- : unit = ()
- : unit = ()
h : heuristic = <heuristic>
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)

TRS termination of:
[1] zeros -> cons(0,n__zeros)
[2] U11(tt) -> tt
[3] U21(tt) -> tt
[4] U31(tt) -> tt
[5] U41(tt,V2) -> U42(isNatIList(activate(V2)))
[6] U42(tt) -> tt
[7] U51(tt,V2) -> U52(isNatList(activate(V2)))
[8] U52(tt) -> tt
[9] U61(tt,V2) -> U62(isNatIList(activate(V2)))
[10] U62(tt) -> tt
[11] U71(tt,L,N) -> U72(isNat(activate(N)),activate(L))
[12] U72(tt,L) -> s(length(activate(L)))
[13] U81(tt) -> nil
[14] U91(tt,IL,M,N) ->
 U92(isNat(activate(M)),activate(IL),activate(M),activate(N))
[15] U92(tt,IL,M,N) ->
 U93(isNat(activate(N)),activate(IL),activate(M),activate(N))
[16] U93(tt,IL,M,N) -> cons(activate(N),n__take(activate(M),activate(IL)))
[17] isNat(n__0) -> tt
[18] isNat(n__length(V1)) -> U11(isNatList(activate(V1)))
[19] isNat(n__s(V1)) -> U21(isNat(activate(V1)))
[20] isNatIList(V) -> U31(isNatList(activate(V)))
[21] isNatIList(n__zeros) -> tt
[22] isNatIList(n__cons(V1,V2)) -> U41(isNat(activate(V1)),activate(V2))
[23] isNatList(n__nil) -> tt
[24] isNatList(n__cons(V1,V2)) -> U51(isNat(activate(V1)),activate(V2))
[25] isNatList(n__take(V1,V2)) -> U61(isNat(activate(V1)),activate(V2))
[26] length(nil) -> 0
[27] length(cons(N,L)) -> U71(isNatList(activate(L)),activate(L),N)
[28] take(0,IL) -> U81(isNatIList(IL))
[29] take(s(M),cons(N,IL)) -> U91(isNatIList(activate(IL)),activate(IL),M,N)
[30] zeros -> n__zeros
[31] take(X1,X2) -> n__take(X1,X2)
[32] 0 -> n__0
[33] length(X) -> n__length(X)
[34] s(X) -> n__s(X)
[35] cons(X1,X2) -> n__cons(X1,X2)
[36] nil -> n__nil
[37] activate(n__zeros) -> zeros
[38] activate(n__take(X1,X2)) -> take(X1,X2)
[39] activate(n__0) -> 0
[40] activate(n__length(X)) -> length(X)
[41] activate(n__s(X)) -> s(X)
[42] activate(n__cons(X1,X2)) -> cons(X1,X2)
[43] activate(n__nil) -> nil
[44] activate(X) -> X


Sub problem: 
guided: 

DP termination of:
<Marked_zeros , Marked_cons(0,n__zeros)>
<Marked_zeros , Marked_0>
<Marked_U41(tt,V2) , Marked_U42(isNatIList(activate(V2)))>
<Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))>
<Marked_U41(tt,V2) , Marked_activate(V2)>
<Marked_U51(tt,V2) , Marked_U52(isNatList(activate(V2)))>
<Marked_U51(tt,V2) , Marked_isNatList(activate(V2))>
<Marked_U51(tt,V2) , Marked_activate(V2)>
<Marked_U61(tt,V2) , Marked_U62(isNatIList(activate(V2)))>
<Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))>
<Marked_U61(tt,V2) , Marked_activate(V2)>
<Marked_U71(tt,L,N) , Marked_U72(isNat(activate(N)),activate(L))>
<Marked_U71(tt,L,N) , Marked_isNat(activate(N))>
<Marked_U71(tt,L,N) , Marked_activate(N)>
<Marked_U71(tt,L,N) , Marked_activate(L)>
<Marked_U72(tt,L) , Marked_s(length(activate(L)))>
<Marked_U72(tt,L) , Marked_length(activate(L))>
<Marked_U72(tt,L) , Marked_activate(L)>
<Marked_U81(tt) , Marked_nil>
<Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                          activate(M),activate(N))>
<Marked_U91(tt,IL,M,N) , Marked_isNat(activate(M))>
<Marked_U91(tt,IL,M,N) , Marked_activate(M)>
<Marked_U91(tt,IL,M,N) , Marked_activate(IL)>
<Marked_U91(tt,IL,M,N) , Marked_activate(M)>
<Marked_U91(tt,IL,M,N) , Marked_activate(N)>
<Marked_U92(tt,IL,M,N) , Marked_U93(isNat(activate(N)),activate(IL),
                          activate(M),activate(N))>
<Marked_U92(tt,IL,M,N) , Marked_isNat(activate(N))>
<Marked_U92(tt,IL,M,N) , Marked_activate(N)>
<Marked_U92(tt,IL,M,N) , Marked_activate(IL)>
<Marked_U92(tt,IL,M,N) , Marked_activate(M)>
<Marked_U92(tt,IL,M,N) , Marked_activate(N)>
<Marked_U93(tt,IL,M,N) , Marked_cons(activate(N),
                          n__take(activate(M),activate(IL)))>
<Marked_U93(tt,IL,M,N) , Marked_activate(N)>
<Marked_U93(tt,IL,M,N) , Marked_activate(M)>
<Marked_U93(tt,IL,M,N) , Marked_activate(IL)>
<Marked_isNat(n__length(V1)) , Marked_U11(isNatList(activate(V1)))>
<Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))>
<Marked_isNat(n__length(V1)) , Marked_activate(V1)>
<Marked_isNat(n__s(V1)) , Marked_U21(isNat(activate(V1)))>
<Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
<Marked_isNat(n__s(V1)) , Marked_activate(V1)>
<Marked_isNatIList(V) , Marked_U31(isNatList(activate(V)))>
<Marked_isNatIList(V) , Marked_isNatList(activate(V))>
<Marked_isNatIList(V) , Marked_activate(V)>
<Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                      activate(V2))>
<Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
<Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)>
<Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)>
<Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                     activate(V2))>
<Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
<Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)>
<Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)>
<Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                     activate(V2))>
<Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))>
<Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)>
<Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)>
<Marked_length(nil) , Marked_0>
<Marked_length(cons(N,L)) , Marked_U71(isNatList(activate(L)),activate(L),N)>
<Marked_length(cons(N,L)) , Marked_isNatList(activate(L))>
<Marked_length(cons(N,L)) , Marked_activate(L)>
<Marked_length(cons(N,L)) , Marked_activate(L)>
<Marked_take(0,IL) , Marked_U81(isNatIList(IL))>
<Marked_take(0,IL) , Marked_isNatIList(IL)>
<Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                 activate(IL),M,N)>
<Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))>
<Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)>
<Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)>
<Marked_activate(n__zeros) , Marked_zeros>
<Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
<Marked_activate(n__0) , Marked_0>
<Marked_activate(n__length(X)) , Marked_length(X)>
<Marked_activate(n__s(X)) , Marked_s(X)>
<Marked_activate(n__cons(X1,X2)) , Marked_cons(X1,X2)>
<Marked_activate(n__nil) , Marked_nil>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_activate(n__length(X)) , Marked_length(X)> 
      --> <Marked_length(cons(N,L)) , Marked_activate(L)>
  <Marked_activate(n__length(X)) , Marked_length(X)> 
     --> <Marked_length(cons(N,L)) , Marked_activate(L)>
  <Marked_activate(n__length(X)) , Marked_length(X)> 
     --> <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))>
  <Marked_activate(n__length(X)) , Marked_length(X)> 
     --> <Marked_length(cons(N,L)) , Marked_U71(isNatList(activate(L)),
                                      activate(L),N)>
  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
     --> <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)>
  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
     --> <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)>
  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
     --> <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))>
  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
     --> <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                          activate(IL),M,N)>
  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
     --> <Marked_take(0,IL) , Marked_isNatIList(IL)>
  <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(V) , Marked_activate(V)>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_activate(N)>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_activate(M)>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_activate(IL)>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_activate(M)>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_isNat(activate(M))>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                                   activate(M),activate(N))>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(V) , Marked_activate(V)>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
  <Marked_length(cons(N,L)) , Marked_activate(L)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_length(cons(N,L)) , Marked_activate(L)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_length(cons(N,L)) , Marked_activate(L)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_length(cons(N,L)) , Marked_activate(L)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_length(cons(N,L)) , Marked_U71(isNatList(activate(L)),activate(L),N)> 
     --> <Marked_U71(tt,L,N) , Marked_activate(L)>
  <Marked_length(cons(N,L)) , Marked_U71(isNatList(activate(L)),activate(L),N)> 
     --> <Marked_U71(tt,L,N) , Marked_activate(N)>
  <Marked_length(cons(N,L)) , Marked_U71(isNatList(activate(L)),activate(L),N)> 
     --> <Marked_U71(tt,L,N) , Marked_isNat(activate(N))>
  <Marked_length(cons(N,L)) , Marked_U71(isNatList(activate(L)),activate(L),N)> 
     --> <Marked_U71(tt,L,N) , Marked_U72(isNat(activate(N)),activate(L))>
  <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__length(V1)) , Marked_activate(V1)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))>
  <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                       activate(V2))> 
     --> <Marked_U61(tt,V2) , Marked_activate(V2)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                       activate(V2))> 
     --> <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__length(V1)) , Marked_activate(V1)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                       activate(V2))> 
     --> <Marked_U51(tt,V2) , Marked_activate(V2)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                       activate(V2))> 
     --> <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__length(V1)) , Marked_activate(V1)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                        activate(V2))> 
     --> <Marked_U41(tt,V2) , Marked_activate(V2)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                        activate(V2))> 
     --> <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))>
  <Marked_isNatIList(V) , Marked_activate(V)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_isNatIList(V) , Marked_activate(V)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_isNat(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_isNat(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__length(V1)) , Marked_activate(V1)>
  <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))>
  <Marked_isNat(n__length(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_isNat(n__length(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_U93(tt,IL,M,N) , Marked_activate(IL)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U93(tt,IL,M,N) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U93(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U93(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U93(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U93(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(IL)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,IL,M,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_U92(tt,IL,M,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__length(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,IL,M,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))>
  <Marked_U92(tt,IL,M,N) , Marked_U93(isNat(activate(N)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U93(tt,IL,M,N) , Marked_activate(IL)>
  <Marked_U92(tt,IL,M,N) , Marked_U93(isNat(activate(N)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U93(tt,IL,M,N) , Marked_activate(M)>
  <Marked_U92(tt,IL,M,N) , Marked_U93(isNat(activate(N)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U93(tt,IL,M,N) , Marked_activate(N)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(IL)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U91(tt,IL,M,N) , Marked_isNat(activate(M))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_U91(tt,IL,M,N) , Marked_isNat(activate(M))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_U91(tt,IL,M,N) , Marked_isNat(activate(M))> 
     --> <Marked_isNat(n__length(V1)) , Marked_activate(V1)>
  <Marked_U91(tt,IL,M,N) , Marked_isNat(activate(M))> 
     --> <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_activate(N)>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_activate(M)>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_activate(IL)>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_activate(N)>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_isNat(activate(N))>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_U93(isNat(activate(N)),activate(IL),
                                   activate(M),activate(N))>
  <Marked_U72(tt,L) , Marked_activate(L)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U72(tt,L) , Marked_activate(L)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U72(tt,L) , Marked_length(activate(L))> 
     --> <Marked_length(cons(N,L)) , Marked_activate(L)>
  <Marked_U72(tt,L) , Marked_length(activate(L))> 
     --> <Marked_length(cons(N,L)) , Marked_activate(L)>
  <Marked_U72(tt,L) , Marked_length(activate(L))> 
     --> <Marked_length(cons(N,L)) , Marked_isNatList(activate(L))>
  <Marked_U72(tt,L) , Marked_length(activate(L))> 
     --> <Marked_length(cons(N,L)) , Marked_U71(isNatList(activate(L)),
                                      activate(L),N)>
  <Marked_U71(tt,L,N) , Marked_activate(L)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U71(tt,L,N) , Marked_activate(L)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U71(tt,L,N) , Marked_activate(N)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U71(tt,L,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U71(tt,L,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_U71(tt,L,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_U71(tt,L,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__length(V1)) , Marked_activate(V1)>
  <Marked_U71(tt,L,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__length(V1)) , Marked_isNatList(activate(V1))>
  <Marked_U71(tt,L,N) , Marked_U72(isNat(activate(N)),activate(L))> 
     --> <Marked_U72(tt,L) , Marked_activate(L)>
  <Marked_U71(tt,L,N) , Marked_U72(isNat(activate(N)),activate(L))> 
     --> <Marked_U72(tt,L) , Marked_length(activate(L))>
  <Marked_U61(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U61(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_activate(V)>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
  <Marked_U51(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U51(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_U41(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__length(X)) , Marked_length(X)>
  <Marked_U41(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_activate(V)>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cons(X1,X2) >= n__cons(X1,X2) ;
  0 >= n__0 ;
  zeros >= cons(0,n__zeros) ;
  zeros >= n__zeros ;
  U11(tt) >= tt ;
  U21(tt) >= tt ;
  U31(tt) >= tt ;
  U42(tt) >= tt ;
  isNatIList(n__zeros) >= tt ;
  isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2)) ;
  isNatIList(V) >= U31(isNatList(activate(V))) ;
  activate(n__zeros) >= zeros ;
  activate(n__take(X1,X2)) >= take(X1,X2) ;
  activate(n__0) >= 0 ;
  activate(n__length(X)) >= length(X) ;
  activate(n__s(X)) >= s(X) ;
  activate(n__cons(X1,X2)) >= cons(X1,X2) ;
  activate(n__nil) >= nil ;
  activate(X) >= X ;
  U41(tt,V2) >= U42(isNatIList(activate(V2))) ;
  U52(tt) >= tt ;
  isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__nil) >= tt ;
  U51(tt,V2) >= U52(isNatList(activate(V2))) ;
  U62(tt) >= tt ;
  U61(tt,V2) >= U62(isNatIList(activate(V2))) ;
  U72(tt,L) >= s(length(activate(L))) ;
  isNat(n__0) >= tt ;
  isNat(n__length(V1)) >= U11(isNatList(activate(V1))) ;
  isNat(n__s(V1)) >= U21(isNat(activate(V1))) ;
  U71(tt,L,N) >= U72(isNat(activate(N)),activate(L)) ;
  s(X) >= n__s(X) ;
  length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N) ;
  length(nil) >= 0 ;
  length(X) >= n__length(X) ;
  nil >= n__nil ;
  U81(tt) >= nil ;
  U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                     activate(N)) ;
  U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                     activate(N)) ;
  U93(tt,IL,M,N) >= cons(activate(N),n__take(activate(M),activate(IL))) ;
  take(0,IL) >= U81(isNatIList(IL)) ;
  take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),M,N) ;
  take(X1,X2) >= n__take(X1,X2) ;
  Marked_activate(n__take(X1,X2)) >= Marked_take(X1,X2) ;
  Marked_activate(n__length(X)) >= Marked_length(X) ;
  Marked_length(cons(N,L)) >= Marked_activate(L) ;
  Marked_length(cons(N,L)) >= Marked_U71(isNatList(activate(L)),activate(L),N) ;
  Marked_length(cons(N,L)) >= Marked_isNatList(activate(L)) ;
  Marked_take(0,IL) >= Marked_isNatIList(IL) ;
  Marked_take(s(M),cons(N,IL)) >= Marked_activate(IL) ;
  Marked_take(s(M),cons(N,IL)) >= Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N) ;
  Marked_take(s(M),cons(N,IL)) >= Marked_isNatIList(activate(IL)) ;
  Marked_U91(tt,IL,M,N) >= Marked_activate(N) ;
  Marked_U91(tt,IL,M,N) >= Marked_activate(IL) ;
  Marked_U91(tt,IL,M,N) >= Marked_activate(M) ;
  Marked_U91(tt,IL,M,N) >= Marked_isNat(activate(M)) ;
  Marked_U91(tt,IL,M,N) >= Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N)) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_activate(V2) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_activate(V1) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_isNat(activate(V1)) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_U41(isNat(activate(V1)),
                                        activate(V2)) ;
  Marked_isNatIList(V) >= Marked_activate(V) ;
  Marked_isNatIList(V) >= Marked_isNatList(activate(V)) ;
  Marked_U71(tt,L,N) >= Marked_activate(L) ;
  Marked_U71(tt,L,N) >= Marked_activate(N) ;
  Marked_U71(tt,L,N) >= Marked_isNat(activate(N)) ;
  Marked_U71(tt,L,N) >= Marked_U72(isNat(activate(N)),activate(L)) ;
  Marked_isNatList(n__take(V1,V2)) >= Marked_activate(V2) ;
  Marked_isNatList(n__take(V1,V2)) >= Marked_activate(V1) ;
  Marked_isNatList(n__take(V1,V2)) >= Marked_U61(isNat(activate(V1)),
                                       activate(V2)) ;
  Marked_isNatList(n__take(V1,V2)) >= Marked_isNat(activate(V1)) ;
  Marked_isNatList(n__cons(V1,V2)) >= Marked_activate(V2) ;
  Marked_isNatList(n__cons(V1,V2)) >= Marked_activate(V1) ;
  Marked_isNatList(n__cons(V1,V2)) >= Marked_isNat(activate(V1)) ;
  Marked_isNatList(n__cons(V1,V2)) >= Marked_U51(isNat(activate(V1)),
                                       activate(V2)) ;
  Marked_U61(tt,V2) >= Marked_activate(V2) ;
  Marked_U61(tt,V2) >= Marked_isNatIList(activate(V2)) ;
  Marked_isNat(n__length(V1)) >= Marked_activate(V1) ;
  Marked_isNat(n__length(V1)) >= Marked_isNatList(activate(V1)) ;
  Marked_isNat(n__s(V1)) >= Marked_activate(V1) ;
  Marked_isNat(n__s(V1)) >= Marked_isNat(activate(V1)) ;
  Marked_U51(tt,V2) >= Marked_activate(V2) ;
  Marked_U51(tt,V2) >= Marked_isNatList(activate(V2)) ;
  Marked_U41(tt,V2) >= Marked_activate(V2) ;
  Marked_U41(tt,V2) >= Marked_isNatIList(activate(V2)) ;
  Marked_U93(tt,IL,M,N) >= Marked_activate(N) ;
  Marked_U93(tt,IL,M,N) >= Marked_activate(IL) ;
  Marked_U93(tt,IL,M,N) >= Marked_activate(M) ;
  Marked_U92(tt,IL,M,N) >= Marked_activate(N) ;
  Marked_U92(tt,IL,M,N) >= Marked_activate(IL) ;
  Marked_U92(tt,IL,M,N) >= Marked_activate(M) ;
  Marked_U92(tt,IL,M,N) >= Marked_isNat(activate(N)) ;
  Marked_U92(tt,IL,M,N) >= Marked_U93(isNat(activate(N)),activate(IL),
                            activate(M),activate(N)) ;
  Marked_U72(tt,L) >= Marked_activate(L) ;
  Marked_U72(tt,L) >= Marked_length(activate(L)) ;
 }
 + Disjunctions:{ 
{
  Marked_activate(n__take(X1,X2)) > Marked_take(X1,X2) ;
 }
{
  Marked_activate(n__length(X)) > Marked_length(X) ;
 }
{
  Marked_length(cons(N,L)) > Marked_activate(L) ;
 }
{
  Marked_length(cons(N,L)) > Marked_U71(isNatList(activate(L)),activate(L),N) ;
 }
{
  Marked_length(cons(N,L)) > Marked_isNatList(activate(L)) ;
 }
{
  Marked_take(0,IL) > Marked_isNatIList(IL) ;
 }
{
  Marked_take(s(M),cons(N,IL)) > Marked_activate(IL) ;
 }
{
  Marked_take(s(M),cons(N,IL)) > Marked_U91(isNatIList(activate(IL)),
                                  activate(IL),M,N) ;
 }
{
  Marked_take(s(M),cons(N,IL)) > Marked_isNatIList(activate(IL)) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_activate(N) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_activate(IL) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_activate(M) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_isNat(activate(M)) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_U92(isNat(activate(M)),activate(IL),
                           activate(M),activate(N)) ;
 }
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_activate(V2) ;
 }
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_activate(V1) ;
 }
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_isNat(activate(V1)) ;
 }
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_U41(isNat(activate(V1)),
                                       activate(V2)) ;
 }
{
  Marked_isNatIList(V) > Marked_activate(V) ;
 }
{
  Marked_isNatIList(V) > Marked_isNatList(activate(V)) ;
 }
{
  Marked_U71(tt,L,N) > Marked_activate(L) ;
 }
{
  Marked_U71(tt,L,N) > Marked_activate(N) ;
 }
{
  Marked_U71(tt,L,N) > Marked_isNat(activate(N)) ;
 }
{
  Marked_U71(tt,L,N) > Marked_U72(isNat(activate(N)),activate(L)) ;
 }
{
  Marked_isNatList(n__take(V1,V2)) > Marked_activate(V2) ;
 }
{
  Marked_isNatList(n__take(V1,V2)) > Marked_activate(V1) ;
 }
{
  Marked_isNatList(n__take(V1,V2)) > Marked_U61(isNat(activate(V1)),
                                      activate(V2)) ;
 }
{
  Marked_isNatList(n__take(V1,V2)) > Marked_isNat(activate(V1)) ;
 }
{
  Marked_isNatList(n__cons(V1,V2)) > Marked_activate(V2) ;
 }
{
  Marked_isNatList(n__cons(V1,V2)) > Marked_activate(V1) ;
 }
{
  Marked_isNatList(n__cons(V1,V2)) > Marked_isNat(activate(V1)) ;
 }
{
  Marked_isNatList(n__cons(V1,V2)) > Marked_U51(isNat(activate(V1)),
                                      activate(V2)) ;
 }
{
  Marked_U61(tt,V2) > Marked_activate(V2) ;
 }
{
  Marked_U61(tt,V2) > Marked_isNatIList(activate(V2)) ;
 }
{
  Marked_isNat(n__length(V1)) > Marked_activate(V1) ;
 }
{
  Marked_isNat(n__length(V1)) > Marked_isNatList(activate(V1)) ;
 }
{
  Marked_isNat(n__s(V1)) > Marked_activate(V1) ;
 }
{
  Marked_isNat(n__s(V1)) > Marked_isNat(activate(V1)) ;
 }
{
  Marked_U51(tt,V2) > Marked_activate(V2) ;
 }
{
  Marked_U51(tt,V2) > Marked_isNatList(activate(V2)) ;
 }
{
  Marked_U41(tt,V2) > Marked_activate(V2) ;
 }
{
  Marked_U41(tt,V2) > Marked_isNatIList(activate(V2)) ;
 }
{
  Marked_U93(tt,IL,M,N) > Marked_activate(N) ;
 }
{
  Marked_U93(tt,IL,M,N) > Marked_activate(IL) ;
 }
{
  Marked_U93(tt,IL,M,N) > Marked_activate(M) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_activate(N) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_activate(IL) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_activate(M) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_isNat(activate(N)) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_U93(isNat(activate(N)),activate(IL),
                           activate(M),activate(N)) ;
 }
{
  Marked_U72(tt,L) > Marked_activate(L) ;
 }
{
  Marked_U72(tt,L) > Marked_length(activate(L)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: cons(X1,X2) >= n__cons(X1,X2)
constraint: 0 >= n__0
constraint: zeros >= cons(0,n__zeros)
constraint: zeros >= n__zeros
constraint: U11(tt) >= tt
constraint: U21(tt) >= tt
constraint: U31(tt) >= tt
constraint: U42(tt) >= tt
constraint: isNatIList(n__zeros) >= tt
constraint: isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2))
constraint: isNatIList(V) >= U31(isNatList(activate(V)))
constraint: activate(n__zeros) >= zeros
constraint: activate(n__take(X1,X2)) >= take(X1,X2)
constraint: activate(n__0) >= 0
constraint: activate(n__length(X)) >= length(X)
constraint: activate(n__s(X)) >= s(X)
constraint: activate(n__cons(X1,X2)) >= cons(X1,X2)
constraint: activate(n__nil) >= nil
constraint: activate(X) >= X
constraint: U41(tt,V2) >= U42(isNatIList(activate(V2)))
constraint: U52(tt) >= tt
constraint: isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__nil) >= tt
constraint: U51(tt,V2) >= U52(isNatList(activate(V2)))
constraint: U62(tt) >= tt
constraint: U61(tt,V2) >= U62(isNatIList(activate(V2)))
constraint: U72(tt,L) >= s(length(activate(L)))
constraint: isNat(n__0) >= tt
constraint: isNat(n__length(V1)) >= U11(isNatList(activate(V1)))
constraint: isNat(n__s(V1)) >= U21(isNat(activate(V1)))
constraint: U71(tt,L,N) >= U72(isNat(activate(N)),activate(L))
constraint: s(X) >= n__s(X)
constraint: length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N)
constraint: length(nil) >= 0
constraint: length(X) >= n__length(X)
constraint: nil >= n__nil
constraint: U81(tt) >= nil
constraint: U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                               activate(N))
constraint: U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                               activate(N))
constraint: U93(tt,IL,M,N) >= cons(activate(N),
                               n__take(activate(M),activate(IL)))
constraint: take(0,IL) >= U81(isNatIList(IL))
constraint: take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),
                                      M,N)
constraint: take(X1,X2) >= n__take(X1,X2)
constraint: Marked_activate(n__take(X1,X2)) >= Marked_take(X1,X2)
constraint: Marked_activate(n__length(X)) >= Marked_length(X)
constraint: Marked_length(cons(N,L)) >= Marked_activate(L)
constraint: Marked_length(cons(N,L)) >= Marked_U71(isNatList(activate(L)),
                                         activate(L),N)
constraint: Marked_length(cons(N,L)) >= Marked_isNatList(activate(L))
constraint: Marked_take(0,IL) >= Marked_isNatIList(IL)
constraint: Marked_take(s(M),cons(N,IL)) >= Marked_activate(IL)
constraint: Marked_take(s(M),cons(N,IL)) >= Marked_U91(isNatIList(activate(IL)),
                                             activate(IL),M,N)
constraint: Marked_take(s(M),cons(N,IL)) >= Marked_isNatIList(activate(IL))
constraint: Marked_U91(tt,IL,M,N) >= Marked_activate(N)
constraint: Marked_U91(tt,IL,M,N) >= Marked_activate(IL)
constraint: Marked_U91(tt,IL,M,N) >= Marked_activate(M)
constraint: Marked_U91(tt,IL,M,N) >= Marked_isNat(activate(M))
constraint: Marked_U91(tt,IL,M,N) >= Marked_U92(isNat(activate(M)),
                                      activate(IL),activate(M),activate(N))
constraint: Marked_isNatIList(n__cons(V1,V2)) >= Marked_activate(V2)
constraint: Marked_isNatIList(n__cons(V1,V2)) >= Marked_activate(V1)
constraint: Marked_isNatIList(n__cons(V1,V2)) >= Marked_isNat(activate(V1))
constraint: Marked_isNatIList(n__cons(V1,V2)) >= Marked_U41(isNat(activate(V1)),
                                                  activate(V2))
constraint: Marked_isNatIList(V) >= Marked_activate(V)
constraint: Marked_isNatIList(V) >= Marked_isNatList(activate(V))
constraint: Marked_U71(tt,L,N) >= Marked_activate(L)
constraint: Marked_U71(tt,L,N) >= Marked_activate(N)
constraint: Marked_U71(tt,L,N) >= Marked_isNat(activate(N))
constraint: Marked_U71(tt,L,N) >= Marked_U72(isNat(activate(N)),activate(L))
constraint: Marked_isNatList(n__take(V1,V2)) >= Marked_activate(V2)
constraint: Marked_isNatList(n__take(V1,V2)) >= Marked_activate(V1)
constraint: Marked_isNatList(n__take(V1,V2)) >= Marked_U61(isNat(activate(V1)),
                                                 activate(V2))
constraint: Marked_isNatList(n__take(V1,V2)) >= Marked_isNat(activate(V1))
constraint: Marked_isNatList(n__cons(V1,V2)) >= Marked_activate(V2)
constraint: Marked_isNatList(n__cons(V1,V2)) >= Marked_activate(V1)
constraint: Marked_isNatList(n__cons(V1,V2)) >= Marked_isNat(activate(V1))
constraint: Marked_isNatList(n__cons(V1,V2)) >= Marked_U51(isNat(activate(V1)),
                                                 activate(V2))
constraint: Marked_U61(tt,V2) >= Marked_activate(V2)
constraint: Marked_U61(tt,V2) >= Marked_isNatIList(activate(V2))
constraint: Marked_isNat(n__length(V1)) >= Marked_activate(V1)
constraint: Marked_isNat(n__length(V1)) >= Marked_isNatList(activate(V1))
constraint: Marked_isNat(n__s(V1)) >= Marked_activate(V1)
constraint: Marked_isNat(n__s(V1)) >= Marked_isNat(activate(V1))
constraint: Marked_U51(tt,V2) >= Marked_activate(V2)
constraint: Marked_U51(tt,V2) >= Marked_isNatList(activate(V2))
constraint: Marked_U41(tt,V2) >= Marked_activate(V2)
constraint: Marked_U41(tt,V2) >= Marked_isNatIList(activate(V2))
constraint: Marked_U93(tt,IL,M,N) >= Marked_activate(N)
constraint: Marked_U93(tt,IL,M,N) >= Marked_activate(IL)
constraint: Marked_U93(tt,IL,M,N) >= Marked_activate(M)
constraint: Marked_U92(tt,IL,M,N) >= Marked_activate(N)
constraint: Marked_U92(tt,IL,M,N) >= Marked_activate(IL)
constraint: Marked_U92(tt,IL,M,N) >= Marked_activate(M)
constraint: Marked_U92(tt,IL,M,N) >= Marked_isNat(activate(N))
constraint: Marked_U92(tt,IL,M,N) >= Marked_U93(isNat(activate(N)),
                                      activate(IL),activate(M),activate(N))
constraint: Marked_U72(tt,L) >= Marked_activate(L)
constraint: Marked_U72(tt,L) >= Marked_length(activate(L))
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
      --> <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)>
  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
     --> <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)>
  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
     --> <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))>
  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
     --> <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                          activate(IL),M,N)>
  <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)> 
     --> <Marked_take(0,IL) , Marked_isNatIList(IL)>
  <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_take(s(M),cons(N,IL)) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(V) , Marked_activate(V)>
  <Marked_take(s(M),cons(N,IL)) , Marked_isNatIList(activate(IL))> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_activate(N)>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_activate(M)>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_activate(IL)>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_activate(M)>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_isNat(activate(M))>
  <Marked_take(s(M),cons(N,IL)) , Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N)> 
     --> <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                                   activate(M),activate(N))>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(V) , Marked_activate(V)>
  <Marked_take(0,IL) , Marked_isNatIList(IL)> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
  <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                       activate(V2))> 
     --> <Marked_U61(tt,V2) , Marked_activate(V2)>
  <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                       activate(V2))> 
     --> <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                       activate(V2))> 
     --> <Marked_U51(tt,V2) , Marked_activate(V2)>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                       activate(V2))> 
     --> <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                        activate(V2))> 
     --> <Marked_U41(tt,V2) , Marked_activate(V2)>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                        activate(V2))> 
     --> <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))>
  <Marked_isNatIList(V) , Marked_activate(V)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_isNat(n__s(V1)) , Marked_activate(V1)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_U93(tt,IL,M,N) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U93(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U93(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U92(tt,IL,M,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_U92(tt,IL,M,N) , Marked_isNat(activate(N))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_U92(tt,IL,M,N) , Marked_U93(isNat(activate(N)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U93(tt,IL,M,N) , Marked_activate(IL)>
  <Marked_U92(tt,IL,M,N) , Marked_U93(isNat(activate(N)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U93(tt,IL,M,N) , Marked_activate(M)>
  <Marked_U92(tt,IL,M,N) , Marked_U93(isNat(activate(N)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U93(tt,IL,M,N) , Marked_activate(N)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(N)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(IL)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U91(tt,IL,M,N) , Marked_activate(M)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U91(tt,IL,M,N) , Marked_isNat(activate(M))> 
     --> <Marked_isNat(n__s(V1)) , Marked_activate(V1)>
  <Marked_U91(tt,IL,M,N) , Marked_isNat(activate(M))> 
     --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_activate(N)>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_activate(M)>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_activate(IL)>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_activate(N)>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_isNat(activate(N))>
  <Marked_U91(tt,IL,M,N) , Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N))> 
     --> <Marked_U92(tt,IL,M,N) , Marked_U93(isNat(activate(N)),activate(IL),
                                   activate(M),activate(N))>
  <Marked_U61(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_activate(V)>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
  <Marked_U51(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V2)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_activate(V1)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_U41(tt,V2) , Marked_activate(V2)> 
     --> <Marked_activate(n__take(X1,X2)) , Marked_take(X1,X2)>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V2)>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_activate(V1)>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_isNat(activate(V1))>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_activate(V)>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
}

{  <Marked_length(cons(N,L)) , Marked_U71(isNatList(activate(L)),activate(L),N)> 
      --> <Marked_U71(tt,L,N) , Marked_U72(isNat(activate(N)),activate(L))>
  <Marked_U72(tt,L) , Marked_length(activate(L))> 
     --> <Marked_length(cons(N,L)) , Marked_U71(isNatList(activate(L)),
                                      activate(L),N)>
  <Marked_U71(tt,L,N) , Marked_U72(isNat(activate(N)),activate(L))> 
     --> <Marked_U72(tt,L) , Marked_length(activate(L))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cons(X1,X2) >= n__cons(X1,X2) ;
  0 >= n__0 ;
  zeros >= cons(0,n__zeros) ;
  zeros >= n__zeros ;
  U11(tt) >= tt ;
  U21(tt) >= tt ;
  U31(tt) >= tt ;
  U42(tt) >= tt ;
  isNatIList(n__zeros) >= tt ;
  isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2)) ;
  isNatIList(V) >= U31(isNatList(activate(V))) ;
  activate(n__zeros) >= zeros ;
  activate(n__take(X1,X2)) >= take(X1,X2) ;
  activate(n__0) >= 0 ;
  activate(n__length(X)) >= length(X) ;
  activate(n__s(X)) >= s(X) ;
  activate(n__cons(X1,X2)) >= cons(X1,X2) ;
  activate(n__nil) >= nil ;
  activate(X) >= X ;
  U41(tt,V2) >= U42(isNatIList(activate(V2))) ;
  U52(tt) >= tt ;
  isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__nil) >= tt ;
  U51(tt,V2) >= U52(isNatList(activate(V2))) ;
  U62(tt) >= tt ;
  U61(tt,V2) >= U62(isNatIList(activate(V2))) ;
  U72(tt,L) >= s(length(activate(L))) ;
  isNat(n__0) >= tt ;
  isNat(n__length(V1)) >= U11(isNatList(activate(V1))) ;
  isNat(n__s(V1)) >= U21(isNat(activate(V1))) ;
  U71(tt,L,N) >= U72(isNat(activate(N)),activate(L)) ;
  s(X) >= n__s(X) ;
  length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N) ;
  length(nil) >= 0 ;
  length(X) >= n__length(X) ;
  nil >= n__nil ;
  U81(tt) >= nil ;
  U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                     activate(N)) ;
  U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                     activate(N)) ;
  U93(tt,IL,M,N) >= cons(activate(N),n__take(activate(M),activate(IL))) ;
  take(0,IL) >= U81(isNatIList(IL)) ;
  take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),M,N) ;
  take(X1,X2) >= n__take(X1,X2) ;
  Marked_activate(n__take(X1,X2)) >= Marked_take(X1,X2) ;
  Marked_take(0,IL) >= Marked_isNatIList(IL) ;
  Marked_take(s(M),cons(N,IL)) >= Marked_activate(IL) ;
  Marked_take(s(M),cons(N,IL)) >= Marked_U91(isNatIList(activate(IL)),
                                   activate(IL),M,N) ;
  Marked_take(s(M),cons(N,IL)) >= Marked_isNatIList(activate(IL)) ;
  Marked_U91(tt,IL,M,N) >= Marked_activate(N) ;
  Marked_U91(tt,IL,M,N) >= Marked_activate(IL) ;
  Marked_U91(tt,IL,M,N) >= Marked_activate(M) ;
  Marked_U91(tt,IL,M,N) >= Marked_isNat(activate(M)) ;
  Marked_U91(tt,IL,M,N) >= Marked_U92(isNat(activate(M)),activate(IL),
                            activate(M),activate(N)) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_activate(V2) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_activate(V1) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_isNat(activate(V1)) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_U41(isNat(activate(V1)),
                                        activate(V2)) ;
  Marked_isNatIList(V) >= Marked_activate(V) ;
  Marked_isNatIList(V) >= Marked_isNatList(activate(V)) ;
  Marked_isNatList(n__take(V1,V2)) >= Marked_activate(V2) ;
  Marked_isNatList(n__take(V1,V2)) >= Marked_activate(V1) ;
  Marked_isNatList(n__take(V1,V2)) >= Marked_U61(isNat(activate(V1)),
                                       activate(V2)) ;
  Marked_isNatList(n__take(V1,V2)) >= Marked_isNat(activate(V1)) ;
  Marked_isNatList(n__cons(V1,V2)) >= Marked_activate(V2) ;
  Marked_isNatList(n__cons(V1,V2)) >= Marked_activate(V1) ;
  Marked_isNatList(n__cons(V1,V2)) >= Marked_isNat(activate(V1)) ;
  Marked_isNatList(n__cons(V1,V2)) >= Marked_U51(isNat(activate(V1)),
                                       activate(V2)) ;
  Marked_U61(tt,V2) >= Marked_activate(V2) ;
  Marked_U61(tt,V2) >= Marked_isNatIList(activate(V2)) ;
  Marked_isNat(n__s(V1)) >= Marked_activate(V1) ;
  Marked_isNat(n__s(V1)) >= Marked_isNat(activate(V1)) ;
  Marked_U51(tt,V2) >= Marked_activate(V2) ;
  Marked_U51(tt,V2) >= Marked_isNatList(activate(V2)) ;
  Marked_U41(tt,V2) >= Marked_activate(V2) ;
  Marked_U41(tt,V2) >= Marked_isNatIList(activate(V2)) ;
  Marked_U93(tt,IL,M,N) >= Marked_activate(N) ;
  Marked_U93(tt,IL,M,N) >= Marked_activate(IL) ;
  Marked_U93(tt,IL,M,N) >= Marked_activate(M) ;
  Marked_U92(tt,IL,M,N) >= Marked_activate(N) ;
  Marked_U92(tt,IL,M,N) >= Marked_activate(IL) ;
  Marked_U92(tt,IL,M,N) >= Marked_activate(M) ;
  Marked_U92(tt,IL,M,N) >= Marked_isNat(activate(N)) ;
  Marked_U92(tt,IL,M,N) >= Marked_U93(isNat(activate(N)),activate(IL),
                            activate(M),activate(N)) ;
 }
 + Disjunctions:{ 
{
  Marked_activate(n__take(X1,X2)) > Marked_take(X1,X2) ;
 }
{
  Marked_take(0,IL) > Marked_isNatIList(IL) ;
 }
{
  Marked_take(s(M),cons(N,IL)) > Marked_activate(IL) ;
 }
{
  Marked_take(s(M),cons(N,IL)) > Marked_U91(isNatIList(activate(IL)),
                                  activate(IL),M,N) ;
 }
{
  Marked_take(s(M),cons(N,IL)) > Marked_isNatIList(activate(IL)) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_activate(N) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_activate(IL) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_activate(M) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_isNat(activate(M)) ;
 }
{
  Marked_U91(tt,IL,M,N) > Marked_U92(isNat(activate(M)),activate(IL),
                           activate(M),activate(N)) ;
 }
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_activate(V2) ;
 }
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_activate(V1) ;
 }
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_isNat(activate(V1)) ;
 }
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_U41(isNat(activate(V1)),
                                       activate(V2)) ;
 }
{
  Marked_isNatIList(V) > Marked_activate(V) ;
 }
{
  Marked_isNatIList(V) > Marked_isNatList(activate(V)) ;
 }
{
  Marked_isNatList(n__take(V1,V2)) > Marked_activate(V2) ;
 }
{
  Marked_isNatList(n__take(V1,V2)) > Marked_activate(V1) ;
 }
{
  Marked_isNatList(n__take(V1,V2)) > Marked_U61(isNat(activate(V1)),
                                      activate(V2)) ;
 }
{
  Marked_isNatList(n__take(V1,V2)) > Marked_isNat(activate(V1)) ;
 }
{
  Marked_isNatList(n__cons(V1,V2)) > Marked_activate(V2) ;
 }
{
  Marked_isNatList(n__cons(V1,V2)) > Marked_activate(V1) ;
 }
{
  Marked_isNatList(n__cons(V1,V2)) > Marked_isNat(activate(V1)) ;
 }
{
  Marked_isNatList(n__cons(V1,V2)) > Marked_U51(isNat(activate(V1)),
                                      activate(V2)) ;
 }
{
  Marked_U61(tt,V2) > Marked_activate(V2) ;
 }
{
  Marked_U61(tt,V2) > Marked_isNatIList(activate(V2)) ;
 }
{
  Marked_isNat(n__s(V1)) > Marked_activate(V1) ;
 }
{
  Marked_isNat(n__s(V1)) > Marked_isNat(activate(V1)) ;
 }
{
  Marked_U51(tt,V2) > Marked_activate(V2) ;
 }
{
  Marked_U51(tt,V2) > Marked_isNatList(activate(V2)) ;
 }
{
  Marked_U41(tt,V2) > Marked_activate(V2) ;
 }
{
  Marked_U41(tt,V2) > Marked_isNatIList(activate(V2)) ;
 }
{
  Marked_U93(tt,IL,M,N) > Marked_activate(N) ;
 }
{
  Marked_U93(tt,IL,M,N) > Marked_activate(IL) ;
 }
{
  Marked_U93(tt,IL,M,N) > Marked_activate(M) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_activate(N) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_activate(IL) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_activate(M) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_isNat(activate(N)) ;
 }
{
  Marked_U92(tt,IL,M,N) > Marked_U93(isNat(activate(N)),activate(IL),
                           activate(M),activate(N)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: cons(X1,X2) >= n__cons(X1,X2)
constraint: 0 >= n__0
constraint: zeros >= cons(0,n__zeros)
constraint: zeros >= n__zeros
constraint: U11(tt) >= tt
constraint: U21(tt) >= tt
constraint: U31(tt) >= tt
constraint: U42(tt) >= tt
constraint: isNatIList(n__zeros) >= tt
constraint: isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2))
constraint: isNatIList(V) >= U31(isNatList(activate(V)))
constraint: activate(n__zeros) >= zeros
constraint: activate(n__take(X1,X2)) >= take(X1,X2)
constraint: activate(n__0) >= 0
constraint: activate(n__length(X)) >= length(X)
constraint: activate(n__s(X)) >= s(X)
constraint: activate(n__cons(X1,X2)) >= cons(X1,X2)
constraint: activate(n__nil) >= nil
constraint: activate(X) >= X
constraint: U41(tt,V2) >= U42(isNatIList(activate(V2)))
constraint: U52(tt) >= tt
constraint: isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__nil) >= tt
constraint: U51(tt,V2) >= U52(isNatList(activate(V2)))
constraint: U62(tt) >= tt
constraint: U61(tt,V2) >= U62(isNatIList(activate(V2)))
constraint: U72(tt,L) >= s(length(activate(L)))
constraint: isNat(n__0) >= tt
constraint: isNat(n__length(V1)) >= U11(isNatList(activate(V1)))
constraint: isNat(n__s(V1)) >= U21(isNat(activate(V1)))
constraint: U71(tt,L,N) >= U72(isNat(activate(N)),activate(L))
constraint: s(X) >= n__s(X)
constraint: length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N)
constraint: length(nil) >= 0
constraint: length(X) >= n__length(X)
constraint: nil >= n__nil
constraint: U81(tt) >= nil
constraint: U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                               activate(N))
constraint: U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                               activate(N))
constraint: U93(tt,IL,M,N) >= cons(activate(N),
                               n__take(activate(M),activate(IL)))
constraint: take(0,IL) >= U81(isNatIList(IL))
constraint: take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),
                                      M,N)
constraint: take(X1,X2) >= n__take(X1,X2)
constraint: Marked_activate(n__take(X1,X2)) >= Marked_take(X1,X2)
constraint: Marked_take(0,IL) >= Marked_isNatIList(IL)
constraint: Marked_take(s(M),cons(N,IL)) >= Marked_activate(IL)
constraint: Marked_take(s(M),cons(N,IL)) >= Marked_U91(isNatIList(activate(IL)),
                                             activate(IL),M,N)
constraint: Marked_take(s(M),cons(N,IL)) >= Marked_isNatIList(activate(IL))
constraint: Marked_U91(tt,IL,M,N) >= Marked_activate(N)
constraint: Marked_U91(tt,IL,M,N) >= Marked_activate(IL)
constraint: Marked_U91(tt,IL,M,N) >= Marked_activate(M)
constraint: Marked_U91(tt,IL,M,N) >= Marked_isNat(activate(M))
constraint: Marked_U91(tt,IL,M,N) >= Marked_U92(isNat(activate(M)),
                                      activate(IL),activate(M),activate(N))
constraint: Marked_isNatIList(n__cons(V1,V2)) >= Marked_activate(V2)
constraint: Marked_isNatIList(n__cons(V1,V2)) >= Marked_activate(V1)
constraint: Marked_isNatIList(n__cons(V1,V2)) >= Marked_isNat(activate(V1))
constraint: Marked_isNatIList(n__cons(V1,V2)) >= Marked_U41(isNat(activate(V1)),
                                                  activate(V2))
constraint: Marked_isNatIList(V) >= Marked_activate(V)
constraint: Marked_isNatIList(V) >= Marked_isNatList(activate(V))
constraint: Marked_isNatList(n__take(V1,V2)) >= Marked_activate(V2)
constraint: Marked_isNatList(n__take(V1,V2)) >= Marked_activate(V1)
constraint: Marked_isNatList(n__take(V1,V2)) >= Marked_U61(isNat(activate(V1)),
                                                 activate(V2))
constraint: Marked_isNatList(n__take(V1,V2)) >= Marked_isNat(activate(V1))
constraint: Marked_isNatList(n__cons(V1,V2)) >= Marked_activate(V2)
constraint: Marked_isNatList(n__cons(V1,V2)) >= Marked_activate(V1)
constraint: Marked_isNatList(n__cons(V1,V2)) >= Marked_isNat(activate(V1))
constraint: Marked_isNatList(n__cons(V1,V2)) >= Marked_U51(isNat(activate(V1)),
                                                 activate(V2))
constraint: Marked_U61(tt,V2) >= Marked_activate(V2)
constraint: Marked_U61(tt,V2) >= Marked_isNatIList(activate(V2))
constraint: Marked_isNat(n__s(V1)) >= Marked_activate(V1)
constraint: Marked_isNat(n__s(V1)) >= Marked_isNat(activate(V1))
constraint: Marked_U51(tt,V2) >= Marked_activate(V2)
constraint: Marked_U51(tt,V2) >= Marked_isNatList(activate(V2))
constraint: Marked_U41(tt,V2) >= Marked_activate(V2)
constraint: Marked_U41(tt,V2) >= Marked_isNatIList(activate(V2))
constraint: Marked_U93(tt,IL,M,N) >= Marked_activate(N)
constraint: Marked_U93(tt,IL,M,N) >= Marked_activate(IL)
constraint: Marked_U93(tt,IL,M,N) >= Marked_activate(M)
constraint: Marked_U92(tt,IL,M,N) >= Marked_activate(N)
constraint: Marked_U92(tt,IL,M,N) >= Marked_activate(IL)
constraint: Marked_U92(tt,IL,M,N) >= Marked_activate(M)
constraint: Marked_U92(tt,IL,M,N) >= Marked_isNat(activate(N))
constraint: Marked_U92(tt,IL,M,N) >= Marked_U93(isNat(activate(N)),
                                      activate(IL),activate(M),activate(N))
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cons(X1,X2) >= n__cons(X1,X2) ;
  0 >= n__0 ;
  zeros >= cons(0,n__zeros) ;
  zeros >= n__zeros ;
  U11(tt) >= tt ;
  U21(tt) >= tt ;
  U31(tt) >= tt ;
  U42(tt) >= tt ;
  isNatIList(n__zeros) >= tt ;
  isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2)) ;
  isNatIList(V) >= U31(isNatList(activate(V))) ;
  activate(n__zeros) >= zeros ;
  activate(n__take(X1,X2)) >= take(X1,X2) ;
  activate(n__0) >= 0 ;
  activate(n__length(X)) >= length(X) ;
  activate(n__s(X)) >= s(X) ;
  activate(n__cons(X1,X2)) >= cons(X1,X2) ;
  activate(n__nil) >= nil ;
  activate(X) >= X ;
  U41(tt,V2) >= U42(isNatIList(activate(V2))) ;
  U52(tt) >= tt ;
  isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__nil) >= tt ;
  U51(tt,V2) >= U52(isNatList(activate(V2))) ;
  U62(tt) >= tt ;
  U61(tt,V2) >= U62(isNatIList(activate(V2))) ;
  U72(tt,L) >= s(length(activate(L))) ;
  isNat(n__0) >= tt ;
  isNat(n__length(V1)) >= U11(isNatList(activate(V1))) ;
  isNat(n__s(V1)) >= U21(isNat(activate(V1))) ;
  U71(tt,L,N) >= U72(isNat(activate(N)),activate(L)) ;
  s(X) >= n__s(X) ;
  length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N) ;
  length(nil) >= 0 ;
  length(X) >= n__length(X) ;
  nil >= n__nil ;
  U81(tt) >= nil ;
  U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                     activate(N)) ;
  U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                     activate(N)) ;
  U93(tt,IL,M,N) >= cons(activate(N),n__take(activate(M),activate(IL))) ;
  take(0,IL) >= U81(isNatIList(IL)) ;
  take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),M,N) ;
  take(X1,X2) >= n__take(X1,X2) ;
  Marked_length(cons(N,L)) >= Marked_U71(isNatList(activate(L)),activate(L),N) ;
  Marked_U71(tt,L,N) >= Marked_U72(isNat(activate(N)),activate(L)) ;
  Marked_U72(tt,L) >= Marked_length(activate(L)) ;
 }
 + Disjunctions:{ 
{
  Marked_length(cons(N,L)) > Marked_U71(isNatList(activate(L)),activate(L),N) ;
 }
{
  Marked_U71(tt,L,N) > Marked_U72(isNat(activate(N)),activate(L)) ;
 }
{
  Marked_U72(tt,L) > Marked_length(activate(L)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: cons(X1,X2) >= n__cons(X1,X2)
constraint: 0 >= n__0
constraint: zeros >= cons(0,n__zeros)
constraint: zeros >= n__zeros
constraint: U11(tt) >= tt
constraint: U21(tt) >= tt
constraint: U31(tt) >= tt
constraint: U42(tt) >= tt
constraint: isNatIList(n__zeros) >= tt
constraint: isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2))
constraint: isNatIList(V) >= U31(isNatList(activate(V)))
constraint: activate(n__zeros) >= zeros
constraint: activate(n__take(X1,X2)) >= take(X1,X2)
constraint: activate(n__0) >= 0
constraint: activate(n__length(X)) >= length(X)
constraint: activate(n__s(X)) >= s(X)
constraint: activate(n__cons(X1,X2)) >= cons(X1,X2)
constraint: activate(n__nil) >= nil
constraint: activate(X) >= X
constraint: U41(tt,V2) >= U42(isNatIList(activate(V2)))
constraint: U52(tt) >= tt
constraint: isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__nil) >= tt
constraint: U51(tt,V2) >= U52(isNatList(activate(V2)))
constraint: U62(tt) >= tt
constraint: U61(tt,V2) >= U62(isNatIList(activate(V2)))
constraint: U72(tt,L) >= s(length(activate(L)))
constraint: isNat(n__0) >= tt
constraint: isNat(n__length(V1)) >= U11(isNatList(activate(V1)))
constraint: isNat(n__s(V1)) >= U21(isNat(activate(V1)))
constraint: U71(tt,L,N) >= U72(isNat(activate(N)),activate(L))
constraint: s(X) >= n__s(X)
constraint: length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N)
constraint: length(nil) >= 0
constraint: length(X) >= n__length(X)
constraint: nil >= n__nil
constraint: U81(tt) >= nil
constraint: U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                               activate(N))
constraint: U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                               activate(N))
constraint: U93(tt,IL,M,N) >= cons(activate(N),
                               n__take(activate(M),activate(IL)))
constraint: take(0,IL) >= U81(isNatIList(IL))
constraint: take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),
                                      M,N)
constraint: take(X1,X2) >= n__take(X1,X2)
constraint: Marked_length(cons(N,L)) >= Marked_U71(isNatList(activate(L)),
                                         activate(L),N)
constraint: Marked_U71(tt,L,N) >= Marked_U72(isNat(activate(N)),activate(L))
constraint: Marked_U72(tt,L) >= Marked_length(activate(L))
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                        activate(V2))> 
      --> <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))>
  <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                       activate(V2))> 
     --> <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))>
  <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                        activate(V2))> 
     --> <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_isNatIList(V) , Marked_isNatList(activate(V))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_U61(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__take(V1,V2)) , Marked_U61(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                              activate(V2))>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(V) , Marked_isNatList(activate(V))>
}

{  <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))> 
      --> <Marked_isNat(n__s(V1)) , Marked_isNat(activate(V1))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cons(X1,X2) >= n__cons(X1,X2) ;
  0 >= n__0 ;
  zeros >= cons(0,n__zeros) ;
  zeros >= n__zeros ;
  U11(tt) >= tt ;
  U21(tt) >= tt ;
  U31(tt) >= tt ;
  U42(tt) >= tt ;
  isNatIList(n__zeros) >= tt ;
  isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2)) ;
  isNatIList(V) >= U31(isNatList(activate(V))) ;
  activate(n__zeros) >= zeros ;
  activate(n__take(X1,X2)) >= take(X1,X2) ;
  activate(n__0) >= 0 ;
  activate(n__length(X)) >= length(X) ;
  activate(n__s(X)) >= s(X) ;
  activate(n__cons(X1,X2)) >= cons(X1,X2) ;
  activate(n__nil) >= nil ;
  activate(X) >= X ;
  U41(tt,V2) >= U42(isNatIList(activate(V2))) ;
  U52(tt) >= tt ;
  isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__nil) >= tt ;
  U51(tt,V2) >= U52(isNatList(activate(V2))) ;
  U62(tt) >= tt ;
  U61(tt,V2) >= U62(isNatIList(activate(V2))) ;
  U72(tt,L) >= s(length(activate(L))) ;
  isNat(n__0) >= tt ;
  isNat(n__length(V1)) >= U11(isNatList(activate(V1))) ;
  isNat(n__s(V1)) >= U21(isNat(activate(V1))) ;
  U71(tt,L,N) >= U72(isNat(activate(N)),activate(L)) ;
  s(X) >= n__s(X) ;
  length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N) ;
  length(nil) >= 0 ;
  length(X) >= n__length(X) ;
  nil >= n__nil ;
  U81(tt) >= nil ;
  U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                     activate(N)) ;
  U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                     activate(N)) ;
  U93(tt,IL,M,N) >= cons(activate(N),n__take(activate(M),activate(IL))) ;
  take(0,IL) >= U81(isNatIList(IL)) ;
  take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),M,N) ;
  take(X1,X2) >= n__take(X1,X2) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_U41(isNat(activate(V1)),
                                        activate(V2)) ;
  Marked_isNatIList(V) >= Marked_isNatList(activate(V)) ;
  Marked_isNatList(n__take(V1,V2)) >= Marked_U61(isNat(activate(V1)),
                                       activate(V2)) ;
  Marked_isNatList(n__cons(V1,V2)) >= Marked_U51(isNat(activate(V1)),
                                       activate(V2)) ;
  Marked_U61(tt,V2) >= Marked_isNatIList(activate(V2)) ;
  Marked_U51(tt,V2) >= Marked_isNatList(activate(V2)) ;
  Marked_U41(tt,V2) >= Marked_isNatIList(activate(V2)) ;
 }
 + Disjunctions:{ 
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_U41(isNat(activate(V1)),
                                       activate(V2)) ;
 }
{
  Marked_isNatIList(V) > Marked_isNatList(activate(V)) ;
 }
{
  Marked_isNatList(n__take(V1,V2)) > Marked_U61(isNat(activate(V1)),
                                      activate(V2)) ;
 }
{
  Marked_isNatList(n__cons(V1,V2)) > Marked_U51(isNat(activate(V1)),
                                      activate(V2)) ;
 }
{
  Marked_U61(tt,V2) > Marked_isNatIList(activate(V2)) ;
 }
{
  Marked_U51(tt,V2) > Marked_isNatList(activate(V2)) ;
 }
{
  Marked_U41(tt,V2) > Marked_isNatIList(activate(V2)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: cons(X1,X2) >= n__cons(X1,X2)
constraint: 0 >= n__0
constraint: zeros >= cons(0,n__zeros)
constraint: zeros >= n__zeros
constraint: U11(tt) >= tt
constraint: U21(tt) >= tt
constraint: U31(tt) >= tt
constraint: U42(tt) >= tt
constraint: isNatIList(n__zeros) >= tt
constraint: isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2))
constraint: isNatIList(V) >= U31(isNatList(activate(V)))
constraint: activate(n__zeros) >= zeros
constraint: activate(n__take(X1,X2)) >= take(X1,X2)
constraint: activate(n__0) >= 0
constraint: activate(n__length(X)) >= length(X)
constraint: activate(n__s(X)) >= s(X)
constraint: activate(n__cons(X1,X2)) >= cons(X1,X2)
constraint: activate(n__nil) >= nil
constraint: activate(X) >= X
constraint: U41(tt,V2) >= U42(isNatIList(activate(V2)))
constraint: U52(tt) >= tt
constraint: isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__nil) >= tt
constraint: U51(tt,V2) >= U52(isNatList(activate(V2)))
constraint: U62(tt) >= tt
constraint: U61(tt,V2) >= U62(isNatIList(activate(V2)))
constraint: U72(tt,L) >= s(length(activate(L)))
constraint: isNat(n__0) >= tt
constraint: isNat(n__length(V1)) >= U11(isNatList(activate(V1)))
constraint: isNat(n__s(V1)) >= U21(isNat(activate(V1)))
constraint: U71(tt,L,N) >= U72(isNat(activate(N)),activate(L))
constraint: s(X) >= n__s(X)
constraint: length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N)
constraint: length(nil) >= 0
constraint: length(X) >= n__length(X)
constraint: nil >= n__nil
constraint: U81(tt) >= nil
constraint: U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                               activate(N))
constraint: U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                               activate(N))
constraint: U93(tt,IL,M,N) >= cons(activate(N),
                               n__take(activate(M),activate(IL)))
constraint: take(0,IL) >= U81(isNatIList(IL))
constraint: take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),
                                      M,N)
constraint: take(X1,X2) >= n__take(X1,X2)
constraint: Marked_isNatIList(n__cons(V1,V2)) >= Marked_U41(isNat(activate(V1)),
                                                  activate(V2))
constraint: Marked_isNatIList(V) >= Marked_isNatList(activate(V))
constraint: Marked_isNatList(n__take(V1,V2)) >= Marked_U61(isNat(activate(V1)),
                                                 activate(V2))
constraint: Marked_isNatList(n__cons(V1,V2)) >= Marked_U51(isNat(activate(V1)),
                                                 activate(V2))
constraint: Marked_U61(tt,V2) >= Marked_isNatIList(activate(V2))
constraint: Marked_U51(tt,V2) >= Marked_isNatList(activate(V2))
constraint: Marked_U41(tt,V2) >= Marked_isNatIList(activate(V2))
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cons(X1,X2) >= n__cons(X1,X2) ;
  0 >= n__0 ;
  zeros >= cons(0,n__zeros) ;
  zeros >= n__zeros ;
  U11(tt) >= tt ;
  U21(tt) >= tt ;
  U31(tt) >= tt ;
  U42(tt) >= tt ;
  isNatIList(n__zeros) >= tt ;
  isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2)) ;
  isNatIList(V) >= U31(isNatList(activate(V))) ;
  activate(n__zeros) >= zeros ;
  activate(n__take(X1,X2)) >= take(X1,X2) ;
  activate(n__0) >= 0 ;
  activate(n__length(X)) >= length(X) ;
  activate(n__s(X)) >= s(X) ;
  activate(n__cons(X1,X2)) >= cons(X1,X2) ;
  activate(n__nil) >= nil ;
  activate(X) >= X ;
  U41(tt,V2) >= U42(isNatIList(activate(V2))) ;
  U52(tt) >= tt ;
  isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__nil) >= tt ;
  U51(tt,V2) >= U52(isNatList(activate(V2))) ;
  U62(tt) >= tt ;
  U61(tt,V2) >= U62(isNatIList(activate(V2))) ;
  U72(tt,L) >= s(length(activate(L))) ;
  isNat(n__0) >= tt ;
  isNat(n__length(V1)) >= U11(isNatList(activate(V1))) ;
  isNat(n__s(V1)) >= U21(isNat(activate(V1))) ;
  U71(tt,L,N) >= U72(isNat(activate(N)),activate(L)) ;
  s(X) >= n__s(X) ;
  length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N) ;
  length(nil) >= 0 ;
  length(X) >= n__length(X) ;
  nil >= n__nil ;
  U81(tt) >= nil ;
  U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                     activate(N)) ;
  U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                     activate(N)) ;
  U93(tt,IL,M,N) >= cons(activate(N),n__take(activate(M),activate(IL))) ;
  take(0,IL) >= U81(isNatIList(IL)) ;
  take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),M,N) ;
  take(X1,X2) >= n__take(X1,X2) ;
  Marked_isNat(n__s(V1)) >= Marked_isNat(activate(V1)) ;
 }
 + Disjunctions:{ 
{
  Marked_isNat(n__s(V1)) > Marked_isNat(activate(V1)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
Time out for these parameters.
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: cons(X1,X2) >= n__cons(X1,X2)
constraint: 0 >= n__0
constraint: zeros >= cons(0,n__zeros)
constraint: zeros >= n__zeros
constraint: U11(tt) >= tt
constraint: U21(tt) >= tt
constraint: U31(tt) >= tt
constraint: U42(tt) >= tt
constraint: isNatIList(n__zeros) >= tt
constraint: isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2))
constraint: isNatIList(V) >= U31(isNatList(activate(V)))
constraint: activate(n__zeros) >= zeros
constraint: activate(n__take(X1,X2)) >= take(X1,X2)
constraint: activate(n__0) >= 0
constraint: activate(n__length(X)) >= length(X)
constraint: activate(n__s(X)) >= s(X)
constraint: activate(n__cons(X1,X2)) >= cons(X1,X2)
constraint: activate(n__nil) >= nil
constraint: activate(X) >= X
constraint: U41(tt,V2) >= U42(isNatIList(activate(V2)))
constraint: U52(tt) >= tt
constraint: isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2))
constraint: isNatList(n__nil) >= tt
constraint: U51(tt,V2) >= U52(isNatList(activate(V2)))
constraint: U62(tt) >= tt
constraint: U61(tt,V2) >= U62(isNatIList(activate(V2)))
constraint: U72(tt,L) >= s(length(activate(L)))
constraint: isNat(n__0) >= tt
constraint: isNat(n__length(V1)) >= U11(isNatList(activate(V1)))
constraint: isNat(n__s(V1)) >= U21(isNat(activate(V1)))
constraint: U71(tt,L,N) >= U72(isNat(activate(N)),activate(L))
constraint: s(X) >= n__s(X)
constraint: length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N)
constraint: length(nil) >= 0
constraint: length(X) >= n__length(X)
constraint: nil >= n__nil
constraint: U81(tt) >= nil
constraint: U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                               activate(N))
constraint: U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                               activate(N))
constraint: U93(tt,IL,M,N) >= cons(activate(N),
                               n__take(activate(M),activate(IL)))
constraint: take(0,IL) >= U81(isNatIList(IL))
constraint: take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),
                                      M,N)
constraint: take(X1,X2) >= n__take(X1,X2)
constraint: Marked_isNat(n__s(V1)) >= Marked_isNat(activate(V1))
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                         activate(V2))> 
      --> <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))>
  <Marked_U41(tt,V2) , Marked_isNatIList(activate(V2))> 
     --> <Marked_isNatIList(n__cons(V1,V2)) , Marked_U41(isNat(activate(V1)),
                                               activate(V2))>
}

{  <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                        activate(V2))> 
      --> <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))>
  <Marked_U51(tt,V2) , Marked_isNatList(activate(V2))> 
     --> <Marked_isNatList(n__cons(V1,V2)) , Marked_U51(isNat(activate(V1)),
                                              activate(V2))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cons(X1,X2) >= n__cons(X1,X2) ;
  0 >= n__0 ;
  zeros >= cons(0,n__zeros) ;
  zeros >= n__zeros ;
  U11(tt) >= tt ;
  U21(tt) >= tt ;
  U31(tt) >= tt ;
  U42(tt) >= tt ;
  isNatIList(n__zeros) >= tt ;
  isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2)) ;
  isNatIList(V) >= U31(isNatList(activate(V))) ;
  activate(n__zeros) >= zeros ;
  activate(n__take(X1,X2)) >= take(X1,X2) ;
  activate(n__0) >= 0 ;
  activate(n__length(X)) >= length(X) ;
  activate(n__s(X)) >= s(X) ;
  activate(n__cons(X1,X2)) >= cons(X1,X2) ;
  activate(n__nil) >= nil ;
  activate(X) >= X ;
  U41(tt,V2) >= U42(isNatIList(activate(V2))) ;
  U52(tt) >= tt ;
  isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__nil) >= tt ;
  U51(tt,V2) >= U52(isNatList(activate(V2))) ;
  U62(tt) >= tt ;
  U61(tt,V2) >= U62(isNatIList(activate(V2))) ;
  U72(tt,L) >= s(length(activate(L))) ;
  isNat(n__0) >= tt ;
  isNat(n__length(V1)) >= U11(isNatList(activate(V1))) ;
  isNat(n__s(V1)) >= U21(isNat(activate(V1))) ;
  U71(tt,L,N) >= U72(isNat(activate(N)),activate(L)) ;
  s(X) >= n__s(X) ;
  length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N) ;
  length(nil) >= 0 ;
  length(X) >= n__length(X) ;
  nil >= n__nil ;
  U81(tt) >= nil ;
  U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                     activate(N)) ;
  U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                     activate(N)) ;
  U93(tt,IL,M,N) >= cons(activate(N),n__take(activate(M),activate(IL))) ;
  take(0,IL) >= U81(isNatIList(IL)) ;
  take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),M,N) ;
  take(X1,X2) >= n__take(X1,X2) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_U41(isNat(activate(V1)),
                                        activate(V2)) ;
  Marked_U41(tt,V2) >= Marked_isNatIList(activate(V2)) ;
 }
 + Disjunctions:{ 
{
  Marked_isNatIList(n__cons(V1,V2)) > Marked_U41(isNat(activate(V1)),
                                       activate(V2)) ;
 }
{
  Marked_U41(tt,V2) > Marked_isNatIList(activate(V2)) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
Time out for these parameters.
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (Simple graph)
Found the following constraints:
{
  cons(X1,X2) >= n__cons(X1,X2) ;
  0 >= n__0 ;
  zeros >= cons(0,n__zeros) ;
  zeros >= n__zeros ;
  U11(tt) >= tt ;
  U21(tt) >= tt ;
  U31(tt) >= tt ;
  U42(tt) >= tt ;
  isNatIList(n__zeros) >= tt ;
  isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2)) ;
  isNatIList(V) >= U31(isNatList(activate(V))) ;
  activate(n__zeros) >= zeros ;
  activate(n__take(X1,X2)) >= take(X1,X2) ;
  activate(n__0) >= 0 ;
  activate(n__length(X)) >= length(X) ;
  activate(n__s(X)) >= s(X) ;
  activate(n__cons(X1,X2)) >= cons(X1,X2) ;
  activate(n__nil) >= nil ;
  activate(X) >= X ;
  U41(tt,V2) >= U42(isNatIList(activate(V2))) ;
  U52(tt) >= tt ;
  isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__nil) >= tt ;
  U51(tt,V2) >= U52(isNatList(activate(V2))) ;
  U62(tt) >= tt ;
  U61(tt,V2) >= U62(isNatIList(activate(V2))) ;
  U72(tt,L) >= s(length(activate(L))) ;
  isNat(n__0) >= tt ;
  isNat(n__length(V1)) >= U11(isNatList(activate(V1))) ;
  isNat(n__s(V1)) >= U21(isNat(activate(V1))) ;
  U71(tt,L,N) >= U72(isNat(activate(N)),activate(L)) ;
  s(X) >= n__s(X) ;
  length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N) ;
  length(nil) >= 0 ;
  length(X) >= n__length(X) ;
  nil >= n__nil ;
  U81(tt) >= nil ;
  U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                     activate(N)) ;
  U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                     activate(N)) ;
  U93(tt,IL,M,N) >= cons(activate(N),n__take(activate(M),activate(IL))) ;
  take(0,IL) >= U81(isNatIList(IL)) ;
  take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),M,N) ;
  take(X1,X2) >= n__take(X1,X2) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_U41(isNat(activate(V1)),
                                        activate(V2)) ;
  Marked_U41(tt,V2) > Marked_isNatIList(activate(V2)) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  cons(X1,X2) >= n__cons(X1,X2) ;
  0 >= n__0 ;
  zeros >= cons(0,n__zeros) ;
  zeros >= n__zeros ;
  U11(tt) >= tt ;
  U21(tt) >= tt ;
  U31(tt) >= tt ;
  U42(tt) >= tt ;
  isNatIList(n__zeros) >= tt ;
  isNatIList(n__cons(V1,V2)) >= U41(isNat(activate(V1)),activate(V2)) ;
  isNatIList(V) >= U31(isNatList(activate(V))) ;
  activate(n__zeros) >= zeros ;
  activate(n__take(X1,X2)) >= take(X1,X2) ;
  activate(n__0) >= 0 ;
  activate(n__length(X)) >= length(X) ;
  activate(n__s(X)) >= s(X) ;
  activate(n__cons(X1,X2)) >= cons(X1,X2) ;
  activate(n__nil) >= nil ;
  activate(X) >= X ;
  U41(tt,V2) >= U42(isNatIList(activate(V2))) ;
  U52(tt) >= tt ;
  isNatList(n__take(V1,V2)) >= U61(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__cons(V1,V2)) >= U51(isNat(activate(V1)),activate(V2)) ;
  isNatList(n__nil) >= tt ;
  U51(tt,V2) >= U52(isNatList(activate(V2))) ;
  U62(tt) >= tt ;
  U61(tt,V2) >= U62(isNatIList(activate(V2))) ;
  U72(tt,L) >= s(length(activate(L))) ;
  isNat(n__0) >= tt ;
  isNat(n__length(V1)) >= U11(isNatList(activate(V1))) ;
  isNat(n__s(V1)) >= U21(isNat(activate(V1))) ;
  U71(tt,L,N) >= U72(isNat(activate(N)),activate(L)) ;
  s(X) >= n__s(X) ;
  length(cons(N,L)) >= U71(isNatList(activate(L)),activate(L),N) ;
  length(nil) >= 0 ;
  length(X) >= n__length(X) ;
  nil >= n__nil ;
  U81(tt) >= nil ;
  U92(tt,IL,M,N) >= U93(isNat(activate(N)),activate(IL),activate(M),
                     activate(N)) ;
  U91(tt,IL,M,N) >= U92(isNat(activate(M)),activate(IL),activate(M),
                     activate(N)) ;
  U93(tt,IL,M,N) >= cons(activate(N),n__take(activate(M),activate(IL))) ;
  take(0,IL) >= U81(isNatIList(IL)) ;
  take(s(M),cons(N,IL)) >= U91(isNatIList(activate(IL)),activate(IL),M,N) ;
  take(X1,X2) >= n__take(X1,X2) ;
  Marked_isNatIList(n__cons(V1,V2)) >= Marked_U41(isNat(activate(V1)),
                                        activate(V2)) ;
  Marked_U41(tt,V2) > Marked_isNatIList(activate(V2)) ;
 }
 + Disjunctions:{ 
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
Time out for these parameters.
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (ID_CRIT)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
NOT SOLVED
No proof found
Cime worked for 88.820276 seconds (real time)
Cime Exit Status: 0