Striker Kojo Obeng grabbed his second goal of the competition to help Hearts of Oak secure back to back wins in the GFA Special tournament.
The striker rose high in the 43rd minute to score the only goal, as the Phobians silenced the scientific soccer lads.
Hearts established their intentions in the game early after a Fatau Mohammed goal-bound header was tipped off by Liberty’s Togolese goalkeeper Fatao Alhassan in the 20th minute.
The Phobians won a corner kick moments later and forward Kojo Obeng Jnr rose high to connect home.
Liberty kept probing for a leveler but a resolute Hearts defense held on to ensure Hearts of Oak secured all the points.