Problem:
 sel(s(N),cons(X)) -> sel(N,XS)
 from(X) -> cons(X)
 sel(0(),cons(X)) -> X
 minus(X,0()) -> 0()
 minus(s(X),s(Y)) -> minus(X,Y)
 quot(0(),s(Y)) -> 0()
 quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y)))
 zWquot(XS,nil()) -> nil()
 zWquot(nil(),XS) -> nil()
 zWquot(cons(X),cons(Y)) -> cons(quot(X,Y))

Proof:
 Fresh Variable Processor:
  loop length: 1
  terms:
   sel(s(N),cons(X))
  context: sel(N,[])
  substitution:
   XS -> sel(s(N),cons(X))
  Qed