Secure　search　over　encrypted　remote　data　is　crucial　in　cloud　computing　to　guarantee　the　data　privacy　and　usability.　To　prevent　unauthorized　data　usage,　fine-grained　access　control　is　necessary　in　multi-user　system.　However,　authorized　user　may　intentionally　leak　the　secret　key　for　financial　benefit.　Thus,　tracing　and　revoking　the　malicious　user　who　abuses　secret　key　needs　to　be　solved　imminently.　In　this　paper,　we　propose　an　escrow　free　traceable　attribute　based　multiple　keywords　subset　search　system　with　verifiable　outsourced　decryption　(EF-TAMKS-VOD).　The　key　escrow　free　mechanism　could　effectively　prevent　the　key　generation　centre　(KGC)　from　unscrupulously　searching　and　decrypting　all　encrypted　files　of　users.　Also,　the　decryption　process　only　requires　ultra　lightweight　computation,　which　is　a　desirable　feature　for　energy-limited　devices.　In　addition,　efficient　user　revocation　is　enabled　after　the　malicious　user　is　figured　out.　Moreover,　the　proposed　system　is　able　to　support　flexible　number　of　attributes　rather　than　polynomial　bounded.　Flexible　multiple　keyword　subset　search　pattern　is　realized,　and　the　change　of　the　query　keywords　order　does　not　affect　the　search　result.　Security　analysis　indicates　that　EF-TAMKS-VOD　is　provably　secure.　Efficiency　analysis　and　experimental　results　show　that　EF-TAMKS-VOD　improves　the　efficiency　and　greatly　reduces　the　computation　overhead　of　users＇　terminals.