Input TRS:
    1: active(f(f(X))) -> mark(c(f(g(f(X)))))
    2: active(c(X)) -> mark(d(X))
    3: active(h(X)) -> mark(c(d(X)))
    4: mark(f(X)) -> active(f(mark(X)))
    5: mark(c(X)) -> active(c(X))
    6: mark(g(X)) -> active(g(X))
    7: mark(d(X)) -> active(d(X))
    8: mark(h(X)) -> active(h(mark(X)))
    9: f(mark(X)) -> f(X)
    10: f(active(X)) -> f(X)
    11: c(mark(X)) -> c(X)
    12: c(active(X)) -> c(X)
    13: g(mark(X)) -> g(X)
    14: g(active(X)) -> g(X)
    15: d(mark(X)) -> d(X)
    16: d(active(X)) -> d(X)
    17: h(mark(X)) -> h(X)
    18: h(active(X)) -> h(X)
Number of strict rules: 18
Direct Order(PosReal,>,Poly) ... removes: 3
     h(x1)	weight: (/ 420561 16) + x1
     d(x1)	weight: x1
     c(x1)	weight: x1
     f(x1)	weight: (/ 1 16) + x1
  mark(x1)	weight: x1
active(x1)	weight: x1
     g(x1)	weight: x1
Number of strict rules: 17
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #active(c(X)) -> #mark(d(X))
   #2: #active(c(X)) -> #d(X)
   #3: #mark(g(X)) -> #active(g(X))
   #4: #g(mark(X)) -> #g(X)
   #5: #f(mark(X)) -> #f(X)
   #6: #c(mark(X)) -> #c(X)
   #7: #c(active(X)) -> #c(X)
   #8: #g(active(X)) -> #g(X)
   #9: #mark(d(X)) -> #active(d(X))
   #10: #f(active(X)) -> #f(X)
   #11: #mark(c(X)) -> #active(c(X))
   #12: #h(mark(X)) -> #h(X)
   #13: #d(active(X)) -> #d(X)
   #14: #active(f(f(X))) -> #mark(c(f(g(f(X)))))
   #15: #active(f(f(X))) -> #c(f(g(f(X))))
   #16: #active(f(f(X))) -> #f(g(f(X)))
   #17: #active(f(f(X))) -> #g(f(X))
   #18: #mark(h(X)) -> #active(h(mark(X)))
   #19: #mark(h(X)) -> #h(mark(X))
   #20: #mark(h(X)) -> #mark(X)
   #21: #d(mark(X)) -> #d(X)
   #22: #mark(f(X)) -> #active(f(mark(X)))
   #23: #mark(f(X)) -> #f(mark(X))
   #24: #mark(f(X)) -> #mark(X)
   #25: #h(active(X)) -> #h(X)
Number of SCCs: 6, DPs: 12, edges: 24
	SCC { #5 #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     d(x1)	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: 0
#mark(x1)	weight: 0
   #h(x1)	weight: 0
   #d(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: #5 #10
Number of SCCs: 5, DPs: 10, edges: 20
	SCC { #13 #21 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     d(x1)	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: 0
#mark(x1)	weight: 0
   #h(x1)	weight: 0
   #d(x1)	weight: x1
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1)	weight: 0
   #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: #13 #21
Number of SCCs: 4, DPs: 8, edges: 16
	SCC { #12 #25 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     d(x1)	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: 0
#mark(x1)	weight: 0
   #h(x1)	weight: x1
   #d(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1)	weight: 0
   #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: #12 #25
Number of SCCs: 3, DPs: 6, edges: 12
	SCC { #20 #24 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: (/ 1 2) + x1
     d(x1)	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: (/ 1 2) + x1
#mark(x1)	weight: x1
   #h(x1)	weight: 0
   #d(x1)	weight: 0
  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: 0
    Usable rules: { }
    Removed DPs: #20 #24
Number of SCCs: 2, DPs: 4, edges: 8
	SCC { #6 #7 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: (/ 1 2)
     d(x1)	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: (/ 1 2)
#mark(x1)	weight: 0
   #h(x1)	weight: 0
   #d(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: #6 #7
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #4 #8 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: (/ 1 2)
     d(x1)	weight: 0
     c(x1)	weight: 0
     f(x1)	weight: (/ 1 2)
#mark(x1)	weight: 0
   #h(x1)	weight: 0
   #d(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: #4 #8
Number of SCCs: 0, DPs: 0, edges: 0
YES