/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 f(x,x) -> a()
 f(g(x),y) -> f(x,y)

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