/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,y) -> x
 g(a()) -> h(a(),b(),a())
 i(x) -> f(x,x)
 h(x,x,y) -> g(x)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [i](x0) = 6x0 + 4,
   
   [h](x0, x1, x2) = x0 + 6x1 + 4x2,
   
   [b] = 0,
   
   [g](x0) = 6x0,
   
   [a] = 3,
   
   [f](x0, x1) = 2x0 + 4x1 + 1
  orientation:
   f(x,y) = 2x + 4y + 1 >= x = x
   
   g(a()) = 18 >= 15 = h(a(),b(),a())
   
   i(x) = 6x + 4 >= 6x + 1 = f(x,x)
   
   h(x,x,y) = 7x + 4y >= 6x = g(x)
  problem:
   h(x,x,y) -> g(x)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                      [1 0 0]     [1 0 0]     [1 0 0]     [1]
    [h](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0]
                      [0 0 0]     [0 0 1]     [0 0 0]     [0],
    
              [1 0 0]  
    [g](x0) = [0 0 0]x0
              [0 0 1]  
   orientation:
               [2 0 0]    [1 0 0]    [1]    [1 0 0]        
    h(x,x,y) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x = g(x)
               [0 0 1]    [0 0 0]    [0]    [0 0 1]        
   problem:
    
   Qed