Agent 1: Stupibot
Agent 2: Try my best to do it :)

  A B C D E F  
1 . X X X X . 1
2 O . . . . O 2
3 O . . . . O 3
4 O . . . . O 4
5 O . . . . O 5
6 . X X X X . 6
  A B C D E F  

Turn 1: Agent 1 -> E6A6

  A B C D E F  
1 . X X X X . 1
2 O . . . . O 2
3 O . . . . O 3
4 O . . . . O 4
5 O . . . . O 5
6 X X X X . . 6
  A B C D E F  

Turn 2: Agent 2 -> A2B3

  A B C D E F  
1 . X X X X . 1
2 . . . . . O 2
3 O O . . . O 3
4 O . . . . O 4
5 O . . . . O 5
6 X X X X . . 6
  A B C D E F  

Turn 3: Agent 1 -> B1A2 (random move - illegal move from agent: A1B2)

  A B C D E F  
1 . . X X X . 1
2 X . . . . O 2
3 O O . . . O 3
4 O . . . . O 4
5 O . . . . O 5
6 X X X X . . 6
  A B C D E F  

Turn 4: Agent 2 -> F2D4

  A B C D E F  
1 . . X X X . 1
2 X . . . . . 2
3 O O . . . O 3
4 O . . O . O 4
5 O . . . . O 5
6 X X X X . . 6
  A B C D E F  

Turn 5: Agent 1 -> C1C3 (random move - illegal move from agent: A1B2)

  A B C D E F  
1 . . . X X . 1
2 X . . . . . 2
3 O O X . . O 3
4 O . . O . O 4
5 O . . . . O 5
6 X X X X . . 6
  A B C D E F  

Turn 6: Agent 2 -> F3D5

  A B C D E F  
1 . . . X X . 1
2 X . . . . . 2
3 O O X . . . 3
4 O . . O . O 4
5 O . . O . O 5
6 X X X X . . 6
  A B C D E F  

Turn 7: Agent 1 -> D6F4

  A B C D E F  
1 . . . X X . 1
2 X . . . . . 2
3 O O X . . . 3
4 O . . O . X 4
5 O . . O . O 5
6 X X X . . . 6
  A B C D E F  

Turn 8: Agent 2 -> F5C5

  A B C D E F  
1 . . . X X . 1
2 X . . . . . 2
3 O O X . . . 3
4 O . . O . X 4
5 O . O O . . 5
6 X X X . . . 6
  A B C D E F  

Turn 9: Agent 1 -> C6F6

  A B C D E F  
1 . . . X X . 1
2 X . . . . . 2
3 O O X . . . 3
4 O . . O . X 4
5 O . O O . . 5
6 X X . . . X 6
  A B C D E F  

Turn 10: Agent 2 -> C5C3

  A B C D E F  
1 . . . X X . 1
2 X . . . . . 2
3 O O O . . . 3
4 O . . O . X 4
5 O . . O . . 5
6 X X . . . X 6
  A B C D E F  

Agent 2 wins!