NO
0.08/0.18	NO
0.08/0.18	
0.08/0.18	Problem:
0.08/0.18	 splitAt(s(N),cons(X)) -> u(splitAt(N,XS))
0.08/0.18	 u(pair(YS,ZS)) -> pair(cons(X),ZS)
0.08/0.18	 tail(cons(N)) -> XS
0.08/0.18	 natsFrom(N) -> cons(N)
0.08/0.18	 fst(pair(XS,YS)) -> XS
0.08/0.18	 snd(pair(XS,YS)) -> YS
0.08/0.18	 splitAt(0(),XS) -> pair(nil(),XS)
0.08/0.18	 head(cons(N)) -> N
0.08/0.18	 sel(N,XS) -> head(afterNth(N,XS))
0.08/0.18	 take(N,XS) -> fst(splitAt(N,XS))
0.08/0.18	 afterNth(N,XS) -> snd(splitAt(N,XS))
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	   splitAt(s(N),cons(X))
0.08/0.18	  context: u(splitAt(N,[]))
0.08/0.18	  substitution:
0.08/0.18	   XS -> splitAt(s(N),cons(X))
0.08/0.18	  Qed
0.08/0.18	EOF