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 |
|---|---|---|---|---|---|---|
((c|((c&c)&c))|~(((c>c)|((c>c)&~(c))))) | ~(c) | 0 | 1 | 1 | 1 | not entailment |
~(((c&c)&(c&~(~((c|c)))))) | (c|~((~(c)&((c>c)|c)))) | 0 | 1 | 1 | 0 | not entailment |
(((c|(c&c))|(c&c))|(c|c)) | (((~(c)|(c|c))>c)&(c>c)) | 1 | 1 | 1 | 0 | entailment |
~(((c>(c>(~(c)>c)))&(c|c))) | ~(c) | 1 | 1 | 1 | 1 | entailment |
(((c|(c&c))|(c&c))|(c|c)) | ~(c) | 0 | 1 | 1 | 0 | not entailment |
~(((c>(c>(~(c)>c)))&(c|c))) | (((~(c)|(c|c))>c)&(c>c)) | 0 | 1 | 1 | 1 | not entailment |
((c|c)&(c|((c|c)&c))) | (c&(c&c)) | 1 | 1 | 1 | 1 | entailment |
~(((((~(c)>c)>(c&(c&c)))|c)>c)) | ~(((((c>c)&(c>(c&c)))>~(c))>c)) | 1 | 1 | 1 | 1 | entailment |
((c|c)&(c|((c|c)&c))) | ~(((((c>c)&(c>(c&c)))>~(c))>c)) | 0 | 0 | 1 | 0 | not entailment |
~(((((~(c)>c)>(c&(c&c)))|c)>c)) | (c&(c&c)) | 0 | 1 | 1 | 1 | not entailment |
(((c|c)|((c>c)|(c>c)))&c) | ((((c>c)|(c|c))|~(((c>c)|~((c|c)))))&c) | 1 | 0 | 1 | 1 | entailment |
((~((c|c))|(c|((c&c)|c)))&~(c)) | ~(((c>c)&(c&((c&c)&c)))) | 1 | 1 | 1 | 1 | entailment |
(((c|c)|((c>c)|(c>c)))&c) | ~(((c>c)&(c&((c&c)&c)))) | 0 | 1 | 1 | 1 | not entailment |
((~((c|c))|(c|((c&c)|c)))&~(c)) | ((((c>c)|(c|c))|~(((c>c)|~((c|c)))))&c) | 0 | 0 | 1 | 1 | not entailment |
(~(~(((c>(c|c))>c)))|(c&c)) | (c&c) | 1 | 1 | 1 | 1 | entailment |
~(((c>c)&c)) | (((c&c)|(c|((c|c)>~((c&(c>c))))))>~(c)) | 1 | 0 | 1 | 1 | entailment |
(~(~(((c>(c|c))>c)))|(c&c)) | (((c&c)|(c|((c|c)>~((c&(c>c))))))>~(c)) | 0 | 0 | 1 | 1 | not entailment |
~(((c>c)&c)) | (c&c) | 0 | 1 | 1 | 1 | not entailment |
((c>c)>((c|~(c))>c)) | ~(~(((c|c)&c))) | 1 | 1 | 1 | 1 | entailment |
(~((c&c))|(c&~(((c|c)&(c|c))))) | ~((c&((c&c)|(c|(c|c))))) | 1 | 1 | 1 | 1 | entailment |
((c>c)>((c|~(c))>c)) | ~((c&((c&c)|(c|(c|c))))) | 0 | 0 | 1 | 1 | not entailment |
(~((c&c))|(c&~(((c|c)&(c|c))))) | ~(~(((c|c)&c))) | 0 | 1 | 1 | 1 | not entailment |
((c>c)>c) | ((((c>c)|(c|c))>(c>c))>(~(~(c))|c)) | 1 | 0 | 1 | 1 | entailment |
(~((((c>c)>(c|c))&((c|c)|~(c))))&~(c)) | ~((~((c&(c|c)))>~(~((~((c&c))>c))))) | 1 | 1 | 1 | 1 | entailment |
((c>c)>c) | ~((~((c&(c|c)))>~(~((~((c&c))>c))))) | 0 | 0 | 1 | 1 | not entailment |
(~((((c>c)>(c|c))&((c|c)|~(c))))&~(c)) | ((((c>c)|(c|c))>(c>c))>(~(~(c))|c)) | 0 | 1 | 1 | 1 | not entailment |
(c|c) | ((c|c)&((c|c)|((c|(c>c))&c))) | 1 | 0 | 1 | 0 | entailment |
~(c) | ~(((c>(c>c))&(((c|c)>~(~(c)))&(c|c)))) | 1 | 0 | 1 | 0 | entailment |
(c|c) | ~(((c>(c>c))&(((c|c)>~(~(c)))&(c|c)))) | 0 | 0 | 1 | 0 | not entailment |
~(c) | ((c|c)&((c|c)|((c|(c>c))&c))) | 0 | 0 | 1 | 0 | not entailment |
((l|(((q|j)>l)|q))&a) | (y|(a|q)) | 1 | 1 | 0 | 0 | entailment |
(j&~(((j&j)>((l&k)>y)))) | (l|((a>l)|l)) | 1 | 1 | 0 | 0 | entailment |
((l|(((q|j)>l)|q))&a) | (l|((a>l)|l)) | 0 | 1 | 1 | 0 | not entailment |
(j&~(((j&j)>((l&k)>y)))) | (y|(a|q)) | 0 | 1 | 0 | 0 | not entailment |
~(((a&y)>((a|(k>(l>k)))&~((~(a)|q))))) | (l>(q>a)) | 1 | 1 | 1 | 0 | entailment |
((l&(q>y))&y) | (((q>(y&a))&j)|((j>l)&l)) | 1 | 0 | 0 | 0 | entailment |
~(((a&y)>((a|(k>(l>k)))&~((~(a)|q))))) | (((q>(y&a))&j)|((j>l)&l)) | 0 | 1 | 0 | 0 | not entailment |
((l&(q>y))&y) | (l>(q>a)) | 0 | 1 | 0 | 0 | not entailment |
(((k&(j&l))>l)>k) | ((k|a)|u) | 1 | 1 | 0 | 0 | entailment |
((q|(q>k))>~(((j&k)|y))) | (q>(((a&u)>~(((q&q)>(y&u))))&(~(q)>a))) | 1 | 0 | 0 | 0 | entailment |
(((k&(j&l))>l)>k) | (q>(((a&u)>~(((q&q)>(y&u))))&(~(q)>a))) | 0 | 0 | 0 | 0 | not entailment |
((q|(q>k))>~(((j&k)|y))) | ((k|a)|u) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(~(((q&(k|k))>~(k))))>k))) | (~((~(q)|k))>k) | 1 | 1 | 1 | 0 | entailment |
(l&~((~(~(~((j|y))))&~((y|(a|j)))))) | ((y>l)|((((j&u)&q)&(((q>k)&k)&j))|(q>j))) | 1 | 1 | 0 | 0 | entailment |
~(~((~(~(((q&(k|k))>~(k))))>k))) | ((y>l)|((((j&u)&q)&(((q>k)&k)&j))|(q>j))) | 0 | 0 | 0 | 0 | not entailment |
(l&~((~(~(~((j|y))))&~((y|(a|j)))))) | (~((~(q)|k))>k) | 0 | 1 | 0 | 0 | not entailment |
((j|j)&(u&(y&y))) | ~(((u|(u>a))&(~((u|k))&(y|(l>l))))) | 1 | 0 | 0 | 0 | entailment |
~(~(q)) | (u>~((l&~((q&u))))) | 1 | 0 | 0 | 0 | entailment |
((j|j)&(u&(y&y))) | (u>~((l&~((q&u))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(q)) | ~(((u|(u>a))&(~((u|k))&(y|(l>l))))) | 0 | 0 | 0 | 0 | not entailment |
(((a&q)&~(((a>q)>y)))&((k>y)&a)) | (((j|q)|k)|(l&((u&u)|k))) | 1 | 1 | 0 | 0 | entailment |
(a&~((j|u))) | ~(~(((a&j)>((j|y)&l)))) | 1 | 0 | 0 | 0 | entailment |
(((a&q)&~(((a>q)>y)))&((k>y)&a)) | ~(~(((a&j)>((j|y)&l)))) | 0 | 1 | 0 | 0 | not entailment |
(a&~((j|u))) | (((j|q)|k)|(l&((u&u)|k))) | 0 | 0 | 0 | 0 | not entailment |
((l&(q&((k&a)&u)))&(a>j)) | ((y>(j&(a>j)))&~(~((y|l)))) | 1 | 0 | 0 | 0 | entailment |
((y&l)&(y|(a|(u&l)))) | (u>y) | 1 | 1 | 1 | 0 | entailment |
((l&(q&((k&a)&u)))&(a>j)) | (u>y) | 0 | 1 | 0 | 0 | not entailment |
((y&l)&(y|(a|(u&l)))) | ((y>(j&(a>j)))&~(~((y|l)))) | 0 | 0 | 0 | 0 | not entailment |
(a&~(k)) | ((l>y)|((q&j)>a)) | 1 | 0 | 0 | 0 | entailment |
(~(y)&(j|u)) | (q|~((y&l))) | 1 | 1 | 0 | 0 | entailment |
(a&~(k)) | (q|~((y&l))) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&(j|u)) | ((l>y)|((q&j)>a)) | 0 | 0 | 0 | 0 | not entailment |
(~(((a>(q|y))&(u&k)))&(k&((k|a)&(a&a)))) | (k&((u>k)>(~(y)>a))) | 1 | 1 | 1 | 0 | entailment |
~((((~((j|q))>(l>(l>y)))>k)>((k>y)>y))) | ((l|u)|((y>q)|(((j&y)&y)&k))) | 1 | 1 | 0 | 0 | entailment |
(~(((a>(q|y))&(u&k)))&(k&((k|a)&(a&a)))) | ((l|u)|((y>q)|(((j&y)&y)&k))) | 0 | 1 | 0 | 0 | not entailment |
~((((~((j|q))>(l>(l>y)))>k)>((k>y)>y))) | (k&((u>k)>(~(y)>a))) | 0 | 1 | 0 | 0 | not entailment |
~(~(a)) | (a&a) | 1 | 1 | 1 | 1 | entailment |
~(a) | ~((a|(((u>l)&~(j))&(u&a)))) | 1 | 0 | 0 | 0 | entailment |
~(~(a)) | ~((a|(((u>l)&~(j))&(u&a)))) | 0 | 0 | 0 | 0 | not entailment |
~(a) | (a&a) | 0 | 1 | 1 | 0 | not entailment |
~(y) | ((y&q)>((((q&l)&u)|(u>l))&((j|l)>k))) | 1 | 0 | 0 | 0 | entailment |
(((y>(q|l))&(q&k))&j) | (q|l) | 1 | 1 | 1 | 1 | entailment |
~(y) | (q|l) | 0 | 1 | 0 | 0 | not entailment |
(((y>(q|l))&(q&k))&j) | ((y&q)>((((q&l)&u)|(u>l))&((j|l)>k))) | 0 | 0 | 0 | 0 | not entailment |
((a|(j|q))&a) | ((j&j)>(a|~(y))) | 1 | 0 | 0 | 0 | entailment |
(~((k|((~(u)&k)&l)))&j) | (~(u)|(((y|u)>y)>j)) | 1 | 1 | 0 | 0 | entailment |
((a|(j|q))&a) | (~(u)|(((y|u)>y)>j)) | 0 | 0 | 0 | 0 | not entailment |
(~((k|((~(u)&k)&l)))&j) | ((j&j)>(a|~(y))) | 0 | 1 | 0 | 0 | not entailment |
~(((u&~(y))>(~(a)&~(~((l>y)))))) | (j|u) | 1 | 1 | 0 | 0 | entailment |
(l&a) | ((~(l)&u)>k) | 1 | 0 | 0 | 0 | entailment |
~(((u&~(y))>(~(a)&~(~((l>y)))))) | ((~(l)&u)>k) | 0 | 1 | 0 | 0 | not entailment |
(l&a) | (j|u) | 0 | 1 | 0 | 0 | not entailment |
(~((((p&l)&u)&(m>(u|p))))>(m|m)) | (~(m)>p) | 1 | 1 | 1 | 1 | entailment |
(((m&~((u|m)))>p)&~(m)) | ~((l&(m&p))) | 1 | 1 | 0 | 0 | entailment |
(~((((p&l)&u)&(m>(u|p))))>(m|m)) | ~((l&(m&p))) | 0 | 1 | 1 | 0 | not entailment |
(((m&~((u|m)))>p)&~(m)) | (~(m)>p) | 0 | 1 | 1 | 1 | not entailment |
((p|p)&~(l)) | (~(~((~(m)&m)))|p) | 1 | 0 | 0 | 0 | entailment |
~(~((((u|m)&~((u>m)))|u))) | (m>(m>((m&u)|((u|(u&u))&(u>l))))) | 1 | 0 | 0 | 0 | entailment |
((p|p)&~(l)) | (m>(m>((m&u)|((u|(u&u))&(u>l))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((((u|m)&~((u>m)))|u))) | (~(~((~(m)&m)))|p) | 0 | 1 | 0 | 0 | not entailment |
(~((l&p))&u) | (~(~((((p|(p|u))>l)|p)))>(l|p)) | 1 | 0 | 1 | 0 | entailment |
(u>p) | (~(((~(p)&(m|(l|m)))|~((l>m))))>(u>p)) | 1 | 0 | 0 | 0 | entailment |
(~((l&p))&u) | (~(((~(p)&(m|(l|m)))|~((l>m))))>(u>p)) | 0 | 0 | 0 | 0 | not entailment |
(u>p) | (~(~((((p|(p|u))>l)|p)))>(l|p)) | 0 | 0 | 0 | 0 | not entailment |
(l&p) | (m>((~(m)&~(l))|(p>(((m|m)>~(l))>u)))) | 1 | 0 | 0 | 0 | entailment |
~((m>l)) | (l>~(m)) | 1 | 1 | 1 | 0 | entailment |
(l&p) | (l>~(m)) | 0 | 0 | 0 | 0 | not entailment |
~((m>l)) | (m>((~(m)&~(l))|(p>(((m|m)>~(l))>u)))) | 0 | 0 | 0 | 0 | not entailment |
(((p|m)&(p>(u&~(l))))&(p>(u>(p>(l&u))))) | ((~(((u&p)>u))|(~((m&l))>m))|((p|u)&u)) | 1 | 1 | 1 | 1 | entailment |
~((l>(m|p))) | ((~(~(m))&(l&u))>(p|p)) | 1 | 0 | 0 | 0 | entailment |
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