Input TRS:
    1: active(from(X)) -> mark(cons(X,from(s(X))))
    2: active(length(nil())) -> mark(0())
    3: active(length(cons(X,Y))) -> mark(s(length1(Y)))
    4: active(length1(X)) -> mark(length(X))
    5: mark(from(X)) -> active(from(mark(X)))
    6: mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
    7: mark(s(X)) -> active(s(mark(X)))
    8: mark(length(X)) -> active(length(X))
    9: mark(nil()) -> active(nil())
    10: mark(0()) -> active(0())
    11: mark(length1(X)) -> active(length1(X))
    12: from(mark(X)) -> from(X)
    13: from(active(X)) -> from(X)
    14: cons(mark(X1),X2) -> cons(X1,X2)
    15: cons(X1,mark(X2)) -> cons(X1,X2)
    16: cons(active(X1),X2) -> cons(X1,X2)
    17: cons(X1,active(X2)) -> cons(X1,X2)
    18: s(mark(X)) -> s(X)
    19: s(active(X)) -> s(X)
    20: length(mark(X)) -> length(X)
    21: length(active(X)) -> length(X)
    22: length1(mark(X)) -> length1(X)
    23: length1(active(X)) -> length1(X)
Number of strict rules: 23
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #active(length(nil())) -> #mark(0())
   #2: #mark(cons(X1,X2)) -> #active(cons(mark(X1),X2))
   #3: #mark(cons(X1,X2)) -> #cons(mark(X1),X2)
   #4: #mark(cons(X1,X2)) -> #mark(X1)
   #5: #from(active(X)) -> #from(X)
   #6: #mark(nil()) -> #active(nil())
   #7: #mark(length1(X)) -> #active(length1(X))
   #8: #length1(active(X)) -> #length1(X)
   #9: #from(mark(X)) -> #from(X)
   #10: #cons(mark(X1),X2) -> #cons(X1,X2)
   #11: #length(mark(X)) -> #length(X)
   #12: #mark(s(X)) -> #active(s(mark(X)))
   #13: #mark(s(X)) -> #s(mark(X))
   #14: #mark(s(X)) -> #mark(X)
   #15: #mark(0()) -> #active(0())
   #16: #mark(from(X)) -> #active(from(mark(X)))
   #17: #mark(from(X)) -> #from(mark(X))
   #18: #mark(from(X)) -> #mark(X)
   #19: #length1(mark(X)) -> #length1(X)
   #20: #cons(X1,active(X2)) -> #cons(X1,X2)
   #21: #s(active(X)) -> #s(X)
   #22: #length(active(X)) -> #length(X)
   #23: #cons(active(X1),X2) -> #cons(X1,X2)
   #24: #active(length(cons(X,Y))) -> #mark(s(length1(Y)))
   #25: #active(length(cons(X,Y))) -> #s(length1(Y))
   #26: #active(length(cons(X,Y))) -> #length1(Y)
   #27: #active(from(X)) -> #mark(cons(X,from(s(X))))
   #28: #active(from(X)) -> #cons(X,from(s(X)))
   #29: #active(from(X)) -> #from(s(X))
   #30: #active(from(X)) -> #s(X)
   #31: #mark(length(X)) -> #active(length(X))
   #32: #cons(X1,mark(X2)) -> #cons(X1,X2)
   #33: #active(length1(X)) -> #mark(length(X))
   #34: #active(length1(X)) -> #length(X)
   #35: #s(mark(X)) -> #s(X)
Number of SCCs: 6, DPs: 21, edges: 56
	SCC { #21 #35 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#length1(x1)	weight: 0
length1(x1)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
  from(x1)	weight: 0
   #s(x1)	weight: x1
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
length(x1)	weight: 0
#length(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #21 #35
Number of SCCs: 5, DPs: 19, edges: 52
	SCC { #11 #22 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#length1(x1)	weight: 0
length1(x1)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
  from(x1)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
length(x1)	weight: 0
#length(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #11 #22
Number of SCCs: 4, DPs: 17, edges: 48
	SCC { #8 #19 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#length1(x1)	weight: x1
length1(x1)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
  from(x1)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
length(x1)	weight: 0
#length(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #8 #19
Number of SCCs: 3, DPs: 15, edges: 44
	SCC { #5 #9 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#length1(x1)	weight: 0
length1(x1)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
  from(x1)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#from(x1)	weight: x1
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
length(x1)	weight: 0
#length(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #5 #9
Number of SCCs: 2, DPs: 13, edges: 40
	SCC { #10 #20 #23 #32 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: x1
     s(x1)	weight: 0
#length1(x1)	weight: 0
length1(x1)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
  from(x1)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
length(x1)	weight: 0
#length(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #10 #23
Number of SCCs: 2, DPs: 11, edges: 28
	SCC { #20 #32 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: x2
     s(x1)	weight: 0
#length1(x1)	weight: 0
length1(x1)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
  from(x1)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
length(x1)	weight: 0
#length(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #20 #32
Number of SCCs: 1, DPs: 9, edges: 24
	SCC { #4 #7 #14 #16 #18 #24 #27 #31 #33 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#length1(x1)	weight: 0
length1(x1)	weight: (/ 1 4)
#mark(x1)	weight: x1
     0()	weight: 0
  from(x1)	weight: (/ 1 2) + x1
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#from(x1)	weight: 0
active(x1)	weight: x1
  cons(x1,x2)	weight: (/ 1 4) + x1
#active(x1)	weight: x1
length(x1)	weight: (/ 1 4)
#length(x1)	weight: 0
    Usable rules: { 1..23 }
    Removed DPs: #4 #18 #27
Number of SCCs: 2, DPs: 5, edges: 7
	SCC { #7 #14 #24 #31 #33 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
#cons(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 8) + x1
#length1(x1)	weight: 0
length1(x1)	weight: (/ 3 8) + x1
#mark(x1)	weight: (/ 1 8) + x1
     0()	weight: 0
  from(x1)	weight: (/ 1 8)
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#from(x1)	weight: 0
active(x1)	weight: (/ 1 8) + x1
  cons(x1,x2)	weight: (/ 5 8) + x2
#active(x1)	weight: x1
length(x1)	weight: (/ 1 8) + x1
#length(x1)	weight: 0
    Usable rules: { 20..23 }
    Removed DPs: #7 #14 #24 #31 #33
Number of SCCs: 1, DPs: 0, edges: 0
YES