NO
0.09/0.17	NO
0.09/0.17	
0.09/0.17	Problem:
0.09/0.17	 U11(tt()) -> N
0.09/0.17	 U21(tt()) -> s(plus(N,M))
0.09/0.17	 U41(tt()) -> plus(x(N,M),N)
0.09/0.17	 and(tt()) -> X
0.09/0.17	 U31(tt()) -> 0()
0.09/0.17	 isNat() -> tt()
0.09/0.17	 isNat() -> and(isNat())
0.09/0.17	 isNat() -> isNat()
0.09/0.17	 plus(N,0()) -> U11(isNat())
0.09/0.17	 plus(N,s(M)) -> U21(and(isNat()))
0.09/0.17	 x(N,0()) -> U31(isNat())
0.09/0.17	 x(N,s(M)) -> U41(and(isNat()))
0.09/0.17	
0.09/0.17	Proof:
0.09/0.17	 Fresh Variable Processor: loop length: 1
0.09/0.17	                           terms:
0.09/0.17	                            U11(tt())
0.09/0.17	                           context: []
0.09/0.17	                           substitution:
0.09/0.17	                            N -> U11(tt())
0.09/0.17	  Qed
0.09/0.17	EOF