YES(?,O(n^2))

Problem:
 __(__(X,Y),Z) -> __(X,__(Y,Z))
 __(X,nil()) -> X
 __(nil(),X) -> X
 and(tt(),X) -> activate(X)
 isNePal(__(I,__(P,I))) -> tt()
 activate(X) -> X

Proof:
 Matrix Interpretation Processor:
  dimension: 2
  interpretation:
                        [2]
   [isNePal](x0) = x0 + [8],
   
                         [4]
   [activate](x0) = x0 + [0],
   
                   [1 1]          [3]
   [and](x0, x1) = [0 1]x0 + x1 + [1],
   
          [4]
   [tt] = [9],
   
           [0]
   [nil] = [1],
   
                  [1 1]          [2]
   [__](x0, x1) = [0 1]x0 + x1 + [8]
  orientation:
                   [1 2]    [1 1]        [12]    [1 1]    [1 1]        [4 ]                
   __(__(X,Y),Z) = [0 1]X + [0 1]Y + Z + [16] >= [0 1]X + [0 1]Y + Z + [16] = __(X,__(Y,Z))
   
                 [1 1]    [2]         
   __(X,nil()) = [0 1]X + [9] >= X = X
   
                     [3]         
   __(nil(),X) = X + [9] >= X = X
   
                     [16]        [4]              
   and(tt(),X) = X + [10] >= X + [0] = activate(X)
   
                            [2 1]    [1 1]    [6 ]    [4]       
   isNePal(__(I,__(P,I))) = [0 2]I + [0 1]P + [24] >= [9] = tt()
   
                     [4]         
   activate(X) = X + [0] >= X = X
  problem:
   
  Qed