Input TRS:
    1: active(f(g(X),Y)) -> mark(f(X,f(g(X),Y)))
    2: mark(f(X1,X2)) -> active(f(mark(X1),X2))
    3: mark(g(X)) -> active(g(mark(X)))
    4: f(mark(X1),X2) -> f(X1,X2)
    5: f(X1,mark(X2)) -> f(X1,X2)
    6: f(active(X1),X2) -> f(X1,X2)
    7: f(X1,active(X2)) -> f(X1,X2)
    8: g(mark(X)) -> g(X)
    9: g(active(X)) -> g(X)
Number of strict rules: 9
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #mark(f(X1,X2)) -> #active(f(mark(X1),X2))
   #2: #mark(f(X1,X2)) -> #f(mark(X1),X2)
   #3: #mark(f(X1,X2)) -> #mark(X1)
   #4: #f(active(X1),X2) -> #f(X1,X2)
   #5: #g(active(X)) -> #g(X)
   #6: #f(X1,active(X2)) -> #f(X1,X2)
   #7: #f(X1,mark(X2)) -> #f(X1,X2)
   #8: #mark(g(X)) -> #active(g(mark(X)))
   #9: #mark(g(X)) -> #g(mark(X))
   #10: #mark(g(X)) -> #mark(X)
   #11: #active(f(g(X),Y)) -> #mark(f(X,f(g(X),Y)))
   #12: #active(f(g(X),Y)) -> #f(X,f(g(X),Y))
   #13: #g(mark(X)) -> #g(X)
   #14: #f(mark(X1),X2) -> #f(X1,X2)
Number of SCCs: 3, DPs: 10, edges: 29
	SCC { #5 #13 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     f(x1,x2)	weight: 0
#mark(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1,x2)	weight: 0
   #g(x1)	weight: x1
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #5 #13
Number of SCCs: 2, DPs: 8, edges: 25
	SCC { #4 #6 #7 #14 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     f(x1,x2)	weight: 0
#mark(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1,x2)	weight: x1
   #g(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #4 #14
Number of SCCs: 2, DPs: 6, edges: 13
	SCC { #6 #7 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     f(x1,x2)	weight: 0
#mark(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1,x2)	weight: x2
   #g(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #6 #7
Number of SCCs: 1, DPs: 4, edges: 9
	SCC { #1 #3 #10 #11 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     f(x1,x2)	weight: (/ 1 8) + x1
#mark(x1)	weight: (/ 1 4) + x1
  mark(x1)	weight: (/ 1 8) + x1
   #f(x1,x2)	weight: 0
   #g(x1)	weight: 0
active(x1)	weight: x1
#active(x1)	weight: x1
     g(x1)	weight: (/ 3 8) + x1
    Usable rules: { 1..9 }
    Removed DPs: #1 #3 #10 #11
Number of SCCs: 1, DPs: 0, edges: 0
YES