user
Instruction
This is a table fact verification task. The goal of this task is to distinguish whether the given statement is entailed or refuted by the given table.


Table
Table Title: list of state leaders in 840s bc
Table Content:
| state | type | name | title | royal house |
| --- | --- | --- | --- | --- |
| cai | sovereign | wu | marquis | ji |
| cao | sovereign | yi | count | - |
| chen | sovereign | you | duke | - |
| chu | sovereign | xiong yan the elder | viscount | mi |
| chu | sovereign | xiong yong | viscount | mi |
| jin | sovereign | jing | marquis | ji |
| jin | sovereign | xi | marquis | ji |
| lu | sovereign | shen | duke | ji |
| qi | sovereign | wu | duke | jiang |
| qin | sovereign | marquis | marquis | ying |
| qin | sovereign | gongbo | ruler | ying |
| qin | sovereign | qin zhong | ruler | ying |
| song | sovereign | li | duke | - |
| wey | sovereign | li | marquis | - |
| yan | sovereign | hui | marquis | - |


Statement
wu be not the duke of either chen or lu


Answer Format
The final answer should be either "entailed" or "refuted" and use the following format:
```json
{
    "answer": "entailed" or "refuted"
}
```
rule
["entailed"]