Actual requirement contact name shows only not related partner.

The below domain is not working job_ids is one2many field in res.partner.contact

'contact_id' : fields.many2one('res.partner.contact', 'Contact', domain="[('job_ids','=',[])]"),

See example :

display_record is a  boolean field in one2many.

Setting  attrs in all fields.

<tree>
    <field name="field_1" attrs="{'invisible': [('display_record','=',False)]}"/>
    <field name="field_2" attrs="{'invisible': [('display_record','=',False)]}"/>
    <field name="field_3" attrs="{'invisible': [('display_record','=',False)]}"/>
    <field name="field_4" attrs="{'invisible': [('display_record','=',False)]}"/>
    <field name="field_5" attrs="{'invisible': [('display_record','=',False)]}"/>
    <field name="dispaly_record" invisible="1"/>
</tree>

If the value of dispaly_record  is False, the entire row will be invisible. 

To filter in many2one, one2many and many2many, you have to directly use the fields of the related object.

For exemple:

'job_ids': fields.on2many(
         ...
         domain="[('contact_id','=',False)]")

Change your second domain as:

domain="[('job_ids.id.contact_id','=',False)]"