You will be provided with a reference and some statements. Please determine whether each statement is 'supported', 'unsupported', or 'unknown' with respect to the reference. Please note:
First, assess whether the reference contains any valid content. If the reference contains no valid information, such as a 'page not found' message, then all statements should be considered 'unknown'.
If the reference is valid, for a given statement: if the facts or data it contains can be found entirely or partially within the reference, it is considered 'supported' (data accepts rounding); if all facts and data in the statement cannot be found in the reference, it is considered 'unsupported'.

You should return the result in a JSON list format, where each item in the list contains the statement's index and the judgment result, for example:
[
    {
        "idx": 1,
        "result": "supported"
    },
    {
        "idx": 2,
        "result": "unsupported"
    }
]

Below are the reference and statements:
<reference>
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</reference>

<statements>
1. Similarly, investigations into the illusory truth effect—the robust cognitive phenomenon whereby repeated statements are judged as significantly more truthful due to enhanced processing fluency—demonstrate that this metacognitive shortcut is strikingly pervasive across diverse epistemic profiles.
2. Multi-study psychometric evaluations indicate that individual differences in NFCC, cognitive style, and cognitive ability fail to moderate the magnitude of the repetition-induced truth effect.
3. Illusory truth effect remained entirely robust across variations in cognitive traits; dispositional NFCC showed no significant moderation of repetition-induced belief.
</statements>

Begin the assessment now. Output only the JSON list, without any conversational text or explanations.