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 |
|---|---|---|---|---|---|---|
~((l|~(o)))
|
((y&v)>(y&o))
| 1 | 1 | 0 | 0 |
entailment
|
(a|a)
|
((a|b)|~(~((o>b))))
| 1 | 0 | 0 | 0 |
entailment
|
~((l|~(o)))
|
((a|b)|~(~((o>b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(a|a)
|
((y&v)>(y&o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((e>(e>l))|~(a))|v)|(((e&v)|y)&e)))
|
((v|a)>((o&(y&k))|~(l)))
| 1 | 1 | 0 | 0 |
entailment
|
((k&l)&o)
|
~(~((((a>o)|(o&~(~(l))))|b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((e>(e>l))|~(a))|v)|(((e&v)|y)&e)))
|
~(~((((a>o)|(o&~(~(l))))|b)))
| 0 | 1 | 0 | 0 |
not entailment
|
((k&l)&o)
|
((v|a)>((o&(y&k))|~(l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((v>y)&~(y))
|
(~(v)|o)
| 1 | 1 | 0 | 0 |
entailment
|
(e&l)
|
(e|y)
| 1 | 1 | 0 | 0 |
entailment
|
((v>y)&~(y))
|
(e|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(e&l)
|
(~(v)|o)
| 0 | 0 | 0 | 0 |
not entailment
|
~((e>l))
|
((e&e)&e)
| 1 | 1 | 1 | 1 |
entailment
|
~(e)
|
(o>(e>b))
| 1 | 0 | 0 | 0 |
entailment
|
~((e>l))
|
(o>(e>b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(e)
|
((e&e)&e)
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(~((((~(y)|c)>(m&e))|(~(b)|k)))))
|
(~((n&(e>c)))>((k|e)>~(m)))
| 1 | 1 | 0 | 0 |
entailment
|
((y>c)&(z&((n&e)&b)))
|
((c|(m|z))&((c>b)>n))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((((~(y)|c)>(m&e))|(~(b)|k)))))
|
((c|(m|z))&((c>b)>n))
| 0 | 1 | 0 | 0 |
not entailment
|
((y>c)&(z&((n&e)&b)))
|
(~((n&(e>c)))>((k|e)>~(m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k|c)>c)&(z&k))
|
((z|b)|((y>~(e))>(n>b)))
| 1 | 0 | 0 | 0 |
entailment
|
((n&e)&(((m&m)|(m&k))&((m&(n&c))>e)))
|
~(~((~((e>((y&k)&(~(y)&c))))|e)))
| 1 | 1 | 0 | 0 |
entailment
|
(((k|c)>c)&(z&k))
|
~(~((~((e>((y&k)&(~(y)&c))))|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
((n&e)&(((m&m)|(m&k))&((m&(n&c))>e)))
|
((z|b)|((y>~(e))>(n>b)))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&~(~(((((c&n)>~((b>y)))>k)&~(k)))))
|
(~(~(n))>(((z|c)|c)>y))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(e))&~(~(((z|n)>(k|b)))))
|
((m&y)|(~(m)>e))
| 1 | 1 | 0 | 0 |
entailment
|
(b&~(~(((((c&n)>~((b>y)))>k)&~(k)))))
|
((m&y)|(~(m)>e))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(e))&~(~(((z|n)>(k|b)))))
|
(~(~(n))>(((z|c)|c)>y))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(b&(y>z)))
|
((~((y&~(k)))>z)|~((y&n)))
| 1 | 0 | 0 | 0 |
entailment
|
(((m>(k&y))|(z|n))&n)
|
((((k&k)&n)>z)>(n|z))
| 1 | 1 | 1 | 0 |
entailment
|
(b&(b&(y>z)))
|
((((k&k)&n)>z)>(n|z))
| 0 | 0 | 0 | 0 |
not entailment
|
(((m>(k&y))|(z|n))&n)
|
((~((y&~(k)))>z)|~((y&n)))
| 0 | 0 | 1 | 0 |
not entailment
|
(z&(n|b))
|
(~((m&((m>(k>n))|(m|c))))|z)
| 1 | 0 | 0 | 0 |
entailment
|
((~(z)&m)&(y&~(~((n>y)))))
|
((y|y)&((~(b)|~(b))>((e>m)|b)))
| 1 | 0 | 0 | 0 |
entailment
|
(z&(n|b))
|
((y|y)&((~(b)|~(b))>((e>m)|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(z)&m)&(y&~(~((n>y)))))
|
(~((m&((m>(k>n))|(m|c))))|z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((e|(y&~(c)))&((c>(m|k))|y))))
|
((y|k)|e)
| 1 | 1 | 1 | 1 |
entailment
|
~((z|e))
|
~((c&((k>m)&e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((e|(y&~(c)))&((c>(m|k))|y))))
|
~((c&((k>m)&e)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((z|e))
|
((y|k)|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(n&k)
|
(k>n)
| 1 | 1 | 1 | 0 |
entailment
|
(~(y)&~((~(z)|y)))
|
((z|c)|(e>z))
| 1 | 1 | 0 | 0 |
entailment
|
(n&k)
|
((z|c)|(e>z))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)&~((~(z)|y)))
|
(k>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&~((m|b)))
|
(((z&~((b&y)))|m)|(b>n))
| 1 | 0 | 0 | 0 |
entailment
|
~((((m&k)|(z|e))>(z|k)))
|
((((y&z)>e)>(e|n))|b)
| 1 | 1 | 0 | 0 |
entailment
|
(y&~((m|b)))
|
((((y&z)>e)>(e|n))|b)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((m&k)|(z|e))>(z|k)))
|
(((z&~((b&y)))|m)|(b>n))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(k)|((~(b)&~((z|m)))&e))
|
(k>(b>(y>z)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((m&z))&(((n>(n|m))>b)&n))
|
((n>~(((~(k)&(k|m))|b)))|(~(b)>b))
| 1 | 0 | 0 | 0 |
entailment
|
(~(k)|((~(b)&~((z|m)))&e))
|
((n>~(((~(k)&(k|m))|b)))|(~(b)>b))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((m&z))&(((n>(n|m))>b)&n))
|
(k>(b>(y>z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((n>~((m|e))))&(b&z))
|
(~(n)>e)
| 1 | 1 | 1 | 1 |
entailment
|
((~(z)&k)&(~(n)|~((m|b))))
|
(z>~((((z|k)>y)&b)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((n>~((m|e))))&(b&z))
|
(z>~((((z|k)>y)&b)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(z)&k)&(~(n)|~((m|b))))
|
(~(n)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&n)
|
((~(b)>b)>n)
| 1 | 0 | 0 | 0 |
entailment
|
(((c>e)&m)&b)
|
(~((~((k>(z|(e&n))))>(y|~(n))))>(m&b))
| 1 | 0 | 0 | 0 |
entailment
|
(k&n)
|
(~((~((k>(z|(e&n))))>(y|~(n))))>(m&b))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c>e)&m)&b)
|
((~(b)>b)>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(b&((~(~(n))&(e&y))&(n>(c|e)))))
|
(b&(b|(b&n)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((y>k)|((((c&~(y))>e)>y)>((b&b)|z))))
|
(~(((z|e)&m))>~(z))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(b&((~(~(n))&(e&y))&(n>(c|e)))))
|
(~(((z|e)&m))>~(z))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((y>k)|((((c&~(y))>e)>y)>((b&b)|z))))
|
(b&(b|(b&n)))
| 0 | 1 | 0 | 0 |
not entailment
|
((e|n)&~(~((k&y))))
|
(~(~(c))|((n|(b&y))>k))
| 1 | 0 | 0 | 0 |
entailment
|
((z&m)&~((b>n)))
|
((((c&c)>z)>n)>(e>b))
| 1 | 0 | 0 | 0 |
entailment
|
((e|n)&~(~((k&y))))
|
((((c&c)>z)>n)>(e>b))
| 0 | 1 | 0 | 0 |
not entailment
|
((z&m)&~((b>n)))
|
(~(~(c))|((n|(b&y))>k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((z>y)|(m>(b>k)))>k))
|
(c|(((z>k)>(((y|m)|((k>z)|c))|e))|c))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(k))
|
(~(((b>k)|c))>(b&((b>y)>m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((z>y)|(m>(b>k)))>k))
|
(~(((b>k)|c))>(b&((b>y)>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(k))
|
(c|(((z>k)>(((y|m)|((k>z)|c))|e))|c))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((y&n)|(k&e))>~(~(~(m)))))
|
~(~((n|(n|k))))
| 1 | 1 | 1 | 1 |
entailment
|
~((c|~(~((y>(b|n))))))
|
(y|y)
| 1 | 1 | 1 | 1 |
entailment
|
~((((y&n)|(k&e))>~(~(~(m)))))
|
(y|y)
| 0 | 1 | 1 | 1 |
not entailment
|
~((c|~(~((y>(b|n))))))
|
~(~((n|(n|k))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((k|~(m)))
|
(k>(z>(m|y)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((b&z)&(c>m))))
|
(y|(((b>((b|~(c))>y))&n)>~(n)))
| 1 | 0 | 0 | 0 |
entailment
|
~((k|~(m)))
|
(y|(((b>((b|~(c))>y))&n)>~(n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((b&z)&(c>m))))
|
(k>(z>(m|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
((n>((m>z)|(c|n)))>(~((e&y))>m))
|
~((c&~(((((z|b)&(b&e))>m)|y))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((n&z)))
|
((c|c)|(m|z))
| 1 | 1 | 0 | 0 |
entailment
|
((n>((m>z)|(c|n)))>(~((e&y))>m))
|
((c|c)|(m|z))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((n&z)))
|
~((c&~(((((z|b)&(b&e))>m)|y))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((n&(m&y))))
|
~(~(((z|n)|(n&((b|y)>(k|b))))))
| 1 | 0 | 0 | 0 |
entailment
|
(m&~(e))
|
(k>(e>~(k)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((n&(m&y))))
|
(k>(e>~(k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&~(e))
|
~(~(((z|n)|(n&((b|y)>(k|b))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((u&i)))
|
(i|p)
| 1 | 1 | 0 | 0 |
entailment
|
(h&(u&((r>p)>h)))
|
((n>h)&u)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((u&i)))
|
((n>h)&u)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(u&((r>p)>h)))
|
(i|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(u&p)
|
~((((a&(p>f))|o)&(u>~(u))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(~((r&u)))|a)|((n>(i&(h|o)))|i)))
|
(u>n)
| 1 | 1 | 1 | 1 |
entailment
|
(u&p)
|
(u>n)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(~((r&u)))|a)|((n>(i&(h|o)))|i)))
|
~((((a&(p>f))|o)&(u>~(u))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((o|f)>r)&(i>~(n)))&~(r))
|
(o|~(f))
| 1 | 1 | 1 | 0 |
entailment
|
((h&i)&u)
|
((~(~(~(((u>~(f))|h))))|(a>r))|u)
| 1 | 0 | 0 | 0 |
entailment
|
((((o|f)>r)&(i>~(n)))&~(r))
|
((~(~(~(((u>~(f))|h))))|(a>r))|u)
| 0 | 0 | 0 | 0 |
not entailment
|
((h&i)&u)
|
(o|~(f))
| 0 | 1 | 0 | 0 |
not entailment
|
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