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: diezel
Table Content:
| model | poweramp | dimensions | mass | form factor (s) | output |
| --- | --- | --- | --- | --- | --- |
| vh4 | mono , 4 tubes  | 29  11  11 in 74  28  28 cm | 50 lb (23 kg) | head | 90 - 160w |
| vh4s | stereo , 4 tubes | 29  11  11 in 74  28  28 cm | 50 lb (23 kg) | head | 2  50w |
| herbert | mono , 6 tubes | 29  11  11 in 74  28  28 cm | 60 lb (27 kg) | head | 180w |
| hagen | mono , 4 tubes | 29  11  11 in 74  28  28 cm | 53 lb (24 kg) | head | 100w |
| d - moll | mono , 4 tubes | 23  12  11 in 59  29 , 5  27 cm | 51 lb (23 kg) | head | 100w |
| schmidt | mono , 2 tubes | 20  12  12 in 50  30  31 cm | 48 , 5 lb (22 kg) | head | 15 - 30w |
| lucy (bass amp) | up to 8  el34 500 watts rms | tba | tba | head | tba |


Statement
the amp dimension of the herbet be the same as the hagen


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