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 |
|---|---|---|---|---|---|---|
(r&(~((p>k))&((d>a)>r)))
|
(((~(a)>a)&~(s))|~(~((~(n)|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&h)
|
(((r>~((d>x)))>n)>h)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(p)>k))
|
~(((p&(h|c))&(c&d)))
| 1 | 0 | 0 | 0 |
entailment
|
(x&h)
|
~(((p&(h|c))&(c&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(p)>k))
|
(((r>~((d>x)))>n)>h)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x&(x|r))>c))
|
(~((d&r))>((a&(((n&r)>c)>(k&c)))>(p|x)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((c&n)))>(x&h)))
|
(r>n)
| 1 | 1 | 0 | 0 |
entailment
|
~(((x&(x|r))>c))
|
(r>n)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((c&n)))>(x&h)))
|
(~((d&r))>((a&(((n&r)>c)>(k&c)))>(p|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((x>n)|s))&x)
|
(h>(k>(k&x)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((a&r))|(((((k|k)>h)&h)|h)&n))|x))
|
((h>(r&a))|a)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((x>n)|s))&x)
|
((h>(r&a))|a)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((a&r))|(((((k|k)>h)&h)|h)&n))|x))
|
(h>(k>(k&x)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(k)|n)
|
(~((k|k))|n)
| 1 | 0 | 1 | 1 |
entailment
|
~(~(h))
|
((r|h)|(k|a))
| 1 | 0 | 0 | 0 |
entailment
|
(~(k)|n)
|
((r|h)|(k|a))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(h))
|
(~((k|k))|n)
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(p)|d)&(h>d))&s)
|
((p|p)>(a|d))
| 1 | 1 | 0 | 0 |
entailment
|
~(r)
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
(((~(p)|d)&(h>d))&s)
|
~(r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(r)
|
((p|p)>(a|d))
| 0 | 0 | 0 | 0 |
not entailment
|
~(a)
|
((x&p)|(~(((c>a)|x))|~(a)))
| 1 | 0 | 0 | 0 |
entailment
|
(((p>~(n))>~(s))&p)
|
~(~((((h>d)|(x>(h>(r|r))))|p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(a)
|
~(~((((h>d)|(x>(h>(r|r))))|p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p>~(n))>~(s))&p)
|
((x&p)|(~(((c>a)|x))|~(a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a>(r&~(((s|(s>a))|(a|x)))))
|
~(~(((~(p)|c)>(a>p))))
| 1 | 1 | 0 | 0 |
entailment
|
((c>(~(n)|h))>n)
|
((s&~(~(~((c|h)))))|n)
| 1 | 0 | 0 | 0 |
entailment
|
(a>(r&~(((s|(s>a))|(a|x)))))
|
((s&~(~(~((c|h)))))|n)
| 0 | 1 | 0 | 0 |
not entailment
|
((c>(~(n)|h))>n)
|
~(~(((~(p)|c)>(a>p))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((((n&x)&((c>d)>s))>k))))
|
(r|(n|r))
| 1 | 1 | 0 | 0 |
entailment
|
((~((x&~(c)))>h)&~((s>(x>k))))
|
(x>((~(~(d))|(d>~(h)))>s))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((((n&x)&((c>d)>s))>k))))
|
(x>((~(~(d))|(d>~(h)))>s))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((x&~(c)))>h)&~((s>(x>k))))
|
(r|(n|r))
| 0 | 1 | 0 | 0 |
not entailment
|
((c&((x>x)&k))&(~(((x&a)&x))>(r>k)))
|
(((a>n)&(k&(a>n)))|((k|h)&(x>(s>x))))
| 1 | 1 | 0 | 0 |
entailment
|
(n&x)
|
((~(((a>s)&(a&d)))&(h|s))|x)
| 1 | 0 | 0 | 0 |
entailment
|
((c&((x>x)&k))&(~(((x&a)&x))>(r>k)))
|
((~(((a>s)&(a&d)))&(h|s))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(n&x)
|
(((a>n)&(k&(a>n)))|((k|h)&(x>(s>x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&p)
|
(s|~((~(((p|(d|k))>(a>(k|h))))&~(p))))
| 1 | 0 | 0 | 0 |
entailment
|
(((h>p)>r)&((~(c)&c)|(x|a)))
|
(~((k&((((x&a)&r)|~(h))&n)))|(x|a))
| 1 | 0 | 0 | 0 |
entailment
|
(c&p)
|
(~((k&((((x&a)&r)|~(h))&n)))|(x|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h>p)>r)&((~(c)&c)|(x|a)))
|
(s|~((~(((p|(d|k))>(a>(k|h))))&~(p))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((d&h)>s)|~(~(((x>(r&d))>(n|r))))))
|
((s|((p>x)&a))|((k|~((a&a)))>~(n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((x>~((h&x))))
|
((~(x)>(h>k))&(x&(k>k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((d&h)>s)|~(~(((x>(r&d))>(n|r))))))
|
((~(x)>(h>k))&(x&(k>k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((x>~((h&x))))
|
((s|((p>x)&a))|((k|~((a&a)))>~(n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((c|s)&~(c))
|
(p>(~(((s|x)>c))|x))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(((n&p)&k)))&(n>p))&(s|(~(a)&a)))
|
(s&n)
| 1 | 1 | 1 | 1 |
entailment
|
((c|s)&~(c))
|
(s&n)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(((n&p)&k)))&(n>p))&(s|(~(a)&a)))
|
(p>(~(((s|x)>c))|x))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((p&~(r))>((d>(~(d)&p))|s)))
|
((~((h&~((d&p))))&((r&x)|~(d)))>s)
| 1 | 0 | 0 | 0 |
entailment
|
~(((k&(x&p))>~((r|((s|n)&(r&n))))))
|
((r|h)>(r|(p>c)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((p&~(r))>((d>(~(d)&p))|s)))
|
((r|h)>(r|(p>c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k&(x&p))>~((r|((s|n)&(r&n))))))
|
((~((h&~((d&p))))&((r&x)|~(d)))>s)
| 0 | 1 | 0 | 0 |
not entailment
|
~((n>(u|(c>z))))
|
(~((e&(h&k)))>(z|((c&(h|z))>n)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((z|c)>z))>(u>~(k))))
|
(~(~(((e|k)|h)))|((u&k)|(e|(~(h)&h))))
| 1 | 0 | 0 | 0 |
entailment
|
~((n>(u|(c>z))))
|
(~(~(((e|k)|h)))|((u&k)|(e|(~(h)&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((z|c)>z))>(u>~(k))))
|
(~((e&(h&k)))>(z|((c&(h|z))>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((z&h)&e))|(h>(h&(z>a)))))
|
(((a>a)|~(u))&~(~(z)))
| 1 | 1 | 0 | 0 |
entailment
|
((z|(e&h))&(h&(k&(((c&h)|h)>h))))
|
((k>u)>u)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((z&h)&e))|(h>(h&(z>a)))))
|
((k>u)>u)
| 0 | 1 | 0 | 0 |
not entailment
|
((z|(e&h))&(h&(k&(((c&h)|h)>h))))
|
(((a>a)|~(u))&~(~(z)))
| 0 | 1 | 0 | 0 |
not entailment
|
((e>e)>(e&(u&(a&k))))
|
(~(u)>(n>h))
| 1 | 1 | 0 | 0 |
entailment
|
(((z&z)&a)&c)
|
(z|(h&(n&(a&e))))
| 1 | 0 | 0 | 0 |
entailment
|
((e>e)>(e&(u&(a&k))))
|
(z|(h&(n&(a&e))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((z&z)&a)&c)
|
(~(u)>(n>h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((e>(k&h)))&a)
|
((n&(~((u&c))|(n>a)))|(a|h))
| 1 | 0 | 0 | 0 |
entailment
|
((~(n)&u)&((h|e)>n))
|
(u|~(e))
| 1 | 1 | 1 | 1 |
entailment
|
(~((e>(k&h)))&a)
|
(u|~(e))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(n)&u)&((h|e)>n))
|
((n&(~((u&c))|(n>a)))|(a|h))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&h)&~((((e&~((a>z)))|(k&u))|z)))
|
(n|h)
| 1 | 1 | 0 | 0 |
entailment
|
~((c>(n&(c>n))))
|
(e|(c|~(((e>c)|(c>h)))))
| 1 | 0 | 0 | 0 |
entailment
|
((k&h)&~((((e&~((a>z)))|(k&u))|z)))
|
(e|(c|~(((e>c)|(c>h)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((c>(n&(c>n))))
|
(n|h)
| 0 | 1 | 0 | 0 |
not entailment
|
~((h|~(((k&a)&~(n)))))
|
(~(~((h|(a|h))))&((u&n)>(k&(n>c))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((z|a)|((e&(h>k))&(a>z))))
|
~(~((a>n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((h|~(((k&a)&~(n)))))
|
~(~((a>n)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((z|a)|((e&(h>k))&(a>z))))
|
(~(~((h|(a|h))))&((u&n)>(k&(n>c))))
| 0 | 0 | 0 | 0 |
not entailment
|
((n|(k>k))>z)
|
(~(u)|z)
| 1 | 1 | 0 | 0 |
entailment
|
~((u>h))
|
(h>((n>n)>u))
| 1 | 0 | 0 | 0 |
entailment
|
((n|(k>k))>z)
|
(h>((n>n)>u))
| 0 | 1 | 0 | 0 |
not entailment
|
~((u>h))
|
(~(u)|z)
| 0 | 1 | 0 | 0 |
not entailment
|
((((~(c)|n)>a)|(e>e))>u)
|
(((z|h)>((k|n)>~((c|u))))>u)
| 1 | 0 | 0 | 0 |
entailment
|
(z&n)
|
((n>z)&(e>(a>(a&z))))
| 1 | 0 | 0 | 0 |
entailment
|
((((~(c)|n)>a)|(e>e))>u)
|
((n>z)&(e>(a>(a&z))))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&n)
|
(((z|h)>((k|n)>~((c|u))))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
((~((e&h))>(h>u))&((e&c)&((k&~(k))>h)))
|
(((e|u)|a)|(((n|e)|(e>(k>(c>z))))>(u&k)))
| 1 | 1 | 0 | 0 |
entailment
|
(((z&n)|(c&e))&(c&(k&(e>~(z)))))
|
(~(z)|((u>((u&n)|n))>n))
| 1 | 1 | 0 | 0 |
entailment
|
((~((e&h))>(h>u))&((e&c)&((k&~(k))>h)))
|
(~(z)|((u>((u&n)|n))>n))
| 0 | 1 | 0 | 0 |
not entailment
|
(((z&n)|(c&e))&(c&(k&(e>~(z)))))
|
(((e|u)|a)|(((n|e)|(e>(k>(c>z))))>(u&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a>e)|~(((n>c)&c))))
|
(~(~((u|(k|~(~(c))))))&a)
| 1 | 0 | 0 | 0 |
entailment
|
(((e&z)|(e&c))&(z|h))
|
((z&~((c>e)))>n)
| 1 | 1 | 0 | 0 |
entailment
|
~(((a>e)|~(((n>c)&c))))
|
((z&~((c>e)))>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((e&z)|(e&c))&(z|h))
|
(~(~((u|(k|~(~(c))))))&a)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((c>z)>n))
|
(u|((h|n)>h))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(~(k)))>u))
|
((k&h)>(c>(~((h>~(h)))&((n&h)|n))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((c>z)>n))
|
((k&h)>(c>(~((h>~(h)))&((n&h)|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(~(k)))>u))
|
(u|((h|n)>h))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((n&u))>(~(~(((a>c)>u)))|(z|h))))
|
((z&((k|(h&e))>~(((c>a)>n))))>(c&u))
| 1 | 1 | 0 | 0 |
entailment
|
((z&u)&((~(e)&(~(a)|(u>n)))>(a>(e>k))))
|
(z|u)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((n&u))>(~(~(((a>c)>u)))|(z|h))))
|
(z|u)
| 0 | 1 | 1 | 0 |
not entailment
|
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