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 |
|---|---|---|---|---|---|---|
(~(~((((u|g)>~((g>g)))>(d&u))))&(g&d))
|
(~(u)>d)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((d&u)|(g&d)))&~(~(g)))
|
(d>~((~(((u&u)>(u|d)))|u)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((((u|g)>~((g>g)))>(d&u))))&(g&d))
|
(d>~((~(((u&u)>(u|d)))|u)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((d&u)|(g&d)))&~(~(g)))
|
(~(u)>d)
| 0 | 1 | 1 | 0 |
not entailment
|
~((g>d))
|
((g|d)&(~(g)>(d>g)))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(~(((u>d)&d)))>(d&(d>g))))
|
((d>(d&u))>(u|u))
| 1 | 1 | 1 | 0 |
entailment
|
~((g>d))
|
((d>(d&u))>(u|u))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(((u>d)&d)))>(d&(d>g))))
|
((g|d)&(~(g)>(d>g)))
| 0 | 1 | 1 | 0 |
not entailment
|
(g&(d|~(g)))
|
(d>(u|((d&g)&((u&g)>u))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((((g&g)&g)>~(d)))&(u|g)))
|
(g>(d>((u>(u&g))>~(~((~(g)&u))))))
| 1 | 0 | 1 | 0 |
entailment
|
(g&(d|~(g)))
|
(g>(d>((u>(u&g))>~(~((~(g)&u))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((((g&g)&g)>~(d)))&(u|g)))
|
(d>(u|((d&g)&((u&g)>u))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((u>d))
|
(~(u)>(g|g))
| 1 | 0 | 0 | 0 |
entailment
|
((((d>g)&g)&(~(g)&(u|u)))|~((d>u)))
|
((~(g)>d)&(d|(d&((u|u)&~(d)))))
| 1 | 1 | 1 | 1 |
entailment
|
~((u>d))
|
((~(g)>d)&(d|(d&((u|u)&~(d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((d>g)&g)&(~(g)&(u|u)))|~((d>u)))
|
(~(u)>(g|g))
| 0 | 1 | 1 | 1 |
not entailment
|
((u>d)&g)
|
((d|(d|u))>g)
| 1 | 0 | 1 | 0 |
entailment
|
(d&(u>u))
|
((d|~(g))&(d&d))
| 1 | 0 | 0 | 0 |
entailment
|
((u>d)&g)
|
((d|~(g))&(d&d))
| 0 | 0 | 1 | 0 |
not entailment
|
(d&(u>u))
|
((d|(d|u))>g)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(d)>d)&(u&u))
|
(d|g)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((u|d))&u)|((d>((g>g)>u))>g)))
|
~(g)
| 1 | 1 | 1 | 1 |
entailment
|
((~(d)>d)&(u&u))
|
~(g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((u|d))&u)|((d>((g>g)>u))>g)))
|
(d|g)
| 0 | 1 | 1 | 1 |
not entailment
|
~((x>((((j>(o>o))>(o>x))|x)&~((o&o)))))
|
((o>x)>(((j>x)&j)|x))
| 1 | 1 | 1 | 0 |
entailment
|
~((((x>x)|~((~(o)&o)))>((j|j)|o)))
|
((x>(~(j)|~((x>x))))&(j>((j>x)&o)))
| 1 | 1 | 1 | 1 |
entailment
|
~((x>((((j>(o>o))>(o>x))|x)&~((o&o)))))
|
((x>(~(j)|~((x>x))))&(j>((j>x)&o)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((x>x)|~((~(o)&o)))>((j|j)|o)))
|
((o>x)>(((j>x)&j)|x))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((j>j)>~(j)))
|
(o>(~((j&o))>j))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(x))
|
(~((x|x))>x)
| 1 | 0 | 1 | 1 |
entailment
|
~(((j>j)>~(j)))
|
(~((x|x))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(x))
|
(o>(~((j&o))>j))
| 0 | 0 | 0 | 0 |
not entailment
|
((x|j)&(j|o))
|
((((o&x)>~((j|j)))>~((~((x>j))|j)))>o)
| 1 | 0 | 1 | 0 |
entailment
|
(~((j|(x&(x|(j>o)))))&~(o))
|
(j>(x>o))
| 1 | 1 | 1 | 0 |
entailment
|
((x|j)&(j|o))
|
(j>(x>o))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((j|(x&(x|(j>o)))))&~(o))
|
((((o&x)>~((j|j)))>~((~((x>j))|j)))>o)
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(x))
|
((o>~(((o|j)|o)))|(x|j))
| 1 | 0 | 0 | 0 |
entailment
|
(o>~(x))
|
((o&(o&(~((o>j))|((o>j)>(o>x)))))>~(j))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(x))
|
((o&(o&(~((o>j))|((o>j)>(o>x)))))>~(j))
| 0 | 0 | 0 | 0 |
not entailment
|
(o>~(x))
|
((o>~(((o|j)|o)))|(x|j))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&~((~(o)&((((j|o)|j)|j)&x))))
|
((o|j)&(o&(o>o)))
| 1 | 1 | 1 | 0 |
entailment
|
(j>x)
|
((j>(x&~(x)))|(x|(j&~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
(o&~((~(o)&((((j|o)|j)|j)&x))))
|
((j>(x&~(x)))|(x|(j&~(o))))
| 0 | 1 | 1 | 0 |
not entailment
|
(j>x)
|
((o|j)&(o&(o>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
((o&(j|(o&x)))&((x|~(o))&x))
|
(((j>j)|(o&o))&x)
| 1 | 1 | 1 | 0 |
entailment
|
~((j>x))
|
(j|j)
| 1 | 1 | 1 | 1 |
entailment
|
((o&(j|(o&x)))&((x|~(o))&x))
|
(j|j)
| 0 | 1 | 1 | 1 |
not entailment
|
~((j>x))
|
(((j>j)|(o&o))&x)
| 0 | 0 | 0 | 0 |
not entailment
|
~((x>~(((o>~(((j|j)|j)))&j))))
|
(((j&j)&~(o))|(~(o)|((o>x)&j)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((o|~(~((j&(o&(o|(x&j)))))))))
|
~(~((o|((j&o)&~(j)))))
| 1 | 1 | 1 | 0 |
entailment
|
~((x>~(((o>~(((j|j)|j)))&j))))
|
~(~((o|((j&o)&~(j)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((o|~(~((j&(o&(o|(x&j)))))))))
|
(((j&j)&~(o))|(~(o)|((o>x)&j)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((o&j)|x))
|
((o|(x>j))|(j|j))
| 1 | 0 | 1 | 0 |
entailment
|
((x|(x&o))&((j>o)|((x&~(o))>(o&j))))
|
((~(o)&o)|(x|~(~(j))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((o&j)|x))
|
((~(o)&o)|(x|~(~(j))))
| 0 | 0 | 1 | 0 |
not entailment
|
((x|(x&o))&((j>o)|((x&~(o))>(o&j))))
|
((o|(x>j))|(j|j))
| 0 | 1 | 1 | 1 |
not entailment
|
(((x>j)|((o&x)>~(o)))>(o&o))
|
(o|~((j>x)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((x>j)&x)|(x&j)))
|
~((x&j))
| 1 | 1 | 1 | 1 |
entailment
|
(((x>j)|((o&x)>~(o)))>(o&o))
|
~((x&j))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((x>j)&x)|(x&j)))
|
(o|~((j>x)))
| 0 | 1 | 0 | 0 |
not entailment
|
((x>j)&(~((x|j))&((j|o)>x)))
|
((j>o)>(~(x)|(((x>x)|~(j))&o)))
| 1 | 0 | 1 | 0 |
entailment
|
~((((x&j)|(~(x)|j))|j))
|
(~((((j>(o|x))|~(j))&(x|~(x))))|x)
| 1 | 0 | 0 | 0 |
entailment
|
((x>j)&(~((x|j))&((j|o)>x)))
|
(~((((j>(o|x))|~(j))&(x|~(x))))|x)
| 0 | 0 | 1 | 1 |
not entailment
|
~((((x&j)|(~(x)|j))|j))
|
((j>o)>(~(x)|(((x>x)|~(j))&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((x>o)|j)&o)
|
~((~((j>o))&j))
| 1 | 0 | 1 | 0 |
entailment
|
(((x|o)|((~(j)&j)>o))&j)
|
((j>j)>((j|x)|(o>x)))
| 1 | 1 | 1 | 0 |
entailment
|
(((x>o)|j)&o)
|
((j>j)>((j|x)|(o>x)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((x|o)|((~(j)&j)>o))&j)
|
~((~((j>o))&j))
| 0 | 1 | 1 | 1 |
not entailment
|
(((o&(j&j))&j)&(x>(x|((j>x)&(x|(j&o))))))
|
(((o>(x>x))&~(~((o>o))))>(~(o)>(x>j)))
| 1 | 1 | 1 | 0 |
entailment
|
(~((x>o))&~((o&(j>(j>j)))))
|
(~(((x|(j>~(o)))|x))|~(o))
| 1 | 1 | 1 | 0 |
entailment
|
(((o&(j&j))&j)&(x>(x|((j>x)&(x|(j&o))))))
|
(~(((x|(j>~(o)))|x))|~(o))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((x>o))&~((o&(j>(j>j)))))
|
(((o>(x>x))&~(~((o>o))))>(~(o)>(x>j)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((o|(o|j))&~((o|o))))
|
(j>(o|x))
| 1 | 1 | 0 | 0 |
entailment
|
(((o>o)>j)&((j&~(j))>(o&x)))
|
(j|((j&x)&(~((x|x))&(j|x))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((o|(o|j))&~((o|o))))
|
(j|((j&x)&(~((x|x))&(j|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((o>o)>j)&((j&~(j))>(o&x)))
|
(j>(o|x))
| 0 | 1 | 1 | 1 |
not entailment
|
((o|(x|j))>((~(~(o))&(j>j))|(j|o)))
|
(~(((x>o)>o))|(o|(((j>o)>o)&j)))
| 1 | 1 | 1 | 1 |
entailment
|
((((j>~((j>o)))&((x|o)>((j&o)>x)))&x)|j)
|
(x|j)
| 1 | 1 | 1 | 1 |
entailment
|
((o|(x|j))>((~(~(o))&(j>j))|(j|o)))
|
(x|j)
| 0 | 1 | 1 | 0 |
not entailment
|
((((j>~((j>o)))&((x|o)>((j&o)>x)))&x)|j)
|
(~(((x>o)>o))|(o|(((j>o)>o)&j)))
| 0 | 1 | 1 | 0 |
not entailment
|
((l&(~(m)&m))|h)
|
(e|(l>h))
| 1 | 1 | 0 | 0 |
entailment
|
(((((l&l)>m)|e)&~(~(~(~((m>l))))))&m)
|
((l>(e|l))&(((h|m)|(e&h))&m))
| 1 | 1 | 0 | 0 |
entailment
|
((l&(~(m)&m))|h)
|
((l>(e|l))&(((h|m)|(e&h))&m))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((l&l)>m)|e)&~(~(~(~((m>l))))))&m)
|
(e|(l>h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((m&e)&(((l&h)>h)>m))))&m)
|
((e&l)|e)
| 1 | 1 | 1 | 1 |
entailment
|
~((m&e))
|
(((h|(h&(~(l)>m)))|((m&e)>l))|(e>h))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((m&e)&(((l&h)>h)>m))))&m)
|
(((h|(h&(~(l)>m)))|((m&e)>l))|(e>h))
| 0 | 0 | 1 | 0 |
not entailment
|
~((m&e))
|
((e&l)|e)
| 0 | 1 | 0 | 0 |
not entailment
|
((m>(m&l))&h)
|
((h>~(~(h)))>(~(~((l&m)))>(l&h)))
| 1 | 0 | 1 | 0 |
entailment
|
(e|e)
|
(~(~((l>e)))|m)
| 1 | 0 | 0 | 0 |
entailment
|
((m>(m&l))&h)
|
(~(~((l>e)))|m)
| 0 | 0 | 0 | 0 |
not entailment
|
(e|e)
|
((h>~(~(h)))>(~(~((l&m)))>(l&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((m>(m>m))>~((e>(m>l))))
|
((~(~(h))>(e&m))&(h>((h|h)|e)))
| 1 | 0 | 0 | 0 |
entailment
|
((((m|(l|l))&l)|e)&(h&(e>l)))
|
(e>l)
| 1 | 1 | 1 | 1 |
entailment
|
((m>(m>m))>~((e>(m>l))))
|
(e>l)
| 0 | 1 | 1 | 0 |
not entailment
|
((((m|(l|l))&l)|e)&(h&(e>l)))
|
((~(~(h))>(e&m))&(h>((h|h)|e)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((l|e)|e))
|
(((l|l)|l)>(~((h|e))>(((l>e)>e)&e)))
| 1 | 0 | 0 | 0 |
entailment
|
(l|((m&(e>l))&h))
|
(l|m)
| 1 | 1 | 1 | 1 |
entailment
|
~(((l|e)|e))
|
(l|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(l|((m&(e>l))&h))
|
(((l|l)|l)>(~((h|e))>(((l>e)>e)&e)))
| 0 | 0 | 1 | 0 |
not entailment
|
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