Macintosh HD could not be verified completely

Edit.

Is sounds like you have a failed SSD. You should take it to an Apple Authorized Service Provider https://locate.apple.com/country to check if it is the SSD. If so if it is a 64 or 128 GB SSD they will replace it for free. Unfortunately, if it is a failed SSD none of the data on the SSD will be retrievable.

MacBook Air computers sold between June 2012 through June 2013 with 64 or 128 GB SSDs are known to have a high SSD failure rate and Apple is replacing them for free.

http://www.apple.com/support/macbookair-flashdrive/

To confirm the SSD is dead try booting from the Recovery Partition.

Press the power key and just after the bong

hold down the Command key and the R key (Command-R)

until the Apple logo appears.

If it boots from the SSD Recovery Partition then at least some of the SSD is alive and you can attempt an emergency data recovery. (Post back for that.)

If instead it goes into a network boot then the SSD is dead.

Booting from the SSD would take less than a minute. A network boot takes many minutes to complete.

Message was edited by: hands4

I update the post so see the thread for my edits.

So it will boot the Recovery Partition quickly and you show you options for Disk Utility and Reinstall OS X (among others). That is a good sign.

Try booting in Safe Mode and then running a Time Machine (or other) backup.

(You cannot backup to a Time Capsule while in Safe Boot mode.)

Press the power button and as you hear the bong hold down the Shift key.

If it will boot then run a Time Machine backup.

Time Machine Basics: http://support.apple.com/kb/ht1427

If you could not compete a backup from Safe Mode then skip to the Emergency Data Recovery below before attempting to repair the disk.

—————

Repairing the Disk and Reinstalling OS X.

Boot the Recovery Partition and start Disk Utility.

Click on your system volume (Macintosh HD).

If the S.M.A.R.T status does not say “Verified” then when you are done with these procedures the SSD will need to be replaced.

Repair Disk.

If it did not repair completely the first time, try once more.

Try a Safe Mode boot to backup the data and then a normal boot.

If a normal boot did not work boot the Recovery Partition and reinstall OS X.

Try a Safe Mode boot to backup the data and then a normal boot.

If a normal boot did not work it is time for a clean install. This will wipe all data from the SSD. Hopefully by now you have recovered your data.

Unplug any external disks.

Boot the Recovery Partition.

Format the system drive using the procedures below, selecting the system disk.

Reinstall OS X.

Boot normally. If it still won’t boot then there is something still wrong with the SSD or other hardware.

If it boots normally, this time it will ask to reload the data.

Tell it to reload your data from your Time Machine backup or the emergency data recovery disk.

—————

Recover data by booting from an external system disk:

You will need an external drive which you will erase for this procedure.

(Do not erase your existing backup, even if it is not current.)

Format the external disk as instructed below.

Install OS X onto that external disk, booting the Recovery Partition.

Boot from that external disk (Boot then hold down Option).

Using the Finder drag as many folders as you can to the external disk.

—————

Formatting the external drive:

Boot the recovery partition.

Format (and erase) the destination recovery disk:

Plug in the drive you are about to erase.

Select the volume that is NOT your system disk.

Click on Partition.

Pull down under Partition Layout to 1 Partition.

Click on Options…

Select GUID Partition Table.

Name: Emergency Backup

Format: Select Mac OS Extended (journaled)

Click Apply.

Click Partition.

—————

Once your system is healthy again be sure to maintain one or two reasonably current backups.

More about backups:

Time Machine Basics: http://support.apple.com/kb/ht1427

Most commonly used backup methods: https://discussions.apple.com/docs/DOC-3045

Methodology to protect your data. Backups vs. Archives. Long-term data protection: https://discussions.apple.com/docs/DOC-6031