Input TRS:
    1: active(f(f(a()))) -> mark(c(f(g(f(a())))))
    2: mark(f(X)) -> active(f(mark(X)))
    3: mark(a()) -> active(a())
    4: mark(c(X)) -> active(c(X))
    5: mark(g(X)) -> active(g(mark(X)))
    6: f(mark(X)) -> f(X)
    7: f(active(X)) -> f(X)
    8: c(mark(X)) -> c(X)
    9: c(active(X)) -> c(X)
    10: g(mark(X)) -> g(X)
    11: g(active(X)) -> g(X)
Number of strict rules: 11
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #mark(f(X)) -> #active(f(mark(X)))
   #2: #mark(f(X)) -> #f(mark(X))
   #3: #mark(f(X)) -> #mark(X)
   #4: #f(mark(X)) -> #f(X)
   #5: #c(active(X)) -> #c(X)
   #6: #g(active(X)) -> #g(X)
   #7: #f(active(X)) -> #f(X)
   #8: #g(mark(X)) -> #g(X)
   #9: #mark(g(X)) -> #active(g(mark(X)))
   #10: #mark(g(X)) -> #g(mark(X))
   #11: #mark(g(X)) -> #mark(X)
   #12: #mark(a()) -> #active(a())
   #13: #active(f(f(a()))) -> #mark(c(f(g(f(a())))))
   #14: #active(f(f(a()))) -> #c(f(g(f(a()))))
   #15: #active(f(f(a()))) -> #f(g(f(a())))
   #16: #active(f(f(a()))) -> #g(f(a()))
   #17: #c(mark(X)) -> #c(X)
   #18: #mark(c(X)) -> #active(c(X))
Number of SCCs: 4, DPs: 8, edges: 16
	SCC { #4 #7 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: 0
#mark(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1)	weight: x1
   #g(x1)	weight: 0
   #c(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #4 #7
Number of SCCs: 3, DPs: 6, edges: 12
	SCC { #6 #8 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: 0
#mark(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1)	weight: 0
   #g(x1)	weight: x1
   #c(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #6 #8
Number of SCCs: 2, DPs: 4, edges: 8
	SCC { #5 #17 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: 0
#mark(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1)	weight: 0
   #g(x1)	weight: 0
   #c(x1)	weight: x1
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #5 #17
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #3 #11 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: (/ 1 2) + x1
#mark(x1)	weight: x1
  mark(x1)	weight: (/ 1 2)
   #f(x1)	weight: 0
   #g(x1)	weight: 0
   #c(x1)	weight: 0
active(x1)	weight: (/ 1 2)
#active(x1)	weight: 0
     g(x1)	weight: (/ 1 2) + x1
    Usable rules: { }
    Removed DPs: #3 #11
Number of SCCs: 0, DPs: 0, edges: 0
YES