YES
TRS:
 {            __(X, nil()) -> X,
           __(__(X, Y), Z) -> __(X, __(Y, Z)),
              __(nil(), X) -> X,
               activate(X) -> X,
              and(tt(), X) -> activate(X),
  isNePal(__(I, __(P, I))) -> tt()}
 RUF:
  Strict:
   {__(__(X, Y), Z) -> __(X, __(Y, Z)),
        activate(X) -> X}
  Weak:
   {}
  RUF:
   Strict:
    {__(__(X, Y), Z) -> __(X, __(Y, Z))}
   Weak:
    {}
   DP:
    Strict:
     {__#(__(X, Y), Z) -> __#(X, __(Y, Z)),
      __#(__(X, Y), Z) -> __#(Y, Z)}
    Weak:
    {__(__(X, Y), Z) -> __(X, __(Y, Z))}
    EDG:
     {(__#(__(X, Y), Z) -> __#(Y, Z), __#(__(X, Y), Z) -> __#(Y, Z))
      (__#(__(X, Y), Z) -> __#(Y, Z), __#(__(X, Y), Z) -> __#(X, __(Y, Z)))
      (__#(__(X, Y), Z) -> __#(X, __(Y, Z)), __#(__(X, Y), Z) -> __#(X, __(Y, Z)))
      (__#(__(X, Y), Z) -> __#(X, __(Y, Z)), __#(__(X, Y), Z) -> __#(Y, Z))}
     SCCS:
      Scc:
       {__#(__(X, Y), Z) -> __#(X, __(Y, Z)),
        __#(__(X, Y), Z) -> __#(Y, Z)}
      SCC:
       Strict:
        {__#(__(X, Y), Z) -> __#(X, __(Y, Z)),
         __#(__(X, Y), Z) -> __#(Y, Z)}
       Weak:
       {__(__(X, Y), Z) -> __(X, __(Y, Z))}
       SPSC:
        Simple Projection:
         pi(__#) = 0
        Strict:
         {__#(__(X, Y), Z) -> __#(Y, Z)}
        EDG:
         {(__#(__(X, Y), Z) -> __#(Y, Z), __#(__(X, Y), Z) -> __#(Y, Z))}
         SCCS:
          Scc:
           {__#(__(X, Y), Z) -> __#(Y, Z)}
          SCC:
           Strict:
            {__#(__(X, Y), Z) -> __#(Y, Z)}
           Weak:
           {__(__(X, Y), Z) -> __(X, __(Y, Z))}
           SPSC:
            Simple Projection:
             pi(__#) = 0
            Strict:
             {}
            Qed