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"""Run a LeanBridge-style retrieve-generate-verify loop on LeanCat."""
from __future__ import annotations
import argparse
import asyncio
import json
import os
import re
import subprocess
import sys
import traceback
from typing import Any
from eval_common import (
ROOT,
add_common_args,
chat_completion,
extract_lean_code,
load_problem,
load_prompt,
log,
now_seconds,
problem_ids,
render_prompt,
verify_lean,
write_json,
)
SEARCH_RE = re.compile(r"\[SEARCH:\s*(.*?)\]", flags=re.DOTALL)
LOCAL_SEARCH_SERVICE: Any | None = None
def get_local_search_service() -> Any:
global LOCAL_SEARCH_SERVICE
if LOCAL_SEARCH_SERVICE is not None:
return LOCAL_SEARCH_SERVICE
try:
from lean_explore.search import Service
except ImportError as exc:
raise RuntimeError(
"lean-explore local backend is not importable in this Python environment. "
"Install it with `pip install lean-explore[local]` and run `lean-explore data fetch`, "
"or use `--search-backend none` / `--search-backend command`."
) from exc
try:
log("initializing LeanExplore local Service")
LOCAL_SEARCH_SERVICE = Service()
log("LeanExplore local Service initialized")
except FileNotFoundError as exc:
raise RuntimeError(
"LeanExplore local data files were not found. Run `lean-explore data fetch` "
"in the same Python environment before using `--search-backend local`, "
"or use `--search-backend none`."
) from exc
return LOCAL_SEARCH_SERVICE
def close_local_search_service() -> None:
global LOCAL_SEARCH_SERVICE
service = LOCAL_SEARCH_SERVICE
LOCAL_SEARCH_SERVICE = None
if service is None:
return
for method_name in ("close", "shutdown"):
method = getattr(service, method_name, None)
if callable(method):
log(f"closing LeanExplore local Service via {method_name}()")
result = method()
if asyncio.iscoroutine(result):
asyncio.run(result)
return
log("LeanExplore local Service has no close/shutdown method; releasing reference")
def _field(item: Any, name: str, default: str = "") -> str:
value = getattr(item, name, None)
if value is None and isinstance(item, dict):
value = item.get(name)
if value is None:
return default
return str(value)
def format_search_results(results: list[Any]) -> str:
blocks = []
for index, item in enumerate(results, start=1):
name = _field(item, "name") or _field(item, "title") or _field(item, "id", "unknown")
module = _field(item, "module") or _field(item, "source_file")
docstring = _field(item, "docstring")
informal = _field(item, "informalization") or _field(item, "description") or _field(item, "informal_description")
source = _field(item, "source_text") or _field(item, "statement")
parts = [f"[{index}] {name}"]
if module:
parts.append(f"Module: {module}")
if docstring:
parts.append(f"Docstring: {docstring}")
if informal:
parts.append(f"Description: {informal}")
if source:
parts.append(f"Lean source:\n{source}")
blocks.append("\n".join(parts))
return "\n\n".join(blocks)
async def search_local(query: str, args: argparse.Namespace) -> str:
service = get_local_search_service()
log(
f"LeanExplore local search query_chars={len(query)} "
f"limit={args.search_limit} rerank_top={args.rerank_top}"
)
response = await service.search(
query=query,
limit=args.search_limit,
rerank_top=args.rerank_top,
packages=args.search_packages or None,
)
log(f"LeanExplore local search returned {len(response.results)} result(s)")
return format_search_results(list(response.results))
async def search_api(query: str, args: argparse.Namespace) -> str:
try:
from lean_explore.api import ApiClient
except ImportError as exc:
raise RuntimeError(
"lean-explore API client is not importable in this Python environment. "
"Install it with `pip install lean-explore`, or use local mode."
) from exc
client = ApiClient(api_key=args.leanexplore_api_key, timeout=args.search_timeout)
log(f"LeanExplore API search query_chars={len(query)} limit={args.search_limit}")
response = await client.search(
query=query,
limit=args.search_limit,
rerank_top=args.rerank_top,
packages=args.search_packages or None,
)
log(f"LeanExplore API search returned {len(response.results)} result(s)")
return format_search_results(list(response.results))
def search_command(query: str, args: argparse.Namespace) -> str:
"""Run an optional external retrieval command.
The command receives the query on stdin and should print retrieval context on
stdout.
"""
if not args.search_command:
return ""
log(f"running search command query_chars={len(query)}")
try:
result = subprocess.run(
args.search_command,
input=query,
text=True,
encoding="utf-8",
capture_output=True,
shell=True,
timeout=args.search_timeout,
cwd=ROOT,
)
except subprocess.TimeoutExpired:
log(f"search command timed out after {args.search_timeout} seconds")
return f"[search timed out after {args.search_timeout} seconds]"
if result.returncode != 0:
log(f"search command failed exit_code={result.returncode}")
return (result.stderr or result.stdout or "").strip()
log(f"search command returned chars={len(result.stdout)}")
return result.stdout.strip()
def run_search(query: str, args: argparse.Namespace) -> str:
if args.search_backend == "none":
log("search skipped: backend=none")
return ""
if args.search_backend == "command":
return search_command(query, args)
if args.search_backend == "api":
return asyncio.run(search_api(query, args))
return asyncio.run(search_local(query, args))
def initial_search_context(nl_statement: str, formal_statement: str, args: argparse.Namespace) -> tuple[str, list[dict]]:
if args.search_backend == "none":
return "", []
query = nl_statement if args.input_mode != "formal" else formal_statement
context = run_search(query, args)
return context, [{"query": query, "context": context, "source": "initial"}]
def call_llm(args: argparse.Namespace, prompt: str) -> str:
return chat_completion(
prompt=prompt,
model=args.model,
temperature=args.temperature,
max_tokens=args.max_tokens,
base_url=args.base_url,
api_key=args.api_key,
)
def run_problem(args: argparse.Namespace, problem_id: str, generate_template: str, refine_template: str) -> dict:
nl_statement, formal_statement = load_problem(problem_id)
log(f"leanbridge problem {problem_id}: loaded inputs mode={args.input_mode}")
problem_dir = args.output_dir / "leanbridge" / args.model / problem_id
result_path = problem_dir / "result.json"
if args.resume and result_path.exists():
print(f"[{problem_id}] result exists, skipping")
return {}
if args.input_mode == "formal":
nl_input = ""
formal_input = formal_statement
elif args.input_mode == "nl":
nl_input = nl_statement
formal_input = ""
else:
nl_input = nl_statement
formal_input = formal_statement
search_context, searches = initial_search_context(nl_input or nl_statement, formal_input or formal_statement, args)
if search_context:
log(f"leanbridge problem {problem_id}: initial search context chars={len(search_context)}")
attempts = []
current_candidate = ""
last_error = ""
solved = False
for iteration in range(1, args.max_iterations + 1):
log(f"leanbridge problem {problem_id}: iteration {iteration}/{args.max_iterations} started")
started_at = now_seconds()
if iteration == 1:
prompt = render_prompt(
generate_template,
nl_statement=nl_input,
formal_statement=formal_input,
search_contents=search_context,
)
else:
prompt = render_prompt(
refine_template,
original_proof=current_candidate,
error_messages=last_error,
)
log(f"leanbridge problem {problem_id}: prompt chars={len(prompt)}")
raw_response = call_llm(args, prompt)
search_match = SEARCH_RE.search(raw_response)
if search_match and iteration < args.max_iterations:
query = search_match.group(1).strip()
log(f"leanbridge problem {problem_id}: model requested search `{query[:120]}`")
context = run_search(query, args)
searches.append({"query": query, "context": context, "source": f"iteration_{iteration}"})
last_error = "\n\n".join(
part
for part in [
last_error,
f"Additional Mathlib search results for query '{query}':\n{context}",
]
if part
)
attempts.append(
{
"iteration": iteration,
"kind": "search",
"query": query,
"context": context,
"raw_response": raw_response,
}
)
print(f"[{problem_id}] iteration {iteration}: search requested")
continue
current_candidate = extract_lean_code(raw_response)
log(f"leanbridge problem {problem_id}: verifying candidate chars={len(current_candidate)}")
ok, verifier_output = verify_lean(current_candidate, timeout=args.timeout)
elapsed_seconds = now_seconds() - started_at
lean_path = problem_dir / f"iteration_{iteration}.lean"
lean_path.parent.mkdir(parents=True, exist_ok=True)
lean_path.write_text(current_candidate, encoding="utf-8")
attempt = {
"iteration": iteration,
"kind": "proof",
"ok": ok,
"elapsed_seconds": elapsed_seconds,
"prompt": prompt,
"raw_response": raw_response,
"candidate_path": str(lean_path.relative_to(ROOT)),
"verifier_output": verifier_output,
}
attempts.append(attempt)
print(f"[{problem_id}] iteration {iteration}/{args.max_iterations}: {'ok' if ok else 'failed'}")
if ok:
solved = True
break
last_error = verifier_output
result = {
"problem_id": problem_id,
"model": args.model,
"input_mode": args.input_mode,
"solved": solved,
"max_iterations": args.max_iterations,
"search_backend": args.search_backend,
"search_command": args.search_command,
"searches": searches,
"attempts": attempts,
"natural_language_statement": nl_statement,
"formal_statement": formal_statement,
}
write_json(result_path, result)
return result
def main() -> int:
parser = argparse.ArgumentParser(description=__doc__)
add_common_args(parser)
parser.add_argument("--max-iterations", type=int, default=4)
parser.add_argument("--input-mode", choices=["nl", "formal", "nl+formal"], default="nl+formal")
parser.add_argument(
"--search-backend",
choices=["local", "api", "command", "none"],
default="local",
help="LeanExplore retrieval backend. Default is local because the hosted API may be unavailable.",
)
parser.add_argument("--search-limit", type=int, default=3)
parser.add_argument("--rerank-top", type=int, default=25)
parser.add_argument(
"--search-packages",
nargs="*",
default=["Mathlib"],
help="LeanExplore package filters, e.g. Mathlib Std. Use no values to disable filtering.",
)
parser.add_argument("--leanexplore-api-key", default=None)
parser.add_argument(
"--search-command",
default="",
help="Used only with --search-backend command. Reads query from stdin and writes context to stdout.",
)
parser.add_argument("--search-timeout", type=int, default=60)
args = parser.parse_args()
log(
f"starting leanbridge start={args.start} end={args.end} model={args.model} "
f"input_mode={args.input_mode} search_backend={args.search_backend} "
f"max_iterations={args.max_iterations} output_dir={args.output_dir}"
)
generate_template = load_prompt("prompts/leanbridge_generate.md")
refine_template = load_prompt("prompts/leanbridge_refine.md")
results = []
for problem_id in problem_ids(args.start, args.end):
result = run_problem(args, problem_id, generate_template, refine_template)
if result:
results.append(result)
solved = sum(1 for item in results if item.get("solved"))
summary = {
"mode": "leanbridge",
"model": args.model,
"input_mode": args.input_mode,
"max_iterations": args.max_iterations,
"search_backend": args.search_backend,
"start": args.start,
"end": args.end,
"solved": solved,
"total": len(results),
}
summary_path = args.output_dir / "leanbridge" / args.model / "summary.json"
write_json(summary_path, summary)
print(f"Summary: {solved}/{len(results)} solved")
return 0
if __name__ == "__main__":
if any(arg in {"-h", "--help"} for arg in sys.argv[1:]):
raise SystemExit(main())
exit_code = 1
try:
exit_code = main()
except SystemExit as exc:
exit_code = int(exc.code) if isinstance(exc.code, int) else 1
except KeyboardInterrupt:
log("interrupted by user")
exit_code = 130
except Exception:
log("fatal error")
traceback.print_exc()
exit_code = 1
finally:
close_local_search_service()
os._exit(exit_code)
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