Input TRS:
    1: |1024|() -> |1024_1|(|0|())
    2: |1024_1|(x) -> if(lt(x,|10|()),x)
    3: if(true(),x) -> double(|1024_1|(s(x)))
    4: if(false(),x) -> s(|0|())
    5: lt(|0|(),s(y)) -> true()
    6: lt(x,|0|()) -> false()
    7: lt(s(x),s(y)) -> lt(x,y)
    8: double(|0|()) -> |0|()
    9: double(s(x)) -> s(s(double(x)))
    10: |10|() -> double(s(double(s(s(|0|())))))
Number of strict rules: 10
Direct Order(PosReal,>,Poly) ... failed.
Freezing double
1: |1024|() -> |1024_1|(|0|())
2: |1024_1|(x) -> if(lt(x,|10|()),x)
3: if(true(),x) -> double(|1024_1|(s(x)))
4: if(false(),x) -> s(|0|())
5: lt(|0|(),s(y)) -> true()
6: lt(x,|0|()) -> false()
7: lt(s(x),s(y)) -> lt(x,y)
8: double❆1_|0|() -> |0|()
9: double❆1_s(x) -> s(s(double(x)))
10: |10|() -> double❆1_s(double❆1_s(s(|0|())))
11: double(|0|()) ->= double❆1_|0|()
12: double(s(_1)) ->= double❆1_s(_1)
Number of strict rules: 10
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #|1024_1|(x) -> #if(lt(x,|10|()),x)
   #2: #|1024_1|(x) -> #lt(x,|10|())
   #3: #|1024_1|(x) -> #|10|()
   #4: #double❆1_s(x) -> #double(x)
   #5: #double(|0|()) ->? #double❆1_|0|()
   #6: #double(s(_1)) ->? #double❆1_s(_1)
   #7: #lt(s(x),s(y)) -> #lt(x,y)
   #8: #|10|() -> #double❆1_s(double❆1_s(s(|0|())))
   #9: #|10|() -> #double❆1_s(s(|0|()))
   #10: #if(true(),x) -> #double(|1024_1|(s(x)))
   #11: #if(true(),x) -> #|1024_1|(s(x))
   #12: #|1024|() -> #|1024_1|(|0|())
Number of SCCs: 3, DPs: 5, edges: 5
	SCC { #7 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
double❆1_|0|()	weight: 0
     s(x1)	weight: (/ 1 2) + x1
  #lt(x1,x2)	weight: x2
#double❆1_|0|()	weight: 0
#double❆1_s(x1)	weight: 0
|1024_1|(x1)	weight: 0
 false()	weight: 0
#|1024_1|(x1)	weight: 0
#|1024|()	weight: 0
  true()	weight: 0
  |10|()	weight: 0
    if(x1,x2)	weight: 0
#|10|()	weight: 0
#double(x1)	weight: 0
double(x1)	weight: 0
  #if(x1,x2)	weight: 0
double❆1_s(x1)	weight: 0
|1024|()	weight: 0
    lt(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #7
Number of SCCs: 2, DPs: 4, edges: 4
	SCC { #4 #6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
double❆1_|0|()	weight: 0
     s(x1)	weight: (/ 1 2) + x1
  #lt(x1,x2)	weight: 0
#double❆1_|0|()	weight: 0
#double❆1_s(x1)	weight: (/ 1 4) + x1
|1024_1|(x1)	weight: 0
 false()	weight: 0
#|1024_1|(x1)	weight: 0
#|1024|()	weight: 0
  true()	weight: 0
  |10|()	weight: 0
    if(x1,x2)	weight: 0
#|10|()	weight: 0
#double(x1)	weight: x1
double(x1)	weight: 0
  #if(x1,x2)	weight: 0
double❆1_s(x1)	weight: 0
|1024|()	weight: 0
    lt(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #4 #6
Number of SCCs: 1, DPs: 2, edges: 2
	SCC { #1 #11 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed.
Removing edges: failed.
Finding a loop...  failed.
MAYBE