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