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 |
|---|---|---|---|---|---|---|
~((t>(~(~(u))&(((y>y)&~(y))>u))))
|
(~(y)|((u>c)&(t|~(y))))
| 1 | 1 | 0 | 0 |
entailment
|
((~((y&~(u)))&(c&c))&y)
|
(~(y)|((u>c)&(t|~(y))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((t>(~(~(u))&(((y>y)&~(y))>u))))
|
(((c>~(t))|(u|y))&(u|~(u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((c|(y&y))&(((~(c)&y)>(y>u))|u))
|
((t>y)|(t&c))
| 1 | 1 | 0 | 0 |
entailment
|
(~((u>~(t)))|(((y|y)>u)&(y&~(y))))
|
(((y>c)>t)&(u|(t|t)))
| 1 | 1 | 0 | 0 |
entailment
|
((c|(y&y))&(((~(c)&y)>(y>u))|u))
|
(((y>c)>t)&(u|(t|t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((u>~(t)))|(((y|y)>u)&(y&~(y))))
|
((t>y)|(t&c))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((y&u)))
|
(((c&y)>u)|(u&(u>u)))
| 1 | 0 | 0 | 0 |
entailment
|
(t|(c&(~(y)&~(~(~((u&t)))))))
|
((y>t)|(t|(c>(c>t))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((y&u)))
|
((y>t)|(t|(c>(c>t))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t|(c&(~(y)&~(~(~((u&t)))))))
|
(((c&y)>u)|(u&(u>u)))
| 0 | 1 | 1 | 0 |
not entailment
|
(u|u)
|
(~(u)>(((t>t)&y)|(c&y)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&c)
|
(c|c)
| 1 | 1 | 1 | 1 |
entailment
|
(u|u)
|
(c|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&c)
|
(~(u)>(((t>t)&y)|(c&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((t>u)&(~(u)>(t&u)))
|
(~(((c&((u|y)&u))|~(c)))|((u|t)|t))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(u)&(t>u))))
|
((((c>t)>(y&t))&c)|((t&y)>~((t&(u&y)))))
| 1 | 0 | 0 | 0 |
entailment
|
((t>u)&(~(u)>(t&u)))
|
((((c>t)>(y&t))&c)|((t&y)>~((t&(u&y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(u)&(t>u))))
|
(~(((c&((u|y)&u))|~(c)))|((u|t)|t))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t>(t&c)))
|
((~((c|(c&c)))>(c&c))>t)
| 1 | 0 | 1 | 1 |
entailment
|
~(((c>y)>t))
|
~(t)
| 1 | 1 | 1 | 1 |
entailment
|
~((t>(t&c)))
|
~(t)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((c>y)>t))
|
((~((c|(c&c)))>(c&c))>t)
| 0 | 0 | 1 | 0 |
not entailment
|
((u&((u&((y&y)>(c>y)))|c))&(~(y)&t))
|
(t|u)
| 1 | 1 | 1 | 1 |
entailment
|
(~(c)&~((c&c)))
|
(((y>y)>c)>(~((t&((u&(t&c))>(t>u))))|y))
| 1 | 0 | 0 | 0 |
entailment
|
((u&((u&((y&y)>(c>y)))|c))&(~(y)&t))
|
(((y>y)>c)>(~((t&((u&(t&c))>(t>u))))|y))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(c)&~((c&c)))
|
(t|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(t))>~((~(t)|y))))
|
(y&((u>u)&((~((y>y))>t)&t)))
| 1 | 1 | 0 | 0 |
entailment
|
((((c|u)>~((y|t)))&c)&(((c&u)|y)|u))
|
(u|(((t&c)&~((t>t)))&~(u)))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(~(t))>~((~(t)|y))))
|
(u|(((t&c)&~((t>t)))&~(u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((c|u)>~((y|t)))&c)&(((c&u)|y)|u))
|
(y&((u>u)&((~((y>y))>t)&t)))
| 0 | 1 | 1 | 0 |
not entailment
|
((t>u)&t)
|
(t|(y>c))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((u>c)|~(u))))
|
(~((~((u>u))&u))&((c|c)|~(u)))
| 1 | 0 | 1 | 0 |
entailment
|
((t>u)&t)
|
(~((~((u>u))&u))&((c|c)|~(u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((u>c)|~(u))))
|
(t|(y>c))
| 0 | 1 | 0 | 0 |
not entailment
|
(((c&(u&y))&u)&(((u|c)|(y&t))&((c&t)|t)))
|
(t|t)
| 1 | 1 | 1 | 1 |
entailment
|
(((t&u)>t)>~((t&(t|t))))
|
(u>(t>(~(u)&u)))
| 1 | 1 | 1 | 0 |
entailment
|
(((c&(u&y))&u)&(((u|c)|(y&t))&((c&t)|t)))
|
(u>(t>(~(u)&u)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((t&u)>t)>~((t&(t|t))))
|
(t|t)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((t>(z&l)))&z)
|
~(~(t))
| 1 | 1 | 1 | 1 |
entailment
|
((z&z)&h)
|
~(((~(~(t))|x)&~(h)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((t>(z&l)))&z)
|
~(((~(~(t))|x)&~(h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&z)&h)
|
~(~(t))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f>h)|t)>~(x)))
|
((t|~(f))|(t|(((x|(f&x))&(f|x))|(z|x))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&~(t))
|
(h&((f|(x>((f|t)>l)))|z))
| 1 | 0 | 0 | 0 |
entailment
|
~((((f>h)|t)>~(x)))
|
(h&((f|(x>((f|t)>l)))|z))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&~(t))
|
((t|~(f))|(t|(((x|(f&x))&(f|x))|(z|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(f)
|
((x>x)>(h>(f>~(t))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(((f&h)|((f>z)&f)))>h)>(l|x))&t)
|
(z|t)
| 1 | 1 | 1 | 0 |
entailment
|
~(f)
|
(z|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(((f&h)|((f>z)&f)))>h)>(l|x))&t)
|
((x>x)>(h>(f>~(t))))
| 0 | 1 | 1 | 0 |
not entailment
|
((z&(x&(l>l)))&l)
|
(x|((z|z)|f))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((x|t)|f))&l)
|
(((f>(~(h)>l))>f)>((x>h)&x))
| 1 | 0 | 0 | 0 |
entailment
|
((z&(x&(l>l)))&l)
|
(((f>(~(h)>l))>f)>((x>h)&x))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((x|t)|f))&l)
|
(x|((z|z)|f))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&~(~(((h&t)&(l|((l>l)|(t>z)))))))
|
((f>(h|f))&h)
| 1 | 1 | 0 | 0 |
entailment
|
((x&l)&~(~(z)))
|
((((h>~(f))>f)|((x>z)>z))&(h>l))
| 1 | 0 | 0 | 0 |
entailment
|
(x&~(~(((h&t)&(l|((l>l)|(t>z)))))))
|
((((h>~(f))>f)|((x>z)>z))&(h>l))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&l)&~(~(z)))
|
((f>(h|f))&h)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(h)|t))
|
(t>f)
| 1 | 1 | 0 | 0 |
entailment
|
~((h|(x|f)))
|
~(~((~(~(f))>((h&l)>((l>z)&(z&f))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(h)|t))
|
~(~((~(~(f))>((h&l)>((l>z)&(z&f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((h|(x|f)))
|
(t>f)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((z>(t&t))|l))))
|
((~((x>f))&x)|((~(l)|f)|~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((f&((h&z)&(l>t)))|(l>x)))
|
(((~((f|l))|z)>(h>((x>h)&x)))|~(~(l)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(((z>(t&t))|l))))
|
(((~((f|l))|z)>(h>((x>h)&x)))|~(~(l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((f&((h&z)&(l>t)))|(l>x)))
|
((~((x>f))&x)|((~(l)|f)|~(t)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(f)&(~(((z|x)&l))&h))
|
(~(~(t))|((l|h)>(~(z)>h)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(((l>(f&z))|x)))|(h|f))&~((x|x)))
|
~(x)
| 1 | 1 | 1 | 1 |
entailment
|
(~(f)&(~(((z|x)&l))&h))
|
~(x)
| 0 | 1 | 1 | 1 |
not entailment
|
((~(~(((l>(f&z))|x)))|(h|f))&~((x|x)))
|
(~(~(t))|((l|h)>(~(z)>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&z)
|
(z|x)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((f&h)>h)&((f>t)>z))|f))
|
((f&l)>h)
| 1 | 1 | 0 | 0 |
entailment
|
(x&z)
|
((f&l)>h)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((f&h)>h)&((f>t)>z))|f))
|
(z|x)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((h>f)>~((t&l)))&t)|(~((t|f))>l)))
|
(((f&l)&t)>(h|z))
| 1 | 1 | 0 | 0 |
entailment
|
(t&l)
|
~(~((~(h)>(z|(x|t)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((h>f)>~((t&l)))&t)|(~((t|f))>l)))
|
~(~((~(h)>(z|(x|t)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&l)
|
(((f&l)&t)>(h|z))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&(h&h))
|
(~(~((x>~(~((~(h)>(x>h)))))))|(x&z))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((l&l)&x)>~(l))&(~(f)|(~(l)&f))))
|
(~((z|h))|((h>f)|(t>l)))
| 1 | 1 | 0 | 0 |
entailment
|
(z&(h&h))
|
(~((z|h))|((h>f)|(t>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((l&l)&x)>~(l))&(~(f)|(~(l)&f))))
|
(~(~((x>~(~((~(h)>(x>h)))))))|(x&z))
| 0 | 1 | 0 | 0 |
not entailment
|
((z|x)&~(((l|z)>((x|h)&((z&t)|(f>f))))))
|
((l>(~(~(f))>(t|t)))>~(x))
| 1 | 1 | 1 | 1 |
entailment
|
~(f)
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
((z|x)&~(((l|z)>((x|h)&((z&t)|(f>f))))))
|
~(f)
| 0 | 1 | 1 | 1 |
not entailment
|
~(f)
|
((l>(~(~(f))>(t|t)))>~(x))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&h)&(~((~((x>f))&f))&h))
|
(((h|(f|t))|~(l))|z)
| 1 | 1 | 0 | 0 |
entailment
|
((l|~((f|(z>z))))&(x&(z|l)))
|
((f>l)>l)
| 1 | 1 | 1 | 0 |
entailment
|
((z&h)&(~((~((x>f))&f))&h))
|
((f>l)>l)
| 0 | 1 | 0 | 0 |
not entailment
|
((l|~((f|(z>z))))&(x&(z|l)))
|
(((h|(f|t))|~(l))|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&(~((~(((l|z)>(x|l)))&t))&l))
|
((~((~((l>t))>~(x)))&((t|h)&l))>(t|f))
| 1 | 0 | 0 | 0 |
entailment
|
~(((l|~(((z>f)&(x>(z>l)))))>z))
|
((x>(l&z))>(l>(x>(t&h))))
| 1 | 1 | 0 | 0 |
entailment
|
(t&(~((~(((l|z)>(x|l)))&t))&l))
|
((x>(l&z))>(l>(x>(t&h))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((l|~(((z>f)&(x>(z>l)))))>z))
|
((~((~((l>t))>~(x)))&((t|h)&l))>(t|f))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&(((z>z)>x)>~(x)))&((h>(x>t))|x))
|
~(((~(((z>z)>(l|z)))|(z&~(h)))&h))
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)&h)
|
((~(l)|(t>z))&h)
| 1 | 0 | 0 | 0 |
entailment
|
((z&(((z>z)>x)>~(x)))&((h>(x>t))|x))
|
((~(l)|(t>z))&h)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(t)&h)
|
~(((~(((z>z)>(l|z)))|(z&~(h)))&h))
| 0 | 0 | 0 | 0 |
not entailment
|
((((h&f)>t)>l)&(l&~((h|~((z&z))))))
|
~((l>(z>~(((h|t)|(z>l))))))
| 1 | 1 | 1 | 0 |
entailment
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.