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 |
|---|---|---|---|---|---|---|
((y&(f|(f|j)))&j) | (((~(f)>(i|i))>(((f|(f>~(h)))>y)>y))&j) | 1 | 0 | 0 | 0 | entailment |
(~(((h&(y>f))>f))&~((i&((h&h)>j)))) | (f|h) | 1 | 1 | 1 | 1 | entailment |
((y&(f|(f|j)))&j) | (f|h) | 0 | 1 | 0 | 0 | not entailment |
(~(((h&(y>f))>f))&~((i&((h&h)>j)))) | (((~(f)>(i|i))>(((f|(f>~(h)))>y)>y))&j) | 0 | 0 | 1 | 0 | not entailment |
~(((y|(h&~(j)))|(f>(j>~(h))))) | (~(f)|j) | 1 | 1 | 1 | 0 | entailment |
((~(~(~(y)))>((i|(y&h))|(j>y)))&y) | ~(~(y)) | 1 | 1 | 1 | 1 | entailment |
~(((y|(h&~(j)))|(f>(j>~(h))))) | ~(~(y)) | 0 | 1 | 1 | 0 | not entailment |
((~(~(~(y)))>((i|(y&h))|(j>y)))&y) | (~(f)|j) | 0 | 1 | 0 | 0 | not entailment |
~((~((y>h))|(i|((j|j)|((h|j)>f))))) | (f>(y&~((j|(i&f))))) | 1 | 1 | 1 | 0 | entailment |
(((i&(y|j))>~((j|~(h))))&i) | ~((~((i&i))&h)) | 1 | 1 | 1 | 0 | entailment |
~((~((y>h))|(i|((j|j)|((h|j)>f))))) | ~((~((i&i))&h)) | 0 | 1 | 1 | 0 | not entailment |
(((i&(y|j))>~((j|~(h))))&i) | (f>(y&~((j|(i&f))))) | 0 | 1 | 0 | 0 | not entailment |
~((~(k)&(~(k)>(k>k)))) | ((k&((k|k)>~(k)))|((k|k)|k)) | 1 | 0 | 1 | 1 | entailment |
~(((~((k&(k|k)))>((k|k)|k))|k)) | (((k>k)|k)>~(k)) | 1 | 1 | 1 | 0 | entailment |
~((~(k)&(~(k)>(k>k)))) | (((k>k)|k)>~(k)) | 0 | 1 | 1 | 1 | not entailment |
~(((~((k&(k|k)))>((k|k)|k))|k)) | ((k&((k|k)>~(k)))|((k|k)|k)) | 0 | 1 | 1 | 0 | not entailment |
~(((k>((k|k)&k))&~((k&(k|k))))) | (((k|(k>k))&k)&((k>(k>k))|k)) | 1 | 1 | 1 | 1 | entailment |
~((((k&(k|k))>(k>k))>k)) | ~((k&(k&k))) | 1 | 1 | 1 | 1 | entailment |
~(((k>((k|k)&k))&~((k&(k|k))))) | ~((k&(k&k))) | 0 | 1 | 1 | 1 | not entailment |
~((((k&(k|k))>(k>k))>k)) | (((k|(k>k))&k)&((k>(k>k))|k)) | 0 | 0 | 1 | 1 | not entailment |
((((k|~(k))>(k|k))|(~(k)|k))&k) | ((k|((k&k)|k))&k) | 1 | 1 | 1 | 1 | entailment |
~((k&k)) | (~(k)&((k&(k>k))>k)) | 1 | 0 | 1 | 0 | entailment |
((((k|~(k))>(k|k))|(~(k)|k))&k) | (~(k)&((k&(k>k))>k)) | 0 | 1 | 1 | 1 | not entailment |
~((k&k)) | ((k|((k&k)|k))&k) | 0 | 0 | 1 | 0 | not entailment |
(~(~((k|((k&k)&(~(k)>(k&k))))))|k) | (k&((k>k)|((~((k|~((k&k))))>(k>k))>k))) | 1 | 0 | 1 | 0 | entailment |
((k>~(k))|(k&~((k|k)))) | (((k|(k>~(k)))>k)>(k>~(k))) | 1 | 0 | 1 | 1 | entailment |
(~(~((k|((k&k)&(~(k)>(k&k))))))|k) | (((k|(k>~(k)))>k)>(k>~(k))) | 0 | 1 | 1 | 0 | not entailment |
((k>~(k))|(k&~((k|k)))) | (k&((k>k)|((~((k|~((k&k))))>(k>k))>k))) | 0 | 0 | 1 | 1 | not entailment |
(k>~((k|k))) | ~(k) | 1 | 1 | 1 | 1 | entailment |
(~((k&k))>k) | ~(~((k|k))) | 1 | 1 | 1 | 1 | entailment |
(k>~((k|k))) | ~(~((k|k))) | 0 | 1 | 1 | 0 | not entailment |
(~((k&k))>k) | ~(k) | 0 | 1 | 1 | 0 | not entailment |
((u|u)&i) | (~(((d&(m>d))&(u|m)))>u) | 1 | 0 | 0 | 0 | entailment |
((p&m)&l) | (~(h)|m) | 1 | 1 | 0 | 0 | entailment |
((u|u)&i) | (~(h)|m) | 0 | 1 | 0 | 0 | not entailment |
((p&m)&l) | (~(((d&(m>d))&(u|m)))>u) | 0 | 0 | 0 | 0 | not entailment |
~(((d|(p&(~((l|p))>(i&u))))|(u|p))) | ~(((((h&i)>i)|(u|d))>~(~(p)))) | 1 | 1 | 0 | 0 | entailment |
(u&d) | ((~((p>l))|h)>((i|u)|((l&d)|m))) | 1 | 0 | 0 | 0 | entailment |
~(((d|(p&(~((l|p))>(i&u))))|(u|p))) | ((~((p>l))|h)>((i|u)|((l&d)|m))) | 0 | 1 | 0 | 0 | not entailment |
(u&d) | ~(((((h&i)>i)|(u|d))>~(~(p)))) | 0 | 0 | 0 | 0 | not entailment |
(((~(u)|m)&u)&l) | (d>(l>m)) | 1 | 1 | 0 | 0 | entailment |
((l>(~(p)>h))&h) | (((h>l)>d)>(~(((m>p)>(i>m)))|h)) | 1 | 0 | 0 | 0 | entailment |
(((~(u)|m)&u)&l) | (((h>l)>d)>(~(((m>p)>(i>m)))|h)) | 0 | 0 | 0 | 0 | not entailment |
((l>(~(p)>h))&h) | (d>(l>m)) | 0 | 1 | 0 | 0 | not entailment |
(~((i&l))&i) | (d>(h|i)) | 1 | 1 | 0 | 0 | entailment |
(~((((i|i)|h)|u))&~((p>(u|(i&h))))) | ~(i) | 1 | 1 | 1 | 1 | entailment |
(~((i&l))&i) | ~(i) | 0 | 1 | 1 | 1 | not entailment |
(~((((i|i)|h)|u))&~((p>(u|(i&h))))) | (d>(h|i)) | 0 | 1 | 0 | 0 | not entailment |
(~((d|d))&i) | ((d>p)|(~(h)&(l|h))) | 1 | 0 | 0 | 0 | entailment |
((m&(h|d))&((u>h)&h)) | (~((l>l))|((~(h)|(p|m))|(((l>i)&u)>m))) | 1 | 0 | 0 | 0 | entailment |
(~((d|d))&i) | (~((l>l))|((~(h)|(p|m))|(((l>i)&u)>m))) | 0 | 0 | 0 | 0 | not entailment |
((m&(h|d))&((u>h)&h)) | ((d>p)|(~(h)&(l|h))) | 0 | 1 | 0 | 0 | not entailment |
((i&~(m))&(((l&i)|u)&p)) | (((m&~(h))|(m>~((l>m))))|l) | 1 | 0 | 0 | 0 | entailment |
(m&p) | ((~(u)&m)|u) | 1 | 0 | 0 | 0 | entailment |
((i&~(m))&(((l&i)|u)&p)) | ((~(u)&m)|u) | 0 | 1 | 1 | 0 | not entailment |
(m&p) | (((m&~(h))|(m>~((l>m))))|l) | 0 | 0 | 0 | 0 | not entailment |
((l&d)&p) | ~((((d|l)|(i&h))&~(l))) | 1 | 0 | 0 | 0 | entailment |
~(((((~(~(l))>~(d))>(u>l))|d)|d)) | ((~(l)|(((i|h)>((h|p)>~(h)))>h))&u) | 1 | 1 | 0 | 0 | entailment |
((l&d)&p) | ((~(l)|(((i|h)>((h|p)>~(h)))>h))&u) | 0 | 0 | 0 | 0 | not entailment |
~(((((~(~(l))>~(d))>(u>l))|d)|d)) | ~((((d|l)|(i&h))&~(l))) | 0 | 1 | 0 | 0 | not entailment |
((i&(p>m))&u) | ((i|u)|m) | 1 | 1 | 1 | 1 | entailment |
~((l>m)) | (~(~(((i>l)|m)))|(d>h)) | 1 | 0 | 0 | 0 | entailment |
((i&(p>m))&u) | (~(~(((i>l)|m)))|(d>h)) | 0 | 0 | 0 | 0 | not entailment |
~((l>m)) | ((i|u)|m) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(m))>p)) | ~((((d|(m&i))>p)&((h|(i&p))&~((i|m))))) | 1 | 0 | 0 | 0 | entailment |
(~((~(d)>l))&((d>l)>u)) | (((~(d)&l)>h)|i) | 1 | 1 | 0 | 0 | entailment |
~((~(~(m))>p)) | (((~(d)&l)>h)|i) | 0 | 1 | 0 | 0 | not entailment |
(~((~(d)>l))&((d>l)>u)) | ~((((d|(m&i))>p)&((h|(i&p))&~((i|m))))) | 0 | 0 | 0 | 0 | not entailment |
(h&(l&u)) | (p>((l|(h>(u>m)))&l)) | 1 | 0 | 0 | 0 | entailment |
~(~(((p&(h|p))&h))) | (l>p) | 1 | 1 | 0 | 0 | entailment |
(h&(l&u)) | (l>p) | 0 | 1 | 0 | 0 | not entailment |
~(~(((p&(h|p))&h))) | (p>((l|(h>(u>m)))&l)) | 0 | 1 | 0 | 0 | not entailment |
((p&(h|h))&(d&(i&l))) | ((u&(((((l&h)|l)|(p|u))>m)&(m>l)))>i) | 1 | 0 | 0 | 0 | entailment |
((u>(d|u))>u) | ((~((~(u)&((i&(l&u))>(h>m))))>(l&i))>u) | 1 | 0 | 0 | 0 | entailment |
((p&(h|h))&(d&(i&l))) | ((~((~(u)&((i&(l&u))>(h>m))))>(l&i))>u) | 0 | 0 | 0 | 0 | not entailment |
((u>(d|u))>u) | ((u&(((((l&h)|l)|(p|u))>m)&(m>l)))>i) | 0 | 0 | 0 | 0 | not entailment |
(p|p) | (u>p) | 1 | 1 | 0 | 0 | entailment |
((((d&(l>u))&~(((p>i)&m)))|m)&~(m)) | (((d|m)>(i&u))>((d&u)|((m|(h|h))&h))) | 1 | 1 | 0 | 0 | entailment |
(p|p) | (((d|m)>(i&u))>((d&u)|((m|(h|h))&h))) | 0 | 0 | 0 | 0 | not entailment |
((((d&(l>u))&~(((p>i)&m)))|m)&~(m)) | (u>p) | 0 | 1 | 1 | 0 | not entailment |
(~((u|l))&((l>(i&h))>(h|h))) | (((m>h)>((u>p)>h))|d) | 1 | 1 | 0 | 0 | entailment |
~((m|(i>(l&m)))) | ~((h&m)) | 1 | 1 | 0 | 0 | entailment |
(~((u|l))&((l>(i&h))>(h|h))) | ~((h&m)) | 0 | 1 | 0 | 0 | not entailment |
~((m|(i>(l&m)))) | (((m>h)>((u>p)>h))|d) | 0 | 0 | 0 | 0 | not entailment |
((~((l>i))|(h&~(d)))&~(~((p&i)))) | (p|(l>i)) | 1 | 1 | 1 | 0 | entailment |
~(~(~((d>~(((~(m)&((h&d)>l))>u)))))) | ~((~(d)&(u|m))) | 1 | 1 | 1 | 0 | entailment |
((~((l>i))|(h&~(d)))&~(~((p&i)))) | ~((~(d)&(u|m))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((d>~(((~(m)&((h&d)>l))>u)))))) | (p|(l>i)) | 0 | 1 | 0 | 0 | not entailment |
(~(p)&(((p&~(~(i)))&(l>m))|i)) | (l>i) | 1 | 1 | 1 | 1 | entailment |
(u&d) | (d&((h>((h|(p&l))&u))|i)) | 1 | 0 | 0 | 0 | entailment |
(~(p)&(((p&~(~(i)))&(l>m))|i)) | (d&((h>((h|(p&l))&u))|i)) | 0 | 1 | 0 | 0 | not entailment |
(u&d) | (l>i) | 0 | 1 | 0 | 0 | not entailment |
((i|p)&~((~((m>m))|((i>(p&d))>~(h))))) | (m>p) | 1 | 1 | 1 | 1 | entailment |
((~(p)>((h>l)>i))&i) | (l>(l&i)) | 1 | 1 | 1 | 0 | entailment |
((i|p)&~((~((m>m))|((i>(p&d))>~(h))))) | (l>(l&i)) | 0 | 1 | 0 | 0 | not entailment |
((~(p)>((h>l)>i))&i) | (m>p) | 0 | 1 | 0 | 0 | not entailment |
(d|p) | ((d|p)|((((~(i)>h)&(i|p))|i)>l)) | 1 | 0 | 0 | 0 | entailment |
~(((u|m)|u)) | ((m|(h|h))>(i|h)) | 1 | 0 | 0 | 0 | entailment |
(d|p) | ((m|(h|h))>(i|h)) | 0 | 0 | 0 | 0 | not entailment |
~(((u|m)|u)) | ((d|p)|((((~(i)>h)&(i|p))|i)>l)) | 0 | 0 | 0 | 0 | not entailment |
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