guilty_or_location_deduction - Absolute-Beginner Level: core concept mastery guilty_or_location_deduction ABSOLUTE BEGINNER

Step 1: If Kiran is truth-teller, then:
- Anita took the gold coin (from statement 1).
- Exactly one person took the item (from statement 4).
- Anita says 'I did not take it' - FALSE, so Anita is liar (consistent).
- Ravi says 'Kiran is truth-teller' - TRUE, so Ravi is truth-teller.
This gives: Kiran=T, Anita=L, Ravi=T with Anita as thief.

Step 2: If Kiran is liar, then:
- Anita did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Anita didn't take it, someone else must have.
- Ravi says 'Kiran is truth-teller' - FALSE, so Ravi is liar.
- Anita says 'I did not take it' - TRUE, so Anita is truth-teller.
- This gives Kiran=L, Anita=T, Ravi=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Anita took the gold coin.

Step 1: If Meera is truth-teller, then:
- Anita took the emerald (from statement 1).
- Exactly one person took the item (from statement 4).
- Anita says 'I did not take it' - FALSE, so Anita is liar (consistent).
- Neha says 'Meera is truth-teller' - TRUE, so Neha is truth-teller.
This gives: Meera=T, Anita=L, Neha=T with Anita as thief.

Step 2: If Meera is liar, then:
- Anita did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Anita didn't take it, someone else must have.
- Neha says 'Meera is truth-teller' - FALSE, so Neha is liar.
- Anita says 'I did not take it' - TRUE, so Anita is truth-teller.
- This gives Meera=L, Anita=T, Neha=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Anita took the emerald.

Step 1: If Amit is truth-teller, then:
- Farhan took the artifact (from statement 1).
- Exactly one person took the item (from statement 4).
- Farhan says 'I did not take it' - FALSE, so Farhan is liar (consistent).
- Kiran says 'Amit is truth-teller' - TRUE, so Kiran is truth-teller.
This gives: Amit=T, Farhan=L, Kiran=T with Farhan as thief.

Step 2: If Amit is liar, then:
- Farhan did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Farhan didn't take it, someone else must have.
- Kiran says 'Amit is truth-teller' - FALSE, so Kiran is liar.
- Farhan says 'I did not take it' - TRUE, so Farhan is truth-teller.
- This gives Amit=L, Farhan=T, Kiran=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Farhan took the artifact.

Step 1: If Sunil is truth-teller, then:
- Pooja took the artifact (from statement 1).
- Exactly one person took the item (from statement 4).
- Pooja says 'I did not take it' - FALSE, so Pooja is liar (consistent).
- Kiran says 'Sunil is truth-teller' - TRUE, so Kiran is truth-teller.
This gives: Sunil=T, Pooja=L, Kiran=T with Pooja as thief.

Step 2: If Sunil is liar, then:
- Pooja did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Pooja didn't take it, someone else must have.
- Kiran says 'Sunil is truth-teller' - FALSE, so Kiran is liar.
- Pooja says 'I did not take it' - TRUE, so Pooja is truth-teller.
- This gives Sunil=L, Pooja=T, Kiran=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Pooja took the artifact.

Step 1: If Sanjay is truth-teller, then:
- Deepa took the bronze medal (from statement 1).
- Exactly one person took the item (from statement 4).
- Deepa says 'I did not take it' - FALSE, so Deepa is liar (consistent).
- Manoj says 'Sanjay is truth-teller' - TRUE, so Manoj is truth-teller.
This gives: Sanjay=T, Deepa=L, Manoj=T with Deepa as thief.

Step 2: If Sanjay is liar, then:
- Deepa did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Deepa didn't take it, someone else must have.
- Manoj says 'Sanjay is truth-teller' - FALSE, so Manoj is liar.
- Deepa says 'I did not take it' - TRUE, so Deepa is truth-teller.
- This gives Sanjay=L, Deepa=T, Manoj=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Deepa took the bronze medal.

Step 1: If Divya is truth-teller, then:
- Kiran took the gold coin (from statement 1).
- Exactly one person took the item (from statement 4).
- Kiran says 'I did not take it' - FALSE, so Kiran is liar (consistent).
- Gaurav says 'Divya is truth-teller' - TRUE, so Gaurav is truth-teller.
This gives: Divya=T, Kiran=L, Gaurav=T with Kiran as thief.

Step 2: If Divya is liar, then:
- Kiran did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Kiran didn't take it, someone else must have.
- Gaurav says 'Divya is truth-teller' - FALSE, so Gaurav is liar.
- Kiran says 'I did not take it' - TRUE, so Kiran is truth-teller.
- This gives Divya=L, Kiran=T, Gaurav=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Kiran took the gold coin.

Step 1: If Priya is truth-teller, then:
- Manoj took the diamond (from statement 1).
- Exactly one person took the item (from statement 4).
- Manoj says 'I did not take it' - FALSE, so Manoj is liar (consistent).
- Sunil says 'Priya is truth-teller' - TRUE, so Sunil is truth-teller.
This gives: Priya=T, Manoj=L, Sunil=T with Manoj as thief.

Step 2: If Priya is liar, then:
- Manoj did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Manoj didn't take it, someone else must have.
- Sunil says 'Priya is truth-teller' - FALSE, so Sunil is liar.
- Manoj says 'I did not take it' - TRUE, so Manoj is truth-teller.
- This gives Priya=L, Manoj=T, Sunil=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Manoj took the diamond.

Step 1: If Kiran is truth-teller, then:
- Harsha took the bronze medal (from statement 1).
- Exactly one person took the item (from statement 4).
- Harsha says 'I did not take it' - FALSE, so Harsha is liar (consistent).
- Amit says 'Kiran is truth-teller' - TRUE, so Amit is truth-teller.
This gives: Kiran=T, Harsha=L, Amit=T with Harsha as thief.

Step 2: If Kiran is liar, then:
- Harsha did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Harsha didn't take it, someone else must have.
- Amit says 'Kiran is truth-teller' - FALSE, so Amit is liar.
- Harsha says 'I did not take it' - TRUE, so Harsha is truth-teller.
- This gives Kiran=L, Harsha=T, Amit=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Harsha took the bronze medal.

Step 1: If Manoj is truth-teller, then:
- Rohan took the emerald (from statement 1).
- Exactly one person took the item (from statement 4).
- Rohan says 'I did not take it' - FALSE, so Rohan is liar (consistent).
- Divya says 'Manoj is truth-teller' - TRUE, so Divya is truth-teller.
This gives: Manoj=T, Rohan=L, Divya=T with Rohan as thief.

Step 2: If Manoj is liar, then:
- Rohan did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Rohan didn't take it, someone else must have.
- Divya says 'Manoj is truth-teller' - FALSE, so Divya is liar.
- Rohan says 'I did not take it' - TRUE, so Rohan is truth-teller.
- This gives Manoj=L, Rohan=T, Divya=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Rohan took the emerald.

Step 1: If Meera is truth-teller, then:
- Manoj took the crystal (from statement 1).
- Exactly one person took the item (from statement 4).
- Manoj says 'I did not take it' - FALSE, so Manoj is liar (consistent).
- Gaurav says 'Meera is truth-teller' - TRUE, so Gaurav is truth-teller.
This gives: Meera=T, Manoj=L, Gaurav=T with Manoj as thief.

Step 2: If Meera is liar, then:
- Manoj did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Manoj didn't take it, someone else must have.
- Gaurav says 'Meera is truth-teller' - FALSE, so Gaurav is liar.
- Manoj says 'I did not take it' - TRUE, so Manoj is truth-teller.
- This gives Meera=L, Manoj=T, Gaurav=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Manoj took the crystal.

Step 1: If Farhan is truth-teller, then:
- Sanjay took the pearl (from statement 1).
- Exactly one person took the item (from statement 4).
- Sanjay says 'I did not take it' - FALSE, so Sanjay is liar (consistent).
- Divya says 'Farhan is truth-teller' - TRUE, so Divya is truth-teller.
This gives: Farhan=T, Sanjay=L, Divya=T with Sanjay as thief.

Step 2: If Farhan is liar, then:
- Sanjay did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Sanjay didn't take it, someone else must have.
- Divya says 'Farhan is truth-teller' - FALSE, so Divya is liar.
- Sanjay says 'I did not take it' - TRUE, so Sanjay is truth-teller.
- This gives Farhan=L, Sanjay=T, Divya=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Sanjay took the pearl.

Step 1: If Sanjay is truth-teller, then:
- Pooja took the ruby (from statement 1).
- Exactly one person took the item (from statement 4).
- Pooja says 'I did not take it' - FALSE, so Pooja is liar (consistent).
- Ravi says 'Sanjay is truth-teller' - TRUE, so Ravi is truth-teller.
This gives: Sanjay=T, Pooja=L, Ravi=T with Pooja as thief.

Step 2: If Sanjay is liar, then:
- Pooja did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Pooja didn't take it, someone else must have.
- Ravi says 'Sanjay is truth-teller' - FALSE, so Ravi is liar.
- Pooja says 'I did not take it' - TRUE, so Pooja is truth-teller.
- This gives Sanjay=L, Pooja=T, Ravi=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Pooja took the ruby.

Step 1: If Leena is truth-teller, then:
- Farhan took the silver ring (from statement 1).
- Exactly one person took the item (from statement 4).
- Farhan says 'I did not take it' - FALSE, so Farhan is liar (consistent).
- Divya says 'Leena is truth-teller' - TRUE, so Divya is truth-teller.
This gives: Leena=T, Farhan=L, Divya=T with Farhan as thief.

Step 2: If Leena is liar, then:
- Farhan did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Farhan didn't take it, someone else must have.
- Divya says 'Leena is truth-teller' - FALSE, so Divya is liar.
- Farhan says 'I did not take it' - TRUE, so Farhan is truth-teller.
- This gives Leena=L, Farhan=T, Divya=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Farhan took the silver ring.

Step 1: If Priya is truth-teller, then:
- Sanjay took the pearl (from statement 1).
- Exactly one person took the item (from statement 4).
- Sanjay says 'I did not take it' - FALSE, so Sanjay is liar (consistent).
- Meera says 'Priya is truth-teller' - TRUE, so Meera is truth-teller.
This gives: Priya=T, Sanjay=L, Meera=T with Sanjay as thief.

Step 2: If Priya is liar, then:
- Sanjay did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Sanjay didn't take it, someone else must have.
- Meera says 'Priya is truth-teller' - FALSE, so Meera is liar.
- Sanjay says 'I did not take it' - TRUE, so Sanjay is truth-teller.
- This gives Priya=L, Sanjay=T, Meera=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Sanjay took the pearl.

Step 1: If Anita is truth-teller, then:
- Rohan took the ruby (from statement 1).
- Exactly one person took the item (from statement 4).
- Rohan says 'I did not take it' - FALSE, so Rohan is liar (consistent).
- Amit says 'Anita is truth-teller' - TRUE, so Amit is truth-teller.
This gives: Anita=T, Rohan=L, Amit=T with Rohan as thief.

Step 2: If Anita is liar, then:
- Rohan did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Rohan didn't take it, someone else must have.
- Amit says 'Anita is truth-teller' - FALSE, so Amit is liar.
- Rohan says 'I did not take it' - TRUE, so Rohan is truth-teller.
- This gives Anita=L, Rohan=T, Amit=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Rohan took the ruby.

Step 1: If Gaurav is truth-teller, then:
- Pooja took the crystal (from statement 1).
- Exactly one person took the item (from statement 4).
- Pooja says 'I did not take it' - FALSE, so Pooja is liar (consistent).
- Kiran says 'Gaurav is truth-teller' - TRUE, so Kiran is truth-teller.
This gives: Gaurav=T, Pooja=L, Kiran=T with Pooja as thief.

Step 2: If Gaurav is liar, then:
- Pooja did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Pooja didn't take it, someone else must have.
- Kiran says 'Gaurav is truth-teller' - FALSE, so Kiran is liar.
- Pooja says 'I did not take it' - TRUE, so Pooja is truth-teller.
- This gives Gaurav=L, Pooja=T, Kiran=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Pooja took the crystal.

Step 1: If Amit is truth-teller, then:
- Anita took the artifact (from statement 1).
- Exactly one person took the item (from statement 4).
- Anita says 'I did not take it' - FALSE, so Anita is liar (consistent).
- Meera says 'Amit is truth-teller' - TRUE, so Meera is truth-teller.
This gives: Amit=T, Anita=L, Meera=T with Anita as thief.

Step 2: If Amit is liar, then:
- Anita did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Anita didn't take it, someone else must have.
- Meera says 'Amit is truth-teller' - FALSE, so Meera is liar.
- Anita says 'I did not take it' - TRUE, so Anita is truth-teller.
- This gives Amit=L, Anita=T, Meera=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Anita took the artifact.

Step 1: If Neha is truth-teller, then:
- Vikram took the emerald (from statement 1).
- Exactly one person took the item (from statement 4).
- Vikram says 'I did not take it' - FALSE, so Vikram is liar (consistent).
- Deepa says 'Neha is truth-teller' - TRUE, so Deepa is truth-teller.
This gives: Neha=T, Vikram=L, Deepa=T with Vikram as thief.

Step 2: If Neha is liar, then:
- Vikram did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Vikram didn't take it, someone else must have.
- Deepa says 'Neha is truth-teller' - FALSE, so Deepa is liar.
- Vikram says 'I did not take it' - TRUE, so Vikram is truth-teller.
- This gives Neha=L, Vikram=T, Deepa=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Vikram took the emerald.

Step 1: If Kiran is truth-teller, then:
- Anita took the pearl (from statement 1).
- Exactly one person took the item (from statement 4).
- Anita says 'I did not take it' - FALSE, so Anita is liar (consistent).
- Sanjay says 'Kiran is truth-teller' - TRUE, so Sanjay is truth-teller.
This gives: Kiran=T, Anita=L, Sanjay=T with Anita as thief.

Step 2: If Kiran is liar, then:
- Anita did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Anita didn't take it, someone else must have.
- Sanjay says 'Kiran is truth-teller' - FALSE, so Sanjay is liar.
- Anita says 'I did not take it' - TRUE, so Anita is truth-teller.
- This gives Kiran=L, Anita=T, Sanjay=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Anita took the pearl.

Step 1: If Ravi is truth-teller, then:
- Amit took the sapphire (from statement 1).
- Exactly one person took the item (from statement 4).
- Amit says 'I did not take it' - FALSE, so Amit is liar (consistent).
- Deepa says 'Ravi is truth-teller' - TRUE, so Deepa is truth-teller.
This gives: Ravi=T, Amit=L, Deepa=T with Amit as thief.

Step 2: If Ravi is liar, then:
- Amit did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Amit didn't take it, someone else must have.
- Deepa says 'Ravi is truth-teller' - FALSE, so Deepa is liar.
- Amit says 'I did not take it' - TRUE, so Amit is truth-teller.
- This gives Ravi=L, Amit=T, Deepa=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Amit took the sapphire.