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