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