You are tasked with generating a list of logical and consistent relationships between objects:
- Each object should have a unique name. 
- The relationships use either the "<" (smaller than) or ">" (larger than) operator.
- The relationships must be logically consistent and acyclic (i.e., no cycles like A > B > A).
- Not all objects need to be directly related, but all relationships must be valid.

Now generate a logical and consistent list of {{num_connections}} relationships with {{num_nodes}} objects.

Output Format:
Return only a valid JSON object after the <RESPONSE> tag, structured as follows:
<RESPONSE>
{
    "relationships": [
        
        "<object> <operator> <object>",
        "<object> <operator> <object>",
        ...
        "<object> <operator> <object>"
    ]
}
</RESPONSE>