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 |
|---|---|---|---|---|---|---|
(((m|y)&~(((a|h)>~(a))))&(c>((a>h)&a)))
|
((a|~(b))|(k|((c>(c|m))>~(y))))
| 1 | 1 | 0 | 0 |
entailment
|
(m&(((y>(h|c))>k)|m))
|
((k|b)|(m|~((y&h))))
| 1 | 1 | 0 | 0 |
entailment
|
(((m|y)&~(((a|h)>~(a))))&(c>((a>h)&a)))
|
((k|b)|(m|~((y&h))))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&(((y>(h|c))>k)|m))
|
((a|~(b))|(k|((c>(c|m))>~(y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)&a)
|
(a|~(k))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(~(~(~(m))))&~(b))>~((h>y))))
|
(h>y)
| 1 | 1 | 1 | 1 |
entailment
|
(~(y)&a)
|
(h>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(~(~(~(m))))&~(b))>~((h>y))))
|
(a|~(k))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y>k)|((h|b)>(y>(a>m))))&h)
|
~((~((c>(c&h)))&y))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(h)>h))&~(m))
|
((h>(k&m))|(m>(k|b)))
| 1 | 1 | 0 | 0 |
entailment
|
(((y>k)|((h|b)>(y>(a>m))))&h)
|
((h>(k&m))|(m>(k|b)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~(h)>h))&~(m))
|
~((~((c>(c&h)))&y))
| 0 | 1 | 0 | 0 |
not entailment
|
~((a>h))
|
~(~((((c&~((a|a)))>k)&(k|a))))
| 1 | 0 | 0 | 0 |
entailment
|
((a>a)&~(b))
|
(((b|h)>((~((h&b))>a)&y))|(h|(c&b)))
| 1 | 0 | 0 | 0 |
entailment
|
~((a>h))
|
(((b|h)>((~((h&b))>a)&y))|(h|(c&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((a>a)&~(b))
|
~(~((((c&~((a|a)))>k)&(k|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(m))
|
((a|(m|b))|((a|y)>a))
| 1 | 0 | 0 | 0 |
entailment
|
((k&h)&(c>(a>m)))
|
((~(~(k))>(~(h)>(c&((y>m)|(m>y)))))>k)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(m))
|
((~(~(k))>(~(h)>(c&((y>m)|(m>y)))))>k)
| 0 | 0 | 0 | 0 |
not entailment
|
((k&h)&(c>(a>m)))
|
((a|(m|b))|((a|y)>a))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((a&((a|(a>~((b|(y>k)))))>(y&a)))))
|
(m|((m|a)|h))
| 1 | 1 | 0 | 0 |
entailment
|
((((y|k)&k)&c)|k)
|
((k&~((m|(((m|m)&y)&~((k|(k|b)))))))|k)
| 1 | 0 | 0 | 0 |
entailment
|
~(~((a&((a|(a>~((b|(y>k)))))>(y&a)))))
|
((k&~((m|(((m|m)&y)&~((k|(k|b)))))))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((((y|k)&k)&c)|k)
|
(m|((m|a)|h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((b>k))|((a>~((b&b)))&(m&~(k))))
|
(((b&k)&(m|y))|(k>~(~(((m|y)&y)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(b)
|
~((b&(((h|k)|(h&m))>b)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((b>k))|((a>~((b&b)))&(m&~(k))))
|
~((b&(((h|k)|(h&m))>b)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(b)
|
(((b&k)&(m|y))|(k>~(~(((m|y)&y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m|m)
|
((h>m)&(c>m))
| 1 | 0 | 0 | 0 |
entailment
|
(k&b)
|
((y&y)>(k&y))
| 1 | 0 | 0 | 0 |
entailment
|
(m|m)
|
((y&y)>(k&y))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&b)
|
((h>m)&(c>m))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(~(~(m))))|(y|y))&(~(a)&b))
|
((c>(~(c)&(h|y)))|b)
| 1 | 1 | 0 | 0 |
entailment
|
(~(y)&~(((c|k)>y)))
|
((y>c)|~(k))
| 1 | 1 | 1 | 0 |
entailment
|
((~(~(~(~(m))))|(y|y))&(~(a)&b))
|
((y>c)|~(k))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(y)&~(((c|k)>y)))
|
((c>(~(c)&(h|y)))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&((m|k)|((b&a)>h)))
|
((y>(~(b)>k))|~((y|a)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(k)&~((a|~(m))))
|
(((m>k)>(((y|b)>h)&c))&((m|(y>y))|k))
| 1 | 0 | 0 | 0 |
entailment
|
(b&((m|k)|((b&a)>h)))
|
(((m>k)>(((y|b)>h)&c))&((m|(y>y))|k))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(k)&~((a|~(m))))
|
((y>(~(b)>k))|~((y|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((~(y)>m)>k)|(k>m))&(b&y))&(y>y))
|
((((h&~(b))>m)&(a|(k|b)))|(a|h))
| 1 | 1 | 0 | 0 |
entailment
|
~(((c|~((a>y)))|k))
|
(((k|c)>~((h>(y>h))))|(h&k))
| 1 | 0 | 0 | 0 |
entailment
|
(((((~(y)>m)>k)|(k>m))&(b&y))&(y>y))
|
(((k|c)>~((h>(y>h))))|(h&k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((c|~((a>y)))|k))
|
((((h&~(b))>m)&(a|(k|b)))|(a|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(c|m))
|
(c|m)
| 1 | 1 | 1 | 1 |
entailment
|
~((h>~(a)))
|
(a|(h>m))
| 1 | 1 | 0 | 0 |
entailment
|
(k&(c|m))
|
(a|(h>m))
| 0 | 1 | 0 | 0 |
not entailment
|
~((h>~(a)))
|
(c|m)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((u|u))>u)&u)
|
((~(((u>u)|u))|~(u))>u)
| 1 | 0 | 1 | 0 |
entailment
|
~((u|(u|u)))
|
(u>((u>(u|(~(u)|u)))>~(u)))
| 1 | 0 | 1 | 0 |
entailment
|
((~((u|u))>u)&u)
|
(u>((u>(u|(~(u)|u)))>~(u)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((u|(u|u)))
|
((~(((u>u)|u))|~(u))>u)
| 0 | 0 | 1 | 0 |
not entailment
|
(u|((u|(u|u))&(u>u)))
|
(~(~((u>u)))&~((((u&u)|u)>~((u>u)))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((u>((u>u)>u))>(u&u)))
|
~((((u&u)&u)|u))
| 1 | 1 | 1 | 1 |
entailment
|
(u|((u|(u|u))&(u>u)))
|
~((((u&u)&u)|u))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((u>((u>u)>u))>(u&u)))
|
(~(~((u>u)))&~((((u&u)|u)>~((u>u)))))
| 0 | 0 | 1 | 1 |
not entailment
|
(u&(u|~(u)))
|
(((u>u)&u)&u)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((~((u&u))|u))|~(~((~(u)>u)))))
|
(u>~((u|u)))
| 1 | 1 | 1 | 1 |
entailment
|
(u&(u|~(u)))
|
(u>~((u|u)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~((~((u&u))|u))|~(~((~(u)>u)))))
|
(((u>u)&u)&u)
| 0 | 1 | 1 | 1 |
not entailment
|
(u&u)
|
((u>u)>(u|(u|u)))
| 1 | 0 | 1 | 0 |
entailment
|
~((u&u))
|
~(((u|u)|(((u&u)|~(u))>~(((u>u)|u)))))
| 1 | 0 | 1 | 0 |
entailment
|
(u&u)
|
~(((u|u)|(((u&u)|~(u))>~(((u>u)|u)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((u&u))
|
((u>u)>(u|(u|u)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~(u))&((((u&u)|u)&u)>u))
|
(~(u)>u)
| 1 | 1 | 1 | 1 |
entailment
|
(~(u)&(~(~(u))>(u&((u|u)>u))))
|
~(~(~((((u&(u|u))|u)&u))))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(u))&((((u&u)|u)&u)>u))
|
~(~(~((((u&(u|u))|u)&u))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(u)&(~(~(u))>(u&((u|u)>u))))
|
(~(u)>u)
| 0 | 1 | 1 | 1 |
not entailment
|
(u|~((~((u&(u&u)))|((u&u)|u))))
|
(((((u|(u>u))>u)&((u&u)|u))&u)&(u&u))
| 1 | 0 | 1 | 1 |
entailment
|
((u>(u&u))>~(((u&u)|(u&u))))
|
~(((u|(u>u))&(~(u)>u)))
| 1 | 1 | 1 | 1 |
entailment
|
(u|~((~((u&(u&u)))|((u&u)|u))))
|
~(((u|(u>u))&(~(u)>u)))
| 0 | 1 | 1 | 1 |
not entailment
|
((u>(u&u))>~(((u&u)|(u&u))))
|
(((((u|(u>u))>u)&((u&u)|u))&u)&(u&u))
| 0 | 0 | 1 | 1 |
not entailment
|
((h&p)&(t|(b>b)))
|
(h|j)
| 1 | 1 | 0 | 0 |
entailment
|
(e&l)
|
((t&h)|((o|t)|~(~(l))))
| 1 | 0 | 0 | 0 |
entailment
|
((h&p)&(t|(b>b)))
|
((t&h)|((o|t)|~(~(l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&l)
|
(h|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((h|h)))
|
(~((~(o)&((e>y)|(e|h))))|(y>(j>h)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&p)
|
(e>l)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((h|h)))
|
(e>l)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&p)
|
(~((~(o)&((e>y)|(e|h))))|(y>(j>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(j)&~((o|(p>(((e>l)|t)>h)))))
|
((t>p)|((~((o&~(t)))>h)|~(~(h))))
| 1 | 0 | 1 | 0 |
entailment
|
(j|(j&(j>e)))
|
((j&(e|((t&j)|l)))|j)
| 1 | 0 | 0 | 0 |
entailment
|
(~(j)&~((o|(p>(((e>l)|t)>h)))))
|
((j&(e|((t&j)|l)))|j)
| 0 | 1 | 1 | 0 |
not entailment
|
(j|(j&(j>e)))
|
((t>p)|((~((o&~(t)))>h)|~(~(h))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t>h)&(o&j))
|
(~((l>p))>o)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~((b|l)))>(t>b)))
|
((((o>(p>o))&l)&t)|((y&o)>t))
| 1 | 0 | 0 | 0 |
entailment
|
((t>h)&(o&j))
|
((((o>(p>o))&l)&t)|((y&o)>t))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((b|l)))>(t>b)))
|
(~((l>p))>o)
| 0 | 1 | 0 | 0 |
not entailment
|
(e&((~((h|b))&((t|t)>t))&p))
|
(((e|(t&(j&h)))&p)&(e|((j>(e>(b>e)))&j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((j|j)>y))&t)
|
~((((~(t)&y)&j)&p))
| 1 | 0 | 0 | 0 |
entailment
|
(e&((~((h|b))&((t|t)>t))&p))
|
~((((~(t)&y)&j)&p))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((j|j)>y))&t)
|
(((e|(t&(j&h)))&p)&(e|((j>(e>(b>e)))&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y&h))
|
(~(((y&y)&(t>p)))|(~((h&e))|(h>p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((e&l)))
|
((j>l)|((l&(~((j&y))&t))&~((e|j))))
| 1 | 0 | 0 | 0 |
entailment
|
~((y&h))
|
((j>l)|((l&(~((j&y))&t))&~((e|j))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((e&l)))
|
(~(((y&y)&(t>p)))|(~((h&e))|(h>p)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(t)&j)|h)|(o>~((p>(e>h))))))
|
(o|((h&b)&(h|(b>h))))
| 1 | 1 | 0 | 0 |
entailment
|
(t&((b&j)>(p>o)))
|
((t>t)>t)
| 1 | 1 | 1 | 0 |
entailment
|
~((((~(t)&j)|h)|(o>~((p>(e>h))))))
|
((t>t)>t)
| 0 | 1 | 1 | 0 |
not entailment
|
(t&((b&j)>(p>o)))
|
(o|((h&b)&(h|(b>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
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