TMZ Sports broke the story ... Elliott's ex-GF claimed the Dallas Cowboys star struck her during a parking lot altercation early Friday morning -- and later claimed he had a history of violence against her.
But cops spoke with 4 witnesses who say they never saw Elliott lay a finger on the woman -- and in the end, officers did NOT arrest Elliott because they didn't feel there was enough evidence to prove he committed a crime.
The woman was referred to the prosecutor's office -- but clearly, Elliott ain't sweatin' it.
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