NO
0.18/0.20	NO
0.18/0.20	
0.18/0.20	Problem:
0.18/0.20	 U114(tt()) -> s(length(L))
0.18/0.20	 U136(tt()) -> cons(N)
0.18/0.20	 zeros() -> cons(0())
0.18/0.20	 U101(tt()) -> U102(isNatKind())
0.18/0.20	 U102(tt()) -> U103(isNatIListKind())
0.18/0.20	 U103(tt()) -> U104(isNatIListKind())
0.18/0.20	 U104(tt()) -> U105(isNat())
0.18/0.20	 U105(tt()) -> U106(isNatIList())
0.18/0.20	 U106(tt()) -> tt()
0.18/0.20	 U11(tt()) -> U12(isNatIListKind())
0.18/0.20	 U111(tt()) -> U112(isNatIListKind())
0.18/0.20	 U112(tt()) -> U113(isNat())
0.18/0.20	 U113(tt()) -> U114(isNatKind())
0.18/0.20	 U12(tt()) -> U13(isNatList())
0.18/0.20	 U121(tt()) -> U122(isNatIListKind())
0.18/0.20	 U122(tt()) -> nil()
0.18/0.20	 U13(tt()) -> tt()
0.18/0.20	 U131(tt()) -> U132(isNatIListKind())
0.18/0.20	 U132(tt()) -> U133(isNat())
0.18/0.20	 U133(tt()) -> U134(isNatKind())
0.18/0.20	 U134(tt()) -> U135(isNat())
0.18/0.20	 U135(tt()) -> U136(isNatKind())
0.18/0.20	 U21(tt()) -> U22(isNatKind())
0.18/0.20	 U22(tt()) -> U23(isNat())
0.18/0.20	 U23(tt()) -> tt()
0.18/0.20	 U31(tt()) -> U32(isNatIListKind())
0.18/0.20	 U32(tt()) -> U33(isNatList())
0.18/0.20	 U33(tt()) -> tt()
0.18/0.20	 U41(tt()) -> U42(isNatKind())
0.18/0.20	 U42(tt()) -> U43(isNatIListKind())
0.18/0.20	 U43(tt()) -> U44(isNatIListKind())
0.18/0.20	 U44(tt()) -> U45(isNat())
0.18/0.20	 U45(tt()) -> U46(isNatIList())
0.18/0.20	 U46(tt()) -> tt()
0.18/0.20	 U51(tt()) -> U52(isNatIListKind())
0.18/0.20	 U52(tt()) -> tt()
0.18/0.20	 U61(tt()) -> U62(isNatIListKind())
0.18/0.20	 U62(tt()) -> tt()
0.18/0.20	 U71(tt()) -> tt()
0.18/0.20	 U81(tt()) -> tt()
0.18/0.20	 U91(tt()) -> U92(isNatKind())
0.18/0.20	 U92(tt()) -> U93(isNatIListKind())
0.18/0.20	 U93(tt()) -> U94(isNatIListKind())
0.18/0.20	 U94(tt()) -> U95(isNat())
0.18/0.20	 U95(tt()) -> U96(isNatList())
0.18/0.20	 U96(tt()) -> tt()
0.18/0.20	 isNat() -> tt()
0.18/0.20	 isNat() -> U11(isNatIListKind())
0.18/0.20	 isNat() -> U21(isNatKind())
0.18/0.20	 isNatIList() -> U31(isNatIListKind())
0.18/0.20	 isNatIList() -> tt()
0.18/0.20	 isNatIList() -> U41(isNatKind())
0.18/0.20	 isNatIListKind() -> tt()
0.18/0.20	 isNatIListKind() -> U51(isNatKind())
0.18/0.20	 isNatIListKind() -> U61(isNatKind())
0.18/0.20	 isNatKind() -> tt()
0.18/0.20	 isNatKind() -> U71(isNatIListKind())
0.18/0.20	 isNatKind() -> U81(isNatKind())
0.18/0.20	 isNatList() -> tt()
0.18/0.20	 isNatList() -> U91(isNatKind())
0.18/0.20	 isNatList() -> U101(isNatKind())
0.18/0.20	 length(nil()) -> 0()
0.18/0.20	 length(cons(N)) -> U111(isNatList())
0.18/0.20	 take(0(),IL) -> U121(isNatIList())
0.18/0.20	 take(s(M),cons(N)) -> U131(isNatIList())
0.18/0.20	
0.18/0.20	Proof:
0.18/0.20	 Fresh Variable Processor:
0.18/0.20	  loop length: 1
0.18/0.20	  terms:
0.18/0.20	   U114(tt())
0.18/0.20	  context: s(length([]))
0.18/0.20	  substitution:
0.18/0.20	   L -> U114(tt())
0.18/0.20	  Qed
0.18/0.21	EOF