Input TRS:
    1: double(x) -> plus(x,x)
    2: double(0()) -> 0()
    3: double(s(x)) -> s(s(double(x)))
    4: plus(0(),y) -> y
    5: plus(s(x),y) -> s(plus(x,y))
    6: minus(s(x),s(y)) -> minus(x,y)
    7: minus(0(),x) -> 0()
    8: minus(x,0()) -> x
    9: div(s(x),s(y)) -> s(div(minus(s(x),double(s(y))),s(y)))
    10: div(0(),s(y)) -> 0()
Number of strict rules: 10
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #div(s(x),s(y)) -> #div(minus(s(x),double(s(y))),s(y))
   #3: #div(s(x),s(y)) -> #minus(s(x),double(s(y)))
   #4: #div(s(x),s(y)) -> #double(s(y))
   #5: #plus(s(x),y) -> #plus(x,y)
   #6: #double(s(x)) -> #double(x)
   #7: #double(x) -> #plus(x,x)
Number of SCCs: 4, DPs: 4, edges: 4
	SCC { #6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 #div(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2) + x1
 minus(x1,x2)	weight: 0
#plus(x1,x2)	weight: 0
   div(x1,x2)	weight: 0
     0()	weight: 0
#double(x1)	weight: x1
double(x1)	weight: 0
#minus(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #6
Number of SCCs: 3, DPs: 3, edges: 3
	SCC { #5 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 #div(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2) + x1
 minus(x1,x2)	weight: 0
#plus(x1,x2)	weight: x1
   div(x1,x2)	weight: 0
     0()	weight: 0
#double(x1)	weight: 0
double(x1)	weight: 0
#minus(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #5
Number of SCCs: 2, DPs: 2, edges: 2
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 #div(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2) + x1
 minus(x1,x2)	weight: 0
#plus(x1,x2)	weight: 0
   div(x1,x2)	weight: 0
     0()	weight: 0
#double(x1)	weight: 0
double(x1)	weight: 0
#minus(x1,x2)	weight: x2
  plus(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #2 }
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