Something

Syslog: pppd (Last 500 lines) 
Jan  1 01:08:02 (none) daemon.warn pppd[3046]: Timeout waiting for PADO packets
Jan  1 01:08:02 (none) daemon.err pppd[3046]: Unable to complete PPPoE Discovery
Jan  1 01:07:57 (none) daemon.warn pppd[2639]: Timeout waiting for PADO packets
Jan  1 01:07:57 (none) daemon.err pppd[2639]: Unable to complete PPPoE Discovery
Jan  1 01:07:51 (none) daemon.warn pppd[7005]: Timeout waiting for PADO packets
Jan  1 01:07:51 (none) daemon.err pppd[7005]: Unable to complete PPPoE Discovery
Jan  1 01:07:36 (none) daemon.notice pppd[7005]: pppd 2.4.3 started by root, uid 0
Jan  1 01:07:36 (none) daemon.info pppd[7004]: Plugin rp-pppoe.so loaded.
Jan  1 01:07:17 (none) daemon.warn pppd[3046]: Timeout waiting for PADO packets
Jan  1 01:07:17 (none) daemon.err pppd[3046]: Unable to complete PPPoE Discovery
Jan  1 01:07:12 (none) daemon.warn pppd[2639]: Timeout waiting for PADO packets
Jan  1 01:07:12 (none) daemon.err pppd[2639]: Unable to complete PPPoE Discovery
Jan  1 01:06:32 (none) daemon.warn pppd[3046]: Timeout waiting for PADO packets
Jan  1 01:06:32 (none) daemon.err pppd[3046]: Unable to complete PPPoE Discovery
Jan  1 01:06:27 (none) daemon.warn pppd[2639]: Timeout waiting for PADO packets
Jan  1 01:06:27 (none) daemon.err pppd[2639]: Unable to complete PPPoE Discovery
Jan  1 01:06:06 (none) daemon.info pppd[5810]: Plugin rp-pppoe.so loaded.
Jan  1 01:06:06 (none) daemon.err pppd[5810]: unrecognized option 'nic-ppp'
Jan  1 01:05:47 (none) daemon.notice pppd[3046]: Modem hangup
Jan  1 01:05:47 (none) daemon.notice pppd[3046]: Connection terminated.
Jan  1 01:05:44 (none) daemon.warn pppd[3046]: Couldn't increase MTU to 1500
Jan  1 01:05:44 (none) daemon.warn pppd[3046]: Couldn't increase MRU to 1500
Jan  1 01:05:44 (none) daemon.warn pppd[3046]: Couldn't increase MRU to 1500
Jan  1 01:05:44 (none) daemon.notice pppd[3046]: peer from calling number 00:90:1A:A0:A9:BC authorized
Jan  1 01:05:44 (none) daemon.info pppd[3046]: LCP terminated by peer