Kilmarnock's former Sunderland and Rangers winger Allan
Johnston broke the deadlock at Almondvale in the 13th minute.
Steven Naismith's cross from the right was flicked on by Kris Boyd
and former Hearts player Johnston showed great composure to angle the
ball past Roddy McKenzie from an acute angle.
But Killie took their foot off the gas following their opener and
paid the penalty when Horvath restored parity in the 36th minute after
the visitors failed to clear their lines.

Burton O'Brien's innocuous cross from the right was headed back
across goal by Craig Easton and the Hungarian pounced to take advantage
of the indecisiveness of Simon Ford, David Lilley and goalkeeper Alan
Combe.
It was a goal the hosts barely deserved as they had created virtually
nothing in front of goal prior to equalising.
Six minutes into the second period, Livi replaced Jason Dair and
James McPake with Snodgrass and Colin McMenamin.
But, just moments prior to their introduction, Killie should have
restored their advantage.
Steven Naismith raced clear of Stanic after being put through by
Leven on the counter-attack, but he dragged his shot wide from 10 yards
with just Roddy McKenzie to beat.
Youngster Snodgrass offered his side a different option in offensive
areas with his pace.
And he showed great skill to get to the goal-line before crossing for
McNamee to score.
Snodgrass' cross was misjudged by Horvath in the box, but Scotland
international was on hand to give the home side the lead when the ball
fell kindly for him eight yards out.

The impressive Livi youngster wrapped up the scoring in the closing
stages of the game to the delight of the home crowd.
He ran at the Kilmarnock defence before unleashing an unstoppable
left-footed shot from 20 yards past Combe.
Colin McMenamin was gifted a chance to grab a fourth goal for the
home side after latching onto a poor pass-back, but was denied by a good
block from Combe and Snodgrass could not put the rebound away.
The win allowed Richard Gough's side to close the gap on fellow
strugglers Dundee United to just three points at the bottom of the SPL.
Killie certainly missed the hard working (little serviced) Kris
Boyd, who was replaced at the half by Colin Nish,
who looked out of sorts himself!
Kilmarnock: Combe, Fowler, Hay, Ford, Lilley
,
Locke
(Murray 78 mins), McDonald, Johnston, Leven (Invincibile 63 mins), Boyd
(Nish 45 mins), Naismith.
Subs: Smith, Dindeleux, Fontaine, Dodds
Attendance: 2,536