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>~(y))))|(j>j))&u) | (((((a>a)&j)>u)&(u|a))|(a>u)) | 1 | 1 | 0 | 0 | entailment |
((((u&m)|m)&y)&((~(u)|j)&j)) | (((((a>a)&j)>u)&(u|a))|(a>u)) | 0 | 1 | 0 | 0 | not entailment |
((~(~((y>~(y))))|(j>j))&u) | ~(~(~(~(y)))) | 0 | 1 | 1 | 0 | not entailment |
~((m|j)) | (~(((((j>j)>j)&m)|m))|((j&m)>a)) | 1 | 0 | 0 | 0 | entailment |
(~(~((u&m)))&((y&y)&~(a))) | ((a&(~(~(y))&y))>(y&((y&(~(m)&y))>m))) | 1 | 0 | 1 | 0 | entailment |
~((m|j)) | ((a&(~(~(y))&y))>(y&((y&(~(m)&y))>m))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((u&m)))&((y&y)&~(a))) | (~(((((j>j)>j)&m)|m))|((j&m)>a)) | 0 | 0 | 0 | 0 | not entailment |
~((j>(((a>j)|((~(j)&m)&y))&(~(a)|y)))) | ((j|m)|j) | 1 | 1 | 1 | 0 | entailment |
~(~((~(j)&(a&y)))) | (~((y|(y>u)))|((a|(u&(y>u)))>y)) | 1 | 0 | 0 | 0 | entailment |
~((j>(((a>j)|((~(j)&m)&y))&(~(a)|y)))) | (~((y|(y>u)))|((a|(u&(y>u)))>y)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(j)&(a&y)))) | ((j|m)|j) | 0 | 1 | 0 | 0 | not entailment |
((y|(m&m))&(y&j)) | (~((~(a)&~(j)))|((u&(y>y))>j)) | 1 | 0 | 0 | 0 | entailment |
~(y) | ~(y) | 1 | 1 | 1 | 1 | entailment |
((y|(m&m))&(y&j)) | ~(y) | 0 | 1 | 1 | 0 | not entailment |
~(y) | (~((~(a)&~(j)))|((u&(y>y))>j)) | 0 | 0 | 0 | 0 | not entailment |
(((u|y)|((j&u)>(u|y)))&(y|y)) | (~((~(m)&~((a|j))))>(j>y)) | 1 | 1 | 0 | 0 | entailment |
~(((~(((j|m)>((m|m)|y)))>y)|(m&a))) | (((((y>(y>m))&m)|~((a|m)))&(a|j))|j) | 1 | 1 | 1 | 0 | entailment |
(((u|y)|((j&u)>(u|y)))&(y|y)) | (((((y>(y>m))&m)|~((a|m)))&(a|j))|j) | 0 | 0 | 0 | 0 | not entailment |
~(((~(((j|m)>((m|m)|y)))>y)|(m&a))) | (~((~(m)&~((a|j))))>(j>y)) | 0 | 1 | 1 | 0 | not entailment |
(~((u>~(y)))&~(((y&m)>a))) | (u&(y>y)) | 1 | 1 | 1 | 0 | entailment |
(a&((j>a)>y)) | ~(~(a)) | 1 | 1 | 1 | 1 | entailment |
(~((u>~(y)))&~(((y&m)>a))) | ~(~(a)) | 0 | 1 | 1 | 0 | not entailment |
(a&((j>a)>y)) | (u&(y>y)) | 0 | 1 | 0 | 0 | not entailment |
(((a>u)>a)&(~(m)&((y>a)|((u&j)&u)))) | ((m|m)>y) | 1 | 1 | 1 | 0 | entailment |
((u|((m|u)&j))&~(((a&m)>((y>a)&y)))) | ~(((~((j|u))&y)&y)) | 1 | 1 | 1 | 1 | entailment |
(((a>u)>a)&(~(m)&((y>a)|((u&j)&u)))) | ~(((~((j|u))&y)&y)) | 0 | 1 | 1 | 1 | not entailment |
((u|((m|u)&j))&~(((a&m)>((y>a)&y)))) | ((m|m)>y) | 0 | 1 | 1 | 0 | not entailment |
(j&(j|j)) | ((a|a)|j) | 1 | 1 | 0 | 0 | entailment |
(~(((~(m)&j)>((j>j)|m)))|y) | (y|m) | 1 | 1 | 1 | 0 | entailment |
(j&(j|j)) | (y|m) | 0 | 1 | 0 | 0 | not entailment |
(~(((~(m)&j)>((j>j)|m)))|y) | ((a|a)|j) | 0 | 1 | 0 | 0 | not entailment |
((j&a)&(y>~(~((a>j))))) | ~(~(~(((j|y)&~((a|a)))))) | 1 | 0 | 1 | 0 | entailment |
((((a|u)|y)>(~((y>~(a)))|(j&m)))&(j&u)) | ((j|m)>(u|u)) | 1 | 1 | 1 | 0 | entailment |
((j&a)&(y>~(~((a>j))))) | ((j|m)>(u|u)) | 0 | 1 | 0 | 0 | not entailment |
((((a|u)|y)>(~((y>~(a)))|(j&m)))&(j&u)) | ~(~(~(((j|y)&~((a|a)))))) | 0 | 1 | 1 | 0 | not entailment |
((~(~(~(m)))>m)&((j|u)&u)) | (~(~(u))|((m|j)>(a>(u|j)))) | 1 | 1 | 0 | 0 | entailment |
~(((a>((j|j)&a))|u)) | (a|~(~(y))) | 1 | 1 | 0 | 0 | entailment |
((~(~(~(m)))>m)&((j|u)&u)) | (a|~(~(y))) | 0 | 1 | 0 | 0 | not entailment |
~(((a>((j|j)&a))|u)) | (~(~(u))|((m|j)>(a>(u|j)))) | 0 | 0 | 0 | 0 | not entailment |
~((m>((y>a)&((u&u)|a)))) | ~(~((((m|(m|j))|(a|m))|((a&m)&(m>u))))) | 1 | 0 | 0 | 0 | entailment |
(((y|a)>((j|y)&u))&y) | (y|a) | 1 | 1 | 1 | 0 | entailment |
~((m>((y>a)&((u&u)|a)))) | (y|a) | 0 | 1 | 1 | 0 | not entailment |
(((y|a)>((j|y)&u))&y) | ~(~((((m|(m|j))|(a|m))|((a&m)&(m>u))))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(a)|(y&m))|((y>j)&a))) | (u>(~((m|(j>m)))|y)) | 1 | 1 | 0 | 0 | entailment |
(m&(((j|j)&y)>(~(a)&u))) | (y>(m|~((m|((u|y)|((u|j)&j)))))) | 1 | 0 | 1 | 0 | entailment |
~(((~(a)|(y&m))|((y>j)&a))) | (y>(m|~((m|((u|y)|((u|j)&j)))))) | 0 | 0 | 0 | 0 | not entailment |
(m&(((j|j)&y)>(~(a)&u))) | (u>(~((m|(j>m)))|y)) | 0 | 1 | 1 | 0 | not entailment |
(~(m)&~((((j|m)&y)>(j&~((u|u)))))) | ((((((a&u)>(a&y))&((j|a)&j))|~(a))>j)>y) | 1 | 0 | 0 | 0 | entailment |
(~((m>(a&j)))&((j>~(a))&u)) | (m|~((~((y&u))>~(u)))) | 1 | 1 | 0 | 0 | entailment |
(~(m)&~((((j|m)&y)>(j&~((u|u)))))) | (m|~((~((y&u))>~(u)))) | 0 | 1 | 1 | 0 | not entailment |
(~((m>(a&j)))&((j>~(a))&u)) | ((((((a&u)>(a&y))&((j|a)&j))|~(a))>j)>y) | 0 | 0 | 0 | 0 | not entailment |
(((r|t)|a)&((~(d)|q)&q)) | (q|(l&(d|t))) | 1 | 1 | 0 | 0 | entailment |
(r&(r&((u>a)|l))) | ((a&(a|r))>r) | 1 | 1 | 1 | 0 | entailment |
(((r|t)|a)&((~(d)|q)&q)) | ((a&(a|r))>r) | 0 | 1 | 1 | 0 | not entailment |
(r&(r&((u>a)|l))) | (q|(l&(d|t))) | 0 | 1 | 0 | 0 | not entailment |
(q|(d&(((u|b)>~(~((u>r))))>u))) | (~(~(~(d)))>q) | 1 | 1 | 1 | 1 | entailment |
(a&(t&(b&r))) | ((a>q)|(t|(t&(b|(a>r))))) | 1 | 0 | 0 | 0 | entailment |
(q|(d&(((u|b)>~(~((u>r))))>u))) | ((a>q)|(t|(t&(b|(a>r))))) | 0 | 1 | 0 | 0 | not entailment |
(a&(t&(b&r))) | (~(~(~(d)))>q) | 0 | 0 | 0 | 0 | not entailment |
(((q&~(r))&(l&q))&(u|(((a>u)|b)>b))) | (q|t) | 1 | 1 | 0 | 0 | entailment |
(a|a) | ((r>((d&q)>~(~(l))))>a) | 1 | 0 | 0 | 0 | entailment |
(((q&~(r))&(l&q))&(u|(((a>u)|b)>b))) | ((r>((d&q)>~(~(l))))>a) | 0 | 1 | 0 | 0 | not entailment |
(a|a) | (q|t) | 0 | 1 | 0 | 0 | not entailment |
((a&t)&t) | ((b>t)|~((u|~((t&q))))) | 1 | 0 | 0 | 0 | entailment |
((~((u>(a|u)))&(t>(d|r)))|d) | (((r|r)>t)>((q&~(u))|(r|d))) | 1 | 1 | 0 | 0 | entailment |
((a&t)&t) | (((r|r)>t)>((q&~(u))|(r|d))) | 0 | 0 | 0 | 0 | not entailment |
((~((u>(a|u)))&(t>(d|r)))|d) | ((b>t)|~((u|~((t&q))))) | 0 | 1 | 0 | 0 | not entailment |
((((l&q)|a)|r)&(t&(t>r))) | (((t&(b>t))>(t&r))|a) | 1 | 1 | 0 | 0 | entailment |
((a&r)|~(~(~(((((l>q)|a)>(r|d))|a))))) | (~(((t>d)>~((r|d))))>a) | 1 | 1 | 0 | 0 | entailment |
((((l&q)|a)|r)&(t&(t>r))) | (~(((t>d)>~((r|d))))>a) | 0 | 1 | 0 | 0 | not entailment |
((a&r)|~(~(~(((((l>q)|a)>(r|d))|a))))) | (((t&(b>t))>(t&r))|a) | 0 | 1 | 0 | 0 | not entailment |
~(((a>d)>d)) | ~(a) | 1 | 1 | 1 | 1 | entailment |
(~((u>~(a)))&(~(r)|d)) | (r>a) | 1 | 1 | 1 | 1 | entailment |
~(((a>d)>d)) | (r>a) | 0 | 1 | 0 | 0 | not entailment |
(~((u>~(a)))&(~(r)|d)) | ~(a) | 0 | 1 | 1 | 0 | not entailment |
(l>~((((u&r)&r)>u))) | (~((((r|(u&u))|(a&d))|~(d)))>(l>q)) | 1 | 0 | 0 | 0 | entailment |
~((d>t)) | ((d|~((q>q)))|(t|(u|b))) | 1 | 0 | 0 | 0 | entailment |
(l>~((((u&r)&r)>u))) | ((d|~((q>q)))|(t|(u|b))) | 0 | 0 | 0 | 0 | not entailment |
~((d>t)) | (~((((r|(u&u))|(a&d))|~(d)))>(l>q)) | 0 | 0 | 0 | 0 | not entailment |
(((q&d)|(r&u))&((l|a)&(u&r))) | ~(~((u&u))) | 1 | 1 | 1 | 1 | entailment |
((q&t)|(l&a)) | (((r>a)&~((~((d|r))&b)))|~(~((t|b)))) | 1 | 0 | 0 | 0 | entailment |
(((q&d)|(r&u))&((l|a)&(u&r))) | (((r>a)&~((~((d|r))&b)))|~(~((t|b)))) | 0 | 0 | 0 | 0 | not entailment |
((q&t)|(l&a)) | ~(~((u&u))) | 0 | 1 | 0 | 0 | not entailment |
(b&(u&a)) | (t|u) | 1 | 1 | 0 | 0 | entailment |
((~((a>l))>d)>(~((r>(b|(d&~(l)))))&d)) | (l>(q|r)) | 1 | 1 | 0 | 0 | entailment |
(b&(u&a)) | (l>(q|r)) | 0 | 1 | 0 | 0 | not entailment |
((~((a>l))>d)>(~((r>(b|(d&~(l)))))&d)) | (t|u) | 0 | 1 | 0 | 0 | not entailment |
(a&(u&t)) | ((~(~(d))|u)|(l>d)) | 1 | 0 | 0 | 0 | entailment |
(~(~((~(r)&r)))|(q&b)) | (~((a&q))|(l|b)) | 1 | 1 | 0 | 0 | entailment |
(a&(u&t)) | (~((a&q))|(l|b)) | 0 | 0 | 0 | 0 | not entailment |
(~(~((~(r)&r)))|(q&b)) | ((~(~(d))|u)|(l>d)) | 0 | 1 | 0 | 0 | not entailment |
(((d|a)&u)&((b&r)&(u&~((u&q))))) | (((b&u)&~(((d|a)|d)))|(q>l)) | 1 | 1 | 0 | 0 | entailment |
(b&t) | ((~((a>d))|q)|t) | 1 | 0 | 0 | 0 | entailment |
(((d|a)&u)&((b&r)&(u&~((u&q))))) | ((~((a>d))|q)|t) | 0 | 1 | 0 | 0 | not entailment |
(b&t) | (((b&u)&~(((d|a)|d)))|(q>l)) | 0 | 0 | 0 | 0 | not entailment |
(~(d)&(l|d)) | ((q|l)|(d>r)) | 1 | 1 | 0 | 0 | entailment |
~((t|(a>(l|((r>b)&b))))) | (r|~(((b|(u&(~((t|(b>r)))>t)))&l))) | 1 | 0 | 0 | 0 | entailment |
(~(d)&(l|d)) | (r|~(((b|(u&(~((t|(b>r)))>t)))&l))) | 0 | 0 | 0 | 0 | not entailment |
~((t|(a>(l|((r>b)&b))))) | ((q|l)|(d>r)) | 0 | 1 | 0 | 0 | not entailment |
(((~(q)&b)&(l&b))&(r|q)) | ((d|l)|q) | 1 | 1 | 0 | 0 | entailment |
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