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

Proof:
 Arctic Interpretation Processor:
  dimension: 2
  interpretation:
             [0  0 ]  
   [c](x0) = [-& -&]x0,
   
             [0  0 ]  
   [b](x0) = [-& -&]x0,
   
             [0 4]  
   [a](x0) = [0 4]x0
  orientation:
                 [0  0 ]      [0  0 ]                
   b(b(b(x1))) = [-& -&]x1 >= [-& -&]x1 = c(a(c(x1)))
   
                 [4 4]      [0 4]                
   a(a(c(x1))) = [4 4]x1 >= [0 4]x1 = a(b(a(x1)))
   
                 [4 4]      [0  0 ]                
   a(a(c(x1))) = [4 4]x1 >= [-& -&]x1 = c(b(c(x1)))
   
                 [0  0 ]      [0  0 ]                
   c(b(b(x1))) = [-& -&]x1 >= [-& -&]x1 = b(b(c(x1)))
   
                 [0  0 ]      [0  0 ]                
   c(c(c(x1))) = [-& -&]x1 >= [-& -&]x1 = b(b(c(x1)))
   
                 [8  12]      [0 0]                
   a(a(a(x1))) = [8  12]x1 >= [0 0]x1 = a(b(c(x1)))
  problem:
   strict:
    b(b(b(x1))) -> c(a(c(x1)))
    a(a(c(x1))) -> a(b(a(x1)))
   weak:
    c(b(b(x1))) -> b(b(c(x1)))
    c(c(c(x1))) -> b(b(c(x1)))
  Arctic Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = 8x0,
    
    [b](x0) = 8x0,
    
    [a](x0) = 4x0
   orientation:
    b(b(b(x1))) = 24x1 >= 20x1 = c(a(c(x1)))
    
    a(a(c(x1))) = 16x1 >= 16x1 = a(b(a(x1)))
    
    c(b(b(x1))) = 24x1 >= 24x1 = b(b(c(x1)))
    
    c(c(c(x1))) = 24x1 >= 24x1 = b(b(c(x1)))
   problem:
    strict:
     a(a(c(x1))) -> a(b(a(x1)))
    weak:
     c(b(b(x1))) -> b(b(c(x1)))
     c(c(c(x1))) -> b(b(c(x1)))
   Arctic Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = 2x0,
     
     [b](x0) = x0,
     
     [a](x0) = x0
    orientation:
     a(a(c(x1))) = 2x1 >= x1 = a(b(a(x1)))
     
     c(b(b(x1))) = 2x1 >= 2x1 = b(b(c(x1)))
     
     c(c(c(x1))) = 6x1 >= 2x1 = b(b(c(x1)))
    problem:
     strict:
      
     weak:
      c(b(b(x1))) -> b(b(c(x1)))
    Qed