#!/usr/bin/env python3 """ Hotloading Prover Orchestrator — Resource-Conscious Theorem Proving ====================================================================== Prevents resource exhaustion by: 1. Loading prover models on-demand only 2. Unloading immediately after use 3. Queue-based task management 4. Memory/CPU monitoring 5. Bounded concurrency Usage: orchestrator = HotloadingProverOrchestrator(max_memory_gb=8) orchestrator.queue_theorem("F01_Q16_16_FixedPoint.lean", "add_total") orchestrator.process_queue() """ import subprocess import sys import time import gc import psutil import json from pathlib import Path from dataclasses import dataclass from typing import List, Dict, Optional, Callable from enum import Enum from queue import Queue, PriorityQueue import threading import logging # Setup logging logging.basicConfig( level=logging.INFO, format='%(asctime)s - %(name)s - %(levelname)s - %(message)s' ) logger = logging.getLogger('hotloading_prover') RESEARCH_STACK = Path("/home/allaun/Documents/Research Stack") class ProverType(Enum): """Available prover models with resource requirements.""" BF4PROVER = ("bf4prover", 2, 4) # (name, cpu_cores, memory_gb) GOEDEL_8B = ("goedel-8b", 4, 8) GOEDEL_32B = ("goedel-32b", 8, 32) BFS_PROVER = ("bfs-prover", 2, 4) class TaskPriority(Enum): """Task priority levels.""" CRITICAL = 0 # Blocking other work HIGH = 1 # Foundation equations F01-F12 NORMAL = 2 # Standard theorems LOW = 3 # Optional proofs @dataclass class TheoremTask: """Task for proving a theorem.""" lean_file: Path theorem_name: str prover_type: ProverType priority: TaskPriority timeout_seconds: int retries: int = 0 max_retries: int = 3 def __lt__(self, other): return self.priority.value < other.priority.value @dataclass class ProverInstance: """Managed prover instance with lifecycle.""" prover_type: ProverType process: Optional[subprocess.Popen] loaded_at: Optional[float] last_used: Optional[float] memory_usage_mb: float def is_loaded(self) -> bool: return self.process is not None and self.process.poll() is None def unload(self): """Unload prover to free resources.""" if self.process: try: self.process.terminate() self.process.wait(timeout=10) except: self.process.kill() self.process = None self.loaded_at = None gc.collect() logger.info(f"Unloaded {self.prover_type.value[0]}") class ResourceMonitor: """Monitor system resources to prevent exhaustion.""" def __init__(self, max_memory_gb: float, max_cpu_percent: float = 80.0): self.max_memory_gb = max_memory_gb self.max_cpu_percent = max_cpu_percent self.process = psutil.Process() def check_resources(self) -> Dict[str, bool]: """Check if resources are available.""" memory = psutil.virtual_memory() cpu_percent = psutil.cpu_percent(interval=0.1) swap = psutil.swap_memory() return { "memory_available": memory.available / (1024**3) > 2.0, # Need 2GB headroom "memory_within_limit": memory.used / (1024**3) < self.max_memory_gb, "cpu_available": cpu_percent < self.max_cpu_percent, "swap_ok": swap.percent < 50.0 if swap.total > 0 else True } def can_load_prover(self, prover: ProverType) -> bool: """Check if we can load a specific prover.""" resources = self.check_resources() _, required_cores, required_gb = prover.value memory = psutil.virtual_memory() available_gb = memory.available / (1024**3) return ( resources["memory_available"] and resources["memory_within_limit"] and resources["cpu_available"] and available_gb >= required_gb + 2.0 # Required + headroom ) def wait_for_resources(self, prover: ProverType, timeout: int = 300): """Wait until resources are available.""" start = time.time() while time.time() - start < timeout: if self.can_load_prover(prover): return True logger.info(f"Waiting for resources to load {prover.value[0]}...") time.sleep(5) # Try to free memory gc.collect() return False class HotloadingProverOrchestrator: """ Orchestrates prover models with hotloading to prevent resource exhaustion. Strategy: 1. Queue all theorem proving tasks 2. Load provers on-demand 3. Process highest priority tasks first 4. Unload prover immediately after use 5. Monitor resources, throttle if needed """ def __init__( self, max_memory_gb: float = 16.0, max_concurrent_provers: int = 2, idle_timeout_seconds: int = 60 ): self.max_memory_gb = max_memory_gb self.max_concurrent = max_concurrent_provers self.idle_timeout = idle_timeout_seconds self.task_queue = PriorityQueue() self.results: Dict[str, Dict] = {} self.provers: Dict[ProverType, ProverInstance] = {} self.monitor = ResourceMonitor(max_memory_gb) self.active_tasks = 0 self.lock = threading.Lock() # Statistics self.stats = { "tasks_submitted": 0, "tasks_completed": 0, "tasks_failed": 0, "provers_loaded": 0, "provers_unloaded": 0, "memory_peak_gb": 0.0 } def queue_theorem( self, lean_file: str, theorem_name: str, prover: ProverType = ProverType.BF4PROVER, priority: TaskPriority = TaskPriority.NORMAL, timeout: int = 300 ): """Queue a theorem proving task.""" task = TheoremTask( lean_file=RESEARCH_STACK / lean_file, theorem_name=theorem_name, prover_type=prover, priority=priority, timeout_seconds=timeout ) self.task_queue.put(task) self.stats["tasks_submitted"] += 1 logger.info(f"Queued {theorem_name} from {lean_file} (priority: {priority.name})") def load_prover(self, prover_type: ProverType) -> bool: """Hotload a prover model.""" with self.lock: # Check if already loaded if prover_type in self.provers and self.provers[prover_type].is_loaded(): self.provers[prover_type].last_used = time.time() return True # Wait for resources if not self.monitor.wait_for_resources(prover_type): logger.error(f"Cannot load {prover_type.value[0]} — insufficient resources") return False # Load based on type if prover_type == ProverType.BF4PROVER: return self._load_bf4prover() elif prover_type == ProverType.GOEDEL_8B: return self._load_goedel("8b") elif prover_type == ProverType.GOEDEL_32B: return self._load_goedel("32b") elif prover_type == ProverType.BFS_PROVER: return self._load_bfs_prover() return False def _load_bf4prover(self) -> bool: """Load bf4prover (lightweight).""" try: # bf4prover is a Python script — no persistent process needed self.provers[ProverType.BF4PROVER] = ProverInstance( prover_type=ProverType.BF4PROVER, process=None, # Stateless loaded_at=time.time(), last_used=time.time(), memory_usage_mb=0 ) self.stats["provers_loaded"] += 1 logger.info("Loaded bf4prover (stateless)") return True except Exception as e: logger.error(f"Failed to load bf4prover: {e}") return False def _load_goedel(self, size: str) -> bool: """Load Goedel-Prover-V2 model.""" try: goedel_path = RESEARCH_STACK / "ai-math-discovery-systems/Goedel-Prover-V2" # Check if model exists model_file = goedel_path / f"goedel-prover-v2-{size}.bin" if not model_file.exists(): logger.warning(f"Goedel model not found: {model_file}") return False # Load model (simplified — real implementation would use proper loader) logger.info(f"Loading Goedel-Prover-V2-{size}...") # Simulate loading time.sleep(2) self.provers[ProverType.GOEDEL_8B if size == "8b" else ProverType.GOEDEL_32B] = ProverInstance( prover_type=ProverType.GOEDEL_8B if size == "8b" else ProverType.GOEDEL_32B, process=None, # Would be actual model process loaded_at=time.time(), last_used=time.time(), memory_usage_mb=8000 if size == "8b" else 32000 ) self.stats["provers_loaded"] += 1 logger.info(f"Loaded Goedel-Prover-V2-{size}") return True except Exception as e: logger.error(f"Failed to load Goedel: {e}") return False def _load_bfs_prover(self) -> bool: """Load bfs_prover via Ollama.""" try: # Check Ollama availability result = subprocess.run( ["curl", "-s", "http://localhost:11434/api/tags"], capture_output=True, text=True, timeout=5 ) if result.returncode != 0: logger.warning("Ollama not available") return False self.provers[ProverType.BFS_PROVER] = ProverInstance( prover_type=ProverType.BFS_PROVER, process=None, loaded_at=time.time(), last_used=time.time(), memory_usage_mb=4000 ) self.stats["provers_loaded"] += 1 logger.info("Loaded bfs_prover via Ollama") return True except Exception as e: logger.error(f"Failed to load bfs_prover: {e}") return False def unload_prover(self, prover_type: ProverType): """Unload a prover to free resources.""" with self.lock: if prover_type in self.provers: self.provers[prover_type].unload() del self.provers[prover_type] self.stats["provers_unloaded"] += 1 def unload_idle_provers(self): """Unload provers that have been idle.""" with self.lock: now = time.time() for prover_type, instance in list(self.provers.items()): if instance.is_loaded() and instance.last_used: if now - instance.last_used > self.idle_timeout: logger.info(f"Unloading idle prover: {prover_type.value[0]}") self.unload_prover(prover_type) def run_bf4prover_task(self, task: TheoremTask) -> Dict: """Run a bf4prover task.""" bf4prover_script = RESEARCH_STACK / "scripts/bf4prover.py" try: result = subprocess.run( [ "python3", str(bf4prover_script), str(task.lean_file), "--theorem", task.theorem_name, "--dry-run" ], capture_output=True, text=True, timeout=task.timeout_seconds, cwd=str(RESEARCH_STACK) ) success = result.returncode == 0 and "sorry" not in result.stdout return { "theorem": task.theorem_name, "file": str(task.lean_file), "success": success, "output": result.stdout, "error": result.stderr if not success else None, "prover": "bf4prover", "duration": None # Would track actual time } except subprocess.TimeoutExpired: return { "theorem": task.theorem_name, "success": False, "error": "Timeout", "prover": "bf4prover" } except Exception as e: return { "theorem": task.theorem_name, "success": False, "error": str(e), "prover": "bf4prover" } def process_single_task(self, task: TheoremTask) -> Dict: """Process a single theorem task.""" logger.info(f"Processing {task.theorem_name} with {task.prover_type.value[0]}") # Load prover if not self.load_prover(task.prover_type): return { "theorem": task.theorem_name, "success": False, "error": f"Failed to load {task.prover_type.value[0]}" } try: # Run task if task.prover_type == ProverType.BF4PROVER: result = self.run_bf4prover_task(task) else: result = { "theorem": task.theorem_name, "success": False, "error": f"Prover {task.prover_type.value[0]} not implemented" } # Update statistics if result["success"]: self.stats["tasks_completed"] += 1 else: self.stats["tasks_failed"] += 1 # Retry if needed if task.retries < task.max_retries: task.retries += 1 logger.info(f"Retrying {task.theorem_name} (attempt {task.retries})") time.sleep(2 ** task.retries) # Exponential backoff return self.process_single_task(task) return result finally: # Update last used if task.prover_type in self.provers: self.provers[task.prover_type].last_used = time.time() # Unload if memory pressure memory = psutil.virtual_memory() if memory.percent > 85: logger.warning("Memory pressure detected — unloading prover") self.unload_prover(task.prover_type) def process_queue(self): """Process all queued tasks with hotloading.""" logger.info(f"Starting queue processing ({self.task_queue.qsize()} tasks)") while not self.task_queue.empty(): # Unload idle provers periodically self.unload_idle_provers() # Get next task task = self.task_queue.get() # Process result = self.process_single_task(task) # Store result key = f"{task.lean_file}:{task.theorem_name}" self.results[key] = result # Log progress completed = self.stats["tasks_completed"] + self.stats["tasks_failed"] total = self.stats["tasks_submitted"] logger.info(f"Progress: {completed}/{total} ({100*completed//total}%)") # Small delay to prevent resource exhaustion time.sleep(1) # Unload all provers for prover_type in list(self.provers.keys()): self.unload_prover(prover_type) logger.info("Queue processing complete") return self.results def get_stats(self) -> Dict: """Get orchestrator statistics.""" memory = psutil.virtual_memory() self.stats["memory_peak_gb"] = max( self.stats["memory_peak_gb"], memory.used / (1024**3) ) return self.stats.copy() def main(): """Demonstrate hotloading prover orchestrator.""" print("=" * 70) print("Hotloading Prover Orchestrator") print("Resource-conscious theorem proving for F01-F12") print("=" * 70) # Initialize with 8GB memory limit orchestrator = HotloadingProverOrchestrator( max_memory_gb=8.0, max_concurrent_provers=1, # Conservative idle_timeout_seconds=30 ) # Queue F01 theorems f01_file = "0-Core-Formalism/lean/Semantics/F01_Q16_16_FixedPoint.lean" theorems = [ ("add_total", TaskPriority.CRITICAL), ("mul_total", TaskPriority.CRITICAL), ("div_total", TaskPriority.CRITICAL), ("round_valid", TaskPriority.HIGH), ("mul_no_overflow", TaskPriority.HIGH), ("E_0_deterministic", TaskPriority.HIGH), ("E_0_bounds", TaskPriority.NORMAL), ("convergence_to_fixed_point", TaskPriority.NORMAL), ] print(f"\nQueueing {len(theorems)} theorems from F01...") for theorem, priority in theorems: orchestrator.queue_theorem( lean_file=f01_file, theorem_name=theorem, prover=ProverType.BF4PROVER, priority=priority, timeout=60 ) # Process queue print("\nProcessing with hotloading...") results = orchestrator.process_queue() # Report print("\n" + "=" * 70) print("RESULTS") print("=" * 70) success_count = sum(1 for r in results.values() if r.get("success")) fail_count = len(results) - success_count print(f"Success: {success_count}/{len(results)}") print(f"Failed: {fail_count}/{len(results)}") stats = orchestrator.get_stats() print(f"\nResource Usage:") print(f" Peak memory: {stats['memory_peak_gb']:.2f} GB") print(f" Provers loaded: {stats['provers_loaded']}") print(f" Provers unloaded: {stats['provers_unloaded']}") print("\n" + "=" * 70) print("Hotloading prevented resource exhaustion:") print(f" - Loaded provers on-demand only") print(f" - Unloaded after use (idle timeout: 30s)") print(f" - Bounded concurrency (max: 1)") print(f" - Memory limit enforced: 8GB") print("=" * 70) if __name__ == "__main__": main()