Return code: 0
Duration: 56.4s

=== 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 create_asp_program()
  python_exec: defining function solve_vertex_cover()
  python_exec: defining function verify_solution()
  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: ✓                                                       

How it works:                                                                   

 1 Facts: Defined all 6 vertices and 8 edges                                    
 2 Choice Rule: { in_cover(V) } :- vertex(V) allows selecting any subset of     
   vertices                                                                     
 3 Constraint: :- edge(U, V), not in_cover(U), not in_cover(V) ensures every    
   edge has at least one endpoint selected                                      
 4 Optimization: #minimize { 1,V : in_cover(V) } finds the minimum-sized cover  

The solution was verified to cover all edges correctly and achieves the expected
optimal size of 3 vertices.                                                     

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

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

💬 Token Consumption:
  Input tokens:        115,329
  Output tokens:       2,490
  Total tokens:        117,819

⏱️  Execution time: 54.5s
==================================================


=== STDERR ===
