NO

Problem:
 eq() -> true()
 eq() -> eq()
 eq() -> false()
 inf(X) -> cons()
 take(0(),X) -> nil()
 take(s(),cons()) -> cons()
 length(nil()) -> 0()
 length(cons()) -> s()

Proof:
 Containment Processor: loop length: 1
                        terms:
                         eq()
                        context: []
                        substitution:
                         
  Qed