Input TRS:
    1: active(g(X)) -> mark(h(X))
    2: active(c()) -> mark(d())
    3: active(h(d())) -> mark(g(c()))
    4: proper(g(X)) -> g(proper(X))
    5: proper(h(X)) -> h(proper(X))
    6: proper(c()) -> ok(c())
    7: proper(d()) -> ok(d())
    8: g(ok(X)) -> ok(g(X))
    9: h(ok(X)) -> ok(h(X))
    10: top(mark(X)) -> top(proper(X))
    11: top(ok(X)) -> top(active(X))
Number of strict rules: 11
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #h(ok(X)) -> #h(X)
   #2: #top(ok(X)) -> #top(active(X))
   #3: #top(ok(X)) -> #active(X)
   #4: #top(mark(X)) -> #top(proper(X))
   #5: #top(mark(X)) -> #proper(X)
   #6: #proper(h(X)) -> #h(proper(X))
   #7: #proper(h(X)) -> #proper(X)
   #8: #active(h(d())) -> #g(c())
   #9: #active(g(X)) -> #h(X)
   #10: #g(ok(X)) -> #g(X)
   #11: #proper(g(X)) -> #g(proper(X))
   #12: #proper(g(X)) -> #proper(X)
Number of SCCs: 4, DPs: 6, edges: 8
	SCC { #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     d()	weight: 0
   top(x1)	weight: 0
 #top(x1)	weight: 0
     c()	weight: 0
proper(x1)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
   #h(x1)	weight: 0
  mark(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: #10
Number of SCCs: 3, DPs: 5, edges: 7
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     d()	weight: 0
   top(x1)	weight: 0
 #top(x1)	weight: 0
     c()	weight: 0
proper(x1)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
   #h(x1)	weight: x1
  mark(x1)	weight: 0
   #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: 2, DPs: 4, edges: 6
	SCC { #7 #12 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: (/ 1 2) + x1
     d()	weight: 0
   top(x1)	weight: 0
 #top(x1)	weight: 0
     c()	weight: 0
proper(x1)	weight: 0
    ok(x1)	weight: (/ 1 2)
   #h(x1)	weight: 0
  mark(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: #7 #12
Number of SCCs: 1, DPs: 2, edges: 2
	SCC { #2 #4 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... succeeded.
     h(x1)	weight: (/ 1 8) + x1_2; (/ 1 8) + x1_1
     d()	weight: (/ 5 8); (/ 1 8)
   top(x1)	weight: 0; 0
 #top(x1)	weight: x1_1; x1_1
     c()	weight: (/ 1 8); (/ 3 8)
proper(x1)	weight: (/ 1 4) + x1_2; (/ 1 4) + x1_1
    ok(x1)	weight: (/ 1 4) + x1_2; (/ 1 4) + x1_1
   #h(x1)	weight: 0; 0
  mark(x1)	weight: (/ 3 8) + x1_2; (/ 1 8)
   #g(x1)	weight: 0; 0
#proper(x1)	weight: 0; 0
active(x1)	weight: (/ 1 8) + x1_2; (/ 1 8) + x1_2
#active(x1)	weight: 0; 0
     g(x1)	weight: (/ 3 8) + x1_2; (/ 3 8) + x1_1
    Usable rules: { 1..9 }
    Removed DPs: #2 #4
Number of SCCs: 0, DPs: 0, edges: 0
YES