/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

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

Proof:
 String Reversal Processor:
  strict:
   b(a(c(x1))) -> c(b(a(x1)))
   a(b(a(x1))) -> a(a(c(x1)))
   c(c(c(x1))) -> c(c(b(x1)))
   a(b(b(x1))) -> b(b(b(x1)))
  weak:
   b(c(a(x1))) -> c(b(c(x1)))
   b(c(a(x1))) -> c(b(b(x1)))
  Arctic Interpretation Processor:
   dimension: 1
   interpretation:
    [a](x0) = 8x0,
    
    [b](x0) = x0,
    
    [c](x0) = x0
   orientation:
    b(a(c(x1))) = 8x1 >= 8x1 = c(b(a(x1)))
    
    a(b(a(x1))) = 16x1 >= 16x1 = a(a(c(x1)))
    
    c(c(c(x1))) = x1 >= x1 = c(c(b(x1)))
    
    a(b(b(x1))) = 8x1 >= x1 = b(b(b(x1)))
    
    b(c(a(x1))) = 8x1 >= x1 = c(b(c(x1)))
    
    b(c(a(x1))) = 8x1 >= x1 = c(b(b(x1)))
   problem:
    strict:
     b(a(c(x1))) -> c(b(a(x1)))
     a(b(a(x1))) -> a(a(c(x1)))
     c(c(c(x1))) -> c(c(b(x1)))
    weak:
     
   String Reversal Processor:
    strict:
     c(a(b(x1))) -> a(b(c(x1)))
     a(b(a(x1))) -> c(a(a(x1)))
     c(c(c(x1))) -> b(c(c(x1)))
    weak:
     
    Matrix Interpretation Processor: dim=2
     
     interpretation:
                [1 1]     [1]
      [a](x0) = [1 1]x0 + [0],
      
                [1 0]  
      [b](x0) = [1 0]x0,
      
                [1 0]  
      [c](x0) = [1 0]x0
     orientation:
                    [2 0]     [1]    [2 0]     [1]              
      c(a(b(x1))) = [2 0]x1 + [1] >= [2 0]x1 + [0] = a(b(c(x1)))
      
                    [2 2]     [3]    [2 2]     [2]              
      a(b(a(x1))) = [2 2]x1 + [2] >= [2 2]x1 + [2] = c(a(a(x1)))
      
                    [1 0]      [1 0]                
      c(c(c(x1))) = [1 0]x1 >= [1 0]x1 = b(c(c(x1)))
     problem:
      strict:
       c(a(b(x1))) -> a(b(c(x1)))
       c(c(c(x1))) -> b(c(c(x1)))
      weak:
       
     String Reversal Processor:
      strict:
       b(a(c(x1))) -> c(b(a(x1)))
       c(c(c(x1))) -> c(c(b(x1)))
      weak:
       
      Arctic Interpretation Processor:
       dimension: 1
       interpretation:
        [a](x0) = 9x0,
        
        [b](x0) = 6x0,
        
        [c](x0) = 10x0
       orientation:
        b(a(c(x1))) = 25x1 >= 25x1 = c(b(a(x1)))
        
        c(c(c(x1))) = 30x1 >= 26x1 = c(c(b(x1)))
       problem:
        strict:
         b(a(c(x1))) -> c(b(a(x1)))
        weak:
         
       LPO Processor:
        precedence:
         a > c ~ b
        problem:
         strict:
          
         weak:
          
        Qed