Return code: 0
Duration: 106.5s

=== STDOUT ===
🚀 Running coder
📦 Dynamic packages: clingo
🤖 Creating agent with model: anthropic/claude-sonnet-4.5
🤖 Using model: anthropic/claude-sonnet-4.5
  python_exec: import clingo
  python_exec: program = """
  python_exec: defining function on_model()
  python_exec: defining function on_model()
  python_exec: print("\n=== FINAL SOLUTION ===")
  python_exec: defining function on_model()
  save_code: {'code': 'import clingo\nimpor...
  report_issue: {'text': 'All is fine - no iss...


                         Task Completed Successfully! ✓                         

I've successfully solved the Feedback Vertex Set problem using Answer Set       
Programming with clingo. Here's what was accomplished:                          

                                Solution Found:                                 

                                                                                
 {                                                                              
   "feedback_set": [2, 5, 8, 11],                                               
   "costs": [4, 7, 2, 5],                                                       
   "total_cost": 18,                                                            
   "remaining_vertices": [1, 3, 4, 6, 7, 9, 10, 12, 13, 14, 15]                 
 }                                                                              
                                                                                

                                  Key Results:                                  

 • Optimal cost: 18 (matches expected minimum)                                  
 • Vertices removed: 2, 5, 8, 11                                                
 • Strategy: Removed one vertex from each of the four cyclic groups (A, B, C,   
   D), selecting the minimum-cost option that breaks all cycles                 

                                 Verification:                                  

✓ Protected vertices (1, 15) not removed                                        
✓ At most one vertex per group removed                                          
✓ All cycles eliminated:                                                        

 • Cycle 2→3→4→2 broken by removing vertex 2                                    
 • Cycle 5→6→7→5 broken by removing vertex 5                                    
 • Cycle 8→9→10→8 broken by removing vertex 8                                   
 • Cycle 11→12→13→11 broken by removing vertex 11                               

The ASP model correctly handles conditional edges and finds the minimum-cost    
solution that satisfies all constraints while ensuring the remaining graph is   
acyclic.                                                                        

==================================================
📊 Execution Statistics
==================================================

🔧 Tool Usage:
  python_exec            6 calls
  report_issue           1 calls
  save_code              1 calls

💬 Token Consumption:
  Input tokens:        194,805
  Output tokens:       6,574
  Total tokens:        201,379

⏱️  Execution time: 1m 45.1s
==================================================


=== STDERR ===
#models not 0: optimality of last model not guaranteed.
