Validation rule

I'm trying to create a validation rule that says: if opportunity record type is consignment and the opportunity type is not equal to Private Sale or Post Sale then a consignment ID is required. I'm getting the following syntax error: "Field Type is a picklist field. Picklist fields are only supported in certain functions"

This is what I have so far:

RecordTypeName__c = "Consignment"

&&

OR(ISPICKVAL(Type <> "Private Sales"),

OR(ISPICKVAL(Type <> "Post Sale")))

&&

ISCHANGED(StageName)

&&

OR(ISPICKVAL(StageName, 'Consigned'), 

OR(ISPICKVAL(StageName, "Re-Offered")))

&&

OR(Consignments_ID__c = 0, ISBLANK(Consignments_ID__c))