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)&s)
|
(((m|(w>m))>((m&s)>(m>m)))&w)
| 0 | 0 | 0 | 0 |
not entailment
|
((u>~((~(s)|(u&u))))&(c&w))
|
(~((((m&(m>~(u)))>m)|w))|~(m))
| 0 | 0 | 0 | 0 |
not entailment
|
((((e|g)|(~(m)>~(r)))>g)>j)
|
(((c>m)|(u|a))>(j|~(((r>e)&g))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((u&g)|c)|~((d&g))))
|
((~(m)&(g&u))>(~(~(~((g>a))))&(u|j)))
| 1 | 0 | 0 | 0 |
entailment
|
((((e|g)|(~(m)>~(r)))>g)>j)
|
((~(m)&(g&u))>(~(~(~((g>a))))&(u|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((u&g)|c)|~((d&g))))
|
(((c>m)|(u|a))>(j|~(((r>e)&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((~(j)|g)>u)>d)&c)&j)
|
~(~(((a&(j&u))>(((u|e)>g)|(c&a)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d&(e&a))>~(~(~(~(m))))))
|
~(~(((g>g)&(m>g))))
| 1 | 1 | 0 | 0 |
entailment
|
(((((~(j)|g)>u)>d)&c)&j)
|
~(~(((g>g)&(m>g))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d&(e&a))>~(~(~(~(m))))))
|
~(~(((a&(j&u))>(((u|e)>g)|(c&a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((a|c))>m)|~(((d>(u>j))|g))))
|
(~(~(~((m>~(e)))))>(((g|u)>(e&c))>a))
| 1 | 0 | 0 | 0 |
entailment
|
((g&r)&j)
|
((c>a)>(~((u&(u>d)))>j))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((a|c))>m)|~(((d>(u>j))|g))))
|
((c>a)>(~((u&(u>d)))>j))
| 0 | 1 | 1 | 0 |
not entailment
|
((g&r)&j)
|
(~(~(~((m>~(e)))))>(((g|u)>(e&c))>a))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(m)|(j&((e&(a&j))>(a|(c>c))))))&g)
|
((~(r)>(j&c))|m)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(j))>~(e)))
|
~(~(((r&c)|((j|u)|a))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(m)|(j&((e&(a&j))>(a|(c>c))))))&g)
|
~(~(((r&c)|((j|u)|a))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(j))>~(e)))
|
((~(r)>(j&c))|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(m&a)
|
((r|(~((g&j))&u))>m)
| 1 | 0 | 0 | 0 |
entailment
|
((u|(j|(c|m)))&~((((a>d)|(j>c))|c)))
|
(((u|((d&g)&e))>~((d>m)))>(j|d))
| 1 | 1 | 0 | 0 |
entailment
|
(m&a)
|
(((u|((d&g)&e))>~((d>m)))>(j|d))
| 0 | 0 | 0 | 0 |
not entailment
|
((u|(j|(c|m)))&~((((a>d)|(j>c))|c)))
|
((r|(~((g&j))&u))>m)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((c>e)|((m>r)&j)))
|
~((m&(r&j)))
| 1 | 1 | 1 | 0 |
entailment
|
(r&(u|g))
|
(r|u)
| 1 | 1 | 1 | 1 |
entailment
|
~(((c>e)|((m>r)&j)))
|
(r|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&(u|g))
|
~((m&(r&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(c))
|
((~(~(((d|r)|m)))&e)>(d|c))
| 1 | 0 | 0 | 0 |
entailment
|
((a&u)&(e&u))
|
((a|~(m))|g)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(c))
|
((a|~(m))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
((a&u)&(e&u))
|
((~(~(((d|r)|m)))&e)>(d|c))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a>(j>u))|j)&((m>u)&d))
|
(((c|g)|r)>~(~((c>(d&d)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((e|(m>c))>j))&~(e))&(j|(u|a)))
|
(((e>c)&(j&j))>(j>r))
| 1 | 1 | 0 | 0 |
entailment
|
(((a>(j>u))|j)&((m>u)&d))
|
(((e>c)&(j&j))>(j>r))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((e|(m>c))>j))&~(e))&(j|(u|a)))
|
(((c|g)|r)>~(~((c>(d&d)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((d>~(j))|a)&~(g))>((g|m)|(r&e))))
|
~((g|(m&j)))
| 1 | 1 | 1 | 1 |
entailment
|
(e&m)
|
((((m>d)&e)>(a&(~(m)&a)))>(m|~((m>r))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((d>~(j))|a)&~(g))>((g|m)|(r&e))))
|
((((m>d)&e)>(a&(~(m)&a)))>(m|~((m>r))))
| 0 | 1 | 1 | 0 |
not entailment
|
(e&m)
|
~((g|(m&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((e|e)&j)&r)&(~(e)>(u|(r&m))))
|
((a>r)>(~(g)>(j&r)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((j|a)>a)|((c&e)|g)))
|
(g>(a&((u&a)|((m&j)&g))))
| 1 | 1 | 0 | 0 |
entailment
|
((((e|e)&j)&r)&(~(e)>(u|(r&m))))
|
(g>(a&((u&a)|((m&j)&g))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((j|a)>a)|((c&e)|g)))
|
((a>r)>(~(g)>(j&r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~((m|e))&g)))
|
(~(~(~(((d&m)&(~(c)>j)))))|~((m|a)))
| 1 | 0 | 0 | 0 |
entailment
|
((a&a)&((e&~(a))|~(~(~((u|r))))))
|
(a>((e>(~(g)&a))>~(r)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~((m|e))&g)))
|
(a>((e>(~(g)&a))>~(r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((a&a)&((e&~(a))|~(~(~((u|r))))))
|
(~(~(~(((d&m)&(~(c)>j)))))|~((m|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((e>((j|u)|c)))
|
((c>(~((e|a))&c))|(u&((r>(a|a))>e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((c&(d>c))))
|
~(~(c))
| 1 | 1 | 1 | 1 |
entailment
|
~((e>((j|u)|c)))
|
~(~(c))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((c&(d>c))))
|
((c>(~((e|a))&c))|(u&((r>(a|a))>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&c)
|
(j|(m>(u>c)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((m&d)))&((e>m)>(d>m)))
|
(((g&c)|(~(j)&((c&c)|(u&a))))>m)
| 1 | 0 | 0 | 0 |
entailment
|
(d&c)
|
(((g&c)|(~(j)&((c&c)|(u&a))))>m)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((m&d)))&((e>m)>(d>m)))
|
(j|(m>(u>c)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(~(c))))&(((r>r)|~(c))&r))
|
((e>u)>(c&((~(m)|m)|a)))
| 1 | 1 | 0 | 0 |
entailment
|
(r&((g>c)&m))
|
(((((g&j)&u)>g)>e)|(g>m))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(~(c))))&(((r>r)|~(c))&r))
|
(((((g&j)&u)>g)>e)|(g>m))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&((g>c)&m))
|
((e>u)>(c&((~(m)|m)|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g|j)|c))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
~((d>~(e)))
|
((((a>m)|g)|m)>d)
| 1 | 0 | 0 | 0 |
entailment
|
~(((g|j)|c))
|
((((a>m)|g)|m)>d)
| 0 | 0 | 0 | 0 |
not entailment
|
~((d>~(e)))
|
~(j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a|(~(r)>g))>(u>(m>e))))
|
(j>(m&(j&((j&a)|u))))
| 1 | 1 | 0 | 0 |
entailment
|
((a|r)&d)
|
(((g>(r|a))|(c|j))|a)
| 1 | 0 | 0 | 0 |
entailment
|
~(((a|(~(r)>g))>(u>(m>e))))
|
(((g>(r|a))|(c|j))|a)
| 0 | 1 | 0 | 0 |
not entailment
|
((a|r)&d)
|
(j>(m&(j&((j&a)|u))))
| 0 | 0 | 0 | 0 |
not entailment
|
((j&g)&(u|(e>(~(u)|r))))
|
~(~(~(~((a>(c>((a&a)&j)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((((r&a)>r)>((e>a)>e))&(j|u))&(d>m))
|
((~(u)>~((m|(~(e)&r))))>((d>u)|(m&m)))
| 1 | 0 | 1 | 0 |
entailment
|
((j&g)&(u|(e>(~(u)|r))))
|
((~(u)>~((m|(~(e)&r))))>((d>u)|(m&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((r&a)>r)>((e>a)>e))&(j|u))&(d>m))
|
~(~(~(~((a>(c>((a&a)&j)))))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(j)>((m>c)|(c>j)))|j)>~((j>u)))
|
(~((r|(j>u)))|~(u))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(d&j))
|
((j>(r|(c&c)))|(g|a))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(j)>((m>c)|(c>j)))|j)>~((j>u)))
|
((j>(r|(c&c)))|(g|a))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(d&j))
|
(~((r|(j>u)))|~(u))
| 0 | 0 | 0 | 0 |
not entailment
|
(((g&e)|r)&a)
|
(j>a)
| 1 | 1 | 0 | 0 |
entailment
|
~((a|~(u)))
|
~((a&((((a|r)&a)|(r&g))&(~(j)>a))))
| 1 | 0 | 0 | 0 |
entailment
|
(((g&e)|r)&a)
|
~((a&((((a|r)&a)|(r&g))&(~(j)>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a|~(u)))
|
(j>a)
| 0 | 1 | 0 | 0 |
not entailment
|
((t|g)>(~(~(b))&(~((b&b))|~(b))))
|
((~(b)>(g>(t>b)))|(~(~(b))|~(o)))
| 1 | 1 | 0 | 0 |
entailment
|
((t|(t|t))&~(~(~((o>b)))))
|
((b|t)&o)
| 1 | 1 | 1 | 0 |
entailment
|
((t|g)>(~(~(b))&(~((b&b))|~(b))))
|
((b|t)&o)
| 0 | 1 | 0 | 0 |
not entailment
|
((t|(t|t))&~(~(~((o>b)))))
|
((~(b)>(g>(t>b)))|(~(~(b))|~(o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g|(((o&s)|g)|((g&s)|(s>t)))))
|
(~((g&o))&(t>~((b&((t>b)>b)))))
| 1 | 1 | 0 | 0 |
entailment
|
((o&((o&s)>(~(b)>o)))&(b|(((g&s)&t)&g)))
|
(o|(s&(t&g)))
| 1 | 1 | 1 | 1 |
entailment
|
~((g|(((o&s)|g)|((g&s)|(s>t)))))
|
(o|(s&(t&g)))
| 0 | 1 | 1 | 0 |
not entailment
|
((o&((o&s)>(~(b)>o)))&(b|(((g&s)&t)&g)))
|
(~((g&o))&(t>~((b&((t>b)>b)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(g&o)
|
((g&b)>((b&t)|o))
| 1 | 0 | 0 | 0 |
entailment
|
((s&s)&b)
|
~(~(s))
| 1 | 1 | 1 | 1 |
entailment
|
(g&o)
|
~(~(s))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&s)&b)
|
((g&b)>((b&t)|o))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(s&o))
|
~(~((((o>b)>~(((s>b)|o)))>(g&o))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((o&g))&o)|~(~(b))))
|
(~((~((~(((t|t)&g))|s))|o))|g)
| 1 | 0 | 0 | 0 |
entailment
|
(b&(s&o))
|
(~((~((~(((t|t)&g))|s))|o))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((o&g))&o)|~(~(b))))
|
~(~((((o>b)>~(((s>b)|o)))>(g&o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(s)&b)))
|
(~(b)>b)
| 1 | 1 | 1 | 1 |
entailment
|
((b|t)&(s&g))
|
(((b&s)>(o&~(((g&s)>(o|t)))))>t)
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(s)&b)))
|
(((b&s)>(o&~(((g&s)>(o|t)))))>t)
| 0 | 0 | 0 | 0 |
not entailment
|
((b|t)&(s&g))
|
(~(b)>b)
| 0 | 1 | 1 | 1 |
not entailment
|
(s|(t>o))
|
(((t>b)&(b&b))|((t>s)|o))
| 1 | 0 | 0 | 0 |
entailment
|
(~((s>(b|((~((t&g))>g)&~(s)))))>~(t))
|
((t&o)>((o&(t>s))>b))
| 1 | 1 | 0 | 0 |
entailment
|
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