Getting spammed with those errors:
mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-main-2019-07-20_120000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-main-2019-07-20_130000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-main-2019-07-20_140000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_110000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_120000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_130000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_140000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_150000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_160000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_170000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_180000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_190000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_200000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_210000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_220000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-19_230000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_000000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_010000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_020000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_030000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_040000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_050000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_060000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_070000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_080000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_090000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_100000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_110000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_120000.log.xz': No space left on device mv: cannot create regular file '/srv/remote-backups/postgres/logs/postgresql-11-secondary-2019-07-20_130000.log.xz': No space left on device
Seek and destroy the root cause.