Thank you for your effort Tomer Sole and Dameon Welch Abernathy.
Yep, the best way will be to re-build all our internal tools to work with API calls and parse outputs from them...
Anyway, I already found what I was looking for
This query will show all access rules from all rulebases in classic R7X format:
select fwset from dleobjectderef_data where objclass like 'com.checkpoint.management.access.objects.access_rulebase.AccessCtrlRule';
Maybe there is also way how to show only rules in selected policy package (for sure, there is...).
These queries will show all network objects, services and time objects in classic R7X format:
select fwset from dleobjectderef_data where cpmitable like 'network_objects';
select fwset from dleobjectderef_data where cpmitable like 'services';
select fwset from dleobjectderef_data where cpmitable like 'times';
Kind regards,
Jozko Mrkvicka