Input TRS:
    1: from(X) -> cons(X,n__from(n__s(X)))
    2: sel(0(),cons(X,Y)) -> X
    3: sel(s(X),cons(Y,Z)) -> sel(X,activate(Z))
    4: from(X) -> n__from(X)
    5: s(X) -> n__s(X)
    6: activate(n__from(X)) -> from(activate(X))
    7: activate(n__s(X)) -> s(activate(X))
    8: activate(X) -> X
Number of strict rules: 8
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #activate(n__from(X)) -> #from(activate(X))
   #2: #activate(n__from(X)) -> #activate(X)
   #3: #activate(n__s(X)) -> #s(activate(X))
   #4: #activate(n__s(X)) -> #activate(X)
   #5: #sel(s(X),cons(Y,Z)) -> #sel(X,activate(Z))
   #6: #sel(s(X),cons(Y,Z)) -> #activate(Z)
Number of SCCs: 2, DPs: 3, edges: 5
	SCC { #2 #4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: 0
activate(x1)	weight: 0
n__from(x1)	weight: (/ 1 2) + x1
#activate(x1)	weight: x1
  n__s(x1)	weight: (/ 1 2) + x1
     0()	weight: 0
 #sel(x1,x2)	weight: 0
  from(x1)	weight: 0
   sel(x1,x2)	weight: 0
   #s(x1)	weight: 0
#from(x1)	weight: 0
  cons(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #2 #4
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #5 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 4) + x1
activate(x1)	weight: (/ 1 4)
n__from(x1)	weight: (/ 3 4)
#activate(x1)	weight: 0
  n__s(x1)	weight: (/ 1 2)
     0()	weight: 0
 #sel(x1,x2)	weight: x1
  from(x1)	weight: (/ 1 2)
   sel(x1,x2)	weight: 0
   #s(x1)	weight: 0
#from(x1)	weight: 0
  cons(x1,x2)	weight: (/ 1 4) + x2
    Usable rules: { }
    Removed DPs: #5
Number of SCCs: 0, DPs: 0, edges: 0
YES