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 |
|---|---|---|---|---|---|---|
(n&(~(((z&z)>(b&b)))&(b|z))) | ((~((l|n))|n)|(((l&l)|~(l))>b)) | 1 | 0 | 0 | 0 | entailment |
(((((n&l)|b)&l)|~((b&n)))&~(n)) | ((n>((((z|~(b))>n)>(z|n))>l))|(z&b)) | 1 | 0 | 0 | 0 | entailment |
(n&(~(((z&z)>(b&b)))&(b|z))) | ((n>((((z|~(b))>n)>(z|n))>l))|(z&b)) | 0 | 0 | 0 | 0 | not entailment |
(((((n&l)|b)&l)|~((b&n)))&~(n)) | ((~((l|n))|n)|(((l&l)|~(l))>b)) | 0 | 1 | 1 | 0 | not entailment |
((~((~((l|n))&l))>(b|b))&(z&(l>(b|z)))) | (z&z) | 1 | 1 | 1 | 1 | entailment |
~(((~(b)|~(z))>(b>l))) | (z>~(l)) | 1 | 1 | 1 | 1 | entailment |
((~((~((l|n))&l))>(b|b))&(z&(l>(b|z)))) | (z>~(l)) | 0 | 1 | 1 | 0 | not entailment |
~(((~(b)|~(z))>(b>l))) | (z&z) | 0 | 1 | 1 | 0 | not entailment |
((((z>n)|z)>~((n>b)))>z) | (~(n)|(~(z)>b)) | 1 | 1 | 1 | 1 | entailment |
~(~((~(~((l&n)))&(((b&b)>l)|n)))) | (~(~(z))|(z|(l&l))) | 1 | 1 | 0 | 0 | entailment |
((((z>n)|z)>~((n>b)))>z) | (~(~(z))|(z|(l&l))) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(~((l&n)))&(((b&b)>l)|n)))) | (~(n)|(~(z)>b)) | 0 | 1 | 0 | 0 | not entailment |
(~((l|(n&(z&z))))&z) | ((n>~((~(n)&(z>b))))>z) | 1 | 0 | 0 | 0 | entailment |
(~(l)&n) | ((z>(~(n)>l))&(l>(l>z))) | 1 | 0 | 0 | 0 | entailment |
(~((l|(n&(z&z))))&z) | ((z>(~(n)>l))&(l>(l>z))) | 0 | 0 | 1 | 0 | not entailment |
(~(l)&n) | ((n>~((~(n)&(z>b))))>z) | 0 | 0 | 0 | 0 | not entailment |
~((((l|l)|l)|~(b))) | (((l|b)|~((z&n)))|l) | 1 | 1 | 0 | 0 | entailment |
(~((n>(z>n)))|((z>~((n>l)))|n)) | ~(((~((n|l))&z)|~((b|((n>~(b))|n))))) | 1 | 0 | 0 | 0 | entailment |
~((((l|l)|l)|~(b))) | ~(((~((n|l))&z)|~((b|((n>~(b))|n))))) | 0 | 0 | 0 | 0 | not entailment |
(~((n>(z>n)))|((z>~((n>l)))|n)) | (((l|b)|~((z&n)))|l) | 0 | 1 | 0 | 0 | not entailment |
((z>l)&(((b|((l|l)>n))|z)>l)) | (~((z&~(n)))>l) | 1 | 1 | 1 | 0 | entailment |
((((~((n>(z&l)))&n)&(b&b))>n)>~(l)) | ~(((l|z)&~((n>z)))) | 1 | 1 | 1 | 0 | entailment |
((z>l)&(((b|((l|l)>n))|z)>l)) | ~(((l|z)&~((n>z)))) | 0 | 1 | 1 | 0 | not entailment |
((((~((n>(z&l)))&n)&(b&b))>n)>~(l)) | (~((z&~(n)))>l) | 0 | 1 | 1 | 0 | not entailment |
~((~(((l&b)|l))&(b>((n>n)>n)))) | (~(((z>b)&(l|b)))>z) | 1 | 1 | 0 | 0 | entailment |
(~(~(((n|z)&b)))|n) | (b|(((b>z)|l)>n)) | 1 | 1 | 0 | 0 | entailment |
~((~(((l&b)|l))&(b>((n>n)>n)))) | (b|(((b>z)|l)>n)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((n|z)&b)))|n) | (~(((z>b)&(l|b)))>z) | 0 | 1 | 0 | 0 | not entailment |
((n&n)&((b&(b&l))&(z&((l>z)>(z>b))))) | ~(~((~(~(((n>b)|(z|(b|n)))))&b))) | 1 | 1 | 1 | 0 | entailment |
(b>~(~(~((~(((b&n)>(l>(l|l))))>z))))) | ((n&(b&b))>~(((b|z)&(z&n)))) | 1 | 1 | 1 | 0 | entailment |
((n&n)&((b&(b&l))&(z&((l>z)>(z>b))))) | ((n&(b&b))>~(((b|z)&(z&n)))) | 0 | 1 | 1 | 0 | not entailment |
(b>~(~(~((~(((b&n)>(l>(l|l))))>z))))) | ~(~((~(~(((n>b)|(z|(b|n)))))&b))) | 0 | 1 | 1 | 0 | not entailment |
~((((z>b)>l)>(b|~(~(l))))) | (z|~(((n&l)&n))) | 1 | 1 | 0 | 0 | entailment |
((((l|l)>n)&l)&((n>l)&((z>z)|b))) | (n&((((l&b)|b)|l)|(n|(l>b)))) | 1 | 1 | 1 | 1 | entailment |
~((((z>b)>l)>(b|~(~(l))))) | (n&((((l&b)|b)|l)|(n|(l>b)))) | 0 | 1 | 0 | 0 | not entailment |
((((l|l)>n)&l)&((n>l)&((z>z)|b))) | (z|~(((n&l)&n))) | 0 | 1 | 1 | 1 | not entailment |
(((z|(n>n))|n)>~((n>(n&l)))) | (b>((l|~(b))|((z>(z|n))&(n&(n|b))))) | 1 | 0 | 0 | 0 | entailment |
(z&~(((n&n)&z))) | (~(~((n>~(((n>b)|n)))))&(z&z)) | 1 | 0 | 0 | 0 | entailment |
(((z|(n>n))|n)>~((n>(n&l)))) | (~(~((n>~(((n>b)|n)))))&(z&z)) | 0 | 0 | 0 | 0 | not entailment |
(z&~(((n&n)&z))) | (b>((l|~(b))|((z>(z|n))&(n&(n|b))))) | 0 | 0 | 0 | 0 | not entailment |
((((n|(b>z))&~(l))>~(z))&~((l|n))) | ~(~((z>b))) | 1 | 1 | 1 | 1 | entailment |
(((b>l)|(~(b)>(n&~(b))))>((z>l)>(z&z))) | ((l>~((~((b>(n>(z&b))))>(z|n))))>z) | 1 | 1 | 1 | 0 | entailment |
((((n|(b>z))&~(l))>~(z))&~((l|n))) | ((l>~((~((b>(n>(z&b))))>(z|n))))>z) | 0 | 1 | 1 | 0 | not entailment |
(((b>l)|(~(b)>(n&~(b))))>((z>l)>(z&z))) | ~(~((z>b))) | 0 | 1 | 1 | 0 | not entailment |
~((((b>(l>z))>~(l))>((b|~(b))>(b|n)))) | ((z|n)>(~(~((l|(b|b))))|z)) | 1 | 1 | 1 | 0 | entailment |
(~(l)&~((n>(l|l)))) | (~(((z&~(l))&(l&(~(z)|(b|b)))))>n) | 1 | 0 | 0 | 0 | entailment |
~((((b>(l>z))>~(l))>((b|~(b))>(b|n)))) | (~(((z&~(l))&(l&(~(z)|(b|b)))))>n) | 0 | 1 | 1 | 0 | not entailment |
(~(l)&~((n>(l|l)))) | ((z|n)>(~(~((l|(b|b))))|z)) | 0 | 0 | 0 | 0 | not entailment |
((b>n)>(b&(l>(z|z)))) | (l>(n>z)) | 1 | 1 | 1 | 1 | entailment |
(((z|b)&b)>~((~(b)>~(~(l))))) | ((~(~(b))&~(~(b)))>(n|(l&~((z>z))))) | 1 | 0 | 0 | 0 | entailment |
((b>n)>(b&(l>(z|z)))) | ((~(~(b))&~(~(b)))>(n|(l&~((z>z))))) | 0 | 0 | 1 | 0 | not entailment |
(((z|b)&b)>~((~(b)>~(~(l))))) | (l>(n>z)) | 0 | 1 | 0 | 0 | not entailment |
~(~((z&z))) | (((b>l)>(z|b))>(n|((b>z)|(l|l)))) | 1 | 0 | 0 | 0 | entailment |
((~(~(b))&(b&b))|~((~((n|n))>(z>b)))) | ~(~((~((b&(z|b)))>(~(n)&((n&n)>b))))) | 1 | 1 | 1 | 1 | entailment |
~(~((z&z))) | ~(~((~((b&(z|b)))>(~(n)&((n&n)>b))))) | 0 | 0 | 0 | 0 | not entailment |
((~(~(b))&(b&b))|~((~((n|n))>(z>b)))) | (((b>l)>(z|b))>(n|((b>z)|(l|l)))) | 0 | 1 | 0 | 0 | not entailment |
(k&(t&k)) | (~(~(k))|((l&(l>(((n>j)&j)>t)))|(t|h))) | 1 | 0 | 0 | 0 | entailment |
~((~((~(t)|~((t|t))))|l)) | ~((~(~(t))&(t|(h&(((k&l)>k)>n))))) | 1 | 0 | 0 | 0 | entailment |
(k&(t&k)) | ~((~(~(t))&(t|(h&(((k&l)>k)>n))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(t)|~((t|t))))|l)) | (~(~(k))|((l&(l>(((n>j)&j)>t)))|(t|h))) | 0 | 0 | 0 | 0 | not entailment |
(((n|~((~(n)>l)))>(l>l))&h) | (((k&j)&((t|n)&((k|t)|k)))|h) | 1 | 1 | 0 | 0 | entailment |
~((((~((t&(l&n)))>(l>k))>k)|(h&~(l)))) | ~((h&~(~(~((j>((j&h)>t))))))) | 1 | 1 | 0 | 0 | entailment |
(((n|~((~(n)>l)))>(l>l))&h) | ~((h&~(~(~((j>((j&h)>t))))))) | 0 | 0 | 0 | 0 | not entailment |
~((((~((t&(l&n)))>(l>k))>k)|(h&~(l)))) | (((k&j)&((t|n)&((k|t)|k)))|h) | 0 | 1 | 0 | 0 | not entailment |
~((((j&~(((h>k)|k)))&j)>l)) | (k|h) | 1 | 1 | 1 | 0 | entailment |
(((h&j)|~(k))>~(j)) | (((j&n)&(t>t))>~(h)) | 1 | 1 | 0 | 0 | entailment |
~((((j&~(((h>k)|k)))&j)>l)) | (((j&n)&(t>t))>~(h)) | 0 | 1 | 0 | 0 | not entailment |
(((h&j)|~(k))>~(j)) | (k|h) | 0 | 1 | 1 | 0 | not entailment |
(((t>k)>~((l>t)))&h) | (j>((~(k)>~((j&k)))>(l|(((l&t)>h)>h)))) | 1 | 0 | 0 | 0 | entailment |
~(~((((l&n)&~(n))|k))) | ((~(~(~(((~(n)>j)>k))))>n)|l) | 1 | 0 | 0 | 0 | entailment |
(((t>k)>~((l>t)))&h) | ((~(~(~(((~(n)>j)>k))))>n)|l) | 0 | 0 | 0 | 0 | not entailment |
~(~((((l&n)&~(n))|k))) | (j>((~(k)>~((j&k)))>(l|(((l&t)>h)>h)))) | 0 | 0 | 0 | 0 | not entailment |
((j|h)>k) | (h>(~(((h&(k>l))>(h&t)))>l)) | 1 | 0 | 0 | 0 | entailment |
((n>((j&~(k))|(n|j)))&j) | ((~(~((j&(h|t))))>j)&((l|~(t))>(j&j))) | 1 | 0 | 0 | 0 | entailment |
((j|h)>k) | ((~(~((j&(h|t))))>j)&((l|~(t))>(j&j))) | 0 | 0 | 0 | 0 | not entailment |
((n>((j&~(k))|(n|j)))&j) | (h>(~(((h&(k>l))>(h&t)))>l)) | 0 | 0 | 0 | 0 | not entailment |
(l&t) | (l>((l>n)>t)) | 1 | 0 | 0 | 0 | entailment |
(h&(((l>(j|t))&h)>(n>(l|(n&(h&t)))))) | (h|~(t)) | 1 | 1 | 1 | 1 | entailment |
(l&t) | (h|~(t)) | 0 | 0 | 0 | 0 | not entailment |
(h&(((l>(j|t))&h)>(n>(l|(n&(h&t)))))) | (l>((l>n)>t)) | 0 | 1 | 1 | 0 | not entailment |
(((h&k)&t)&(l>k)) | (k>(j>h)) | 1 | 1 | 0 | 0 | entailment |
~(((((~(t)&(h>n))&t)|~(j))|((l>h)|t))) | ~((k&t)) | 1 | 1 | 0 | 0 | entailment |
(((h&k)&t)&(l>k)) | ~((k&t)) | 0 | 1 | 1 | 0 | not entailment |
~(((((~(t)&(h>n))&t)|~(j))|((l>h)|t))) | (k>(j>h)) | 0 | 1 | 0 | 0 | not entailment |
~((n|((t>k)|l))) | ~((j&n)) | 1 | 1 | 0 | 0 | entailment |
((t&h)&j) | (((j|j)|~((l>j)))|j) | 1 | 0 | 0 | 0 | entailment |
~((n|((t>k)|l))) | (((j|j)|~((l>j)))|j) | 0 | 0 | 0 | 0 | not entailment |
((t&h)&j) | ~((j&n)) | 0 | 1 | 0 | 0 | not entailment |
(((~(n)>t)>j)&(t|h)) | (~((k>j))>~(t)) | 1 | 1 | 0 | 0 | entailment |
((((t>(t>~(l)))>(l|j))&~(h))&k) | (h>k) | 1 | 1 | 1 | 1 | entailment |
(((~(n)>t)>j)&(t|h)) | (h>k) | 0 | 1 | 0 | 0 | not entailment |
((((t>(t>~(l)))>(l|j))&~(h))&k) | (~((k>j))>~(t)) | 0 | 1 | 1 | 0 | not entailment |
(n&j) | ~((j>~((n>n)))) | 1 | 0 | 1 | 0 | entailment |
((l>((l&k)|h))&~(((n>(k&((j>j)&t)))>k))) | ~(~((n>((l&j)|(h>k))))) | 1 | 1 | 1 | 0 | entailment |
(n&j) | ~(~((n>((l&j)|(h>k))))) | 0 | 0 | 0 | 0 | not entailment |
((l>((l&k)|h))&~(((n>(k&((j>j)&t)))>k))) | ~((j>~((n>n)))) | 0 | 1 | 1 | 0 | not entailment |
((l&(h&(n&t)))&((j>(h|l))|k)) | (n>t) | 1 | 1 | 1 | 0 | entailment |
(j&h) | ~(~((n>((k>j)&(l>(l&j)))))) | 1 | 0 | 0 | 0 | entailment |
((l&(h&(n&t)))&((j>(h|l))|k)) | ~(~((n>((k>j)&(l>(l&j)))))) | 0 | 1 | 1 | 0 | not entailment |
(j&h) | (n>t) | 0 | 1 | 0 | 0 | not entailment |
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