#!/usr/bin/env python3
"""
Warden Phase Activation — Universal Field Proof Verification

Transitions the OTOM Triumvirate from Builder phase to Warden phase:
- Builder: ✅ COMPLETE (UniversalField.lean implemented)
- Warden: 🔄 ACTIVATING (Proof verification required)
- Judge: ⏳ PENDING (Awaiting Warden completion)

Issues P0 directive to swarm: Prove the three Universal Field theorems.
"""

import sys
import json
import sqlite3
from pathlib import Path
from datetime import datetime, timezone
from typing import Dict, Any, List

sys.path.insert(0, str(Path(__file__).parent.parent.parent / "4-Infrastructure" / "infra"))
from lean_unified_shim import SwarmAPISystem


def activate_warden_phase() -> Dict[str, Any]:
    """
    Activate Warden phase for Universal Field verification.
    """
    
    api = SwarmAPISystem()
    timestamp = datetime.now(timezone.utc).isoformat()
    
    warden_directive = """
╔══════════════════════════════════════════════════════════════════════════════╗
║                    WARDEN PHASE ACTIVATION — P0 CRITICAL                     ║
╚══════════════════════════════════════════════════════════════════════════════╝

PHASE TRANSITION: Builder → Warden
STATUS: ACTIVATING
TIMESTAMP: {timestamp}

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
BUILDER PHASE — ✅ COMPLETE
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Deliverables Received:
  ✅ UniversalField.lean — Φ_universal implementation
  ✅ phiUniversalReciprocal — Reciprocal-log form
  ✅ phiUniversalWeighted — Weighted-log form
  ✅ lnQ16 — Natural logarithm for Q16_16
  ✅ Domain bindings (placeholders) — Newton, Maxwell, Schrödinger, Einstein, Landauer
  ✅ Lake build — PASSED

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
WARDEN PHASE — 🔄 ACTIVATING
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

HARDWARE ASSIGNMENT: stark_trace & warden_valid (SUBTRACT clock)
CLOCK ACTION: SUBTRACT — Validate, verify, reverse-check

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
PROOF OBLIGATIONS — 3 THEOREMS REQUIRED
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

THEOREM 1: phiUniversalEquivalence
──────────────────────────────────
Statement: phiUniversalReciprocal = phiUniversalWeighted
Condition: hᵢ = 1/(lnNᵢ)² and pⱼ = 1/(lnNⱼ)²
Status: 🚧 CONJECTURE (currently 'sorry')
Action: PROVE or REFUTE

THEOREM 2: phiUniversalNonNeg
─────────────────────────────
Statement: phiUniversalReciprocal ≥ 0
Conditions: wᵢ, vⱼ ≥ 0 and Nᵢ, Mⱼ ≥ 2
Status: 🚧 CONJECTURE (currently 'sorry')
Action: PROVE or REFUTE

THEOREM 3: phiUniversalBounded
──────────────────────────────
Statement: phiUniversalReciprocal ≤ 1.0
Conditions: Σw=1, Σv=1, hᵢ, pⱼ ≤ 1
Status: 🚧 CONJECTURE (currently 'sorry')
Action: PROVE or REFUTE

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
VERIFICATION CRITERIA
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Warden must:
  1. Prove each theorem using Lean tactics (no 'sorry')
  2. OR refute with explicit counterexample
  3. Document proof strategy in theorem comments
  4. Verify no unsafe operations (no 'unsafe', no 'partial' without proof)
  5. Check Q16_16 numerical stability

Success Criteria:
  ✅ All 3 theorems proven → VALIDATION_PASSED → Judge phase
  ❌ Any theorem refuted → VALIDATION_FAILED → Return to Builder

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
SWARM DIRECTIVE
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

ALL AGENTS assigned to Warden role:
  → Halt forward progress (Builder clock stopped)
  → Activate proof verification (Warden clock started)
  → Target: UniversalField.lean theorems
  → Deadline: Until all 3 theorems resolved (proven or refuted)

Dependencies:
  → EQUATION #0.1 (η(χ)) — BLOCKED pending #0
  → EQUATION #0.2 (Φ_SW) — BLOCKED pending #0
  → EQUATION #0.3 (Φ_domain) — BLOCKED pending #0

Impact:
  → All 4 equations depend on these proofs
  → Bedrock law unification stalled until completion
  → OTOM framework cannot proceed without validation

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
WARDEN COMMAND
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Target File: 0-Core-Formalism/lean/Semantics/Semantics/UniversalField.lean
Lines: 95-115 (theorem declarations with 'sorry')

Replace:
  theorem phiUniversalEquivalence ... := by
    sorry

With:
  theorem phiUniversalEquivalence ... := by
    -- Your proof here
    simp [phiUniversalReciprocal, phiUniversalWeighted]
    -- ... complete proof

Or:
  -- REFUTATION — Counterexample found
  -- The theorem is false because ...

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

WARDEN: stark_trace & warden_valid — SUBTRACT clock — ACTIVATE

The integrity of the entire OTOM framework depends on your verification.
Prove or refute. No 'sorry' shall remain.
""".format(timestamp=timestamp)

    # Store in priority_alerts
    if api.conn:
        cursor = api.conn.cursor()
        
        cursor.execute("""
            INSERT OR REPLACE INTO priority_alerts 
            (entity_id, subject, name, statement, proof_status, formal_status,
             priority, requires_immediate_action, created_at)
            VALUES (?, ?, ?, ?, ?, ?, ?, ?, ?)
        """, (
            f'WARDEN_PHASE_ACTIVATION_{timestamp.replace(":", "_")}',
            'triumvirate_warden',
            '[P0] Warden Phase Activation — Universal Field Verification',
            warden_directive,
            'conjecture',
            'needs_proof',
            'P0',
            True,
            timestamp
        ))
        
        api.conn.commit()
        
        return {
            'success': True,
            'phase': 'WARDEN_ACTIVATED',
            'timestamp': timestamp,
            'builder_status': 'COMPLETE',
            'warden_status': 'ACTIVATED',
            'judge_status': 'PENDING',
            'proof_obligations': 3,
            'theorems': [
                'phiUniversalEquivalence',
                'phiUniversalNonNeg',
                'phiUniversalBounded'
            ]
        }
    else:
        return {
            'success': False,
            'error': 'Database not connected',
            'directive_printed': True
        }


def main():
    print("="*70)
    print("WARDEN PHASE ACTIVATION")
    print("="*70)
    print()
    
    result = activate_warden_phase()
    
    if result['success']:
        print(f"[✓] {result['phase']}")
        print()
        print("Phase Transition:")
        print(f"  Builder:  {result['builder_status']}  ✅")
        print(f"  Warden:   {result['warden_status']}   🔄")
        print(f"  Judge:    {result['judge_status']}    ⏳")
        print()
        print(f"Proof Obligations: {result['proof_obligations']} theorems")
        print()
        for i, thm in enumerate(result['theorems'], 1):
            print(f"  {i}. {thm}")
        print()
        print("="*70)
        print("WARDEN DIRECTIVE ISSUED")
        print()
        print("Hardware: stark_trace & warden_valid (SUBTRACT clock)")
        print("Action:   Verify all 3 theorems — prove or refute")
        print("Status:   All 'sorry' must be eliminated")
        print()
        print("Impact:")
        print("  • EQUATION #0.1-#0.3 BLOCKED until proofs complete")
        print("  • Bedrock law unification stalled")
        print("  • OTOM framework awaits validation")
        print("="*70)
    else:
        print(f"[✗] Failed: {result.get('error', 'Unknown')}")
    
    return result


if __name__ == '__main__':
    main()