/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem:
 strict:
  c(c(c(x1))) -> b(b(b(x1)))
 weak:
  b(a(a(x1))) -> a(b(c(x1)))
  b(b(b(x1))) -> a(a(b(x1)))
  b(c(a(x1))) -> a(c(a(x1)))
  a(c(b(x1))) -> c(a(a(x1)))

Proof:
 String Reversal Processor:
  strict:
   c(c(c(x1))) -> b(b(b(x1)))
  weak:
   a(a(b(x1))) -> c(b(a(x1)))
   b(b(b(x1))) -> b(a(a(x1)))
   a(c(b(x1))) -> a(c(a(x1)))
   b(c(a(x1))) -> a(a(c(x1)))
  Matrix Interpretation Processor: dim=2
   
   interpretation:
              [1 1]     [0]
    [b](x0) = [1 0]x0 + [1],
    
              [1 1]     [0]
    [c](x0) = [1 0]x0 + [1],
    
              [1 1]  
    [a](x0) = [1 0]x0
   orientation:
                  [3 2]     [2]    [3 2]     [2]              
    c(c(c(x1))) = [2 1]x1 + [2] >= [2 1]x1 + [2] = b(b(b(x1)))
    
                  [3 2]     [1]    [3 2]     [1]              
    a(a(b(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [1] = c(b(a(x1)))
    
                  [3 2]     [2]    [3 2]     [0]              
    b(b(b(x1))) = [2 1]x1 + [2] >= [2 1]x1 + [1] = b(a(a(x1)))
    
                  [3 2]     [2]    [3 2]     [1]              
    a(c(b(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [0] = a(c(a(x1)))
    
                  [3 2]     [1]    [3 2]     [1]              
    b(c(a(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [1] = a(a(c(x1)))
   problem:
    strict:
     c(c(c(x1))) -> b(b(b(x1)))
    weak:
     a(a(b(x1))) -> c(b(a(x1)))
     b(c(a(x1))) -> a(a(c(x1)))
   String Reversal Processor:
    strict:
     c(c(c(x1))) -> b(b(b(x1)))
    weak:
     b(a(a(x1))) -> a(b(c(x1)))
     a(c(b(x1))) -> c(a(a(x1)))
    Bounds Processor:
     bound: 1
     enrichment: match-rt
     automaton:
      final states: {4}
      transitions:
       b1(11) -> 12*
       b1(9) -> 10*
       b1(32) -> 33*
       b1(14) -> 15*
       b1(29) -> 30*
       b1(10) -> 11*
       a1(22) -> 23*
       a1(15) -> 16*
       a1(33) -> 34*
       a1(21) -> 22*
       c1(13) -> 14*
       c1(31) -> 32*
       c1(23) -> 24*
       c0(4) -> 4*
       b0(4) -> 4*
       a0(4) -> 4*
       24 -> 4*
       30 -> 10*
       12 -> 14,4
       16 -> 10*
       4 -> 13,9
       11 -> 21*
       21 -> 31*
       34 -> 30*
       23 -> 29*
     problem:
      strict:
       
      weak:
       b(a(a(x1))) -> a(b(c(x1)))
       a(c(b(x1))) -> c(a(a(x1)))
     Qed