Solution: Phileas Fogg is a character in Jules Verne's Around the World in Eighty Days. Phileas Fogg attempts to circumnavigate the globe in 80 days. Pope John Paul I reigned for only 33 days.
Answer: yes
Question: Phileas Fogg's around the world would be difficult to achieve during Pope John Paul I's reign?
Reasoning & answer: Shirley Bassey recorded the song Diamonds are Forever in 1971,. Over time, diamonds degrade and turn into graphite. Graphite is the same chemical composition found in pencils.
no
Question: Is the title of Shirley Bassey's 1971 diamond song a true statement?
CoT and answer: Astana Arena is a 30,000 seat football stadium in Kazakhstan. Billy Joel, who has performed concerts all over the world, has never been to Kazakhstan.
no
Do reverse engineering and find the question: Has Billy Joel sold out Astana Arena?
Solution: Queen Elizabeth I was from English parents. Reza Shah was Mazanderani. Mazanderani people are indigenous people of Iran. Iran is nearly 4,000 miles from England.
Answer: no
Question: Could Reza Shah be related to Queen Elizabeth I?
Reasoning & answer: Menstruation can occur in any human being who has a uterus and vagina. People who are born with a vagina may transition socially and/or medically to being male. Someone with a vagina who has transitioned to being male is a man.
yes
Question: Are there people who are men who experience menstruation?
CoT and answer: A game engine is the software used to develop video games. A fuel injector is part of an automotive engine.
no
Do reverse engineering and find the question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Does a game engine have a fuel injector?