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

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [b](x0) = 2x0,
   
   [c](x0) = 2x0 + 1,
   
   [a](x0) = 2x0 + 3
  orientation:
   c(c(c(x1))) = 8x1 + 7 >= 8x1 + 7 = a(b(c(x1)))
   
   b(a(c(x1))) = 8x1 + 10 >= 8x1 + 2 = b(c(b(x1)))
   
   a(b(a(x1))) = 8x1 + 15 >= 8x1 + 11 = c(a(c(x1)))
   
   b(b(c(x1))) = 8x1 + 4 >= 8x1 + 3 = a(b(b(x1)))
   
   c(a(b(x1))) = 8x1 + 7 >= 8x1 + 6 = b(c(c(x1)))
   
   a(b(c(x1))) = 8x1 + 7 >= 8x1 = b(b(b(x1)))
  problem:
   strict:
    c(c(c(x1))) -> a(b(c(x1)))
   weak:
    
  String Reversal Processor:
   strict:
    c(c(c(x1))) -> c(b(a(x1)))
   weak:
    
   Arctic Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = 1x0,
     
     [c](x0) = 9x0,
     
     [a](x0) = 8x0
    orientation:
     c(c(c(x1))) = 27x1 >= 18x1 = c(b(a(x1)))
    problem:
     strict:
      
     weak:
      
    Qed