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