Akihiro Hyodo scored one goal and set up another to help Shimizu move on to 30 points, one behind the Antlers who were held to a 2-2 draw by Albirex Niigata at home.
Hyodo opened the scoring with a left-footed drive in the 17th minute and set up Jungo Fujimoto with a fine pass 20 minutes later.
Japan international Shinji Okazaki made it 3-0 for Shimizu in the 57th minute before Cerezo pulled one back through an own goal and Martinez added another in stoppage time.
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