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 |
|---|---|---|---|---|---|---|
~((k|(e>~(~((z&(z>e)))))))
|
~(~(k))
| 0 | 1 | 1 | 0 |
not entailment
|
~((k>z))
|
(e&~((k|(k&(f>(f&f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((e&k)))&(e&k))
|
~((((~(e)|e)>((z&k)&~(e)))&(z|(k&f))))
| 1 | 0 | 0 | 0 |
entailment
|
(z|z)
|
(z|~((e|~((k>f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((e&k)))&(e&k))
|
(z|~((e|~((k>f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(z|z)
|
~((((~(e)|e)>((z&k)&~(e)))&(z|(k&f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&((e>(f>f))|f))&(~(e)&(f&z)))
|
(((z>k)&(((f>k)>f)|((k>(f|k))&f)))>z)
| 1 | 0 | 0 | 0 |
entailment
|
(e|~((~((e>z))>(e|k))))
|
((~(((k|~((k|e)))|f))&(k>(e&f)))|(z>e))
| 1 | 0 | 0 | 0 |
entailment
|
((z&((e>(f>f))|f))&(~(e)&(f&z)))
|
((~(((k|~((k|e)))|f))&(k>(e&f)))|(z>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(e|~((~((e>z))>(e|k))))
|
(((z>k)&(((f>k)>f)|((k>(f|k))&f)))>z)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(e)))
|
((e&(~(e)|~((e>(e>k)))))>k)
| 1 | 0 | 0 | 0 |
entailment
|
(e|((e>((e|(f|e))|z))>(~((e&~(f)))>e)))
|
(z>e)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(e)))
|
(z>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(e|((e>((e|(f|e))|z))>(~((e&~(f)))>e)))
|
((e&(~(e)|~((e>(e>k)))))>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(k)|k)&(e>~(z))))
|
((e|(z|(z|f)))|e)
| 1 | 1 | 0 | 0 |
entailment
|
~(f)
|
~((f|(f&e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(k)|k)&(e>~(z))))
|
~((f|(f&e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(f)
|
((e|(z|(z|f)))|e)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((e>(f|k))>~((z&k)))|~(~(~(f)))))
|
(((((e>e)&((e|(k>z))>z))&z)>f)>(f|f))
| 1 | 1 | 1 | 0 |
entailment
|
~((((z&e)>k)>(~(k)>~((k|~(f))))))
|
(f>((k|e)&((~(k)>z)>((e&z)&z))))
| 1 | 1 | 1 | 0 |
entailment
|
~((((e>(f|k))>~((z&k)))|~(~(~(f)))))
|
(f>((k|e)&((~(k)>z)>((e&z)&z))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((z&e)>k)>(~(k)>~((k|~(f))))))
|
(((((e>e)&((e|(k>z))>z))&z)>f)>(f|f))
| 0 | 1 | 1 | 0 |
not entailment
|
(e&e)
|
(((k|f)>(~((k|e))&z))>~(~(e)))
| 1 | 0 | 0 | 0 |
entailment
|
(z&((~(z)>(e|e))|(z|~(((k|z)&e)))))
|
((k>z)&z)
| 1 | 1 | 1 | 1 |
entailment
|
(e&e)
|
((k>z)&z)
| 0 | 0 | 0 | 0 |
not entailment
|
(z&((~(z)>(e|e))|(z|~(((k|z)&e)))))
|
(((k|f)>(~((k|e))&z))>~(~(e)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((f>f)>~((z>f)))&e)&k)
|
((e>e)&e)
| 1 | 1 | 1 | 0 |
entailment
|
((((k>e)>k)&k)&~(~((f&(f>z)))))
|
(f|(e&f))
| 1 | 1 | 1 | 0 |
entailment
|
((((f>f)>~((z>f)))&e)&k)
|
(f|(e&f))
| 0 | 1 | 1 | 1 |
not entailment
|
((((k>e)>k)&k)&~(~((f&(f>z)))))
|
((e>e)&e)
| 0 | 1 | 1 | 0 |
not entailment
|
~(z)
|
((e&z)|~(z))
| 1 | 0 | 0 | 0 |
entailment
|
(((((e&k)&k)>(k|f))>~((e|k)))|(f&~(f)))
|
(e>k)
| 1 | 1 | 1 | 1 |
entailment
|
~(z)
|
(e>k)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((e&k)&k)>(k|f))>~((e|k)))|(f&~(f)))
|
((e&z)|~(z))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(e&k))
|
(~((((f&k)|f)|((z>f)|k)))>(z>(k&~(f))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((z>e))&(f>e))
|
(~((f&e))|((~(~((k>e)))|k)&z))
| 1 | 0 | 0 | 0 |
entailment
|
(f&(e&k))
|
(~((f&e))|((~(~((k>e)))|k)&z))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((z>e))&(f>e))
|
(~((((f&k)|f)|((z>f)|k)))>(z>(k&~(f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((k&k)>(e>e))>k)|k)
|
(f|k)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((k|~(z))|k))&z)
|
((k|~(((e>(e|f))|f)))>(k>f))
| 1 | 0 | 0 | 0 |
entailment
|
((((k&k)>(e>e))>k)|k)
|
((k|~(((e>(e|f))|f)))>(k>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((k|~(z))|k))&z)
|
(f|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(f)&z)|k)
|
(~(~((z|k)))|~(((e&(f>~(e)))|(z&k))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(f)&((z&k)|e))|e)&(~(k)&(e|e)))
|
(k|(((~(~(k))>(f&e))&z)>e))
| 1 | 1 | 1 | 0 |
entailment
|
((~(f)&z)|k)
|
(k|(((~(~(k))>(f&e))&z)>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(f)&((z&k)|e))|e)&(~(k)&(e|e)))
|
(~(~((z|k)))|~(((e&(f>~(e)))|(z&k))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((f&((z>e)&((z|f)>~(e))))))
|
(e|(~(~(((e|z)|(z&f))))|f))
| 1 | 1 | 1 | 0 |
entailment
|
~((z|~(~(~(~((k>f)))))))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((f&((z>e)&((z|f)>~(e))))))
|
~(f)
| 0 | 1 | 1 | 1 |
not entailment
|
~((z|~(~(~(~((k>f)))))))
|
(e|(~(~(((e|z)|(z&f))))|f))
| 0 | 1 | 0 | 0 |
not entailment
|
((e>e)&((l&(e>z))&h))
|
(h|((l|r)>(e|(~(r)&x))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x>c)|a))
|
~((~((((l>(c&a))&a)>(b>z)))&h))
| 1 | 0 | 0 | 0 |
entailment
|
((e>e)&((l&(e>z))&h))
|
~((~((((l>(c&a))&a)>(b>z)))&h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x>c)|a))
|
(h|((l|r)>(e|(~(r)&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(z&u))
|
(h|(((r|u)|(u&r))>(u|a)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((e|b)&z)>b))
|
(~(b)>e)
| 1 | 1 | 1 | 1 |
entailment
|
(c&(z&u))
|
(~(b)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((e|b)&z)>b))
|
(h|(((r|u)|(u&r))>(u|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((a&b)>h)&((x&a)&~(r)))|((r&u)&~(x)))
|
(r|x)
| 1 | 1 | 1 | 1 |
entailment
|
~((c|~(((r>(u|c))>(u&u)))))
|
(~(c)|(((z>~(c))>(c>x))&~(~((e|h)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((a&b)>h)&((x&a)&~(r)))|((r&u)&~(x)))
|
(~(c)|(((z>~(c))>(c>x))&~(~((e|h)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((c|~(((r>(u|c))>(u&u)))))
|
(r|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((u>(z|h))&z))&(u|~(x)))
|
(~((~(z)|(~((x|h))&b)))>a)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~(((c|l)&l))&r)))
|
((e>r)&((e|a)>((a|(u>b))|(l>~(b)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((u>(z|h))&z))&(u|~(x)))
|
((e>r)&((e|a)>((a|(u>b))|(l>~(b)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(((c|l)&l))&r)))
|
(~((~(z)|(~((x|h))&b)))>a)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((r&l))>z))
|
~(z)
| 1 | 1 | 1 | 1 |
entailment
|
~((z>a))
|
(a>u)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((r&l))>z))
|
(a>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((z>a))
|
~(z)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((r&b)>(u&h)))
|
(b&b)
| 1 | 1 | 1 | 1 |
entailment
|
(((z&z)&c)&((h>l)&r))
|
((c&(c|(h>r)))|(e>((h&e)>~(h))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((r&b)>(u&h)))
|
((c&(c|(h>r)))|(e>((h&e)>~(h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z&z)&c)&((h>l)&r))
|
(b&b)
| 0 | 1 | 0 | 0 |
not entailment
|
((l|(a>(~((a>u))>h)))&(r&(l&(l>z))))
|
(~(~(z))|(l>b))
| 1 | 1 | 0 | 0 |
entailment
|
((~(h)&~(b))&~(~((c&l))))
|
~((h&(x&a)))
| 1 | 1 | 0 | 0 |
entailment
|
((l|(a>(~((a>u))>h)))&(r&(l&(l>z))))
|
~((h&(x&a)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(h)&~(b))&~(~((c&l))))
|
(~(~(z))|(l>b))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&(~(r)&((b|(x>u))|(~(z)|~((u>h))))))
|
~(((~((~((l>e))&z))|(e|a))&r))
| 1 | 1 | 0 | 0 |
entailment
|
(~(l)&(r|b))
|
((~((((z>a)&h)&l))|z)|(~((b>c))>a))
| 1 | 0 | 0 | 0 |
entailment
|
(e&(~(r)&((b|(x>u))|(~(z)|~((u>h))))))
|
((~((((z>a)&h)&l))|z)|(~((b>c))>a))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(l)&(r|b))
|
~(((~((~((l>e))&z))|(e|a))&r))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&((l|a)&e))
|
(~((~((l|(a>x)))|~(~(h))))|((b|a)|e))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~((e&l))&c)))
|
(((e|b)&u)>c)
| 1 | 1 | 0 | 0 |
entailment
|
(r&((l|a)&e))
|
(((e|b)&u)>c)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~((e&l))&c)))
|
(~((~((l|(a>x)))|~(~(h))))|((b|a)|e))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>~(b)))
|
(~((e>u))|(u|((((c|h)>a)>b)&b)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((~(l)>(c&e))>r)&z))&r)
|
(r|z)
| 1 | 1 | 1 | 0 |
entailment
|
~((c>~(b)))
|
(r|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((~(l)>(c&e))>r)&z))&r)
|
(~((e>u))|(u|((((c|h)>a)>b)&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((z>(~(h)>l)))
|
~((((x&(h|l))&r)|~((h>z))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((l&(c&c))>((c|b)&(a|(u>~((h|b)))))))
|
(~(((((l>b)|z)|(c>c))|~((h|a))))|(l|u))
| 1 | 1 | 0 | 0 |
entailment
|
~((z>(~(h)>l)))
|
(~(((((l>b)|z)|(c>c))|~((h|a))))|(l|u))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((l&(c&c))>((c|b)&(a|(u>~((h|b)))))))
|
~((((x&(h|l))&r)|~((h>z))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r>((b>~(h))>l)))
|
(~((h|b))|(z|((l&a)>r)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((e&(u>(r&x))))&b)&h)
|
(~(b)>((b|((z|c)>x))>(x&u)))
| 1 | 0 | 0 | 0 |
entailment
|
~((r>((b>~(h))>l)))
|
(~(b)>((b|((z|c)>x))>(x&u)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((e&(u>(r&x))))&b)&h)
|
(~((h|b))|(z|((l&a)>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&~(~((c&((c|(u>u))>(u|u))))))
|
(r>(u|a))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a&(x>(u&c)))|(e>~(~(z)))))
|
((x>e)|(((a&h)|(c|x))>(h>(c>(r|e)))))
| 1 | 0 | 0 | 0 |
entailment
|
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