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 Order(PosReal,>,Poly) ... removes: 4 3 5 2
   and(x1,x2)	weight: (/ 2249 8) + 2 * x1 + x2
isNePal(x1)	weight: (/ 1 8) + x1
 a____(x1,x2)	weight: (/ 1 8) + x1 + x2
   nil()	weight: 0
  mark(x1)	weight: x1
a__isNePal(x1)	weight: (/ 1 8) + x1
    tt()	weight: 0
a__and(x1,x2)	weight: (/ 2249 8) + 2 * x1 + x2
    __(x1,x2)	weight: (/ 1 8) + x1 + x2
Number of strict rules: 9
Direct Order(PosReal,>,Poly) ... removes: 1
   and(x1,x2)	weight: (/ 1125 4) + x1 + x2
isNePal(x1)	weight: (/ 1 4) + x1
 a____(x1,x2)	weight: (/ 11989 4) + 2 * x1 + x2
   nil()	weight: 0
  mark(x1)	weight: x1
a__isNePal(x1)	weight: (/ 1 4) + x1
    tt()	weight: 0
a__and(x1,x2)	weight: (/ 1125 4) + x1 + x2
    __(x1,x2)	weight: (/ 11989 4) + 2 * x1 + x2
Number of strict rules: 8
Direct Order(PosReal,>,Poly) ... removes: 8 7 12 11 13 6
   and(x1,x2)	weight: 281 + x1 + x2
isNePal(x1)	weight: (/ 1 4) + x1
 a____(x1,x2)	weight: (/ 47953 8) + 2 * x1 + x2
   nil()	weight: 0
  mark(x1)	weight: 2 * x1
a__isNePal(x1)	weight: (/ 3 8) + x1
    tt()	weight: 0
a__and(x1,x2)	weight: (/ 2249 8) + x1 + x2
    __(x1,x2)	weight: (/ 23977 8) + 2 * x1 + x2
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... removes: 10 9
   and(x1,x2)	weight: (/ 2249 8) + x1 + x2
isNePal(x1)	weight: (/ 1 4) + x1
 a____(x1,x2)	weight: (/ 5993 2) + 2 * x1 + 2 * x2
   nil()	weight: 0
  mark(x1)	weight: (/ 1 8) + 2 * x1
a__isNePal(x1)	weight: (/ 3 8) + x1
    tt()	weight: 0
a__and(x1,x2)	weight: (/ 1125 4) + 2 * x1 + x2
    __(x1,x2)	weight: (/ 23977 8) + 2 * x1 + x2
Number of strict rules: 0
YES