norm_ws(s: str) -> str:
return " ".join(s.split())
# =========================================================================== pass 1: index
class Index:
"""Light per-sample metadata (no token lists): the full records are re-read by byte offset in
pass 2, so memory is O(samples), not O(tokens)."""
def __init__(self) -> None:
self.loc: dict[tuple, tuple[int, int]] = {} # key -> (file index, byte offset)
self.meta: dict[tuple, dict] = {}
self.files: list[str] = []
def scan_generations(gen_paths, cap_tokens: int, counts: Counter) -> Index:
idx = Index()
for fi, path in enumerate(gen_paths):
idx.files.append(str(path))
with open(path, "rb") as f:
off = 0
for lineno, raw in enumerate(f, 1):
here, off = off, off + len(raw)
if not raw.strip():
continue
try:
rec = json.loads(raw)
except json.JSONDecodeError as e:
raise C.ContractError(f"{path}:{lineno}: malformed JSON ({e.msg})") from e
C.validate_generation(rec)
key = C.gen_key(rec)
if key in idx.loc:
raise C.ContractError(f"{path}:{lineno}: duplicate generation key {key}")
counts["generations_read"] += 1
if rec["cap_tokens"] != cap_tokens:
counts["skipped_other_cap"] += 1
continue
idx.loc[key] = (fi, here)
idx.meta[key] = {
"finish_reason": rec["finish_reason"],
"code_sha": C.code_sha(rec["lean_code"]),
"proof_hash": C.proof_hash(rec["lean_code"]) if rec["lean_code"] and rec["lean_code"].strip() else None,
"n_prompt": len(rec["prompt_ids"]),
"n_completion": len(rec["completion_ids"]),
"last_token": rec["completion_ids"][-1],
"parent": rec["parent"],
"model_rev": rec["model_rev"],
}
return idx
def read_at(idx: Index, key: tuple) -> dict:
fi, off = idx.loc[key]
with open(idx.files[fi], "rb") as f:
f.seek(off)
return json.loads(f.readline())
def load_verifications(paths, idx: Index, cap_tokens: int, counts: Counter) -> dict[tuple, dict]:
ver: dict[tuple, dict] = {}
for p in paths:
for rec in C.iter_jsonl(p):
key = C.gen_key(rec)
if key[3] != cap_tokens:
counts["verifications_other_cap"] += 1
continue
if key in ver:
raise C.ContractError(f"{p}: duplicate verification key {key} across files")
if key not in idx.meta:
raise C.ContractError(f"{p}: verification {key} has no generation in the given generation files")
m = idx.meta[key]
if rec["code_sha256"] != m["code_sha"]:
raise C.ContractError(
f"{p}: stale verification for {key}: code_sha256 {rec['code_sha256']} != generation's {m['code_sha']}"
)
ver[key] = rec
missing = [k for k in idx.meta if k not in ver]
if missing:
raise C.ContractError(f"{len(missing)} generations have no verification record (first: {missing[0]}); verify first")
return ver
# =========================================================================== selection
def eos_ids_for(model_path: str) -> set[int]:
"""EOS token ids from the model's config.json / generation_config.json."""
out: set[int] = set()
for name in ("config.json", "generation_config.json"):
p = Path(model_path) / name
if p.exists():
v = json.loads(p.read_text()).get("eos_token_id")
if isinstance(v, int):
out.add(v)
elif isinstance(v, list):
out |= {int(x) for x in v}
if not out:
raise SelectionError(f"no eos_token_id found under {model_path}; pass --eos-ids")
return out
def select(idx: Index, ver: dict[tuple, dict], problems: dict[str, dict], a, counts: Counter, eos: set[int]):
"""-> (selected [(key, kind)], per_problem stats, dropped log)."""
by_problem: dict[str, list[tuple]] = defaultdict(list)
for key in idx.meta:
by_problem[key[0]].append(key)
selected: list[tuple[tuple, str]] = []
pstats: dict[str, dict] = {}
dropped: list[dict] = []
for pid in sorted(by_problem):
keys = sorted(by_problem[pid], key=lambda k: (k[2], k[1]))
r0 = [k for k in keys if k[2] == 0]
n0, c0 = len(r0), sum(1 for k in r0 if ver[k]["accepted"])
st = {"n_round0": n0, "accepted_round0": c0, "selected": 0, "easy_excluded": False}
pstats[pid] = st
if n0 >= EASY_MIN_SAMPLES and c0 == n0 and not a.keep_easy:
st["easy_excluded"] = True
counts["easy_problems_excluded"] += 1
counts["easy_samples_excluded"] += c0
continue
corr, first = [], []
for k in keys:
if not ver[k]["accepted"]:
continue
m = idx.meta[k]
why = _reject_sample(k, m, a, eos)
if why is None and not C.displayed_statement_matches(problems[pid]["formal_statement"], read_at(idx, k)["completion_text"]):
why = "statement_not_faithful"
if why is not None:
counts[f"drop_{why}"] += 1
dropped.append({"key": list(k), "why": why})
continue
if k[2] == 0:
first.append(k)
else:
why = _check_correction(idx, ver, k)
if why is not None:
counts[f"drop_{why}"] += 1
dropped.append({"key": list(k), "why": why})
continue
corr.append(k)
if getattr(a, "rank", "order") == "shortest":
# expert-iteration keep rule: among accepted samples prefer the shortest completion (ties: key order)
first.sort(key=lambda k: (idx.meta[k]["n_completion"], k))
corr.sort(key=lambda k: (idx.meta[k]["n_completion"], k))
chosen: list[tuple[tuple, str]] = []
seen_hash: set[str] = set()
def room(kind: str, kind_limit: int) -> bool:
return len(chosen) < a.max_per_problem and sum(1 for _, kd in chosen if kd == kind) < kind_limit
# Corrections first (rarer, and the only source of the self-correction skill), then
# first attempts; within a kind, distinct proofs before any duplicate.
for kind, cands, kind_limit in (("correction", corr, a.max_correction_per_problem), ("first", first, a.max_per_problem)):
for k in cands:
h = idx.meta[k]["proof_hash"]
if room(kind, kind_limit) and h not in seen_hash:
seen_hash.add(h)
chosen.append((k, kind))
if a.fill_duplicates:
for k in cands:
if room(kind, kind_limit) and (k, kind) not in chosen:
chosen.append((k, kind))
n_acc = len(corr) + len(first)
counts["accepted_candidates"] += n_acc
counts["not_selected_cap_or_duplicate"] += n_acc - len(chosen)
st["selected"] = len(chosen)
selected += chosen
return selected, pstats, dropped
def _reject_sample(k: tuple, m: dict, a, eos: set[int]) -> Optional[str]:
if m["finish_reason"] != "stop":
return "finish_reason_not_stop" # an accepted length-capped sample cannot exist; belt and braces
if m["proof_hash"] is None:
return "accepted_without_code"
if not a.allow_no_eos and m["last_token"] not in eos:
return "completion_lacks_eos"
if a.max_seq_len is not None and m["n_prompt"] + m["n_completion"] > a.max_seq_len:
return "over_max_seq_len"
return None
def _check_correction(idx: Index, ver: dict[tuple, dict], key: tuple) -> Optional[str]:
m = idx.meta[key]
par = m["parent"]
pkey = (par["problem_id"], int(par["sample_idx"]), int(par["round"]), key[3])
if pkey not in idx.meta:
raise SelectionError(f"correction {key} names parent {pkey} which is not among the generations at this cap")
if ver[pkey]["accepted"]:
return "correction_parent_not_failed"
child, parent = read_at(idx, key), read_at(idx, pkey)
prompt = _norm_ws(child["prompt_text"])
tail = _norm_ws(parent["completion_text"])[-200:]
if not tail or tail not in prompt or "rror" not in prompt:
return "correction_prompt_incomplete"
return None
# =========================================================================== write
def write_shards(out_dir: Path, idx: Index, selected, problems: dict[str, dict], held: set[str]):
from align.data.store import ShardWriter
dirs = {"train": out_dir / "shards" / "sft" / "train", "held": out_dir / "shards" / "sft" / "held"}
writers: dict[str, ShardWriter] = {}
nrows: Counter = Counter()
receipts: dict[str, list] = defaultdict(list)
sel_log = []
def writer(split: str) -> ShardWriter:
w = writers.get(split)
if w is None or w.n_rows >= ROWS_PER_SHARD:
if w is not None:
receipts[split].append(w.finalize())
w = writers[split] = ShardWriter(dirs[split], f"sft-{split}-{len(receipts[split]):04d}")
return w
toks = Counter()
by: Counter = Counter()
for key, kind in selected:
rec = read_at(idx, key)
pid = key[0]
split = "held" if pid in held else "train"
ids = rec["prompt_ids"] + rec["completion_ids"]
src = problems[pid]["source"]
writer(split).add_row(
ids,
problem_id=pid,
subject=src,
boundary_positions=[],
prompt_len=len(rec["prompt_ids"]),
kind=kind,
round=key[2],
sample_idx=key[1],
cap_tokens=key[3],
n_completion=len(rec["completion_ids"]),
proof_sha=idx.meta[key]["proof_hash"],
model_rev=rec["model_rev"],
)
nrows[split] += 1
toks[f"{split}_prompt_tokens"] += len(rec["prompt_ids"])
toks[f"{split}_completion_tokens"] += len(rec["completion_ids"])
by[f"{split}/{src}/round{key[2]}/{kind}"] += 1
sel_log.append({"key": list(key), "kind": kind, "split": split})
for split, w in writers.items():
receipts[split].append(w.finalize())
return receipts, nrows, toks, by, sel_log
def readback_check(out_dir: Path, idx: Index, selected, held: set[str]) -> int:
"""Re-open the written shards and assert, for EVERY row, that the stored tokens equal the
sampled prompt+completion and that the loss mask (as `collate_sft` builds it) covers exactly
the completion positions. Returns the number of rows checked."""
import numpy as np
from align.data.loader import collate_sft
from align.data.store import ShardDataset
n = 0
for split in ("train", "held"):
d = out_dir / "shards" / "sft" / split
want = [(k, kd) for k, kd in selected if (k[0] in held) == (split == "held")]
if not want:
continue
ds = ShardDataset(d)
if len(ds) != len(want):
raise SelectionError(f"{split}: {len(ds)} stored rows != {len(want)} selected")
for i, (key, _kind) in enumerate(want):
rec = read_at(idx, key)
row = ds[i]
p = len(rec["prompt_ids"])
if not np.array_equal(row.input_ids, np.asarray(rec["prompt_ids"] + rec["completion_ids"], dtype=row.input_ids.dtype)):
raise SelectionError(f"{key}: stored tokens differ from the sampled prompt+completion")
if int(row.extras["prompt_len"]) != p:
raise SelectionError(f"{key}: prompt_len {row.extras['prompt_len']} != {p}")
lab = collate_sft([row], pad_token_id=0).labels[0].numpy()
if not (np.all(lab[:p] == -100) and np.array_equal(lab[p:], row.input_ids[p:].astype(lab.dtype))):
raise SelectionError(f"{key}: loss mask is not exactly the completion span")
n += 1
return n
# =========================================================================== CLI
def main(argv=None) -> int:
ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter)
ap.add_argument("--generations", nargs="+", required=True)
ap.add_argument("--verifications", nargs="+", required=True)
ap.add_argument("--problems", nargs="+", required=True, help="TRAINING pool Problem JSONL (split must be train)")
ap.add_argument("--eval-problems", nargs="+", required=True, help="evaluation Problem JSONL; none of their statements may appear in --problems")
ap.add_argument("--cap-tokens", type=int, required=True, help="only samples generated at this cap are used (no default on purpose)")
ap.add_argument("--out-dir", required=True)
ap.add_argument("--max-per-problem", type=int, default=4)
ap.add_argument("--max-correction-per-problem", type=int, default=1, help="slots reserved for correction examples inside --max-per-problem")
ap.add_argument("--keep-easy", action="store_true", help="keep problems solved n/n at round 0 (n >= 8)")
ap.add_argument("--rank", choices=("order", "shortest"), default="order",
help="which accepted samples win the per-problem cap: sampling order (default) or shortest completion first")
ap.add_argument("--fill-duplicates", action="store_true", help="fill the cap with duplicate proofs when distinct ones run out")
ap.add_argument("--max-seq-len", type=int, default=None, help="drop (never truncate) rows longer than this")
ap.add_argument("--allow-no-eos", action="store_true")
ap.add_argument("--eos-ids", type=int, nargs="*", default=None)
ap.add_argument("--held-frac", type=float, default=0.0, help="fraction of PROBLEMS (not rows) routed to a held-out split")
ap.add_argument("--seed", type=int, default=0)
a = ap.parse_args(argv)
logging.basicConfig(level=logging.INFO, format="%(asctime)s %(levelname)s %(name)s: %(message)s")
out = Path(a.out_dir).resolve()
if not str(out).startswith("/apps/"):
raise SystemExit(f"--out-dir {out} must be on /apps")
if out.exists() and any(out.iterdir()):
raise SystemExit(f"{out} is not empty: refusing to mix shards from two builds")
if a.max_correction_per_problem > a.max_per_problem or a.max_per_problem < 1:
raise SystemExit("need 1 <= max-correction-per-problem <= max-per-problem")
problems: dict[str, dict] = {}
for p in a.problems:
problems.update(C.load_problems(p))
bad = [pid for pid, r in problems.items() if r["split"] != "train"]
if bad:
raise SelectionError(f"{len(bad)} problems in --problems are not split=train (first: {bad[0]})")
eval_sha: set[str] = set()
for p in a.eval_problems:
eval_sha |= {r["statement_sha"] for r in C.load_problems(p).values()}
leaked = [pid for pid, r in problems.items() if r["statement_sha"] in eval_sha]
if leaked:
raise SelectionError(f"{len(leaked)} training problems share a statement with an eval set (first: {leaked[0]})")
counts: Counter = Counter()
idx = scan_generations(a.generations, a.cap_tokens, counts)
if not idx.meta:
raise SelectionError(f"no generations at cap_tokens={a.cap_tokens}")
foreign = sorted({k[0] for k in idx.meta} - set(problems))
if foreign:
raise SelectionError(f"{len(foreign)} generated problems are not in the training pool (first: {foreign[0]}): refusing to train on them")
ver = load_verifications(a.verifications, idx, a.cap_tokens, counts)
revs = {m["model_rev"] for m in idx.meta.values()}
model_paths = {read_at(idx, next(iter(idx.loc)))["model_path"]}
eos = set(a.eos_ids) if a.eos_ids else eos_ids_for(next(iter(model_paths)))
selected, pstats, dropped = select(idx, ver, problems, a, counts, eos)
if not selected:
raise SelectionError("nothing selected: check the verification file (all rejected?) and the filters; counts=" + json.dumps(dict(counts)))
import hashlib
held: set[str] = set()
if a.held_frac > 0:
for pid in {k[0] for k, _ in selected}:
if int(hashlib.sha256(f"{a.seed}|held|{pid}".encode()).hexdigest(), 16) % 10_000 < a.held_frac * 10_000:
held.add(pid)
out.mkdir(parents=True, exist_ok=True)
try:
receipts, nrows, toks, by, sel_log = write_shards(out, idx, selected, problems, held)
n_checked = readback_check(out, idx, selected, held)
except BaseException:
import shutil
shutil.rmtree(out / "shards", ignore_errors=True) # a half-written shard set looks usable
raise
total = sum(nrows.values())
sum_receipt = sum(r.n_rows for rs in receipts.values() for r in rs)
if not (total == len(selected) == sum_receipt == n_checked):
raise SelectionError(f"row accounting differs: selected {len(selected)}, written {total}, receipts {sum_receipt}, read back {n_checked}")
(out / "selection.jsonl").write_text("".join(json.dumps(r) + "\n" for r in sel_log))
(out / "dropped.jsonl").write_text("".join(json.dumps(r) + "\n" for r in dropped))
manifest = {
"build_kind": "p2_sft",
"build_version": BUILD_VERSION,
"pins_verified": True, # the row accounting above reconciled; there are no corpus pins in P2
"pin_violations": [],
"cap_tokens": a.cap_tokens,
"params": {k: getattr(a, k) for k in ("max_per_problem", "max_correction_per_problem", "keep_easy", "fill_duplicates",
"max_seq_len", "allow_no_eos", "held_frac", "seed", "rank")},
"eos_ids": sorted(eos),
"model_revs": sorted(revs),
"rows": {"total": total, **{s: nrows[s] for s in ("train", "held")}},
"rows_by_split_source_round_kind": dict(sorted(by.items())),
"tokens": dict(toks),
"problems": {"with_rows": len({k[0] for k, _ in selected}), "in_pool": len(problems), "seen_in_generations": len(pstats),
"easy_excluded": counts["easy_problems_excluded"], "held_problems": len(held)},
"counts": dict(counts),
"inputs": {"generations": {str(p): C.sha256_file(p) for p in a.generations},
"verifications": {str(p): C.sha256_file(p) for p in a.verifications},
"problems": {str(p): C.sha256_file(p) for p in a.problems},
"eval_problems": {str(p): C.sha256_file(p) for p in a.eval_problems}},
"shards": {s: [r.to_json() for r in rs] for s, rs in receipts.items()},
"readback_rows_checked": n_checked,
}
(out / "manifest.json").write_text(json.dumps(manifest, indent=1))
print(json.dumps({"rows": manifest["rows"], "tokens": manifest["tokens"], "counts": manifest["counts"]}))
return 0
if __name__ == "__main__":
raise SystemExit(main())
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