Syslog: pppd (Last 500 lines) 
Jan  1 00:07:18 (none) daemon.warn pppd[3814]: Timeout waiting for PADO packets
Jan  1 00:07:18 (none) daemon.err pppd[3814]: Unable to complete PPPoE Discovery
Jan  1 00:06:33 (none) daemon.warn pppd[3814]: Timeout waiting for PADO packets
Jan  1 00:06:33 (none) daemon.err pppd[3814]: Unable to complete PPPoE Discovery
Jan  1 00:05:48 (none) daemon.notice pppd[3814]: Modem hangup
Jan  1 00:05:48 (none) daemon.notice pppd[3814]: Connection terminated.
Jan  1 00:05:45 (none) daemon.warn pppd[3814]: Couldn't increase MTU to 1500
Jan  1 00:05:45 (none) daemon.warn pppd[3814]: Couldn't increase MTU to 1500
Jan  1 00:05:45 (none) daemon.warn pppd[3814]: Couldn't increase MRU to 1500
Jan  1 00:05:45 (none) daemon.warn pppd[3814]: Couldn't increase MRU to 1500
Jan  1 00:05:45 (none) daemon.notice pppd[3814]: peer from calling number 00:90:1A:A0:A9:BC authorized
Jan  1 00:05:45 (none) daemon.notice pppd[3814]: Connect: ppp0 <--> eth0.1
Jan  1 00:05:45 (none) daemon.info pppd[3814]: Using interface ppp0
Jan  1 00:05:45 (none) daemon.info pppd[3814]: PPP session is 5968
Jan  1 00:05:45 (none) daemon.info pppd[3814]: LCP terminated by peer
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: using channel 2
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: sent [LCP TermAck id=0x34]
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: sent [LCP EchoReq id=0x0 magic=0xde7aeea1]
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: sent [LCP ConfReq id=0x1 <mru 1492> <magic 0xde7aeea1>]
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: sent [LCP ConfRej id=0x32 <auth pap>]
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: sent [LCP ConfAck id=0x33 <mru 1492> <magic 0x6aae44fb>]
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: sent [IPCP ConfReq id=0x1 <addr 0.0.0.0> <ms-dns1 0.0.0.0> <ms-dns3 0.0.0.0>]
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: rcvd [LCP TermReq id=0x34] 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ...
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: rcvd [LCP ConfReq id=0x33 <mru 1492> <magic 0x6aae44fb>] 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: rcvd [LCP ConfReq id=0x32 <mru 1492> <auth pap> <magic 0x6aae44fb>] 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: rcvd [LCP ConfAck id=0x1 <mru 1492> <magic 0xde7aeea1>] 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: PADS: Service-Name: ''
Jan  1 00:05:45 (none) daemon.debug pppd[3814]: No auth is possible
Jan  1 00:05:14 (none) daemon.warn pppd[3814]: Timeout waiting for PADO packets
Jan  1 00:05:14 (none) daemon.err pppd[3814]: Unable to complete PPPoE Discovery
Jan  1 00:04:59 (none) daemon.notice pppd[3814]: pppd 2.4.3 started by root, uid 0
Jan  1 00:04:59 (none) daemon.info pppd[3812]: Plugin rp-pppoe.so loaded.
Jan  1 00:04:59 (none) daemon.info pppd[3601]: Terminating on signal 15
Jan  1 00:04:59 (none) daemon.info pppd[3601]: Exit.
Jan  1 00:04:51 (none) daemon.warn pppd[3601]: Timeout waiting for PADO packets
Jan  1 00:04:51 (none) daemon.err pppd[3601]: Unable to complete PPPoE Discovery
Jan  1 00:04:36 (none) daemon.notice pppd[3601]: pppd 2.4.3 started by root, uid 0
Jan  1 00:04:36 (none) daemon.info pppd[3599]: Plugin rp-pppoe.so loaded.
Jan  1 00:04:35 (none) daemon.info pppd[3385]: Terminating on signal 15
Jan  1 00:04:35 (none) daemon.info pppd[3385]: Exit.
Jan  1 00:04:24 (none) daemon.warn pppd[3385]: Timeout waiting for PADO packets
Jan  1 00:04:24 (none) daemon.err pppd[3385]: Unable to complete PPPoE Discovery
Jan  1 00:04:09 (none) daemon.notice pppd[3385]: pppd 2.4.3 started by root, uid 0
Jan  1 00:04:09 (none) daemon.info pppd[3383]: Plugin rp-pppoe.so loaded.
Jan  1 00:04:09 (none) daemon.info pppd[3233]: Terminating on signal 15
Jan  1 00:04:09 (none) daemon.info pppd[3233]: Exit.