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 |
---|---|---|---|---|---|---|
~((f>((~(e)&o)>e)))
|
~(~(((f|b)&((y|b)|((d|y)|(m>f))))))
| 1 | 0 | 0 | 0 |
entailment
|
((e&((b&f)>d))&d)
|
((o&o)>((~(o)|d)&(d|y)))
| 1 | 0 | 0 | 0 |
entailment
|
~((f>((~(e)&o)>e)))
|
((o&o)>((~(o)|d)&(d|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&((b&f)>d))&d)
|
~(~(((f|b)&((y|b)|((d|y)|(m>f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&d)
|
(((~(~(d))|d)&(b&h))|((d>m)>f))
| 1 | 0 | 0 | 0 |
entailment
|
((o|~((o|m)))&~((m|d)))
|
(((h|(h&d))|b)|(~(d)&(o>((h|o)|f))))
| 1 | 0 | 0 | 0 |
entailment
|
(f&d)
|
(((h|(h&d))|b)|(~(d)&(o>((h|o)|f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((o|~((o|m)))&~((m|d)))
|
(((~(~(d))|d)&(b&h))|((d>m)>f))
| 0 | 0 | 0 | 0 |
not entailment
|
((((~((h&d))|(o>f))&(m&d))&f)&((e>d)|e))
|
(f|(((y&b)|o)&((b|b)>o)))
| 1 | 1 | 0 | 0 |
entailment
|
~((e|(((h>b)|(m|b))|((h|h)&(o|o)))))
|
(e>(~((f|o))&o))
| 1 | 1 | 0 | 0 |
entailment
|
((((~((h&d))|(o>f))&(m&d))&f)&((e>d)|e))
|
(e>(~((f|o))&o))
| 0 | 1 | 1 | 0 |
not entailment
|
~((e|(((h>b)|(m|b))|((h|h)&(o|o)))))
|
(f|(((y&b)|o)&((b|b)>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((f>((d>f)>d)))
|
~((((b>(~((f>m))|b))&~(e))&(f&d)))
| 1 | 0 | 0 | 0 |
entailment
|
((o&((d|m)|y))&(o>(y&(o|(f|(f|h))))))
|
(y|(b|h))
| 1 | 1 | 0 | 0 |
entailment
|
~((f>((d>f)>d)))
|
(y|(b|h))
| 0 | 1 | 0 | 0 |
not entailment
|
((o&((d|m)|y))&(o>(y&(o|(f|(f|h))))))
|
~((((b>(~((f>m))|b))&~(e))&(f&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&b)|m)
|
((~(m)>f)|h)
| 1 | 0 | 0 | 0 |
entailment
|
~((((m|h)>m)>f))
|
(~((f&f))|y)
| 1 | 1 | 0 | 0 |
entailment
|
((h&b)|m)
|
(~((f&f))|y)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((m|h)>m)>f))
|
((~(m)>f)|h)
| 0 | 1 | 1 | 0 |
not entailment
|
((h>h)&m)
|
((((h>h)>h)>m)&(y>(o>m)))
| 1 | 0 | 0 | 0 |
entailment
|
((y&h)&~(o))
|
(o>(y>b))
| 1 | 1 | 0 | 0 |
entailment
|
((h>h)&m)
|
(o>(y>b))
| 0 | 1 | 0 | 0 |
not entailment
|
((y&h)&~(o))
|
((((h>h)>h)>m)&(y>(o>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m>f))
|
(y|(((e>m)&(f|y))>(((d&f)|(h>f))&(f>d))))
| 1 | 0 | 0 | 0 |
entailment
|
(o&((d|b)>h))
|
~(~(((b>h)|~((b|(y|o))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((m>f))
|
~(~(((b>h)|~((b|(y|o))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&((d|b)>h))
|
(y|(((e>m)&(f|y))>(((d&f)|(h>f))&(f>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e>h)&~(~(e)))
|
~(~(~(~((~((y|h))>(d>(m|y)))))))
| 1 | 0 | 0 | 0 |
entailment
|
((((f>m)&f)>d)&(f|(f&d)))
|
(f|~(~((d&m))))
| 1 | 1 | 1 | 0 |
entailment
|
((e>h)&~(~(e)))
|
(f|~(~((d&m))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((f>m)&f)>d)&(f|(f&d)))
|
~(~(~(~((~((y|h))>(d>(m|y)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&~(~(((h&d)&b))))
|
(~((((e|((m>h)&~(h)))|(m|(b>b)))>d))>o)
| 1 | 0 | 0 | 0 |
entailment
|
(h&f)
|
(d>f)
| 1 | 1 | 0 | 0 |
entailment
|
(d&~(~(((h&d)&b))))
|
(d>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&f)
|
(~((((e|((m>h)&~(h)))|(m|(b>b)))>d))>o)
| 0 | 0 | 0 | 0 |
not entailment
|
((m&~(e))&(o&d))
|
~(~(o))
| 1 | 1 | 1 | 1 |
entailment
|
(b&y)
|
(h|b)
| 1 | 1 | 0 | 0 |
entailment
|
((m&~(e))&(o&d))
|
(h|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&y)
|
~(~(o))
| 0 | 0 | 0 | 0 |
not entailment
|
(((t|(o&t))&l)&(t|l))
|
(l&l)
| 1 | 1 | 1 | 1 |
entailment
|
(((u>(y|(t|y)))>o)&u)
|
(((t&o)|((((u&l)>l)>o)|(t&u)))>(u&o))
| 1 | 0 | 0 | 0 |
entailment
|
(((t|(o&t))&l)&(t|l))
|
(((t&o)|((((u&l)>l)>o)|(t&u)))>(u&o))
| 0 | 0 | 0 | 0 |
not entailment
|
(((u>(y|(t|y)))>o)&u)
|
(l&l)
| 0 | 1 | 0 | 0 |
not entailment
|
(o|(y&o))
|
((u>(u&o))&(u>u))
| 1 | 0 | 0 | 0 |
entailment
|
(u&y)
|
((((y|l)|l)|(o>~((t|(l>t)))))&y)
| 1 | 0 | 0 | 0 |
entailment
|
(o|(y&o))
|
((((y|l)|l)|(o>~((t|(l>t)))))&y)
| 0 | 0 | 0 | 0 |
not entailment
|
(u&y)
|
((u>(u&o))&(u>u))
| 0 | 0 | 0 | 0 |
not entailment
|
~(t)
|
(t>(u|o))
| 1 | 0 | 0 | 0 |
entailment
|
(t&l)
|
(t|(u|((y>l)>~(y))))
| 1 | 0 | 0 | 0 |
entailment
|
~(t)
|
(t|(u|((y>l)>~(y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&l)
|
(t>(u|o))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&~(~(o)))
|
((u>(u&o))>(~(o)>l))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((t>o))|y))
|
((t>y)>((~(~(~((y>l))))>(t&t))&(t>o)))
| 1 | 0 | 0 | 0 |
entailment
|
(o&~(~(o)))
|
((t>y)>((~(~(~((y>l))))>(t&t))&(t>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((t>o))|y))
|
((u>(u&o))>(~(o)>l))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((~(o)&l)&t))|o))
|
(t|(~(((t&l)|(l|o)))&(t>(y|l))))
| 1 | 0 | 0 | 0 |
entailment
|
~((y|~(~((t&(y>(y|(o|y))))))))
|
((t>o)&~(t))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(((~(o)&l)&t))|o))
|
((t>o)&~(t))
| 0 | 1 | 1 | 0 |
not entailment
|
~((y|~(~((t&(y>(y|(o|y))))))))
|
(t|(~(((t&l)|(l|o)))&(t>(y|l))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(l)
|
((l|o)>(t>o))
| 1 | 0 | 0 | 0 |
entailment
|
(t&~((((u>t)&(l&t))&(o|(o|y)))))
|
(((~((l&t))&(y&o))&(y&o))>t)
| 1 | 1 | 1 | 0 |
entailment
|
~(l)
|
(((~((l&t))&(y&o))&(y&o))>t)
| 0 | 0 | 0 | 0 |
not entailment
|
(t&~((((u>t)&(l&t))&(o|(o|y)))))
|
((l|o)>(t>o))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(u)>((o|t)>l))&((o&t)&(t|t)))
|
((o|(~(t)>l))>(y>t))
| 1 | 1 | 0 | 0 |
entailment
|
(l&(y|(y|o)))
|
(~((~(o)&l))>l)
| 1 | 0 | 1 | 0 |
entailment
|
((~(u)>((o|t)>l))&((o&t)&(t|t)))
|
(~((~(o)&l))>l)
| 0 | 1 | 1 | 1 |
not entailment
|
(l&(y|(y|o)))
|
((o|(~(t)>l))>(y>t))
| 0 | 0 | 0 | 0 |
not entailment
|
(u|(o&(u|((t>t)|y))))
|
(((t|o)&(l|o))|u)
| 1 | 1 | 0 | 0 |
entailment
|
~((((t|o)>(o&o))&o))
|
((t&o)>(l&y))
| 1 | 1 | 0 | 0 |
entailment
|
(u|(o&(u|((t>t)|y))))
|
((t&o)>(l&y))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((t|o)>(o&o))&o))
|
(((t|o)&(l|o))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((u|~(~((u&y))))))
|
((u>~(u))>(u&u))
| 1 | 1 | 1 | 1 |
entailment
|
(t&y)
|
((o&(y>y))>(l>y))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((u|~(~((u&y))))))
|
((o&(y>y))>(l>y))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&y)
|
((u>~(u))>(u&u))
| 0 | 0 | 0 | 0 |
not entailment
|
((o&y)&u)
|
(((~(t)|o)&o)|o)
| 1 | 0 | 0 | 0 |
entailment
|
(o>~((~(~((u&((t&(o&y))&(t|t)))))|y)))
|
(((t&y)|((o|t)&(o>y)))>t)
| 1 | 1 | 1 | 0 |
entailment
|
((o&y)&u)
|
(((t&y)|((o|t)&(o>y)))>t)
| 0 | 0 | 0 | 0 |
not entailment
|
(o>~((~(~((u&((t&(o&y))&(t|t)))))|y)))
|
(((~(t)|o)&o)|o)
| 0 | 1 | 1 | 0 |
not entailment
|
((o&~((~((t>u))|y)))&u)
|
((l>o)|(~(u)|(((y|t)|(y&l))|y)))
| 1 | 0 | 0 | 0 |
entailment
|
~(t)
|
~(~((y|(t>~(((o&t)>((u>l)|u)))))))
| 1 | 0 | 0 | 0 |
entailment
|
((o&~((~((t>u))|y)))&u)
|
~(~((y|(t>~(((o&t)>((u>l)|u)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(t)
|
((l>o)|(~(u)|(((y|t)|(y&l))|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t|l))
|
((t|u)>((u|y)|y))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u|((l|(o&t))>l))|~(t)))
|
(y|((((u|t)>(u>o))|(t>u))&((l&u)|o)))
| 1 | 0 | 0 | 0 |
entailment
|
~((t|l))
|
(y|((((u|t)>(u>o))|(t>u))&((l&u)|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u|((l|(o&t))>l))|~(t)))
|
((t|u)>((u|y)|y))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(u)>(y>y))>y)
|
(~(u)|~(~((o|y))))
| 1 | 0 | 0 | 0 |
entailment
|
(((y&o)&(((t|y)|~(y))|y))|~(((o|t)>y)))
|
((u|t)|(y>(y>o)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(u)>(y>y))>y)
|
((u|t)|(y>(y>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y&o)&(((t|y)|~(y))|y))|~(((o|t)>y)))
|
(~(u)|~(~((o|y))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(u)
|
~(~((~(u)|y)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(o)&((l&u)&(t&(o|t))))))
|
~(~((u&u)))
| 1 | 1 | 1 | 1 |
entailment
|
~(u)
|
~(~((u&u)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((~(o)&((l&u)&(t&(o|t))))))
|
~(~((~(u)|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
((o|o)&(t&y))
|
(~(l)>o)
| 1 | 1 | 0 | 0 |
entailment
|
~(((t|y)|~((~(l)|~(l)))))
|
(~((l&l))&(~((o>y))|~(y)))
| 1 | 1 | 0 | 0 |
entailment
|
((o|o)&(t&y))
|
(~((l&l))&(~((o>y))|~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t|y)|~((~(l)|~(l)))))
|
(~(l)>o)
| 0 | 1 | 0 | 0 |
not entailment
|
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