/export/starexec/sandbox2/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
**************************************************
summary
**************************************************
SRS with 99 rules on 4 letters       Matchbound   { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 8800 states

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [0, 0, 0, 0, 1, 0, 2, 3, 1, 3, 0, 2, 0, 1, 0, 2, 1, 2, 3, 3] -> [ 0 , 0 , 0 , 2 , 2 , 1 , 3 , 3 , 3 , 0 , 3 , 3 , 1 , 3 , 1 , 1 , 1 , 1 , 3 , 3 ] {- Input 0 -}
  [0, 0, 0, 1, 1, 0, 3, 3, 3, 3, 0, 1, 0, 2, 2, 1, 3, 2, 0, 0] -> [ 0 , 0 , 1 , 3 , 3 , 0 , 1 , 3 , 3 , 0 , 1 , 2 , 3 , 2 , 2 , 0 , 3 , 2 , 3 , 3 ] {- Input 1 -}
  [0, 0, 0, 3, 1, 3, 2, 1, 3, 3, 3, 2, 2, 3, 1, 3, 0, 3, 2, 3] -> [ 0 , 3 , 3 , 2 , 0 , 1 , 2 , 3 , 0 , 0 , 2 , 2 , 1 , 3 , 3 , 3 , 2 , 3 , 3 , 3 ] {- Input 2 -}
  [0, 0, 1, 1, 0, 1, 0, 2, 3, 1, 3, 3, 3, 1, 2, 2, 0, 0, 2, 3] -> [ 0 , 0 , 3 , 0 , 2 , 1 , 3 , 3 , 1 , 3 , 2 , 3 , 3 , 3 , 2 , 0 , 0 , 1 , 0 , 2 ] {- Input 3 -}
  [0, 0, 1, 2, 2, 1, 3, 3, 2, 2, 1, 2, 0, 2, 3, 0, 0, 1, 3, 3] -> [ 3 , 0 , 1 , 2 , 1 , 2 , 0 , 2 , 2 , 1 , 3 , 2 , 2 , 3 , 3 , 3 , 3 , 3 , 3 , 3 ] {- Input 4 -}
  [0, 0, 1, 2, 3, 0, 1, 0, 3, 0, 3, 1, 1, 1, 0, 1, 3, 3, 2, 3] -> [ 3 , 0 , 3 , 1 , 1 , 0 , 2 , 3 , 0 , 3 , 3 , 1 , 3 , 1 , 0 , 3 , 0 , 1 , 2 , 3 ] {- Input 5 -}
  [0, 0, 2, 0, 2, 3, 0, 0, 1, 1, 3, 1, 3, 0, 0, 3, 0, 3, 0, 1] -> [ 1 , 3 , 0 , 1 , 3 , 0 , 3 , 0 , 3 , 0 , 1 , 0 , 2 , 3 , 0 , 2 , 0 , 0 , 0 , 2 ] {- Input 6 -}
  [0, 0, 3, 0, 1, 3, 1, 2, 1, 1, 3, 0, 0, 1, 3, 0, 1, 2, 1, 3] -> [ 2 , 3 , 1 , 2 , 3 , 2 , 3 , 3 , 0 , 2 , 3 , 3 , 0 , 0 , 0 , 2 , 1 , 2 , 3 , 3 ] {- Input 7 -}
  [0, 0, 3, 1, 0, 2, 0, 3, 1, 0, 0, 3, 0, 0, 0, 3, 2, 0, 2, 3] -> [ 0 , 0 , 1 , 0 , 2 , 1 , 3 , 0 , 1 , 0 , 0 , 3 , 1 , 0 , 3 , 3 , 2 , 2 , 3 , 3 ] {- Input 8 -}
  [0, 0, 3, 2, 0, 3, 3, 2, 0, 2, 1, 3, 3, 3, 2, 2, 3, 1, 2, 3] -> [ 3 , 1 , 3 , 0 , 1 , 0 , 0 , 0 , 1 , 1 , 3 , 0 , 2 , 2 , 1 , 2 , 3 , 1 , 0 , 3 ] {- Input 9 -}
  [0, 0, 3, 2, 1, 2, 0, 2, 3, 2, 1, 0, 1, 0, 3, 3, 0, 0, 3, 1] -> [ 3 , 2 , 3 , 3 , 0 , 3 , 1 , 1 , 0 , 1 , 1 , 1 , 1 , 1 , 3 , 0 , 3 , 3 , 0 , 1 ] {- Input 10 -}
  [0, 1, 0, 1, 1, 3, 3, 0, 0, 1, 3, 1, 3, 0, 2, 3, 0, 3, 2, 3] -> [ 1 , 2 , 3 , 3 , 0 , 1 , 3 , 3 , 0 , 1 , 0 , 3 , 3 , 3 , 0 , 2 , 0 , 2 , 1 , 3 ] {- Input 11 -}
  [0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 1, 0, 2, 0, 3, 1] -> [ 1 , 0 , 2 , 1 , 3 , 0 , 1 , 0 , 2 , 3 , 0 , 0 , 3 , 3 , 0 , 1 , 0 , 0 , 1 , 0 ] {- Input 12 -}
  [0, 1, 3, 1, 0, 1, 3, 3, 1, 3, 1, 2, 2, 0, 0, 1, 3, 3, 0, 0] -> [ 1 , 1 , 1 , 3 , 1 , 3 , 0 , 2 , 3 , 2 , 3 , 0 , 2 , 3 , 3 , 2 , 3 , 3 , 0 , 3 ] {- Input 13 -}
  [0, 1, 3, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 3, 3, 0, 3, 0, 3] -> [ 3 , 2 , 1 , 0 , 3 , 2 , 3 , 0 , 0 , 0 , 1 , 3 , 0 , 0 , 3 , 3 , 3 , 1 , 3 , 2 ] {- Input 14 -}
  [0, 1, 3, 1, 2, 1, 3, 1, 3, 3, 1, 2, 2, 1, 0, 3, 2, 1, 1, 1] -> [ 0 , 0 , 2 , 0 , 0 , 3 , 3 , 1 , 1 , 1 , 1 , 3 , 0 , 1 , 1 , 0 , 0 , 2 , 1 , 2 ] {- Input 15 -}
  [0, 1, 3, 3, 0, 0, 2, 2, 3, 2, 0, 0, 0, 1, 2, 0, 3, 2, 1, 3] -> [ 0 , 0 , 3 , 0 , 0 , 0 , 2 , 1 , 0 , 0 , 1 , 2 , 0 , 0 , 3 , 3 , 3 , 3 , 1 , 0 ] {- Input 16 -}
  [0, 2, 0, 3, 1, 1, 3, 2, 3, 3, 0, 2, 2, 0, 2, 3, 0, 0, 2, 3] -> [ 0 , 0 , 3 , 3 , 2 , 3 , 3 , 3 , 0 , 1 , 1 , 1 , 2 , 2 , 3 , 1 , 3 , 1 , 1 , 3 ] {- Input 17 -}
  [0, 2, 1, 3, 0, 0, 0, 3, 2, 0, 1, 1, 0, 0, 0, 2, 2, 3, 1, 3] -> [ 3 , 3 , 0 , 3 , 0 , 3 , 3 , 0 , 1 , 1 , 0 , 1 , 0 , 2 , 0 , 2 , 3 , 1 , 2 , 3 ] {- Input 18 -}
  [0, 2, 1, 3, 2, 0, 2, 1, 0, 1, 0, 3, 0, 1, 1, 1, 3, 3, 3, 0] -> [ 3 , 0 , 2 , 1 , 3 , 3 , 3 , 3 , 1 , 3 , 2 , 2 , 1 , 0 , 0 , 0 , 3 , 0 , 1 , 1 ] {- Input 19 -}
  [0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 3, 3, 3] -> [ 3 , 1 , 0 , 1 , 3 , 1 , 0 , 3 , 0 , 3 , 1 , 3 , 2 , 1 , 0 , 1 , 1 , 3 , 1 , 3 ] {- Input 20 -}
  [0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 2, 0, 3, 3, 3, 3, 0] -> [ 3 , 1 , 2 , 3 , 3 , 3 , 1 , 0 , 3 , 3 , 2 , 0 , 2 , 2 , 3 , 1 , 1 , 1 , 3 , 1 ] {- Input 21 -}
  [0, 2, 2, 2, 1, 3, 2, 1, 2, 1, 3, 0, 2, 3, 2, 1, 0, 0, 1, 3] -> [ 0 , 1 , 0 , 2 , 0 , 0 , 0 , 0 , 0 , 3 , 0 , 0 , 0 , 2 , 3 , 2 , 2 , 3 , 3 , 0 ] {- Input 22 -}
  [0, 2, 2, 3, 3, 0, 0, 3, 3, 1, 3, 0, 3, 2, 2, 1, 1, 2, 3, 3] -> [ 1 , 3 , 3 , 3 , 0 , 1 , 0 , 0 , 3 , 0 , 1 , 3 , 3 , 3 , 3 , 0 , 2 , 3 , 2 , 3 ] {- Input 23 -}
  [0, 3, 0, 2, 0, 1, 3, 0, 1, 2, 3, 2, 1, 1, 0, 0, 3, 3, 2, 3] -> [ 0 , 3 , 3 , 2 , 2 , 3 , 2 , 3 , 2 , 0 , 0 , 2 , 3 , 3 , 3 , 3 , 3 , 0 , 1 , 0 ] {- Input 24 -}
  [0, 3, 1, 0, 0, 3, 1, 2, 2, 1, 0, 0, 0, 3, 0, 1, 2, 0, 3, 3] -> [ 0 , 2 , 3 , 2 , 3 , 3 , 1 , 0 , 0 , 0 , 3 , 1 , 1 , 0 , 2 , 0 , 0 , 0 , 3 , 3 ] {- Input 25 -}
  [0, 3, 2, 2, 2, 3, 2, 2, 3, 1, 3, 0, 3, 2, 3, 0, 3, 3, 1, 3] -> [ 3 , 0 , 3 , 3 , 3 , 3 , 3 , 2 , 3 , 3 , 3 , 1 , 0 , 0 , 3 , 2 , 0 , 2 , 2 , 1 ] {- Input 26 -}
  [1, 0, 0, 0, 3, 3, 3, 1, 1, 3, 2, 0, 3, 1, 2, 0, 1, 1, 2, 3] -> [ 3 , 1 , 3 , 1 , 3 , 3 , 3 , 2 , 2 , 0 , 0 , 3 , 0 , 1 , 3 , 0 , 0 , 2 , 0 , 0 ] {- Input 27 -}
  [1, 0, 2, 3, 0, 2, 1, 2, 0, 3, 0, 1, 3, 3, 0, 3, 0, 1, 2, 2] -> [ 0 , 2 , 2 , 0 , 1 , 1 , 3 , 0 , 1 , 1 , 3 , 3 , 0 , 3 , 3 , 0 , 3 , 1 , 3 , 1 ] {- Input 28 -}
  [1, 0, 3, 0, 0, 1, 1, 1, 3, 3, 0, 1, 0, 0, 3, 1, 1, 3, 2, 3] -> [ 3 , 2 , 3 , 3 , 3 , 3 , 3 , 0 , 1 , 3 , 0 , 3 , 1 , 2 , 0 , 3 , 3 , 3 , 1 , 2 ] {- Input 29 -}
  [1, 0, 3, 2, 0, 1, 2, 3, 0, 3, 3, 0, 2, 3, 3, 2, 1, 1, 1, 3] -> [ 2 , 2 , 1 , 3 , 3 , 3 , 3 , 0 , 3 , 0 , 3 , 3 , 3 , 0 , 0 , 3 , 3 , 0 , 0 , 0 ] {- Input 30 -}
  [1, 1, 0, 1, 0, 1, 2, 0, 3, 0, 2, 2, 3, 3, 0, 2, 2, 3, 1, 3] -> [ 1 , 1 , 1 , 0 , 2 , 3 , 3 , 0 , 3 , 1 , 3 , 0 , 2 , 1 , 1 , 0 , 3 , 2 , 3 , 3 ] {- Input 31 -}
  [1, 1, 0, 1, 1, 3, 2, 0, 3, 0, 2, 3, 0, 0, 0, 0, 2, 0, 2, 3] -> [ 1 , 2 , 3 , 0 , 3 , 0 , 2 , 1 , 0 , 2 , 0 , 3 , 1 , 3 , 0 , 3 , 3 , 2 , 2 , 3 ] {- Input 32 -}
  [1, 1, 0, 2, 0, 1, 3, 3, 1, 1, 1, 0, 1, 3, 3, 3, 1, 0, 1, 2] -> [ 1 , 0 , 2 , 1 , 2 , 1 , 2 , 3 , 2 , 0 , 3 , 3 , 3 , 3 , 3 , 0 , 0 , 2 , 0 , 0 ] {- Input 33 -}
  [1, 1, 1, 3, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 3, 1, 0, 3, 3] -> [ 2 , 2 , 0 , 0 , 3 , 3 , 1 , 2 , 1 , 3 , 3 , 0 , 2 , 3 , 2 , 2 , 1 , 2 , 3 , 3 ] {- Input 34 -}
  [1, 1, 1, 3, 2, 3, 3, 3, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 3] -> [ 1 , 3 , 0 , 0 , 0 , 3 , 1 , 0 , 1 , 1 , 3 , 1 , 0 , 0 , 3 , 1 , 2 , 0 , 3 , 3 ] {- Input 35 -}
  [1, 1, 3, 2, 1, 1, 0, 0, 2, 2, 3, 1, 1, 1, 0, 3, 3, 0, 3, 3] -> [ 0 , 2 , 2 , 3 , 3 , 0 , 2 , 0 , 0 , 0 , 1 , 0 , 2 , 3 , 3 , 0 , 3 , 0 , 1 , 3 ] {- Input 36 -}
  [1, 1, 3, 3, 0, 1, 3, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 3] -> [ 1 , 3 , 3 , 3 , 2 , 1 , 3 , 3 , 0 , 2 , 0 , 3 , 1 , 2 , 0 , 3 , 0 , 3 , 2 , 0 ] {- Input 37 -}
  [1, 2, 1, 2, 2, 3, 0, 3, 0, 1, 2, 3, 3, 3, 0, 0, 3, 1, 1, 3] -> [ 2 , 3 , 3 , 0 , 1 , 0 , 3 , 2 , 3 , 3 , 1 , 0 , 0 , 0 , 1 , 0 , 0 , 2 , 3 , 3 ] {- Input 38 -}
  [1, 2, 3, 0, 0, 3, 0, 2, 0, 1, 0, 1, 1, 1, 3, 3, 2, 1, 2, 3] -> [ 2 , 3 , 3 , 3 , 0 , 1 , 1 , 3 , 3 , 3 , 0 , 1 , 2 , 3 , 0 , 0 , 2 , 2 , 0 , 0 ] {- Input 39 -}
  [1, 3, 1, 2, 0, 3, 0, 0, 2, 1, 0, 3, 0, 3, 2, 1, 3, 3, 2, 3] -> [ 0 , 3 , 1 , 1 , 3 , 0 , 1 , 1 , 2 , 3 , 0 , 1 , 0 , 0 , 1 , 0 , 3 , 3 , 0 , 0 ] {- Input 40 -}
  [1, 3, 1, 3, 1, 3, 3, 1, 3, 2, 3, 0, 3, 2, 2, 3, 0, 3, 0, 3] -> [ 0 , 3 , 2 , 3 , 3 , 3 , 0 , 0 , 0 , 1 , 0 , 3 , 1 , 2 , 3 , 2 , 3 , 0 , 0 , 3 ] {- Input 41 -}
  [2, 0, 0, 2, 1, 2, 1, 1, 3, 0, 2, 3, 2, 1, 3, 3, 1, 3, 2, 3] -> [ 2 , 2 , 3 , 1 , 1 , 0 , 1 , 0 , 1 , 1 , 0 , 1 , 0 , 3 , 3 , 1 , 3 , 3 , 3 , 1 ] {- Input 42 -}
  [2, 0, 0, 3, 3, 1, 2, 3, 2, 2, 3, 3, 2, 1, 1, 2, 0, 1, 3, 3] -> [ 2 , 2 , 3 , 3 , 0 , 1 , 0 , 3 , 0 , 0 , 0 , 1 , 1 , 3 , 1 , 0 , 2 , 2 , 0 , 3 ] {- Input 43 -}
  [2, 0, 1, 0, 1, 3, 2, 3, 0, 0, 2, 1, 0, 2, 0, 3, 1, 0, 2, 3] -> [ 3 , 3 , 3 , 0 , 3 , 3 , 2 , 3 , 1 , 3 , 1 , 3 , 3 , 0 , 3 , 3 , 0 , 2 , 1 , 0 ] {- Input 44 -}
  [2, 0, 1, 0, 2, 2, 0, 3, 0, 2, 2, 3, 3, 2, 1, 3, 0, 2, 3, 1] -> [ 2 , 3 , 3 , 0 , 3 , 0 , 0 , 2 , 3 , 3 , 1 , 1 , 3 , 3 , 0 , 1 , 2 , 3 , 2 , 0 ] {- Input 45 -}
  [2, 0, 2, 0, 0, 3, 1, 0, 0, 2, 3, 3, 1, 0, 3, 2, 1, 0, 0, 3] -> [ 1 , 3 , 0 , 1 , 2 , 0 , 2 , 2 , 3 , 1 , 3 , 3 , 3 , 3 , 3 , 3 , 0 , 3 , 0 , 3 ] {- Input 46 -}
  [2, 0, 3, 1, 0, 1, 3, 1, 1, 3, 2, 2, 3, 2, 2, 0, 1, 3, 1, 3] -> [ 3 , 0 , 0 , 0 , 2 , 0 , 1 , 0 , 1 , 0 , 0 , 1 , 0 , 0 , 3 , 1 , 0 , 1 , 3 , 3 ] {- Input 47 -}
  [2, 0, 3, 1, 3, 0, 1, 2, 3, 2, 1, 0, 3, 0, 0, 3, 3, 0, 0, 0] -> [ 2 , 3 , 1 , 3 , 1 , 3 , 0 , 1 , 3 , 0 , 0 , 1 , 3 , 3 , 3 , 0 , 0 , 1 , 0 , 2 ] {- Input 48 -}
  [2, 0, 3, 1, 3, 3, 3, 1, 2, 3, 0, 1, 2, 2, 3, 2, 1, 0, 3, 1] -> [ 1 , 0 , 3 , 3 , 1 , 3 , 0 , 1 , 2 , 3 , 0 , 1 , 0 , 3 , 3 , 0 , 3 , 2 , 1 , 1 ] {- Input 49 -}
  [2, 1, 0, 1, 1, 3, 1, 3, 0, 1, 3, 2, 0, 3, 1, 0, 0, 0, 1, 3] -> [ 0 , 0 , 1 , 2 , 1 , 3 , 3 , 3 , 0 , 2 , 0 , 2 , 1 , 3 , 3 , 0 , 3 , 2 , 1 , 3 ] {- Input 50 -}
  [2, 1, 0, 1, 3, 3, 1, 0, 2, 3, 0, 0, 0, 2, 3, 1, 0, 0, 3, 3] -> [ 2 , 0 , 1 , 3 , 2 , 1 , 3 , 1 , 3 , 1 , 1 , 3 , 3 , 1 , 3 , 3 , 0 , 0 , 3 , 3 ] {- Input 51 -}
  [2, 1, 0, 3, 0, 0, 2, 2, 3, 1, 0, 0, 0, 0, 3, 1, 3, 0, 3, 3] -> [ 1 , 2 , 2 , 0 , 0 , 2 , 3 , 3 , 3 , 0 , 3 , 0 , 1 , 3 , 1 , 3 , 2 , 3 , 3 , 3 ] {- Input 52 -}
  [2, 1, 0, 3, 0, 2, 0, 2, 1, 3, 3, 3, 1, 1, 1, 0, 0, 3, 3, 2] -> [ 2 , 2 , 1 , 3 , 0 , 0 , 1 , 3 , 0 , 3 , 3 , 0 , 3 , 3 , 1 , 0 , 1 , 1 , 0 , 1 ] {- Input 53 -}
  [2, 1, 1, 0, 2, 3, 0, 2, 3, 3, 3, 2, 1, 2, 3, 1, 0, 2, 3, 2] -> [ 1 , 3 , 3 , 3 , 0 , 1 , 2 , 1 , 1 , 3 , 3 , 0 , 3 , 0 , 2 , 2 , 2 , 2 , 1 , 1 ] {- Input 54 -}
  [2, 1, 1, 0, 3, 0, 1, 2, 3, 3, 1, 1, 1, 3, 0, 0, 3, 1, 3, 0] -> [ 2 , 2 , 0 , 3 , 2 , 0 , 0 , 1 , 2 , 1 , 1 , 3 , 1 , 3 , 3 , 0 , 3 , 3 , 3 , 0 ] {- Input 55 -}
  [2, 1, 1, 1, 0, 1, 3, 1, 0, 3, 2, 3, 0, 0, 0, 3, 1, 1, 0, 3] -> [ 1 , 1 , 1 , 0 , 1 , 1 , 2 , 0 , 2 , 1 , 0 , 0 , 3 , 3 , 0 , 2 , 0 , 3 , 0 , 3 ] {- Input 56 -}
  [2, 1, 1, 2, 3, 2, 1, 2, 3, 2, 0, 0, 2, 3, 3, 0, 2, 1, 3, 3] -> [ 0 , 1 , 0 , 0 , 3 , 0 , 1 , 0 , 3 , 0 , 1 , 1 , 1 , 3 , 3 , 3 , 0 , 0 , 3 , 3 ] {- Input 57 -}
  [2, 1, 1, 3, 3, 1, 0, 2, 2, 2, 2, 2, 3, 0, 1, 0, 2, 2, 3, 3] -> [ 0 , 3 , 0 , 3 , 1 , 3 , 0 , 3 , 3 , 1 , 3 , 3 , 0 , 3 , 1 , 3 , 3 , 0 , 3 , 1 ] {- Input 58 -}
  [2, 1, 3, 1, 2, 2, 0, 0, 2, 2, 2, 2, 3, 0, 3, 0, 1, 3, 1, 3] -> [ 3 , 0 , 2 , 0 , 3 , 3 , 2 , 2 , 3 , 3 , 0 , 2 , 3 , 2 , 1 , 0 , 0 , 2 , 1 , 3 ] {- Input 59 -}
  [2, 1, 3, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 3, 2, 3, 0, 0, 3] -> [ 1 , 3 , 0 , 0 , 2 , 0 , 0 , 2 , 0 , 3 , 2 , 2 , 0 , 1 , 3 , 3 , 3 , 0 , 0 , 3 ] {- Input 60 -}
  [2, 1, 3, 1, 3, 3, 1, 2, 2, 2, 0, 1, 3, 0, 3, 3, 2, 2, 0, 3] -> [ 2 , 2 , 0 , 1 , 3 , 3 , 1 , 2 , 0 , 0 , 0 , 3 , 3 , 0 , 1 , 3 , 1 , 3 , 0 , 3 ] {- Input 61 -}
  [2, 1, 3, 3, 1, 1, 3, 2, 1, 3, 3, 1, 1, 0, 2, 2, 3, 0, 0, 0] -> [ 2 , 0 , 0 , 0 , 1 , 0 , 0 , 3 , 1 , 1 , 1 , 3 , 0 , 0 , 3 , 0 , 1 , 3 , 3 , 2 ] {- Input 62 -}
  [2, 2, 0, 1, 3, 3, 3, 3, 1, 1, 0, 3, 1, 2, 0, 0, 3, 1, 2, 3] -> [ 0 , 3 , 3 , 0 , 3 , 3 , 2 , 3 , 0 , 1 , 0 , 1 , 3 , 3 , 3 , 2 , 3 , 2 , 1 , 3 ] {- Input 63 -}
  [2, 2, 1, 0, 1, 0, 2, 3, 1, 2, 1, 2, 2, 1, 3, 3, 0, 3, 1, 3] -> [ 2 , 2 , 0 , 0 , 3 , 3 , 3 , 1 , 1 , 0 , 0 , 3 , 3 , 2 , 1 , 1 , 0 , 2 , 2 , 3 ] {- Input 64 -}
  [2, 2, 3, 1, 1, 1, 1, 3, 1, 3, 1, 1, 0, 0, 0, 0, 3, 1, 2, 3] -> [ 3 , 2 , 0 , 0 , 0 , 1 , 3 , 1 , 3 , 3 , 1 , 3 , 0 , 0 , 2 , 3 , 0 , 1 , 1 , 1 ] {- Input 65 -}
  [2, 2, 3, 2, 0, 0, 3, 0, 3, 3, 2, 2, 2, 0, 2, 3, 3, 3, 3, 2] -> [ 1 , 0 , 3 , 1 , 2 , 3 , 3 , 2 , 3 , 3 , 3 , 3 , 0 , 1 , 3 , 1 , 0 , 3 , 0 , 3 ] {- Input 66 -}
  [2, 2, 3, 2, 2, 2, 3, 3, 0, 0, 0, 1, 0, 3, 0, 3, 0, 1, 0, 1] -> [ 2 , 2 , 2 , 3 , 2 , 1 , 3 , 0 , 3 , 3 , 3 , 0 , 2 , 3 , 3 , 1 , 2 , 0 , 3 , 3 ] {- Input 67 -}
  [2, 2, 3, 3, 0, 2, 2, 0, 1, 3, 1, 3, 3, 0, 3, 2, 2, 2, 1, 2] -> [ 2 , 0 , 0 , 0 , 3 , 0 , 3 , 1 , 3 , 2 , 0 , 0 , 1 , 1 , 3 , 0 , 0 , 3 , 2 , 3 ] {- Input 68 -}
  [2, 2, 3, 3, 0, 2, 3, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 3, 1, 2] -> [ 0 , 3 , 0 , 3 , 2 , 0 , 1 , 0 , 1 , 2 , 0 , 3 , 3 , 0 , 2 , 2 , 3 , 0 , 3 , 2 ] {- Input 69 -}
  [2, 2, 3, 3, 2, 2, 2, 2, 3, 0, 2, 3, 0, 2, 0, 1, 1, 3, 3, 1] -> [ 2 , 2 , 2 , 0 , 0 , 1 , 0 , 0 , 1 , 3 , 3 , 3 , 3 , 3 , 2 , 1 , 0 , 0 , 0 , 3 ] {- Input 70 -}
  [2, 3, 0, 3, 3, 2, 3, 0, 1, 3, 2, 2, 3, 3, 0, 2, 2, 0, 1, 2] -> [ 2 , 0 , 1 , 3 , 0 , 2 , 2 , 3 , 2 , 0 , 3 , 3 , 2 , 0 , 3 , 1 , 0 , 3 , 0 , 2 ] {- Input 71 -}
  [2, 3, 1, 2, 0, 3, 2, 0, 2, 3, 3, 0, 2, 0, 0, 1, 0, 1, 0, 3] -> [ 0 , 3 , 1 , 3 , 0 , 3 , 3 , 0 , 1 , 0 , 0 , 3 , 2 , 0 , 0 , 0 , 3 , 3 , 2 , 3 ] {- Input 72 -}
  [2, 3, 1, 3, 3, 3, 2, 0, 1, 2, 0, 0, 2, 3, 3, 0, 0, 1, 1, 2] -> [ 0 , 2 , 0 , 2 , 1 , 3 , 3 , 0 , 2 , 1 , 0 , 3 , 2 , 3 , 0 , 2 , 2 , 1 , 3 , 3 ] {- Input 73 -}
  [2, 3, 2, 2, 0, 3, 3, 1, 1, 1, 3, 0, 0, 1, 0, 0, 2, 3, 0, 3] -> [ 2 , 3 , 1 , 1 , 0 , 3 , 2 , 2 , 1 , 3 , 0 , 3 , 3 , 2 , 0 , 0 , 1 , 1 , 3 , 3 ] {- Input 74 -}
  [2, 3, 2, 2, 2, 3, 0, 0, 3, 2, 1, 0, 3, 0, 2, 2, 0, 0, 1, 1] -> [ 0 , 3 , 1 , 3 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 3 , 1 , 3 , 2 , 1 , 0 , 3 , 0 , 0 ] {- Input 75 -}
  [2, 3, 2, 3, 0, 3, 0, 3, 3, 3, 0, 1, 1, 1, 0, 3, 1, 2, 1, 1] -> [ 0 , 3 , 1 , 3 , 1 , 3 , 1 , 3 , 0 , 1 , 0 , 0 , 3 , 3 , 3 , 2 , 0 , 2 , 3 , 2 ] {- Input 76 -}
  [2, 3, 2, 3, 1, 0, 0, 1, 0, 2, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0] -> [ 1 , 2 , 0 , 3 , 3 , 3 , 0 , 2 , 2 , 0 , 1 , 0 , 0 , 1 , 2 , 2 , 1 , 3 , 3 , 0 ] {- Input 77 -}
  [3, 0, 0, 1, 1, 1, 3, 3, 3, 0, 2, 2, 1, 3, 1, 2, 3, 1, 1, 0] -> [ 1 , 3 , 0 , 2 , 1 , 3 , 3 , 2 , 0 , 2 , 3 , 1 , 3 , 0 , 3 , 0 , 0 , 2 , 1 , 0 ] {- Input 78 -}
  [3, 0, 1, 0, 1, 2, 3, 2, 1, 1, 0, 1, 1, 3, 0, 3, 3, 2, 1, 3] -> [ 0 , 3 , 0 , 0 , 2 , 3 , 0 , 2 , 2 , 1 , 0 , 1 , 2 , 0 , 1 , 3 , 1 , 3 , 1 , 3 ] {- Input 79 -}
  [3, 0, 2, 0, 2, 0, 1, 1, 3, 0, 0, 3, 0, 0, 2, 0, 0, 3, 2, 3] -> [ 0 , 3 , 2 , 2 , 0 , 3 , 3 , 3 , 1 , 1 , 0 , 0 , 3 , 0 , 2 , 2 , 1 , 1 , 3 , 3 ] {- Input 80 -}
  [3, 0, 2, 1, 2, 1, 3, 1, 3, 0, 3, 1, 3, 0, 2, 0, 2, 0, 3, 2] -> [ 2 , 2 , 3 , 1 , 3 , 1 , 3 , 3 , 1 , 3 , 3 , 0 , 0 , 2 , 1 , 2 , 3 , 3 , 3 , 2 ] {- Input 81 -}
  [3, 0, 2, 2, 1, 1, 0, 1, 1, 1, 3, 0, 3, 1, 3, 2, 1, 3, 3, 0] -> [ 0 , 0 , 0 , 0 , 1 , 3 , 3 , 1 , 1 , 3 , 1 , 3 , 0 , 1 , 0 , 3 , 3 , 1 , 1 , 3 ] {- Input 82 -}
  [3, 0, 3, 2, 1, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 1, 0, 0, 1] -> [ 3 , 3 , 3 , 3 , 2 , 3 , 0 , 1 , 0 , 0 , 0 , 3 , 3 , 1 , 3 , 3 , 3 , 1 , 1 , 2 ] {- Input 83 -}
  [3, 0, 3, 2, 2, 2, 3, 1, 3, 0, 2, 1, 0, 1, 0, 2, 2, 3, 3, 1] -> [ 2 , 3 , 0 , 0 , 3 , 1 , 2 , 0 , 3 , 3 , 0 , 0 , 0 , 3 , 3 , 3 , 1 , 0 , 2 , 2 ] {- Input 84 -}
  [3, 0, 3, 3, 3, 3, 1, 3, 2, 0, 1, 0, 1, 0, 3, 3, 0, 0, 1, 1] -> [ 3 , 3 , 2 , 3 , 3 , 3 , 2 , 3 , 3 , 0 , 1 , 1 , 0 , 3 , 3 , 3 , 0 , 3 , 3 , 0 ] {- Input 85 -}
  [3, 1, 0, 1, 1, 1, 3, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 3] -> [ 0 , 3 , 0 , 2 , 2 , 0 , 1 , 0 , 1 , 0 , 0 , 2 , 2 , 3 , 2 , 3 , 0 , 1 , 0 , 3 ] {- Input 86 -}
  [3, 1, 1, 3, 2, 3, 3, 3, 1, 0, 1, 2, 0, 3, 0, 0, 0, 1, 2, 3] -> [ 3 , 3 , 3 , 0 , 3 , 3 , 1 , 0 , 2 , 3 , 0 , 0 , 2 , 2 , 3 , 3 , 0 , 3 , 2 , 0 ] {- Input 87 -}
  [3, 1, 2, 3, 2, 2, 2, 3, 3, 0, 1, 3, 0, 1, 1, 1, 0, 0, 0, 3] -> [ 1 , 2 , 1 , 3 , 1 , 3 , 3 , 3 , 3 , 2 , 1 , 1 , 2 , 3 , 0 , 0 , 3 , 3 , 0 , 0 ] {- Input 88 -}
  [3, 1, 3, 0, 2, 1, 1, 2, 0, 3, 2, 2, 1, 3, 1, 1, 2, 2, 3, 3] -> [ 1 , 0 , 0 , 1 , 3 , 0 , 1 , 1 , 2 , 0 , 3 , 3 , 3 , 3 , 0 , 0 , 3 , 0 , 3 , 2 ] {- Input 89 -}
  [3, 2, 0, 3, 3, 1, 3, 2, 3, 0, 3, 2, 3, 1, 3, 0, 2, 1, 3, 0] -> [ 3 , 3 , 3 , 0 , 2 , 3 , 3 , 0 , 2 , 0 , 3 , 3 , 3 , 3 , 1 , 0 , 0 , 1 , 3 , 0 ] {- Input 90 -}
  [3, 2, 3, 0, 1, 3, 2, 2, 0, 1, 1, 3, 3, 3, 1, 2, 3, 1, 1, 0] -> [ 0 , 0 , 0 , 0 , 3 , 2 , 3 , 1 , 1 , 1 , 0 , 1 , 0 , 0 , 3 , 3 , 0 , 2 , 3 , 1 ] {- Input 91 -}
  [3, 3, 0, 2, 2, 3, 3, 1, 2, 2, 0, 0, 3, 2, 0, 2, 1, 0, 3, 3] -> [ 1 , 0 , 2 , 1 , 1 , 3 , 2 , 1 , 1 , 3 , 0 , 3 , 3 , 1 , 1 , 3 , 1 , 3 , 3 , 3 ] {- Input 92 -}
  [3, 3, 0, 2, 3, 3, 0, 1, 3, 0, 0, 1, 2, 2, 2, 2, 3, 3, 2, 1] -> [ 3 , 1 , 3 , 3 , 1 , 0 , 3 , 0 , 3 , 0 , 2 , 3 , 3 , 1 , 0 , 1 , 0 , 3 , 1 , 0 ] {- Input 93 -}
  [3, 3, 0, 3, 3, 0, 1, 2, 1, 1, 0, 3, 3, 0, 2, 0, 0, 2, 2, 1] -> [ 3 , 3 , 3 , 3 , 1 , 3 , 3 , 1 , 1 , 3 , 1 , 2 , 3 , 3 , 3 , 2 , 2 , 0 , 2 , 1 ] {- Input 94 -}
  [3, 3, 1, 0, 1, 3, 0, 0, 3, 1, 2, 1, 0, 0, 3, 0, 1, 0, 3, 1] -> [ 1 , 3 , 3 , 3 , 3 , 2 , 3 , 2 , 2 , 0 , 3 , 1 , 0 , 0 , 1 , 3 , 0 , 3 , 3 , 1 ] {- Input 95 -}
  [3, 3, 1, 0, 3, 1, 0, 3, 1, 1, 3, 3, 1, 3, 0, 2, 2, 3, 1, 1] -> [ 0 , 0 , 3 , 0 , 2 , 1 , 3 , 3 , 0 , 0 , 3 , 2 , 0 , 0 , 3 , 0 , 2 , 2 , 0 , 0 ] {- Input 96 -}
  [3, 3, 2, 1, 3, 1, 3, 0, 2, 0, 3, 1, 2, 1, 3, 2, 1, 3, 2, 3] -> [ 2 , 3 , 3 , 2 , 2 , 2 , 0 , 3 , 1 , 2 , 3 , 3 , 3 , 3 , 0 , 1 , 3 , 2 , 0 , 3 ] {- Input 97 -}
  [3, 3, 3, 3, 1, 1, 3, 2, 3, 0, 3, 3, 0, 3, 2, 1, 0, 0, 2, 2] -> [ 3 , 3 , 0 , 3 , 0 , 0 , 3 , 3 , 3 , 1 , 3 , 1 , 1 , 0 , 3 , 0 , 2 , 0 , 1 , 2 ] {- Input 98 -}
reason
  Matchbound
    Matchbound   { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 8800 states

**************************************************
skeleton: (99,4)\Rfcmatchbound{1}[]
**************************************************
let {}
in let {trac ?= False;loop_cap = 1;match_cap = 2;tile_cap = 3;matrix_cap = 4;mo = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;done = Worker No_Strict_Rules;dont = \ p -> Fail;tiling = \ m w -> On tile_cap (weighted (And_Then (Worker (Tiling {method = m,width = w,map_type = Enum,max_num_tiles = Just 1000,max_num_rules = Just 100000})) (Worker Remap)));tile_roc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Overlap w)) <> [ Worker Unlabel];mb = \ size -> On match_cap (Apply (Worker (Matchbound {method = RFC,max_size = Just size})) done);mbs = \ size -> First_Of [ mb size, Apply (Worker Mirror) (mb size)];tile_rfc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Forward w)) <> ((for ws (\ w -> tiling Backward w)) <> [ Worker Unlabel]);solver = Minisatapi;qpi = \ dim bits -> On matrix_cap (weighted (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));qpis = Seq [ Timeout 10 (qpi 2 3), Timeout 30 (qpi 4 3), Timeout 50 (qpi 6 3), qpi 8 3];kbo = \ b -> On matrix_cap (weighted (Worker (KBO {bits = b,solver = solver})));matrix = \ dom dim bits -> On matrix_cap (weighted (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,encoding = Ersatz_Binary,tracing = trac,verbose = True,solver = solver})));arctics = Seq [ Timeout 10 (matrix Arctic 2 16), Timeout 30 (matrix Arctic 4 8), Timeout 50 (matrix Arctic 6 4), matrix Arctic 8 2];naturals = Seq [ Timeout 10 (matrix Natural 2 4), Timeout 30 (matrix Natural 4 3), Timeout 50 (matrix Natural 6 2), matrix Natural 8 1];remove = First_Of [ qpis, arctics, naturals, As_Transformer tile_roc];remove_wop = And_Then wop (Or_Else (As_Transformer (Worker No_Strict_Rules)) remove);deepee = Apply (And_Then (Worker DP) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = False,usable = True})) remove_wop));when_small = \ m -> Apply (Worker (SizeAtmost 1000)) m;yeah = First_Of [ when_small (First_Of [ deepee, Apply (Worker Mirror) deepee]), tile_rfc, mbs 100000];noh_for = \ side -> Worker (Simple (Config {closure = side,max_closure_width = Nothing,intermediates = All,priority = Linear [ ( 1, Log2 Steps), ( -1, Width_lhs), ( -2, Log2 Width_rhs)]}));noh = First_Of [ On loop_cap (noh_for Forward), On loop_cap (noh_for Backward), On loop_cap (Worker Transport)]}
  in Apply (Worker Remap) (Apply wop (Seq [ Worker KKST01, First_Of [ yeah, noh]]))
**************************************************
statistics on proof search (nodes types that (together) took more than 1.000000000000)
**************************************************
Success : Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False}
  total number 1
  max duration 194.691430457000
  min duration 194.691430457000
  total durat. 194.691430457000
  Info
    { what = Matchbound
      { method = RFC
      , max_size = Just 100000
      , max_bound = Nothing
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 99
      , num_strict_rules = 99
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 4
      , total_length = 3960}
    , self = 18
    , parent = Just 0
    , duration = 194.691430457000
    , status = Success
    , start = 2021-07-13 15:07:34.643534202 UTC
    , finish = 2021-07-13 15:10:49.334964659 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '3'
                          , '5' ]
                        , 2
                        , True )}
Except [ 'A'
       , 's'
       , 'y'
       , 'n'
       , 'c'
       , 'C'
       , 'a'
       , 'n'
       , 'c'
       , 'e'
       , 'l'
       , 'l'
       , 'e'
       , 'd' ] : Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False}
  total number 1
  max duration 194.693077548000
  min duration 194.693077548000
  total durat. 194.693077548000
  Info
    { what = Matchbound
      { method = RFC
      , max_size = Just 100000
      , max_bound = Nothing
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 99
      , num_strict_rules = 99
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 4
      , total_length = 3960}
    , self = 20
    , parent = Just 4
    , duration = 194.693077548000
    , status = Except [ 'A'
                      , 's'
                      , 'y'
                      , 'n'
                      , 'c'
                      , 'C'
                      , 'a'
                      , 'n'
                      , 'c'
                      , 'e'
                      , 'l'
                      , 'l'
                      , 'e'
                      , 'd' ]
    , start = 2021-07-13 15:07:34.643502268 UTC
    , finish = 2021-07-13 15:10:49.336579816 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '3'
                          , '7' ]
                        , 2
                        , True )}
Success : Tiling { method = Backward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False}
  total number 1
  max duration 3.152770980000
  min duration 3.152770980000
  total durat. 3.152770980000
  Info
    { what = Tiling
      { method = Backward
      , width = 2
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 99
      , num_strict_rules = 99
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 4
      , total_length = 3960}
    , self = 12
    , parent = Just 0
    , duration = 3.152770980000
    , status = Success
    , start = 2021-07-13 15:07:34.686915757 UTC
    , finish = 2021-07-13 15:07:37.839686737 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '7'
                          , '6' ]
                        , 3
                        , True )}
Fail : Tiling { method = Backward , width = 4 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False}
  total number 1
  max duration 36.559176538000
  min duration 36.559176538000
  total durat. 36.559176538000
  Info
    { what = Tiling
      { method = Backward
      , width = 4
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 99
      , num_strict_rules = 99
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 4
      , total_length = 3960}
    , self = 16
    , parent = Just 0
    , duration = 36.559176538000
    , status = Fail
    , start = 2021-07-13 15:07:34.686874522 UTC
    , finish = 2021-07-13 15:08:11.24605106 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '7'
                          , '4' ]
                        , 3
                        , True )}
Success : Tiling { method = Forward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False}
  total number 1
  max duration 5.489220488000
  min duration 5.489220488000
  total durat. 5.489220488000
  Info
    { what = Tiling
      { method = Forward
      , width = 2
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 99
      , num_strict_rules = 99
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 4
      , total_length = 3960}
    , self = 14
    , parent = Just 0
    , duration = 5.489220488000
    , status = Success
    , start = 2021-07-13 15:07:34.686519334 UTC
    , finish = 2021-07-13 15:07:40.175739822 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '6'
                          , '2' ]
                        , 3
                        , True )}
Fail : Tiling { method = Forward , width = 4 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False}
  total number 1
  max duration 140.289010357000
  min duration 140.289010357000
  total durat. 140.289010357000
  Info
    { what = Tiling
      { method = Forward
      , width = 4
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 99
      , num_strict_rules = 99
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 4
      , total_length = 3960}
    , self = 17
    , parent = Just 0
    , duration = 140.289010357000
    , status = Fail
    , start = 2021-07-13 15:07:34.686459197 UTC
    , finish = 2021-07-13 15:09:54.975469554 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '6'
                          , '0' ]
                        , 3
                        , True )}
**************************************************