NO
0.08/0.19	NO
0.08/0.19	
0.08/0.19	Problem:
0.08/0.19	 U104(tt()) -> plus(x(N,M),N)
0.08/0.19	 U72(tt()) -> N
0.08/0.19	 U84(tt()) -> s(plus(N,M))
0.08/0.19	 U101(tt()) -> U102(isNatKind())
0.08/0.19	 U102(tt()) -> U103(isNat())
0.08/0.19	 U103(tt()) -> U104(isNatKind())
0.08/0.19	 U11(tt()) -> U12(isNatKind())
0.08/0.19	 U12(tt()) -> U13(isNatKind())
0.08/0.19	 U13(tt()) -> U14(isNatKind())
0.08/0.19	 U14(tt()) -> U15(isNat())
0.08/0.19	 U15(tt()) -> U16(isNat())
0.08/0.19	 U16(tt()) -> tt()
0.08/0.19	 U21(tt()) -> U22(isNatKind())
0.08/0.19	 U22(tt()) -> U23(isNat())
0.08/0.19	 U23(tt()) -> tt()
0.08/0.19	 U31(tt()) -> U32(isNatKind())
0.08/0.19	 U32(tt()) -> U33(isNatKind())
0.08/0.19	 U33(tt()) -> U34(isNatKind())
0.08/0.19	 U34(tt()) -> U35(isNat())
0.08/0.19	 U35(tt()) -> U36(isNat())
0.08/0.19	 U36(tt()) -> tt()
0.08/0.19	 U41(tt()) -> U42(isNatKind())
0.08/0.19	 U42(tt()) -> tt()
0.08/0.19	 U51(tt()) -> tt()
0.08/0.19	 U61(tt()) -> U62(isNatKind())
0.08/0.19	 U62(tt()) -> tt()
0.08/0.19	 U71(tt()) -> U72(isNatKind())
0.08/0.19	 U81(tt()) -> U82(isNatKind())
0.08/0.19	 U82(tt()) -> U83(isNat())
0.08/0.19	 U83(tt()) -> U84(isNatKind())
0.08/0.19	 U91(tt()) -> U92(isNatKind())
0.08/0.19	 U92(tt()) -> 0()
0.08/0.19	 isNat() -> tt()
0.08/0.19	 isNat() -> U11(isNatKind())
0.08/0.19	 isNat() -> U21(isNatKind())
0.08/0.19	 isNat() -> U31(isNatKind())
0.08/0.19	 isNatKind() -> tt()
0.08/0.19	 isNatKind() -> U41(isNatKind())
0.08/0.19	 isNatKind() -> U51(isNatKind())
0.08/0.19	 isNatKind() -> U61(isNatKind())
0.08/0.19	 plus(N,0()) -> U71(isNat())
0.08/0.19	 plus(N,s(M)) -> U81(isNat())
0.08/0.19	 x(N,0()) -> U91(isNat())
0.08/0.19	 x(N,s(M)) -> U101(isNat())
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	   U104(tt())
0.08/0.19	  context: plus(x([],M),U104(tt()))
0.08/0.19	  substitution:
0.08/0.19	   N -> U104(tt())
0.08/0.19	  Qed
0.17/0.20	EOF