Return code: 0
Duration: 71.4s

=== STDOUT ===
🚀 Running coder
📦 Dynamic packages: clingo
🤖 Creating agent with model: anthropic/claude-sonnet-4.5
🤖 Using model: anthropic/claude-sonnet-4.5
  python_exec: import clingo
  python_exec: defining function on_model()
  python_exec: defining function on_model()
  python_exec: defining function has_cycle()
  save_code: {'code': 'import clingo\nimpor...
  python_exec: executing file 035_feedback_vertex_set_easy_task_code.py
  report_issue: {'text': 'Task completed succe...

Perfect! I've successfully completed the feedback vertex set problem.           


                                    Summary                                     

The solution finds the minimum feedback vertex set of size 2, consisting of     
vertices [4, 6].                                                                

How it works:                                                                   

 1 The ASP model uses choice rules to select which vertices to remove           
 2 It defines active vertices (those not removed) and active edges (connecting  
   active vertices)                                                             
 3 It computes reachability in the remaining graph using transitive closure     
 4 It forbids any vertex from being able to reach itself (which would indicate a
   cycle)                                                                       
 5 It minimizes the number of removed vertices using #minimize                  

Verification:                                                                   

 • Removing vertices 4 and 6 leaves vertices {1, 2, 3, 5}                       
 • The remaining edges are: 1→2, 1→3, 2→5, 5→3                                  
 • This forms a DAG with no cycles ✓                                            
 • The solution size matches the expected optimal size of 2 ✓                   

The final output is:                                                            

                                                                                
 {"feedback_set": [4, 6], "size": 2, "remaining_vertices": [1, 2, 3, 5]}        
                                                                                

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

🔧 Tool Usage:
  python_exec            5 calls
  report_issue           1 calls
  save_code              1 calls

💬 Token Consumption:
  Input tokens:        162,586
  Output tokens:       3,611
  Total tokens:        166,197

⏱️  Execution time: 1m 10.4s
==================================================


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