Return code: 0
Duration: 119.5s

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

Perfect! I have successfully completed the maximum flow problem using Answer Set
Programming.                                                                    


                                    Summary                                     

The solution finds the maximum flow of 14 through the network from source node 1
to sink node 6, which matches the expected optimal value.                       

Key aspects of the ASP solution:                                                

 1 Model Design: Used predicates for nodes, edges with capacities, and flow     
   assignments                                                                  
 2 Choice Rules: Each edge gets exactly one flow value within its capacity      
   constraint                                                                   
 3 Flow Conservation: Enforced that intermediate nodes have equal inflow and    
   outflow using aggregates                                                     
 4 Optimization: Used #maximize to find the maximum total flow from source      
 5 Verification: All constraints satisfied - capacity limits respected, flow    
   balanced at all intermediate nodes                                           

The solution was verified to be correct with all flows respecting capacity      
constraints and flow conservation holding at all intermediate nodes (2, 3, 4,   
5).                                                                             

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

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

💬 Token Consumption:
  Input tokens:        195,420
  Output tokens:       5,605
  Total tokens:        201,025

⏱️  Execution time: 1m 58.4s
==================================================


=== STDERR ===
2025-10-12 17:44:00,102 - coder.kernel - WARNING - Existing kernel is dead, will restart
#models not 0: optimality of last model not guaranteed.
2025-10-12 17:44:36,541 - coder.kernel - WARNING - Existing kernel is dead, will restart
