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 |
|---|---|---|---|---|---|---|
~((~(~((v|((v>b)&v))))>b))
|
~((v&~(((v|b)&((v&(b|v))>b)))))
| 0 | 0 | 1 | 1 |
not entailment
|
(v&((v>(v&b))>v))
|
(v|(((v&v)&v)|(b|b)))
| 1 | 0 | 1 | 0 |
entailment
|
~((~((b&v))>((b>v)>(v&v))))
|
~((~(b)&v))
| 1 | 1 | 1 | 0 |
entailment
|
(v&((v>(v&b))>v))
|
~((~(b)&v))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((b&v))>((b>v)>(v&v))))
|
(v|(((v&v)&v)|(b|b)))
| 0 | 1 | 1 | 0 |
not entailment
|
((v&b)&b)
|
~((~(b)&v))
| 1 | 0 | 1 | 0 |
entailment
|
((b|~(v))>(v&~((b&b))))
|
~(((b&b)&v))
| 1 | 1 | 1 | 0 |
entailment
|
((v&b)&b)
|
~(((b&b)&v))
| 0 | 0 | 1 | 0 |
not entailment
|
((b|~(v))>(v&~((b&b))))
|
~((~(b)&v))
| 0 | 1 | 1 | 0 |
not entailment
|
((b&b)|b)
|
((b&b)&b)
| 1 | 1 | 1 | 1 |
entailment
|
(((b|b)>~(~(b)))&~((b|v)))
|
~(((~(b)>(b&v))|v))
| 1 | 1 | 1 | 1 |
entailment
|
((b&b)|b)
|
~(((~(b)>(b&v))|v))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b|b)>~(~(b)))&~((b|v)))
|
((b&b)&b)
| 0 | 1 | 1 | 1 |
not entailment
|
(v&(b|v))
|
((v|v)&v)
| 1 | 1 | 1 | 1 |
entailment
|
~(((b|v)&(~(((b>b)>v))|(v>v))))
|
((b|(v|b))>~(b))
| 1 | 1 | 1 | 1 |
entailment
|
(v&(b|v))
|
((b|(v|b))>~(b))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((b|v)&(~(((b>b)>v))|(v>v))))
|
((v|v)&v)
| 0 | 1 | 1 | 1 |
not entailment
|
(v&v)
|
(~((((v>v)&v)&((b&v)>v)))>b)
| 1 | 0 | 0 | 0 |
entailment
|
~((v|b))
|
~((((b&b)|b)|b))
| 1 | 0 | 1 | 1 |
entailment
|
(v&v)
|
~((((b&b)|b)|b))
| 0 | 0 | 0 | 0 |
not entailment
|
~((v|b))
|
(~((((v>v)&v)&((b&v)>v)))>b)
| 0 | 0 | 1 | 0 |
not entailment
|
(b&(v|b))
|
((b>(b>(b|v)))>b)
| 1 | 0 | 1 | 0 |
entailment
|
~((~(~(v))>b))
|
(v&v)
| 1 | 1 | 1 | 1 |
entailment
|
(b&(v|b))
|
(v&v)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(~(v))>b))
|
((b>(b>(b|v)))>b)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((v|v)))
|
(((b&b)|(v&v))&((b>v)|b))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(v)>v)|b))
|
(~(~((b|(v&v))))>~(((b>v)&b)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((v|v)))
|
(~(~((b|(v&v))))>~(((b>v)&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(v)>v)|b))
|
(((b&b)|(v&v))&((b>v)|b))
| 0 | 0 | 1 | 0 |
not entailment
|
((~((v|b))|v)|(b>v))
|
(b>(b&v))
| 1 | 1 | 1 | 0 |
entailment
|
(b&(v>(v&((v|v)|b))))
|
(b|b)
| 1 | 1 | 1 | 1 |
entailment
|
((~((v|b))|v)|(b>v))
|
(b|b)
| 0 | 1 | 1 | 0 |
not entailment
|
(b&(v>(v&((v|v)|b))))
|
(b>(b&v))
| 0 | 1 | 1 | 0 |
not entailment
|
((v&(b>v))|(v&(((b|v)&v)>b)))
|
((v>v)>v)
| 1 | 1 | 1 | 1 |
entailment
|
(b&((b|(((~(v)|v)>v)|b))>(b&b)))
|
((b>v)>((b|(b>b))>b))
| 1 | 1 | 1 | 1 |
entailment
|
((v&(b>v))|(v&(((b|v)&v)>b)))
|
((b>v)>((b|(b>b))>b))
| 0 | 1 | 1 | 1 |
not entailment
|
(b&((b|(((~(v)|v)>v)|b))>(b&b)))
|
((v>v)>v)
| 0 | 1 | 1 | 1 |
not entailment
|
(u&(~((c&(c|u)))>d))
|
(u|((d>u)&~(d)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((d|(u&c))>(c|u))|(d&c)))
|
(u>d)
| 1 | 1 | 1 | 1 |
entailment
|
(u&(~((c&(c|u)))>d))
|
(u>d)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((d|(u&c))>(c|u))|(d&c)))
|
(u|((d>u)&~(d)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((((c&~(d))>(u&d))&(u|u))))
|
((((u>c)|d)>(~(~((d|d)))|u))|c)
| 1 | 1 | 1 | 0 |
entailment
|
(~((d&d))&~((u|u)))
|
(d|((d>c)&~(u)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((((c&~(d))>(u&d))&(u|u))))
|
(d|((d>c)&~(u)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((d&d))&~((u|u)))
|
((((u>c)|d)>(~(~((d|d)))|u))|c)
| 0 | 0 | 0 | 0 |
not entailment
|
(((u&u)|d)|c)
|
~(~(((d&d)|(((c&(c|~(c)))|u)&~(d)))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((u&u)|u))
|
(((u>d)>u)>c)
| 1 | 1 | 0 | 0 |
entailment
|
(((u&u)|d)|c)
|
(((u>d)>u)>c)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((u&u)|u))
|
~(~(((d&d)|(((c&(c|~(c)))|u)&~(d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&d)
|
((d|d)&((c|d)&c))
| 1 | 0 | 1 | 1 |
entailment
|
(u&u)
|
(~(u)>~(d))
| 1 | 0 | 0 | 0 |
entailment
|
(c&d)
|
(~(u)>~(d))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&u)
|
((d|d)&((c|d)&c))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(d)>u)>((c|u)>~((u&u))))>d)
|
((u|((d>(c&c))&(d>u)))>u)
| 1 | 1 | 1 | 0 |
entailment
|
~((c>d))
|
((~((u>d))|u)>(((~((u|c))>c)>c)&(c>c)))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(d)>u)>((c|u)>~((u&u))))>d)
|
((~((u>d))|u)>(((~((u|c))>c)>c)&(c>c)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((c>d))
|
((u|((d>(c&c))&(d>u)))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
(((u>(d|d))|d)&(u&~(~((c&d)))))
|
~(~(((d>~(~(d)))&u)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((u&u)|d))
|
(u>~((((u&c)&d)&~(~((d&c))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((u>(d|d))|d)&(u&~(~((c&d)))))
|
(u>~((((u&c)&d)&~(~((d&c))))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((u&u)|d))
|
~(~(((d>~(~(d)))&u)))
| 0 | 0 | 1 | 0 |
not entailment
|
(c&(c>(c&c)))
|
(c&(((u>u)|u)|d))
| 1 | 0 | 0 | 0 |
entailment
|
(u&d)
|
(((d|(c&u))&u)>(d&d))
| 1 | 0 | 0 | 0 |
entailment
|
(c&(c>(c&c)))
|
(((d|(c&u))&u)>(d&d))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&d)
|
(c&(((u>u)|u)|d))
| 0 | 0 | 0 | 0 |
not entailment
|
((u|u)|u)
|
(((d>c)>(u|c))|c)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(u)>(c&((c|c)&c))))
|
(~(u)|(~(d)&c))
| 1 | 1 | 0 | 0 |
entailment
|
((u|u)|u)
|
(~(u)|(~(d)&c))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(u)>(c&((c|c)&c))))
|
(((d>c)>(u|c))|c)
| 0 | 1 | 0 | 0 |
not entailment
|
((u|~((d|(u|c))))&d)
|
~((c&~(u)))
| 1 | 1 | 1 | 1 |
entailment
|
~(d)
|
((c|d)>(d>((u>u)>(d&c))))
| 1 | 0 | 0 | 0 |
entailment
|
((u|~((d|(u|c))))&d)
|
((c|d)>(d>((u>u)>(d&c))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(d)
|
~((c&~(u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(c)&d)
|
(u>(d&(d>d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((u&u)>c))>(c|d)))
|
(u|u)
| 1 | 1 | 1 | 1 |
entailment
|
(~(c)&d)
|
(u|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((u&u)>c))>(c|d)))
|
(u>(d&(d>d)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(u)|d)&(u|c))&((c>u)|((d|(c>c))&u)))
|
(u>d)
| 1 | 1 | 1 | 1 |
entailment
|
((d>d)>(u&c))
|
~(((c&((c|c)&(d>u)))>~(~(~(c)))))
| 1 | 0 | 1 | 1 |
entailment
|
(((~(u)|d)&(u|c))&((c>u)|((d|(c>c))&u)))
|
~(((c&((c|c)&(d>u)))>~(~(~(c)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((d>d)>(u&c))
|
(u>d)
| 0 | 1 | 1 | 0 |
not entailment
|
((c>c)>(((u|u)|u)|~(d)))
|
(~(((c&d)&d))|u)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((u|d)>d)))
|
(u>d)
| 1 | 1 | 1 | 1 |
entailment
|
((c>c)>(((u|u)|u)|~(d)))
|
(u>d)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((u|d)>d)))
|
(~(((c&d)&d))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((u>((d>u)&(u>c))))))
|
(u|((u&c)&u))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(c)|(d|u)))
|
(c&~(((c>c)&d)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((u>((d>u)&(u>c))))))
|
(c&~(((c>c)&d)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(c)|(d|u)))
|
(u|((u&c)&u))
| 0 | 1 | 1 | 0 |
not entailment
|
((b&y)|y)
|
(l>((c|y)|~((((c>b)&l)>l))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(b)|(b>c))&((l|(c>y))>~(b)))&l)
|
~((~((~(b)|(c&b)))&~((c&y))))
| 1 | 1 | 1 | 0 |
entailment
|
((b&y)|y)
|
~((~((~(b)|(c&b)))&~((c&y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(b)|(b>c))&((l|(c>y))>~(b)))&l)
|
(l>((c|y)|~((((c>b)&l)>l))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((((b&c)|~((l&l)))>b)|(y>y))>c)
|
(~(l)|(c&l))
| 1 | 1 | 1 | 0 |
entailment
|
((l&(b>l))|~((b|(l>c))))
|
((c&l)|l)
| 1 | 1 | 1 | 0 |
entailment
|
(((((b&c)|~((l&l)))>b)|(y>y))>c)
|
((c&l)|l)
| 0 | 1 | 1 | 0 |
not entailment
|
((l&(b>l))|~((b|(l>c))))
|
(~(l)|(c&l))
| 0 | 1 | 1 | 0 |
not entailment
|
(((c&c)|b)|c)
|
(((y|(b&(~((((b>b)|y)>b))>y)))|l)|c)
| 1 | 0 | 0 | 0 |
entailment
|
~(b)
|
((~((l|~(y)))|((b&((y|l)>b))>y))|c)
| 1 | 0 | 0 | 0 |
entailment
|
(((c&c)|b)|c)
|
((~((l|~(y)))|((b&((y|l)>b))>y))|c)
| 0 | 0 | 0 | 0 |
not entailment
|
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