YES

TRS:

  a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z)))
  a____(X,nil()) -> mark(X)
  a____(nil(),X) -> mark(X)
  a__and(tt(),X) -> mark(X)
  a__isNePal(__(I,__(P,I))) -> tt()
  mark(__(X1,X2)) -> a____(mark(X1),mark(X2))
  mark(and(X1,X2)) -> a__and(mark(X1),X2)
  mark(isNePal(X)) -> a__isNePal(mark(X))
  mark(nil()) -> nil()
  mark(tt()) -> tt()
  a____(X1,X2) -> __(X1,X2)
  a__and(X1,X2) -> and(X1,X2)
  a__isNePal(X) -> isNePal(X)

linear polynomial interpretations on N:

  a_____A(x1,x2) = x1 + x2 + 3
  a____#_A(x1,x2) = x1 + x2 + 3
  ___A(x1,x2) = x1 + x2 + 3
  __#_A(x1,x2) = x1 + x2 + 2
  mark_A(x1) = x1
  mark#_A(x1) = x1 + 1
  nil_A = 1
  nil#_A = 0
  a__and_A(x1,x2) = x1 + x2 + 2
  a__and#_A(x1,x2) = x2 + 2
  tt_A = 3
  tt#_A = 3
  a__isNePal_A(x1) = x1 + 4
  a__isNePal#_A(x1) = 4
  and_A(x1,x2) = x1 + x2 + 2
  and#_A(x1,x2) = 0
  isNePal_A(x1) = x1 + 4
  isNePal#_A(x1) = 0

precedence:

  a____ > __ = and > mark > nil = a__and = tt > a__isNePal > isNePal