I have same problem with i5-5200U (Lenovo E550). I use the notebook with more monitors (on VGA) and only one (HP Compaq LA2306x) is affected by this bug. 

I have this knowledges about that:
- it's not connected with display resolution
- no syslog/dmesg messages
- all power management functions are turned off (monitor and pc)
- its quite random, but only same fails causes switching the monitor off...sometimes it only make black horizontal line over the screen for aprox 50ms ... I guess it some glitch on clock signal
- there is no problem with VGA cable :-)
- DDC/CI is turned off (on monitor)

Linux 4.5.0-2-amd64 #1 SMP Debian 4.5.3-2 (2016-05-08) x86_64 GNU/Linux
xserver-xorg-video-intel - 2:2.99.917+git20160522-1~bpo8+1

Thank you for fixing it;)

cat /var/log/Xorg.0.log
[398650.361] 
X.Org X Server 1.16.4
Release Date: 2014-12-20
[398650.361] X Protocol Version 11, Revision 0
[398650.361] Build Operating System: Linux 3.16.0-4-amd64 x86_64 Debian
[398650.361] Current Operating System: Linux cepelka-notebook 4.5.0-2-amd64 #1 SMP Debian 4.5.3-2 (2016-05-08) x86_64
[398650.361] Kernel command line: BOOT_IMAGE=/boot/vmlinuz-4.5.0-2-amd64 root=UUID=ddc15e35-db8c-40c7-95a8-7c6ef8a3033a ro intel_iommu=igfx_off
[398650.361] Build Date: 11 February 2015  12:32:02AM
[398650.361] xorg-server 2:1.16.4-1 (http://www.debian.org/support) 
[398650.361] Current version of pixman: 0.33.6
[398650.361] 	Before reporting problems, check http://wiki.x.org
	to make sure that you have the latest version.
[398650.361] Markers: (--) probed, (**) from config file, (==) default setting,
	(++) from command line, (!!) notice, (II) informational,
	(WW) warning, (EE) error, (NI) not implemented, (??) unknown.
[398650.361] (==) Log file: "/var/log/Xorg.0.log", Time: Tue Jun 14 10:36:19 2016
[398650.361] (==) Using config file: "/etc/X11/xorg.conf"
[398650.361] (==) Using config directory: "/etc/X11/xorg.conf.d"
[398650.361] (==) Using system config directory "/usr/share/X11/xorg.conf.d"
[398650.361] (==) ServerLayout "X.org Configured"
[398650.361] (**) |-->Screen "Screen0" (0)
[398650.361] (**) |   |-->Monitor "Monitor0"
[398650.361] (**) |   |-->Device "Card0"
[398650.361] (**) |-->Input Device "Mouse0"
[398650.361] (**) |-->Input Device "Keyboard0"
[398650.361] (==) Automatically adding devices
[398650.361] (==) Automatically enabling devices
[398650.361] (==) Automatically adding GPU devices
[398650.362] (WW) The directory "/usr/share/fonts/X11/cyrillic" does not exist.
[398650.362] 	Entry deleted from font path.
[398650.362] (WW) The directory "/usr/share/fonts/X11/cyrillic" does not exist.
[398650.362] 	Entry deleted from font path.
[398650.362] (**) FontPath set to:
	/usr/share/fonts/X11/misc,
	/usr/share/fonts/X11/100dpi/:unscaled,
	/usr/share/fonts/X11/75dpi/:unscaled,
	/usr/share/fonts/X11/Type1,
	/usr/share/fonts/X11/100dpi,
	/usr/share/fonts/X11/75dpi,
	built-ins,
	/usr/share/fonts/X11/misc,
	/usr/share/fonts/X11/100dpi/:unscaled,
	/usr/share/fonts/X11/75dpi/:unscaled,
	/usr/share/fonts/X11/Type1,
	/usr/share/fonts/X11/100dpi,
	/usr/share/fonts/X11/75dpi,
	built-ins
[398650.362] (**) ModulePath set to "/usr/lib/xorg/modules"
[398650.362] (WW) Hotplugging is on, devices using drivers 'kbd', 'mouse' or 'vmmouse' will be disabled.
[398650.362] (WW) Disabling Mouse0
[398650.362] (WW) Disabling Keyboard0
[398650.362] (II) Loader magic: 0x55672cbb4d80
[398650.362] (II) Module ABI versions:
[398650.362] 	X.Org ANSI C Emulation: 0.4
[398650.362] 	X.Org Video Driver: 18.0
[398650.362] 	X.Org XInput driver : 21.0
[398650.362] 	X.Org Server Extension : 8.0
[398650.362] (II) xfree86: Adding drm device (/dev/dri/card0)
[398650.364] (--) PCI:*(0:0:2:0) 8086:1616:17aa:5020 rev 9, Mem @ 0xe0000000/16777216, 0xc0000000/536870912, I/O @ 0x00003000/64
[398650.364] (II) "glx" will be loaded. This was enabled by default and also specified in the config file.
[398650.364] (II) LoadModule: "glx"
[398650.364] (II) Loading /usr/lib/xorg/modules/extensions/libglx.so
[398650.365] (II) Module glx: vendor="X.Org Foundation"
[398650.365] 	compiled for 1.16.4, module version = 1.0.0
[398650.365] 	ABI class: X.Org Server Extension, version 8.0
[398650.365] (==) AIGLX enabled
[398650.365] (II) LoadModule: "intel"
[398650.365] (II) Loading /usr/lib/xorg/modules/drivers/intel_drv.so
[398650.365] (II) Module intel: vendor="X.Org Foundation"
[398650.365] 	compiled for 1.16.4, module version = 2.99.917
[398650.365] 	Module class: X.Org Video Driver
[398650.365] 	ABI class: X.Org Video Driver, version 18.0
[398650.365] (II) intel: Driver for Intel(R) Integrated Graphics Chipsets:
	i810, i810-dc100, i810e, i815, i830M, 845G, 854, 852GM/855GM, 865G,
	915G, E7221 (i915), 915GM, 945G, 945GM, 945GME, Pineview GM,
	Pineview G, 965G, G35, 965Q, 946GZ, 965GM, 965GME/GLE, G33, Q35, Q33,
	GM45, 4 Series, G45/G43, Q45/Q43, G41, B43
[398650.365] (II) intel: Driver for Intel(R) HD Graphics: 2000-6000
[398650.365] (II) intel: Driver for Intel(R) Iris(TM) Graphics: 5100, 6100
[398650.365] (II) intel: Driver for Intel(R) Iris(TM) Pro Graphics: 5200, 6200, P6300
[398650.365] (++) using VT number 7

[398650.371] (II) intel(0): Using Kernel Mode Setting driver: i915, version 1.6.0 20151218
[398650.371] (II) intel(0): SNA compiled: xserver-xorg-video-intel 2:2.99.917+git20160522-1~bpo8+1 (Vincent Cheng <email address hidden>)
[398650.371] (II) intel(0): SNA compiled for use with valgrind
[398650.372] (--) intel(0): Integrated Graphics Chipset: Intel(R) HD Graphics 5500
[398650.372] (--) intel(0): CPU: x86-64, sse2, sse3, ssse3, sse4.1, sse4.2, avx, avx2; using a maximum of 2 threads
[398650.372] (==) intel(0): Depth 24, (--) framebuffer bpp 32
[398650.372] (==) intel(0): RGB weight 888
[398650.372] (==) intel(0): Default visual is TrueColor
[398650.372] (II) intel(0): Output eDP1 using monitor section Monitor0
[398650.392] (--) intel(0): Found backlight control interface intel_backlight (type 'raw') for output eDP1
[398650.392] (II) intel(0): Enabled output eDP1
[398650.392] (II) intel(0): Output DP1 has no monitor section
[398650.392] (II) intel(0): Enabled output DP1
[398650.392] (II) intel(0): Output HDMI1 has no monitor section
[398650.392] (II) intel(0): Enabled output HDMI1
[398650.392] (II) intel(0): Output DP2 has no monitor section
[398650.392] (II) intel(0): Enabled output DP2
[398650.392] (II) intel(0): Output HDMI2 has no monitor section
[398650.392] (II) intel(0): Enabled output HDMI2
[398650.392] (--) intel(0): Using a maximum size of 256x256 for hardware cursors
[398650.392] (II) intel(0): Output VIRTUAL1 has no monitor section
[398650.392] (II) intel(0): Enabled output VIRTUAL1
[398650.392] (--) intel(0): Output eDP1 using initial mode 1920x1080 on pipe 0
[398650.392] (--) intel(0): Output DP2 using initial mode 1920x1080 on pipe 2
[398650.392] (==) intel(0): TearFree disabled
[398650.392] (==) intel(0): DPI set to (96, 96)
[398650.392] (II) Loading sub module "dri2"
[398650.392] (II) LoadModule: "dri2"
[398650.392] (II) Module "dri2" already built-in
[398650.392] (II) Loading sub module "present"
[398650.392] (II) LoadModule: "present"
[398650.392] (II) Module "present" already built-in
[398650.393] (==) Depth 24 pixmap format is 32 bpp
[398650.393] (II) intel(0): SNA initialized with Broadwell (gen8) backend
[398650.393] (==) intel(0): Backing store enabled
[398650.393] (==) intel(0): Silken mouse enabled
[398650.393] (II) intel(0): HW Cursor enabled
[398650.393] (II) intel(0): RandR 1.2 enabled, ignore the following RandR disabled message.
[398650.393] (==) intel(0): DPMS enabled
[398650.393] (==) intel(0): Display hotplug detection enabled
[398650.393] (II) intel(0): [DRI2] Setup complete
[398650.393] (II) intel(0): [DRI2]   DRI driver: i965
[398650.393] (II) intel(0): [DRI2]   VDPAU driver: va_gl
[398650.393] (II) intel(0): direct rendering: DRI2 enabled
[398650.393] (II) intel(0): hardware support for Present enabled
[398650.393] (--) RandR disabled
[398650.397] (II) SELinux: Disabled on system
[398650.403] (II) AIGLX: enabled GLX_MESA_copy_sub_buffer
[398650.403] (II) AIGLX: enabled GLX_ARB_create_context
[398650.403] (II) AIGLX: enabled GLX_ARB_create_context_profile
[398650.403] (II) AIGLX: enabled GLX_EXT_create_context_es2_profile
[398650.403] (II) AIGLX: enabled GLX_INTEL_swap_event
[398650.403] (II) AIGLX: enabled GLX_SGI_swap_control and GLX_MESA_swap_control
[398650.403] (II) AIGLX: enabled GLX_EXT_framebuffer_sRGB
[398650.403] (II) AIGLX: enabled GLX_ARB_fbconfig_float
[398650.403] (II) AIGLX: GLX_EXT_texture_from_pixmap backed by buffer objects
[398650.403] (II) AIGLX: enabled GLX_ARB_create_context_robustness
[398650.403] (II) AIGLX: Loaded and initialized i965
[398650.403] (II) GLX: Initialized DRI2 GL provider for screen 0
[398650.406] (II) intel(0): switch to mode 1920x1080@60.0 on eDP1 using pipe 0, position (0, 0), rotation normal, reflection none
[398650.406] (II) intel(0): switch to mode 1920x1080@60.0 on DP2 using pipe 2, position (0, 0), rotation normal, reflection none
[398650.406] (II) intel(0): Setting screen physical size to 508 x 285
[398650.442] (II) config/udev: Adding input device Power Button (/dev/input/event4)
[398650.442] (**) Power Button: Applying InputClass "evdev keyboard catchall"
[398650.442] (II) LoadModule: "evdev"
[398650.442] (II) Loading /usr/lib/xorg/modules/input/evdev_drv.so
[398650.443] (II) Module evdev: vendor="X.Org Foundation"
[398650.443] 	compiled for 1.16.0, module version = 2.9.0
[398650.443] 	Module class: X.Org XInput Driver
[398650.443] 	ABI class: X.Org XInput driver, version 21.0
[398650.443] (II) Using input driver 'evdev' for 'Power Button'