Input TRS:
    1: active(zeros()) -> mark(cons(0(),zeros()))
    2: active(tail(cons(X,XS))) -> mark(XS)
    3: mark(zeros()) -> active(zeros())
    4: mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
    5: mark(0()) -> active(0())
    6: mark(tail(X)) -> active(tail(mark(X)))
    7: cons(mark(X1),X2) -> cons(X1,X2)
    8: cons(X1,mark(X2)) -> cons(X1,X2)
    9: cons(active(X1),X2) -> cons(X1,X2)
    10: cons(X1,active(X2)) -> cons(X1,X2)
    11: tail(mark(X)) -> tail(X)
    12: tail(active(X)) -> tail(X)
Number of strict rules: 12
Direct Order(PosReal,>,Poly) ... removes: 2
 zeros()	weight: 0
  tail(x1)	weight: 28101 + x1
     0()	weight: 0
  mark(x1)	weight: x1
active(x1)	weight: x1
  cons(x1,x2)	weight: x1 + x2
Number of strict rules: 11
Direct Order(PosReal,>,Poly) ... removes: 6
 zeros()	weight: 0
  tail(x1)	weight: (/ 1 4) + x1
     0()	weight: 0
  mark(x1)	weight: 2 * x1
active(x1)	weight: x1
  cons(x1,x2)	weight: x1 + x2
Number of strict rules: 10
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #cons(active(X1),X2) -> #cons(X1,X2)
   #2: #tail(mark(X)) -> #tail(X)
   #3: #tail(active(X)) -> #tail(X)
   #4: #cons(mark(X1),X2) -> #cons(X1,X2)
   #5: #cons(X1,active(X2)) -> #cons(X1,X2)
   #6: #mark(0()) -> #active(0())
   #7: #mark(zeros()) -> #active(zeros())
   #8: #active(zeros()) -> #mark(cons(0(),zeros()))
   #9: #active(zeros()) -> #cons(0(),zeros())
   #10: #cons(X1,mark(X2)) -> #cons(X1,X2)
   #11: #mark(cons(X1,X2)) -> #active(cons(mark(X1),X2))
   #12: #mark(cons(X1,X2)) -> #cons(mark(X1),X2)
   #13: #mark(cons(X1,X2)) -> #mark(X1)
Number of SCCs: 3, DPs: 9, edges: 24
	SCC { #2 #3 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: 0
 zeros()	weight: 0
  tail(x1)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#tail(x1)	weight: x1
  mark(x1)	weight: (/ 1 2) + x1
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #2 #3
Number of SCCs: 2, DPs: 7, edges: 20
	SCC { #7 #8 #13 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded.
#cons(x1,x2)	weight: 0
 zeros()	weight: (/ 1 2)
  tail(x1)	weight: 0
#mark(x1)	weight: x1
     0()	weight: 0
#tail(x1)	weight: 0
  mark(x1)	weight: 0
active(x1)	weight: 0
  cons(x1,x2)	weight: max{x2, (/ 1 4) + x1}
#active(x1)	weight: (/ 1 2)
    Usable rules: { }
    Removed DPs: #13
Number of SCCs: 1, DPs: 4, edges: 16
	SCC { #1 #4 #5 #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: x1
 zeros()	weight: 0
  tail(x1)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#tail(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #1 #4
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #5 #10 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: x2
 zeros()	weight: 0
  tail(x1)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#tail(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #5 #10
Number of SCCs: 0, DPs: 0, edges: 0
YES