File size: 2,120 Bytes
41912a1 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 | #!/usr/bin/env python3
import json
import os
import re
import subprocess
import tempfile
from pathlib import Path
import requests
from tqdm import tqdm
ROOT = Path(__file__).resolve().parent.parent
LEAN_DIR = ROOT / "lean4"
SERVER = os.getenv("LEAN_LLM_SERVER", "http://localhost:8000/v1/completions")
def lean_statements() -> list[str]:
content = (LEAN_DIR / "MiniF2F.lean").read_text(encoding="utf-8")
matches = re.findall(r"theorem\s+.*?:=\s+by\s+sorry", content, flags=re.DOTALL)
return [m.strip() for m in matches]
def call_llm(stmt: str) -> list[dict]:
response = requests.post(
SERVER,
json={"prompt": stmt, "temperature": 0.0, "stop": ["<|user|>"]},
timeout=120,
)
response.raise_for_status()
text = response.json()["choices"][0]["text"].strip()
return json.loads(text) if text else []
def verify_with_lean(steps: list[dict]) -> bool:
with tempfile.NamedTemporaryFile(mode="w", suffix=".lean", dir=LEAN_DIR, delete=False, encoding="utf-8") as f:
f.write("import MiniF2F\n\n")
f.write("namespace Scratch\n\n")
for s in steps:
name = s.get("name", "h_main")
statement = s.get("statement", "True")
tactic = s.get("tactic", "sorry")
f.write(f"theorem {name} : {statement} := by\n {tactic}\n\n")
f.write("end Scratch\n")
tmp = Path(f.name)
try:
result = subprocess.run(
["lake", "env", "lean", str(tmp.name)],
cwd=LEAN_DIR,
capture_output=True,
text=True,
timeout=60,
)
return result.returncode == 0
finally:
if tmp.exists():
tmp.unlink()
def main() -> None:
stmts = lean_statements()
print(f"testing {len(stmts)} theorems")
passed = 0
for stmt in tqdm(stmts):
try:
steps = call_llm(stmt)
if verify_with_lean(steps):
passed += 1
except Exception as exc:
print(f"error: {exc}")
print(f"passed: {passed}/{len(stmts)}")
if __name__ == "__main__":
main()
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