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&r) | (q>r) | 1 | 1 | 0 | 0 | entailment |
~((~(j)>(((s>e)>y)|y))) | ((j&q)>((s|s)>~((u|y)))) | 1 | 1 | 0 | 0 | entailment |
(s&r) | ((j&q)>((s|s)>~((u|y)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(j)>(((s>e)>y)|y))) | (q>r) | 0 | 1 | 0 | 0 | not entailment |
(((q>y)&(u&i))&(~((j>e))|i)) | ~((((r&(i>(r>j)))&(j|e))&~((u|s)))) | 1 | 0 | 0 | 0 | entailment |
(((~(u)|u)&j)&e) | ((s|(i&q))|(j|j)) | 1 | 1 | 0 | 0 | entailment |
(((q>y)&(u&i))&(~((j>e))|i)) | ((s|(i&q))|(j|j)) | 0 | 1 | 0 | 0 | not entailment |
(((~(u)|u)&j)&e) | ~((((r&(i>(r>j)))&(j|e))&~((u|s)))) | 0 | 0 | 0 | 0 | not entailment |
((u|u)&(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)>u)) | 1 | 1 | 1 | 1 | entailment |
((u|u)&(u|u)) | ~(((u>u)>u)) | 0 | 1 | 1 | 0 | not entailment |
(((~(u)&((u&u)&(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 | 0 | 1 | 1 | entailment |
((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))))) | 0 | 0 | 1 | 0 | not entailment |
((u>~(u))|((u&u)&~((u>u)))) | ~((~((u|u))|(u>~(u)))) | 0 | 1 | 1 | 1 | not entailment |
((u&(u|u))&(u|u)) | (u|u) | 1 | 1 | 1 | 1 | entailment |
~(u) | (u>~((~(((u&u)&u))>u))) | 1 | 0 | 1 | 1 | entailment |
((u&(u|u))&(u|u)) | (u>~((~(((u&u)&u))>u))) | 0 | 0 | 1 | 0 | not entailment |
~(u) | (u|u) | 0 | 1 | 1 | 0 | not entailment |
((m>m)&m) | ((m>m)>m) | 1 | 1 | 1 | 1 | entailment |
((m|m)>~(m)) | ~(~(~((~(((~(m)|m)&~((m&m))))&m)))) | 1 | 0 | 1 | 0 | entailment |
((m>m)&m) | ~(~(~((~(((~(m)|m)&~((m&m))))&m)))) | 0 | 0 | 1 | 1 | not entailment |
((m|m)>~(m)) | ((m>m)>m) | 0 | 1 | 1 | 0 | not entailment |
(((m|m)|(m|m))&(m&(~(m)>m))) | ((m&m)|m) | 1 | 1 | 1 | 1 | entailment |
~((((m|m)&m)&m)) | ~(m) | 1 | 1 | 1 | 1 | entailment |
(((m|m)|(m|m))&(m&(~(m)>m))) | ~(m) | 0 | 1 | 1 | 0 | not entailment |
~((((m|m)&m)&m)) | ((m&m)|m) | 0 | 1 | 1 | 0 | not entailment |
(((((m|m)&m)|m)>(m>m))>m) | ((m>(~((m&m))&m))>(((m|(m>m))&m)&m)) | 1 | 0 | 1 | 1 | entailment |
~(m) | ~(m) | 1 | 1 | 1 | 1 | entailment |
(((((m|m)&m)|m)>(m>m))>m) | ~(m) | 0 | 1 | 1 | 1 | not entailment |
~(m) | ((m>(~((m&m))&m))>(((m|(m>m))&m)&m)) | 0 | 0 | 1 | 0 | not entailment |
((~(m)>m)&m) | ~(~((((m>m)|m)&m))) | 1 | 0 | 1 | 0 | entailment |
~((m&(m&m))) | ~(m) | 1 | 1 | 1 | 1 | entailment |
((~(m)>m)&m) | ~(m) | 0 | 1 | 1 | 0 | not entailment |
~((m&(m&m))) | ~(~((((m>m)|m)&m))) | 0 | 0 | 1 | 0 | not entailment |
(m&~(~((m|m)))) | (~(~((~(m)>(m>m))))>((m&m)|m)) | 1 | 0 | 1 | 0 | entailment |
((m&(m>m))>(m>~(m))) | ~((m|((m>m)&(m|(m|m))))) | 1 | 0 | 1 | 1 | entailment |
(m&~(~((m|m)))) | ~((m|((m>m)&(m|(m|m))))) | 0 | 0 | 1 | 0 | not entailment |
((m&(m>m))>(m>~(m))) | (~(~((~(m)>(m>m))))>((m&m)|m)) | 0 | 0 | 1 | 1 | not entailment |
(m|m) | (m&(m|((m>~(m))&m))) | 1 | 0 | 1 | 0 | entailment |
~(m) | ((~(m)&~(m))&~(m)) | 1 | 0 | 1 | 1 | entailment |
(m|m) | ((~(m)&~(m))&~(m)) | 0 | 0 | 1 | 0 | not entailment |
~(m) | (m&(m|((m>~(m))&m))) | 0 | 0 | 1 | 0 | not entailment |
(((l>(l&e))|~(n))>(l|l)) | (l|~((((e>e)&(i>i))|n))) | 1 | 1 | 0 | 0 | entailment |
(e&n) | ((~(e)&~((~(i)>((d>l)>(d|d)))))|(i|n)) | 1 | 0 | 0 | 0 | entailment |
(((l>(l&e))|~(n))>(l|l)) | ((~(e)&~((~(i)>((d>l)>(d|d)))))|(i|n)) | 0 | 0 | 0 | 0 | not entailment |
(e&n) | (l|~((((e>e)&(i>i))|n))) | 0 | 0 | 0 | 0 | not entailment |
~((~((i>(l>e)))>~(((e&d)>((e&e)&l))))) | ((d>n)|((d&i)|(n|~((i>(e|n)))))) | 1 | 1 | 0 | 0 | entailment |
(((l&e)|(~(d)&i))&((d|d)|d)) | (((i>d)>(e|d))&((l|l)>(d|d))) | 1 | 1 | 1 | 0 | entailment |
~((~((i>(l>e)))>~(((e&d)>((e&e)&l))))) | (((i>d)>(e|d))&((l|l)>(d|d))) | 0 | 1 | 1 | 0 | not entailment |
(((l&e)|(~(d)&i))&((d|d)|d)) | ((d>n)|((d&i)|(n|~((i>(e|n)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((i>l))&((e&d)&(i&e))) | ~(~(((i>(e>i))>e))) | 1 | 1 | 1 | 0 | entailment |
(~(((e&(~((n|d))|e))|e))&(l&n)) | (n&n) | 1 | 1 | 1 | 1 | entailment |
(~((i>l))&((e&d)&(i&e))) | (n&n) | 0 | 1 | 0 | 0 | not entailment |
(~(((e&(~((n|d))|e))|e))&(l&n)) | ~(~(((i>(e>i))>e))) | 0 | 1 | 0 | 0 | not entailment |
(((d&e)>(d|l))&e) | (((l|d)>e)|(l&l)) | 1 | 1 | 1 | 0 | entailment |
((n&n)|(~(((i|e)&l))&~(d))) | ((i>(d>n))|~((~(d)>(d>((n&(e|d))&n))))) | 1 | 0 | 1 | 0 | entailment |
(((d&e)>(d|l))&e) | ((i>(d>n))|~((~(d)>(d>((n&(e|d))&n))))) | 0 | 0 | 0 | 0 | not entailment |
((n&n)|(~(((i|e)&l))&~(d))) | (((l|d)>e)|(l&l)) | 0 | 1 | 1 | 0 | not entailment |
((n|i)&((e&~(i))&(i>e))) | ((n|(~((n|~(d)))&(l>l)))|i) | 1 | 0 | 0 | 0 | entailment |
~((n|n)) | ~((e&n)) | 1 | 1 | 0 | 0 | entailment |
((n|i)&((e&~(i))&(i>e))) | ~((e&n)) | 0 | 1 | 1 | 0 | not entailment |
~((n|n)) | ((n|(~((n|~(d)))&(l>l)))|i) | 0 | 0 | 0 | 0 | not entailment |
~(((~(d)&((~(i)&d)|n))>((n&l)>i))) | (d|(n|d)) | 1 | 1 | 1 | 1 | entailment |
((e>(e&l))&(i&~(e))) | ((i|d)|~(~(((l&(e>n))>((n>(e>i))&n))))) | 1 | 0 | 0 | 0 | entailment |
~(((~(d)&((~(i)&d)|n))>((n&l)>i))) | ((i|d)|~(~(((l&(e>n))>((n>(e>i))&n))))) | 0 | 0 | 0 | 0 | not entailment |
((e>(e&l))&(i&~(e))) | (d|(n|d)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((i&n)))|d)) | ((~(d)|~((n>e)))|i) | 1 | 1 | 0 | 0 | entailment |
(d&((e&(e&l))&d)) | (i>(i>((i&d)|e))) | 1 | 1 | 0 | 0 | entailment |
~((~(~((i&n)))|d)) | (i>(i>((i&d)|e))) | 0 | 1 | 0 | 0 | not entailment |
(d&((e&(e&l))&d)) | ((~(d)|~((n>e)))|i) | 0 | 0 | 0 | 0 | not entailment |
((i&l)&((d|d)>(~((((n&i)>n)&n))&d))) | ((l>d)>(i|l)) | 1 | 1 | 1 | 1 | entailment |
(d|(((i|d)&~(((e|d)>i)))|d)) | ~((((n&n)>n)>~((n|(e>d))))) | 1 | 1 | 0 | 0 | entailment |
((i&l)&((d|d)>(~((((n&i)>n)&n))&d))) | ~((((n&n)>n)>~((n|(e>d))))) | 0 | 1 | 0 | 0 | not entailment |
(d|(((i|d)&~(((e|d)>i)))|d)) | ((l>d)>(i|l)) | 0 | 1 | 0 | 0 | not entailment |
(n&i) | (~((e>n))>~(i)) | 1 | 0 | 0 | 0 | entailment |
(d&(~(n)&((n&(l&d))|e))) | (~((~(~(l))|l))|(l>((e&d)&(d|i)))) | 1 | 0 | 0 | 0 | entailment |
(n&i) | (~((~(~(l))|l))|(l>((e&d)&(d|i)))) | 0 | 0 | 0 | 0 | not entailment |
(d&(~(n)&((n&(l&d))|e))) | (~((e>n))>~(i)) | 0 | 1 | 0 | 0 | not entailment |
((l>d)&~((i>(l>e)))) | (~(~(((n&e)&~(n))))|~(~((d|l)))) | 1 | 0 | 0 | 0 | entailment |
(((e>~(d))>~(~(e)))&n) | ((n>e)>n) | 1 | 1 | 1 | 0 | entailment |
((l>d)&~((i>(l>e)))) | ((n>e)>n) | 0 | 1 | 0 | 0 | not entailment |
(((e>~(d))>~(~(e)))&n) | (~(~(((n&e)&~(n))))|~(~((d|l)))) | 0 | 0 | 0 | 0 | not entailment |
(~((l&d))>(l&d)) | ((d|d)&d) | 1 | 1 | 1 | 1 | entailment |
(~((d|(l|(e>n))))&(l>(l>i))) | ~(~((e&e))) | 1 | 1 | 1 | 1 | entailment |
(~((l&d))>(l&d)) | ~(~((e&e))) | 0 | 1 | 0 | 0 | not entailment |
(~((d|(l|(e>n))))&(l>(l>i))) | ((d|d)&d) | 0 | 1 | 1 | 0 | not entailment |
(i&~(l)) | (l>d) | 1 | 1 | 0 | 0 | entailment |
(n&((n&l)>(~(i)&n))) | ((~(n)>(l>l))>n) | 1 | 1 | 1 | 0 | entailment |
(i&~(l)) | ((~(n)>(l>l))>n) | 0 | 0 | 0 | 0 | not entailment |
(n&((n&l)>(~(i)&n))) | (l>d) | 0 | 1 | 0 | 0 | not entailment |
(d&n) | ((~(d)>((n>n)|i))&d) | 1 | 0 | 0 | 0 | entailment |
(~(((i&l)>(i>d)))&(i>e)) | (e|l) | 1 | 1 | 1 | 1 | entailment |
(d&n) | (e|l) | 0 | 1 | 0 | 0 | not entailment |
(~(((i&l)>(i>d)))&(i>e)) | ((~(d)>((n>n)|i))&d) | 0 | 1 | 0 | 0 | not entailment |
(i&((d|i)>(e&~(~((d&n)))))) | (e&e) | 1 | 1 | 1 | 1 | entailment |
(~((d>(i>n)))&(~((n|e))|(((l&l)&n)|n))) | ((e|n)>~(l)) | 1 | 1 | 1 | 0 | entailment |
(i&((d|i)>(e&~(~((d&n)))))) | ((e|n)>~(l)) | 0 | 1 | 0 | 0 | not entailment |
(~((d>(i>n)))&(~((n|e))|(((l&l)&n)|n))) | (e&e) | 0 | 1 | 1 | 0 | not entailment |
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