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 |
|---|---|---|---|---|---|---|
(~((x&c))&((c>c)&y))
|
(((x|y)>(y|(~(x)|c)))|((c>(c&y))&c))
| 1 | 0 | 1 | 0 |
entailment
|
(x&x)
|
(y>(~((~(c)|x))|x))
| 1 | 0 | 0 | 0 |
entailment
|
(~((x&c))&((c>c)&y))
|
(y>(~((~(c)|x))|x))
| 0 | 1 | 1 | 0 |
not entailment
|
(x&x)
|
(((x|y)>(y|(~(x)|c)))|((c>(c&y))&c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(~(y))&c)|~(c)))
|
((x|(y|c))|(~(~((c|(c&~(y)))))&c))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(x))>~((x&c)))
|
((((y&x)|(c|y))>~((x>x)))|((c>c)&(x>y)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(~(y))&c)|~(c)))
|
((((y&x)|(c|y))>~((x>x)))|((c>c)&(x>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(x))>~((x&c)))
|
((x|(y|c))|(~(~((c|(c&~(y)))))&c))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&y)
|
((x|y)|(y|(x&y)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((y>c)))
|
(((y>x)|((x&y)|x))|((c|y)>c))
| 1 | 0 | 0 | 0 |
entailment
|
(y&y)
|
(((y>x)|((x&y)|x))|((c|y)>c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((y>c)))
|
((x|y)|(y|(x&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(x)>~(~(~(x))))>~((c&x))))
|
((c&c)|((x>~(y))>~(x)))
| 1 | 1 | 0 | 0 |
entailment
|
~((c|(y|y)))
|
((y&y)>~(((y|y)|(y&c))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((~(x)>~(~(~(x))))>~((c&x))))
|
((y&y)>~(((y|y)|(y&c))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((c|(y|y)))
|
((c&c)|((x>~(y))>~(x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&c)&~((c>(x&x))))
|
(y|((c|c)&((y>(x>~(y)))&(x>x))))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(((((c&x)|c)|(x&~((x|x))))>(x&x))))
|
(~(x)>(~((c>((x&x)&x)))>x))
| 1 | 1 | 1 | 1 |
entailment
|
((y&c)&~((c>(x&x))))
|
(~(x)>(~((c>((x&x)&x)))>x))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(((((c&x)|c)|(x&~((x|x))))>(x&x))))
|
(y|((c|c)&((y>(x>~(y)))&(x>x))))
| 0 | 1 | 0 | 0 |
not entailment
|
(x|(x&~(y)))
|
(c|((c|((c|x)&x))|y))
| 1 | 0 | 0 | 0 |
entailment
|
(~(y)&~(c))
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
(x|(x&~(y)))
|
~(y)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(y)&~(c))
|
(c|((c|((c|x)&x))|y))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(~(c))&(c&x))>(y&(y&((x>y)>c)))))
|
~(((c>((y&x)>(c|y)))&((x&c)>y)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(~(~(((c>~(c))>x))))))
|
~((~(c)>(x&((~(c)&c)&(x&y)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(~(c))&(c&x))>(y&(y&((x>y)>c)))))
|
~((~(c)>(x&((~(c)&c)&(x&y)))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~(~(~(((c>~(c))>x))))))
|
~(((c>((y&x)>(c|y)))&((x&c)>y)))
| 0 | 1 | 0 | 0 |
not entailment
|
((y>(x|x))|~((x>c)))
|
(y>x)
| 1 | 1 | 1 | 1 |
entailment
|
(y&~(c))
|
((c|y)&(y|(((c|y)|c)|y)))
| 1 | 0 | 1 | 0 |
entailment
|
((y>(x|x))|~((x>c)))
|
((c|y)&(y|(((c|y)|c)|y)))
| 0 | 0 | 1 | 0 |
not entailment
|
(y&~(c))
|
(y>x)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((x|x)|(c&x))&c)|~(x))|y))
|
((~((y|(x&~((c&(~(y)|c))))))>x)|c)
| 1 | 0 | 1 | 0 |
entailment
|
~((y|(~(x)>y)))
|
(~((x|y))|((x|~(c))>(y&y)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((x|x)|(c&x))&c)|~(x))|y))
|
(~((x|y))|((x|~(c))>(y&y)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((y|(~(x)>y)))
|
((~((y|(x&~((c&(~(y)|c))))))>x)|c)
| 0 | 0 | 0 | 0 |
not entailment
|
((x>(x>y))&(x&y))
|
(c|y)
| 1 | 1 | 0 | 0 |
entailment
|
(x&~((c|y)))
|
((y>~(~(((x|y)&c))))|c)
| 1 | 0 | 1 | 0 |
entailment
|
((x>(x>y))&(x&y))
|
((y>~(~(((x|y)&c))))|c)
| 0 | 0 | 0 | 0 |
not entailment
|
(x&~((c|y)))
|
(c|y)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((x|c)>(((x|y)&c)>x)))&(~(y)>(x&y)))
|
((x|y)>c)
| 1 | 1 | 1 | 0 |
entailment
|
((((~((x>c))|x)>y)>(((y|y)>x)&(y|x)))&y)
|
(((x|((y>y)|((y>c)&y)))&((c>c)>x))|(y&x))
| 1 | 1 | 1 | 0 |
entailment
|
(~(((x|c)>(((x|y)&c)>x)))&(~(y)>(x&y)))
|
(((x|((y>y)|((y>c)&y)))&((c>c)>x))|(y&x))
| 0 | 1 | 1 | 0 |
not entailment
|
((((~((x>c))|x)>y)>(((y|y)>x)&(y|x)))&y)
|
((x|y)>c)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((~((k>((z&h)>u)))>b)>(o>k))|d))
|
((h|o)|~((k|k)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(((u>b)&~((~(z)|d))))&(b&b))
|
(((~((o>u))&(u|b))>~((h&z)))|d)
| 1 | 1 | 0 | 0 |
entailment
|
~((((~((k>((z&h)>u)))>b)>(o>k))|d))
|
(((~((o>u))&(u|b))>~((h&z)))|d)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((u>b)&~((~(z)|d))))&(b&b))
|
((h|o)|~((k|k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(k)&~(((h>z)>o)))
|
~((b&~((~(o)|k))))
| 1 | 1 | 0 | 0 |
entailment
|
((k>o)&((d|z)>b))
|
(~(b)>~(d))
| 1 | 1 | 1 | 1 |
entailment
|
(~(k)&~(((h>z)>o)))
|
(~(b)>~(d))
| 0 | 1 | 0 | 0 |
not entailment
|
((k>o)&((d|z)>b))
|
~((b&~((~(o)|k))))
| 0 | 0 | 1 | 0 |
not entailment
|
((((z>(k>h))&(h>d))|(z|b))&~(d))
|
(~((~((b>(h>z)))&k))>~((d&(k|k))))
| 1 | 0 | 1 | 0 |
entailment
|
((u|~((k&h)))&o)
|
((d|b)|o)
| 1 | 1 | 0 | 0 |
entailment
|
((((z>(k>h))&(h>d))|(z|b))&~(d))
|
((d|b)|o)
| 0 | 1 | 0 | 0 |
not entailment
|
((u|~((k&h)))&o)
|
(~((~((b>(h>z)))&k))>~((d&(k|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((o>h)|((k>d)&~(~(o)))))
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(((h|u)|((u&(b|u))|z)))))
|
~(((z&z)&k))
| 1 | 1 | 0 | 0 |
entailment
|
~(((o>h)|((k>d)&~(~(o)))))
|
~(((z&z)&k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((h|u)|((u&(b|u))|z)))))
|
~(d)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(d)&o)&z)
|
(((((o|h)>(b>b))&(k&h))&d)>~((z>(d|h))))
| 1 | 0 | 0 | 0 |
entailment
|
(b&~(~((o|(k&(u&(u>z)))))))
|
(d|b)
| 1 | 1 | 0 | 0 |
entailment
|
((~(d)&o)&z)
|
(d|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&~(~((o|(k&(u&(u>z)))))))
|
(((((o|h)>(b>b))&(k&h))&d)>~((z>(d|h))))
| 0 | 0 | 0 | 0 |
not entailment
|
((d|(u&~(b)))&u)
|
(((z>o)|(h>d))|~(((z|k)&b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~((b>d))|z)))
|
(~(~((k>z)))|(o>(b&k)))
| 1 | 0 | 0 | 0 |
entailment
|
((d|(u&~(b)))&u)
|
(~(~((k>z)))|(o>(b&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~((b>d))|z)))
|
(((z>o)|(h>d))|~(((z|k)&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&z)
|
~(~((~((o|o))|(((o>d)|d)|d))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(~(k))&(o>o))))
|
((z&u)>((~((o|b))&h)|k))
| 1 | 1 | 0 | 0 |
entailment
|
(d&z)
|
((z&u)>((~((o|b))&h)|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(~(k))&(o>o))))
|
~(~((~((o|o))|(((o>d)|d)|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((b&o))|~((d>h))))
|
(((((k|k)|k)&d)|o)|((d>(h>z))>z))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d|(d>(z>z)))&(~(u)|z)))
|
(d|u)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((b&o))|~((d>h))))
|
(d|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d|(d>(z>z)))&(~(u)|z)))
|
(((((k|k)|k)&d)|o)|((d>(h>z))>z))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&u)
|
((z>d)>b)
| 1 | 0 | 0 | 0 |
entailment
|
~(k)
|
((k&(b>(b>h)))>(u&~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
(b&u)
|
((k&(b>(b>h)))>(u&~(d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(k)
|
((z>d)>b)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(o)|(h>~(d)))&h)
|
(~(k)>((((k|u)>((b&o)&b))|((o>u)|u))&h))
| 1 | 0 | 0 | 0 |
entailment
|
(o&b)
|
((o|d)|(k&h))
| 1 | 0 | 0 | 0 |
entailment
|
((~(o)|(h>~(d)))&h)
|
((o|d)|(k&h))
| 0 | 1 | 0 | 0 |
not entailment
|
(o&b)
|
(~(k)>((((k|u)>((b&o)&b))|((o>u)|u))&h))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(k)&(d&(h|h)))
|
((d|u)|((u|z)|k))
| 1 | 1 | 0 | 0 |
entailment
|
~(((k|o)|o))
|
~((o&~((h>b))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(k)&(d&(h|h)))
|
~((o&~((h>b))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k|o)|o))
|
((d|u)|((u|z)|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((k|(~(u)&k))|(d|k))>(u&(o|z))))
|
(~(~((k&(u&o))))>~(~(b)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(h)&((z>(~(d)>d))>~(~(h))))
|
(~((u|h))|u)
| 1 | 1 | 0 | 0 |
entailment
|
~((((k|(~(u)&k))|(d|k))>(u&(o|z))))
|
(~((u|h))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(h)&((z>(~(d)>d))>~(~(h))))
|
(~(~((k&(u&o))))>~(~(b)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((u|o)&b)>(z>d)))
|
(d>o)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(~(~(((z>k)|(d&o)))))))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
~((((u|o)&b)>(z>d)))
|
~(k)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~(~(((z>k)|(d&o)))))))
|
(d>o)
| 0 | 1 | 1 | 0 |
not entailment
|
(((d&z)>z)>(u&((z|o)&z)))
|
((~((h>z))>((u&b)>(z>((u>o)>~(k)))))&z)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((z|((d|b)|h))|k))&u)
|
(b|~(h))
| 1 | 1 | 1 | 0 |
entailment
|
(((d&z)>z)>(u&((z|o)&z)))
|
(b|~(h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((z|((d|b)|h))|k))&u)
|
((~((h>z))>((u&b)>(z>((u>o)>~(k)))))&z)
| 0 | 0 | 0 | 0 |
not entailment
|
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