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 |
---|---|---|---|---|---|---|
((r&g)&t)
|
((~(~((h|h)))|a)>(t|a))
| 1 | 0 | 0 | 0 |
entailment
|
(z&u)
|
((~(~((h|h)))|a)>(t|a))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&g)&t)
|
(e>z)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((g>a))&(t&x))
|
((g&a)>z)
| 1 | 1 | 0 | 0 |
entailment
|
~(e)
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
(~((g>a))&(t&x))
|
~(e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(e)
|
((g&a)>z)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a|e)|(g&(u&r))))
|
~((~(g)&a))
| 1 | 1 | 1 | 0 |
entailment
|
(x&(e&(u|g)))
|
(((t|x)>z)|(d>x))
| 1 | 0 | 0 | 0 |
entailment
|
~(((a|e)|(g&(u&r))))
|
(((t|x)>z)|(d>x))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&(e&(u|g)))
|
~((~(g)&a))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~(~((z|((t|a)>(x>(t>h)))))))))
|
(((x&g)>~(~(t)))|((g&(e|r))>((z|a)>r)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((~(((h&x)&u))&~((u&(z>z))))&e)))
|
(((r>(x>(r&e)))&e)&(u>e))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(~(~((z|((t|a)>(x>(t>h)))))))))
|
(((r>(x>(r&e)))&e)&(u>e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((~(((h&x)&u))&~((u&(z>z))))&e)))
|
(((x&g)>~(~(t)))|((g&(e|r))>((z|a)>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
((r|h)&~((e|(d>r))))
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
(((~(d)|(e>(x&d)))>(~(d)|g))&(h&z))
|
((d>x)|((e|z)&z))
| 1 | 1 | 1 | 0 |
entailment
|
((r|h)&~((e|(d>r))))
|
((d>x)|((e|z)&z))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(d)|(e>(x&d)))>(~(d)|g))&(h&z))
|
~(r)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((~(e)|r)>a)&h))&~(e))
|
~((u&(r&~(~(((e&x)&u))))))
| 1 | 1 | 0 | 0 |
entailment
|
(r&~((a|d)))
|
((r|~((d>(x&e))))>~(a))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((~(e)|r)>a)&h))&~(e))
|
((r|~((d>(x&e))))>~(a))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&~((a|d)))
|
~((u&(r&~(~(((e&x)&u))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r|(e>g))|z))
|
(u|((r>x)|(((z>(h&a))>~((g>x)))>~(a))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~(((g|g)&~((g&(d|t))))))))
|
(d>(~(x)&(t&(d&((x&d)&t)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((r|(e>g))|z))
|
(d>(~(x)&(t&(d&((x&d)&t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(((g|g)&~((g&(d|t))))))))
|
(u|((r>x)|(((z>(h&a))>~((g>x)))>~(a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(d))&(u&z))
|
((r|e)>((g|(~(~(g))|z))|d))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((u&g)&(z>u))|d)|u))
|
~((((d&(r|e))&((a>g)>h))&(u>t)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(d))&(u&z))
|
~((((d&(r|e))&((a>g)>h))&(u>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((u&g)&(z>u))|d)|u))
|
((r|e)>((g|(~(~(g))|z))|d))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&g)
|
(d|(r>x))
| 1 | 0 | 0 | 0 |
entailment
|
(g>~(~(h)))
|
(((g&(h>(e>t)))|g)>((h&h)|~(u)))
| 1 | 0 | 0 | 0 |
entailment
|
(d&g)
|
(((g&(h>(e>t)))|g)>((h&h)|~(u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(g>~(~(h)))
|
(d|(r>x))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(z)&a)
|
((((e|(h|g))&(d&(a|e)))|((z|t)>a))>a)
| 1 | 0 | 0 | 0 |
entailment
|
~((u>x))
|
(x>((t&(u|g))|r))
| 1 | 0 | 0 | 0 |
entailment
|
(~(z)&a)
|
(x>((t&(u|g))|r))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>x))
|
((((e|(h|g))&(d&(a|e)))|((z|t)>a))>a)
| 0 | 0 | 0 | 0 |
not entailment
|
(u&~((x>(a&g))))
|
(u|(h&t))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((x|(e|x)))>(h&a)))
|
~(((g&g)&(e&(h>(g&(t&(g>e)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(u&~((x>(a&g))))
|
~(((g&g)&(e&(h>(g&(t&(g>e)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((x|(e|x)))>(h&a)))
|
(u|(h&t))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((a&r))>(u&~((x>r))))>(g|a)))
|
~(((r&x)&((r|d)|z)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a>g)|(d>t)))
|
(u>a)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((a&r))>(u&~((x>r))))>(g|a)))
|
(u>a)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((a>g)|(d>t)))
|
~(((r&x)&((r|d)|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((d&x)&((a&g)&(a|h)))&(d|h))
|
(u|(a|(h>~(x))))
| 1 | 1 | 0 | 0 |
entailment
|
((e&(h&(h&e)))&~(~((~(e)>z))))
|
((u>z)|(u&e))
| 1 | 1 | 0 | 0 |
entailment
|
(((d&x)&((a&g)&(a|h)))&(d|h))
|
((u>z)|(u&e))
| 0 | 1 | 0 | 0 |
not entailment
|
((e&(h&(h&e)))&~(~((~(e)>z))))
|
(u|(a|(h>~(x))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((i>i))|(a&j))&u)&(a>u))
|
((((p&(p&i))|o)&i)|j)
| 1 | 1 | 0 | 0 |
entailment
|
((u|(l>l))&(~((u|o))&~(o)))
|
~((~(e)&((a>o)&(a&o))))
| 1 | 1 | 0 | 0 |
entailment
|
(((~((i>i))|(a&j))&u)&(a>u))
|
~((~(e)&((a>o)&(a&o))))
| 0 | 1 | 0 | 0 |
not entailment
|
((u|(l>l))&(~((u|o))&~(o)))
|
((((p&(p&i))|o)&i)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(o&i)
|
(~(~(~(((e|o)&o))))|(j|i))
| 1 | 0 | 0 | 0 |
entailment
|
(a&~((e&(e&p))))
|
~((~(((((e|i)|u)|~(i))>(j>a)))&p))
| 1 | 0 | 0 | 0 |
entailment
|
(o&i)
|
~((~(((((e|i)|u)|~(i))>(j>a)))&p))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&~((e&(e&p))))
|
(~(~(~(((e|o)&o))))|(j|i))
| 0 | 0 | 0 | 0 |
not entailment
|
((o|o)&((a&p)>e))
|
~((~((o&o))&~(l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((a|~((e&e)))>((~((a>e))>i)|u)))
|
~(((l|(a|~(i)))>i))
| 1 | 1 | 0 | 0 |
entailment
|
((o|o)&((a&p)>e))
|
~(((l|(a|~(i)))>i))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a|~((e&e)))>((~((a>e))>i)|u)))
|
~((~((o&o))&~(l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&j)
|
((u|l)>(((j>((e|p)&j))|(j|(p&p)))>(j|l)))
| 1 | 0 | 0 | 0 |
entailment
|
(o&~(a))
|
(a>(p|(u|o)))
| 1 | 0 | 0 | 0 |
entailment
|
(i&j)
|
(a>(p|(u|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&~(a))
|
((u|l)>(((j>((e|p)&j))|(j|(p&p)))>(j|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((u|(u&~((i&p))))|o)
|
((~(o)>u)|j)
| 1 | 1 | 0 | 0 |
entailment
|
~((o|~(((~(o)&e)>~(o)))))
|
((o|(e|j))>(j|((a|u)>e)))
| 1 | 1 | 0 | 0 |
entailment
|
((u|(u&~((i&p))))|o)
|
((o|(e|j))>(j|((a|u)>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((o|~(((~(o)&e)>~(o)))))
|
((~(o)>u)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((p&l)|(u>((i|a)>(((u>a)&j)>l)))))
|
((a&j)|(l&(~((l>j))>o)))
| 1 | 1 | 0 | 0 |
entailment
|
(l&(e>~((l|(p>j)))))
|
(~((((a>(u>i))&o)>i))|(e>(a>o)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p&l)|(u>((i|a)>(((u>a)&j)>l)))))
|
(~((((a>(u>i))&o)>i))|(e>(a>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&(e>~((l|(p>j)))))
|
((a&j)|(l&(~((l>j))>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((p&a))>(a|o))>((j&e)>(u>(l&p)))))
|
((e|(j>e))>(e|(i>(u>e))))
| 1 | 1 | 0 | 0 |
entailment
|
((((j>o)|o)|(j&l))&l)
|
(l|~(a))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((p&a))>(a|o))>((j&e)>(u>(l&p)))))
|
(l|~(a))
| 0 | 1 | 1 | 0 |
not entailment
|
((((j>o)|o)|(j&l))&l)
|
((e|(j>e))>(e|(i>(u>e))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((p>a)|l)|~(i)))
|
((((o|~(o))&j)>p)>(p|(~((l>o))&o)))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(~(o)&(~(l)>~((p>u)))))
|
(~((~(~(j))>(i>l)))>(e|(i&o)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((p>a)|l)|~(i)))
|
(~((~(~(j))>(i>l)))>(e|(i&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&(~(o)&(~(l)>~((p>u)))))
|
((((o|~(o))&j)>p)>(p|(~((l>o))&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u&p)>~((p&l))))
|
((p>l)>(u|l))
| 1 | 1 | 1 | 0 |
entailment
|
~(((i|((u|o)&i))>(a>o)))
|
~(((a|j)>((l|l)&(p&(a>o)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u&p)>~((p&l))))
|
~(((a|j)>((l|l)&(p&(a>o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((i|((u|o)&i))>(a>o)))
|
((p>l)>(u|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((l&j)>(a&~(p))))))
|
(((i&j)|(i|j))|((~(o)>u)>e))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a|~(u))>(a|(o&l))))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(((l&j)>(a&~(p))))))
|
~(u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a|~(u))>(a|(o&l))))
|
(((i&j)|(i|j))|((~(o)>u)>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&((u>(j&l))&(p&(((j>j)|a)>e))))
|
((u>p)>(e&e))
| 1 | 1 | 1 | 0 |
entailment
|
((u>i)&(~(u)>u))
|
(i|(((j&(u&(i&a)))|((o&(p&e))&i))|~(e)))
| 1 | 0 | 0 | 0 |
entailment
|
(a&((u>(j&l))&(p&(((j>j)|a)>e))))
|
(i|(((j&(u&(i&a)))|((o&(p&e))&i))|~(e)))
| 0 | 0 | 0 | 0 |
not entailment
|
((u>i)&(~(u)>u))
|
((u>p)>(e&e))
| 0 | 1 | 0 | 0 |
not entailment
|
(((o>~(i))&p)&(i|(p>((u&i)&a))))
|
(~(((u|(l&o))|a))>((o&j)|((e>p)|(u&l))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~(p)&e))|(l>~((i|u)))))
|
(~(((((a>u)>e)&(u&j))|p))|e)
| 1 | 1 | 0 | 0 |
entailment
|
(((o>~(i))&p)&(i|(p>((u&i)&a))))
|
(~(((((a>u)>e)&(u&j))|p))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((~(p)&e))|(l>~((i|u)))))
|
(~(((u|(l&o))|a))>((o&j)|((e>p)|(u&l))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((i|a)>a)&(~(a)>i))&i)
|
((~(a)&(j|l))>(e>l))
| 1 | 1 | 0 | 0 |
entailment
|
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