Input TRS:
    1: active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
    2: active(__(X,nil())) -> mark(X)
    3: active(__(nil(),X)) -> mark(X)
    4: active(and(tt(),X)) -> mark(X)
    5: active(isNePal(__(I,__(P,I)))) -> mark(tt())
    6: active(__(X1,X2)) -> __(active(X1),X2)
    7: active(__(X1,X2)) -> __(X1,active(X2))
    8: active(and(X1,X2)) -> and(active(X1),X2)
    9: active(isNePal(X)) -> isNePal(active(X))
    10: __(mark(X1),X2) -> mark(__(X1,X2))
    11: __(X1,mark(X2)) -> mark(__(X1,X2))
    12: and(mark(X1),X2) -> mark(and(X1,X2))
    13: isNePal(mark(X)) -> mark(isNePal(X))
    14: proper(__(X1,X2)) -> __(proper(X1),proper(X2))
    15: proper(nil()) -> ok(nil())
    16: proper(and(X1,X2)) -> and(proper(X1),proper(X2))
    17: proper(tt()) -> ok(tt())
    18: proper(isNePal(X)) -> isNePal(proper(X))
    19: __(ok(X1),ok(X2)) -> ok(__(X1,X2))
    20: and(ok(X1),ok(X2)) -> ok(and(X1,X2))
    21: isNePal(ok(X)) -> ok(isNePal(X))
    22: top(mark(X)) -> top(proper(X))
    23: top(ok(X)) -> top(active(X))
Number of strict rules: 23
Direct Order(PosReal,>,Poly) ... removes: 4 3 5 2
   top(x1)	weight: x1
   and(x1,x2)	weight: (/ 1 4) + x1 + x2
isNePal(x1)	weight: (/ 1 4) + x1
proper(x1)	weight: x1
    ok(x1)	weight: x1
   nil()	weight: 0
  mark(x1)	weight: x1
active(x1)	weight: x1
    tt()	weight: 0
    __(x1,x2)	weight: (/ 148893 4) + x1 + x2
Number of strict rules: 19
Direct Order(PosReal,>,Poly) ... removes: 1
   top(x1)	weight: x1
   and(x1,x2)	weight: (/ 1 4) + x1 + x2
isNePal(x1)	weight: (/ 1 4) + x1
proper(x1)	weight: x1
    ok(x1)	weight: x1
   nil()	weight: 0
  mark(x1)	weight: x1
active(x1)	weight: x1
    tt()	weight: 0
    __(x1,x2)	weight: (/ 148893 4) + 2 * x1 + x2
Number of strict rules: 18
Direct Order(PosReal,>,Poly) ... removes: 22
   top(x1)	weight: x1
   and(x1,x2)	weight: x1 + x2
isNePal(x1)	weight: x1
proper(x1)	weight: x1
    ok(x1)	weight: 2 * x1
   nil()	weight: 0
  mark(x1)	weight: (/ 1 4) + x1
active(x1)	weight: x1
    tt()	weight: 0
    __(x1,x2)	weight: x1 + x2
Number of strict rules: 17
Direct Order(PosReal,>,Poly) ... removes: 11
   top(x1)	weight: x1
   and(x1,x2)	weight: x1 + x2
isNePal(x1)	weight: x1
proper(x1)	weight: x1
    ok(x1)	weight: 2 * x1
   nil()	weight: 0
  mark(x1)	weight: (/ 1 4) + x1
active(x1)	weight: x1
    tt()	weight: 0
    __(x1,x2)	weight: x1 + 2 * x2
Number of strict rules: 16
Direct Order(PosReal,>,Poly) ... removes: 8 7 6
   top(x1)	weight: 2 * x1
   and(x1,x2)	weight: (/ 1 4) + 2 * x1 + x2
isNePal(x1)	weight: (/ 1 8) + 2 * x1
proper(x1)	weight: (/ 1 8) + 2 * x1
    ok(x1)	weight: (/ 1 8) + 2 * x1
   nil()	weight: 0
  mark(x1)	weight: x1
active(x1)	weight: (/ 1 8) + 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: (/ 1 8) + x1 + x2
Number of strict rules: 13
Direct Order(PosReal,>,Poly) ... removes: 23 9
   top(x1)	weight: 2 * x1
   and(x1,x2)	weight: 65321 + 2 * x1 + x2
isNePal(x1)	weight: (/ 65321 2) + 2 * x1
proper(x1)	weight: (/ 65321 2) + 2 * x1
    ok(x1)	weight: (/ 65321 2) + 2 * x1
   nil()	weight: 0
  mark(x1)	weight: x1
active(x1)	weight: (/ 1 4) + 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: (/ 65321 2) + x1 + x2
Number of strict rules: 11
Direct Order(PosReal,>,Poly) ... removes: 13
   top(x1)	weight: x1
   and(x1,x2)	weight: 41979 + x1 + x2
isNePal(x1)	weight: 41979 + 2 * x1
proper(x1)	weight: 41979 + 2 * x1
    ok(x1)	weight: 41979 + 2 * x1
   nil()	weight: 0
  mark(x1)	weight: 19503 + x1
active(x1)	weight: 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: 41979 + x1 + x2
Number of strict rules: 10
Direct Order(PosReal,>,Poly) ... removes: 12
   top(x1)	weight: x1
   and(x1,x2)	weight: 101343 + 2 * x1 + x2
isNePal(x1)	weight: x1
proper(x1)	weight: (/ 101343 2) + 2 * x1
    ok(x1)	weight: (/ 101343 2) + 2 * x1
   nil()	weight: 0
  mark(x1)	weight: (/ 105913 4) + x1
active(x1)	weight: (/ 1 4) + 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: 101343 + x1 + 2 * x2
Number of strict rules: 9
Direct Order(PosReal,>,Poly) ... removes: 10
   top(x1)	weight: x1
   and(x1,x2)	weight: x1 + x2
isNePal(x1)	weight: (/ 1 4) + x1
proper(x1)	weight: x1
    ok(x1)	weight: x1
   nil()	weight: 0
  mark(x1)	weight: (/ 105913 4) + x1
active(x1)	weight: 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: 2 * x1 + x2
Number of strict rules: 8
Direct Order(PosReal,>,Poly) ... removes: 15 17
   top(x1)	weight: x1
   and(x1,x2)	weight: 5680 + x1 + x2
isNePal(x1)	weight: x1
proper(x1)	weight: 5680 + 2 * x1
    ok(x1)	weight: x1
   nil()	weight: 0
  mark(x1)	weight: 26479 + x1
active(x1)	weight: 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: 5680 + x1 + x2
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... removes: 16
   top(x1)	weight: x1
   and(x1,x2)	weight: 2488 + x1 + x2
isNePal(x1)	weight: x1
proper(x1)	weight: (/ 4975 2) + 2 * x1
    ok(x1)	weight: x1
   nil()	weight: 0
  mark(x1)	weight: (/ 52957 2) + x1
active(x1)	weight: 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: (/ 4975 2) + x1 + x2
Number of strict rules: 5
Direct Order(PosReal,>,Poly) ... removes: 14
   top(x1)	weight: x1
   and(x1,x2)	weight: 4687 + x1 + x2
isNePal(x1)	weight: x1
proper(x1)	weight: (/ 4975 2) + 2 * x1
    ok(x1)	weight: x1
   nil()	weight: 0
  mark(x1)	weight: (/ 52957 2) + x1
active(x1)	weight: 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: 2488 + x1 + x2
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... removes: 18
   top(x1)	weight: x1
   and(x1,x2)	weight: (/ 9373 2) + x1 + x2
isNePal(x1)	weight: (/ 1 4) + x1
proper(x1)	weight: (/ 9949 4) + 2 * x1
    ok(x1)	weight: x1
   nil()	weight: 0
  mark(x1)	weight: (/ 105913 4) + x1
active(x1)	weight: 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: (/ 4975 2) + x1 + x2
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 19 20
   top(x1)	weight: x1
   and(x1,x2)	weight: (/ 75553 16) + 2 * x1 + 2 * x2
isNePal(x1)	weight: x1
proper(x1)	weight: 2 * x1
    ok(x1)	weight: (/ 1 16) + x1
   nil()	weight: 0
  mark(x1)	weight: (/ 423649 16) + x1
active(x1)	weight: 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: (/ 1 16) + 2 * x1 + x2
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 21
   top(x1)	weight: x1
   and(x1,x2)	weight: (/ 18889 4) + x1 + x2
isNePal(x1)	weight: 2 * x1
proper(x1)	weight: 2 * x1
    ok(x1)	weight: (/ 1 4) + x1
   nil()	weight: 0
  mark(x1)	weight: (/ 105913 4) + x1
active(x1)	weight: 2 * x1
    tt()	weight: 0
    __(x1,x2)	weight: x1 + x2
Number of strict rules: 0
YES