Core Synthetic Shredder Oil Excellent for Cross-Cut Shredders. Core Synthetic Shredder Oil will help the shredder run smoother, faster, and put less strain on the motor, gears, and bearings. Use when shredder sheet capacity decreases. DIRECTIONS: Apply lubricant from side to side across a sheet of scrap paper. Shred the lubricated sheet of paper. After shredding is complete, reverse the shredder to distribute the lubricant.