Rachel Uchitel – the New York City party girl who has been caught up in a cheating scandal with Tiger Woods – gave an interview denying an affair – but the interview was riddled with contradictions.

 The 34-year-old brunette – who has a reputation for dating married celebrities – claims to reveal "the truth about her relationship" with the multimillionaire golf superstar in a long-winded and one-sided exclusive interview in today’s New York Post newspaper.

But The ENQUIRER can carefully sort out the REAL facts from her fiction!

The blockbuster cover story in our print edition about her cheating scandal with Tiger was verified with polygraphs, multiple sources and an on-the-record exclusive interview with one of Rachel’s friends. But despite all that, Rachel has gone into full damage control mode in an attempt to confuse the public.

Here’s what she says and what we REALLY know:

          1. Rachel – who calls our story "ridiculous" with "not a word of it true" – says: "I offered to take a lie-detector test."

 In fact, it was The ENQUIRER who asked Rachel to take a polygraph but she refused!
          2. Without stating her name, Rachel attacks her friend Ashley Samson – who is quoted by name in The ENQUIRER, and is one of the multiple sources who passed a polygraph about Rachel’s claims of an affair with Tiger.

          Rachel tells The Post that Ashley "is not even a friend of mine." Rachel previously told another New York City newspaper that she didn’t even know her last name.

          However, Rachel took Ashley with her to Spain recently as a close party pal – and The ENQUIRER has even published candid photos of them together on our Web site.

          3. Rachel says she has never even spoken to Tiger on the phone – and told the Post she talked about Tiger in a phone call to someone else.

 But Ashley and other sources passed polygraph tests about hearing Rachel speak to Tiger on the phone in romantic conversations and Ashley told us, "She got several phone calls from him (Tiger), and I recognized his voice. It’s very distinctive."

          4. Rachel makes a point of trying to dump on our source by claiming Ashley "passed out from too many Quaaludes."

We find it ironic that Rachel raises drug use.

What she doesn’t bring up is her own appetite for using prescription pills to enhance her sex life.

magazine reports that Rachel admitted to a friend that she likes to take prescription pills "because you have crazier sex."

And when The ENQUIRER questioned Rachel about this on the phone, she happily admitted she uses the sleep aide Ambien to enhance her sexual encounters "but not with Tiger."

          5. While Rachel admits to The Post that she was in Melbourne, Australia, a few weeks ago at the same time when Tiger was there, she now says "it’s nobody’s business" why she was there.

The truth is, Rachel has been caught up in outright lies in specific comment responses to The ENQUIRER about the trip.

Rachel traveled to Australia to meet with Tiger, multiple sources told us. BUT Rachel initially told us she traveled there with a boyfriend.

In a later conversation, however, she admitted to The ENQUIRER she had lied about going to Australia with a boyfriend. She said then she was in the country "for business."

She also said she was not in Tiger’s hotel. But an ENQUIRER reporter eye witnessed her IN the hotel.

She then said she did not go to the floor of the hotel where Tiger was staying.

 But an ENQUIRER reporter in Melbourne watched as Rachel checked in to the posh Crown Towers hotel, and went up to the 35th floor, which houses the hotel’s ritzy VIP suite. Tiger was staying in the same hotel, according to local press reports.

          Rachel insisted to The Post: "I didn’t see him in Australia at all."

 But one of our polygraphed sources told us Rachel blamed The ENQUIRER for ruining her latest tryst.

"It was a nightmare!" Rachel told our source. "The ENQUIRER followed me to Australia, and I only got to spend one day with Tiger and had to skip going to Dubai! I flew back to Las Vegas."

          6. Rachel stated to the Post that we have "no evidence" of her affair with Tiger – "It’s just (their) word against mine and Tiger’s."

In fact, The ENQUIRER has additional facts about Rachel that we have yet to release!

Our sources have already divulged that Rachel has told them her relationship with Tiger has played out in Los Angeles, Vegas and Australia.

"I know for a fact that Tiger and Rachel got together for four days in Los Angeles," one of our sources told us.

 In addition, sources have read racy text messages that have been exchanged between Tiger and Rachel. A source said, " They were constantly ‘sexting.’ Tiger was asking things like, ‘What are you wearing? What do you want to do to me? What do you want me to do to you?"

And Rachel specifically tells The Post: "I have never spoken on the phone with Tiger Woods, or texted him."

But while denying the affair to STAR, Rachel slipped up and admitted on the record, "Months ago, we texted about being in my club."

          7. Rachel told The Post "I don’t want to comment on the David Boreanaz stuff. That one is a different ballgame than the Tiger Woods thing."

And there’s a good reason she doesn’t want to comment!

          While Rachel emphatically says she’s no home wrecker, she recently had a disastrous affair with Boreanaz, the star of Bones.

 The affair even continued while his wife was pregnant and was reported exclusively by STAR magazine.

          In yet another contradiction among the many stories Rachel has told, while denying the affair with Tiger to The ENQUIRER, and despite her previous affair with Boreanaz, she insisted: "I don’t want to be somebody’s number two. I don’t want to be with a married man."

          Right, Rachel!