/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:
  b(a(b(x1))) -> a(b(a(x1)))
  c(c(a(x1))) -> b(a(c(x1)))
  c(a(c(x1))) -> b(b(c(x1)))
  b(a(c(x1))) -> a(c(c(x1)))
 weak:
  c(a(b(x1))) -> a(b(c(x1)))
  b(a(a(x1))) -> a(c(c(x1)))
  b(c(b(x1))) -> a(b(a(x1)))

Proof:
 String Reversal Processor:
  strict:
   b(a(b(x1))) -> a(b(a(x1)))
   a(c(c(x1))) -> c(a(b(x1)))
   c(a(c(x1))) -> c(b(b(x1)))
   c(a(b(x1))) -> c(c(a(x1)))
  weak:
   b(a(c(x1))) -> c(b(a(x1)))
   a(a(b(x1))) -> c(c(a(x1)))
   b(c(b(x1))) -> a(b(a(x1)))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [a](x0) = 3x0,
    
    [b](x0) = 3x0 + 3,
    
    [c](x0) = 3x0 + 4
   orientation:
    b(a(b(x1))) = 27x1 + 30 >= 27x1 + 9 = a(b(a(x1)))
    
    a(c(c(x1))) = 27x1 + 48 >= 27x1 + 31 = c(a(b(x1)))
    
    c(a(c(x1))) = 27x1 + 40 >= 27x1 + 40 = c(b(b(x1)))
    
    c(a(b(x1))) = 27x1 + 31 >= 27x1 + 16 = c(c(a(x1)))
    
    b(a(c(x1))) = 27x1 + 39 >= 27x1 + 13 = c(b(a(x1)))
    
    a(a(b(x1))) = 27x1 + 27 >= 27x1 + 16 = c(c(a(x1)))
    
    b(c(b(x1))) = 27x1 + 42 >= 27x1 + 9 = a(b(a(x1)))
   problem:
    strict:
     c(a(c(x1))) -> c(b(b(x1)))
    weak:
     
   Arctic Interpretation Processor:
    dimension: 1
    interpretation:
     [a](x0) = 15x0,
     
     [b](x0) = 8x0,
     
     [c](x0) = 2x0
    orientation:
     c(a(c(x1))) = 19x1 >= 18x1 = c(b(b(x1)))
    problem:
     strict:
      
     weak:
      
    Qed