MAYBE

Problem:
 a__zeros() -> cons(0(),zeros())
 a__and(tt(),X) -> mark(X)
 a__length(nil()) -> 0()
 a__length(cons(N,L)) -> s(a__length(mark(L)))
 mark(zeros()) -> a__zeros()
 mark(and(X1,X2)) -> a__and(mark(X1),X2)
 mark(length(X)) -> a__length(mark(X))
 mark(cons(X1,X2)) -> cons(mark(X1),X2)
 mark(0()) -> 0()
 mark(tt()) -> tt()
 mark(nil()) -> nil()
 mark(s(X)) -> s(mark(X))
 a__zeros() -> zeros()
 a__and(X1,X2) -> and(X1,X2)
 a__length(X) -> length(X)

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
                  [1 0 0]     [1]
   [length](x0) = [0 0 0]x0 + [0]
                  [0 0 0]     [0],
   
                   [1 0 0]     [1 1 0]  
   [and](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                   [0 0 0]     [0 0 0]  ,
   
             [1 0 0]  
   [s](x0) = [0 0 0]x0
             [0 0 0]  ,
   
                     [1 0 0]     [1]
   [a__length](x0) = [0 0 0]x0 + [0]
                     [0 0 0]     [0],
   
           [0]
   [nil] = [0]
           [0],
   
                [1 0 0]  
   [mark](x0) = [0 0 0]x0
                [0 0 0]  ,
   
                      [1 0 0]     [1 1 0]  
   [a__and](x0, x1) = [0 1 0]x0 + [0 0 0]x1
                      [0 0 0]     [0 0 0]  ,
   
          [0]
   [tt] = [0]
          [0],
   
                    [1 1 0]     [1 0 1]  
   [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                    [0 0 0]     [0 0 0]  ,
   
             [1]
   [zeros] = [0]
             [0],
   
         [0]
   [0] = [0]
         [0],
   
                [1]
   [a__zeros] = [0]
                [0]
  orientation:
                [1]    [1]                    
   a__zeros() = [0] >= [0] = cons(0(),zeros())
                [0]    [0]                    
   
                    [1 1 0]     [1 0 0]           
   a__and(tt(),X) = [0 0 0]X >= [0 0 0]X = mark(X)
                    [0 0 0]     [0 0 0]           
   
                      [1]    [0]      
   a__length(nil()) = [0] >= [0] = 0()
                      [0]    [0]      
   
                          [1 0 1]    [1 1 0]    [1]    [1 0 0]    [1]                        
   a__length(cons(N,L)) = [0 0 0]L + [0 0 0]N + [0] >= [0 0 0]L + [0] = s(a__length(mark(L)))
                          [0 0 0]    [0 0 0]    [0]    [0 0 0]    [0]                        
   
                   [1]    [1]             
   mark(zeros()) = [0] >= [0] = a__zeros()
                   [0]    [0]             
   
                      [1 0 0]     [1 1 0]      [1 0 0]     [1 1 0]                        
   mark(and(X1,X2)) = [0 0 0]X1 + [0 0 0]X2 >= [0 0 0]X1 + [0 0 0]X2 = a__and(mark(X1),X2)
                      [0 0 0]     [0 0 0]      [0 0 0]     [0 0 0]                        
   
                     [1 0 0]    [1]    [1 0 0]    [1]                     
   mark(length(X)) = [0 0 0]X + [0] >= [0 0 0]X + [0] = a__length(mark(X))
                     [0 0 0]    [0]    [0 0 0]    [0]                     
   
                       [1 1 0]     [1 0 1]      [1 0 0]     [1 0 1]                      
   mark(cons(X1,X2)) = [0 0 0]X1 + [0 0 0]X2 >= [0 0 0]X1 + [0 0 0]X2 = cons(mark(X1),X2)
                       [0 0 0]     [0 0 0]      [0 0 0]     [0 0 0]                      
   
               [0]    [0]      
   mark(0()) = [0] >= [0] = 0()
               [0]    [0]      
   
                [0]    [0]       
   mark(tt()) = [0] >= [0] = tt()
                [0]    [0]       
   
                 [0]    [0]        
   mark(nil()) = [0] >= [0] = nil()
                 [0]    [0]        
   
                [1 0 0]     [1 0 0]              
   mark(s(X)) = [0 0 0]X >= [0 0 0]X = s(mark(X))
                [0 0 0]     [0 0 0]              
   
                [1]    [1]          
   a__zeros() = [0] >= [0] = zeros()
                [0]    [0]          
   
                   [1 0 0]     [1 1 0]      [1 0 0]     [1 1 0]               
   a__and(X1,X2) = [0 1 0]X1 + [0 0 0]X2 >= [0 0 0]X1 + [0 0 0]X2 = and(X1,X2)
                   [0 0 0]     [0 0 0]      [0 0 0]     [0 0 0]               
   
                  [1 0 0]    [1]    [1 0 0]    [1]            
   a__length(X) = [0 0 0]X + [0] >= [0 0 0]X + [0] = length(X)
                  [0 0 0]    [0]    [0 0 0]    [0]            
  problem:
   a__zeros() -> cons(0(),zeros())
   a__and(tt(),X) -> mark(X)
   a__length(cons(N,L)) -> s(a__length(mark(L)))
   mark(zeros()) -> a__zeros()
   mark(and(X1,X2)) -> a__and(mark(X1),X2)
   mark(length(X)) -> a__length(mark(X))
   mark(cons(X1,X2)) -> cons(mark(X1),X2)
   mark(0()) -> 0()
   mark(tt()) -> tt()
   mark(nil()) -> nil()
   mark(s(X)) -> s(mark(X))
   a__zeros() -> zeros()
   a__and(X1,X2) -> and(X1,X2)
   a__length(X) -> length(X)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                   [1 0 0]  
    [length](x0) = [0 0 0]x0
                   [0 0 0]  ,
    
                    [1 0 0]     [1 0 1]     [1]
    [and](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0]
                    [0 0 0]     [0 0 0]     [0],
    
              [1 0 0]  
    [s](x0) = [0 0 0]x0
              [0 0 0]  ,
    
                      [1 0 0]  
    [a__length](x0) = [0 1 0]x0
                      [0 0 0]  ,
    
            [0]
    [nil] = [0]
            [0],
    
                 [1 0 0]  
    [mark](x0) = [1 0 0]x0
                 [0 0 0]  ,
    
                       [1 0 0]     [1 0 1]     [1]
    [a__and](x0, x1) = [0 1 0]x0 + [1 0 1]x1 + [0]
                       [0 0 0]     [0 0 0]     [0],
    
           [0]
    [tt] = [0]
           [0],
    
                     [1 0 1]     [1 1 1]  
    [cons](x0, x1) = [0 1 0]x0 + [0 0 0]x1
                     [0 0 0]     [0 0 0]  ,
    
              [0]
    [zeros] = [0]
              [0],
    
          [0]
    [0] = [0]
          [0],
    
                 [0]
    [a__zeros] = [0]
                 [0]
   orientation:
                 [0]    [0]                    
    a__zeros() = [0] >= [0] = cons(0(),zeros())
                 [0]    [0]                    
    
                     [1 0 1]    [1]    [1 0 0]           
    a__and(tt(),X) = [1 0 1]X + [0] >= [1 0 0]X = mark(X)
                     [0 0 0]    [0]    [0 0 0]           
    
                           [1 1 1]    [1 0 1]     [1 0 0]                         
    a__length(cons(N,L)) = [0 0 0]L + [0 1 0]N >= [0 0 0]L = s(a__length(mark(L)))
                           [0 0 0]    [0 0 0]     [0 0 0]                         
    
                    [0]    [0]             
    mark(zeros()) = [0] >= [0] = a__zeros()
                    [0]    [0]             
    
                       [1 0 0]     [1 0 1]     [1]    [1 0 0]     [1 0 1]     [1]                      
    mark(and(X1,X2)) = [1 0 0]X1 + [1 0 1]X2 + [1] >= [1 0 0]X1 + [1 0 1]X2 + [0] = a__and(mark(X1),X2)
                       [0 0 0]     [0 0 0]     [0]    [0 0 0]     [0 0 0]     [0]                      
    
                      [1 0 0]     [1 0 0]                      
    mark(length(X)) = [1 0 0]X >= [1 0 0]X = a__length(mark(X))
                      [0 0 0]     [0 0 0]                      
    
                        [1 0 1]     [1 1 1]      [1 0 0]     [1 1 1]                      
    mark(cons(X1,X2)) = [1 0 1]X1 + [1 1 1]X2 >= [1 0 0]X1 + [0 0 0]X2 = cons(mark(X1),X2)
                        [0 0 0]     [0 0 0]      [0 0 0]     [0 0 0]                      
    
                [0]    [0]      
    mark(0()) = [0] >= [0] = 0()
                [0]    [0]      
    
                 [0]    [0]       
    mark(tt()) = [0] >= [0] = tt()
                 [0]    [0]       
    
                  [0]    [0]        
    mark(nil()) = [0] >= [0] = nil()
                  [0]    [0]        
    
                 [1 0 0]     [1 0 0]              
    mark(s(X)) = [1 0 0]X >= [0 0 0]X = s(mark(X))
                 [0 0 0]     [0 0 0]              
    
                 [0]    [0]          
    a__zeros() = [0] >= [0] = zeros()
                 [0]    [0]          
    
                    [1 0 0]     [1 0 1]     [1]    [1 0 0]     [1 0 1]     [1]             
    a__and(X1,X2) = [0 1 0]X1 + [1 0 1]X2 + [0] >= [0 0 0]X1 + [0 0 0]X2 + [0] = and(X1,X2)
                    [0 0 0]     [0 0 0]     [0]    [0 0 0]     [0 0 0]     [0]             
    
                   [1 0 0]     [1 0 0]             
    a__length(X) = [0 1 0]X >= [0 0 0]X = length(X)
                   [0 0 0]     [0 0 0]             
   problem:
    a__zeros() -> cons(0(),zeros())
    a__length(cons(N,L)) -> s(a__length(mark(L)))
    mark(zeros()) -> a__zeros()
    mark(and(X1,X2)) -> a__and(mark(X1),X2)
    mark(length(X)) -> a__length(mark(X))
    mark(cons(X1,X2)) -> cons(mark(X1),X2)
    mark(0()) -> 0()
    mark(tt()) -> tt()
    mark(nil()) -> nil()
    mark(s(X)) -> s(mark(X))
    a__zeros() -> zeros()
    a__and(X1,X2) -> and(X1,X2)
    a__length(X) -> length(X)
   Matrix Interpretation Processor: dim=3
    
    interpretation:
                    [1 0 0]  
     [length](x0) = [0 1 0]x0
                    [0 0 0]  ,
     
                     [1 0 0]     [1 0 0]  
     [and](x0, x1) = [0 1 0]x0 + [0 0 0]x1
                     [0 0 0]     [0 0 0]  ,
     
               [1 0 0]  
     [s](x0) = [0 1 0]x0
               [0 0 0]  ,
     
                       [1 0 0]     [0]
     [a__length](x0) = [0 1 0]x0 + [0]
                       [0 0 0]     [1],
     
             [0]
     [nil] = [1]
             [0],
     
                  [1 1 0]     [0]
     [mark](x0) = [0 0 0]x0 + [1]
                  [0 0 0]     [1],
     
                        [1 0 0]     [1 0 0]  
     [a__and](x0, x1) = [0 1 0]x0 + [0 0 0]x1
                        [0 0 0]     [0 0 0]  ,
     
            [1]
     [tt] = [0]
            [0],
     
                      [1 1 0]     [1 1 0]     [0]
     [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [1]
                      [0 0 1]     [0 0 0]     [0],
     
               [1]
     [zeros] = [0]
               [0],
     
           [0]
     [0] = [0]
           [0],
     
                  [1]
     [a__zeros] = [1]
                  [0]
    orientation:
                  [1]    [1]                    
     a__zeros() = [1] >= [1] = cons(0(),zeros())
                  [0]    [0]                    
     
                            [1 1 0]    [1 1 0]    [0]    [1 1 0]    [0]                        
     a__length(cons(N,L)) = [0 0 0]L + [0 0 0]N + [1] >= [0 0 0]L + [1] = s(a__length(mark(L)))
                            [0 0 0]    [0 0 0]    [1]    [0 0 0]    [0]                        
     
                     [1]    [1]             
     mark(zeros()) = [1] >= [1] = a__zeros()
                     [1]    [0]             
     
                        [1 1 0]     [1 0 0]     [0]    [1 1 0]     [1 0 0]     [0]                      
     mark(and(X1,X2)) = [0 0 0]X1 + [0 0 0]X2 + [1] >= [0 0 0]X1 + [0 0 0]X2 + [1] = a__and(mark(X1),X2)
                        [0 0 0]     [0 0 0]     [1]    [0 0 0]     [0 0 0]     [0]                      
     
                       [1 1 0]    [0]    [1 1 0]    [0]                     
     mark(length(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = a__length(mark(X))
                       [0 0 0]    [1]    [0 0 0]    [1]                     
     
                         [1 1 0]     [1 1 0]     [1]    [1 1 0]     [1 1 0]     [1]                    
     mark(cons(X1,X2)) = [0 0 0]X1 + [0 0 0]X2 + [1] >= [0 0 0]X1 + [0 0 0]X2 + [1] = cons(mark(X1),X2)
                         [0 0 0]     [0 0 0]     [1]    [0 0 0]     [0 0 0]     [1]                    
     
                 [0]    [0]      
     mark(0()) = [1] >= [0] = 0()
                 [1]    [0]      
     
                  [1]    [1]       
     mark(tt()) = [1] >= [0] = tt()
                  [1]    [0]       
     
                   [1]    [0]        
     mark(nil()) = [1] >= [1] = nil()
                   [1]    [0]        
     
                  [1 1 0]    [0]    [1 1 0]    [0]             
     mark(s(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = s(mark(X))
                  [0 0 0]    [1]    [0 0 0]    [0]             
     
                  [1]    [1]          
     a__zeros() = [1] >= [0] = zeros()
                  [0]    [0]          
     
                     [1 0 0]     [1 0 0]      [1 0 0]     [1 0 0]               
     a__and(X1,X2) = [0 1 0]X1 + [0 0 0]X2 >= [0 1 0]X1 + [0 0 0]X2 = and(X1,X2)
                     [0 0 0]     [0 0 0]      [0 0 0]     [0 0 0]               
     
                    [1 0 0]    [0]    [1 0 0]             
     a__length(X) = [0 1 0]X + [0] >= [0 1 0]X = length(X)
                    [0 0 0]    [1]    [0 0 0]             
    problem:
     a__zeros() -> cons(0(),zeros())
     a__length(cons(N,L)) -> s(a__length(mark(L)))
     mark(zeros()) -> a__zeros()
     mark(and(X1,X2)) -> a__and(mark(X1),X2)
     mark(length(X)) -> a__length(mark(X))
     mark(cons(X1,X2)) -> cons(mark(X1),X2)
     mark(0()) -> 0()
     mark(tt()) -> tt()
     mark(s(X)) -> s(mark(X))
     a__zeros() -> zeros()
     a__and(X1,X2) -> and(X1,X2)
     a__length(X) -> length(X)
    Matrix Interpretation Processor: dim=1
     
     interpretation:
      [length](x0) = x0 + 2,
      
      [and](x0, x1) = x0 + 5x1,
      
      [s](x0) = x0,
      
      [a__length](x0) = x0 + 2,
      
      [mark](x0) = x0 + 1,
      
      [a__and](x0, x1) = x0 + 5x1,
      
      [tt] = 7,
      
      [cons](x0, x1) = x0 + x1 + 1,
      
      [zeros] = 0,
      
      [0] = 0,
      
      [a__zeros] = 1
     orientation:
      a__zeros() = 1 >= 1 = cons(0(),zeros())
      
      a__length(cons(N,L)) = L + N + 3 >= L + 3 = s(a__length(mark(L)))
      
      mark(zeros()) = 1 >= 1 = a__zeros()
      
      mark(and(X1,X2)) = X1 + 5X2 + 1 >= X1 + 5X2 + 1 = a__and(mark(X1),X2)
      
      mark(length(X)) = X + 3 >= X + 3 = a__length(mark(X))
      
      mark(cons(X1,X2)) = X1 + X2 + 2 >= X1 + X2 + 2 = cons(mark(X1),X2)
      
      mark(0()) = 1 >= 0 = 0()
      
      mark(tt()) = 8 >= 7 = tt()
      
      mark(s(X)) = X + 1 >= X + 1 = s(mark(X))
      
      a__zeros() = 1 >= 0 = zeros()
      
      a__and(X1,X2) = X1 + 5X2 >= X1 + 5X2 = and(X1,X2)
      
      a__length(X) = X + 2 >= X + 2 = length(X)
     problem:
      a__zeros() -> cons(0(),zeros())
      a__length(cons(N,L)) -> s(a__length(mark(L)))
      mark(zeros()) -> a__zeros()
      mark(and(X1,X2)) -> a__and(mark(X1),X2)
      mark(length(X)) -> a__length(mark(X))
      mark(cons(X1,X2)) -> cons(mark(X1),X2)
      mark(s(X)) -> s(mark(X))
      a__and(X1,X2) -> and(X1,X2)
      a__length(X) -> length(X)
     DP Processor:
      DPs:
       a__length#(cons(N,L)) -> mark#(L)
       a__length#(cons(N,L)) -> a__length#(mark(L))
       mark#(zeros()) -> a__zeros#()
       mark#(and(X1,X2)) -> mark#(X1)
       mark#(and(X1,X2)) -> a__and#(mark(X1),X2)
       mark#(length(X)) -> mark#(X)
       mark#(length(X)) -> a__length#(mark(X))
       mark#(cons(X1,X2)) -> mark#(X1)
       mark#(s(X)) -> mark#(X)
      TRS:
       a__zeros() -> cons(0(),zeros())
       a__length(cons(N,L)) -> s(a__length(mark(L)))
       mark(zeros()) -> a__zeros()
       mark(and(X1,X2)) -> a__and(mark(X1),X2)
       mark(length(X)) -> a__length(mark(X))
       mark(cons(X1,X2)) -> cons(mark(X1),X2)
       mark(s(X)) -> s(mark(X))
       a__and(X1,X2) -> and(X1,X2)
       a__length(X) -> length(X)
      TDG Processor:
       DPs:
        a__length#(cons(N,L)) -> mark#(L)
        a__length#(cons(N,L)) -> a__length#(mark(L))
        mark#(zeros()) -> a__zeros#()
        mark#(and(X1,X2)) -> mark#(X1)
        mark#(and(X1,X2)) -> a__and#(mark(X1),X2)
        mark#(length(X)) -> mark#(X)
        mark#(length(X)) -> a__length#(mark(X))
        mark#(cons(X1,X2)) -> mark#(X1)
        mark#(s(X)) -> mark#(X)
       TRS:
        a__zeros() -> cons(0(),zeros())
        a__length(cons(N,L)) -> s(a__length(mark(L)))
        mark(zeros()) -> a__zeros()
        mark(and(X1,X2)) -> a__and(mark(X1),X2)
        mark(length(X)) -> a__length(mark(X))
        mark(cons(X1,X2)) -> cons(mark(X1),X2)
        mark(s(X)) -> s(mark(X))
        a__and(X1,X2) -> and(X1,X2)
        a__length(X) -> length(X)
       graph:
        mark#(length(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X)
        mark#(length(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1)
        mark#(length(X)) -> mark#(X) ->
        mark#(length(X)) -> a__length#(mark(X))
        mark#(length(X)) -> mark#(X) -> mark#(length(X)) -> mark#(X)
        mark#(length(X)) -> mark#(X) ->
        mark#(and(X1,X2)) -> a__and#(mark(X1),X2)
        mark#(length(X)) -> mark#(X) -> mark#(and(X1,X2)) -> mark#(X1)
        mark#(length(X)) -> mark#(X) ->
        mark#(zeros()) -> a__zeros#()
        mark#(length(X)) -> a__length#(mark(X)) ->
        a__length#(cons(N,L)) -> a__length#(mark(L))
        mark#(length(X)) -> a__length#(mark(X)) ->
        a__length#(cons(N,L)) -> mark#(L)
        mark#(and(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X)
        mark#(and(X1,X2)) -> mark#(X1) ->
        mark#(cons(X1,X2)) -> mark#(X1)
        mark#(and(X1,X2)) -> mark#(X1) ->
        mark#(length(X)) -> a__length#(mark(X))
        mark#(and(X1,X2)) -> mark#(X1) ->
        mark#(length(X)) -> mark#(X)
        mark#(and(X1,X2)) -> mark#(X1) ->
        mark#(and(X1,X2)) -> a__and#(mark(X1),X2)
        mark#(and(X1,X2)) -> mark#(X1) ->
        mark#(and(X1,X2)) -> mark#(X1)
        mark#(and(X1,X2)) -> mark#(X1) -> mark#(zeros()) -> a__zeros#()
        mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X)
        mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1)
        mark#(s(X)) -> mark#(X) -> mark#(length(X)) -> a__length#(mark(X))
        mark#(s(X)) -> mark#(X) -> mark#(length(X)) -> mark#(X)
        mark#(s(X)) -> mark#(X) -> mark#(and(X1,X2)) -> a__and#(mark(X1),X2)
        mark#(s(X)) -> mark#(X) -> mark#(and(X1,X2)) -> mark#(X1)
        mark#(s(X)) -> mark#(X) -> mark#(zeros()) -> a__zeros#()
        mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X)
        mark#(cons(X1,X2)) -> mark#(X1) ->
        mark#(cons(X1,X2)) -> mark#(X1)
        mark#(cons(X1,X2)) -> mark#(X1) ->
        mark#(length(X)) -> a__length#(mark(X))
        mark#(cons(X1,X2)) -> mark#(X1) ->
        mark#(length(X)) -> mark#(X)
        mark#(cons(X1,X2)) -> mark#(X1) ->
        mark#(and(X1,X2)) -> a__and#(mark(X1),X2)
        mark#(cons(X1,X2)) -> mark#(X1) ->
        mark#(and(X1,X2)) -> mark#(X1)
        mark#(cons(X1,X2)) -> mark#(X1) ->
        mark#(zeros()) -> a__zeros#()
        a__length#(cons(N,L)) -> mark#(L) ->
        mark#(s(X)) -> mark#(X)
        a__length#(cons(N,L)) -> mark#(L) ->
        mark#(cons(X1,X2)) -> mark#(X1)
        a__length#(cons(N,L)) -> mark#(L) ->
        mark#(length(X)) -> a__length#(mark(X))
        a__length#(cons(N,L)) -> mark#(L) ->
        mark#(length(X)) -> mark#(X)
        a__length#(cons(N,L)) -> mark#(L) ->
        mark#(and(X1,X2)) -> a__and#(mark(X1),X2)
        a__length#(cons(N,L)) -> mark#(L) ->
        mark#(and(X1,X2)) -> mark#(X1)
        a__length#(cons(N,L)) -> mark#(L) ->
        mark#(zeros()) -> a__zeros#()
        a__length#(cons(N,L)) -> a__length#(mark(L)) ->
        a__length#(cons(N,L)) -> a__length#(mark(L))
        a__length#(cons(N,L)) -> a__length#(mark(L)) -> a__length#(cons(N,L)) -> mark#(L)
       SCC Processor:
        #sccs: 1
        #rules: 7
        #arcs: 39/81
        DPs:
         mark#(length(X)) -> mark#(X)
         mark#(and(X1,X2)) -> mark#(X1)
         mark#(length(X)) -> a__length#(mark(X))
         a__length#(cons(N,L)) -> mark#(L)
         mark#(cons(X1,X2)) -> mark#(X1)
         mark#(s(X)) -> mark#(X)
         a__length#(cons(N,L)) -> a__length#(mark(L))
        TRS:
         a__zeros() -> cons(0(),zeros())
         a__length(cons(N,L)) -> s(a__length(mark(L)))
         mark(zeros()) -> a__zeros()
         mark(and(X1,X2)) -> a__and(mark(X1),X2)
         mark(length(X)) -> a__length(mark(X))
         mark(cons(X1,X2)) -> cons(mark(X1),X2)
         mark(s(X)) -> s(mark(X))
         a__and(X1,X2) -> and(X1,X2)
         a__length(X) -> length(X)
        CDG Processor:
         DPs:
          mark#(length(X)) -> mark#(X)
          mark#(and(X1,X2)) -> mark#(X1)
          mark#(length(X)) -> a__length#(mark(X))
          a__length#(cons(N,L)) -> mark#(L)
          mark#(cons(X1,X2)) -> mark#(X1)
          mark#(s(X)) -> mark#(X)
          a__length#(cons(N,L)) -> a__length#(mark(L))
         TRS:
          a__zeros() -> cons(0(),zeros())
          a__length(cons(N,L)) -> s(a__length(mark(L)))
          mark(zeros()) -> a__zeros()
          mark(and(X1,X2)) -> a__and(mark(X1),X2)
          mark(length(X)) -> a__length(mark(X))
          mark(cons(X1,X2)) -> cons(mark(X1),X2)
          mark(s(X)) -> s(mark(X))
          a__and(X1,X2) -> and(X1,X2)
          a__length(X) -> length(X)
         graph:
          mark#(length(X)) -> a__length#(mark(X)) ->
          a__length#(cons(N,L)) -> mark#(L)
          mark#(length(X)) -> a__length#(mark(X)) ->
          a__length#(cons(N,L)) -> a__length#(mark(L))
          a__length#(cons(N,L)) -> a__length#(mark(L)) ->
          a__length#(cons(N,L)) -> mark#(L)
          a__length#(cons(N,L)) -> a__length#(mark(L)) ->
          a__length#(cons(N,L)) -> a__length#(mark(L))
         SCC Processor:
          #sccs: 1
          #rules: 1
          #arcs: 4/49
          DPs:
           a__length#(cons(N,L)) -> a__length#(mark(L))
          TRS:
           a__zeros() -> cons(0(),zeros())
           a__length(cons(N,L)) -> s(a__length(mark(L)))
           mark(zeros()) -> a__zeros()
           mark(and(X1,X2)) -> a__and(mark(X1),X2)
           mark(length(X)) -> a__length(mark(X))
           mark(cons(X1,X2)) -> cons(mark(X1),X2)
           mark(s(X)) -> s(mark(X))
           a__and(X1,X2) -> and(X1,X2)
           a__length(X) -> length(X)
          Open