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 |
---|---|---|---|---|---|---|
((s>c)&((i&k)&a))
|
~(~((((((r|w)>c)>c)|(i|r))>(c|~(k)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&k)
|
((i|i)&(w>k))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c>s)&k)&((k|(w|r))>a))
|
((s&r)>(a&k))
| 1 | 1 | 1 | 0 |
entailment
|
~(k)
|
(((k&k)&(r|i))>w)
| 1 | 0 | 0 | 0 |
entailment
|
(((c>s)&k)&((k|(w|r))>a))
|
(((k&k)&(r|i))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
~(k)
|
((s&r)>(a&k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((w>(~(k)|((a|c)|~(i)))))
|
~(~((((s|~((c|s)))|(r|r))|s)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((i|i)&(i>c)))>k)&a)
|
(a|r)
| 1 | 1 | 0 | 0 |
entailment
|
~((w>(~(k)|((a|c)|~(i)))))
|
(a|r)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((i|i)&(i>c)))>k)&a)
|
~(~((((s|~((c|s)))|(r|r))|s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((s&r)|w)|((i>w)|i)))|(c&w))
|
((~(~(k))|c)|(s|(i&(a|w))))
| 1 | 1 | 0 | 0 |
entailment
|
~(w)
|
~(((w|a)&(a>w)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((s&r)|w)|((i>w)|i)))|(c&w))
|
~(((w|a)&(a>w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(w)
|
((~(~(k))|c)|(s|(i&(a|w))))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&((k>~(~(a)))>(k|c)))
|
((r|k)|(i|r))
| 1 | 1 | 0 | 0 |
entailment
|
(((c|a)&(r>a))>~(((i&(s|k))>a)))
|
~((~((i|~(i)))|a))
| 1 | 1 | 1 | 0 |
entailment
|
(r&((k>~(~(a)))>(k|c)))
|
~((~((i|~(i)))|a))
| 0 | 1 | 0 | 0 |
not entailment
|
(((c|a)&(r>a))>~(((i&(s|k))>a)))
|
((r|k)|(i|r))
| 0 | 1 | 1 | 1 |
not entailment
|
(s&(s|s))
|
((k>~(((~(a)>a)&~((a&(i&k))))))|(i|s))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(~((c>a)))>a)&(c&c))&a)
|
(((a>i)&c)|(((a|w)|r)>(a|w)))
| 1 | 1 | 0 | 0 |
entailment
|
(s&(s|s))
|
(((a>i)&c)|(((a|w)|r)>(a|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(~((c>a)))>a)&(c&c))&a)
|
((k>~(((~(a)>a)&~((a&(i&k))))))|(i|s))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a|((i|k)>a))&w)&((i&(k&r))&i))
|
((r|(k&w))|(((c|~((k|c)))|k)&~(a)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((~(w)>(c|k))))|w))
|
~(((~(k)>(~(((i&r)&(c|k)))&c))|k))
| 1 | 0 | 0 | 0 |
entailment
|
(((a|((i|k)>a))&w)&((i&(k&r))&i))
|
~(((~(k)>(~(((i&r)&(c|k)))&c))|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((~(w)>(c|k))))|w))
|
((r|(k&w))|(((c|~((k|c)))|k)&~(a)))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&a)&~(r))
|
((~(~((r|((w>s)&i))))|c)|~(((w|k)>c)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((s>i))))
|
(~(~((a|(r|w))))>(s|i))
| 1 | 0 | 0 | 0 |
entailment
|
((w&a)&~(r))
|
(~(~((a|(r|w))))>(s|i))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((s>i))))
|
((~(~((r|((w>s)&i))))|c)|~(((w|k)>c)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&(c&c))>(i|i)))
|
(~(~((r&(((a&c)>(s>i))&~(k)))))>(c&r))
| 1 | 0 | 0 | 0 |
entailment
|
((~((w|w))&r)&((c>r)|i))
|
~((((a|i)|a)&~(~(w))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((r&(c&c))>(i|i)))
|
~((((a|i)|a)&~(~(w))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((w|w))&r)&((c>r)|i))
|
(~(~((r&(((a&c)>(s>i))&~(k)))))>(c&r))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&r)
|
(w>r)
| 1 | 1 | 0 | 0 |
entailment
|
(((c&w)&w)&~((a|a)))
|
~((((k&s)>s)>(a&w)))
| 1 | 1 | 0 | 0 |
entailment
|
(k&r)
|
~((((k&s)>s)>(a&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c&w)&w)&~((a|a)))
|
(w>r)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((~(a)&~(s))>i))&(w|w))
|
(w|((s&r)|~((i&(((a&s)>i)|w)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((a&c)|k)|(((c>(i|s))>((r|s)|k))|w)))
|
(k>~(((~(a)&r)>s)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(((~(a)&~(s))>i))&(w|w))
|
(k>~(((~(a)&r)>s)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((a&c)|k)|(((c>(i|s))>((r|s)|k))|w)))
|
(w|((s&r)|~((i&(((a&s)>i)|w)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((r>((c>c)>w)))
|
(((a&a)&r)|~((w&s)))
| 1 | 0 | 0 | 0 |
entailment
|
(a|a)
|
((i>c)>a)
| 1 | 0 | 0 | 0 |
entailment
|
~((r>((c>c)>w)))
|
((i>c)>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(a|a)
|
(((a&a)&r)|~((w&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k>r)&(~(~(s))&(i>(k|a))))
|
(((w>(s>(s>a)))&(c&a))>(k>r))
| 1 | 1 | 0 | 0 |
entailment
|
(s>~((c>c)))
|
~((s|s))
| 1 | 1 | 1 | 1 |
entailment
|
((k>r)&(~(~(s))&(i>(k|a))))
|
~((s|s))
| 0 | 1 | 1 | 0 |
not entailment
|
(s>~((c>c)))
|
(((w>(s>(s>a)))&(c&a))>(k>r))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((((c|c)>k)>k)&r)&s)))
|
~(~(~((r&((a&a)&(s>~(s)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((s|a)>(s&w)))&((i|a)&(c&w)))
|
~((~(~(((k|r)|w)))&~(a)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((((((c|c)>k)>k)&r)&s)))
|
~((~(~(((k|r)|w)))&~(a)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((s|a)>(s&w)))&((i|a)&(c&w)))
|
~(~(~((r&((a&a)&(s>~(s)))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>((~(t)&h)&j)))
|
(~(j)>((((t&h)&t)&(h>e))|e))
| 1 | 0 | 1 | 0 |
entailment
|
~((~((h&h))|(~(t)>j)))
|
((h|(h>j))&(j|(h|j)))
| 1 | 1 | 1 | 0 |
entailment
|
~((e>((~(t)&h)&j)))
|
((h|(h>j))&(j|(h|j)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((h&h))|(~(t)>j)))
|
(~(j)>((((t&h)&t)&(h>e))|e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h>(h>(t|(t&h))))>((j&(j&e))|(t|t))))
|
((h&h)>(((e|~(t))>(t>(j|h)))>e))
| 1 | 1 | 1 | 0 |
entailment
|
~((t>((e>t)>(~(t)&~((t>e))))))
|
((e|(((j&e)|h)|((h&t)|(e|j))))|((t|j)|j))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h>(h>(t|(t&h))))>((j&(j&e))|(t|t))))
|
((e|(((j&e)|h)|((h&t)|(e|j))))|((t|j)|j))
| 0 | 1 | 1 | 0 |
not entailment
|
~((t>((e>t)>(~(t)&~((t>e))))))
|
((h&h)>(((e|~(t))>(t>(j|h)))>e))
| 0 | 1 | 0 | 0 |
not entailment
|
~((t|((t>e)>(e&t))))
|
(h>(~(((h&t)|j))|(t>~((t&t)))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&j)
|
(((~(e)>t)>h)&(e|h))
| 1 | 0 | 0 | 0 |
entailment
|
~((t|((t>e)>(e&t))))
|
(((~(e)>t)>h)&(e|h))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&j)
|
(h>(~(((h&t)|j))|(t>~((t&t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((t|e)>(t|j)))>(j&((j>t)>(j&j)))))
|
((h|e)|(~(((((e&j)&(h|j))|j)|j))>e))
| 1 | 1 | 0 | 0 |
entailment
|
((j|t)&~((~((e&j))>h)))
|
~((h&e))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((t|e)>(t|j)))>(j&((j>t)>(j&j)))))
|
~((h&e))
| 0 | 1 | 0 | 0 |
not entailment
|
((j|t)&~((~((e&j))>h)))
|
((h|e)|(~(((((e&j)&(h|j))|j)|j))>e))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((e&(~(t)>j))>(j&(((j>j)>(h&h))>j))))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
(((h>h)&(j&h))&(t&j))
|
((t|e)&(~(t)|h))
| 1 | 1 | 0 | 0 |
entailment
|
~(((e&(~(t)>j))>(j&(((j>j)>(h&h))>j))))
|
((t|e)&(~(t)|h))
| 0 | 1 | 1 | 0 |
not entailment
|
(((h>h)&(j&h))&(t&j))
|
~(j)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((h&t))>j)
|
(e|~((((e|(~(j)>e))|h)>(e&j))))
| 1 | 0 | 0 | 0 |
entailment
|
((j|j)>(~(t)&(e&(e&j))))
|
(((~(j)|e)|((e&h)|h))|((h|~(t))&j))
| 1 | 0 | 0 | 0 |
entailment
|
(~((h&t))>j)
|
(((~(j)|e)|((e&h)|h))|((h|~(t))&j))
| 0 | 0 | 0 | 0 |
not entailment
|
((j|j)>(~(t)&(e&(e&j))))
|
(e|~((((e|(~(j)>e))|h)>(e&j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&j)
|
((h|(h&t))|(~(((h|e)>j))>~(((e>j)>j))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((h>(~(j)&j))))&((h|e)&t))
|
~(~(e))
| 1 | 1 | 1 | 1 |
entailment
|
(h&j)
|
~(~(e))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((h>(~(j)&j))))&((h|e)&t))
|
((h|(h&t))|(~(((h|e)>j))>~(((e>j)>j))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((h&j)>((t>h)&~(e))))
|
(t|j)
| 1 | 1 | 1 | 1 |
entailment
|
~((e|((h&h)&j)))
|
~(((e|(h>h))&(e&(j&(t>h)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h&j)>((t>h)&~(e))))
|
~(((e|(h>h))&(e&(j&(t>h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((e|((h&h)&j)))
|
(t|j)
| 0 | 1 | 0 | 0 |
not entailment
|
((t|~(e))&(e&((e|e)>t)))
|
(((h|~((t|j)))>(h&((h|e)&t)))&(j>(j|h)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j|(h>t))|(((j>e)&(h&t))|(h>e))))
|
((t|((t&~(t))&t))>(h&h))
| 1 | 1 | 1 | 0 |
entailment
|
((t|~(e))&(e&((e|e)>t)))
|
((t|((t&~(t))&t))>(h&h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((j|(h>t))|(((j>e)&(h&t))|(h>e))))
|
(((h|~((t|j)))>(h&((h|e)&t)))&(j>(j|h)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((h|~((e|j))))
|
~(((~(h)|h)>~((~((h&e))>~(h)))))
| 1 | 0 | 1 | 0 |
entailment
|
~(j)
|
((t|(j|t))>~(j))
| 1 | 0 | 0 | 0 |
entailment
|
~((h|~((e|j))))
|
((t|(j|t))>~(j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(j)
|
~(((~(h)|h)>~((~((h&e))>~(h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((e|(t|e))>((e&(~(t)|h))>j)))
|
(e|~(h))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~((h|e))>(e&(j>(h|e))))>e))
|
((t>h)&h)
| 1 | 1 | 0 | 0 |
entailment
|
~(((e|(t|e))>((e&(~(t)|h))>j)))
|
((t>h)&h)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((~((h|e))>(e&(j>(h|e))))>e))
|
(e|~(h))
| 0 | 1 | 1 | 0 |
not entailment
|
((j&(j&h))&(~(h)|((j>t)|(e|h))))
|
((((j|t)&(h|j))|e)&(h|t))
| 1 | 1 | 1 | 1 |
entailment
|
((j>(~(t)|e))&((e>~(j))&t))
|
((~((e|e))>(h|~(((j&t)|t))))>~(~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
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