(VAR V2 L N IL M V1 V X1 X2 X3 X4 X)
(RULES 
a__zeros -> cons(0,zeros)
a__U11(tt) -> tt
a__U21(tt) -> tt
a__U31(tt) -> tt
a__U41(tt,V2) -> a__U42(a__isNatIList(V2))
a__U42(tt) -> tt
a__U51(tt,V2) -> a__U52(a__isNatList(V2))
a__U52(tt) -> tt
a__U61(tt,V2) -> a__U62(a__isNatIList(V2))
a__U62(tt) -> tt
a__U71(tt,L,N) -> a__U72(a__isNat(N),L)
a__U72(tt,L) -> s(a__length(mark(L)))
a__U81(tt) -> nil
a__U91(tt,IL,M,N) -> a__U92(a__isNat(M),IL,M,N)
a__U92(tt,IL,M,N) -> a__U93(a__isNat(N),IL,M,N)
a__U93(tt,IL,M,N) -> cons(mark(N),take(M,IL))
a__isNat(0) -> tt
a__isNat(length(V1)) -> a__U11(a__isNatList(V1))
a__isNat(s(V1)) -> a__U21(a__isNat(V1))
a__isNatIList(V) -> a__U31(a__isNatList(V))
a__isNatIList(zeros) -> tt
a__isNatIList(cons(V1,V2)) -> a__U41(a__isNat(V1),V2)
a__isNatList(nil) -> tt
a__isNatList(cons(V1,V2)) -> a__U51(a__isNat(V1),V2)
a__isNatList(take(V1,V2)) -> a__U61(a__isNat(V1),V2)
a__length(nil) -> 0
a__length(cons(N,L)) -> a__U71(a__isNatList(L),L,N)
a__take(0,IL) -> a__U81(a__isNatIList(IL))
a__take(s(M),cons(N,IL)) -> a__U91(a__isNatIList(IL),IL,M,N)
mark(zeros) -> a__zeros
mark(U11(X)) -> a__U11(mark(X))
mark(U21(X)) -> a__U21(mark(X))
mark(U31(X)) -> a__U31(mark(X))
mark(U41(X1,X2)) -> a__U41(mark(X1),X2)
mark(U42(X)) -> a__U42(mark(X))
mark(isNatIList(X)) -> a__isNatIList(X)
mark(U51(X1,X2)) -> a__U51(mark(X1),X2)
mark(U52(X)) -> a__U52(mark(X))
mark(isNatList(X)) -> a__isNatList(X)
mark(U61(X1,X2)) -> a__U61(mark(X1),X2)
mark(U62(X)) -> a__U62(mark(X))
mark(U71(X1,X2,X3)) -> a__U71(mark(X1),X2,X3)
mark(U72(X1,X2)) -> a__U72(mark(X1),X2)
mark(isNat(X)) -> a__isNat(X)
mark(length(X)) -> a__length(mark(X))
mark(U81(X)) -> a__U81(mark(X))
mark(U91(X1,X2,X3,X4)) -> a__U91(mark(X1),X2,X3,X4)
mark(U92(X1,X2,X3,X4)) -> a__U92(mark(X1),X2,X3,X4)
mark(U93(X1,X2,X3,X4)) -> a__U93(mark(X1),X2,X3,X4)
mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(0) -> 0
mark(tt) -> tt
mark(s(X)) -> s(mark(X))
mark(nil) -> nil
a__zeros -> zeros
a__U11(X) -> U11(X)
a__U21(X) -> U21(X)
a__U31(X) -> U31(X)
a__U41(X1,X2) -> U41(X1,X2)
a__U42(X) -> U42(X)
a__isNatIList(X) -> isNatIList(X)
a__U51(X1,X2) -> U51(X1,X2)
a__U52(X) -> U52(X)
a__isNatList(X) -> isNatList(X)
a__U61(X1,X2) -> U61(X1,X2)
a__U62(X) -> U62(X)
a__U71(X1,X2,X3) -> U71(X1,X2,X3)
a__U72(X1,X2) -> U72(X1,X2)
a__isNat(X) -> isNat(X)
a__length(X) -> length(X)
a__U81(X) -> U81(X)
a__U91(X1,X2,X3,X4) -> U91(X1,X2,X3,X4)
a__U92(X1,X2,X3,X4) -> U92(X1,X2,X3,X4)
a__U93(X1,X2,X3,X4) -> U93(X1,X2,X3,X4)
a__take(X1,X2) -> take(X1,X2)
)