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 |
|---|---|---|---|---|---|---|
(w&((n&n)|d))
|
(d>(~(m)|w))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((m&~(n))))
|
(((k|(~(n)>e))&w)|(m|e))
| 1 | 0 | 0 | 0 |
entailment
|
(w&((n&n)|d))
|
(((k|(~(n)>e))&w)|(m|e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((m&~(n))))
|
(d>(~(m)|w))
| 0 | 1 | 0 | 0 |
not entailment
|
~((k>(n&~((d&~((k&m)))))))
|
((d&m)>(k|k))
| 1 | 1 | 1 | 0 |
entailment
|
(e&~(~(((w&((d>w)>(m|n)))&(m>w)))))
|
(((n&k)|e)|((d&e)&~((m|(n|d)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((k>(n&~((d&~((k&m)))))))
|
(((n&k)|e)|((d&e)&~((m|(n|d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&~(~(((w&((d>w)>(m|n)))&(m>w)))))
|
((d&m)>(k|k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k|~(e))|(d&e)))
|
~(~((k|e)))
| 1 | 1 | 1 | 0 |
entailment
|
((m|w)&((w>(~(n)|k))>(n&(w&w))))
|
((d>~((w&n)))>(n|w))
| 1 | 1 | 0 | 0 |
entailment
|
~(((k|~(e))|(d&e)))
|
((d>~((w&n)))>(n|w))
| 0 | 1 | 0 | 0 |
not entailment
|
((m|w)&((w>(~(n)|k))>(n&(w&w))))
|
~(~((k|e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e>(m|(m&m)))>((m|e)|d)))
|
~(((n>k)&~(~((n&(n&e))))))
| 1 | 1 | 0 | 0 |
entailment
|
(e&m)
|
((w>((k&e)|e))&e)
| 1 | 0 | 0 | 0 |
entailment
|
~(((e>(m|(m&m)))>((m|e)|d)))
|
((w>((k&e)|e))&e)
| 0 | 1 | 0 | 0 |
not entailment
|
(e&m)
|
~(((n>k)&~(~((n&(n&e))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((k|~((d&(k>(n&m)))))&((n|d)|k))
|
(~((~(~(~(~(((n|n)|w)))))&d))|k)
| 1 | 0 | 0 | 0 |
entailment
|
((d&e)|(k&~(~(((n>d)>d)))))
|
(((e&(~(w)|(d>(w&d))))|e)|((w>w)&(w|k)))
| 1 | 0 | 0 | 0 |
entailment
|
((k|~((d&(k>(n&m)))))&((n|d)|k))
|
(((e&(~(w)|(d>(w&d))))|e)|((w>w)&(w|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&e)|(k&~(~(((n>d)>d)))))
|
(~((~(~(~(~(((n|n)|w)))))&d))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
(((n|e)>~(((n|m)>n)))&(e&k))
|
(~(((~(w)&d)|m))>(w>m))
| 1 | 1 | 0 | 0 |
entailment
|
~((w>~(~(~(d)))))
|
(((n>d)&m)>(((n|d)>(n|w))&m))
| 1 | 0 | 0 | 0 |
entailment
|
(((n|e)>~(((n|m)>n)))&(e&k))
|
(((n>d)&m)>(((n|d)>(n|w))&m))
| 0 | 1 | 0 | 0 |
not entailment
|
~((w>~(~(~(d)))))
|
(~(((~(w)&d)|m))>(w>m))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((m|k)>((e>~(n))|(d&n))))
|
(~((d>(m&e)))>~((k&w)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((d>m)|~(~((m&n)))))
|
((((n&e)&~(w))&~(~(w)))|(e>d))
| 1 | 0 | 0 | 0 |
entailment
|
~(((m|k)>((e>~(n))|(d&n))))
|
((((n&e)&~(w))&~(~(w)))|(e>d))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((d>m)|~(~((m&n)))))
|
(~((d>(m&e)))>~((k&w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((e&(n|w))))
|
(m>e)
| 1 | 1 | 0 | 0 |
entailment
|
(~((k>d))|(d&m))
|
((k>~(~(m)))>(((k&w)>((e&k)&k))>(d|m)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((e&(n|w))))
|
((k>~(~(m)))>(((k&w)>((e&k)&k))>(d|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((k>d))|(d&m))
|
(m>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(n)
|
(n>(~((w&k))&e))
| 1 | 0 | 0 | 0 |
entailment
|
((e>e)>d)
|
(e>(d|w))
| 1 | 1 | 0 | 0 |
entailment
|
~(n)
|
(e>(d|w))
| 0 | 0 | 0 | 0 |
not entailment
|
((e>e)>d)
|
(n>(~((w&k))&e))
| 0 | 0 | 0 | 0 |
not entailment
|
(((n&m)|~(e))&w)
|
((w&k)|(w|(~(k)&(e&w))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((n|m)>(e>n)))
|
(d>(k|m))
| 1 | 1 | 0 | 0 |
entailment
|
(((n&m)|~(e))&w)
|
(d>(k|m))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((n|m)>(e>n)))
|
((w&k)|(w|(~(k)&(e&w))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(d))&~(~(m)))
|
(((m&m)|m)|(n>(((e>e)&e)>((w>(m>n))&k))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((m>d)>w))>~((d>n)))&~((m|d)))
|
~((w>d))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(d))&~(~(m)))
|
~((w>d))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((m>d)>w))>~((d>n)))&~((m|d)))
|
(((m&m)|m)|(n>(((e>e)&e)>((w>(m>n))&k))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((k|w))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
((~((e&m))&k)&e)
|
~(((k>(m|~((k&e))))&~(((m|k)&w))))
| 1 | 0 | 0 | 0 |
entailment
|
~((k|w))
|
~(((k>(m|~((k&e))))&~(((m|k)&w))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((e&m))&k)&e)
|
~(k)
| 0 | 1 | 1 | 0 |
not entailment
|
(d&~(~(((y|d)&d))))
|
((~((~(d)|d))>x)>d)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~((u&e))>v)))
|
(~(e)>v)
| 1 | 1 | 1 | 1 |
entailment
|
(d&~(~(((y|d)&d))))
|
(~(e)>v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~((u&e))>v)))
|
((~((~(d)|d))>x)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(x&l)
|
(~(y)>(l|x))
| 1 | 0 | 0 | 0 |
entailment
|
(g&m)
|
((~(~(((m>g)>x)))>g)|((x|l)>((l>g)&g)))
| 1 | 0 | 0 | 0 |
entailment
|
(x&l)
|
((~(~(((m>g)>x)))>g)|((x|l)>((l>g)&g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&m)
|
(~(y)>(l|x))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((e|~((~(d)>~(e))))))
|
(~((x|((l&m)>e)))>(((e>m)&m)>g))
| 1 | 0 | 0 | 0 |
entailment
|
(((d>y)&m)|(v&(x&m)))
|
(g|(g|m))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((e|~((~(d)>~(e))))))
|
(g|(g|m))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d>y)&m)|(v&(x&m)))
|
(~((x|((l&m)>e)))>(((e>m)&m)>g))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((g&(x>x))&g)&~(x)))>~(e))
|
(~((e|(d>e)))|(u|(x>(e>(v|m)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((((l|(d>m))|x)&(g|x))&(l&e))))
|
((m|l)|v)
| 1 | 1 | 0 | 0 |
entailment
|
(~((((g&(x>x))&g)&~(x)))>~(e))
|
((m|l)|v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((((l|(d>m))|x)&(g|x))&(l&e))))
|
(~((e|(d>e)))|(u|(x>(e>(v|m)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((x|x)|(v&(x|m)))|(e&l)))
|
(x>~(e))
| 1 | 1 | 1 | 1 |
entailment
|
~((e>v))
|
(((v>x)|m)|(~((y&l))>(m&u)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((x|x)|(v&(x|m)))|(e&l)))
|
(((v>x)|m)|(~((y&l))>(m&u)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>v))
|
(x>~(e))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(~((d>m)))&v)&v)&~(e))
|
(~(m)|v)
| 1 | 1 | 1 | 0 |
entailment
|
(~(((e&d)|x))&e)
|
~(~((d>g)))
| 1 | 1 | 0 | 0 |
entailment
|
(((~(~((d>m)))&v)&v)&~(e))
|
~(~((d>g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((e&d)|x))&e)
|
(~(m)|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(d)&~(e)))&(y&v))
|
(~((u>y))>g)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((((l&g)>(l&v))|v)&~(~(d)))))
|
(d|(~(((d|g)>~((m&m))))&(e&((u>y)&y))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(d)&~(e)))&(y&v))
|
(d|(~(((d|g)>~((m&m))))&(e&((u>y)&y))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((((l&g)>(l&v))|v)&~(~(d)))))
|
(~((u>y))>g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((y>u)|(d>v)))))
|
((((e|y)&e)>e)&(u>v))
| 1 | 1 | 0 | 0 |
entailment
|
((u>x)&(u&((y>u)&u)))
|
(((y&(m|(~(u)|l)))|x)&(u|e))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((y>u)|(d>v)))))
|
(((y&(m|(~(u)|l)))|x)&(u|e))
| 0 | 0 | 0 | 0 |
not entailment
|
((u>x)&(u&((y>u)&u)))
|
((((e|y)&e)>e)&(u>v))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(~(((u&v)&m)))))&((d|e)|e))
|
((((v&e)|((e>~(m))&d))&(m&d))|((x|y)>v))
| 1 | 0 | 0 | 0 |
entailment
|
((d|m)&d)
|
((m|x)>(d|~(l)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(~(((u&v)&m)))))&((d|e)|e))
|
((m|x)>(d|~(l)))
| 0 | 1 | 0 | 0 |
not entailment
|
((d|m)&d)
|
((((v&e)|((e>~(m))&d))&(m&d))|((x|y)>v))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((v&x)>(l>m)))
|
(y|(~(((~(l)|(v&v))&m))&(~(y)|d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d>x)&e))
|
(x>~(((e&l)&e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((v&x)>(l>m)))
|
(x>~(((e&l)&e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d>x)&e))
|
(y|(~(((~(l)|(v&v))&m))&(~(y)|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e>~(x))&(l&e))
|
((((d&e)>d)>~(l))>((u|l)>(e|(y&(l|d)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((g&(d|m))>(v|l))|((u>l)&~(~(g))))&x)
|
(((x|y)>x)|u)
| 1 | 1 | 0 | 0 |
entailment
|
((e>~(x))&(l&e))
|
(((x|y)>x)|u)
| 0 | 1 | 0 | 0 |
not entailment
|
((((g&(d|m))>(v|l))|((u>l)&~(~(g))))&x)
|
((((d&e)>d)>~(l))>((u|l)>(e|(y&(l|d)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&e)&(((x>m)>x)|(y|g)))
|
(((m|e)|(m&e))|((~((x|x))&g)>((e|l)>u)))
| 1 | 0 | 0 | 0 |
entailment
|
((m|~((v&m)))>(~((v&x))&(l&g)))
|
(u|(l|~((g|(((y|x)&y)>~((m&d)))))))
| 1 | 0 | 0 | 0 |
entailment
|
((d&e)&(((x>m)>x)|(y|g)))
|
(u|(l|~((g|(((y|x)&y)>~((m&d)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((m|~((v&m)))>(~((v&x))&(l&g)))
|
(((m|e)|(m&e))|((~((x|x))&g)>((e|l)>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g>y)>(l>~(x))))
|
~(~((((u>(g&u))&(e&v))|x)))
| 1 | 0 | 0 | 0 |
entailment
|
(e&(((u>(d|v))|m)>(((m&v)>y)|x)))
|
(~(y)>e)
| 1 | 1 | 1 | 1 |
entailment
|
~(((g>y)>(l>~(x))))
|
(~(y)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(e&(((u>(d|v))|m)>(((m&v)>y)|x)))
|
~(~((((u>(g&u))&(e&v))|x)))
| 0 | 1 | 0 | 0 |
not entailment
|
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