[27148UG, Conexant CX20561 (Hermosa), Green Headphone Out, Front] No sound at all

[khaktus]

There is no audio going through the HDMI cable (display port) into my TV set.
There is no HDMI option in the Audio Setting.
I have tried installing recommended "pavucontrol", though even that tool does not see HDMI option.

Your troubleshooting menus are designed in ridiculous way, they focus on (and test) just headphones, no such option as toubleshooting alternate audio outputs.

ProblemType: Bug
DistroRelease: Ubuntu 14.04
Package: alsa-base 1.0.25+dfsg-0ubuntu4
ProcVersionSignature: Ubuntu 3.19.0-42.48~14.04.1-generic 3.19.8-ckt10
Uname: Linux 3.19.0-42-generic i686
ApportVersion: 2.14.1-0ubuntu3.19
Architecture: i386
AudioDevicesInUse:
 USER PID ACCESS COMMAND
 /dev/snd/controlC0: dog 2054 F.... pulseaudio
CurrentDesktop: KDE
Date: Sat Jan 16 10:55:58 2016
InstallationDate: Installed on 2016-01-04 (11 days ago)
InstallationMedia: Kubuntu 14.04.3 LTS "Trusty Tahr" - Beta i386 (20150805)
PackageArchitecture: all
SourcePackage: alsa-driver
Symptom: audio
Symptom_AlsaPlaybackTest: ALSA playback test through plughw:Intel failed
Symptom_Card: Vstavaný zvuk - HDA Intel
Symptom_DevicesInUse:
 USER PID ACCESS COMMAND
 /dev/snd/controlC0: dog 2054 F.... pulseaudio
Symptom_Jack: Green Headphone Out, Front
Symptom_Type: No sound at all
Title: [27148UG, Conexant CX20561 (Hermosa), Green Headphone Out, Front] No sound at all
UpgradeStatus: No upgrade log present (probably fresh install)
dmi.bios.date: 11/19/2009
dmi.bios.vendor: LENOVO
dmi.bios.version: 7YET79WW (3.09 )
dmi.board.name: 27148UG
dmi.board.vendor: LENOVO
dmi.board.version: Not Available
dmi.chassis.asset.tag: No Asset Information
dmi.chassis.type: 10
dmi.chassis.vendor: LENOVO
dmi.chassis.version: Not Available
dmi.modalias: dmi:bvnLENOVO:bvr7YET79WW(3.09):bd11/19/2009:svnLENOVO:pn27148UG:pvrThinkPadR500:rvnLENOVO:rn27148UG:rvrNotAvailable:cvnLENOVO:ct10:cvrNotAvailable:
dmi.product.name: 27148UG
dmi.product.version: ThinkPad R500
dmi.sys.vendor: LENOVO