The defending champions had been given a chance to reach the summit by the 2-0 defeat of previous leaders Feyenoord at the hands of FC Twente on Saturday.
By the time Sjaak Polak got Sparta on the scoresheet with a 77th-minute penalty, PSV were over the hill and far away with strikes from Danko Lazovic, Mike Zonneveld, Jefferson Farfan and Kenneth Perez.
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