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


--------------------------------------------------------------------------------


YES

Problem:
 f(a()) -> f(b())
 g(b()) -> g(a())
 f(x) -> g(x)

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