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 |
|---|---|---|---|---|---|---|
((~((y>i))&(s&(q|~(j))))&l)
|
(((s>g)&~((q|i)))>i)
| 0 | 1 | 0 | 0 |
not entailment
|
~((q>~((h|(l|h)))))
|
(~(s)>j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((q&g)))
|
~(~(q))
| 1 | 1 | 1 | 1 |
entailment
|
((~((u|x))|(u>y))&((y|l)&((u&g)&(i|l))))
|
((y&(i>(y|(i&g))))|((q>l)&x))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((q&g)))
|
((y&(i>(y|(i&g))))|((q>l)&x))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((u|x))|(u>y))&((y|l)&((u&g)&(i|l))))
|
~(~(q))
| 0 | 1 | 0 | 0 |
not entailment
|
((g|(h|i))>((q&j)&j))
|
((~(~((~(u)&x)))&i)>q)
| 1 | 0 | 0 | 0 |
entailment
|
((h&l)|~((s>(l>x))))
|
((x|(y|l))|~(((g&((h>s)>u))>s)))
| 1 | 0 | 0 | 0 |
entailment
|
((g|(h|i))>((q&j)&j))
|
((x|(y|l))|~(((g&((h>s)>u))>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&l)|~((s>(l>x))))
|
((~(~((~(u)&x)))&i)>q)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((l|q)))>y)&(((y&g)&g)&q))
|
(y&g)
| 1 | 1 | 1 | 1 |
entailment
|
~(((x&g)>(i&~(~(((~(h)>x)>~(s)))))))
|
((x&g)|~((i|h)))
| 1 | 1 | 1 | 0 |
entailment
|
((~(~((l|q)))>y)&(((y&g)&g)&q))
|
((x&g)|~((i|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((x&g)>(i&~(~(((~(h)>x)>~(s)))))))
|
(y&g)
| 0 | 1 | 0 | 0 |
not entailment
|
(((e>e)>e)|e)
|
((~(e)>e)&((e|e)>e))
| 1 | 0 | 1 | 1 |
entailment
|
~(((e&e)|e))
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
(((e>e)>e)|e)
|
~(e)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((e&e)|e))
|
((~(e)>e)&((e|e)>e))
| 0 | 0 | 1 | 0 |
not entailment
|
((e|e)|e)
|
(e|e)
| 1 | 1 | 1 | 1 |
entailment
|
~((((e&e)|e)&(e|(e|((e>~(e))|e)))))
|
~((e&((e&(e|e))>e)))
| 1 | 1 | 1 | 1 |
entailment
|
((e|e)|e)
|
~((e&((e&(e|e))>e)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((e&e)|e)&(e|(e|((e>~(e))|e)))))
|
(e|e)
| 0 | 1 | 1 | 1 |
not entailment
|
(((e|e)>~(e))>(~(((e|(e>e))&e))>e))
|
~(~(((e&e)|(e&(e&(e|~(e)))))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((e&e)&e))
|
~(((((e&e)>e)|(e>e))>e))
| 1 | 0 | 1 | 0 |
entailment
|
(((e|e)>~(e))>(~(((e|(e>e))&e))>e))
|
~(((((e&e)>e)|(e>e))>e))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((e&e)&e))
|
~(~(((e&e)|(e&(e&(e|~(e)))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(e&e)
|
((e|e)|~(~(e)))
| 1 | 0 | 1 | 1 |
entailment
|
((e>e)&~((e&e)))
|
((e|(e>e))&~(((e&(e>e))|e)))
| 1 | 0 | 1 | 1 |
entailment
|
(e&e)
|
((e|(e>e))&~(((e&(e>e))|e)))
| 0 | 0 | 1 | 0 |
not entailment
|
((e>e)&~((e&e)))
|
((e|e)|~(~(e)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(e)|~(e))
|
((e>~(e))&((e&(e|e))>e))
| 1 | 0 | 1 | 0 |
entailment
|
(~(~(((e|((e&e)&e))&e)))|(e&e))
|
(e&e)
| 1 | 1 | 1 | 1 |
entailment
|
(~(e)|~(e))
|
(e&e)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(((e|((e&e)&e))&e)))|(e&e))
|
((e>~(e))&((e&(e|e))>e))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((e|e)&(e>(~(e)|e))))
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
((~((e&(e&(e&~(e)))))|(e>e))>e)
|
(~(~((e&e)))|(e|e))
| 1 | 1 | 1 | 1 |
entailment
|
~(((e|e)&(e>(~(e)|e))))
|
(~(~((e&e)))|(e|e))
| 0 | 1 | 1 | 1 |
not entailment
|
((~((e&(e&(e&~(e)))))|(e>e))>e)
|
~(e)
| 0 | 1 | 1 | 1 |
not entailment
|
(((u|u)&(r>(~(i)|u)))&~(((u>i)&i)))
|
((i|(r>r))&u)
| 1 | 1 | 1 | 0 |
entailment
|
(r&i)
|
(i&i)
| 1 | 1 | 1 | 1 |
entailment
|
(((u|u)&(r>(~(i)|u)))&~(((u>i)&i)))
|
(i&i)
| 0 | 1 | 1 | 0 |
not entailment
|
(r&i)
|
((i|(r>r))&u)
| 0 | 0 | 0 | 0 |
not entailment
|
((u>i)&(u|(i&r)))
|
(((r&u)>(i&i))&(i&i))
| 1 | 0 | 1 | 0 |
entailment
|
((u&((r|i)&r))&u)
|
(u|u)
| 1 | 1 | 1 | 1 |
entailment
|
((u>i)&(u|(i&r)))
|
(u|u)
| 0 | 1 | 1 | 1 |
not entailment
|
((u&((r|i)&r))&u)
|
(((r&u)>(i&i))&(i&i))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((r|r))&(i&(i&u)))
|
~((r|~(((i|r)|u))))
| 1 | 1 | 1 | 0 |
entailment
|
((u&r)&((u&i)&r))
|
(r|(r|r))
| 1 | 1 | 1 | 1 |
entailment
|
(~((r|r))&(i&(i&u)))
|
(r|(r|r))
| 0 | 1 | 1 | 0 |
not entailment
|
((u&r)&((u&i)&r))
|
~((r|~(((i|r)|u))))
| 0 | 0 | 1 | 0 |
not entailment
|
(u&(~((u&u))|i))
|
((((r|i)|(r>i))>(i|u))>(u|(u&u)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((i>r)))
|
(((((r|u)>r)|u)&(r|i))>(((r&i)&u)|r))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(~((u&u))|i))
|
(((((r|u)>r)|u)&(r|i))>(((r&i)&u)|r))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((i>r)))
|
((((r|i)|(r>i))>(i|u))>(u|(u&u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&(u&u))
|
(((r>u)>u)|r)
| 1 | 0 | 0 | 0 |
entailment
|
((~(u)>~(u))>~(~((~(u)&~(i)))))
|
~((u&(u&u)))
| 1 | 1 | 1 | 1 |
entailment
|
(u&(u&u))
|
~((u&(u&u)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(u)>~(u))>~(~((~(u)&~(i)))))
|
(((r>u)>u)|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(r|(((i>~(r))&r)&(i>u)))
|
((r&r)|(u|(r|i)))
| 1 | 1 | 1 | 0 |
entailment
|
(r>~(r))
|
~(~((i>(~(u)>~((~(r)>r))))))
| 1 | 0 | 0 | 0 |
entailment
|
(r|(((i>~(r))&r)&(i>u)))
|
~(~((i>(~(u)>~((~(r)>r))))))
| 0 | 0 | 1 | 1 |
not entailment
|
(r>~(r))
|
((r&r)|(u|(r|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
((i>u)&((((u|u)|r)&i)&(~(u)>u)))
|
(i|(~((((u|i)>u)>(~((r>r))|i)))>i))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((r|r)|i))&(~(r)>((u|(i&u))|u)))
|
~((i|~((i>i))))
| 1 | 1 | 1 | 1 |
entailment
|
((i>u)&((((u|u)|r)&i)&(~(u)>u)))
|
~((i|~((i>i))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((r|r)|i))&(~(r)>((u|(i&u))|u)))
|
(i|(~((((u|i)>u)>(~((r>r))|i)))>i))
| 0 | 1 | 1 | 0 |
not entailment
|
((((i|(u&r))|(r&i))&((r>u)&i))&(i>(r&i)))
|
(r|u)
| 1 | 1 | 1 | 1 |
entailment
|
~((i&(i>i)))
|
((~((r|(r&r)))|~(~((r|i))))&(u>~(i)))
| 1 | 0 | 0 | 0 |
entailment
|
((((i|(u&r))|(r&i))&((r>u)&i))&(i>(r&i)))
|
((~((r|(r&r)))|~(~((r|i))))&(u>~(i)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((i&(i>i)))
|
(r|u)
| 0 | 1 | 0 | 0 |
not entailment
|
((r&r)&((i&i)&(~((r|i))|((u&u)&(u|u)))))
|
((((u|(r>r))&i)&((i>((i>u)&i))&(u|r)))&u)
| 1 | 1 | 1 | 1 |
entailment
|
~((r&r))
|
((r&u)>~(((u&i)&i)))
| 1 | 0 | 0 | 0 |
entailment
|
((r&r)&((i&i)&(~((r|i))|((u&u)&(u|u)))))
|
((r&u)>~(((u&i)&i)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((r&r))
|
((((u|(r>r))&i)&((i>((i>u)&i))&(u|r)))&u)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((i&r)&(u>r)))&(r&~(i)))
|
((i>r)|r)
| 1 | 1 | 1 | 1 |
entailment
|
(~((u&((u|(i|i))>(i|r))))&(i|(i|i)))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((i&r)&(u>r)))&(r&~(i)))
|
~(u)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((u&((u|(i|i))>(i|r))))&(i|(i|i)))
|
((i>r)|r)
| 0 | 1 | 1 | 0 |
not entailment
|
((i&i)&(~(~(r))&~((u&i))))
|
(((u|(((r|u)&r)|u))>r)&(i|(i|u)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((i>r)>r))
|
((i&i)>~((r>i)))
| 1 | 0 | 1 | 1 |
entailment
|
((i&i)&(~(~(r))&~((u&i))))
|
((i&i)>~((r>i)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((i>r)>r))
|
(((u|(((r|u)&r)|u))>r)&(i|(i|u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(u|(i&(r&r))))
|
((((~(~(~(i)))>((u>r)|u))&u)|u)>i)
| 1 | 0 | 1 | 0 |
entailment
|
~((~((r>(r>u)))|(r>i)))
|
(~(~(~(~(~(~((u>u)))))))>r)
| 1 | 0 | 1 | 0 |
entailment
|
(i&(u|(i&(r&r))))
|
(~(~(~(~(~(~((u>u)))))))>r)
| 0 | 0 | 1 | 0 |
not entailment
|
~((~((r>(r>u)))|(r>i)))
|
((((~(~(~(i)))>((u>r)|u))&u)|u)>i)
| 0 | 0 | 1 | 0 |
not entailment
|
((r&i)&r)
|
(r>((~(~(i))&(r|u))|i))
| 1 | 0 | 0 | 0 |
entailment
|
~((((i>i)>i)|(i&u)))
|
((i|i)>~((((r|r)>r)|~(r))))
| 1 | 0 | 0 | 0 |
entailment
|
((r&i)&r)
|
((i|i)>~((((r|r)>r)|~(r))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((i>i)>i)|(i&u)))
|
(r>((~(~(i))&(r|u))|i))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((r&u))&~((i|i)))>((i>u)&~(r))))
|
((r|~(((~(i)&((i>r)>(i>u)))&r)))&r)
| 1 | 1 | 1 | 1 |
entailment
|
~((((u|r)>r)&(~(i)>r)))
|
(((r&r)>(~(r)&i))|i)
| 1 | 1 | 1 | 0 |
entailment
|
~(((~((r&u))&~((i|i)))>((i>u)&~(r))))
|
(((r&r)>(~(r)&i))|i)
| 0 | 1 | 1 | 1 |
not entailment
|
~((((u|r)>r)&(~(i)>r)))
|
((r|~(((~(i)&((i>r)>(i>u)))&r)))&r)
| 0 | 0 | 1 | 0 |
not entailment
|
~(((d&z)|m))
|
(m>e)
| 1 | 1 | 0 | 0 |
entailment
|
~((z|(~(~(i))&i)))
|
(~(i)>~(z))
| 1 | 1 | 1 | 0 |
entailment
|
~(((d&z)|m))
|
(~(i)>~(z))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z|(~(~(i))&i)))
|
(m>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((m|z))))
|
((z|z)>(d>(e|(e|~(m)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(m)&((m&m)&e))|(i>(z|d)))&(i&d))
|
(i|((~(e)>(e>(e|z)))>~(~(d))))
| 1 | 1 | 1 | 0 |
entailment
|
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