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&(k&s))&(((a&u)|(n&(u&n)))>h))
|
(a>((a>d)>h))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((d|o)|~((~((g>s))|d)))|d))
|
~(((d&m)&h))
| 1 | 1 | 0 | 0 |
entailment
|
(k&((h|(k>h))|((m&a)|n)))
|
(k&k)
| 1 | 1 | 1 | 1 |
entailment
|
~((((d|o)|~((~((g>s))|d)))|d))
|
(k&k)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&((h|(k>h))|((m&a)|n)))
|
~(((d&m)&h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(m)&(g|~(h)))
|
(m>n)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((o&(m>(s>g)))&((u&u)|h)))>(g&d))
|
((~(g)>(d|(s|(u|h))))|n)
| 1 | 1 | 0 | 0 |
entailment
|
(~(m)&(g|~(h)))
|
((~(g)>(d|(s|(u|h))))|n)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((o&(m>(s>g)))&((u&u)|h)))>(g&d))
|
(m>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(m&s)
|
~(~(((m>s)|((h|d)&(~(u)|(u>s))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((k|o)>n)|(u>g)))
|
((u|~(n))|~(((h&n)>((h&k)|m))))
| 1 | 0 | 0 | 0 |
entailment
|
(m&s)
|
((u|~(n))|~(((h&n)>((h&k)|m))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((k|o)>n)|(u>g)))
|
~(~(((m>s)|((h|d)&(~(u)|(u>s))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&d)
|
((k|n)|d)
| 1 | 0 | 0 | 0 |
entailment
|
~(((d|(h&~((s|~(h)))))|g))
|
((s>~(g))&(((d>k)>s)>s))
| 1 | 1 | 0 | 0 |
entailment
|
(g&d)
|
((s>~(g))&(((d>k)>s)>s))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((d|(h&~((s|~(h)))))|g))
|
((k|n)|d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>~((o|s))))
|
(d&(d|o))
| 1 | 1 | 1 | 1 |
entailment
|
~((d|(~((n&n))&h)))
|
((d&k)>(s|s))
| 1 | 1 | 0 | 0 |
entailment
|
~((d>~((o|s))))
|
((d&k)>(s|s))
| 0 | 1 | 0 | 0 |
not entailment
|
~((d|(~((n&n))&h)))
|
(d&(d|o))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(n))
|
~(~(n))
| 1 | 1 | 1 | 1 |
entailment
|
(~(s)&o)
|
(~(~((u>d)))>((~(d)|(d&u))|o))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(n))
|
(~(~((u>d)))>((~(d)|(d&u))|o))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(s)&o)
|
~(~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~((w>(l|n))))|(h>w))>(h&(h>l)))
|
((~(l)|(h&n))>n)
| 1 | 1 | 1 | 0 |
entailment
|
~((((w|l)>(h>h))>h))
|
((((w>n)|l)&(l&(h|w)))>(~(h)|(n|w)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~((w>(l|n))))|(h>w))>(h&(h>l)))
|
((((w>n)|l)&(l&(h|w)))>(~(h)|(n|w)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((w|l)>(h>h))>h))
|
((~(l)|(h&n))>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(n|n)
|
(((h&h)&~((l>l)))|((~((n|w))>n)>(l>n)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((h&n))&~((l>((l>l)>((l|l)>h)))))
|
(((w|h)>w)|w)
| 1 | 1 | 0 | 0 |
entailment
|
(n|n)
|
(((w|h)>w)|w)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((h&n))&~((l>((l>l)>((l|l)>h)))))
|
(((h&h)&~((l>l)))|((~((n|w))>n)>(l>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(n|n)
|
(~((~(~((n|h)))>~(n)))&n)
| 1 | 0 | 0 | 0 |
entailment
|
((w>l)&w)
|
~(~((~((h&((w|(l>(l&n)))>n)))|l)))
| 1 | 0 | 0 | 0 |
entailment
|
(n|n)
|
~(~((~((h&((w|(l>(l&n)))>n)))|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((w>l)&w)
|
(~((~(~((n|h)))>~(n)))&n)
| 0 | 0 | 0 | 0 |
not entailment
|
(w&(((((h&l)&n)>l)>l)|w))
|
(n|w)
| 1 | 1 | 1 | 1 |
entailment
|
(~((h>w))&((l>(w&n))>w))
|
((h&l)|~(((h|~(w))>((w>h)>(l&(n|h))))))
| 1 | 0 | 1 | 0 |
entailment
|
(w&(((((h&l)&n)>l)>l)|w))
|
((h&l)|~(((h|~(w))>((w>h)>(l&(n|h))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((h>w))&((l>(w&n))>w))
|
(n|w)
| 0 | 1 | 1 | 0 |
not entailment
|
(n&(w>l))
|
(n|h)
| 1 | 1 | 0 | 0 |
entailment
|
((l>h)|h)
|
(l>h)
| 1 | 1 | 1 | 1 |
entailment
|
(n&(w>l))
|
(l>h)
| 0 | 1 | 0 | 0 |
not entailment
|
((l>h)|h)
|
(n|h)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(n)|(w&l))&h)
|
(n|h)
| 1 | 1 | 1 | 0 |
entailment
|
((~(((~(h)|n)>h))&~(~(n)))|l)
|
(((h>(h>(h&l)))|n)|((l>l)&(~(l)&n)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(n)|(w&l))&h)
|
(((h>(h>(h&l)))|n)|((l>l)&(~(l)&n)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(((~(h)|n)>h))&~(~(n)))|l)
|
(n|h)
| 0 | 1 | 1 | 0 |
not entailment
|
(n&w)
|
(~((~(n)>(n|n)))>(((n&l)&h)&(l>l)))
| 1 | 0 | 0 | 0 |
entailment
|
(h&~((h&(l|~(w)))))
|
(w&h)
| 1 | 1 | 1 | 1 |
entailment
|
(n&w)
|
(w&h)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&~((h&(l|~(w)))))
|
(~((~(n)>(n|n)))>(((n&l)&h)&(l>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(n>(h>l))
|
((n&(n&n))>(((h|(w>n))>h)>((n>n)>l)))
| 1 | 0 | 0 | 0 |
entailment
|
((n|n)|w)
|
(n|(((n>(n&(h>w)))>(h>l))|w))
| 1 | 0 | 0 | 0 |
entailment
|
(n>(h>l))
|
(n|(((n>(n&(h>w)))>(h>l))|w))
| 0 | 0 | 0 | 0 |
not entailment
|
((n|n)|w)
|
((n&(n&n))>(((h|(w>n))>h)>((n>n)>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&((h&(n&l))&n))
|
(h|n)
| 1 | 1 | 1 | 1 |
entailment
|
~(((l>(n|h))&(h|l)))
|
((w&(~(w)|(n&h)))|~(h))
| 1 | 0 | 0 | 0 |
entailment
|
(l&((h&(n&l))&n))
|
((w&(~(w)|(n&h)))|~(h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((l>(n|h))&(h|l)))
|
(h|n)
| 0 | 1 | 1 | 0 |
not entailment
|
((((~(l)>~((l&h)))>h)>(h&l))&(n&~(w)))
|
(h>n)
| 1 | 1 | 1 | 1 |
entailment
|
((n|(h&l))>(h&~((n|l))))
|
~(~((~(~(n))>l)))
| 1 | 1 | 1 | 0 |
entailment
|
((((~(l)>~((l&h)))>h)>(h&l))&(n&~(w)))
|
~(~((~(~(n))>l)))
| 0 | 1 | 1 | 0 |
not entailment
|
((n|(h&l))>(h&~((n|l))))
|
(h>n)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(h))
|
(((h|w)|l)|~((~(h)&~((n|w)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((n&l)&((n>l)|w)))
|
(n>(l>w))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(h))
|
(n>(l>w))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((n&l)&((n>l)|w)))
|
(((h|w)|l)|~((~(h)&~((n|w)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((h>(((w>l)|l)&l)))&~(n)))>w)
|
((n|(l|(h|l)))|((l>w)>((w&w)|n)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((w>((h>(l|h))|n))&((l>(l>n))&n)))
|
~((h&n))
| 1 | 1 | 1 | 1 |
entailment
|
(~((~((h>(((w>l)|l)&l)))&~(n)))>w)
|
~((h&n))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((w>((h>(l|h))|n))&((l>(l>n))&n)))
|
((n|(l|(h|l)))|((l>w)>((w&w)|n)))
| 0 | 1 | 1 | 0 |
not entailment
|
((h>w)&~((h>n)))
|
~((~((n>(n&l)))&(~(((w>l)&(n&n)))|h)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~(~(n))|((l>l)|h)))|~(n)))
|
(n|(h&l))
| 1 | 1 | 1 | 1 |
entailment
|
((h>w)&~((h>n)))
|
(n|(h&l))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((~(~(n))|((l>l)|h)))|~(n)))
|
~((~((n>(n&l)))&(~(((w>l)&(n&n)))|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&((l|n)>l))&((~((w>h))>w)|w))
|
((n>w)&(w|~(h)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((w>l)>(((w>h)|n)&((~(h)&l)|h))))
|
~(~(~(((n|~((n&l)))&(n&l)))))
| 1 | 1 | 1 | 0 |
entailment
|
((w&((l|n)>l))&((~((w>h))>w)|w))
|
~(~(~(((n|~((n&l)))&(n&l)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((w>l)>(((w>h)|n)&((~(h)&l)|h))))
|
((n>w)&(w|~(h)))
| 0 | 1 | 1 | 1 |
not entailment
|
(w&h)
|
(((l&l)>(l|n))>(h>w))
| 1 | 0 | 0 | 0 |
entailment
|
~((l&l))
|
~((l|l))
| 1 | 1 | 1 | 1 |
entailment
|
(w&h)
|
~((l|l))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l&l))
|
(((l&l)>(l|n))>(h>w))
| 0 | 0 | 0 | 0 |
not entailment
|
((i>e)&i)
|
(~(z)>(e&i))
| 1 | 0 | 0 | 0 |
entailment
|
((i>i)&~((e|~(i))))
|
((((z&e)>(i&(e&e)))>e)>(z&i))
| 1 | 0 | 0 | 0 |
entailment
|
((i>e)&i)
|
((((z&e)>(i&(e&e)))>e)>(z&i))
| 0 | 0 | 0 | 0 |
not entailment
|
((i>i)&~((e|~(i))))
|
(~(z)>(e&i))
| 0 | 1 | 0 | 0 |
not entailment
|
((e&(e|e))|~(~((i&((z&i)>z)))))
|
(~((~(~(i))|~(z)))>e)
| 1 | 1 | 1 | 1 |
entailment
|
((e|e)|(z&z))
|
(~((((z&(i>z))>e)>(e|~(i))))>z)
| 1 | 0 | 0 | 0 |
entailment
|
((e&(e|e))|~(~((i&((z&i)>z)))))
|
(~((((z&(i>z))>e)>(e|~(i))))>z)
| 0 | 1 | 1 | 0 |
not entailment
|
((e|e)|(z&z))
|
(~((~(~(i))|~(z)))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
(e&~(~(z)))
|
((e&((z>e)|~(~(i))))|((e&i)&(z>(i&z))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((z&z)|i)>i)>(e|(~(i)>z))))
|
~(((i&((i>z)>(i&(e>e))))&(z>(i>z))))
| 1 | 0 | 1 | 0 |
entailment
|
(e&~(~(z)))
|
~(((i&((i>z)>(i&(e>e))))&(z>(i>z))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((z&z)|i)>i)>(e|(~(i)>z))))
|
((e&((z>e)|~(~(i))))|((e&i)&(z>(i&z))))
| 0 | 0 | 1 | 0 |
not entailment
|
((i>(~((i|z))|(z>~(z))))&e)
|
(((i&e)|(i>(e|(i|i))))>~(~((e|z))))
| 1 | 0 | 1 | 0 |
entailment
|
(((~((e|i))>(z&z))&~(e))&i)
|
(~(((i|i)>~(e)))|i)
| 1 | 1 | 1 | 1 |
entailment
|
((i>(~((i|z))|(z>~(z))))&e)
|
(~(((i|i)>~(e)))|i)
| 0 | 1 | 1 | 0 |
not entailment
|
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