Q: IMac 10.9.1 Dual Core, 1 TB Mavericks, infected with virus?Trojan.FakeAV - -Rootkit.sirefef.spy in Safari! Help

It is most likely a scam trying to get you to buy AV software or worse. Ignore.

Helpful Links Regarding Malware Protection

An excellent link to read is Tom Reed's Mac Malware Guide.

Also, visit The XLab FAQs and read Detecting and avoiding malware and spyware.

See these Apple articles:

  Mac OS X Snow Leopard and malware detection

  OS X Lion- Protect your Mac from malware

  OS X Mountain Lion- Protect your Mac from malware

  OS X Mavericks- Protect your Mac from malware

  About file quarantine in OS X

If you require anti-virus protection Thomas Reed recommends using ClamXAV. (Thank you to Thomas Reed for this recommendation.)

From user Joe Bailey comes this equally useful advice:

The facts are:

1. There is no anti-malware software that can detect 100% of the malware out there.

2. There is no anti-malware that can detect anything targeting the Mac because there

     is no Mac malware in the wild, and therefore, no "signatures" to detect.

3. The very best way to prevent the most attacks is for you as the user to be aware that

     the most successful malware attacks rely on very sophisticated social engineering

     techniques preying on human avarice, ****, and fear.

4. Internet popups saying the FBI, NSA, Microsoft, your ISP has detected malware on

    your computer is intended to entice you to install their malware thinking it is a

    protection against malware.

5. Some of the anti-malware products on the market are worse than the malware

    from which they purport to protect you.

6. Be cautious where you go on the internet.

7. Only download anything from sites you know are safe.

8. Avoid links you receive in email, always be suspicious even if you get something

    you think is from a friend, but you were not expecting.

9. If there is any question in your mind, then assume it is malware.

1. If Safari is running, force it to quit as you did before.
2. Hold a shift key while launching Safari again.

If the scam webpage continues to appear write back for additional instructions.

3. Update OS X. Version 10.9.1 is quite old. Open the App Store and install all Apple recommended updates.

I do not have AV ...

This is a common misconception. Update OS X. It includes all the AV it requires. Don't use anything else.

Quit the application. Force quit if necessary.

Relaunch it by holding down the shift key and clicking its icon in the Dock. From the menu bar, select

          Safari ▹ Preferences... ▹ Privacy ▹ Remove All Website Data

to get rid of any cookies or other data left by the server. Open your Downloads folder and delete anything you don't recognize.