/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:
 a__c() -> a__f(g(c()))
 a__f(g(X)) -> g(X)
 mark(c()) -> a__c()
 mark(f(X)) -> a__f(X)
 mark(g(X)) -> g(X)
 a__c() -> c()
 a__f(X) -> f(X)

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
             [1 0 0]  
   [f](x0) = [0 0 0]x0
             [0 0 1]  ,
   
                [1 0 0]     [1]
   [mark](x0) = [0 0 1]x0 + [0]
                [0 0 1]     [0],
   
                [1 0 0]  
   [a__f](x0) = [0 0 0]x0
                [0 0 1]  ,
   
             [1 0 0]  
   [g](x0) = [0 0 0]x0
             [0 0 0]  ,
   
         [0]
   [c] = [0]
         [0],
   
            [1]
   [a__c] = [0]
            [0]
  orientation:
            [1]    [0]               
   a__c() = [0] >= [0] = a__f(g(c()))
            [0]    [0]               
   
                [1 0 0]     [1 0 0]        
   a__f(g(X)) = [0 0 0]X >= [0 0 0]X = g(X)
                [0 0 0]     [0 0 0]        
   
               [1]    [1]         
   mark(c()) = [0] >= [0] = a__c()
               [0]    [0]         
   
                [1 0 0]    [1]    [1 0 0]           
   mark(f(X)) = [0 0 1]X + [0] >= [0 0 0]X = a__f(X)
                [0 0 1]    [0]    [0 0 1]           
   
                [1 0 0]    [1]    [1 0 0]        
   mark(g(X)) = [0 0 0]X + [0] >= [0 0 0]X = g(X)
                [0 0 0]    [0]    [0 0 0]        
   
            [1]    [0]      
   a__c() = [0] >= [0] = c()
            [0]    [0]      
   
             [1 0 0]     [1 0 0]        
   a__f(X) = [0 0 0]X >= [0 0 0]X = f(X)
             [0 0 1]     [0 0 1]        
  problem:
   a__f(g(X)) -> g(X)
   mark(c()) -> a__c()
   a__f(X) -> f(X)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
              [1 0 0]  
    [f](x0) = [0 0 0]x0
              [0 0 0]  ,
    
                 [1 0 0]     [1]
    [mark](x0) = [0 0 0]x0 + [0]
                 [0 0 0]     [0],
    
                 [1 0 0]     [1]
    [a__f](x0) = [0 0 0]x0 + [0]
                 [0 0 0]     [0],
    
              [1 0 0]  
    [g](x0) = [0 0 0]x0
              [0 0 0]  ,
    
          [0]
    [c] = [0]
          [0],
    
             [0]
    [a__c] = [0]
             [0]
   orientation:
                 [1 0 0]    [1]    [1 0 0]        
    a__f(g(X)) = [0 0 0]X + [0] >= [0 0 0]X = g(X)
                 [0 0 0]    [0]    [0 0 0]        
    
                [1]    [0]         
    mark(c()) = [0] >= [0] = a__c()
                [0]    [0]         
    
              [1 0 0]    [1]    [1 0 0]        
    a__f(X) = [0 0 0]X + [0] >= [0 0 0]X = f(X)
              [0 0 0]    [0]    [0 0 0]        
   problem:
    
   Qed