Input TRS:
    1: a__zeros() -> cons(0(),zeros())
    2: a__U11(tt()) -> tt()
    3: a__U21(tt()) -> tt()
    4: a__U31(tt()) -> tt()
    5: a__U41(tt(),V2) -> a__U42(a__isNatIList(V2))
    6: a__U42(tt()) -> tt()
    7: a__U51(tt(),V2) -> a__U52(a__isNatList(V2))
    8: a__U52(tt()) -> tt()
    9: a__U61(tt(),V2) -> a__U62(a__isNatIList(V2))
    10: a__U62(tt()) -> tt()
    11: a__U71(tt(),L,N) -> a__U72(a__isNat(N),L)
    12: a__U72(tt(),L) -> s(a__length(mark(L)))
    13: a__U81(tt()) -> nil()
    14: a__U91(tt(),IL,M,N) -> a__U92(a__isNat(M),IL,M,N)
    15: a__U92(tt(),IL,M,N) -> a__U93(a__isNat(N),IL,M,N)
    16: a__U93(tt(),IL,M,N) -> cons(mark(N),take(M,IL))
    17: a__isNat(0()) -> tt()
    18: a__isNat(length(V1)) -> a__U11(a__isNatList(V1))
    19: a__isNat(s(V1)) -> a__U21(a__isNat(V1))
    20: a__isNatIList(V) -> a__U31(a__isNatList(V))
    21: a__isNatIList(zeros()) -> tt()
    22: a__isNatIList(cons(V1,V2)) -> a__U41(a__isNat(V1),V2)
    23: a__isNatList(nil()) -> tt()
    24: a__isNatList(cons(V1,V2)) -> a__U51(a__isNat(V1),V2)
    25: a__isNatList(take(V1,V2)) -> a__U61(a__isNat(V1),V2)
    26: a__length(nil()) -> 0()
    27: a__length(cons(N,L)) -> a__U71(a__isNatList(L),L,N)
    28: a__take(0(),IL) -> a__U81(a__isNatIList(IL))
    29: a__take(s(M),cons(N,IL)) -> a__U91(a__isNatIList(IL),IL,M,N)
    30: mark(zeros()) -> a__zeros()
    31: mark(U11(X)) -> a__U11(mark(X))
    32: mark(U21(X)) -> a__U21(mark(X))
    33: mark(U31(X)) -> a__U31(mark(X))
    34: mark(U41(X1,X2)) -> a__U41(mark(X1),X2)
    35: mark(U42(X)) -> a__U42(mark(X))
    36: mark(isNatIList(X)) -> a__isNatIList(X)
    37: mark(U51(X1,X2)) -> a__U51(mark(X1),X2)
    38: mark(U52(X)) -> a__U52(mark(X))
    39: mark(isNatList(X)) -> a__isNatList(X)
    40: mark(U61(X1,X2)) -> a__U61(mark(X1),X2)
    41: mark(U62(X)) -> a__U62(mark(X))
    42: mark(U71(X1,X2,X3)) -> a__U71(mark(X1),X2,X3)
    43: mark(U72(X1,X2)) -> a__U72(mark(X1),X2)
    44: mark(isNat(X)) -> a__isNat(X)
    45: mark(length(X)) -> a__length(mark(X))
    46: mark(U81(X)) -> a__U81(mark(X))
    47: mark(U91(X1,X2,X3,X4)) -> a__U91(mark(X1),X2,X3,X4)
    48: mark(U92(X1,X2,X3,X4)) -> a__U92(mark(X1),X2,X3,X4)
    49: mark(U93(X1,X2,X3,X4)) -> a__U93(mark(X1),X2,X3,X4)
    50: mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
    51: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    52: mark(0()) -> 0()
    53: mark(tt()) -> tt()
    54: mark(s(X)) -> s(mark(X))
    55: mark(nil()) -> nil()
    56: a__zeros() -> zeros()
    57: a__U11(X) -> U11(X)
    58: a__U21(X) -> U21(X)
    59: a__U31(X) -> U31(X)
    60: a__U41(X1,X2) -> U41(X1,X2)
    61: a__U42(X) -> U42(X)
    62: a__isNatIList(X) -> isNatIList(X)
    63: a__U51(X1,X2) -> U51(X1,X2)
    64: a__U52(X) -> U52(X)
    65: a__isNatList(X) -> isNatList(X)
    66: a__U61(X1,X2) -> U61(X1,X2)
    67: a__U62(X) -> U62(X)
    68: a__U71(X1,X2,X3) -> U71(X1,X2,X3)
    69: a__U72(X1,X2) -> U72(X1,X2)
    70: a__isNat(X) -> isNat(X)
    71: a__length(X) -> length(X)
    72: a__U81(X) -> U81(X)
    73: a__U91(X1,X2,X3,X4) -> U91(X1,X2,X3,X4)
    74: a__U92(X1,X2,X3,X4) -> U92(X1,X2,X3,X4)
    75: a__U93(X1,X2,X3,X4) -> U93(X1,X2,X3,X4)
    76: a__take(X1,X2) -> take(X1,X2)
Number of strict rules: 76
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #mark(U72(X1,X2)) -> #a__U72(mark(X1),X2)
   #2: #mark(U72(X1,X2)) -> #mark(X1)
   #3: #a__take(s(M),cons(N,IL)) -> #a__U91(a__isNatIList(IL),IL,M,N)
   #4: #a__take(s(M),cons(N,IL)) -> #a__isNatIList(IL)
   #5: #mark(U42(X)) -> #a__U42(mark(X))
   #6: #mark(U42(X)) -> #mark(X)
   #7: #mark(U81(X)) -> #a__U81(mark(X))
   #8: #mark(U81(X)) -> #mark(X)
   #9: #mark(U71(X1,X2,X3)) -> #a__U71(mark(X1),X2,X3)
   #10: #mark(U71(X1,X2,X3)) -> #mark(X1)
   #11: #mark(U62(X)) -> #a__U62(mark(X))
   #12: #mark(U62(X)) -> #mark(X)
   #13: #mark(U51(X1,X2)) -> #a__U51(mark(X1),X2)
   #14: #mark(U51(X1,X2)) -> #mark(X1)
   #15: #mark(U91(X1,X2,X3,X4)) -> #a__U91(mark(X1),X2,X3,X4)
   #16: #mark(U91(X1,X2,X3,X4)) -> #mark(X1)
   #17: #mark(U92(X1,X2,X3,X4)) -> #a__U92(mark(X1),X2,X3,X4)
   #18: #mark(U92(X1,X2,X3,X4)) -> #mark(X1)
   #19: #mark(U52(X)) -> #a__U52(mark(X))
   #20: #mark(U52(X)) -> #mark(X)
   #21: #mark(U61(X1,X2)) -> #a__U61(mark(X1),X2)
   #22: #mark(U61(X1,X2)) -> #mark(X1)
   #23: #mark(cons(X1,X2)) -> #mark(X1)
   #24: #a__U61(tt(),V2) -> #a__U62(a__isNatIList(V2))
   #25: #a__U61(tt(),V2) -> #a__isNatIList(V2)
   #26: #a__U71(tt(),L,N) -> #a__U72(a__isNat(N),L)
   #27: #a__U71(tt(),L,N) -> #a__isNat(N)
   #28: #a__isNatList(cons(V1,V2)) -> #a__U51(a__isNat(V1),V2)
   #29: #a__isNatList(cons(V1,V2)) -> #a__isNat(V1)
   #30: #mark(length(X)) -> #a__length(mark(X))
   #31: #mark(length(X)) -> #mark(X)
   #32: #a__U72(tt(),L) -> #a__length(mark(L))
   #33: #a__U72(tt(),L) -> #mark(L)
   #34: #mark(U11(X)) -> #a__U11(mark(X))
   #35: #mark(U11(X)) -> #mark(X)
   #36: #a__U91(tt(),IL,M,N) -> #a__U92(a__isNat(M),IL,M,N)
   #37: #a__U91(tt(),IL,M,N) -> #a__isNat(M)
   #38: #mark(zeros()) -> #a__zeros()
   #39: #mark(U93(X1,X2,X3,X4)) -> #a__U93(mark(X1),X2,X3,X4)
   #40: #mark(U93(X1,X2,X3,X4)) -> #mark(X1)
   #41: #a__isNatList(take(V1,V2)) -> #a__U61(a__isNat(V1),V2)
   #42: #a__isNatList(take(V1,V2)) -> #a__isNat(V1)
   #43: #a__isNatIList(V) -> #a__U31(a__isNatList(V))
   #44: #a__isNatIList(V) -> #a__isNatList(V)
   #45: #a__U51(tt(),V2) -> #a__U52(a__isNatList(V2))
   #46: #a__U51(tt(),V2) -> #a__isNatList(V2)
   #47: #mark(isNatList(X)) -> #a__isNatList(X)
   #48: #mark(U31(X)) -> #a__U31(mark(X))
   #49: #mark(U31(X)) -> #mark(X)
   #50: #a__U41(tt(),V2) -> #a__U42(a__isNatIList(V2))
   #51: #a__U41(tt(),V2) -> #a__isNatIList(V2)
   #52: #mark(isNat(X)) -> #a__isNat(X)
   #53: #a__take(0(),IL) -> #a__U81(a__isNatIList(IL))
   #54: #a__take(0(),IL) -> #a__isNatIList(IL)
   #55: #a__isNatIList(cons(V1,V2)) -> #a__U41(a__isNat(V1),V2)
   #56: #a__isNatIList(cons(V1,V2)) -> #a__isNat(V1)
   #57: #mark(U41(X1,X2)) -> #a__U41(mark(X1),X2)
   #58: #mark(U41(X1,X2)) -> #mark(X1)
   #59: #a__length(cons(N,L)) -> #a__U71(a__isNatList(L),L,N)
   #60: #a__length(cons(N,L)) -> #a__isNatList(L)
   #61: #mark(U21(X)) -> #a__U21(mark(X))
   #62: #mark(U21(X)) -> #mark(X)
   #63: #a__isNat(s(V1)) -> #a__U21(a__isNat(V1))
   #64: #a__isNat(s(V1)) -> #a__isNat(V1)
   #65: #mark(isNatIList(X)) -> #a__isNatIList(X)
   #66: #a__U93(tt(),IL,M,N) -> #mark(N)
   #67: #mark(s(X)) -> #mark(X)
   #68: #a__U92(tt(),IL,M,N) -> #a__U93(a__isNat(N),IL,M,N)
   #69: #a__U92(tt(),IL,M,N) -> #a__isNat(N)
   #70: #mark(take(X1,X2)) -> #a__take(mark(X1),mark(X2))
   #71: #mark(take(X1,X2)) -> #mark(X1)
   #72: #mark(take(X1,X2)) -> #mark(X2)
   #73: #a__isNat(length(V1)) -> #a__U11(a__isNatList(V1))
   #74: #a__isNat(length(V1)) -> #a__isNatList(V1)
Number of SCCs: 2, DPs: 47, edges: 638
	SCC { #25 #28 #29 #41 #42 #44 #46 #51 #55 #56 #64 #74 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   U21(x1)	weight: (/ 3 8) + x1
isNatList(x1)	weight: (/ 1 4) + x1
#a__U72(x1,x2)	weight: 0
#a__U71(x1,x2,x3)	weight: 0
   U11(x1)	weight: 0
#a__U92(x1,x2,x3,x4)	weight: 0
     s(x1)	weight: (/ 1 8) + x1
#a__U31(x1)	weight: 0
#a__U93(x1,x2,x3,x4)	weight: 0
a__isNatIList(x1)	weight: (/ 1 8)
   U42(x1)	weight: (/ 1 2) + x1
   U91(x1,x2,x3,x4)	weight: 0
#a__isNat(x1)	weight: x1
  take(x1,x2)	weight: (/ 3 8) + x1 + x2
   U71(x1,x2,x3)	weight: 0
a__U62(x1)	weight: (/ 3 8)
isNatIList(x1)	weight: (/ 1 4) + x1
#a__U51(x1,x2)	weight: (/ 1 8) + x2
   U93(x1,x2,x3,x4)	weight: 0
   U72(x1,x2)	weight: 0
#a__U11(x1)	weight: 0
 zeros()	weight: 0
a__U31(x1)	weight: (/ 1 4)
a__U51(x1,x2)	weight: (/ 1 4) + x2
a__U81(x1)	weight: 0
#a__take(x1,x2)	weight: 0
a__isNatList(x1)	weight: (/ 1 8)
#a__U62(x1)	weight: 0
#a__U42(x1)	weight: 0
a__U41(x1,x2)	weight: (/ 1 4)
#a__U21(x1)	weight: 0
#a__isNatIList(x1)	weight: (/ 1 8) + x1
#a__U81(x1)	weight: 0
#a__U61(x1,x2)	weight: (/ 1 4) + x2
#mark(x1)	weight: 0
     0()	weight: 0
#a__zeros()	weight: 0
a__U21(x1)	weight: (/ 1 4)
a__U91(x1,x2,x3,x4)	weight: 0
   nil()	weight: 0
   U62(x1)	weight: (/ 1 2) + x1
#a__U52(x1)	weight: 0
  mark(x1)	weight: 0
a__U72(x1,x2)	weight: 0
a__U11(x1)	weight: 0
a__U42(x1)	weight: (/ 3 8)
a__U93(x1,x2,x3,x4)	weight: 0
a__U52(x1)	weight: (/ 3 8)
#a__length(x1)	weight: 0
 isNat(x1)	weight: 0
   U52(x1)	weight: (/ 1 2) + x1
   U61(x1,x2)	weight: (/ 3 8) + x1 + x2
   U31(x1)	weight: (/ 3 8) + x1
#a__isNatList(x1)	weight: x1
a__U71(x1,x2,x3)	weight: 0
   U92(x1,x2,x3,x4)	weight: 0
  cons(x1,x2)	weight: (/ 1 4) + x1 + x2
a__U92(x1,x2,x3,x4)	weight: 0
a__U61(x1,x2)	weight: (/ 1 4)
a__take(x1,x2)	weight: 0
   U81(x1)	weight: 0
#a__U41(x1,x2)	weight: (/ 1 4) + x2
    tt()	weight: 0
a__isNat(x1)	weight: (/ 1 8)
   U51(x1,x2)	weight: (/ 3 8)
length(x1)	weight: (/ 1 8) + x1
   U41(x1,x2)	weight: (/ 3 8) + x1
a__zeros()	weight: 0
#a__U91(x1,x2,x3,x4)	weight: 0
a__length(x1)	weight: 0
    Usable rules: { 2 17 18 57 70 }
    Removed DPs: #25 #28 #29 #41 #42 #44 #46 #51 #55 #56 #64 #74
Number of SCCs: 1, DPs: 35, edges: 609
	SCC { #1..3 #6 #8..10 #12 #14..18 #20 #22 #23 #26 #30..33 #35 #36 #39 #40 #49 #58 #59 #62 #66..68 #70..72 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   U21(x1)	weight: x1
isNatList(x1)	weight: 0
#a__U72(x1,x2)	weight: (/ 1 8) + x2
#a__U71(x1,x2,x3)	weight: (/ 1 8) + x2
   U11(x1)	weight: x1
#a__U92(x1,x2,x3,x4)	weight: (/ 1 4) + x4
     s(x1)	weight: x1
#a__U31(x1)	weight: 0
#a__U93(x1,x2,x3,x4)	weight: (/ 1 8) + x4
a__isNatIList(x1)	weight: 0
   U42(x1)	weight: x1
   U91(x1,x2,x3,x4)	weight: (/ 5 8) + x1 + x2 + x3 + x4
#a__isNat(x1)	weight: 0
  take(x1,x2)	weight: (/ 5 8) + x1 + x2
   U71(x1,x2,x3)	weight: (/ 1 4) + x1 + x2
a__U62(x1)	weight: x1
isNatIList(x1)	weight: 0
#a__U51(x1,x2)	weight: (/ 1 8)
   U93(x1,x2,x3,x4)	weight: (/ 5 8) + x1 + x2 + x3 + x4
   U72(x1,x2)	weight: (/ 1 4) + x1 + x2
#a__U11(x1)	weight: 0
 zeros()	weight: 0
a__U31(x1)	weight: x1
a__U51(x1,x2)	weight: x1
a__U81(x1)	weight: (/ 1 8) + x1
#a__take(x1,x2)	weight: (/ 1 2) + x2
a__isNatList(x1)	weight: 0
#a__U62(x1)	weight: 0
#a__U42(x1)	weight: 0
a__U41(x1,x2)	weight: x1
#a__U21(x1)	weight: 0
#a__isNatIList(x1)	weight: (/ 1 8)
#a__U81(x1)	weight: 0
#a__U61(x1,x2)	weight: (/ 1 4)
#mark(x1)	weight: x1
     0()	weight: 0
#a__zeros()	weight: 0
a__U21(x1)	weight: x1
a__U91(x1,x2,x3,x4)	weight: (/ 5 8) + x1 + x2 + x3 + x4
   nil()	weight: 0
   U62(x1)	weight: x1
#a__U52(x1)	weight: 0
  mark(x1)	weight: x1
a__U72(x1,x2)	weight: (/ 1 4) + x1 + x2
a__U11(x1)	weight: x1
a__U42(x1)	weight: x1
a__U93(x1,x2,x3,x4)	weight: (/ 5 8) + x1 + x2 + x3 + x4
a__U52(x1)	weight: x1
#a__length(x1)	weight: (/ 1 8) + x1
 isNat(x1)	weight: 0
   U52(x1)	weight: x1
   U61(x1,x2)	weight: x1
   U31(x1)	weight: x1
#a__isNatList(x1)	weight: 0
a__U71(x1,x2,x3)	weight: (/ 1 4) + x1 + x2
   U92(x1,x2,x3,x4)	weight: (/ 5 8) + x1 + x2 + x3 + x4
  cons(x1,x2)	weight: x1 + x2
a__U92(x1,x2,x3,x4)	weight: (/ 5 8) + x1 + x2 + x3 + x4
a__U61(x1,x2)	weight: x1
a__take(x1,x2)	weight: (/ 5 8) + x1 + x2
   U81(x1)	weight: (/ 1 8) + x1
#a__U41(x1,x2)	weight: (/ 1 4)
    tt()	weight: 0
a__isNat(x1)	weight: 0
   U51(x1,x2)	weight: x1
length(x1)	weight: (/ 1 4) + x1
   U41(x1,x2)	weight: x1
a__zeros()	weight: 0
#a__U91(x1,x2,x3,x4)	weight: (/ 3 8) + x4
a__length(x1)	weight: (/ 1 4) + x1
    Usable rules: { 1..76 }
    Removed DPs: #1..3 #8..10 #15..18 #30 #31 #33 #36 #39 #40 #66 #68 #70..72
Number of SCCs: 2, DPs: 14, edges: 124
	SCC { #26 #32 #59 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... succeeded.
   U21(x1)	weight: x1_1; x1_2
isNatList(x1)	weight: (/ 1 4) + x1_1; (/ 3 8) + x1_2
#a__U72(x1,x2)	weight: (/ 3 8) + x2_2; 0
#a__U71(x1,x2,x3)	weight: x2_2 + x1_1; 0
   U11(x1)	weight: (/ 1 2); (/ 3 8)
#a__U92(x1,x2,x3,x4)	weight: 0; 0
     s(x1)	weight: x1_1 + x1_2; x1_2
#a__U31(x1)	weight: 0; 0
#a__U93(x1,x2,x3,x4)	weight: 0; 0
a__isNatIList(x1)	weight: (/ 1 2); (/ 3 8)
   U42(x1)	weight: (/ 1 2); (/ 3 8)
   U91(x1,x2,x3,x4)	weight: x3_2; (/ 1 8) + x3_1 + x3_2 + x2_1 + x2_2
#a__isNat(x1)	weight: 0; 0
  take(x1,x2)	weight: x1_2; (/ 1 8) + x2_1 + x2_2 + x1_1
   U71(x1,x2,x3)	weight: (/ 1 4) + x2_1 + x2_2 + x1_1; (/ 1 4)
a__U62(x1)	weight: (/ 1 2); (/ 3 8)
isNatIList(x1)	weight: (/ 1 2); (/ 3 8)
#a__U51(x1,x2)	weight: 0; 0
   U93(x1,x2,x3,x4)	weight: x3_2; (/ 1 8) + x3_1 + x3_2 + x2_1 + x2_2
   U72(x1,x2)	weight: (/ 3 4) + x2_1 + x2_2; (/ 1 4)
#a__U11(x1)	weight: 0; 0
 zeros()	weight: 0; (/ 1 8)
a__U31(x1)	weight: (/ 1 2); (/ 3 8)
a__U51(x1,x2)	weight: (/ 1 4) + x2_1; (/ 3 8) + x2_1
a__U81(x1)	weight: (/ 1 4); (/ 1 8)
#a__take(x1,x2)	weight: 0; 0
a__isNatList(x1)	weight: (/ 1 4) + x1_1; (/ 3 8) + x1_2
#a__U62(x1)	weight: 0; 0
#a__U42(x1)	weight: 0; 0
a__U41(x1,x2)	weight: (/ 1 2); (/ 3 8)
#a__U21(x1)	weight: 0; 0
#a__isNatIList(x1)	weight: 0; 0
#a__U81(x1)	weight: 0; 0
#a__U61(x1,x2)	weight: 0; 0
#mark(x1)	weight: 0; 0
     0()	weight: (/ 1 2); (/ 1 4)
#a__zeros()	weight: 0; 0
a__U21(x1)	weight: x1_1; x1_2
a__U91(x1,x2,x3,x4)	weight: x3_2; (/ 1 8) + x3_1 + x3_2 + x2_1 + x2_2
   nil()	weight: (/ 1 4); (/ 1 8)
   U62(x1)	weight: (/ 1 2); (/ 3 8)
#a__U52(x1)	weight: 0; 0
  mark(x1)	weight: x1_1; x1_2
a__U72(x1,x2)	weight: (/ 3 4) + x2_1 + x2_2; (/ 1 4)
a__U11(x1)	weight: (/ 1 2); (/ 3 8)
a__U42(x1)	weight: (/ 1 2); (/ 3 8)
a__U93(x1,x2,x3,x4)	weight: x3_2; (/ 1 8) + x3_1 + x3_2 + x2_1 + x2_2
a__U52(x1)	weight: x1_1; (/ 3 8)
#a__length(x1)	weight: (/ 3 8) + x1_2; 0
 isNat(x1)	weight: x1_1; (/ 1 8) + x1_2
   U52(x1)	weight: x1_1; (/ 3 8)
   U61(x1,x2)	weight: (/ 1 8) + x1_2; (/ 3 8) + x2_1 + x2_2
   U31(x1)	weight: (/ 1 2); (/ 3 8)
#a__isNatList(x1)	weight: 0; 0
a__U71(x1,x2,x3)	weight: (/ 1 4) + x2_1 + x2_2 + x1_1; (/ 1 4)
   U92(x1,x2,x3,x4)	weight: x3_2; (/ 1 8) + x3_1 + x3_2 + x2_1 + x2_2
  cons(x1,x2)	weight: x2_1; x2_1 + x2_2
a__U92(x1,x2,x3,x4)	weight: x3_2; (/ 1 8) + x3_1 + x3_2 + x2_1 + x2_2
a__U61(x1,x2)	weight: (/ 1 8) + x1_2; (/ 3 8) + x2_1 + x2_2
a__take(x1,x2)	weight: x1_2; (/ 1 8) + x2_1 + x2_2 + x1_1
   U81(x1)	weight: (/ 1 4); (/ 1 8)
#a__U41(x1,x2)	weight: 0; 0
    tt()	weight: (/ 1 2); (/ 3 8)
a__isNat(x1)	weight: x1_1; (/ 1 8) + x1_2
   U51(x1,x2)	weight: (/ 1 4) + x2_1; (/ 3 8) + x2_1
length(x1)	weight: (/ 1 2) + x1_1 + x1_2; (/ 1 4)
   U41(x1,x2)	weight: (/ 1 2); (/ 3 8)
a__zeros()	weight: 0; (/ 1 8)
#a__U91(x1,x2,x3,x4)	weight: 0; 0
a__length(x1)	weight: (/ 1 2) + x1_1 + x1_2; (/ 1 4)
    Usable rules: { 1..76 }
    Removed DPs: #26 #59
Number of SCCs: 1, DPs: 11, edges: 121
	SCC { #6 #12 #14 #20 #22 #23 #35 #49 #58 #62 #67 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   U21(x1)	weight: (/ 1 4) + x1
isNatList(x1)	weight: (/ 1 8) + x1
#a__U72(x1,x2)	weight: (/ 1 8)
#a__U71(x1,x2,x3)	weight: (/ 1 8)
   U11(x1)	weight: (/ 5 8) + x1
#a__U92(x1,x2,x3,x4)	weight: (/ 1 4)
     s(x1)	weight: x1
#a__U31(x1)	weight: 0
#a__U93(x1,x2,x3,x4)	weight: (/ 1 8)
a__isNatIList(x1)	weight: x1
   U42(x1)	weight: (/ 1 2) + x1
   U91(x1,x2,x3,x4)	weight: (/ 3 8) + x1 + x2 + x3 + x4
#a__isNat(x1)	weight: 0
  take(x1,x2)	weight: (/ 5 8) + x1 + x2
   U71(x1,x2,x3)	weight: (/ 1 2) + x1 + x2 + x3
a__U62(x1)	weight: (/ 1 4) + x1
isNatIList(x1)	weight: (/ 1 8)
#a__U51(x1,x2)	weight: (/ 1 8)
   U93(x1,x2,x3,x4)	weight: (/ 1 4) + x1 + x2 + x3 + x4
   U72(x1,x2)	weight: x1 + x2
#a__U11(x1)	weight: 0
 zeros()	weight: 0
a__U31(x1)	weight: (/ 1 8) + x1
a__U51(x1,x2)	weight: (/ 1 8) + x1
a__U81(x1)	weight: (/ 1 4)
#a__take(x1,x2)	weight: (/ 1 2)
a__isNatList(x1)	weight: 0
#a__U62(x1)	weight: 0
#a__U42(x1)	weight: 0
a__U41(x1,x2)	weight: (/ 1 4)
#a__U21(x1)	weight: 0
#a__isNatIList(x1)	weight: (/ 1 8)
#a__U81(x1)	weight: 0
#a__U61(x1,x2)	weight: (/ 1 4)
#mark(x1)	weight: x1
     0()	weight: 0
#a__zeros()	weight: 0
a__U21(x1)	weight: (/ 1 8) + x1
a__U91(x1,x2,x3,x4)	weight: (/ 1 4)
   nil()	weight: 0
   U62(x1)	weight: (/ 3 8) + x1
#a__U52(x1)	weight: 0
  mark(x1)	weight: 0
a__U72(x1,x2)	weight: (/ 1 8) + x1 + x2
a__U11(x1)	weight: (/ 1 2)
a__U42(x1)	weight: (/ 3 8)
a__U93(x1,x2,x3,x4)	weight: (/ 1 8) + x1
a__U52(x1)	weight: (/ 1 4) + x1
#a__length(x1)	weight: (/ 1 8)
 isNat(x1)	weight: (/ 1 2) + x1
   U52(x1)	weight: (/ 3 8) + x1
   U61(x1,x2)	weight: (/ 1 4) + x1 + x2
   U31(x1)	weight: (/ 1 4) + x1
#a__isNatList(x1)	weight: 0
a__U71(x1,x2,x3)	weight: (/ 3 8)
   U92(x1,x2,x3,x4)	weight: (/ 1 4) + x1 + x2 + x3 + x4
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
a__U92(x1,x2,x3,x4)	weight: (/ 1 8) + x1 + x2 + x3 + x4
a__U61(x1,x2)	weight: (/ 1 8) + x1
a__take(x1,x2)	weight: (/ 1 8)
   U81(x1)	weight: (/ 3 8) + x1
#a__U41(x1,x2)	weight: (/ 1 4)
    tt()	weight: 0
a__isNat(x1)	weight: (/ 3 8)
   U51(x1,x2)	weight: (/ 1 4) + x1 + x2
length(x1)	weight: (/ 3 8) + x1
   U41(x1,x2)	weight: (/ 3 8) + x1 + x2
a__zeros()	weight: 0
#a__U91(x1,x2,x3,x4)	weight: (/ 3 8)
a__length(x1)	weight: (/ 1 4)
    Usable rules: { }
    Removed DPs: #6 #12 #14 #20 #22 #23 #35 #49 #58 #62
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #67 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   U21(x1)	weight: (/ 1 2) + x1
isNatList(x1)	weight: (/ 1 8) + x1
#a__U72(x1,x2)	weight: (/ 1 8)
#a__U71(x1,x2,x3)	weight: (/ 1 8)
   U11(x1)	weight: (/ 3 8) + x1
#a__U92(x1,x2,x3,x4)	weight: (/ 1 4)
     s(x1)	weight: (/ 1 4) + x1
#a__U31(x1)	weight: 0
#a__U93(x1,x2,x3,x4)	weight: (/ 1 8)
a__isNatIList(x1)	weight: x1
   U42(x1)	weight: (/ 1 2) + x1
   U91(x1,x2,x3,x4)	weight: (/ 3 8) + x1 + x2 + x3 + x4
#a__isNat(x1)	weight: 0
  take(x1,x2)	weight: (/ 5 8) + x1 + x2
   U71(x1,x2,x3)	weight: (/ 3 8) + x1 + x2 + x3
a__U62(x1)	weight: (/ 1 4) + x1
isNatIList(x1)	weight: (/ 1 8)
#a__U51(x1,x2)	weight: (/ 1 8)
   U93(x1,x2,x3,x4)	weight: (/ 1 2) + x1 + x2 + x3 + x4
   U72(x1,x2)	weight: x1 + x2
#a__U11(x1)	weight: 0
 zeros()	weight: 0
a__U31(x1)	weight: (/ 1 8) + x1
a__U51(x1,x2)	weight: (/ 1 8) + x1
a__U81(x1)	weight: (/ 1 4)
#a__take(x1,x2)	weight: (/ 1 2)
a__isNatList(x1)	weight: 0
#a__U62(x1)	weight: 0
#a__U42(x1)	weight: 0
a__U41(x1,x2)	weight: (/ 1 4)
#a__U21(x1)	weight: 0
#a__isNatIList(x1)	weight: (/ 1 8)
#a__U81(x1)	weight: 0
#a__U61(x1,x2)	weight: (/ 1 4)
#mark(x1)	weight: x1
     0()	weight: 0
#a__zeros()	weight: 0
a__U21(x1)	weight: (/ 3 8) + x1
a__U91(x1,x2,x3,x4)	weight: (/ 1 4)
   nil()	weight: 0
   U62(x1)	weight: (/ 3 8) + x1
#a__U52(x1)	weight: 0
  mark(x1)	weight: 0
a__U72(x1,x2)	weight: (/ 1 4) + x1 + x2
a__U11(x1)	weight: (/ 1 4)
a__U42(x1)	weight: (/ 3 8)
a__U93(x1,x2,x3,x4)	weight: (/ 3 8)
a__U52(x1)	weight: (/ 1 4) + x1
#a__length(x1)	weight: (/ 1 8)
 isNat(x1)	weight: (/ 1 4) + x1
   U52(x1)	weight: (/ 3 8) + x1
   U61(x1,x2)	weight: (/ 1 4) + x1 + x2
   U31(x1)	weight: (/ 1 4) + x1
#a__isNatList(x1)	weight: 0
a__U71(x1,x2,x3)	weight: (/ 1 4) + x3
   U92(x1,x2,x3,x4)	weight: (/ 3 8) + x1 + x2 + x3 + x4
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
a__U92(x1,x2,x3,x4)	weight: (/ 1 4) + x1 + x2 + x3 + x4
a__U61(x1,x2)	weight: (/ 1 8) + x1
a__take(x1,x2)	weight: (/ 1 8)
   U81(x1)	weight: (/ 3 8) + x1
#a__U41(x1,x2)	weight: (/ 1 4)
    tt()	weight: 0
a__isNat(x1)	weight: (/ 1 8) + x1
   U51(x1,x2)	weight: (/ 1 4) + x1 + x2
length(x1)	weight: 0
   U41(x1,x2)	weight: (/ 3 8) + x1 + x2
a__zeros()	weight: 0
#a__U91(x1,x2,x3,x4)	weight: (/ 3 8)
a__length(x1)	weight: (/ 1 8)
    Usable rules: { }
    Removed DPs: #67
Number of SCCs: 0, DPs: 0, edges: 0
YES