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 |
|---|---|---|---|---|---|---|
(((m|y)&~(((a|h)>~(a))))&(c>((a>h)&a))) | ((a|~(b))|(k|((c>(c|m))>~(y)))) | 1 | 1 | 0 | 0 | entailment |
(m&(((y>(h|c))>k)|m)) | ((k|b)|(m|~((y&h)))) | 1 | 1 | 0 | 0 | entailment |
(((m|y)&~(((a|h)>~(a))))&(c>((a>h)&a))) | ((k|b)|(m|~((y&h)))) | 0 | 1 | 0 | 0 | not entailment |
(m&(((y>(h|c))>k)|m)) | ((a|~(b))|(k|((c>(c|m))>~(y)))) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&a) | (a|~(k)) | 1 | 1 | 0 | 0 | entailment |
~(((~(~(~(~(m))))&~(b))>~((h>y)))) | (h>y) | 1 | 1 | 1 | 1 | entailment |
(~(y)&a) | (h>y) | 0 | 1 | 0 | 0 | not entailment |
~(((~(~(~(~(m))))&~(b))>~((h>y)))) | (a|~(k)) | 0 | 1 | 0 | 0 | not entailment |
(((y>k)|((h|b)>(y>(a>m))))&h) | ~((~((c>(c&h)))&y)) | 1 | 1 | 0 | 0 | entailment |
(~((~(h)>h))&~(m)) | ((h>(k&m))|(m>(k|b))) | 1 | 1 | 0 | 0 | entailment |
(((y>k)|((h|b)>(y>(a>m))))&h) | ((h>(k&m))|(m>(k|b))) | 0 | 1 | 1 | 0 | not entailment |
(~((~(h)>h))&~(m)) | ~((~((c>(c&h)))&y)) | 0 | 1 | 0 | 0 | not entailment |
~((a>h)) | ~(~((((c&~((a|a)))>k)&(k|a)))) | 1 | 0 | 0 | 0 | entailment |
((a>a)&~(b)) | (((b|h)>((~((h&b))>a)&y))|(h|(c&b))) | 1 | 0 | 0 | 0 | entailment |
~((a>h)) | (((b|h)>((~((h&b))>a)&y))|(h|(c&b))) | 0 | 0 | 0 | 0 | not entailment |
((a>a)&~(b)) | ~(~((((c&~((a|a)))>k)&(k|a)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(m)) | ((a|(m|b))|((a|y)>a)) | 1 | 0 | 0 | 0 | entailment |
((k&h)&(c>(a>m))) | ((~(~(k))>(~(h)>(c&((y>m)|(m>y)))))>k) | 1 | 0 | 0 | 0 | entailment |
~(~(m)) | ((~(~(k))>(~(h)>(c&((y>m)|(m>y)))))>k) | 0 | 0 | 0 | 0 | not entailment |
((k&h)&(c>(a>m))) | ((a|(m|b))|((a|y)>a)) | 0 | 0 | 0 | 0 | not entailment |
~(~((a&((a|(a>~((b|(y>k)))))>(y&a))))) | (m|((m|a)|h)) | 1 | 1 | 0 | 0 | entailment |
((((y|k)&k)&c)|k) | ((k&~((m|(((m|m)&y)&~((k|(k|b)))))))|k) | 1 | 0 | 0 | 0 | entailment |
~(~((a&((a|(a>~((b|(y>k)))))>(y&a))))) | ((k&~((m|(((m|m)&y)&~((k|(k|b)))))))|k) | 0 | 1 | 0 | 0 | not entailment |
((((y|k)&k)&c)|k) | (m|((m|a)|h)) | 0 | 1 | 0 | 0 | not entailment |
(~((b>k))|((a>~((b&b)))&(m&~(k)))) | (((b&k)&(m|y))|(k>~(~(((m|y)&y))))) | 1 | 1 | 0 | 0 | entailment |
~(b) | ~((b&(((h|k)|(h&m))>b))) | 1 | 0 | 0 | 0 | entailment |
(~((b>k))|((a>~((b&b)))&(m&~(k)))) | ~((b&(((h|k)|(h&m))>b))) | 0 | 1 | 0 | 0 | not entailment |
~(b) | (((b&k)&(m|y))|(k>~(~(((m|y)&y))))) | 0 | 0 | 0 | 0 | not entailment |
(m|m) | ((h>m)&(c>m)) | 1 | 0 | 0 | 0 | entailment |
(k&b) | ((y&y)>(k&y)) | 1 | 0 | 0 | 0 | entailment |
(m|m) | ((y&y)>(k&y)) | 0 | 0 | 0 | 0 | not entailment |
(k&b) | ((h>m)&(c>m)) | 0 | 0 | 0 | 0 | not entailment |
((~(~(~(~(m))))|(y|y))&(~(a)&b)) | ((c>(~(c)&(h|y)))|b) | 1 | 1 | 0 | 0 | entailment |
(~(y)&~(((c|k)>y))) | ((y>c)|~(k)) | 1 | 1 | 1 | 0 | entailment |
((~(~(~(~(m))))|(y|y))&(~(a)&b)) | ((y>c)|~(k)) | 0 | 1 | 0 | 0 | not entailment |
(~(y)&~(((c|k)>y))) | ((c>(~(c)&(h|y)))|b) | 0 | 1 | 0 | 0 | not entailment |
(b&((m|k)|((b&a)>h))) | ((y>(~(b)>k))|~((y|a))) | 1 | 0 | 0 | 0 | entailment |
(~(k)&~((a|~(m)))) | (((m>k)>(((y|b)>h)&c))&((m|(y>y))|k)) | 1 | 0 | 0 | 0 | entailment |
(b&((m|k)|((b&a)>h))) | (((m>k)>(((y|b)>h)&c))&((m|(y>y))|k)) | 0 | 0 | 0 | 0 | not entailment |
(~(k)&~((a|~(m)))) | ((y>(~(b)>k))|~((y|a))) | 0 | 0 | 0 | 0 | not entailment |
(((((~(y)>m)>k)|(k>m))&(b&y))&(y>y)) | ((((h&~(b))>m)&(a|(k|b)))|(a|h)) | 1 | 1 | 0 | 0 | entailment |
~(((c|~((a>y)))|k)) | (((k|c)>~((h>(y>h))))|(h&k)) | 1 | 0 | 0 | 0 | entailment |
(((((~(y)>m)>k)|(k>m))&(b&y))&(y>y)) | (((k|c)>~((h>(y>h))))|(h&k)) | 0 | 1 | 0 | 0 | not entailment |
~(((c|~((a>y)))|k)) | ((((h&~(b))>m)&(a|(k|b)))|(a|h)) | 0 | 0 | 0 | 0 | not entailment |
(k&(c|m)) | (c|m) | 1 | 1 | 1 | 1 | entailment |
~((h>~(a))) | (a|(h>m)) | 1 | 1 | 0 | 0 | entailment |
(k&(c|m)) | (a|(h>m)) | 0 | 1 | 0 | 0 | not entailment |
~((h>~(a))) | (c|m) | 0 | 1 | 0 | 0 | not entailment |
((~((u|u))>u)&u) | ((~(((u>u)|u))|~(u))>u) | 1 | 0 | 1 | 0 | entailment |
~((u|(u|u))) | (u>((u>(u|(~(u)|u)))>~(u))) | 1 | 0 | 1 | 0 | entailment |
((~((u|u))>u)&u) | (u>((u>(u|(~(u)|u)))>~(u))) | 0 | 0 | 1 | 0 | not entailment |
~((u|(u|u))) | ((~(((u>u)|u))|~(u))>u) | 0 | 0 | 1 | 0 | not entailment |
(u|((u|(u|u))&(u>u))) | (~(~((u>u)))&~((((u&u)|u)>~((u>u))))) | 1 | 0 | 1 | 1 | entailment |
~(((u>((u>u)>u))>(u&u))) | ~((((u&u)&u)|u)) | 1 | 1 | 1 | 1 | entailment |
(u|((u|(u|u))&(u>u))) | ~((((u&u)&u)|u)) | 0 | 1 | 1 | 1 | not entailment |
~(((u>((u>u)>u))>(u&u))) | (~(~((u>u)))&~((((u&u)|u)>~((u>u))))) | 0 | 0 | 1 | 1 | not entailment |
(u&(u|~(u))) | (((u>u)&u)&u) | 1 | 1 | 1 | 1 | entailment |
~((~((~((u&u))|u))|~(~((~(u)>u))))) | (u>~((u|u))) | 1 | 1 | 1 | 1 | entailment |
(u&(u|~(u))) | (u>~((u|u))) | 0 | 1 | 1 | 1 | not entailment |
~((~((~((u&u))|u))|~(~((~(u)>u))))) | (((u>u)&u)&u) | 0 | 1 | 1 | 1 | not entailment |
(u&u) | ((u>u)>(u|(u|u))) | 1 | 0 | 1 | 0 | entailment |
~((u&u)) | ~(((u|u)|(((u&u)|~(u))>~(((u>u)|u))))) | 1 | 0 | 1 | 0 | entailment |
(u&u) | ~(((u|u)|(((u&u)|~(u))>~(((u>u)|u))))) | 0 | 0 | 1 | 0 | not entailment |
~((u&u)) | ((u>u)>(u|(u|u))) | 0 | 0 | 1 | 0 | not entailment |
(~(~(u))&((((u&u)|u)&u)>u)) | (~(u)>u) | 1 | 1 | 1 | 1 | entailment |
(~(u)&(~(~(u))>(u&((u|u)>u)))) | ~(~(~((((u&(u|u))|u)&u)))) | 1 | 1 | 1 | 1 | entailment |
(~(~(u))&((((u&u)|u)&u)>u)) | ~(~(~((((u&(u|u))|u)&u)))) | 0 | 1 | 1 | 1 | not entailment |
(~(u)&(~(~(u))>(u&((u|u)>u)))) | (~(u)>u) | 0 | 1 | 1 | 1 | not entailment |
(u|~((~((u&(u&u)))|((u&u)|u)))) | (((((u|(u>u))>u)&((u&u)|u))&u)&(u&u)) | 1 | 0 | 1 | 1 | entailment |
((u>(u&u))>~(((u&u)|(u&u)))) | ~(((u|(u>u))&(~(u)>u))) | 1 | 1 | 1 | 1 | entailment |
(u|~((~((u&(u&u)))|((u&u)|u)))) | ~(((u|(u>u))&(~(u)>u))) | 0 | 1 | 1 | 1 | not entailment |
((u>(u&u))>~(((u&u)|(u&u)))) | (((((u|(u>u))>u)&((u&u)|u))&u)&(u&u)) | 0 | 0 | 1 | 1 | not entailment |
((h&p)&(t|(b>b))) | (h|j) | 1 | 1 | 0 | 0 | entailment |
(e&l) | ((t&h)|((o|t)|~(~(l)))) | 1 | 0 | 0 | 0 | entailment |
((h&p)&(t|(b>b))) | ((t&h)|((o|t)|~(~(l)))) | 0 | 0 | 0 | 0 | not entailment |
(e&l) | (h|j) | 0 | 1 | 0 | 0 | not entailment |
~(~((h|h))) | (~((~(o)&((e>y)|(e|h))))|(y>(j>h))) | 1 | 0 | 0 | 0 | entailment |
(l&p) | (e>l) | 1 | 1 | 0 | 0 | entailment |
~(~((h|h))) | (e>l) | 0 | 1 | 0 | 0 | not entailment |
(l&p) | (~((~(o)&((e>y)|(e|h))))|(y>(j>h))) | 0 | 0 | 0 | 0 | not entailment |
(~(j)&~((o|(p>(((e>l)|t)>h))))) | ((t>p)|((~((o&~(t)))>h)|~(~(h)))) | 1 | 0 | 1 | 0 | entailment |
(j|(j&(j>e))) | ((j&(e|((t&j)|l)))|j) | 1 | 0 | 0 | 0 | entailment |
(~(j)&~((o|(p>(((e>l)|t)>h))))) | ((j&(e|((t&j)|l)))|j) | 0 | 1 | 1 | 0 | not entailment |
(j|(j&(j>e))) | ((t>p)|((~((o&~(t)))>h)|~(~(h)))) | 0 | 0 | 0 | 0 | not entailment |
((t>h)&(o&j)) | (~((l>p))>o) | 1 | 1 | 0 | 0 | entailment |
~((~(~((b|l)))>(t>b))) | ((((o>(p>o))&l)&t)|((y&o)>t)) | 1 | 0 | 0 | 0 | entailment |
((t>h)&(o&j)) | ((((o>(p>o))&l)&t)|((y&o)>t)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((b|l)))>(t>b))) | (~((l>p))>o) | 0 | 1 | 0 | 0 | not entailment |
(e&((~((h|b))&((t|t)>t))&p)) | (((e|(t&(j&h)))&p)&(e|((j>(e>(b>e)))&j))) | 1 | 0 | 0 | 0 | entailment |
(~(((j|j)>y))&t) | ~((((~(t)&y)&j)&p)) | 1 | 0 | 0 | 0 | entailment |
(e&((~((h|b))&((t|t)>t))&p)) | ~((((~(t)&y)&j)&p)) | 0 | 1 | 0 | 0 | not entailment |
(~(((j|j)>y))&t) | (((e|(t&(j&h)))&p)&(e|((j>(e>(b>e)))&j))) | 0 | 0 | 0 | 0 | not entailment |
~((y&h)) | (~(((y&y)&(t>p)))|(~((h&e))|(h>p))) | 1 | 0 | 0 | 0 | entailment |
~(~((e&l))) | ((j>l)|((l&(~((j&y))&t))&~((e|j)))) | 1 | 0 | 0 | 0 | entailment |
~((y&h)) | ((j>l)|((l&(~((j&y))&t))&~((e|j)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((e&l))) | (~(((y&y)&(t>p)))|(~((h&e))|(h>p))) | 0 | 0 | 0 | 0 | not entailment |
~((((~(t)&j)|h)|(o>~((p>(e>h)))))) | (o|((h&b)&(h|(b>h)))) | 1 | 1 | 0 | 0 | entailment |
(t&((b&j)>(p>o))) | ((t>t)>t) | 1 | 1 | 1 | 0 | entailment |
~((((~(t)&j)|h)|(o>~((p>(e>h)))))) | ((t>t)>t) | 0 | 1 | 1 | 0 | not entailment |
(t&((b&j)>(p>o))) | (o|((h&b)&(h|(b>h)))) | 0 | 0 | 0 | 0 | not entailment |
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