Return code: 0
Duration: 135.3s

=== 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: asp_program = """
  python_exec: defining function on_model()
  python_exec: defining function on_model()
  python_exec: output = {
  python_exec: print("Task 7: Verifying solutions")
  save_code: {'code': 'import clingo\nimpor...
  report_issue: {'text': 'All is fine - no iss...


                                    Summary                                     

I've successfully completed the Hamiltonian path problem using Answer Set       
Programming with clingo. The solution finds all 4 valid Hamiltonian paths from  
vertex 0 to vertex 5 in the given directed graph.                               

Key aspects of the solution:                                                    

 1 Position-based encoding: Each vertex is assigned to exactly one position     
   (0-5) in the path, ensuring each vertex appears exactly once                 
 2 Bidirectional constraints: Both "each vertex → one position" and "each       
   position → one vertex" are enforced                                          
 3 Start/End constraints: Vertex 0 must be at position 0, vertex 5 must be at   
   position 5                                                                   
 4 Edge validation: Consecutive vertices in the path must be connected by valid 
   directed edges                                                               
 5 Complete enumeration: Configured clingo to find all solutions (not just one) 

Results:                                                                        

 • Found 4 valid Hamiltonian paths                                              
 • All paths verified to start at 0, end at 5, visit all vertices exactly once, 
   and follow valid edges                                                       
 • Solution completes quickly and outputs the required JSON format              

The final code has been saved and is ready to use.                              

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

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

💬 Token Consumption:
  Input tokens:        183,591
  Output tokens:       3,422
  Total tokens:        187,013

⏱️  Execution time: 2m 13.9s
==================================================


=== STDERR ===
2025-10-12 14:01:48,394 - coder.kernel - WARNING - Existing kernel is dead, will restart
