YES
Input TRS:
      1: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z)))
      2: a____(X,nil()) -> mark(X)
      3: a____(nil(),X) -> mark(X)
      4: a__and(tt(),X) -> mark(X)
      5: a__isNePal(__(I,__(P,I))) -> tt()
      6: mark(__(X1,X2)) -> a____(mark(X1),mark(X2))
      7: mark(and(X1,X2)) -> a__and(mark(X1),X2)
      8: mark(isNePal(X)) -> a__isNePal(mark(X))
      9: mark(nil()) -> nil()
      10: mark(tt()) -> tt()
      11: a____(X1,X2) -> __(X1,X2)
      12: a__and(X1,X2) -> and(X1,X2)
      13: a__isNePal(X) -> isNePal(X)
Number of strict rules: 13
Direct POLO(bPol) ... removes: 4 3 5 2
      and	w: x1 + x2 + 2998
      isNePal	w: x1 + 1
      a____	w: x1 + x2 + 1
      nil	w: 1
      mark	w: x1
      a__isNePal	w: x1 + 1
      tt	w: 2
      a__and	w: x1 + x2 + 2998
      __	w: x1 + x2 + 1
Number of strict rules: 9
Direct POLO(bPol) ... removes: 1
      and	w: x1 + x2 + 2998
      isNePal	w: x1 + 1
      a____	w: 2 * x1 + x2 + 1
      nil	w: 18458
      mark	w: x1
      a__isNePal	w: x1 + 1
      tt	w: 1
      a__and	w: x1 + x2 + 2998
      __	w: 2 * x1 + x2 + 1
Number of strict rules: 8
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #mark(__(X1,X2)) -> #a____(mark(X1),mark(X2))
     #2: #mark(__(X1,X2)) -> #mark(X1)
     #3: #mark(__(X1,X2)) -> #mark(X2)
     #4: #mark(and(X1,X2)) -> #a__and(mark(X1),X2)
     #5: #mark(and(X1,X2)) -> #mark(X1)
     #6: #mark(isNePal(X)) -> #a__isNePal(mark(X))
     #7: #mark(isNePal(X)) -> #mark(X)
Number of SCCs: 1, DPs: 4
  SCC { #2 #3 #5 #7 }
POLO(Sum)... succeeded.
      #a__isNePal	w: 0
      and	w: x1 + 1
      isNePal	w: x1 + 1
      #a____	w: 0
      a____	w: 0
      #mark	w: x1
      #a__and	w: 0
      nil	w: 0
      mark	w: 0
      a__isNePal	w: 0
      tt	w: 0
      a__and	w: 0
      __	w: x1 + x2 + 1
    USABLE RULES: { }
    Removed DPs: #2 #3 #5 #7
Number of SCCs: 0, DPs: 0