NO
0.08/0.18	NO
0.08/0.19	
0.08/0.19	Problem:
0.08/0.19	 U72(tt()) -> s(length(L))
0.08/0.19	 U93(tt()) -> cons(N)
0.08/0.19	 zeros() -> cons(0())
0.08/0.19	 U11(tt()) -> tt()
0.08/0.19	 U21(tt()) -> tt()
0.08/0.19	 U31(tt()) -> tt()
0.08/0.19	 U41(tt()) -> U42(isNatIList())
0.08/0.19	 U42(tt()) -> tt()
0.08/0.19	 U51(tt()) -> U52(isNatList())
0.08/0.19	 U52(tt()) -> tt()
0.08/0.19	 U61(tt()) -> U62(isNatIList())
0.08/0.19	 U62(tt()) -> tt()
0.08/0.19	 U71(tt()) -> U72(isNat())
0.08/0.19	 U81(tt()) -> nil()
0.08/0.19	 U91(tt()) -> U92(isNat())
0.08/0.19	 U92(tt()) -> U93(isNat())
0.08/0.19	 isNat() -> tt()
0.08/0.19	 isNat() -> U11(isNatList())
0.08/0.19	 isNat() -> U21(isNat())
0.08/0.19	 isNatIList() -> U31(isNatList())
0.08/0.19	 isNatIList() -> tt()
0.08/0.19	 isNatIList() -> U41(isNat())
0.08/0.19	 isNatList() -> tt()
0.08/0.19	 isNatList() -> U51(isNat())
0.08/0.19	 isNatList() -> U61(isNat())
0.08/0.19	 length(nil()) -> 0()
0.08/0.19	 length(cons(N)) -> U71(isNatList())
0.08/0.19	 take(0(),IL) -> U81(isNatIList())
0.08/0.19	 take(s(M),cons(N)) -> U91(isNatIList())
0.08/0.19	
0.08/0.19	Proof:
0.08/0.19	 Fresh Variable Processor:
0.08/0.19	  loop length: 1
0.08/0.19	  terms:
0.08/0.19	   U72(tt())
0.08/0.19	  context: s(length([]))
0.08/0.19	  substitution:
0.08/0.19	   L -> U72(tt())
0.08/0.19	  Qed
0.08/0.19	EOF