Return code: 0
Duration: 70.9s

=== STDOUT ===
🚀 Running coder
📦 Dynamic packages: clingo
🤖 Creating agent with model: anthropic/claude-sonnet-4.5
🤖 Using model: anthropic/claude-sonnet-4.5
  python_exec: defining function on_model()
  python_exec: defining function on_model()
  python_exec: cover = {1, 2, 5}
  save_code: {'code': 'import clingo\nimpor...
  report_issue: {'text': 'All is fine - no iss...


                                    Summary                                     

I've successfully completed the vertex cover problem using Answer Set           
Programming with clingo.                                                        

Solution Found:                                                                 

 • Vertex Cover: {1, 2, 5}                                                      
 • Cover Size: 3 (optimal, as expected)                                         
 • All 8 edges covered:                                                         
    • Edge (0,1) covered by vertex 1                                            
    • Edge (0,2) covered by vertex 2                                            
    • Edge (1,3) covered by vertex 1                                            
    • Edge (1,5) covered by vertices 1 and 5                                    
    • Edge (2,3) covered by vertex 2                                            
    • Edge (2,4) covered by vertex 2                                            
    • Edge (3,5) covered by vertex 5                                            
    • Edge (4,5) covered by vertex 5                                            

Key Implementation Details:                                                     

 1 Used canonical edge representation (U < V)                                   
 2 Choice rule allows flexible vertex selection                                 
 3 Constraint ensures every edge has at least one endpoint in the cover         
 4 #minimize optimization finds the minimum-sized cover                         
 5 Used clingo.Control() without arguments to enable full optimization          

The solution has been saved to 021_vertex_cover_easy_task_code.py and produces  
the required JSON output format.                                                

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

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

💬 Token Consumption:
  Input tokens:        122,245
  Output tokens:       3,388
  Total tokens:        125,633

⏱️  Execution time: 1m 9.6s
==================================================


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