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 |
|---|---|---|---|---|---|---|
((j&(j&h))&(~(h)|((j>t)|(e|h))))
|
((~((e|e))>(h|~(((j&t)|t))))>~(~(t)))
| 0 | 0 | 1 | 0 |
not entailment
|
((j>(~(t)|e))&((e>~(j))&t))
|
((((j|t)&(h|j))|e)&(h|t))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&p)
|
((z|(((i|a)>s)|(s|((h>p)>i))))>(k|h))
| 1 | 0 | 0 | 0 |
entailment
|
(z&((~(p)&i)>k))
|
~(~(~((~(z)&s))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&p)
|
~(~(~((~(z)&s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&((~(p)&i)>k))
|
((z|(((i|a)>s)|(s|((h>p)>i))))>(k|h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h&z)>a))
|
((a>(~(s)>~(k)))|(i>~(a)))
| 1 | 0 | 0 | 0 |
entailment
|
~((k>(a&h)))
|
(((s&(i&k))>(h&h))>k)
| 1 | 0 | 0 | 0 |
entailment
|
~(((h&z)>a))
|
(((s&(i&k))>(h&h))>k)
| 0 | 0 | 0 | 0 |
not entailment
|
~((k>(a&h)))
|
((a>(~(s)>~(k)))|(i>~(a)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&h)&(i|a))
|
(((i|~((a>k)))>k)>h)
| 1 | 0 | 1 | 0 |
entailment
|
((h>(~(k)&k))&i)
|
(i|((s&(k|a))&(i>p)))
| 1 | 0 | 0 | 0 |
entailment
|
((k&h)&(i|a))
|
(i|((s&(k|a))&(i>p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((h>(~(k)&k))&i)
|
(((i|~((a>k)))>k)>h)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z>h)|~(((h|k)|(z>s)))))
|
(k|z)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((h&(s&p))))
|
(p|((k|p)&~((s|k))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((z>h)|~(((h|k)|(z>s)))))
|
(p|((k|p)&~((s|k))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((h&(s&p))))
|
(k|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(((p>z)&(a|i))&((p|i)&((a&a)>~((h|a)))))
|
(k|((h&(a>i))|((h|i)|(s|z))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(s)&(p|(~((~(s)|i))&(p&k))))
|
(k>~(s))
| 1 | 1 | 1 | 0 |
entailment
|
(((p>z)&(a|i))&((p|i)&((a&a)>~((h|a)))))
|
(k>~(s))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(s)&(p|(~((~(s)|i))&(p&k))))
|
(k|((h&(a>i))|((h|i)|(s|z))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(k))|(i|s))&~(h))
|
(p|(a|~(((p|h)&~(~((h&(i>p))))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((s>p)&i)|a))
|
(a>~(a))
| 1 | 1 | 1 | 1 |
entailment
|
((~(~(k))|(i|s))&~(h))
|
(a>~(a))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((s>p)&i)|a))
|
(p|(a|~(((p|h)&~(~((h&(i>p))))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a&i)&s)&((p&a)&(((k>~(z))|(z&a))>p)))
|
(~(i)>(k&p))
| 1 | 1 | 1 | 1 |
entailment
|
~((z|a))
|
(((p|(i&h))>(~(z)&(a>~(s))))|(h&p))
| 1 | 0 | 0 | 0 |
entailment
|
(((a&i)&s)&((p&a)&(((k>~(z))|(z&a))>p)))
|
(((p|(i&h))>(~(z)&(a>~(s))))|(h&p))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z|a))
|
(~(i)>(k&p))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&z)
|
~(~((((p&s)>(a>(h>a)))>(i|k))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h|z)|s))
|
~(~(((p|p)>~(h))))
| 1 | 0 | 0 | 0 |
entailment
|
(i&z)
|
~(~(((p|p)>~(h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h|z)|s))
|
~(~((((p&s)>(a>(h>a)))>(i|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&(a|s))
|
~(((h&(~(z)&h))&(((a|i)&z)>(p>a))))
| 1 | 0 | 0 | 0 |
entailment
|
~((i|((a>k)&((s&~(~(a)))>(a|h)))))
|
(~((p|z))|(i>p))
| 1 | 1 | 0 | 0 |
entailment
|
(z&(a|s))
|
(~((p|z))|(i>p))
| 0 | 0 | 0 | 0 |
not entailment
|
~((i|((a>k)&((s&~(~(a)))>(a|h)))))
|
~(((h&(~(z)&h))&(((a|i)&z)>(p>a))))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&z)
|
(((i&a)&(h&~((k>s))))>(z&(z>a)))
| 1 | 0 | 0 | 0 |
entailment
|
((((p|(a>s))|h)|(k|a))>((h&(i&k))&(k>h)))
|
(((s&(i|z))|(~(i)|i))>h)
| 1 | 1 | 0 | 0 |
entailment
|
(z&z)
|
(((s&(i|z))|(~(i)|i))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
((((p|(a>s))|h)|(k|a))>((h&(i&k))&(k>h)))
|
(((i&a)&(h&~((k>s))))>(z&(z>a)))
| 0 | 1 | 0 | 0 |
not entailment
|
((k&i)&((a>z)>((~(p)&z)|(~(i)>p))))
|
((z|i)|(((((h&i)>p)&(h&z))>~((p|s)))&s))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((i&z)|((i>p)>h))|a)|(i|s)))
|
(p>~(h))
| 1 | 1 | 1 | 0 |
entailment
|
((k&i)&((a>z)>((~(p)&z)|(~(i)>p))))
|
(p>~(h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((i&z)|((i>p)>h))|a)|(i|s)))
|
((z|i)|(((((h&i)>p)&(h&z))>~((p|s)))&s))
| 0 | 0 | 1 | 0 |
not entailment
|
(i|z)
|
((~(z)>k)|(p|i))
| 1 | 0 | 0 | 0 |
entailment
|
((h&h)&~(~(a)))
|
(~(h)>(i&~(~(~(~(s))))))
| 1 | 0 | 0 | 0 |
entailment
|
(i|z)
|
(~(h)>(i&~(~(~(~(s))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&h)&~(~(a)))
|
((~(z)>k)|(p|i))
| 0 | 1 | 0 | 0 |
not entailment
|
~((h>(s>i)))
|
(((h>(p&k))&i)|((z&i)>a))
| 1 | 0 | 0 | 0 |
entailment
|
(z&~(k))
|
(z|(((s|k)|k)&(((p&p)>i)|(k|z))))
| 1 | 0 | 0 | 0 |
entailment
|
~((h>(s>i)))
|
(z|(((s|k)|k)&(((p&p)>i)|(k|z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&~(k))
|
(((h>(p&k))&i)|((z&i)>a))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((p>(z&k))>i)|k))
|
~((~(s)&(i&p)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((k&(a>i))))
|
((s|~((k>k)))>(p|(z|k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((p>(z&k))>i)|k))
|
((s|~((k>k)))>(p|(z|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((k&(a>i))))
|
~((~(s)&(i&p)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z>((k|((h|z)|i))>(i|k))))
|
~(i)
| 1 | 1 | 1 | 1 |
entailment
|
(a&p)
|
((a>~((p|((i&h)>~(z)))))>~((z>s)))
| 1 | 0 | 0 | 0 |
entailment
|
~((z>((k|((h|z)|i))>(i|k))))
|
((a>~((p|((i&h)>~(z)))))>~((z>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&p)
|
~(i)
| 0 | 1 | 0 | 0 |
not entailment
|
((p&z)|a)
|
(((h|a)|a)|z)
| 1 | 0 | 0 | 0 |
entailment
|
((~(a)>k)&~((p>~(i))))
|
(i&((p|i)|(~(((p|k)>s))>~((a&~(a))))))
| 1 | 0 | 0 | 0 |
entailment
|
((p&z)|a)
|
(i&((p|i)|(~(((p|k)>s))>~((a&~(a))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(a)>k)&~((p>~(i))))
|
(((h|a)|a)|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(((u>p)&b)&(f|(p>u)))
|
(b|e)
| 1 | 1 | 0 | 0 |
entailment
|
(f&(((b>f)&f)|(r>u)))
|
((~(u)>f)|(~(~(p))&(r>(e&(b>e)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((u>p)&b)&(f|(p>u)))
|
((~(u)>f)|(~(~(p))&(r>(e&(b>e)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&(((b>f)&f)|(r>u)))
|
(b|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&~(~((~(((f>p)&u))>(u|(e&(r>r)))))))
|
((f|(p|r))|b)
| 1 | 1 | 0 | 0 |
entailment
|
(~(f)&(b|(((f|e)>(e|p))|(b|f))))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
(r&~(~((~(((f>p)&u))>(u|(e&(r>r)))))))
|
~(f)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(f)&(b|(((f|e)>(e|p))|(b|f))))
|
((f|(p|r))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(((e&~(p))&~(f))&(r&~((u&e))))
|
(((f>(p&b))&((p>(p&b))|e))&e)
| 1 | 1 | 0 | 0 |
entailment
|
~(((u>~(((~(u)&e)|r)))|(b|~((f&r)))))
|
((f&r)&r)
| 1 | 1 | 1 | 1 |
entailment
|
(((e&~(p))&~(f))&(r&~((u&e))))
|
((f&r)&r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((u>~(((~(u)&e)|r)))|(b|~((f&r)))))
|
(((f>(p&b))&((p>(p&b))|e))&e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e&f)|r))
|
((~(e)>((r|~(b))>u))|(b>f))
| 1 | 0 | 0 | 0 |
entailment
|
~(e)
|
((e>b)&(~(e)>((e>u)|r)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((e&f)|r))
|
((e>b)&(~(e)>((e>u)|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(e)
|
((~(e)>((r|~(b))>u))|(b>f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u&e)>b))
|
(b>~((r>(b>b))))
| 1 | 0 | 0 | 0 |
entailment
|
((p&f)&(p>(u&(u&r))))
|
(e>r)
| 1 | 1 | 0 | 0 |
entailment
|
~(((u&e)>b))
|
(e>r)
| 0 | 1 | 0 | 0 |
not entailment
|
((p&f)&(p>(u&(u&r))))
|
(b>~((r>(b>b))))
| 0 | 1 | 0 | 0 |
not entailment
|
((r|(~(u)&p))&e)
|
(~(~(~((r>u))))|e)
| 1 | 0 | 1 | 1 |
entailment
|
(~(r)&(f|(r|r)))
|
(u|f)
| 1 | 1 | 0 | 0 |
entailment
|
((r|(~(u)&p))&e)
|
(u|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(r)&(f|(r|r)))
|
(~(~(~((r>u))))|e)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(f)|~((e>~(p))))|((u>r)>p)))
|
(((b&f)|((~(~(r))>e)&(p|f)))|r)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((e|(~((e>e))&e))&u)&e)>p))
|
(((b&(e&r))&~((u|f)))|e)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(f)|~((e>~(p))))|((u>r)>p)))
|
(((b&(e&r))&~((u|f)))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((e|(~((e>e))&e))&u)&e)>p))
|
(((b&f)|((~(~(r))>e)&(p|f)))|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(((p&p)>u)&((~((b&((p|~(p))|b)))&e)&f))
|
(b|e)
| 1 | 1 | 1 | 0 |
entailment
|
(((b&e)>r)&~(r))
|
(~(~(~(r)))|(e&u))
| 1 | 0 | 0 | 0 |
entailment
|
(((p&p)>u)&((~((b&((p|~(p))|b)))&e)&f))
|
(~(~(~(r)))|(e&u))
| 0 | 1 | 0 | 0 |
not entailment
|
(((b&e)>r)&~(r))
|
(b|e)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((e>b))&r)
|
(~(~((b>~(r))))|(~((f>((u|e)&f)))|p))
| 1 | 0 | 0 | 0 |
entailment
|
~(((e|(b>e))|e))
|
~((~(b)&p))
| 1 | 1 | 0 | 0 |
entailment
|
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