/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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NO

Problem:
 from(X) -> cons(X)
 length() -> 0()
 length() -> s(length1())
 length1() -> length()

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
             [1 0 0]  
   [s](x0) = [0 0 0]x0
             [0 0 0]  ,
   
               [1]
   [length1] = [0]
               [0],
   
         [0]
   [0] = [0]
         [0],
   
              [1]
   [length] = [0]
              [0],
   
                [1 0 0]  
   [cons](x0) = [0 0 0]x0
                [0 0 0]  ,
   
                [1 0 0]  
   [from](x0) = [0 0 0]x0
                [0 0 0]  
  orientation:
             [1 0 0]     [1 0 0]           
   from(X) = [0 0 0]X >= [0 0 0]X = cons(X)
             [0 0 0]     [0 0 0]           
   
              [1]    [0]      
   length() = [0] >= [0] = 0()
              [0]    [0]      
   
              [1]    [1]               
   length() = [0] >= [0] = s(length1())
              [0]    [0]               
   
               [1]    [1]           
   length1() = [0] >= [0] = length()
               [0]    [0]           
  problem:
   from(X) -> cons(X)
   length() -> s(length1())
   length1() -> length()
  Matrix Interpretation Processor: dim=3
   
   interpretation:
              [1 0 0]  
    [s](x0) = [0 0 0]x0
              [0 0 0]  ,
    
                [1]
    [length1] = [1]
                [0],
    
               [1]
    [length] = [1]
               [0],
    
                 [1 0 0]  
    [cons](x0) = [0 0 0]x0
                 [0 0 0]  ,
    
                 [1 1 1]     [1]
    [from](x0) = [0 0 0]x0 + [1]
                 [0 0 0]     [0]
   orientation:
              [1 1 1]    [1]    [1 0 0]           
    from(X) = [0 0 0]X + [1] >= [0 0 0]X = cons(X)
              [0 0 0]    [0]    [0 0 0]           
    
               [1]    [1]               
    length() = [1] >= [0] = s(length1())
               [0]    [0]               
    
                [1]    [1]           
    length1() = [1] >= [1] = length()
                [0]    [0]           
   problem:
    length() -> s(length1())
    length1() -> length()
   Unfolding Processor:
    loop length: 2
    terms:
     length()
     s(length1())
    context: s([])
    substitution:
     
    Qed