NO
0.08/0.18	NO
0.08/0.18	
0.08/0.18	Problem:
0.08/0.18	 if(true()) -> X
0.08/0.18	 if(false()) -> Y
0.08/0.18	 fact(X) -> if(zero(X))
0.08/0.18	 add(0(),X) -> X
0.08/0.18	 add(s(X),Y) -> s(add(X,Y))
0.08/0.18	 prod(0(),X) -> 0()
0.08/0.18	 prod(s(X),Y) -> add(Y,prod(X,Y))
0.08/0.18	 zero(0()) -> true()
0.08/0.18	 zero(s(X)) -> false()
0.08/0.18	 p(s(X)) -> X
0.08/0.18	
0.08/0.18	Proof:
0.08/0.18	 Fresh Variable Processor: loop length: 1
0.08/0.18	                           terms:
0.08/0.18	                            if(true())
0.08/0.18	                           context: []
0.08/0.18	                           substitution:
0.08/0.18	                            X -> if(true())
0.08/0.18	  Qed
0.08/0.18	EOF