YES

TRS:

  __(__(X,Y),Z) -> __(X,__(Y,Z))
  __(X,nil()) -> X
  __(nil(),X) -> X
  U11(tt()) -> U12(tt())
  U12(tt()) -> tt()
  isNePal(__(I,__(P,I))) -> U11(tt())
  activate(X) -> X

max/plus interpretations on N:

  ___A(x1,x2) = max{1, 1 + x1, x2}
  __#_A(x1,x2) = max{1, 1, 1}
  nil_A = 0
  nil#_A = 0
  U11_A(x1) = max{3, 1}
  U11#_A(x1) = max{2, 3}
  tt_A = 3
  tt#_A = 0
  U12_A(x1) = max{2, 3}
  U12#_A(x1) = max{3, 3}
  isNePal_A(x1) = max{3, 0}
  isNePal#_A(x1) = max{3, -1}
  activate_A(x1) = max{0, x1}
  activate#_A(x1) = max{0, x1}

precedence:

  __ = isNePal > U11 > nil = tt = activate > U12