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 |
|---|---|---|---|---|---|---|
(k&(a|(a&e)))
|
((y|l)>(a|a))
| 1 | 1 | 0 | 0 |
entailment
|
(u|(k>(y&u)))
|
(((y&l)|(k>u))|~(y))
| 1 | 0 | 0 | 0 |
entailment
|
(k&(a|(a&e)))
|
(((y&l)|(k>u))|~(y))
| 0 | 0 | 0 | 0 |
not entailment
|
(u|(k>(y&u)))
|
((y|l)>(a|a))
| 0 | 1 | 0 | 0 |
not entailment
|
(y|u)
|
(((~(k)|l)|(~(y)>(e>u)))&((u|a)|y))
| 1 | 0 | 0 | 0 |
entailment
|
((l&(a>(a>(a|k))))&~(~(~(~(e)))))
|
((k|a)|((l|e)&(e>(l|k))))
| 1 | 1 | 1 | 0 |
entailment
|
(y|u)
|
((k|a)|((l|e)&(e>(l|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&(a>(a>(a|k))))&~(~(~(~(e)))))
|
(((~(k)|l)|(~(y)>(e>u)))&((u|a)|y))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(e)>((l>y)&a))&(e&(e>y)))
|
(((e&~(((u|y)&(y>(l|a)))))|k)>e)
| 1 | 0 | 0 | 0 |
entailment
|
~(((a|((e&e)&y))|a))
|
(~((u&a))>~(a))
| 1 | 1 | 0 | 0 |
entailment
|
((~(e)>((l>y)&a))&(e&(e>y)))
|
(~((u&a))>~(a))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a|((e&e)&y))|a))
|
(((e&~(((u|y)&(y>(l|a)))))|k)>e)
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(l&(~(k)>(k>a))))
|
((l|l)|~((l|e)))
| 1 | 1 | 0 | 0 |
entailment
|
(a&~((l|l)))
|
(a|y)
| 1 | 1 | 0 | 0 |
entailment
|
(k&(l&(~(k)>(k>a))))
|
(a|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(a&~((l|l)))
|
((l|l)|~((l|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
((a|(~(((e&k)|(~(y)&a)))>(u|y)))>(a&l))
|
(((u>l)|k)|(a|y))
| 1 | 1 | 1 | 0 |
entailment
|
(~(((e&(y>((u&a)&e)))>((a>y)>(e>y))))&u)
|
(((k&k)&k)>((a&y)|(y|u)))
| 1 | 1 | 0 | 0 |
entailment
|
((a|(~(((e&k)|(~(y)&a)))>(u|y)))>(a&l))
|
(((k&k)&k)>((a&y)|(y|u)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((e&(y>((u&a)&e)))>((a>y)>(e>y))))&u)
|
(((u>l)|k)|(a|y))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&(a&l))
|
(u|a)
| 1 | 1 | 0 | 0 |
entailment
|
~(((k&((l&a)|k))>((l>(e>~((k&y))))|a)))
|
((~((l&~(k)))|(u|u))&~(~((l>l))))
| 1 | 1 | 0 | 0 |
entailment
|
(l&(a&l))
|
((~((l&~(k)))|(u|u))&~(~((l>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k&((l&a)|k))>((l>(e>~((k&y))))|a)))
|
(u|a)
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|(a>((a>~(l))&a))))
|
((a|e)&(e|l))
| 1 | 1 | 0 | 0 |
entailment
|
~(((y|y)>(u&~(y))))
|
(u|y)
| 1 | 1 | 1 | 0 |
entailment
|
~((y|(a>((a>~(l))&a))))
|
(u|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((y|y)>(u&~(y))))
|
((a|e)&(e|l))
| 0 | 1 | 0 | 0 |
not entailment
|
((e&(y&~(((a&(a>e))&u))))|y)
|
~(~((~(y)>~(((k|e)&(((u|u)|l)&a))))))
| 1 | 0 | 0 | 0 |
entailment
|
(u&l)
|
((u>l)|(((e|l)>((a>(a&e))&u))&~(~(e))))
| 1 | 0 | 0 | 0 |
entailment
|
((e&(y&~(((a&(a>e))&u))))|y)
|
((u>l)|(((e|l)>((a>(a&e))&u))&~(~(e))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&l)
|
~(~((~(y)>~(((k|e)&(((u|u)|l)&a))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&~((k|((~(a)&~(y))>(y&(l&a))))))
|
(~((~(l)&y))|u)
| 1 | 1 | 0 | 0 |
entailment
|
(l&~((k|((~(a)&~(y))>(y&(l&a))))))
|
(a|y)
| 0 | 1 | 1 | 0 |
not entailment
|
(a&y)
|
(~((~(l)&y))|u)
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(((l|~(e))&a)|a))
|
((e>y)>(y|(y&l)))
| 1 | 1 | 1 | 0 |
entailment
|
~((u>(~(k)|y)))
|
((l>(((a|y)|y)>(k>u)))|(e|(k&u)))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(((l|~(e))&a)|a))
|
((l>(((a|y)|y)>(k>u)))|(e|(k&u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>(~(k)|y)))
|
((e>y)>(y|(y&l)))
| 0 | 1 | 0 | 0 |
not entailment
|
((k|~(y))&~((k&~((~((e>e))&e)))))
|
(~((l>(k>((~(u)&y)|a))))>e)
| 1 | 1 | 0 | 0 |
entailment
|
(~((k&(u|a)))&k)
|
~((a&((y|a)|k)))
| 1 | 1 | 0 | 0 |
entailment
|
((k|~(y))&~((k&~((~((e>e))&e)))))
|
~((a&((y|a)|k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((k&(u|a)))&k)
|
(~((l>(k>((~(u)&y)|a))))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
((~((e|k))|~((e>(l&(e|u)))))&~((u>e)))
|
(e>~(((a|~((u>(l|((e>l)|k)))))>k)))
| 1 | 1 | 0 | 0 |
entailment
|
(((e&y)>e)&~((k|~((e&y)))))
|
((l|e)&(l>(~((a>u))>y)))
| 1 | 1 | 0 | 0 |
entailment
|
((~((e|k))|~((e>(l&(e|u)))))&~((u>e)))
|
((l|e)&(l>(~((a>u))>y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((e&y)>e)&~((k|~((e&y)))))
|
(e>~(((a|~((u>(l|((e>l)|k)))))>k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((e>((a|y)|((l|(l|a))>(e&k)))))
|
(e|(a|~(k)))
| 1 | 1 | 1 | 1 |
entailment
|
~((u>(((l&k)&(~(k)|k))>a)))
|
(((((y|~(e))&e)>~(~(k)))>u)|(e>~(e)))
| 1 | 0 | 0 | 0 |
entailment
|
~((e>((a|y)|((l|(l|a))>(e&k)))))
|
(((((y|~(e))&e)>~(~(k)))>u)|(e>~(e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>(((l&k)&(~(k)|k))>a)))
|
(e|(a|~(k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((l>~(u)))|y))
|
(((l|y)&(k&(~(~(k))>(u&u))))>l)
| 1 | 0 | 0 | 0 |
entailment
|
(k&y)
|
~(~(y))
| 1 | 0 | 1 | 1 |
entailment
|
~((~((l>~(u)))|y))
|
~(~(y))
| 0 | 1 | 1 | 0 |
not entailment
|
(k&y)
|
(((l|y)&(k&(~(~(k))>(u&u))))>l)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((i|~(m))&l)>(v>s)))
|
((v|u)|~((((s|d)>i)&~(u))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&s)
|
(~((y|(l&l)))|(~(((r>d)>u))>(s|~(l))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((i|~(m))&l)>(v>s)))
|
(~((y|(l&l)))|(~(((r>d)>u))>(s|~(l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&s)
|
((v|u)|~((((s|d)>i)&~(u))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((q|((d>(~((r|l))>u))|(r&(i|s)))))
|
~(((((i&(d>y))&(~(v)&(d|v)))&q)&u))
| 1 | 1 | 0 | 0 |
entailment
|
(r&~((~((l&v))&m)))
|
~((~(r)&m))
| 1 | 1 | 1 | 1 |
entailment
|
~((q|((d>(~((r|l))>u))|(r&(i|s)))))
|
~((~(r)&m))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&~((~((l&v))&m)))
|
~(((((i&(d>y))&(~(v)&(d|v)))&q)&u))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l|(~((s&s))>(((l|r)&q)&u))))
|
(~(~(~(i)))>(l>y))
| 1 | 1 | 0 | 0 |
entailment
|
(y>~(((d>s)|(((u>v)&(y|v))|m))))
|
(y>d)
| 1 | 1 | 1 | 1 |
entailment
|
~((l|(~((s&s))>(((l|r)&q)&u))))
|
(y>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(y>~(((d>s)|(((u>v)&(y|v))|m))))
|
(~(~(~(i)))>(l>y))
| 0 | 1 | 0 | 0 |
not entailment
|
~(l)
|
(((s&q)&(v&l))>((((s&i)>y)&m)&(~(u)|r)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&~(((~(d)&v)>(d|((v&m)>u)))))
|
(~(~((d>~((i&m)))))>(~(q)>(u>q)))
| 1 | 0 | 0 | 0 |
entailment
|
~(l)
|
(~(~((d>~((i&m)))))>(~(q)>(u>q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&~(((~(d)&v)>(d|((v&m)>u)))))
|
(((s&q)&(v&l))>((((s&i)>y)&m)&(~(u)|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&(v&r))
|
(((u>d)&((r&q)&s))|(l>((q|r)&(i|s))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(q)&((m&l)|(u>r))))
|
(~((~(q)&(q|r)))|(i&(u&l)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&(v&r))
|
(~((~(q)&(q|r)))|(i&(u&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(q)&((m&l)|(u>r))))
|
(((u>d)&((r&q)&s))|(l>((q|r)&(i|s))))
| 0 | 0 | 0 | 0 |
not entailment
|
((v>(m|m))&~(m))
|
(y>((y&l)|(v>s)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((m&(l&v))|q)|l))
|
(((q>~((s&q)))>l)>(i&(q>u)))
| 1 | 0 | 0 | 0 |
entailment
|
((v>(m|m))&~(m))
|
(((q>~((s&q)))>l)>(i&(q>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((m&(l&v))|q)|l))
|
(y>((y&l)|(v>s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((u>i)&i)>l)>((l|((l&y)>m))>y))&v)
|
((((d|l)>d)|((q>m)>i))|(r>v))
| 1 | 1 | 0 | 0 |
entailment
|
(s&((y|m)>((i|((i|v)|m))>q)))
|
(((((l>r)>d)|(r|(s>i)))&(y&m))>s)
| 1 | 0 | 0 | 0 |
entailment
|
(((((u>i)&i)>l)>((l|((l&y)>m))>y))&v)
|
(((((l>r)>d)|(r|(s>i)))&(y&m))>s)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&((y|m)>((i|((i|v)|m))>q)))
|
((((d|l)>d)|((q>m)>i))|(r>v))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i|l))&(((r&m)|d)>s))
|
~((((u&m)>i)&(s&i)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((d|~(r))|(u|(~(q)&m)))>m))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
(~((i|l))&(((r&m)|d)>s))
|
~(m)
| 0 | 1 | 1 | 1 |
not entailment
|
~((((d|~(r))|(u|(~(q)&m)))>m))
|
~((((u&m)>i)&(s&i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((d|(y|v)))
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(l)>(v|y))>~((y|s))))
|
(((i|(s|u))|~(~(((s>~(i))>y))))|(r&l))
| 1 | 0 | 0 | 0 |
entailment
|
~((d|(y|v)))
|
(((i|(s|u))|~(~(((s>~(i))>y))))|(r&l))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(l)>(v|y))>~((y|s))))
|
~(d)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(q)&r)&((l|l)>m))
|
((l&y)|(r|(((r|q)>m)|m)))
| 1 | 0 | 0 | 0 |
entailment
|
((s&u)&q)
|
(i>s)
| 1 | 1 | 0 | 0 |
entailment
|
((~(q)&r)&((l|l)>m))
|
(i>s)
| 0 | 1 | 0 | 0 |
not entailment
|
((s&u)&q)
|
((l&y)|(r|(((r|q)>m)|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&m)
|
(i|y)
| 1 | 1 | 0 | 0 |
entailment
|
(r&(~(u)|s))
|
(i|r)
| 1 | 1 | 0 | 0 |
entailment
|
(y&m)
|
(i|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&(~(u)|s))
|
(i|y)
| 0 | 1 | 0 | 0 |
not entailment
|
((m>((y|v)>l))&~(((s&y)>~((y&r)))))
|
(((u|y)|q)>r)
| 1 | 1 | 0 | 0 |
entailment
|
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