Input TRS:
    1: f(tt(),x) -> f(swap(x,0()),s(x))
    2: swap(s(x),y) -> swap(x,s(y))
    3: swap(0(),s(y)) -> decr(s(y))
    4: decr(s(y)) -> decr(y)
    5: decr(0()) -> tt()
Number of strict rules: 5
Direct Order(PosReal,>,Poly) ... failed.
Freezing decr
1: f(tt(),x) -> f(swap(x,0()),s(x))
2: swap(s(x),y) -> swap(x,s(y))
3: swap(0(),s(y)) -> decr❆1_s(y)
4: decr❆1_s(y) -> decr(y)
5: decr❆1_0() -> tt()
6: decr(0()) ->= decr❆1_0()
7: decr(s(_1)) ->= decr❆1_s(_1)
Number of strict rules: 5
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #swap(s(x),y) -> #swap(x,s(y))
   #2: #decr(0()) ->? #decr❆1_0()
   #3: #decr(s(_1)) ->? #decr❆1_s(_1)
   #4: #swap(0(),s(y)) -> #decr❆1_s(y)
   #5: #f(tt(),x) -> #f(swap(x,0()),s(x))
   #6: #f(tt(),x) -> #swap(x,0())
   #7: #decr❆1_s(y) -> #decr(y)
Number of SCCs: 3, DPs: 4, edges: 4
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
decr❆1_s(x1)	weight: 0
#decr❆1_s(x1)	weight: 0
#decr❆1_0()	weight: 0
#decr(x1)	weight: 0
     f(x1,x2)	weight: 0
     0()	weight: 0
   #f(x1,x2)	weight: 0
decr❆1_0()	weight: 0
    tt()	weight: 0
  swap(x1,x2)	weight: 0
  decr(x1)	weight: 0
#swap(x1,x2)	weight: x1
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 3, edges: 3
	SCC { #3 #7 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
decr❆1_s(x1)	weight: 0
#decr❆1_s(x1)	weight: (/ 1 4) + x1
#decr❆1_0()	weight: 0
#decr(x1)	weight: x1
     f(x1,x2)	weight: 0
     0()	weight: 0
   #f(x1,x2)	weight: 0
decr❆1_0()	weight: 0
    tt()	weight: 0
  swap(x1,x2)	weight: 0
  decr(x1)	weight: 0
#swap(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #3 #7
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #5 }
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