Input TRS:
    1: active(h(X)) -> mark(g(X,X))
    2: active(g(a(),X)) -> mark(f(b(),X))
    3: active(f(X,X)) -> mark(h(a()))
    4: active(a()) -> mark(b())
    5: mark(h(X)) -> active(h(mark(X)))
    6: mark(g(X1,X2)) -> active(g(mark(X1),X2))
    7: mark(a()) -> active(a())
    8: mark(f(X1,X2)) -> active(f(mark(X1),X2))
    9: mark(b()) -> active(b())
    10: h(mark(X)) -> h(X)
    11: h(active(X)) -> h(X)
    12: g(mark(X1),X2) -> g(X1,X2)
    13: g(X1,mark(X2)) -> g(X1,X2)
    14: g(active(X1),X2) -> g(X1,X2)
    15: g(X1,active(X2)) -> g(X1,X2)
    16: f(mark(X1),X2) -> f(X1,X2)
    17: f(X1,mark(X2)) -> f(X1,X2)
    18: f(active(X1),X2) -> f(X1,X2)
    19: f(X1,active(X2)) -> f(X1,X2)
Number of strict rules: 19
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #active(g(a(),X)) -> #mark(f(b(),X))
   #2: #active(g(a(),X)) -> #f(b(),X)
   #3: #mark(g(X1,X2)) -> #active(g(mark(X1),X2))
   #4: #mark(g(X1,X2)) -> #g(mark(X1),X2)
   #5: #mark(g(X1,X2)) -> #mark(X1)
   #6: #g(X1,mark(X2)) -> #g(X1,X2)
   #7: #mark(b()) -> #active(b())
   #8: #h(active(X)) -> #h(X)
   #9: #g(mark(X1),X2) -> #g(X1,X2)
   #10: #g(active(X1),X2) -> #g(X1,X2)
   #11: #mark(a()) -> #active(a())
   #12: #h(mark(X)) -> #h(X)
   #13: #mark(h(X)) -> #active(h(mark(X)))
   #14: #mark(h(X)) -> #h(mark(X))
   #15: #mark(h(X)) -> #mark(X)
   #16: #f(X1,mark(X2)) -> #f(X1,X2)
   #17: #f(X1,active(X2)) -> #f(X1,X2)
   #18: #f(mark(X1),X2) -> #f(X1,X2)
   #19: #active(f(X,X)) -> #mark(h(a()))
   #20: #active(f(X,X)) -> #h(a())
   #21: #active(h(X)) -> #mark(g(X,X))
   #22: #active(h(X)) -> #g(X,X)
   #23: #mark(f(X1,X2)) -> #active(f(mark(X1),X2))
   #24: #mark(f(X1,X2)) -> #f(mark(X1),X2)
   #25: #mark(f(X1,X2)) -> #mark(X1)
   #26: #g(X1,active(X2)) -> #g(X1,X2)
   #27: #active(a()) -> #mark(b())
   #28: #f(active(X1),X2) -> #f(X1,X2)
Number of SCCs: 4, DPs: 19, edges: 63
	SCC { #8 #12 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     a()	weight: 0
     b()	weight: 0
     f(x1,x2)	weight: 0
#mark(x1)	weight: 0
   #h(x1)	weight: x1
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1,x2)	weight: 0
   #g(x1,x2)	weight: 0
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #8 #12
Number of SCCs: 3, DPs: 17, edges: 59
	SCC { #16..18 #28 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     a()	weight: 0
     b()	weight: 0
     f(x1,x2)	weight: 0
#mark(x1)	weight: 0
   #h(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1,x2)	weight: x2
   #g(x1,x2)	weight: 0
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #16 #17
Number of SCCs: 3, DPs: 15, edges: 47
	SCC { #18 #28 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     a()	weight: 0
     b()	weight: 0
     f(x1,x2)	weight: 0
#mark(x1)	weight: 0
   #h(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1,x2)	weight: x1
   #g(x1,x2)	weight: 0
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #18 #28
Number of SCCs: 2, DPs: 13, edges: 43
	SCC { #6 #9 #10 #26 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     a()	weight: 0
     b()	weight: 0
     f(x1,x2)	weight: 0
#mark(x1)	weight: 0
   #h(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1,x2)	weight: 0
   #g(x1,x2)	weight: x2
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #6 #26
Number of SCCs: 3, DPs: 11, edges: 31
	SCC { #9 #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: 0
     a()	weight: 0
     b()	weight: 0
     f(x1,x2)	weight: 0
#mark(x1)	weight: 0
   #h(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
   #f(x1,x2)	weight: 0
   #g(x1,x2)	weight: x1
active(x1)	weight: (/ 1 2) + x1
#active(x1)	weight: 0
     g(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #9 #10
Number of SCCs: 2, DPs: 9, edges: 27
	SCC { #1 #3 #5 #13 #15 #19 #21 #23 #25 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1)	weight: (/ 1 2) + x1
     a()	weight: 0
     b()	weight: 0
     f(x1,x2)	weight: (/ 1 2) + x1
#mark(x1)	weight: x1
   #h(x1)	weight: 0
  mark(x1)	weight: x1
   #f(x1,x2)	weight: 0
   #g(x1,x2)	weight: 0
active(x1)	weight: x1
#active(x1)	weight: x1
     g(x1,x2)	weight: (/ 1 2) + x1
    Usable rules: { 1..19 }
    Removed DPs: #5 #15 #25
Number of SCCs: 3, DPs: 6, edges: 6
	SCC { #1 #3 #13 #19 #21 #23 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed.
Removing edges: failed.
Finding a loop...  failed.
MAYBE