/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,g(x)) -> x
 f(x,h(y)) -> f(h(x),y)

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