I'm not sure if this is relevant but all the servers we've tried running Adobe Air on are virtual - running on Citric Xen Hypervisor 6.2. While Air is crashing on all those servers we don't' observe the problem of the on-metal server - same version of OS - 2012 R2.
Attached is the requested log:
[2016-09-07:09:37:17] Launching subprocess with commandline c:\Program Files (x86)\Common Files\Adobe AIR\Versions\1.0\Resources\Adobe AIR Updater -updatecheck
[2016-09-07:09:41:26] Launching subprocess with commandline c:\Program Files (x86)\Common Files\Adobe AIR\Versions\1.0\Resources\Adobe AIR Updater -updatecheck
[2016-09-07:09:50:37] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:09:50:37] Commandline is: -arp:uninstall
[2016-09-07:09:50:37] Installed runtime (22.0.0.153) located at c:\Program Files (x86)\Common Files\Adobe AIR
[2016-09-07:09:50:39] Relaunching with elevation
[2016-09-07:09:50:39] Launching subprocess with commandline c:\program files (x86)\common files\adobe air\versions\1.0\resources\adobe air updater.exe -eu
[2016-09-07:09:50:39] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:09:50:39] Commandline is: -stdio \\.\pipe\AIR_68344_0 -eu
[2016-09-07:09:50:39] Installed runtime (22.0.0.153) located at c:\Program Files (x86)\Common Files\Adobe AIR
[2016-09-07:09:50:39] Starting runtime uninstall. Uninstalling runtime version 22.0.0.153
[2016-09-07:09:50:39] Reinstalling c:\Program Files (x86)\Common Files\Adobe AIR\Versions\1.0\setup.msi
[2016-09-07:09:50:40] Uninstalling product with GUID {F2E04A40-3EA7-42F8-B7CC-B6E7A39DC150}
[2016-09-07:09:50:41] Runtime Installer end with exit code 0
[2016-09-07:09:50:41] Elevated install completed
[2016-09-07:09:50:41] Runtime Installer end with exit code 0
[2016-09-07:09:51:08] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:09:51:08] Commandline is:
[2016-09-07:09:51:08] No installed runtime detected
[2016-09-07:09:51:22] Relaunching with elevation
[2016-09-07:09:51:22] Launching subprocess with commandline c:\users\admini~1.kil\appdata\local\temp\2\airaf93.tmp\adobe air installer.exe -ei
[2016-09-07:09:51:22] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:09:51:22] Commandline is: -stdio \\.\pipe\AIR_47100_0 -ei
[2016-09-07:09:51:22] No installed runtime detected
[2016-09-07:09:51:22] Starting silent runtime install. Installing runtime version 22.0.0.153
[2016-09-07:09:51:22] Installing msi at c:\users\admini~1.kil\appdata\local\temp\2\airaf93.tmp\setup.msi with guid {F2E04A40-3EA7-42F8-B7CC-B6E7A39DC150}
[2016-09-07:09:51:23] Runtime Installer end with exit code 0
[2016-09-07:09:51:23] Elevated install completed
[2016-09-07:09:51:32] Launching subprocess with commandline c:\Program Files (x86)\Common Files\Adobe AIR\Versions\1.0\Resources\Adobe AIR Updater -installupdatecheck
[2016-09-07:22:04:41] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:22:04:41] Commandline is:
[2016-09-07:22:04:41] Installed runtime (22.0.0.153) located at c:\Program Files (x86)\Common Files\Adobe AIR
[2016-09-07:22:04:44] Launching subprocess with commandline c:\Program Files (x86)\Common Files\Adobe AIR\Versions\1.0\Resources\Adobe AIR Updater -installupdatecheck
[2016-09-07:22:06:16] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:22:06:16] Commandline is:
[2016-09-07:22:06:16] Installed runtime (22.0.0.153) located at c:\Program Files (x86)\Common Files\Adobe AIR
[2016-09-07:22:06:20] Launching subprocess with commandline c:\Program Files (x86)\Common Files\Adobe AIR\Versions\1.0\Resources\Adobe AIR Updater -installupdatecheck
[2016-09-07:22:06:27] Bootstrapper begin with version 3.6.0.5970 on Win x86
[2016-09-07:22:06:27] Installed runtime (22.0.0.153) located at c:\Program Files (x86)\Common Files\Adobe AIR
[2016-09-07:22:06:27] Launching subprocess with commandline "Adobe AIR Application Installer.exe" "C:\Users\ADMINI~1.KIL\AppData\Local\Temp\2\AIREA9F.tmp\ShareFile Enterprise Sync"
[2016-09-07:22:06:27] Application Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:22:06:27] Commandline is: "C:\Users\ADMINI~1.KIL\AppData\Local\Temp\2\AIREA9F.tmp\ShareFile Enterprise Sync"
[2016-09-07:22:06:27] Installed runtime (22.0.0.153) located at c:\Program Files (x86)\Common Files\Adobe AIR
[2016-09-07:22:06:28] Validating app in folder C:\Users\ADMINI~1.KIL\AppData\Local\Temp\2\AIREA9F.tmp\ShareFile Enterprise Sync
[2016-09-07:22:06:29] Application signature verified
[2016-09-07:22:06:29] Unpackaging/validation complete
[2016-09-07:22:06:29] No app located for appID 'com.sharefile.sfsync.Enterprise' and pubID ''
[2016-09-07:22:06:35] Starting app installation to C:\Program Files (x86)\ShareFile. Installing app com.sharefile.sfsync.Enterprise version 1.4 using the source file at file:///C:/Users/ADMINI~1.KIL/AppData/Local/Temp/2/AIREA9F.tmp/ShareFile%20Enterprise%20S ync
[2016-09-07:22:06:35] Installing msi at C:\Users\ADMINI~1.KIL\AppData\Local\Temp\2\AIREA9F.tmp\ShareFile Enterprise Sync\setup.msi with guid {62F9079C-59B2-C3E7-1AD0-A9FEB22ECCD8}
[2016-09-07:22:06:36] Launching subprocess with commandline C:\Program Files (x86)\ShareFile\ShareFile Enterprise Sync\ShareFile Enterprise Sync.exe
[2016-09-07:22:06:38] Subprocess Application Installer failed (1073807366)
[2016-09-07:22:06:38] Bootstrapper end with exit code 1073807366
[2016-09-07:22:07:15] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:22:07:15] Commandline is: -arp:uninstall
[2016-09-07:22:07:15] Installed runtime (22.0.0.153) located at c:\Program Files (x86)\Common Files\Adobe AIR
[2016-09-07:22:07:21] Relaunching with elevation
[2016-09-07:22:07:21] Launching subprocess with commandline c:\program files (x86)\common files\adobe air\versions\1.0\resources\adobe air updater.exe -eu
[2016-09-07:22:07:22] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:22:07:22] Commandline is: -stdio \\.\pipe\AIR_70032_0 -eu
[2016-09-07:22:07:22] Installed runtime (22.0.0.153) located at c:\Program Files (x86)\Common Files\Adobe AIR
[2016-09-07:22:07:22] Starting runtime uninstall. Uninstalling runtime version 22.0.0.153
[2016-09-07:22:07:22] Reinstalling c:\Program Files (x86)\Common Files\Adobe AIR\Versions\1.0\setup.msi
[2016-09-07:22:07:22] Uninstalling product with GUID {F2E04A40-3EA7-42F8-B7CC-B6E7A39DC150}
[2016-09-07:22:07:23] Runtime Installer end with exit code 0
[2016-09-07:22:07:23] Elevated install completed
[2016-09-07:22:07:23] Runtime Installer end with exit code 0
[2016-09-07:22:07:34] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:22:07:34] Commandline is:
[2016-09-07:22:07:34] No installed runtime detected
[2016-09-07:22:07:36] Relaunching with elevation
[2016-09-07:22:07:36] Launching subprocess with commandline c:\users\admini~1.kil\appdata\local\temp\2\airec21.tmp\adobe air installer.exe -ei
[2016-09-07:22:07:36] Runtime Installer begin with version 22.0.0.153 on Windows Server 2012 R2 x86
[2016-09-07:22:07:36] Commandline is: -stdio \\.\pipe\AIR_54332_0 -ei
[2016-09-07:22:07:36] No installed runtime detected
[2016-09-07:22:07:36] Starting silent runtime install. Installing runtime version 22.0.0.153
[2016-09-07:22:07:36] Installing msi at c:\users\admini~1.kil\appdata\local\temp\2\airec21.tmp\setup.msi with guid {F2E04A40-3EA7-42F8-B7CC-B6E7A39DC150}
[2016-09-07:22:07:37] Runtime Installer end with exit code 0
[2016-09-07:22:07:37] Elevated install completed
[2016-09-07:22:07:39] Launching subprocess with commandline c:\Program Files (x86)\Common Files\Adobe AIR\Versions\1.0\Resources\Adobe AIR Updater -installupdatecheck