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

Proof:
 String Reversal Processor:
  strict:
   a(c(a(x1))) -> b(b(c(x1)))
   b(a(a(x1))) -> c(c(b(x1)))
   a(c(a(x1))) -> b(b(a(x1)))
  weak:
   a(a(c(x1))) -> c(c(a(x1)))
   a(a(c(x1))) -> b(b(b(x1)))
   c(b(c(x1))) -> a(c(a(x1)))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [c](x0) = 2x0 + 2,
    
    [a](x0) = 2x0 + 1,
    
    [b](x0) = 2x0
   orientation:
    a(c(a(x1))) = 8x1 + 9 >= 8x1 + 8 = b(b(c(x1)))
    
    b(a(a(x1))) = 8x1 + 6 >= 8x1 + 6 = c(c(b(x1)))
    
    a(c(a(x1))) = 8x1 + 9 >= 8x1 + 4 = b(b(a(x1)))
    
    a(a(c(x1))) = 8x1 + 11 >= 8x1 + 10 = c(c(a(x1)))
    
    a(a(c(x1))) = 8x1 + 11 >= 8x1 = b(b(b(x1)))
    
    c(b(c(x1))) = 8x1 + 10 >= 8x1 + 9 = a(c(a(x1)))
   problem:
    strict:
     b(a(a(x1))) -> c(c(b(x1)))
    weak:
     
   Arctic Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = 2x0,
     
     [a](x0) = 8x0,
     
     [b](x0) = 2x0
    orientation:
     b(a(a(x1))) = 18x1 >= 6x1 = c(c(b(x1)))
    problem:
     strict:
      
     weak:
      
    Qed