/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:
 +(-(x,y),z) -> -(+(x,z),y)
 -(+(x,y),y) -> x

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
                 [1 0 0]     [1 0 0]  
   [+](x0, x1) = [0 1 1]x0 + [0 0 0]x1
                 [0 1 1]     [1 0 0]  ,
   
                      [1 1 0]     [1]
   [-](x0, x1) = x0 + [0 1 0]x1 + [1]
                      [1 0 0]     [0]
  orientation:
                 [1 0 0]    [1 1 0]    [1 0 0]    [1]    [1 0 0]    [1 1 0]    [1 0 0]    [1]              
   +(-(x,y),z) = [0 1 1]x + [1 1 0]y + [0 0 0]z + [1] >= [0 1 1]x + [0 1 0]y + [0 0 0]z + [1] = -(+(x,z),y)
                 [0 1 1]    [1 1 0]    [1 0 0]    [1]    [0 1 1]    [1 0 0]    [1 0 0]    [0]              
   
                 [1 0 0]    [2 1 0]    [1]         
   -(+(x,y),y) = [0 1 1]x + [0 1 0]y + [1] >= x = x
                 [0 1 1]    [2 0 0]    [0]         
  problem:
   +(-(x,y),z) -> -(+(x,z),y)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                  [1 0 1]     [1 0 0]  
    [+](x0, x1) = [0 0 0]x0 + [0 1 0]x1
                  [0 0 1]     [1 0 0]  ,
    
                  [1 0 0]     [1 0 0]     [0]
    [-](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0]
                  [0 0 1]     [0 0 0]     [1]
   orientation:
                  [1 0 1]    [1 0 0]    [1 0 0]    [1]    [1 0 1]    [1 0 0]    [1 0 0]    [0]              
    +(-(x,y),z) = [0 0 0]x + [0 0 0]y + [0 1 0]z + [0] >= [0 0 0]x + [0 0 0]y + [0 0 0]z + [0] = -(+(x,z),y)
                  [0 0 1]    [0 0 0]    [1 0 0]    [1]    [0 0 1]    [0 0 0]    [1 0 0]    [1]              
   problem:
    
   Qed