A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
|---|---|---|---|---|---|---|
~((~((d>d))|(l|d)))
|
((d>e)|(e&((l&l)&(i|i))))
| 1 | 0 | 0 | 0 |
entailment
|
(i&~(~(d)))
|
((~(l)|(e>(i&d)))>~((d>~(i))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((d>d))|(l|d)))
|
((~(l)|(e>(i&d)))>~((d>~(i))))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&~(~(d)))
|
((d>e)|(e&((l&l)&(i|i))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(k)&(x&(k|x)))
|
(e|(k>d))
| 1 | 1 | 0 | 0 |
entailment
|
(((j>e)>(((u|e)|u)|d))&j)
|
(k|j)
| 1 | 1 | 0 | 0 |
entailment
|
(~(k)&(x&(k|x)))
|
(k|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(((j>e)>(((u|e)|u)|d))&j)
|
(e|(k>d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((~(e)|k)>(k&u))>(k>~(d)))|(x&k)))
|
(((d>k)|(x|u))|x)
| 1 | 1 | 1 | 0 |
entailment
|
(j|(e|~(((u&e)>(x>((d|e)&u))))))
|
(((j&d)|~((j|e)))>(~(d)|j))
| 1 | 1 | 1 | 0 |
entailment
|
~(((((~(e)|k)>(k&u))>(k>~(d)))|(x&k)))
|
(((j&d)|~((j|e)))>(~(d)|j))
| 0 | 1 | 0 | 0 |
not entailment
|
(j|(e|~(((u&e)>(x>((d|e)&u))))))
|
(((d>k)|(x|u))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((j|(u&(d&e)))))&((k>k)>x))
|
(~(~(j))|x)
| 1 | 1 | 1 | 1 |
entailment
|
((((d&k)>(j&d))>e)&~(k))
|
(e|((k|k)|(u|u)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((j|(u&(d&e)))))&((k>k)>x))
|
(e|((k|k)|(u|u)))
| 0 | 1 | 1 | 1 |
not entailment
|
((((d&k)>(j&d))>e)&~(k))
|
(~(~(j))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
((x&u)|~(~(((e|u)&u))))
|
(~((e>j))>u)
| 1 | 1 | 0 | 0 |
entailment
|
((k&d)|((j&x)&u))
|
(d|((~(j)>(d&~((u&d))))&(k>(x|k))))
| 1 | 0 | 1 | 0 |
entailment
|
((x&u)|~(~(((e|u)&u))))
|
(d|((~(j)>(d&~((u&d))))&(k>(x|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&d)|((j&x)&u))
|
(~((e>j))>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(x)
|
(~((k|(j&k)))>((j|j)|(x>(u&u))))
| 1 | 0 | 0 | 0 |
entailment
|
~(u)
|
(u>(k&(k|e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(x)
|
(u>(k&(k|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(u)
|
(~((k|(j&k)))>((j|j)|(x>(u&u))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((((d>k)|e)&u)))&j)
|
((x&k)>u)
| 1 | 1 | 0 | 0 |
entailment
|
~(d)
|
(((x&~(d))|(k>e))|~((~((x>e))|(x|x))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((((d>k)|e)&u)))&j)
|
(((x&~(d))|(k>e))|~((~((x>e))|(x|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(d)
|
((x&k)>u)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((u>e))>d)|d))
|
~((((k>j)&u)&~(~((e&u)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((j|(j&x))&k)&((e|j)|(x|x)))|(e&k))
|
(d|k)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((u>e))>d)|d))
|
(d|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((((j|(j&x))&k)&((e|j)|(x|x)))|(e&k))
|
~((((k>j)&u)&~(~((e&u)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(e))&e)
|
(u>((x>e)|j))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((((x|d)>e)&~(~((x|k)))))>d))
|
~((~((~(x)&k))&(d|(e&(k&((j|e)|j))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(e))&e)
|
~((~((~(x)&k))&(d|(e&(k&((j|e)|j))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((((x|d)>e)&~(~((x|k)))))>d))
|
(u>((x>e)|j))
| 0 | 1 | 0 | 0 |
not entailment
|
((((~(k)|(u|(d>j)))&x)>((j&u)&e))&(k&j))
|
((((k|e)&(d&k))|(k&d))>j)
| 1 | 1 | 1 | 0 |
entailment
|
(d&~(~((j>u))))
|
(d|d)
| 1 | 1 | 1 | 1 |
entailment
|
((((~(k)|(u|(d>j)))&x)>((j&u)&e))&(k&j))
|
(d|d)
| 0 | 1 | 1 | 1 |
not entailment
|
(d&~(~((j>u))))
|
((((k|e)&(d&k))|(k&d))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(d)&(j|(x>~(e))))&x)
|
((((k>(x>j))|k)>((k&(d&~(x)))|d))>(k|e))
| 1 | 0 | 0 | 0 |
entailment
|
(j&(k|(~((j>u))>~(k))))
|
((e>(k|e))&j)
| 1 | 1 | 0 | 0 |
entailment
|
((~(d)&(j|(x>~(e))))&x)
|
((e>(k|e))&j)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&(k|(~((j>u))>~(k))))
|
((((k>(x>j))|k)>((k&(d&~(x)))|d))>(k|e))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k|e)|~(x))&(((u&j)>k)&k))
|
(k|~(d))
| 1 | 1 | 0 | 0 |
entailment
|
(j&e)
|
~(~(~(~(((k>(j|(x>j)))|(j&k))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((k|e)|~(x))&(((u&j)>k)&k))
|
~(~(~(~(((k>(j|(x>j)))|(j&k))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(j&e)
|
(k|~(d))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(k>(((x&e)&(~(e)&((k&d)&e)))|j)))
|
((j|(e>x))|k)
| 1 | 1 | 1 | 1 |
entailment
|
(d|(d&(k>d)))
|
((((d|d)|(u|x))|(~((u|d))>(~(u)&e)))|x)
| 1 | 0 | 0 | 0 |
entailment
|
(k&(k>(((x&e)&(~(e)&((k&d)&e)))|j)))
|
((((d|d)|(u|x))|(~((u|d))>(~(u)&e)))|x)
| 0 | 0 | 0 | 0 |
not entailment
|
(d|(d&(k>d)))
|
((j|(e>x))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((k>j)&x)
|
((d>(e|(k>j)))|((d&d)&~((j|(k>d)))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&((j|k)>u))
|
~(~((x>((~(~(d))|j)>u))))
| 1 | 0 | 0 | 0 |
entailment
|
((k>j)&x)
|
~(~((x>((~(~(d))|j)>u))))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&((j|k)>u))
|
((d>(e|(k>j)))|((d&d)&~((j|(k>d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(d)>(d|d)))&((u|(k>k))|(j&(u&u))))
|
(((e|x)>(e|j))|~(((x&u)&d)))
| 1 | 1 | 0 | 0 |
entailment
|
~((k|j))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(d)>(d|d)))&((u|(k>k))|(j&(u&u))))
|
~(k)
| 0 | 1 | 1 | 1 |
not entailment
|
~((k|j))
|
(((e|x)>(e|j))|~(((x&u)&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x|((~(u)|(x|u))>u)))
|
((e|u)|(x>(x&k)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((d|(x&(x|e)))>(j|d)))
|
(~(((j|~((~(d)|k)))&(d|d)))|(e&u))
| 1 | 0 | 0 | 0 |
entailment
|
~((x|((~(u)|(x|u))>u)))
|
(~(((j|~((~(d)|k)))&(d|d)))|(e&u))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((d|(x&(x|e)))>(j|d)))
|
((e|u)|(x>(x&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(e)&(d|(k>u)))
|
~((x&e))
| 1 | 1 | 0 | 0 |
entailment
|
(~((((d|~(x))&d)&e))>((u>x)&e))
|
((k>(j|e))|x)
| 1 | 1 | 0 | 0 |
entailment
|
(~(e)&(d|(k>u)))
|
((k>(j|e))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((d|~(x))&d)&e))>((u>x)&e))
|
~((x&e))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(u)|(d&(~(~((e|x)))>d)))&(u&(e>j)))
|
~(~((((k|u)&d)&u)))
| 1 | 1 | 0 | 0 |
entailment
|
((e&j)&(~((x>(~((d|e))&((x&d)&u))))&u))
|
((u>x)|(~(e)&~((u>j))))
| 1 | 1 | 1 | 0 |
entailment
|
((~(u)|(d&(~(~((e|x)))>d)))&(u&(e>j)))
|
((u>x)|(~(e)&~((u>j))))
| 0 | 1 | 1 | 0 |
not entailment
|
((e&j)&(~((x>(~((d|e))&((x&d)&u))))&u))
|
~(~((((k|u)&d)&u)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e|x)&(e>~(~((d>(d&d)))))))
|
(~((~(u)>u))>(x>u))
| 1 | 1 | 0 | 0 |
entailment
|
((((~(u)|k)>~(j))|(k>~((j|~(d)))))&x)
|
(j>x)
| 1 | 1 | 1 | 1 |
entailment
|
~(((e|x)&(e>~(~((d>(d&d)))))))
|
(j>x)
| 0 | 1 | 0 | 0 |
not entailment
|
((((~(u)|k)>~(j))|(k>~((j|~(d)))))&x)
|
(~((~(u)>u))>(x>u))
| 0 | 1 | 1 | 0 |
not entailment
|
((j|~((k|d)))&((k|(k|d))&x))
|
((e&k)>j)
| 1 | 1 | 0 | 0 |
entailment
|
(u>~(((d&(~(u)&~(u)))>x)))
|
~((((x>e)&((x|j)&u))&((j>d)|j)))
| 1 | 0 | 0 | 0 |
entailment
|
((j|~((k|d)))&((k|(k|d))&x))
|
~((((x>e)&((x|j)&u))&((j>d)|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u>~(((d&(~(u)&~(u)))>x)))
|
((e&k)>j)
| 0 | 1 | 0 | 0 |
not entailment
|
(u&~(~((x&k))))
|
(u|k)
| 1 | 1 | 1 | 1 |
entailment
|
~((((e>u)|(x>~(((e&x)|u))))|(e&u)))
|
((~((x|(e>d)))>(e|(x>d)))&(j|~(u)))
| 1 | 1 | 0 | 0 |
entailment
|
(u&~(~((x&k))))
|
((~((x|(e>d)))>(e|(x>d)))&(j|~(u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((e>u)|(x>~(((e&x)|u))))|(e&u)))
|
(u|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(e)>(~(e)&~(((k>(j|d))|k))))
|
((e|((j>(k>(e&x)))&~(j)))|(((u>k)>x)&j))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((u|x)|d))|~(d)))
|
(k>((d&k)|(~((d|d))&(x|j))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(e)>(~(e)&~(((k>(j|d))|k))))
|
(k>((d&k)|(~((d|d))&(x|j))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((u|x)|d))|~(d)))
|
((e|((j>(k>(e&x)))&~(j)))|(((u>k)>x)&j))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&u)
|
~(~(~(~((~(u)>(~(x)&(d|e)))))))
| 1 | 0 | 0 | 0 |
entailment
|
((e&x)&(~(((x>k)|e))>(e|u)))
|
(~(e)>~((((j&e)>e)|(u&j))))
| 1 | 1 | 0 | 0 |
entailment
|
(k&u)
|
(~(e)>~((((j&e)>e)|(u&j))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&x)&(~(((x>k)|e))>(e|u)))
|
~(~(~(~((~(u)>(~(x)&(d|e)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((f>r)|~(((u>z)|(r&r)))))))
|
(((u&r)>z)&((f|z)>(r>u)))
| 1 | 1 | 1 | 0 |
entailment
|
(r&((r>(f&f))>(z&(z&u))))
|
(~(((r|f)&(f&z)))|r)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~(((f>r)|~(((u>z)|(r&r)))))))
|
(~(((r|f)&(f&z)))|r)
| 0 | 1 | 1 | 0 |
not entailment
|
(r&((r>(f&f))>(z&(z&u))))
|
(((u&r)>z)&((f|z)>(r>u)))
| 0 | 1 | 1 | 0 |
not entailment
|
((r>z)&(u&(u>f)))
|
(((r&(f&(z>r)))|(u|f))>u)
| 1 | 0 | 1 | 0 |
entailment
|
~((r>u))
|
(r&((r&(((u&f)>(f&f))>(~(u)|(r>f))))|r))
| 1 | 0 | 0 | 0 |
entailment
|
((r>z)&(u&(u>f)))
|
(r&((r&(((u&f)>(f&f))>(~(u)|(r>f))))|r))
| 0 | 0 | 1 | 0 |
not entailment
|
~((r>u))
|
(((r&(f&(z>r)))|(u|f))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
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