NO
0.08/0.18	NO
0.08/0.18	
0.08/0.18	Problem:
0.08/0.18	 U11(tt()) -> s(length(L))
0.08/0.18	 U31(tt()) -> cons(N)
0.08/0.18	 and(tt()) -> X
0.08/0.18	 zeros() -> cons(0())
0.08/0.18	 U21(tt()) -> nil()
0.08/0.18	 isNat() -> tt()
0.08/0.18	 isNat() -> isNatList()
0.08/0.18	 isNat() -> isNat()
0.08/0.18	 isNatIList() -> isNatList()
0.08/0.18	 isNatIList() -> tt()
0.08/0.18	 isNatIList() -> and(isNat())
0.08/0.18	 isNatList() -> tt()
0.08/0.18	 isNatList() -> and(isNat())
0.08/0.18	 length(nil()) -> 0()
0.08/0.18	 length(cons(N)) -> U11(and(isNatList()))
0.08/0.18	 take(0(),IL) -> U21(isNatIList())
0.08/0.18	 take(s(M),cons(N)) -> U31(and(isNatIList()))
0.08/0.18	
0.08/0.18	Proof:
0.08/0.18	 Fresh Variable Processor:
0.08/0.18	  loop length: 1
0.08/0.18	  terms:
0.08/0.18	   U11(tt())
0.08/0.18	  context: s(length([]))
0.08/0.18	  substitution:
0.08/0.18	   L -> U11(tt())
0.08/0.18	  Qed
0.08/0.18	EOF