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 |
|---|---|---|---|---|---|---|
((d|~(d))>(h&j))
|
(h|i)
| 1 | 1 | 0 | 0 |
entailment
|
~((h|((d|~(h))>((j&~(y))>y))))
|
~((~(~(y))&~((~(((d&u)>h))&(h|h)))))
| 1 | 0 | 0 | 0 |
entailment
|
((d|~(d))>(h&j))
|
~((~(~(y))&~((~(((d&u)>h))&(h|h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((h|((d|~(h))>((j&~(y))>y))))
|
(h|i)
| 0 | 1 | 0 | 0 |
not entailment
|
~((i>y))
|
((((h|(y>u))>(h&~(u)))>i)|h)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((w&d)&~(i))))
|
(i>h)
| 1 | 1 | 0 | 0 |
entailment
|
~((i>y))
|
(i>h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((w&d)&~(i))))
|
((((h|(y>u))>(h&~(u)))>i)|h)
| 0 | 0 | 0 | 0 |
not entailment
|
((h&j)|(u&d))
|
(((j|i)>j)|(u&d))
| 1 | 0 | 0 | 0 |
entailment
|
(i&((~(h)&((u|j)&j))>u))
|
((d&(~(i)|(~(d)&d)))>(y&~(u)))
| 1 | 0 | 0 | 0 |
entailment
|
((h&j)|(u&d))
|
((d&(~(i)|(~(d)&d)))>(y&~(u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&((~(h)&((u|j)&j))>u))
|
(((j|i)>j)|(u&d))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&d)
|
((i|y)|d)
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)&~((~(~(j))&(i>y))))
|
((((i>d)&d)&(d>(y|i)))>((j|w)>(w&(h>d))))
| 1 | 0 | 0 | 0 |
entailment
|
(u&d)
|
((((i>d)&d)&(d>(y|i)))>((j|w)>(w&(h>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&~((~(~(j))&(i>y))))
|
((i|y)|d)
| 0 | 1 | 1 | 0 |
not entailment
|
(u&~(d))
|
((((j>d)>(i&d))|(y>w))|~(((y>(y>u))>j)))
| 1 | 0 | 0 | 0 |
entailment
|
(i&((w>(h|(~(y)>~(w))))&(d>~(w))))
|
(u>i)
| 1 | 1 | 0 | 0 |
entailment
|
(u&~(d))
|
(u>i)
| 0 | 1 | 0 | 0 |
not entailment
|
(i&((w>(h|(~(y)>~(w))))&(d>~(w))))
|
((((j>d)>(i&d))|(y>w))|~(((y>(y>u))>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&(h&~(w)))|((i&i)&u))
|
(u|((i&(w|~(h)))>((u|(d|j))|w)))
| 1 | 0 | 0 | 0 |
entailment
|
((y>d)&((d|(w&(u|d)))>((i>u)>u)))
|
(d|~(~(~(((y&(y>y))&(((i&h)>j)>y))))))
| 1 | 0 | 0 | 0 |
entailment
|
((w&(h&~(w)))|((i&i)&u))
|
(d|~(~(~(((y&(y>y))&(((i&h)>j)>y))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((y>d)&((d|(w&(u|d)))>((i>u)>u)))
|
(u|((i&(w|~(h)))>((u|(d|j))|w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d>w)|((i|j)>((j|(h&j))|h))))
|
(((u&j)>~(u))|((i>j)>~(~(w))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(j)>(w&y))
|
(w|j)
| 1 | 1 | 1 | 1 |
entailment
|
~(((d>w)|((i|j)>((j|(h&j))|h))))
|
(w|j)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(j)>(w&y))
|
(((u&j)>~(u))|((i>j)>~(~(w))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((u>h)>~((y|(h&d))))&(y&i))
|
((~((h>(h&(j&h))))|w)>(i|~(~(h))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((u|y)|u)&(u|i))>(((d&u)>j)|j)))
|
(((j&i)>(d&u))|d)
| 1 | 1 | 1 | 0 |
entailment
|
(((u>h)>~((y|(h&d))))&(y&i))
|
(((j&i)>(d&u))|d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((u|y)|u)&(u|i))>(((d&u)>j)|j)))
|
((~((h>(h&(j&h))))|w)>(i|~(~(h))))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(u&(u&y)))
|
(~((~((u|j))&u))>y)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(w)|((d>(w&y))&w)))
|
~((((u>h)&(y&(y&h)))&w))
| 1 | 1 | 0 | 0 |
entailment
|
(d&(u&(u&y)))
|
~((((u>h)&(y&(y&h)))&w))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(w)|((d>(w&y))&w)))
|
(~((~((u|j))&u))>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(u&h)
|
((w|(d&w))|((j|u)&(u|u)))
| 1 | 0 | 0 | 0 |
entailment
|
((d&((u|h)&h))&(~(j)>(j|y)))
|
((y|d)&d)
| 1 | 1 | 1 | 1 |
entailment
|
(u&h)
|
((y|d)&d)
| 0 | 0 | 0 | 0 |
not entailment
|
((d&((u|h)&h))&(~(j)>(j|y)))
|
((w|(d&w))|((j|u)&(u|u)))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&(w&i))
|
((~((y>d))|(~((h|w))&u))|(y|i))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(w)>u)|(((h|d)>i)|u)))
|
((u&~(h))>(y&(u>h)))
| 1 | 1 | 0 | 0 |
entailment
|
(u&(w&i))
|
((u&~(h))>(y&(u>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(w)>u)|(((h|d)>i)|u)))
|
((~((y>d))|(~((h|w))&u))|(y|i))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&y)&(w|~((w>(j|i)))))
|
(~(((h&(~(y)&~(u)))>h))|(w|(u>y)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((d&~(j))))
|
(~(~(d))|~(((y|d)&~(j))))
| 1 | 0 | 0 | 0 |
entailment
|
((u&y)&(w|~((w>(j|i)))))
|
(~(~(d))|~(((y|d)&~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((d&~(j))))
|
(~(((h&(~(y)&~(u)))>h))|(w|(u>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(((h|j)|~(((j|(u&w))&y))))))&y)
|
((j|(u>j))>((i|d)&((u|h)|y)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(j)&w)>(y&i))|((~(w)>j)>y)))
|
((w>y)>j)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~(((h|j)|~(((j|(u&w))&y))))))&y)
|
((w>y)>j)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((~(j)&w)>(y&i))|((~(w)>j)>y)))
|
((j|(u>j))>((i|d)&((u|h)|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y>u)&(h&~(h)))|i)
|
((u>((i&~(y))&y))|(~((i|w))>(j|(h>d))))
| 1 | 0 | 0 | 0 |
entailment
|
((i|h)&~(i))
|
(w|h)
| 1 | 1 | 0 | 0 |
entailment
|
(((y>u)&(h&~(h)))|i)
|
(w|h)
| 0 | 1 | 0 | 0 |
not entailment
|
((i|h)&~(i))
|
((u>((i&~(y))&y))|(~((i|w))>(j|(h>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&i)
|
((i|i)&(((((h>h)|n)|e)&e)|i))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(h)>e)|((h&y)&n))>n)
|
((~((~(e)|y))&y)|(h>(n|y)))
| 1 | 0 | 1 | 0 |
entailment
|
(e&i)
|
((~((~(e)|y))&y)|(h>(n|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(h)>e)|((h&y)&n))>n)
|
((i|i)&(((((h>h)|n)|e)&e)|i))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((i&(~((e>(e|y)))|h))>(y|e)))
|
((i|~(y))|n)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((i&i)&(n>~(n))))))
|
((~((i>n))&h)>y)
| 1 | 1 | 0 | 0 |
entailment
|
~(((i&(~((e>(e|y)))|h))>(y|e)))
|
((~((i>n))&h)>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((i&i)&(n>~(n))))))
|
((i|~(y))|n)
| 0 | 1 | 0 | 0 |
not entailment
|
((y>h)&i)
|
(y>((i|e)&h))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((i|i)&y)&i)))
|
(h|((n&(((e>h)>i)>(e|y)))>y))
| 1 | 0 | 0 | 0 |
entailment
|
((y>h)&i)
|
(h|((n&(((e>h)>i)>(e|y)))>y))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((i|i)&y)&i)))
|
(y>((i|e)&h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(y))
|
((y|h)&(h>h))
| 1 | 0 | 0 | 0 |
entailment
|
(i|(e&i))
|
(e|i)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(y))
|
(e|i)
| 0 | 1 | 0 | 0 |
not entailment
|
(i|(e&i))
|
((y|h)&(h>h))
| 0 | 0 | 0 | 0 |
not entailment
|
((e|n)&(h&e))
|
(((e|h)|e)|(y&h))
| 1 | 0 | 0 | 0 |
entailment
|
(i&n)
|
((n|n)>i)
| 1 | 0 | 1 | 0 |
entailment
|
((e|n)&(h&e))
|
((n|n)>i)
| 0 | 1 | 0 | 0 |
not entailment
|
(i&n)
|
(((e|h)|e)|(y&h))
| 0 | 0 | 0 | 0 |
not entailment
|
((n>n)&(e&(h&i)))
|
((~((n>(i>i)))>n)>((~(n)|i)&h))
| 1 | 0 | 1 | 0 |
entailment
|
((i>(y>e))>~(((h>n)|(((h>e)|h)>h))))
|
((e>y)|(y|y))
| 1 | 1 | 1 | 1 |
entailment
|
((n>n)&(e&(h&i)))
|
((e>y)|(y|y))
| 0 | 1 | 0 | 0 |
not entailment
|
((i>(y>e))>~(((h>n)|(((h>e)|h)>h))))
|
((~((n>(i>i)))>n)>((~(n)|i)&h))
| 0 | 1 | 1 | 0 |
not entailment
|
(((h>(i>(h|i)))>i)|(y|y))
|
(y|(n|i))
| 1 | 1 | 0 | 0 |
entailment
|
~((((y&y)|((e|e)>i))|((e|h)&n)))
|
((~(n)&(i>e))>~(~(e)))
| 1 | 1 | 1 | 0 |
entailment
|
(((h>(i>(h|i)))>i)|(y|y))
|
((~(n)&(i>e))>~(~(e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((y&y)|((e|e)>i))|((e|h)&n)))
|
(y|(n|i))
| 0 | 1 | 1 | 0 |
not entailment
|
(((i|y)&~((h>e)))&~((y|n)))
|
((y>i)&((n|~(i))|~(((e>n)&e))))
| 1 | 0 | 1 | 0 |
entailment
|
(h&e)
|
((n|i)>(((h&h)|(i|i))>e))
| 1 | 0 | 0 | 0 |
entailment
|
(((i|y)&~((h>e)))&~((y|n)))
|
((n|i)>(((h&h)|(i|i))>e))
| 0 | 1 | 1 | 0 |
not entailment
|
(h&e)
|
((y>i)&((n|~(i))|~(((e>n)&e))))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&(n>i))
|
((e|~((h&y)))|~(~((i&n))))
| 1 | 0 | 0 | 0 |
entailment
|
(((n&n)&e)|~(i))
|
~((h&((((n>i)|e)>~((y>(n&y))))&i)))
| 1 | 0 | 0 | 0 |
entailment
|
(e&(n>i))
|
~((h&((((n>i)|e)>~((y>(n&y))))&i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((n&n)&e)|~(i))
|
((e|~((h&y)))|~(~((i&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
((y>(y>e))&n)
|
((y|(n|(~(i)>(e|(i|n)))))|n)
| 1 | 0 | 0 | 0 |
entailment
|
((h&h)|~((e>e)))
|
(((n>(n&n))>(n|(e|((e|n)|y))))>(i|h))
| 1 | 0 | 0 | 0 |
entailment
|
((y>(y>e))&n)
|
(((n>(n&n))>(n|(e|((e|n)|y))))>(i|h))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&h)|~((e>e)))
|
((y|(n|(~(i)>(e|(i|n)))))|n)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((e&(h|y)))&(n&h))
|
(((h>e)&~(((h>e)|h)))|(n|h))
| 1 | 0 | 1 | 0 |
entailment
|
(e&((n|(n&e))>~(e)))
|
((~(~((i|e)))|e)&(i>e))
| 1 | 0 | 0 | 0 |
entailment
|
(~((e&(h|y)))&(n&h))
|
((~(~((i|e)))|e)&(i>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&((n|(n&e))>~(e)))
|
(((h>e)&~(((h>e)|h)))|(n|h))
| 0 | 0 | 0 | 0 |
not entailment
|
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