Node 0x14 [Pin Complex] wcaps 0x40058d: Stereo Amp-Out
  Control: name="Front Playback Switch", index=0, device=0
    ControlAmp: chs=3, dir=Out, idx=0, ofs=0
  Control: name="Line Out Front Jack", index=0, device=0
  Amp-Out caps: ofs=0x00, nsteps=0x00, stepsize=0x00, mute=1
  Amp-Out vals:  [0x00 0x00]
  Pincap 0x0001003e: IN OUT HP EAPD Detect Trigger
  EAPD 0x2: EAPD
  Pin Default 0x01014010: [Jack] Line Out at Ext Rear
    Conn = 1/8, Color = Green
    DefAssociation = 0x1, Sequence = 0x0

pulseaudio only check line out Jack but yours are line out front jack

0.240|   0.000) D: [pulseaudio] alsa-mixer.c: Probe of jack 'Line Out Jack' succeeded (not found)
(   0.240|   0.000) D: [pulseaudio] alsa-mixer.c: Probe of jack 'Line Out Phantom Jack' succeeded (not found)


only found four jacks which support Jack detect : headphone, front Mic, rear Mic and line in

seem did not check line out front Jack 

http://cgit.freedesktop.org/pulseaudio/pulseaudio/commit/src/modules/alsa/mixer/paths/analog-output-lineout.conf?id=ecf3ab2b5788c85c237eeb6429bd1d525b9ac0cc



+[Jack Line Out]
+required-any = any
+
+[Jack Line Out Phantom]
+state.plugged = unknown
+state.unplugged = unknown
+required-any = any
+
+[Jack Line Out Front]
+required-any = any
+


(   0.181|   0.000) D: [pulseaudio] module-alsa-card.c: Found 4 jacks.
(   0.182|   0.000) I: [pulseaudio] alsa-util.c: Successfully attached to mixer 'hw:0'
(   0.182|   0.000) D: [pulseaudio] module-alsa-card.c: Jack 'Front Headphone Jack' is now plugged in
(   0.182|   0.000) D: [pulseaudio] device-port.c: Setting port analog-output-headphones to status yes
(   0.182|   0.000) D: [pulseaudio] core-subscribe.c: Dropped redundant event due to change event.
(   0.182|   0.000) D: [pulseaudio] module-switch-on-port-available.c: finding port analog-output-headphones
(   0.182|   0.000) D: [pulseaudio] module-alsa-card.c: Jack 'Front Mic Jack' is now unplugged
(   0.182|   0.000) D: [pulseaudio] device-port.c: Setting port analog-input-microphone-front to status no
(   0.182|   0.000) D: [pulseaudio] core-subscribe.c: Dropped redundant event due to change event.
(   0.182|   0.000) D: [pulseaudio] module-switch-on-port-available.c: finding port analog-input-microphone-front
(   0.182|   0.000) D: [pulseaudio] module-alsa-card.c: Jack 'Rear Mic Jack' is now unplugged
(   0.182|   0.000) D: [pulseaudio] device-port.c: Setting port analog-input-microphone-rear to status no
(   0.182|   0.000) D: [pulseaudio] core-subscribe.c: Dropped redundant event due to change event.
(   0.182|   0.000) D: [pulseaudio] module-switch-on-port-available.c: finding port analog-input-microphone-rear
(   0.182|   0.000) D: [pulseaudio] module-alsa-card.c: Jack 'Line Jack' is now plugged in
(   0.182|   0.000) D: [pulseaudio] device-port.c: Setting port analog-input-linein to status yes
(   0.182|   0.000) D: [pulseaudio] core-subscribe.c: Dropped redundant event due to change event.
(   0.182|   0.000) D: [pulseaudio] module-switch-on-port-available.c: finding port analog-input-linein


do pulseaudio use  line out.conf or desktop-speaker.conf to differentiate the three output path of those business desktop with internal speaker, line out and headphone ?