Base tables that have no uniqueness requirement for rows whatsoever

Copy SQL

WITH unique_indexes AS (SELECT 
  n.nspname AS sch,
  c2.relname AS tbl
FROM 
  pg_catalog.pg_class AS c INNER JOIN pg_catalog.pg_index AS i ON i.indexrelid = c.oid
  INNER JOIN pg_catalog.pg_class AS c2  ON i.indrelid = c2.oid
  INNER JOIN pg_catalog.pg_namespace AS n ON c.relnamespace = n.oid
  INNER JOIN pg_catalog.pg_authid AS u ON  n.nspowner = u.oid
WHERE c.relkind = 'i'
AND i.indisunique=TRUE
AND (n.nspname = 'public'
	 OR u.rolname <> 'postgres'))
SELECT A.table_schema, A.table_name 
FROM INFORMATION_SCHEMA.tables A
INNER JOIN INFORMATION_SCHEMA.schemata B
ON A.table_schema=B.schema_name
WHERE A.table_type='BASE TABLE'
AND (A.table_schema = 'public'
OR B.schema_owner<>'postgres')
AND (A.table_schema, A.table_name) NOT IN (SELECT sch, tbl
FROM unique_indexes)
ORDER BY A.table_schema, A.table_name;