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 |
|---|---|---|---|---|---|---|
(f&t)
|
(((z&t)|(t|(z&l)))>(f&f))
| 1 | 0 | 0 | 0 |
entailment
|
((((h&f)>t)>l)&(l&~((h|~((z&z))))))
|
(((z&t)|(t|(z&l)))>(f&f))
| 0 | 1 | 1 | 0 |
not entailment
|
(f&t)
|
~((l>(z>~(((h|t)|(z>l))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&~(~(((e|e)>((e>e)|e)))))
|
((e|e)&e)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(~((e>e)))>(e|e)))
|
~((e|(e&(e&e))))
| 1 | 1 | 1 | 1 |
entailment
|
(e&~(~(((e|e)>((e>e)|e)))))
|
~((e|(e&(e&e))))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(~((e>e)))>(e|e)))
|
((e|e)&e)
| 0 | 1 | 1 | 1 |
not entailment
|
(((e>e)&e)&((~(e)|e)|e))
|
((e>(e&e))&(e|e))
| 1 | 1 | 1 | 1 |
entailment
|
~(e)
|
~(((e|e)|e))
| 1 | 0 | 1 | 1 |
entailment
|
(((e>e)&e)&((~(e)|e)|e))
|
~(((e|e)|e))
| 0 | 1 | 1 | 1 |
not entailment
|
~(e)
|
((e>(e&e))&(e|e))
| 0 | 0 | 1 | 0 |
not entailment
|
~((d>((~(q)|(e|c))>~((q|s)))))
|
((e>q)>((~(q)&t)>(s|e)))
| 1 | 1 | 0 | 0 |
entailment
|
((k&c)&(t|t))
|
(~((k|~(((e|e)|k))))>t)
| 1 | 0 | 0 | 0 |
entailment
|
~((d>((~(q)|(e|c))>~((q|s)))))
|
(~((k|~(((e|e)|k))))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
((k&c)&(t|t))
|
((e>q)>((~(q)&t)>(s|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s>~(~((e&(d>(c&k))))))
|
((s>(d|k))|e)
| 1 | 1 | 1 | 0 |
entailment
|
~(((c>t)|(k|k)))
|
((s|c)|k)
| 1 | 1 | 0 | 0 |
entailment
|
(s>~(~((e&(d>(c&k))))))
|
((s|c)|k)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((c>t)|(k|k)))
|
((s>(d|k))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(s|(t&((d>t)>k)))
|
((~((k&t))>(e&d))|((q>(e>q))>((t|t)|s)))
| 1 | 0 | 0 | 0 |
entailment
|
(e&c)
|
((((d|d)&t)|t)|(((~(q)|~(q))|c)>e))
| 1 | 0 | 0 | 0 |
entailment
|
(s|(t&((d>t)>k)))
|
((((d|d)&t)|t)|(((~(q)|~(q))|c)>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&c)
|
((~((k&t))>(e&d))|((q>(e>q))>((t|t)|s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((c&c)&(k>s))&k)&(t&(s|q)))
|
((t&c)&c)
| 1 | 1 | 1 | 1 |
entailment
|
(~(t)&(~(e)|k))
|
(((e|(c&k))&c)>((e&t)|~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
((((c&c)&(k>s))&k)&(t&(s|q)))
|
(((e|(c&k))&c)>((e&t)|~(t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(t)&(~(e)|k))
|
((t&c)&c)
| 0 | 1 | 0 | 0 |
not entailment
|
(((d>(e&k))|t)&(k&d))
|
((s>c)>(t|e))
| 1 | 1 | 0 | 0 |
entailment
|
~((((c&(s|q))|q)|(s|q)))
|
(((~((e|d))>q)&(e|(e&c)))>(s>q))
| 1 | 0 | 0 | 0 |
entailment
|
(((d>(e&k))|t)&(k&d))
|
(((~((e|d))>q)&(e|(e&c)))>(s>q))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((c&(s|q))|q)|(s|q)))
|
((s>c)>(t|e))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((c&(~(k)>c))|(e>d))|q))
|
~(((~(~((c>q)))&t)&((e|s)>d)))
| 1 | 0 | 0 | 0 |
entailment
|
(c&k)
|
(k|c)
| 1 | 1 | 1 | 1 |
entailment
|
~((((c&(~(k)>c))|(e>d))|q))
|
(k|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(c&k)
|
~(((~(~((c>q)))&t)&((e|s)>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((e|d)|(t|d))|(d|((q&c)|d))))
|
(((k|~(e))|e)&~(t))
| 1 | 1 | 0 | 0 |
entailment
|
((q&c)&e)
|
(~(((q>c)|(k|c)))|q)
| 1 | 0 | 0 | 0 |
entailment
|
~((((e|d)|(t|d))|(d|((q&c)|d))))
|
(~(((q>c)|(k|c)))|q)
| 0 | 1 | 0 | 0 |
not entailment
|
((q&c)&e)
|
(((k|~(e))|e)&~(t))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((q>c)|k)&k)|c))
|
~((k|k))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(~((e&s)))))
|
(~((s&t))|e)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((q>c)|k)&k)|c))
|
(~((s&t))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~((e&s)))))
|
~((k|k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t>k)|(e>s)))
|
((((t&~(k))>c)&~(q))>(d>e))
| 1 | 0 | 0 | 0 |
entailment
|
(~((q|(q&c)))&~(~(k)))
|
((k|c)&(~((~(c)|c))>((e>t)|~(s))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((t>k)|(e>s)))
|
((k|c)&(~((~(c)|c))>((e>t)|~(s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((q|(q&c)))&~(~(k)))
|
((((t&~(k))>c)&~(q))>(d>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(e>q))
|
((~(c)>(k|e))>(t|~(((s&k)|t))))
| 1 | 0 | 0 | 0 |
entailment
|
(q&d)
|
(~(((d|q)|~(~(c))))>(s>~(((q|d)>e))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(e>q))
|
(~(((d|q)|~(~(c))))>(s>~(((q|d)>e))))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&d)
|
((~(c)>(k|e))>(t|~(((s&k)|t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((s|(d>s))>t)>((t|e)|q)))
|
((s&((d|d)>((d&~(q))>(t&k))))>e)
| 1 | 0 | 0 | 0 |
entailment
|
(s&(~(~(d))&((q>~(q))&~((s&q)))))
|
((~(((c>t)>s))|s)|~((c&(k|k))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((s|(d>s))>t)>((t|e)|q)))
|
((~(((c>t)>s))|s)|~((c&(k|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&(~(~(d))&((q>~(q))&~((s&q)))))
|
((s&((d|d)>((d&~(q))>(t&k))))>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((t>q)|(e>d))|(k>~((k&(q|c))))))
|
((~(k)>~(~(s)))|~(d))
| 1 | 1 | 0 | 0 |
entailment
|
~((((c|~((k>e)))&(t>s))|~(d)))
|
(~((s&t))>(s|d))
| 1 | 1 | 1 | 0 |
entailment
|
~((((t>q)|(e>d))|(k>~((k&(q|c))))))
|
(~((s&t))>(s|d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((c|~((k>e)))&(t>s))|~(d)))
|
((~(k)>~(~(s)))|~(d))
| 0 | 1 | 1 | 0 |
not entailment
|
(d&k)
|
(~((c|d))|(((s|t)>s)|(q>k)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((e>((c&q)|s))>~((e&q))))
|
(~(((q&(d&d))|~(((e>d)&t))))>(d>c))
| 1 | 0 | 0 | 0 |
entailment
|
(d&k)
|
(~(((q&(d&d))|~(((e>d)&t))))>(d>c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((e>((c&q)|s))>~((e&q))))
|
(~((c|d))|(((s|t)>s)|(q>k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(n|((y|k)&n))
|
((j>y)|(n|n))
| 1 | 1 | 0 | 0 |
entailment
|
(b&j)
|
(b>(j&(~(b)>y)))
| 1 | 0 | 0 | 0 |
entailment
|
(n|((y|k)&n))
|
(b>(j&(~(b)>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&j)
|
((j>y)|(n|n))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&~(j))&(n&(((y&j)>(j>y))|(n&~(k)))))
|
(((k&y)>(k|(n&~(b))))>(n|(b>j)))
| 1 | 1 | 0 | 0 |
entailment
|
~((b>n))
|
((n>b)&(y>(b&b)))
| 1 | 0 | 0 | 0 |
entailment
|
((y&~(j))&(n&(((y&j)>(j>y))|(n&~(k)))))
|
((n>b)&(y>(b&b)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((b>n))
|
(((k&y)>(k|(n&~(b))))>(n|(b>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((((b|n)&j)|((n|b)|y)))))
|
(y>(b&(y>j)))
| 1 | 1 | 1 | 0 |
entailment
|
(j&y)
|
((k&((k&j)>b))>y)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((((b|n)&j)|((n|b)|y)))))
|
((k&((k&j)>b))>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&y)
|
(y>(b&(y>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((n>k)|b))
|
((((j>k)&(j>(b>b)))>b)|(k>~(n)))
| 1 | 0 | 0 | 0 |
entailment
|
~(j)
|
(((((y>k)&b)>k)&j)>k)
| 1 | 0 | 0 | 0 |
entailment
|
~(((n>k)|b))
|
(((((y>k)&b)>k)&j)>k)
| 0 | 0 | 0 | 0 |
not entailment
|
~(j)
|
((((j>k)&(j>(b>b)))>b)|(k>~(n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k&n)>((n>(j|(~(n)|k)))>y)))
|
((b|n)|y)
| 1 | 1 | 0 | 0 |
entailment
|
((j>b)&~((n|b)))
|
((k&(j&b))>(~((b>j))&y))
| 1 | 0 | 0 | 0 |
entailment
|
~(((k&n)>((n>(j|(~(n)|k)))>y)))
|
((k&(j&b))>(~((b>j))&y))
| 0 | 1 | 0 | 0 |
not entailment
|
((j>b)&~((n|b)))
|
((b|n)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&((j>(~(n)>k))>~((~(b)|j))))
|
((k|~(b))|~((y>k)))
| 1 | 1 | 1 | 0 |
entailment
|
(n&(b&j))
|
(j>n)
| 1 | 1 | 1 | 0 |
entailment
|
(y&((j>(~(n)>k))>~((~(b)|j))))
|
(j>n)
| 0 | 1 | 1 | 0 |
not entailment
|
(n&(b&j))
|
((k|~(b))|~((y>k)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|y)&(~(n)&k))
|
((~(((b>b)>((n|(j|n))|y)))|y)|b)
| 1 | 0 | 0 | 0 |
entailment
|
((n&j)&(n&((y|b)|k)))
|
((((b>~(~(y)))&(b&j))|j)|(k>(b>n)))
| 1 | 0 | 1 | 0 |
entailment
|
((y|y)&(~(n)&k))
|
((((b>~(~(y)))&(b&j))|j)|(k>(b>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((n&j)&(n&((y|b)|k)))
|
((~(((b>b)>((n|(j|n))|y)))|y)|b)
| 0 | 0 | 1 | 0 |
not entailment
|
(j&((b|b)&j))
|
~(~(((j&j)|(n&(n&~((y|n)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&~((n>b)))
|
(~(b)|n)
| 1 | 1 | 1 | 1 |
entailment
|
(j&((b|b)&j))
|
(~(b)|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&~((n>b)))
|
~(~(((j&j)|(n&(n&~((y|n)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((n>j)|(j>y))>~(~(j)))
|
(~((~((k|(n>k)))|(k|j)))>j)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((j|j))>k))&(y&~((j&b))))
|
((n&(k|b))>((k&y)>~(n)))
| 1 | 1 | 0 | 0 |
entailment
|
(((n>j)|(j>y))>~(~(j)))
|
((n&(k|b))>((k&y)>~(n)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~((j|j))>k))&(y&~((j&b))))
|
(~((~((k|(n>k)))|(k|j)))>j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(j)|y))
|
(((n|(n&n))|(k&(((y&b)>b)|y)))>(k|j))
| 1 | 0 | 0 | 0 |
entailment
|
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