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


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YES

Problem:
 g(a()) -> g(b())
 b() -> f(a(),a())
 f(a(),a()) -> g(d())

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