/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES


The system was inverted.

Remains to prove termination of the 99-rule system
{ 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 -> 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 ,
  0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 -> 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 ,
  0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 -> 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 ,
  0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 -> 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 ,
  0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 -> 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 ,
  0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 0 0 -> 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 ,
  0 0 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 1 -> 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 ,
  0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 -> 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 ,
  0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 -> 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 ,
  0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 0 1 -> 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 ,
  0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 -> 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 ,
  0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 1 -> 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 ,
  0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 -> 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 ,
  0 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 -> 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 ,
  0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 0 1 -> 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 ,
  0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 0 -> 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 ,
  0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 -> 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 ,
  0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 -> 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 ,
  0 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 -> 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 ,
  0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 -> 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 ,
  0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 -> 1 1 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 ,
  0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 -> 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 ,
  0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 -> 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 ,
  0 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 1 -> 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 ,
  0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 -> 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 ,
  0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 -> 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 ,
  0 0 1 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 -> 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 ,
  0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 -> 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 1 0 ,
  0 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 -> 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 ,
  0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 -> 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 ,
  0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 -> 0 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 ,
  0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 0 1 1 -> 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 ,
  0 0 1 0 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 -> 0 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 ,
  0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 -> 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 ,
  0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 -> 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 ,
  0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 -> 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 ,
  0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 -> 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 ,
  0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 0 -> 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 ,
  0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 -> 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 ,
  0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 -> 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 ,
  0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 -> 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1 1 0 1 1 ,
  0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 1 -> 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 1 0 0 ,
  0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 1 0 -> 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 ,
  0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 -> 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 1 ,
  0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 -> 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 ,
  0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 -> 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 ,
  0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 -> 1 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 ,
  0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1 -> 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 ,
  0 0 1 1 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 -> 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 ,
  0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 -> 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 ,
  0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 -> 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 ,
  0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 -> 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 ,
  0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 0 -> 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 ,
  0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 -> 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 ,
  0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 -> 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 ,
  0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 -> 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 ,
  0 1 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 -> 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 ,
  0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 -> 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 0 ,
  0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 -> 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 ,
  0 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 -> 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 ,
  0 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 -> 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 1 ,
  0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 1 -> 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 ,
  0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 -> 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 ,
  0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 -> 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 ,
  0 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 -> 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 ,
  0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 -> 1 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 ,
  0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 -> 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 1 1 0 ,
  0 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 -> 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 ,
  0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 -> 0 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0 ,
  0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 -> 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 ,
  0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 -> 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 1 0 ,
  0 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 1 -> 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 ,
  0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 -> 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 ,
  0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 1 -> 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 ,
  0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 -> 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 ,
  1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 -> 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 1 ,
  1 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 0 0 0 -> 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 ,
  1 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 -> 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 ,
  1 0 0 0 1 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 -> 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 1 1 ,
  1 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 -> 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 ,
  1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1 0 -> 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 ,
  1 0 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 -> 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 ,
  1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 -> 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 ,
  1 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 -> 0 1 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 ,
  1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 0 -> 1 0 1 1 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 0 ,
  1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 -> 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 ,
  1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 -> 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 ,
  1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 -> 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0 ,
  1 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 1 -> 1 1 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 ,
  1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 -> 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 ,
  1 1 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 -> 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 1 1 ,
  1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 -> 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 ,
  1 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 -> 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 1 ,
  1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 -> 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 1 1 0 ,
  1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 -> 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 ,
  1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 -> 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 ,
  1 1 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 -> 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 ,
  1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 -> 0 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 ,
  1 1 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 -> 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 0 }


Applying context closure of depth 1 in the following form: System R over Sigma
maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})

Remains to prove termination of the 396-rule system
{ [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] }



The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

[0, 0] is interpreted by
 /   \
| 1 4 |
| 0 1 |
 \   /
[0, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 0] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[1, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

Remains to prove termination of the 49-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

[0, 0] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[0, 1] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[1, 0] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

Remains to prove termination of the 48-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 46-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 44-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 43-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] -> [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 28-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 26-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 42:

[0, 0] is interpreted by
 /                                                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                   /
[0, 1] is interpreted by
 /                                                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                   /
[1, 0] is interpreted by
 /                                                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                   /
[1, 1] is interpreted by
 /                                                                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                   /

Remains to prove termination of the 25-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 19-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 18-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 17-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 16-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 15-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 14-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 13-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 12-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 11-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 10-rule system
{ [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 8-rule system
{ [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 7-rule system
{ [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 6-rule system
{ [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 5-rule system
{ [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 42:

[0, 0] is interpreted by
 /                                                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                   /
[0, 1] is interpreted by
 /                                                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                   /
[1, 0] is interpreted by
 /                                                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                   /
[1, 1] is interpreted by
 /                                                                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                                                   /

Remains to prove termination of the 4-rule system
{ [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 3-rule system
{ [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 2-rule system
{ [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 1-rule system
{ [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 22:

[0, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[0, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 0] is interpreted by
 /                                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /
[1, 1] is interpreted by
 /                                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                           /

Remains to prove termination of the 0-rule system
{ }


The system is trivially terminating.