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 |
---|---|---|---|---|---|---|
(((b>g)>(k>~((k>k))))>(k&g))
|
~(((~(((b>k)>b))&(g|~(k)))&(g&(n>b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(g)&(b>n))
|
((((k&k)&g)|n)>((k>(n&(b&b)))>k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(k)>((n>n)&~(g))))
|
(~(~(((n>g)|~((k|n)))))>g)
| 1 | 0 | 1 | 0 |
entailment
|
(((g|k)>n)&(~(n)&(n>((g>k)>(g|n)))))
|
(((n|k)>(g>b))&~(~((~((n>k))>n))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(k)>((n>n)&~(g))))
|
(((n|k)>(g>b))&~(~((~((n>k))>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((g|k)>n)&(~(n)&(n>((g>k)>(g|n)))))
|
(~(~(((n>g)|~((k|n)))))>g)
| 0 | 1 | 1 | 0 |
not entailment
|
(g>((k&b)&((~((b|n))|k)|k)))
|
(~((k>(n>b)))>~(((n|k)>g)))
| 1 | 1 | 1 | 0 |
entailment
|
(g&((b>~((~(k)|~(g))))|(n&n)))
|
(((~(b)|(b>~(g)))&((k>n)|k))>(g|b))
| 1 | 0 | 1 | 0 |
entailment
|
(g>((k&b)&((~((b|n))|k)|k)))
|
(((~(b)|(b>~(g)))&((k>n)|k))>(g|b))
| 0 | 0 | 1 | 0 |
not entailment
|
(g&((b>~((~(k)|~(g))))|(n&n)))
|
(~((k>(n>b)))>~(((n|k)>g)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(k)&((g>n)|n))
|
~(~((~((k&((b|b)&n)))|(g&g))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(~((b&k)))|(k&n))|k)&n)
|
(((n|b)>((k|n)|k))|(n&k))
| 1 | 1 | 1 | 0 |
entailment
|
(~(k)&((g>n)|n))
|
(((n|b)>((k|n)|k))|(n&k))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(~((b&k)))|(k&n))|k)&n)
|
~(~((~((k&((b|b)&n)))|(g&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
((b&k)&((b&n)&g))
|
(g&k)
| 1 | 1 | 1 | 1 |
entailment
|
((((k>k)&~(g))&(g|~(n)))&k)
|
((k|k)>(g>~(g)))
| 1 | 1 | 1 | 1 |
entailment
|
((b&k)&((b&n)&g))
|
((k|k)>(g>~(g)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((k>k)&~(g))&(g|~(n)))&k)
|
(g&k)
| 0 | 1 | 1 | 1 |
not entailment
|
~(g)
|
(b>(g>(n&b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(b)>(n|g))>~((g|n))))
|
(n|g)
| 1 | 1 | 1 | 1 |
entailment
|
~(g)
|
(n|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(b)>(n|g))>~((g|n))))
|
(b>(g>(n&b)))
| 0 | 1 | 1 | 0 |
not entailment
|
(b&k)
|
((((g>(n&n))|~((g>k)))&(b&g))|k)
| 1 | 0 | 0 | 0 |
entailment
|
(g|g)
|
((b>n)|g)
| 1 | 0 | 0 | 0 |
entailment
|
(b&k)
|
((b>n)|g)
| 0 | 0 | 0 | 0 |
not entailment
|
(g|g)
|
((((g>(n&n))|~((g>k)))&(b&g))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g|k)&g))
|
(g>k)
| 1 | 1 | 1 | 0 |
entailment
|
(b|~((((k&(k>b))>(k&((k>k)>b)))|(b|k))))
|
(b|b)
| 1 | 1 | 1 | 1 |
entailment
|
~(((g|k)&g))
|
(b|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(b|~((((k&(k>b))>(k&((k>k)>b)))|(b|k))))
|
(g>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((((u>(~((w&j))&u))&j)&h)))
|
(k>(h>j))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(~(((i|k)&~((w|(i&(h|u)))))))))
|
(i>(~(u)|~((h&j))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((((u>(~((w&j))&u))&j)&h)))
|
(i>(~(u)|~((h&j))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~(((i|k)&~((w|(i&(h|u)))))))))
|
(k>(h>j))
| 0 | 1 | 0 | 0 |
not entailment
|
(((w|u)|k)&((j&k)&(k>(h|h))))
|
(~(k)>~(~(((i|j)|~(u)))))
| 1 | 1 | 0 | 0 |
entailment
|
(j>((u|(j>w))&j))
|
(~(((i>(i|i))&((j>u)|u)))>(~(i)|w))
| 1 | 0 | 0 | 0 |
entailment
|
(((w|u)|k)&((j&k)&(k>(h|h))))
|
(~(((i>(i|i))&((j>u)|u)))>(~(i)|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(j>((u|(j>w))&j))
|
(~(k)>~(~(((i|j)|~(u)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((w|i))|~(~((j>~((u|j)))))))
|
(~(i)>((h&u)|((j|i)|j)))
| 1 | 1 | 0 | 0 |
entailment
|
(w&(u|u))
|
((w|(k>(k&i)))&(((u>j)|(u>~(u)))>w))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((w|i))|~(~((j>~((u|j)))))))
|
((w|(k>(k&i)))&(((u>j)|(u>~(u)))>w))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&(u|u))
|
(~(i)>((h&u)|((j|i)|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(h)&(j&~(i)))
|
((w|(h>(i|i)))>((i|u)>(k>(~(u)>j))))
| 1 | 0 | 0 | 0 |
entailment
|
~(j)
|
~((~(h)&((w&j)&~((w>u)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(h)&(j&~(i)))
|
~((~(h)&((w&j)&~((w>u)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(j)
|
((w|(h>(i|i)))>((i|u)>(k>(~(u)>j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&(((u|~(h))&(h>w))>((j|j)&h)))
|
(h&(j&((k|h)|w)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((h>(i|j))>k)|~(i)))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
(j&(((u|~(h))&(h>w))>((j|j)&h)))
|
~(k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((h>(i|j))>k)|~(i)))
|
(h&(j&((k|h)|w)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(w))&((i>j)>i))&~(j))
|
(w|~(~((k>(i&j)))))
| 1 | 1 | 0 | 0 |
entailment
|
((u|k)&j)
|
~(~((w>j)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(w))&((i>j)>i))&~(j))
|
~(~((w>j)))
| 0 | 1 | 1 | 0 |
not entailment
|
((u|k)&j)
|
(w|~(~((k>(i&j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j&(h|w))>((j>h)|(~(i)&j))))
|
(((i>((w&k)|w))&i)|~(~((j|(h>(j&k))))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(~(k)>~(((~(k)&w)>(w>k)))))
|
(k|(u|(h|u)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((j&(h|w))>((j>h)|(~(i)&j))))
|
(k|(u|(h|u)))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(~(k)>~(((~(k)&w)>(w>k)))))
|
(((i>((w&k)|w))&i)|~(~((j|(h>(j&k))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h|~(((h|k)>w)))&~(w))&j)
|
((i>((w&(u&k))|((h>u)&~(i))))>~(~(j)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((((i>u)|i)>w)))>(h|(w&k))))
|
(~(h)&(w|k))
| 1 | 1 | 1 | 0 |
entailment
|
(((h|~(((h|k)>w)))&~(w))&j)
|
(~(h)&(w|k))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(~((((i>u)|i)>w)))>(h|(w&k))))
|
((i>((w&(u&k))|((h>u)&~(i))))>~(~(j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&((j|j)&u))
|
((h>i)>(j&h))
| 1 | 1 | 0 | 0 |
entailment
|
(w&(((j|k)&k)&(u|((i>w)>k))))
|
((u>k)|(~((~(u)>w))&(w|(i>k))))
| 1 | 0 | 1 | 0 |
entailment
|
(h&((j|j)&u))
|
((u>k)|(~((~(u)>w))&(w|(i>k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&(((j|k)&k)&(u|((i>w)>k))))
|
((h>i)>(j&h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((~((k&k))>(j|i))>(i|~(u))))))
|
(w|(j|u))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(i))&(~(~(~((w|u))))&(k|j)))
|
((((u&k)|((k>(h|w))&(~(u)&u)))>(w|j))|j)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((~((k&k))>(j|i))>(i|~(u))))))
|
((((u&k)|((k>(h|w))&(~(u)&u)))>(w|j))|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(i))&(~(~(~((w|u))))&(k|j)))
|
(w|(j|u))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((((j|w)>h)&j)&~(w))))
|
(u|~((((w&j)&h)&(w>h))))
| 1 | 1 | 0 | 0 |
entailment
|
~((k|~(((~(i)|w)&(j>(j|h))))))
|
~((k&((k>j)|k)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((((j|w)>h)&j)&~(w))))
|
~((k&((k>j)|k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((k|~(((~(i)|w)&(j>(j|h))))))
|
(u|~((((w&j)&h)&(w>h))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(h))&(u&j))
|
(w>j)
| 1 | 1 | 0 | 0 |
entailment
|
((h|~(~(w)))>~(i))
|
(~(~((i>(h>~((h&k))))))&(u>u))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(h))&(u&j))
|
(~(~((i>(h>~((h&k))))))&(u>u))
| 0 | 0 | 0 | 0 |
not entailment
|
((h|~(~(w)))>~(i))
|
(w>j)
| 0 | 1 | 0 | 0 |
not entailment
|
((w>u)&j)
|
(~(((j&i)|h))|(j|i))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(u))&w)
|
(w|(u&(~(i)&(u>h))))
| 1 | 0 | 0 | 0 |
entailment
|
((w>u)&j)
|
(w|(u&(~(i)&(u>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(u))&w)
|
(~(((j&i)|h))|(j|i))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(((h|h)>u))|j)&u)>(w&u)))
|
(h|(((((u&h)|u)|(k|j))|~(j))>~(w)))
| 1 | 0 | 0 | 0 |
entailment
|
(((w>~(~(j)))&(i&j))&(i&((h>w)|j)))
|
((u>u)>i)
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(((h|h)>u))|j)&u)>(w&u)))
|
((u>u)>i)
| 0 | 1 | 0 | 0 |
not entailment
|
(((w>~(~(j)))&(i&j))&(i&((h>w)|j)))
|
(h|(((((u&h)|u)|(k|j))|~(j))>~(w)))
| 0 | 1 | 0 | 0 |
not entailment
|
((i&j)&(u&(k|(k|u))))
|
((k>((w>u)>j))&(i|j))
| 1 | 1 | 0 | 0 |
entailment
|
~(((k&(w>w))|k))
|
((k>w)|(((w&w)&w)&(w|w)))
| 1 | 0 | 1 | 1 |
entailment
|
((i&j)&(u&(k|(k|u))))
|
((k>w)|(((w&w)&w)&(w|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k&(w>w))|k))
|
((k>((w>u)>j))&(i|j))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&(h>((((k&~(h))|w)|h)|(u|k))))
|
((~(w)>(u&~((k>h))))>(k>((w>j)|j)))
| 1 | 0 | 1 | 0 |
entailment
|
(k&w)
|
(~(((w&w)|h))>~(((j>i)|h)))
| 1 | 0 | 0 | 0 |
entailment
|
(j&(h>((((k&~(h))|w)|h)|(u|k))))
|
(~(((w&w)|h))>~(((j>i)|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&w)
|
((~(w)>(u&~((k>h))))>(k>((w>j)|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((h>h)>~(((i|~(((i&~(j))|u)))&(u|h))))
|
~((k&(i&u)))
| 1 | 1 | 0 | 0 |
entailment
|
(u&((~(h)&((j|(j|u))>(j|u)))&(k&i)))
|
(i&~((j&h)))
| 1 | 1 | 1 | 1 |
entailment
|
((h>h)>~(((i|~(((i&~(j))|u)))&(u|h))))
|
(i&~((j&h)))
| 0 | 1 | 1 | 1 |
not entailment
|
(u&((~(h)&((j|(j|u))>(j|u)))&(k&i)))
|
~((k&(i&u)))
| 0 | 1 | 1 | 0 |
not entailment
|
(i&(w|~(i)))
|
~(~(i))
| 1 | 1 | 1 | 1 |
entailment
|
((~(~(k))>w)&u)
|
((h>(i&(~((k>(j>j)))&j)))|((w|h)>u))
| 1 | 0 | 0 | 0 |
entailment
|
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