Return code: 0
Duration: 76.3s

=== 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: defining function on_model()
  python_exec: print("Formatting output...")
  save_code: {'code': 'import clingo\nimpor...
  report_issue: {'text': 'Task completed succe...


                         Task Completed Successfully! ✓                         

I've successfully solved the nontransitive dice problem using Answer Set        
Programming. The solution demonstrates a fascinating probability paradox where  
three dice exhibit circular dominance:                                          

Solution Found:                                                                 

                                                                                
 {                                                                              
   "dice": {                                                                    
     "A": [1, 5, 0, 4, 5, 0],                                                   
     "B": [0, 3, 3, 3, 3, 3],                                                   
     "C": [1, 2, 3, 2, 2, 6]                                                    
   },                                                                           
   "win_probabilities": {                                                       
     "A_beats_B": 0.528,                                                        
     "B_beats_C": 0.556,                                                        
     "C_beats_A": 0.556                                                         
   }                                                                            
 }                                                                              
                                                                                

Key Features:                                                                   

 • Die A beats Die B with probability 52.8% (19/36 matchups)                    
 • Die B beats Die C with probability 55.6% (20/36 matchups)                    
 • Die C beats Die A with probability 55.6% (20/36 matchups)                    

This creates a non-transitive cycle: A > B > C > A, demonstrating that "better  
than" is not a transitive relation for these dice. The ASP model efficiently    
explored the search space and found a valid configuration in under a second.    

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

🔧 Tool Usage:
  python_exec            3 calls
  report_issue           1 calls
  save_code              1 calls

💬 Token Consumption:
  Input tokens:        120,864
  Output tokens:       3,624
  Total tokens:        124,488

⏱️  Execution time: 1m 15.3s
==================================================


=== STDERR ===
