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 |
|---|---|---|---|---|---|---|
~(((z&(o&~(~((u>(k&(u|z)))))))>(b&d)))
|
(k|~(u))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(u)|(b&(((u&k)|b)&~(b)))))
|
((k|~(h))>u)
| 1 | 1 | 0 | 0 |
entailment
|
~(((z&(o&~(~((u>(k&(u|z)))))))>(b&d)))
|
((k|~(h))>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(u)|(b&(((u&k)|b)&~(b)))))
|
(k|~(u))
| 0 | 1 | 1 | 0 |
not entailment
|
~((h|(o&~((z|~(k))))))
|
((u|u)|(h>(((o&b)>(h>d))>d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((k>h)&((((h>h)|u)|(z|d))&z))))
|
(~(~(z))|(d>(d>h)))
| 1 | 1 | 1 | 0 |
entailment
|
~((h|(o&~((z|~(k))))))
|
(~(~(z))|(d>(d>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((k>h)&((((h>h)|u)|(z|d))&z))))
|
((u|u)|(h>(((o&b)>(h>d))>d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z>(k>b))|u))
|
(~((~(o)>k))>u)
| 1 | 1 | 0 | 0 |
entailment
|
(((b>o)&d)&(z>(b&((u|(~(b)|k))&h))))
|
((z&~(o))>(~(k)|d))
| 1 | 1 | 1 | 0 |
entailment
|
~(((z>(k>b))|u))
|
((z&~(o))>(~(k)|d))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b>o)&d)&(z>(b&((u|(~(b)|k))&h))))
|
(~((~(o)>k))>u)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(s)&(~((s>(s&s)))>((s&(s>s))|s)))
|
~(((s>s)&s))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(s))&s)
|
~(~(s))
| 1 | 1 | 1 | 1 |
entailment
|
(~(s)&(~((s>(s&s)))>((s&(s>s))|s)))
|
~(~(s))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~(s))&s)
|
~(((s>s)&s))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~((s>s))|s))|((s>s)>~(s)))
|
~(s)
| 1 | 1 | 1 | 1 |
entailment
|
(s|s)
|
(((s>s)>s)|(s|((s|s)|((s|s)|s))))
| 1 | 0 | 1 | 0 |
entailment
|
(~((~((s>s))|s))|((s>s)>~(s)))
|
(((s>s)>s)|(s|((s|s)|((s|s)|s))))
| 0 | 1 | 1 | 1 |
not entailment
|
(s|s)
|
~(s)
| 0 | 1 | 1 | 0 |
not entailment
|
~((s&(((s>(s>s))&(s>s))>s)))
|
~((s&(s>(s|s))))
| 1 | 1 | 1 | 1 |
entailment
|
(s&(s>(s>(s|s))))
|
(s&(s&((((s>s)&s)|s)|((s|s)|s))))
| 1 | 0 | 1 | 1 |
entailment
|
~((s&(((s>(s>s))&(s>s))>s)))
|
(s&(s&((((s>s)&s)|s)|((s|s)|s))))
| 0 | 0 | 1 | 1 |
not entailment
|
(s&(s>(s>(s|s))))
|
~((s&(s>(s|s))))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((s|~(s))>(s>s))&s))
|
~((s|~((s|~(s)))))
| 1 | 1 | 1 | 1 |
entailment
|
(s|s)
|
(s|s)
| 1 | 1 | 1 | 1 |
entailment
|
~((((s|~(s))>(s>s))&s))
|
(s|s)
| 0 | 1 | 1 | 1 |
not entailment
|
(s|s)
|
~((s|~((s|~(s)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((s|s)>~((s&((~(~((s&s)))>s)>s))))
|
~((((s|s)&(s|s))&s))
| 1 | 1 | 1 | 1 |
entailment
|
(s|s)
|
~(~(((s|s)&s)))
| 1 | 0 | 1 | 1 |
entailment
|
((s|s)>~((s&((~(~((s&s)))>s)>s))))
|
~(~(((s|s)&s)))
| 0 | 1 | 1 | 1 |
not entailment
|
(s|s)
|
~((((s|s)&(s|s))&s))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((s>(s>s))|~(s))>s))
|
~((((s&s)&(s>s))|(~((s>s))&~(s))))
| 1 | 0 | 1 | 1 |
entailment
|
(s&s)
|
(s&(s>(s|s)))
| 1 | 0 | 1 | 0 |
entailment
|
~((((s>(s>s))|~(s))>s))
|
(s&(s>(s|s)))
| 0 | 1 | 1 | 1 |
not entailment
|
(s&s)
|
~((((s&s)&(s>s))|(~((s>s))&~(s))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~(~(s)))&((s|~(s))|s))
|
~((s&s))
| 1 | 1 | 1 | 1 |
entailment
|
(s&s)
|
((s&(s>(~(~(s))>s)))|((s&s)|s))
| 1 | 0 | 1 | 0 |
entailment
|
(~(~(~(s)))&((s|~(s))|s))
|
((s&(s>(~(~(s))>s)))|((s&s)|s))
| 0 | 0 | 1 | 1 |
not entailment
|
(s&s)
|
~((s&s))
| 0 | 0 | 1 | 0 |
not entailment
|
(s|s)
|
(s&~(~((s&s))))
| 1 | 0 | 1 | 1 |
entailment
|
~((((s|s)>s)&(((s|s)|s)&s)))
|
((s|(s&(s&s)))>~(s))
| 1 | 1 | 1 | 1 |
entailment
|
(s|s)
|
((s|(s&(s&s)))>~(s))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((s|s)>s)&(((s|s)|s)&s)))
|
(s&~(~((s&s))))
| 0 | 1 | 1 | 1 |
not entailment
|
(e&p)
|
(((m&e)&(r|u))>p)
| 1 | 0 | 0 | 0 |
entailment
|
~((((e&u)|~(~((l&m))))|((j|s)&s)))
|
~(((s&~(j))&(p|((j>e)|((o>m)&j)))))
| 1 | 1 | 0 | 0 |
entailment
|
(e&p)
|
~(((s&~(j))&(p|((j>e)|((o>m)&j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((e&u)|~(~((l&m))))|((j|s)&s)))
|
(((m&e)&(r|u))>p)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((m>~(m))>u))&(o&s))
|
(r>(~(~((((m|~(m))&(r>m))|r)))&(s|p)))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(u)&~(~(~(s))))&m)&((s|r)>(s>s)))
|
((l>u)|(~(r)>m))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((m>~(m))>u))&(o&s))
|
((l>u)|(~(r)>m))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(u)&~(~(~(s))))&m)&((s|r)>(s>s)))
|
(r>(~(~((((m|~(m))&(r>m))|r)))&(s|p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&s)
|
(p>(s&m))
| 1 | 0 | 0 | 0 |
entailment
|
(o&(j>(~(e)>~((j>m)))))
|
(o|r)
| 1 | 1 | 0 | 0 |
entailment
|
(m&s)
|
(o|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(o&(j>(~(e)>~((j>m)))))
|
(p>(s&m))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e&s)>r))
|
((u|j)>(~(e)>(((l>o)|(l|~(j)))>u)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(~((u>u))))>(s&(p>((l|p)&e))))>p)
|
(p|u)
| 1 | 1 | 1 | 1 |
entailment
|
~(((e&s)>r))
|
(p|u)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(~((u>u))))>(s&(p>((l|p)&e))))>p)
|
((u|j)>(~(e)>(((l>o)|(l|~(j)))>u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(r)&(s|s))&(p|l))
|
(s|~((r>(m|u))))
| 1 | 1 | 0 | 0 |
entailment
|
((~((e|s))&~(~((p|s))))&((e&(o&s))>u))
|
(s>(j>~(~(((u>j)>(e&l))))))
| 1 | 1 | 0 | 0 |
entailment
|
((~(r)&(s|s))&(p|l))
|
(s>(j>~(~(((u>j)>(e&l))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((e|s))&~(~((p|s))))&((e&(o&s))>u))
|
(s|~((r>(m|u))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((o|((p&p)|r)))&((l>(e|r))>~(j)))
|
(~((e|(e|(~(s)|(r>p)))))>(r&e))
| 1 | 1 | 0 | 0 |
entailment
|
~(e)
|
((e>(j|(o|p)))|o)
| 1 | 0 | 0 | 0 |
entailment
|
(~((o|((p&p)|r)))&((l>(e|r))>~(j)))
|
((e>(j|(o|p)))|o)
| 0 | 1 | 1 | 0 |
not entailment
|
~(e)
|
(~((e|(e|(~(s)|(r>p)))))>(r&e))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(r)>e))
|
(~(~(r))>((l>(u|s))&((l&s)|(m|u))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(r))&~(((m&(e&o))>s)))
|
(((l|l)>((((u&u)&m)>r)&e))|s)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(r)>e))
|
(((l|l)>((((u&u)&m)>r)&e))|s)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(r))&~(((m&(e&o))>s)))
|
(~(~(r))>((l>(u|s))&((l&s)|(m|u))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((e&u))|j))
|
(l>((j|~((u>(s|e))))>(e&~(s))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((r|r))&(l>(s|p)))
|
(r>(o&((l&m)>m)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((e&u))|j))
|
(r>(o&((l&m)>m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((r|r))&(l>(s|p)))
|
(l>((j|~((u>(s|e))))>(e&~(s))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((u&o)&u)|e))
|
((e&r)>((r>((o&p)|(u|l)))&~(~(u))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(r)&(~((~((o|~(e)))>s))>(m>p))))
|
(((r|r)|e)|~(~((((r>(u>r))|(e&u))&e))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((u&o)&u)|e))
|
(((r|r)|e)|~(~((((r>(u>r))|(e&u))&e))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(r)&(~((~((o|~(e)))>s))>(m>p))))
|
((e&r)>((r>((o&p)|(u|l)))&~(~(u))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(e)&((p|~((u|o)))>~(~(o))))
|
((o&e)>(s|p))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((u|u)&((p>(l>m))>((s&p)|m)))))
|
(u&u)
| 1 | 1 | 1 | 1 |
entailment
|
(~(e)&((p|~((u|o)))>~(~(o))))
|
(u&u)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((u|u)&((p>(l>m))>((s&p)|m)))))
|
((o&e)>(s|p))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&p)
|
(o|(~((r|((e&j)|(~(m)>e))))>p))
| 1 | 0 | 0 | 0 |
entailment
|
(p>o)
|
(((r&p)|~((j|o)))>(p>o))
| 1 | 0 | 0 | 0 |
entailment
|
(j&p)
|
(((r&p)|~((j|o)))>(p>o))
| 0 | 0 | 0 | 0 |
not entailment
|
(p>o)
|
(o|(~((r|((e&j)|(~(m)>e))))>p))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&p)&~((~(((o&(j&o))>(l|l)))&(p|j))))
|
((m&(((~(s)>r)>l)&p))|p)
| 1 | 1 | 0 | 0 |
entailment
|
(e&((~((~(~(l))|p))>e)&m))
|
(((o>j)>m)|r)
| 1 | 1 | 0 | 0 |
entailment
|
((p&p)&~((~(((o&(j&o))>(l|l)))&(p|j))))
|
(((o>j)>m)|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(e&((~((~(~(l))|p))>e)&m))
|
((m&(((~(s)>r)>l)&p))|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(((e|(j>o))|o)&(((e|l)&m)&~(p)))
|
((s|o)|(p>((s|(m|e))&((l>p)&e))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((o|j)>(o&(m|(u>(u|(p|p)))))))
|
(((e>u)>j)|s)
| 1 | 1 | 0 | 0 |
entailment
|
(((e|(j>o))|o)&(((e|l)&m)&~(p)))
|
(((e>u)>j)|s)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o|j)>(o&(m|(u>(u|(p|p)))))))
|
((s|o)|(p>((s|(m|e))&((l>p)&e))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((s>s)>~((j>s))))))
|
(j>(((p&e)|s)|(~((s&l))&~((p&r)))))
| 1 | 0 | 0 | 0 |
entailment
|
(u&((~((p&s))|u)>((j|o)&~(m))))
|
(~(u)>e)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((s>s)>~((j>s))))))
|
(~(u)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(u&((~((p&s))|u)>((j|o)&~(m))))
|
(j>(((p&e)|s)|(~((s&l))&~((p&r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
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