YES

TRS:

  __(__(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

linear polynomial interpretations on N:

  ___A(x1,x2) = x1 + x2 + 2
  __#_A(x1,x2) = x1 + x2 + 2
  nil_A = 1
  nil#_A = 1
  and_A(x1,x2) = x1 + x2 + 1
  and#_A(x1,x2) = x1 + x2 + 1
  tt_A = 1
  tt#_A = 1
  activate_A(x1) = x1 + 1
  activate#_A(x1) = x1 + 1
  isNePal_A(x1) = x1 + 1
  isNePal#_A(x1) = x1 + 1

precedence:

  __ > nil = and = tt > activate > isNePal