Text: If a set of sets is infinite or contains an infinite element, then its union is infinite. The powerset of an infinite set is infinite. Any superset of an infinite set is infinite. If an infinite set is partitioned into finitely many subsets, then at least one of them must be infinite. Any set which can be mapped onto an infinite set is infinite. The Cartesian product of an infinite set and a nonempty set is infinite. The Cartesian product of an infinite number of sets each containing at least two elements is either empty or infinite; if the axiom of choice holds, then it is infinite.

Question: is the union of two infinite sets always an infinite set?

OPTIONS:
- no
- yes
[separator]
Answer: yes

Text: Cutthroat Kitchen is a cooking show hosted by Alton Brown that aired on the Food Network from August 11, 2013 to July 19, 2017. It features four chefs competing in a three-round elimination cooking competition. The contestants face auctions in which they can purchase opportunities to sabotage one another. Each chef is given $25,000 at the start of the show; the person left standing keeps whatever money they have not spent in the auctions. The show ended on its fifteenth season in July 2017. The series shares some basic elements with other four-chef, three-round elimination-style competitions on Food Network including Chopped and Guy's Grocery Games. Numerous Cutthroat Kitchen contestants have competed on these shows.

Question: will there be new episodes of cutthroat kitchen?

OPTIONS:
- no
- yes
[separator]
Answer: no

Text: The knockout stage of the 2018 FIFA World Cup was the second and final stage of the competition, following the group stage. It began on 30 June with the round of 16 and ended on 15 July with the final match, held at the Luzhniki Stadium in Moscow. The top two teams from each group (16 in total) advanced to the knockout stage to compete in a single-elimination style tournament. A third place play-off was also played between the two losing teams of the semi-finals.

Question: is the round of 16 single elimination in world cup?

OPTIONS:
- no
- yes
[separator]
Answer: yes

Text: Within the United States, the American crocodile's distribution is limited to the southern tip of Florida, though at least two have been found as far north as the Tampa Bay area. The current US population, estimated at 2,000, represents a significant recovery from a few hundred in the 1970s.

Question: are there any crocodiles native to north america?

OPTIONS:
- no
- yes
[separator]
Answer:
yes