Q: Yes / no, is the following a verifiable fact?
"The legacy of Zoroaster inspired future philosophers, such as Friedrich Nietzsche."
A: yes
How to explain the answer: Nietzsche's Thus Spake Zarathustra is inspired partly by the legacy of Zoroaster.

Q: Is the following sentence factually correct?
"The modern day image of Santa Claus commonly celebrated was created by coca-cola."
Options:
- yes
- no
A: no
How to explain the answer: Although Coca Cola does advertise this fact about Santa Claus they include how they have no evidence to support it as well.

Q: Is the following a factual statement?
"Ada Lovelace cured uterine cancer in her lifetime."
Options:
- yes
- no
A: no
How to explain the answer: If she had cured uterine cancer, she would not have died from it.