Input TRS:
    1: |app'|(|app'|(minus(),x),|0|()) -> x
    2: |app'|(|app'|(minus(),|app'|(s(),x)),|app'|(s(),y)) -> |app'|(|app'|(minus(),x),y)
    3: |app'|(|app'|(minus(),|app'|(|app'|(minus(),x),y)),z) -> |app'|(|app'|(minus(),x),|app'|(|app'|(plus(),y),z))
    4: |app'|(|app'|(quot(),|0|()),|app'|(s(),y)) -> |0|()
    5: |app'|(|app'|(quot(),|app'|(s(),x)),|app'|(s(),y)) -> |app'|(s(),|app'|(|app'|(quot(),|app'|(|app'|(minus(),x),y)),|app'|(s(),y)))
    6: |app'|(|app'|(plus(),|0|()),y) -> y
    7: |app'|(|app'|(plus(),|app'|(s(),x)),y) -> |app'|(s(),|app'|(|app'|(plus(),x),y))
    8: |app'|(|app'|(app(),nil()),k) -> k
    9: |app'|(|app'|(app(),l),nil()) -> l
    10: |app'|(|app'|(app(),|app'|(|app'|(cons(),x),l)),k) -> |app'|(|app'|(cons(),x),|app'|(|app'|(app(),l),k))
    11: |app'|(sum(),|app'|(|app'|(cons(),x),nil())) -> |app'|(|app'|(cons(),x),nil())
    12: |app'|(sum(),|app'|(|app'|(cons(),x),|app'|(|app'|(cons(),y),l))) -> |app'|(sum(),|app'|(|app'|(cons(),|app'|(|app'|(plus(),x),y)),l))
    13: |app'|(sum(),|app'|(|app'|(app(),l),|app'|(|app'|(cons(),x),|app'|(|app'|(cons(),y),k)))) -> |app'|(sum(),|app'|(|app'|(app(),l),|app'|(sum(),|app'|(|app'|(cons(),x),|app'|(|app'|(cons(),y),k)))))
    14: |app'|(|app'|(map(),f),nil()) -> nil()
    15: |app'|(|app'|(map(),f),|app'|(|app'|(cons(),x),xs)) -> |app'|(|app'|(cons(),|app'|(f,x)),|app'|(|app'|(map(),f),xs))
    16: |app'|(|app'|(filter(),f),nil()) -> nil()
    17: |app'|(|app'|(filter(),f),|app'|(|app'|(cons(),x),xs)) -> |app'|(|app'|(|app'|(|app'|(filter2(),|app'|(f,x)),f),x),xs)
    18: |app'|(|app'|(|app'|(|app'|(filter2(),true()),f),x),xs) -> |app'|(|app'|(cons(),x),|app'|(|app'|(filter(),f),xs))
    19: |app'|(|app'|(|app'|(|app'|(filter2(),false()),f),x),xs) -> |app'|(|app'|(filter(),f),xs)
Number of strict rules: 19
Direct Order(PosReal,>,Poly) ... failed.
Freezing |app'|
1: |app'|❆2_minus(x,|0|()) -> x
2: |app'|❆2_minus(|app'|❆1_s(x),|app'|❆1_s(y)) -> |app'|❆2_minus(x,y)
3: |app'|❆2_minus(|app'|❆2_minus(x,y),z) -> |app'|❆2_minus(x,|app'|❆2_plus(y,z))
4: |app'|❆2_quot(|0|(),|app'|❆1_s(y)) -> |0|()
5: |app'|❆2_quot(|app'|❆1_s(x),|app'|❆1_s(y)) -> |app'|❆1_s(|app'|❆2_quot(|app'|❆2_minus(x,y),|app'|❆1_s(y)))
6: |app'|❆2_plus(|0|(),y) -> y
7: |app'|❆2_plus(|app'|❆1_s(x),y) -> |app'|❆1_s(|app'|❆2_plus(x,y))
8: |app'|❆2_app(nil(),k) -> k
9: |app'|❆2_app(l,nil()) -> l
10: |app'|❆2_app(|app'|❆2_cons(x,l),k) -> |app'|❆2_cons(x,|app'|❆2_app(l,k))
11: |app'|❆1_sum(|app'|❆2_cons(x,nil())) -> |app'|❆2_cons(x,nil())
12: |app'|❆1_sum(|app'|❆2_cons(x,|app'|❆2_cons(y,l))) -> |app'|❆1_sum(|app'|❆2_cons(|app'|❆2_plus(x,y),l))
13: |app'|❆1_sum(|app'|❆2_app(l,|app'|❆2_cons(x,|app'|❆2_cons(y,k)))) -> |app'|❆1_sum(|app'|❆2_app(l,|app'|❆1_sum(|app'|❆2_cons(x,|app'|❆2_cons(y,k)))))
14: |app'|❆2_map(f,nil()) -> nil()
15: |app'|❆2_map(f,|app'|❆2_cons(x,xs)) -> |app'|❆2_cons(|app'|(f,x),|app'|❆2_map(f,xs))
16: |app'|❆2_filter(f,nil()) -> nil()
17: |app'|❆2_filter(f,|app'|❆2_cons(x,xs)) -> |app'|❆4_filter2(|app'|(f,x),f,x,xs)
18: |app'|❆4_filter2(true(),f,x,xs) -> |app'|❆2_cons(x,|app'|❆2_filter(f,xs))
19: |app'|❆4_filter2(false(),f,x,xs) -> |app'|❆2_filter(f,xs)
20: |app'|(plus(),_1) ->= |app'|❆1_plus(_1)
21: |app'|(|app'|❆1_plus(_1),_2) ->= |app'|❆2_plus(_1,_2)
22: |app'|(cons(),_1) ->= |app'|❆1_cons(_1)
23: |app'|(|app'|❆1_cons(_1),_2) ->= |app'|❆2_cons(_1,_2)
24: |app'|(quot(),_1) ->= |app'|❆1_quot(_1)
25: |app'|(|app'|❆1_quot(_1),_2) ->= |app'|❆2_quot(_1,_2)
26: |app'|(s(),_1) ->= |app'|❆1_s(_1)
27: |app'|(filter(),_1) ->= |app'|❆1_filter(_1)
28: |app'|(|app'|❆1_filter(_1),_2) ->= |app'|❆2_filter(_1,_2)
29: |app'|(map(),_1) ->= |app'|❆1_map(_1)
30: |app'|(|app'|❆1_map(_1),_2) ->= |app'|❆2_map(_1,_2)
31: |app'|(minus(),_1) ->= |app'|❆1_minus(_1)
32: |app'|(|app'|❆1_minus(_1),_2) ->= |app'|❆2_minus(_1,_2)
33: |app'|(filter2(),_1) ->= |app'|❆1_filter2(_1)
34: |app'|(|app'|❆1_filter2(_1),_2) ->= |app'|❆2_filter2(_1,_2)
35: |app'|(|app'|❆2_filter2(_1,_2),_3) ->= |app'|❆3_filter2(_1,_2,_3)
36: |app'|(|app'|❆3_filter2(_1,_2,_3),_4) ->= |app'|❆4_filter2(_1,_2,_3,_4)
37: |app'|(sum(),_1) ->= |app'|❆1_sum(_1)
38: |app'|(app(),_1) ->= |app'|❆1_app(_1)
39: |app'|(|app'|❆1_app(_1),_2) ->= |app'|❆2_app(_1,_2)
Number of strict rules: 19
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #|app'|❆2_minus(|app'|❆1_s(x),|app'|❆1_s(y)) -> #|app'|❆2_minus(x,y)
   #2: #|app'|(sum(),_1) ->? #|app'|❆1_sum(_1)
   #3: #|app'|❆1_sum(|app'|❆2_app(l,|app'|❆2_cons(x,|app'|❆2_cons(y,k)))) -> #|app'|❆1_sum(|app'|❆2_app(l,|app'|❆1_sum(|app'|❆2_cons(x,|app'|❆2_cons(y,k)))))
   #4: #|app'|❆1_sum(|app'|❆2_app(l,|app'|❆2_cons(x,|app'|❆2_cons(y,k)))) -> #|app'|❆2_app(l,|app'|❆1_sum(|app'|❆2_cons(x,|app'|❆2_cons(y,k))))
   #5: #|app'|❆1_sum(|app'|❆2_app(l,|app'|❆2_cons(x,|app'|❆2_cons(y,k)))) -> #|app'|❆1_sum(|app'|❆2_cons(x,|app'|❆2_cons(y,k)))
   #6: #|app'|❆1_sum(|app'|❆2_cons(x,|app'|❆2_cons(y,l))) -> #|app'|❆1_sum(|app'|❆2_cons(|app'|❆2_plus(x,y),l))
   #7: #|app'|❆1_sum(|app'|❆2_cons(x,|app'|❆2_cons(y,l))) -> #|app'|❆2_plus(x,y)
   #8: #|app'|(|app'|❆1_map(_1),_2) ->? #|app'|❆2_map(_1,_2)
   #9: #|app'|(|app'|❆1_quot(_1),_2) ->? #|app'|❆2_quot(_1,_2)
   #10: #|app'|❆2_plus(|app'|❆1_s(x),y) -> #|app'|❆2_plus(x,y)
   #11: #|app'|(|app'|❆1_app(_1),_2) ->? #|app'|❆2_app(_1,_2)
   #12: #|app'|❆2_app(|app'|❆2_cons(x,l),k) -> #|app'|❆2_app(l,k)
   #13: #|app'|❆2_quot(|app'|❆1_s(x),|app'|❆1_s(y)) -> #|app'|❆2_quot(|app'|❆2_minus(x,y),|app'|❆1_s(y))
   #14: #|app'|❆2_quot(|app'|❆1_s(x),|app'|❆1_s(y)) -> #|app'|❆2_minus(x,y)
   #15: #|app'|(|app'|❆1_filter(_1),_2) ->? #|app'|❆2_filter(_1,_2)
   #16: #|app'|❆2_filter(f,|app'|❆2_cons(x,xs)) -> #|app'|❆4_filter2(|app'|(f,x),f,x,xs)
   #17: #|app'|❆2_filter(f,|app'|❆2_cons(x,xs)) -> #|app'|(f,x)
   #18: #|app'|(|app'|❆1_minus(_1),_2) ->? #|app'|❆2_minus(_1,_2)
   #19: #|app'|❆4_filter2(false(),f,x,xs) -> #|app'|❆2_filter(f,xs)
   #20: #|app'|(|app'|❆3_filter2(_1,_2,_3),_4) ->? #|app'|❆4_filter2(_1,_2,_3,_4)
   #21: #|app'|(|app'|❆1_plus(_1),_2) ->? #|app'|❆2_plus(_1,_2)
   #22: #|app'|❆2_minus(|app'|❆2_minus(x,y),z) -> #|app'|❆2_minus(x,|app'|❆2_plus(y,z))
   #23: #|app'|❆2_minus(|app'|❆2_minus(x,y),z) -> #|app'|❆2_plus(y,z)
   #24: #|app'|❆2_map(f,|app'|❆2_cons(x,xs)) -> #|app'|(f,x)
   #25: #|app'|❆2_map(f,|app'|❆2_cons(x,xs)) -> #|app'|❆2_map(f,xs)
   #26: #|app'|❆4_filter2(true(),f,x,xs) -> #|app'|❆2_filter(f,xs)
Number of SCCs: 7, DPs: 16, edges: 29
	SCC { #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
#|app'|(x1,x2)	weight: 0
|app'|❆3_filter2(x1,x2,x3)	weight: 0
|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
     s()	weight: 0
|app'|❆1_map(x1)	weight: 0
|app'|❆1_minus(x1)	weight: 0
 minus()	weight: 0
|app'|❆2_filter(x1,x2)	weight: 0
 false()	weight: 0
|app'|(x1,x2)	weight: 0
|app'|❆1_filter2(x1)	weight: 0
#|app'|❆2_app(x1,x2)	weight: 0
#|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
  true()	weight: 0
|app'|❆1_quot(x1)	weight: 0
filter2()	weight: 0
   sum()	weight: 0
#|app'|❆2_quot(x1,x2)	weight: 0
|app'|❆2_quot(x1,x2)	weight: 0
  quot()	weight: 0
|app'|❆2_filter2(x1,x2)	weight: 0
|app'|❆2_map(x1,x2)	weight: 0
   nil()	weight: 0
#|app'|❆2_filter(x1,x2)	weight: 0
|app'|❆1_app(x1)	weight: 0
   map()	weight: 0
|app'|❆1_cons(x1)	weight: 0
|app'|❆2_minus(x1,x2)	weight: 0
#|app'|❆2_plus(x1,x2)	weight: x1
|app'|❆1_filter(x1)	weight: 0
#|app'|❆1_sum(x1)	weight: 0
#|app'|❆2_minus(x1,x2)	weight: 0
  plus()	weight: 0
  cons()	weight: 0
|app'|❆1_s(x1)	weight: (/ 1 2) + x1
|app'|❆2_cons(x1,x2)	weight: 0
|app'|❆2_plus(x1,x2)	weight: 0
filter()	weight: 0
|app'|❆1_sum(x1)	weight: 0
|app'|❆2_app(x1,x2)	weight: 0
|app'|❆1_plus(x1)	weight: 0
#|app'|❆2_map(x1,x2)	weight: 0
   app()	weight: 0
    Usable rules: { }
    Removed DPs: #10
Number of SCCs: 6, DPs: 15, edges: 28
	SCC { #12 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
#|app'|(x1,x2)	weight: 0
|app'|❆3_filter2(x1,x2,x3)	weight: 0
|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
     s()	weight: 0
|app'|❆1_map(x1)	weight: 0
|app'|❆1_minus(x1)	weight: 0
 minus()	weight: 0
|app'|❆2_filter(x1,x2)	weight: 0
 false()	weight: 0
|app'|(x1,x2)	weight: 0
|app'|❆1_filter2(x1)	weight: 0
#|app'|❆2_app(x1,x2)	weight: x1
#|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
  true()	weight: 0
|app'|❆1_quot(x1)	weight: 0
filter2()	weight: 0
   sum()	weight: 0
#|app'|❆2_quot(x1,x2)	weight: 0
|app'|❆2_quot(x1,x2)	weight: 0
  quot()	weight: 0
|app'|❆2_filter2(x1,x2)	weight: 0
|app'|❆2_map(x1,x2)	weight: 0
   nil()	weight: 0
#|app'|❆2_filter(x1,x2)	weight: 0
|app'|❆1_app(x1)	weight: 0
   map()	weight: 0
|app'|❆1_cons(x1)	weight: 0
|app'|❆2_minus(x1,x2)	weight: 0
#|app'|❆2_plus(x1,x2)	weight: 0
|app'|❆1_filter(x1)	weight: 0
#|app'|❆1_sum(x1)	weight: 0
#|app'|❆2_minus(x1,x2)	weight: 0
  plus()	weight: 0
  cons()	weight: 0
|app'|❆1_s(x1)	weight: (/ 1 2)
|app'|❆2_cons(x1,x2)	weight: (/ 1 2) + x2
|app'|❆2_plus(x1,x2)	weight: 0
filter()	weight: 0
|app'|❆1_sum(x1)	weight: 0
|app'|❆2_app(x1,x2)	weight: 0
|app'|❆1_plus(x1)	weight: 0
#|app'|❆2_map(x1,x2)	weight: 0
   app()	weight: 0
    Usable rules: { }
    Removed DPs: #12
Number of SCCs: 5, DPs: 14, edges: 27
	SCC { #13 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
#|app'|(x1,x2)	weight: 0
|app'|❆3_filter2(x1,x2,x3)	weight: 0
|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
     s()	weight: 0
|app'|❆1_map(x1)	weight: 0
|app'|❆1_minus(x1)	weight: 0
 minus()	weight: 0
|app'|❆2_filter(x1,x2)	weight: 0
 false()	weight: 0
|app'|(x1,x2)	weight: 0
|app'|❆1_filter2(x1)	weight: 0
#|app'|❆2_app(x1,x2)	weight: 0
#|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
  true()	weight: 0
|app'|❆1_quot(x1)	weight: 0
filter2()	weight: 0
   sum()	weight: 0
#|app'|❆2_quot(x1,x2)	weight: x1
|app'|❆2_quot(x1,x2)	weight: 0
  quot()	weight: 0
|app'|❆2_filter2(x1,x2)	weight: 0
|app'|❆2_map(x1,x2)	weight: 0
   nil()	weight: 0
#|app'|❆2_filter(x1,x2)	weight: 0
|app'|❆1_app(x1)	weight: 0
   map()	weight: 0
|app'|❆1_cons(x1)	weight: 0
|app'|❆2_minus(x1,x2)	weight: (/ 1 4) + x1
#|app'|❆2_plus(x1,x2)	weight: 0
|app'|❆1_filter(x1)	weight: 0
#|app'|❆1_sum(x1)	weight: 0
#|app'|❆2_minus(x1,x2)	weight: 0
  plus()	weight: 0
  cons()	weight: 0
|app'|❆1_s(x1)	weight: (/ 1 2) + x1
|app'|❆2_cons(x1,x2)	weight: (/ 1 4)
|app'|❆2_plus(x1,x2)	weight: (/ 1 4)
filter()	weight: 0
|app'|❆1_sum(x1)	weight: 0
|app'|❆2_app(x1,x2)	weight: 0
|app'|❆1_plus(x1)	weight: 0
#|app'|❆2_map(x1,x2)	weight: 0
   app()	weight: 0
    Usable rules: { 1..3 }
    Removed DPs: #13
Number of SCCs: 4, DPs: 13, edges: 26
	SCC { #6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
#|app'|(x1,x2)	weight: 0
|app'|❆3_filter2(x1,x2,x3)	weight: 0
|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
     s()	weight: 0
|app'|❆1_map(x1)	weight: 0
|app'|❆1_minus(x1)	weight: 0
 minus()	weight: 0
|app'|❆2_filter(x1,x2)	weight: 0
 false()	weight: 0
|app'|(x1,x2)	weight: 0
|app'|❆1_filter2(x1)	weight: 0
#|app'|❆2_app(x1,x2)	weight: 0
#|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
  true()	weight: 0
|app'|❆1_quot(x1)	weight: 0
filter2()	weight: 0
   sum()	weight: 0
#|app'|❆2_quot(x1,x2)	weight: x1
|app'|❆2_quot(x1,x2)	weight: 0
  quot()	weight: 0
|app'|❆2_filter2(x1,x2)	weight: 0
|app'|❆2_map(x1,x2)	weight: 0
   nil()	weight: 0
#|app'|❆2_filter(x1,x2)	weight: 0
|app'|❆1_app(x1)	weight: 0
   map()	weight: 0
|app'|❆1_cons(x1)	weight: 0
|app'|❆2_minus(x1,x2)	weight: (/ 1 4) + x1
#|app'|❆2_plus(x1,x2)	weight: 0
|app'|❆1_filter(x1)	weight: 0
#|app'|❆1_sum(x1)	weight: x1
#|app'|❆2_minus(x1,x2)	weight: 0
  plus()	weight: 0
  cons()	weight: 0
|app'|❆1_s(x1)	weight: (/ 1 2) + x1
|app'|❆2_cons(x1,x2)	weight: (/ 1 4) + x2
|app'|❆2_plus(x1,x2)	weight: (/ 1 4)
filter()	weight: 0
|app'|❆1_sum(x1)	weight: 0
|app'|❆2_app(x1,x2)	weight: 0
|app'|❆1_plus(x1)	weight: 0
#|app'|❆2_map(x1,x2)	weight: 0
   app()	weight: 0
    Usable rules: { }
    Removed DPs: #6
Number of SCCs: 3, DPs: 12, edges: 25
	SCC { #3 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
#|app'|(x1,x2)	weight: 0
|app'|❆3_filter2(x1,x2,x3)	weight: 0
|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
     s()	weight: 0
|app'|❆1_map(x1)	weight: 0
|app'|❆1_minus(x1)	weight: 0
 minus()	weight: 0
|app'|❆2_filter(x1,x2)	weight: 0
 false()	weight: 0
|app'|(x1,x2)	weight: 0
|app'|❆1_filter2(x1)	weight: 0
#|app'|❆2_app(x1,x2)	weight: 0
#|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
  true()	weight: 0
|app'|❆1_quot(x1)	weight: 0
filter2()	weight: 0
   sum()	weight: 0
#|app'|❆2_quot(x1,x2)	weight: x1
|app'|❆2_quot(x1,x2)	weight: 0
  quot()	weight: 0
|app'|❆2_filter2(x1,x2)	weight: 0
|app'|❆2_map(x1,x2)	weight: 0
   nil()	weight: 0
#|app'|❆2_filter(x1,x2)	weight: 0
|app'|❆1_app(x1)	weight: 0
   map()	weight: 0
|app'|❆1_cons(x1)	weight: 0
|app'|❆2_minus(x1,x2)	weight: (/ 1 4) + x1
#|app'|❆2_plus(x1,x2)	weight: 0
|app'|❆1_filter(x1)	weight: 0
#|app'|❆1_sum(x1)	weight: x1
#|app'|❆2_minus(x1,x2)	weight: 0
  plus()	weight: 0
  cons()	weight: 0
|app'|❆1_s(x1)	weight: (/ 1 2) + x1
|app'|❆2_cons(x1,x2)	weight: (/ 1 4) + x2
|app'|❆2_plus(x1,x2)	weight: (/ 1 4)
filter()	weight: 0
|app'|❆1_sum(x1)	weight: (/ 1 4)
|app'|❆2_app(x1,x2)	weight: (/ 1 4) + x1 + x2
|app'|❆1_plus(x1)	weight: 0
#|app'|❆2_map(x1,x2)	weight: 0
   app()	weight: 0
    Usable rules: { 8..12 }
    Removed DPs: #3
Number of SCCs: 2, DPs: 11, edges: 24
	SCC { #1 #22 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
#|app'|(x1,x2)	weight: 0
|app'|❆3_filter2(x1,x2,x3)	weight: 0
|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
     s()	weight: 0
|app'|❆1_map(x1)	weight: 0
|app'|❆1_minus(x1)	weight: 0
 minus()	weight: 0
|app'|❆2_filter(x1,x2)	weight: 0
 false()	weight: 0
|app'|(x1,x2)	weight: 0
|app'|❆1_filter2(x1)	weight: 0
#|app'|❆2_app(x1,x2)	weight: 0
#|app'|❆4_filter2(x1,x2,x3,x4)	weight: 0
  true()	weight: 0
|app'|❆1_quot(x1)	weight: 0
filter2()	weight: 0
   sum()	weight: 0
#|app'|❆2_quot(x1,x2)	weight: x1
|app'|❆2_quot(x1,x2)	weight: 0
  quot()	weight: 0
|app'|❆2_filter2(x1,x2)	weight: 0
|app'|❆2_map(x1,x2)	weight: 0
   nil()	weight: 0
#|app'|❆2_filter(x1,x2)	weight: 0
|app'|❆1_app(x1)	weight: 0
   map()	weight: 0
|app'|❆1_cons(x1)	weight: 0
|app'|❆2_minus(x1,x2)	weight: (/ 1 4) + x1
#|app'|❆2_plus(x1,x2)	weight: 0
|app'|❆1_filter(x1)	weight: 0
#|app'|❆1_sum(x1)	weight: x1
#|app'|❆2_minus(x1,x2)	weight: x1
  plus()	weight: 0
  cons()	weight: 0
|app'|❆1_s(x1)	weight: (/ 1 2) + x1
|app'|❆2_cons(x1,x2)	weight: (/ 1 4) + x2
|app'|❆2_plus(x1,x2)	weight: (/ 1 4)
filter()	weight: 0
|app'|❆1_sum(x1)	weight: (/ 1 4)
|app'|❆2_app(x1,x2)	weight: (/ 1 4) + x1 + x2
|app'|❆1_plus(x1)	weight: 0
#|app'|❆2_map(x1,x2)	weight: 0
   app()	weight: 0
    Usable rules: { }
    Removed DPs: #1 #22
Number of SCCs: 1, DPs: 9, edges: 20
	SCC { #8 #15..17 #19 #20 #24..26 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
#|app'|(x1,x2)	weight: (/ 1 2) + x2
|app'|❆3_filter2(x1,x2,x3)	weight: (/ 9 4) + x1
|app'|❆4_filter2(x1,x2,x3,x4)	weight: 3 + x1 + x2 + x3
     s()	weight: 0
|app'|❆1_map(x1)	weight: (/ 3 4) + x1
|app'|❆1_minus(x1)	weight: (/ 3 4)
 minus()	weight: 0
|app'|❆2_filter(x1,x2)	weight: (/ 13 4)
 false()	weight: 0
|app'|(x1,x2)	weight: (/ 1 2) + x1
|app'|❆1_filter2(x1)	weight: (/ 3 4) + x1
#|app'|❆2_app(x1,x2)	weight: 0
#|app'|❆4_filter2(x1,x2,x3,x4)	weight: (/ 1 4) + x4
  true()	weight: 0
|app'|❆1_quot(x1)	weight: (/ 3 4)
filter2()	weight: 0
   sum()	weight: 0
#|app'|❆2_quot(x1,x2)	weight: x1
|app'|❆2_quot(x1,x2)	weight: (/ 3 2) + x1
  quot()	weight: 0
|app'|❆2_filter2(x1,x2)	weight: (/ 3 2) + x2
|app'|❆2_map(x1,x2)	weight: (/ 3 2) + x1 + x2
   nil()	weight: 0
#|app'|❆2_filter(x1,x2)	weight: x2
|app'|❆1_app(x1)	weight: (/ 3 4) + x1
   map()	weight: 0
|app'|❆1_cons(x1)	weight: (/ 3 4)
|app'|❆2_minus(x1,x2)	weight: (/ 3 2) + x1
#|app'|❆2_plus(x1,x2)	weight: 0
|app'|❆1_filter(x1)	weight: (/ 3 4) + x1
#|app'|❆1_sum(x1)	weight: 0
#|app'|❆2_minus(x1,x2)	weight: 0
  plus()	weight: 0
  cons()	weight: 0
|app'|❆1_s(x1)	weight: (/ 3 4) + x1
|app'|❆2_cons(x1,x2)	weight: (/ 3 2) + x1 + x2
|app'|❆2_plus(x1,x2)	weight: (/ 3 2)
filter()	weight: 0
|app'|❆1_sum(x1)	weight: (/ 3 2)
|app'|❆2_app(x1,x2)	weight: (/ 3 2) + x1
|app'|❆1_plus(x1)	weight: (/ 3 4) + x1
#|app'|❆2_map(x1,x2)	weight: x2
   app()	weight: 0
    Usable rules: { 1..4 9 }
    Removed DPs: #8 #15..17 #19 #20 #24..26
Number of SCCs: 0, DPs: 0, edges: 0
YES