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


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YES


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 270-rule system
{ [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 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, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] ,
  [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 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, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 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, 2] [2, 0] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] ,
  [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] -> [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 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, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 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, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 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, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] ,
  [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] ,
  [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] -> [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, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [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, 2] [2, 1] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] ,
  [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] -> [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] -> [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] -> [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] ,
  [0, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] ,
  [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] -> [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, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [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, 2] [2, 2] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] -> [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] ,
  [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] -> [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [0, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] -> [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] ,
  [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] -> [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, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] ,
  [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] -> [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 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, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 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, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] ,
  [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 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, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] -> [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 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, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] -> [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] ,
  [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] -> [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] ,
  [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] -> [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, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] -> [1, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] -> [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [1, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [1, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [1, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] -> [1, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] ,
  [1, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] -> [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] ,
  [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] ,
  [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 0] -> [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 0] ,
  [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 0] -> [2, 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, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] ,
  [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] -> [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] -> [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] -> [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] ,
  [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 1] -> [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] ,
  [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] -> [2, 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, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] ,
  [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] -> [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] -> [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 2] -> [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] ,
  [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] ,
  [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] -> [2, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] -> [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] ,
  [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 1] [1, 2] -> [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] ,
  [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] -> [2, 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, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [2, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] -> [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] ,
  [2, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] -> [2, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] -> [2, 2] [2, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 1] [1, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] -> [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 2] -> [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }



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 0 |
| 0 1 |
 \   /
[1, 0] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[0, 2] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[2, 0] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[2, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 2] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[2, 2] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

Remains to prove termination of the 114-rule system
{ [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, 2] [2, 0] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 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, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 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, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 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, 2] [2, 1] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [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, 2] [2, 2] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 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 |
 \                             /

Remains to prove termination of the 113-rule system
{ [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, 2] [2, 0] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 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, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 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, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 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, 2] [2, 1] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [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, 2] [2, 2] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 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 |
 \                             /

Remains to prove termination of the 112-rule system
{ [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, 2] [2, 0] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 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, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 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, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 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, 2] [2, 1] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [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, 2] [2, 2] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 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 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 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 |
 \                             /

Remains to prove termination of the 110-rule system
{ [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, 2] [2, 0] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 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, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 2] [2, 2] [2, 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, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 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, 2] [2, 1] -> [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [0, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [0, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [0, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 1] ,
  [1, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 1] [1, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] -> [1, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] ,
  [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [1, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [1, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [1, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [1, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 0] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 0] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 0] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 0] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] [2, 1] -> [2, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 1] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 1] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 1] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 1] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] -> [2, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] -> [2, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 2] ,
  [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] [2, 1] [1, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 1] [1, 2] ->= [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ->= [2, 0] [0, 1] [1, 0] [0, 2] [2, 1] [1, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 1] [1, 1] [1, 2] ,
  [2, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 2] [2, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 1] [1, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 0] [0, 1] [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] ->= [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 2] [2, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 0] [0, 2] ->= [2, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 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, 1] is interpreted by
 /                             \
| 1 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 1 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 |
| 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 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 1] is interpreted by
 /                             \
| 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 21-rule system
{ [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 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, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 20-rule system
{ [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 2] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 19-rule system
{ [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 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, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 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 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 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 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, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 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, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 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, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 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 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 2] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 2] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 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 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 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 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 13-rule system
{ [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 1] [1, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] ->= [1, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 0] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 |
| 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 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 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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 11-rule system
{ [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 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 10-rule system
{ [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 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 9-rule system
{ [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 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 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 0 0 0 0 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] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 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 8-rule system
{ [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 0] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 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, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 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 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 0 0 0 0 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] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 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, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [1, 0] [0, 2] [2, 2] [2, 1] [1, 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, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 2] [2, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 1] [1, 0] [0, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] [0, 0] [0, 1] }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

[0, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 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 1 |
| 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 0] is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[0, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 0] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 1] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[1, 2] is interpreted by
 /                             \
| 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 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
[2, 2] is interpreted by
 /                             \
| 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 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 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, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [0, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [0, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 1] [1, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] -> [2, 1] [1, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 1] [1, 0] [0, 0] [0, 2] [2, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 1] [1, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 1] [1, 0] [0, 2] [2, 0] [0, 1] ,
  [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] [0, 1] ->= [2, 0] [0, 1] [1, 1] [1, 0] [0, 0] [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 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 0 |
| 0 1 |
 \   /
[0, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 0] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[0, 2] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[2, 0] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[2, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[1, 2] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
[2, 2] is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
[1, 1] is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

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


The system is trivially terminating.