/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(a()) -> f(c(a()))
 f(c(X)) -> X
 f(c(a())) -> f(d(b()))
 f(a()) -> f(d(a()))
 f(d(X)) -> X
 f(c(b())) -> f(d(a()))
 e(g(X)) -> e(X)

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