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"""Grade one openai/math challenge with Comparator.
This runs as root in a separate verifier sandbox that never executed agent code. The only input the
agent controls is /logs/artifacts/submission.tar. Everything else comes from /tests (this task's
trusted challenge and Comparator config) and from the image.
Steps:
1. Unpack submission.tar, accepting only regular `Submission.lean` / `Submission/**.lean` files.
2. Lay out a fresh Lake project: the trusted lakefile, Challenge.lean from /tests, the submission,
and the image's prebuilt Mathlib (root-owned, read-only to the grader).
3. Run `lake env comparator config.json` as the unprivileged `grader` user, with no network.
Comparator builds Challenge and Submission inside landrun, checks that every listed theorem
has exactly the challenge's statement, that only the permitted axioms are used, and replays
the proof through the Lean kernel.
4. Kill everything the grader started, then write the verdict.
reward.txt is 1 only when Comparator prints its success line and exits 0. A rejected or
non-compiling submission scores 0. A broken grading setup (the trusted Challenge fails to build,
the network block cannot be installed) writes no reward, so Harbor reports an error instead of a
score.
"""
from __future__ import annotations
import json
import os
import pwd
import re
import shutil
import signal
import socket
import stat
import subprocess
import sys
import tarfile
import tempfile
import threading
import time
from pathlib import Path
TESTS = Path("/tests")
VERIFIER_DIR = Path("/logs/verifier")
SUBMISSION_TAR = Path("/logs/artifacts/submission.tar")
LEAN_ENV = Path("/opt/lean-env")
RUN_ROOT = Path("/var/lib/oai-grade")
GRADER = "grader"
SUCCESS_LINE = "Your solution is okay!"
GRADE_THREADS = "2"
SCRATCH_SWEEP_SEC = 15
# Lake and Comparator wording when a build process is killed for running out of memory.
OOM_MARKERS = ("Lean exited with code 137", "Child exited with 137")
MAX_FILES = 20_000
MAX_FILE_BYTES = 64 << 20
MAX_TOTAL_BYTES = 768 << 20
# Submission.lean, or Submission/A/B.lean where each component is a Lean identifier: it starts with
# a letter or `_` and continues with letters, digits (subscripts like `₁` included), `_`, `'`, `!`, `?`.
# Unicode is allowed because Lean identifiers allow it (openai/math has a module named `Kappa₁`).
_COMPONENT = r"[^\W\d][\w'!?]*"
MEMBER = re.compile(rf"^Submission(?:/{_COMPONENT})*\.lean$")
MEMBER_DIR = re.compile(rf"^Submission(?:/{_COMPONENT})*/?$")
LAKEFILE = """import Lake
open Lake DSL
package openai_math where
leanOptions := #[⟨`autoImplicit, false⟩]
require mathlib from git
"https://github.com/leanprover-community/mathlib4.git" @ "d13f23b723b8a846827a245b89c10fc7d3f11612"
lean_lib Challenge
-- `Submission` and every `Submission.*` module it imports.
lean_lib Submission
"""
class Rejected(Exception):
"""The submission is invalid: reward 0."""
class GradingError(Exception):
"""The grading setup is broken: no reward, so the trial shows as errored."""
def toolchain_bin() -> Path:
bins = sorted(Path("/opt/elan/toolchains").glob("*/bin"))
if len(bins) != 1:
raise GradingError(f"expected one Lean toolchain, found {bins}")
return bins[0]
def unpack_submission(dest: Path) -> dict:
"""Copy the submission's .lean files into ``dest``; reject anything else."""
try:
st = SUBMISSION_TAR.lstat()
except FileNotFoundError:
raise Rejected("no submission: /workspace/Submission.lean was not found after the agent finished")
if not SUBMISSION_TAR.is_file() or SUBMISSION_TAR.is_symlink() or st.st_size > MAX_TOTAL_BYTES + (64 << 20):
raise Rejected("submission archive is not a regular file of acceptable size")
files, total = [], 0
try:
with tarfile.open(SUBMISSION_TAR, "r:") as tar:
for count, member in enumerate(tar):
if count > MAX_FILES * 2:
raise Rejected(f"submission has more than {MAX_FILES} entries")
name = member.name.removeprefix("./")
if member.isdir():
if not MEMBER_DIR.match(name):
raise Rejected(f"unexpected directory in submission: {name!r}")
continue
if not member.isreg():
raise Rejected(f"only regular .lean files are accepted, got {name!r}")
if not MEMBER.match(name):
raise Rejected(f"unexpected file in submission: {name!r} (only Submission.lean and Submission/**.lean)")
if member.size > MAX_FILE_BYTES:
raise Rejected(f"{name} is larger than {MAX_FILE_BYTES >> 20} MB")
total += member.size
if total > MAX_TOTAL_BYTES or len(files) >= MAX_FILES:
raise Rejected("submission is too large")
data = tar.extractfile(member).read(MAX_FILE_BYTES + 1)
try:
data.decode("utf-8")
except UnicodeDecodeError:
raise Rejected(f"{name} is not valid UTF-8")
target = dest / name
if target.exists():
raise Rejected(f"duplicate entry {name!r}")
target.parent.mkdir(parents=True, exist_ok=True)
target.write_bytes(data)
target.chmod(0o644)
files.append(name)
except tarfile.TarError as exc:
raise Rejected(f"submission archive is unreadable: {exc}")
if "Submission.lean" not in files:
raise Rejected("no submission: /workspace/Submission.lean was not found after the agent finished")
for d in (dest / "Submission",):
if d.exists():
for p in [d, *d.rglob("*")]:
if p.is_dir():
p.chmod(0o755)
return {"files": len(files), "bytes": total}
def write_project(run: Path, config: dict) -> None:
(run / "lakefile.lean").write_text(LAKEFILE)
shutil.copy(LEAN_ENV / "lake-manifest.json", run / "lake-manifest.json")
shutil.copy(LEAN_ENV / "lean-toolchain", run / "lean-toolchain")
shutil.copy(TESTS / "Challenge.lean", run / "Challenge.lean")
comparator_config = {
"challenge_module": "Challenge",
"solution_module": "Submission",
"theorem_names": config["theorem_names"],
"definition_names": config["definition_names"],
"permitted_axioms": config["permitted_axioms"],
"enable_nanoda": False,
}
(run / "config.json").write_text(json.dumps(comparator_config, indent=2))
lake = run / ".lake"
lake.mkdir()
(lake / "packages").symlink_to(LEAN_ENV / ".lake" / "packages")
for p in run.iterdir():
if p.name != ".lake":
os.chmod(p, 0o644 if p.is_file() else 0o755, follow_symlinks=False)
uid = pwd.getpwnam(GRADER).pw_uid
os.chown(lake, uid, uid)
os.chmod(run, 0o755)
def fresh_run(task: dict) -> Path:
"""A new, empty Lake project for one grading attempt."""
run = Path(tempfile.mkdtemp(prefix="run.", dir=RUN_ROOT))
write_project(run, task["comparator"])
return run
def ensure_readable(roots: tuple[str, ...] = ("/opt/elan", str(LEAN_ENV))) -> int:
"""Make the prebuilt toolchain and packages readable by the grader (never writable).
The image already does this; this only repairs an image built without it. It must touch
nothing that is already right: these files live in the image's lower overlay layer, and a
`chmod` on one copies it whole into the sandbox's writable layer. A blanket `chmod -R` took
535 s and used 8.7 GB of the 10 GB working disk. This walk only reads metadata (lstat).
Returns the number of entries changed.
"""
changed = 0
for root in roots:
for dirpath, dirnames, filenames in os.walk(root, followlinks=False):
for name in [*dirnames, *filenames]:
path = os.path.join(dirpath, name)
st = os.lstat(path)
if stat.S_ISDIR(st.st_mode):
want = (st.st_mode | 0o555) & ~0o022
elif stat.S_ISREG(st.st_mode):
want = (st.st_mode | 0o444) & ~0o022
else:
continue
if stat.S_IMODE(st.st_mode) != stat.S_IMODE(want):
os.chmod(path, stat.S_IMODE(want))
changed += 1
return changed
def block_grader_network() -> None:
"""Reject every socket the grader user opens, loopback included.
landrun already denies TCP to the sandboxed build. This rule also covers the grader's own
processes outside landrun and services listening inside the sandbox.
"""
uid = str(pwd.getpwnam(GRADER).pw_uid)
for tool in ("iptables", "ip6tables"):
rule = ["OUTPUT", "-m", "owner", "--uid-owner", uid, "-j", "REJECT"]
if subprocess.run([tool, "-C", *rule], capture_output=True).returncode == 0:
continue
res = subprocess.run([tool, "-I", *rule], capture_output=True, text=True)
if res.returncode != 0:
raise GradingError(f"cannot install the {tool} rule for {GRADER}: {res.stderr.strip()}")
probe = subprocess.run(
["runuser", "-u", GRADER, "--", sys.executable, "-c",
"import socket,sys\n"
"s=socket.socket(); s.settimeout(3)\n"
"sys.exit(0 if s.connect_ex(('127.0.0.1', 2280)) == 0 else 1)"],
capture_output=True,
)
if probe.returncode == 0:
raise GradingError("the grader user can still open loopback connections")
def kill_grader() -> None:
for _ in range(20):
subprocess.run(["pkill", "-9", "-u", GRADER], capture_output=True)
if subprocess.run(["pgrep", "-u", GRADER], capture_output=True).returncode != 0:
return
time.sleep(0.5)
raise GradingError("could not stop the grader's processes")
def out_of_memory(out: str) -> bool:
return any(m in out for m in OOM_MARKERS)
def out_of_disk(out: str) -> bool:
return "no space left on device" in out.lower()
# Run as the grader user by `empty_build_scratch`. argv: the .lake/build/ir directory.
EMPTY_SCRATCH = r"""
import os, sys
for dirpath, _, files in os.walk(sys.argv[1]):
for name in files:
if not name.endswith(".setup.json"):
continue
base = os.path.join(dirpath, name[:-len(".setup.json")])
try:
# Lake writes X.c.hash once Lean, and leanir if the module needs it, are done with X;
# both read X.setup.json, so it may only be emptied after that.
if os.stat(base + ".c.hash").st_mtime < os.stat(base + ".setup.json").st_mtime:
continue
for path in (base + ".setup.json", base + ".c"):
if os.path.getsize(path):
os.truncate(path, 0)
except OSError:
pass
"""
def empty_build_scratch(run: Path, stop: threading.Event) -> None:
"""Until ``stop`` is set, empty files Lake leaves in .lake/build/ir that grading never reads.
For every module Lake writes a `.setup.json` (its imports with the path of every .olean they
pull in, about 5.5 MB with Mathlib) and the module compiled to C. Neither is used once the
module is built, and for proofs of 1,000-2,000 modules they filled the 10 GB disk before the
build finished. Lake keeps the recorded hashes, so emptied files do not trigger a rebuild.
This runs as the grader user, so it can touch nothing the build could not.
"""
ir = str(run / ".lake" / "build" / "ir")
while not stop.wait(SCRATCH_SWEEP_SEC):
try:
subprocess.run(["runuser", "-u", GRADER, "--", sys.executable, "-c", EMPTY_SCRATCH, ir],
capture_output=True, timeout=600)
except subprocess.TimeoutExpired:
pass
def run_comparator(run: Path, timeout_sec: int, threads: str = GRADE_THREADS) -> tuple[int | None, str]:
env = {
"PATH": f"{toolchain_bin()}:/usr/local/bin:/usr/bin:/bin",
"HOME": str(run),
"LANG": "C.UTF-8",
"LEAN_ABORT_ON_PANIC": "1",
# Lean sees every host CPU, not the sandbox's 4; bound Lake's parallel builds so a large
# proof fits in 8 GB. Needs the image's Comparator, which passes this into landrun.
"LEAN_NUM_THREADS": threads,
}
cmd = [
"runuser", "-u", GRADER, "--", "env", "-i", *(f"{k}={v}" for k, v in env.items()),
"lake", "env", "comparator", "config.json",
]
stop = threading.Event()
sweeper = threading.Thread(target=empty_build_scratch, args=(run, stop), daemon=True)
sweeper.start()
try:
code, stdout, stderr = run_with_timeout(
cmd, cwd=run, timeout_sec=timeout_sec,
kill_extra=lambda: subprocess.run(["pkill", "-9", "-u", GRADER], capture_output=True),
)
finally:
stop.set()
sweeper.join()
return code, stdout + "\n--- stderr ---\n" + stderr
def run_with_timeout(cmd: list[str], cwd: Path, timeout_sec: int, kill_extra=None) -> tuple[int | None, str, str]:
"""Run ``cmd``; on timeout kill its whole process tree and return code None.
`timeout(1)` only signals its direct child, so Lean processes started by Lake under landrun
kept the output pipe open and the grader waited past Harbor's own limit. Here the command
gets its own session; on timeout its process group is killed, and ``kill_extra`` (every
process of the grader user) catches anything that left the group.
"""
proc = subprocess.Popen(cmd, cwd=cwd, stdout=subprocess.PIPE, stderr=subprocess.PIPE,
text=True, errors="replace", start_new_session=True)
try:
stdout, stderr = proc.communicate(timeout=timeout_sec)
return proc.returncode, stdout, stderr
except subprocess.TimeoutExpired:
try:
os.killpg(proc.pid, signal.SIGKILL)
except ProcessLookupError:
pass
if kill_extra:
kill_extra()
stdout, stderr = proc.communicate()
return None, stdout, stderr
def classify(code: int | None, out: str) -> tuple[int | None, str]:
"""Map Comparator's result to (reward, reason). reward None means a grading error."""
if code == 0 and SUCCESS_LINE in out:
return 1, "accepted: statements match, only permitted axioms, kernel replay passed"
if "Building Submission" not in out:
# Comparator stopped before it touched the submission: the trusted challenge or the
# toolchain is broken (or too slow), which says nothing about the agent's proof.
return None, ("timed out before the submission was built" if code is None
else "the trusted Challenge failed to build or export")
if code is None:
return 0, "timed out while building or checking the submission"
tail = [l for l in out.splitlines() if l.strip() and "has local changes" not in l][-25:]
if out_of_disk(out):
return 0, "rejected: the build ran out of disk space (10 GB) | " + " | ".join(tail)[-3000:]
if out_of_memory(out):
return 0, "rejected: the build was killed, most likely out of memory (8 GB) | " + " | ".join(tail)[-3000:]
return 0, "rejected: " + " | ".join(tail)[-4000:]
def main() -> int:
VERIFIER_DIR.mkdir(parents=True, exist_ok=True)
os.chmod(VERIFIER_DIR, 0o755)
for name in ("reward.txt", "reward.json"):
(VERIFIER_DIR / name).unlink(missing_ok=True)
task = json.loads((TESTS / "task.json").read_text())
details: dict = {"task": task["challenge"], "started_at": time.time()}
reward: int | None = None
log = ""
try:
RUN_ROOT.mkdir(mode=0o711, parents=True, exist_ok=True)
deadline = time.time() + int(task["grade_timeout_sec"])
run = fresh_run(task)
details["permission_fixes"] = ensure_readable()
block_grader_network()
details["submission"] = unpack_submission(run)
code, out = run_comparator(run, int(deadline - time.time()))
log = out
kill_grader()
if code not in (0, None) and out_of_memory(out) and deadline - time.time() > 60:
# Two Lean processes in parallel can exceed 8 GB on a heavy module. Retry once with one,
# in a fresh directory: the first attempt's .lake was written by the submission's own
# build and must not be trusted for the challenge.
shutil.rmtree(run, ignore_errors=True)
run = fresh_run(task)
unpack_submission(run)
code, out = run_comparator(run, int(deadline - time.time()), threads="1")
log += "\n\n=== retried with one Lean process after running out of memory ===\n\n" + out
kill_grader()
details["retried_single_thread"] = True
reward, details["reason"] = classify(code, out)
details["comparator_exit"] = code
except Rejected as exc:
reward, details["reason"] = 0, f"rejected: {exc}"
except GradingError as exc:
reward, details["reason"] = None, f"grading error: {exc}"
except Exception as exc:
reward, details["reason"] = None, f"grading error: {type(exc).__name__}: {exc}"
finally:
try:
kill_grader()
except GradingError as exc:
reward, details["reason"] = None, f"grading error: {exc}"
# Free the build before writing anything. A build that filled the disk would otherwise
# make these writes fail, and with no space left the sandbox cannot report that the
# verifier exited, so Harbor waits until its own timeout and records no verdict.
shutil.rmtree(RUN_ROOT, ignore_errors=True)
details["reward"] = reward
details["finished_at"] = time.time()
(VERIFIER_DIR / "comparator.log").write_text(log)
(VERIFIER_DIR / "grading.json").write_text(json.dumps(details, indent=2))
print(json.dumps(details, indent=2))
if reward is not None:
(VERIFIER_DIR / "reward.txt").write_text(f"{reward}\n")
return 0
if __name__ == "__main__":
sys.exit(main())
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