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What about the puzzle named escape on Joel David Hamkins' homepage?
http://jdh.hamkins.org/escape/
That not all the squares occupied by the three checkersstones in the initial configuration can be emptiedvacuated is shown with infinite series.
That not all the squares occupied by the three checkers in the initial configuration can be emptied is shown with infinite series.
That not all the squares occupied by the three stones in the initial configuration can be vacuated is shown with infinite series.