Counter example: 
1 2 3 4     1 2 3 4     1 2 3 4
5     6       5   6         5 6

1 3 4 5     1 3 4 5     1 3 4 5
2     6       2   6         2 6

1 2 3 6     1 2 3 6     1 2 3 6     
4 5           4 5           4 5
                        
1 2 3 6     1 2 3 6     1 2 3 6         
4   5       4     5       4   5
                        
...

[download]

That's twelve tries and there are more still.

In reply to Re: •Re: Puzzle: need a more general algorithm by Anonymous Monk
in thread Puzzle: need a more general algorithm by Ovid

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