NO
0.08/0.18	NO
0.08/0.18	
0.08/0.18	Problem:
0.08/0.18	 U61(tt()) -> s(length(L))
0.08/0.18	 and(tt()) -> X
0.08/0.18	 zeros() -> cons(0())
0.08/0.18	 U11(tt()) -> U12(isNatList())
0.08/0.18	 U12(tt()) -> tt()
0.08/0.18	 U21(tt()) -> U22(isNat())
0.08/0.18	 U22(tt()) -> tt()
0.08/0.18	 U31(tt()) -> U32(isNatList())
0.08/0.18	 U32(tt()) -> tt()
0.08/0.18	 U41(tt()) -> U42(isNat())
0.08/0.18	 U42(tt()) -> U43(isNatIList())
0.08/0.18	 U43(tt()) -> tt()
0.08/0.18	 U51(tt()) -> U52(isNat())
0.08/0.18	 U52(tt()) -> U53(isNatList())
0.08/0.18	 U53(tt()) -> tt()
0.08/0.18	 isNat() -> tt()
0.08/0.18	 isNat() -> U11(isNatIListKind())
0.08/0.18	 isNat() -> U21(isNatKind())
0.08/0.18	 isNatIList() -> U31(isNatIListKind())
0.08/0.18	 isNatIList() -> tt()
0.08/0.18	 isNatIList() -> U41(and(isNatKind()))
0.08/0.18	 isNatIListKind() -> tt()
0.08/0.18	 isNatIListKind() -> and(isNatKind())
0.08/0.18	 isNatKind() -> tt()
0.08/0.18	 isNatKind() -> isNatIListKind()
0.08/0.18	 isNatKind() -> isNatKind()
0.08/0.18	 isNatList() -> tt()
0.08/0.18	 isNatList() -> U51(and(isNatKind()))
0.08/0.18	 length(nil()) -> 0()
0.08/0.18	 length(cons(N)) -> U61(and(and(isNatList())))
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	   U61(tt())
0.08/0.18	  context: s(length([]))
0.08/0.18	  substitution:
0.08/0.18	   L -> U61(tt())
0.08/0.18	  Qed
0.08/0.19	EOF