| Number | Premiss |
|---|---|
| 1 | All active old Jews are healthy; |
| 2 | All indolent magistrates are unpopular; |
| 3 | All rich snuff-takers are unhealthy; |
| 4 | All sarcastic magistrates are Jews; |
| 5 | All young snuff-takers are pale; |
| 6 | All rich, old men, who are unhealthy, are sarcastic; |
| 7 | All magistrates, who are not poets, are studious; |
| 8 | All rosy magistrates are talented men; |
| 9 | All talented and popular students are rich; |
| 10 | All pale snuff-takers are unpopular; |
| 11 | All unpopular magistrates abstain from snuff; |
| 12 | All talented poets, who are active, are rich. |
| Attribute symbol | Attribute |
|---|---|
| a | active |
| b | healthy |
| c | Jews |
| d | magistrates |
| e | men |
| h | old |
| k | poets |
| l | popular |
| m | rich |
| n | rosy |
| r | sarcastic |
| s | snuff-takers |
| t | studious |
| v | talented |
| Premiss. There are no persons that are | Symbolic form of premiss |
|---|---|
| 1. active, old, Jews, not healthy, | ahcb' |
| 2. not active, magistrates, popular, | a'dl |
| 3. healthy, rich, snuff-takers, | mbs |
| 4. not Jews, magistrates, sarcastic, | rdc' |
| 5. not old, snuff-takers, rosy, | h'sn |
| 6. old, not healthy, rich, not sarcastic, men, | mb'her' |
| 7. magistrates, not poets, not studious, | dk't' |
| 8. magistrates, rosy, not talented, | ndv' |
| 9. popular, not rich, studious, talented, | vltm' |
| 10. popular, snuff-takers, not rosy, | n'sl |
| 11. magistrates, not popular, snuff-takers, | l'ds |
| 12. active, not rich, poets, talented, | vakm' |
| Entity | Appears in | Complement appears in |
|---|---|---|
| a | 1 12 | 2 |
| b | 3 | 1 6 |
| c | 1 | 4 |
| d | 2 4 7 8 11 | |
| e | 6 | |
| h | 1 6 | 5 |
| k | 12 | 7 |
| l | 2 9 10 | 11 |
| m | 3 6 | 9 12 |
| n | 5 8 | 10 |
| r | 4 | 6 |
| s | 3 5 10 11 | |
| t | 9 | 7 |
| v | 9 12 | 8 |
| 2 | barred by | 1 12 |
| 3 | barred by | 1 6 |
| 5 | barred by | 1 6 |
| 8 | barred by | 9 12 |
| 10 | barred by | 5 8 |
| 11 | barred by | 2 9 10 |
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