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 |
|---|---|---|---|---|---|---|
(~(d)&(((k|y)>q)|~(~(q)))) | ((d&~(o))>~((k>d))) | 1 | 1 | 0 | 0 | entailment |
(u&y) | (((b&~(~((q>y))))|~((q&y)))>(b>y)) | 1 | 0 | 0 | 0 | entailment |
(~(d)&(((k|y)>q)|~(~(q)))) | (((b&~(~((q>y))))|~((q&y)))>(b>y)) | 0 | 0 | 0 | 0 | not entailment |
(u&y) | ((d&~(o))>~((k>d))) | 0 | 0 | 0 | 0 | not entailment |
(y&(o&(~(~(j))&((o|(o>b))&~((q>k)))))) | ~(~((((b|u)&o)>y))) | 1 | 1 | 0 | 0 | entailment |
~(j) | (~(~((j&~(u))))>d) | 1 | 0 | 0 | 0 | entailment |
(y&(o&(~(~(j))&((o|(o>b))&~((q>k)))))) | (~(~((j&~(u))))>d) | 0 | 1 | 0 | 0 | not entailment |
~(j) | ~(~((((b|u)&o)>y))) | 0 | 0 | 0 | 0 | not entailment |
(j&(k&u)) | (k&((d>((b&q)|((o|o)&q)))|d)) | 1 | 0 | 0 | 0 | entailment |
(q&(~(o)&d)) | ((y|u)>~((~(d)&y))) | 1 | 0 | 0 | 0 | entailment |
(j&(k&u)) | ((y|u)>~((~(d)&y))) | 0 | 0 | 0 | 0 | not entailment |
(q&(~(o)&d)) | (k&((d>((b&q)|((o|o)&q)))|d)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~((~(~((d&(y|d))))&u))|b)))) | (b>d) | 1 | 1 | 1 | 1 | entailment |
((~(d)&(b>j))&(u&(((j&d)>q)&u))) | ~(((q|(u&y))&(d|d))) | 1 | 1 | 0 | 0 | entailment |
~(~(~((~((~(~((d&(y|d))))&u))|b)))) | ~(((q|(u&y))&(d|d))) | 0 | 1 | 0 | 0 | not entailment |
((~(d)&(b>j))&(u&(((j&d)>q)&u))) | (b>d) | 0 | 1 | 1 | 0 | not entailment |
~(((u&~(y))>q)) | (~(((j&(b|d))>(d|u)))>(y>u)) | 1 | 0 | 0 | 0 | entailment |
(~(k)>((y&y)&k)) | ((~((~(~((k|k)))>q))|q)|k) | 1 | 0 | 0 | 0 | entailment |
~(((u&~(y))>q)) | ((~((~(~((k|k)))>q))|q)|k) | 0 | 0 | 0 | 0 | not entailment |
(~(k)>((y&y)&k)) | (~(((j&(b|d))>(d|u)))>(y>u)) | 0 | 0 | 0 | 0 | not entailment |
~((~(j)>(((k|q)&b)&j))) | ~(~((((b&k)|(o|(u>k)))>((j|j)>d)))) | 1 | 0 | 0 | 0 | entailment |
((o|y)>(~(u)&u)) | ~((((b>b)&y)&k)) | 1 | 1 | 0 | 0 | entailment |
~((~(j)>(((k|q)&b)&j))) | ~((((b>b)&y)&k)) | 0 | 1 | 0 | 0 | not entailment |
((o|y)>(~(u)&u)) | ~(~((((b&k)|(o|(u>k)))>((j|j)>d)))) | 0 | 0 | 0 | 0 | not entailment |
(y&~(((k|(y>~(o)))|b))) | ((u&((u&(y>o))|u))|((o|k)|(~(j)|(b&y)))) | 1 | 0 | 0 | 0 | entailment |
~(((u|(d|k))&~((u&(y|q))))) | ((k|(o>d))>(u|(d>j))) | 1 | 1 | 0 | 0 | entailment |
(y&~(((k|(y>~(o)))|b))) | ((k|(o>d))>(u|(d>j))) | 0 | 1 | 0 | 0 | not entailment |
~(((u|(d|k))&~((u&(y|q))))) | ((u&((u&(y>o))|u))|((o|k)|(~(j)|(b&y)))) | 0 | 0 | 0 | 0 | not entailment |
(~((j|k))&~(u)) | ~((u&~((~(u)|~((k&(j>(b&k)))))))) | 1 | 0 | 0 | 0 | entailment |
~((j>o)) | (o>~(~(j))) | 1 | 0 | 1 | 1 | entailment |
(~((j|k))&~(u)) | (o>~(~(j))) | 0 | 1 | 0 | 0 | not entailment |
~((j>o)) | ~((u&~((~(u)|~((k&(j>(b&k)))))))) | 0 | 0 | 0 | 0 | not entailment |
(~(((d>o)|u))&~((q|q))) | ((q|(b|~((q>b))))>(u>~(b))) | 1 | 0 | 0 | 0 | entailment |
((k&y)&(b>b)) | (~(~((q>y)))&(k|j)) | 1 | 0 | 0 | 0 | entailment |
(~(((d>o)|u))&~((q|q))) | (~(~((q>y)))&(k|j)) | 0 | 1 | 0 | 0 | not entailment |
((k&y)&(b>b)) | ((q|(b|~((q>b))))>(u>~(b))) | 0 | 0 | 0 | 0 | not entailment |
(k&((d>b)>((u>(k>(d|(u|b))))|b))) | (b>(k&(k|((u|(q&k))|~((y&d)))))) | 1 | 1 | 0 | 0 | entailment |
~((y>((q|o)&o))) | (~((j>(q|d)))|~((o&((j|b)|j)))) | 1 | 0 | 0 | 0 | entailment |
(k&((d>b)>((u>(k>(d|(u|b))))|b))) | (~((j>(q|d)))|~((o&((j|b)|j)))) | 0 | 1 | 0 | 0 | not entailment |
~((y>((q|o)&o))) | (b>(k&(k|((u|(q&k))|~((y&d)))))) | 0 | 0 | 0 | 0 | not entailment |
(y&(l&(y&l))) | (m|l) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((l&l)|((y>(m>y))>(l|y)))))) | (~(~((~(((l&y)&m))>l)))>m) | 1 | 1 | 1 | 0 | entailment |
(y&(l&(y&l))) | (~(~((~(((l&y)&m))>l)))>m) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((l&l)|((y>(m>y))>(l|y)))))) | (m|l) | 0 | 1 | 1 | 0 | not entailment |
~(((l>(l>(l&(l>(~(l)&l)))))|(y&m))) | (l|((m>l)|(l|y))) | 1 | 1 | 1 | 0 | entailment |
(~((l&(m&l)))>~(~(~((((m|y)&l)|l))))) | ((l>~(l))|((l>m)|y)) | 1 | 1 | 1 | 0 | entailment |
~(((l>(l>(l&(l>(~(l)&l)))))|(y&m))) | ((l>~(l))|((l>m)|y)) | 0 | 1 | 1 | 0 | not entailment |
(~((l&(m&l)))>~(~(~((((m|y)&l)|l))))) | (l|((m>l)|(l|y))) | 0 | 1 | 1 | 0 | not entailment |
~((l>~((l>y)))) | (y|(m&((y>l)&l))) | 1 | 1 | 0 | 0 | entailment |
(l>((l|l)&((~(y)&y)&(y&y)))) | ~((y&(~((((y|(y|l))|~(y))&l))>(y>l)))) | 1 | 0 | 1 | 1 | entailment |
~((l>~((l>y)))) | ~((y&(~((((y|(y|l))|~(y))&l))>(y>l)))) | 0 | 0 | 1 | 0 | not entailment |
(l>((l|l)&((~(y)&y)&(y&y)))) | (y|(m&((y>l)&l))) | 0 | 1 | 0 | 0 | not entailment |
~((y>l)) | ((~(m)|((~(l)&(l|(l>y)))>~(l)))>(m|y)) | 1 | 0 | 0 | 0 | entailment |
(((l|(y|l))&l)|(m|m)) | (((l&l)|m)&(m|(l|y))) | 1 | 1 | 1 | 1 | entailment |
~((y>l)) | (((l&l)|m)&(m|(l|y))) | 0 | 0 | 0 | 0 | not entailment |
(((l|(y|l))&l)|(m|m)) | ((~(m)|((~(l)&(l|(l>y)))>~(l)))>(m|y)) | 0 | 0 | 1 | 0 | not entailment |
~((m>y)) | ((((y>m)|m)|~((~(y)|y)))&(l>l)) | 1 | 0 | 0 | 0 | entailment |
~((m|~(~((~(y)|l))))) | ~((y>m)) | 1 | 1 | 1 | 1 | entailment |
~((m>y)) | ~((y>m)) | 0 | 1 | 1 | 0 | not entailment |
~((m|~(~((~(y)|l))))) | ((((y>m)|m)|~((~(y)|y)))&(l>l)) | 0 | 0 | 1 | 0 | not entailment |
(((l|y)&(~((y>l))>l))|(y&~(l))) | ((y|(m>~(y)))&(y|l)) | 1 | 1 | 0 | 0 | entailment |
(y|~(~(m))) | (~((~(m)>(~(m)>(m>(y|m)))))|((l>y)|m)) | 1 | 0 | 0 | 0 | entailment |
(((l|y)&(~((y>l))>l))|(y&~(l))) | (~((~(m)>(~(m)>(m>(y|m)))))|((l>y)|m)) | 0 | 0 | 0 | 0 | not entailment |
(y|~(~(m))) | ((y|(m>~(y)))&(y|l)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((l&(m|l))&m))) | ((m|(l|m))&(m>m)) | 1 | 1 | 1 | 0 | entailment |
(y|(l&(l&y))) | (y&(m>y)) | 1 | 1 | 0 | 0 | entailment |
~(~(((l&(m|l))&m))) | (y&(m>y)) | 0 | 1 | 0 | 0 | not entailment |
(y|(l&(l&y))) | ((m|(l|m))&(m>m)) | 0 | 0 | 0 | 0 | not entailment |
(~((y>l))|(l&y)) | (~((y|y))>l) | 1 | 1 | 1 | 1 | entailment |
~(~(m)) | ((~(y)&m)|m) | 1 | 0 | 0 | 0 | entailment |
(~((y>l))|(l&y)) | ((~(y)&m)|m) | 0 | 1 | 0 | 0 | not entailment |
~(~(m)) | (~((y|y))>l) | 0 | 0 | 0 | 0 | not entailment |
(m|(~(l)&y)) | ((m>m)&((~(m)>(y|l))|m)) | 1 | 0 | 1 | 0 | entailment |
~((((m&m)|m)|(l&y))) | ~((y&(m|l))) | 1 | 1 | 1 | 1 | entailment |
(m|(~(l)&y)) | ~((y&(m|l))) | 0 | 1 | 1 | 0 | not entailment |
~((((m&m)|m)|(l&y))) | ((m>m)&((~(m)>(y|l))|m)) | 0 | 0 | 1 | 0 | not entailment |
(((m>l)&((y>y)|l))>m) | (m&m) | 1 | 1 | 1 | 1 | entailment |
~((y>(((y&l)>m)>m))) | (((~((y&y))>m)>((y>((l&y)&y))>l))|y) | 1 | 0 | 1 | 0 | entailment |
(((m>l)&((y>y)|l))>m) | (((~((y&y))>m)>((y>((l&y)&y))>l))|y) | 0 | 0 | 1 | 0 | not entailment |
~((y>(((y&l)>m)>m))) | (m&m) | 0 | 1 | 1 | 1 | not entailment |
((y|(m>y))>(~(((l&l)>y))&((l&y)|m))) | (((y&(m|(l>l)))&m)>~((y>(l>m)))) | 1 | 1 | 1 | 0 | entailment |
(m&l) | ~(~(l)) | 1 | 0 | 1 | 1 | entailment |
((y|(m>y))>(~(((l&l)>y))&((l&y)|m))) | ~(~(l)) | 0 | 1 | 1 | 1 | not entailment |
(m&l) | (((y&(m|(l>l)))&m)>~((y>(l>m)))) | 0 | 0 | 0 | 0 | not entailment |
(y&(((l|((l&m)|(y&(l>m))))|l)&(l|l))) | (~(((y|l)|m))>(~(l)>(l&l))) | 1 | 1 | 1 | 1 | entailment |
(~(m)&~(((y|y)&(y&~((l>(y&~(m)))))))) | ~((m&m)) | 1 | 1 | 1 | 1 | entailment |
(y&(((l|((l&m)|(y&(l>m))))|l)&(l|l))) | ~((m&m)) | 0 | 1 | 1 | 0 | not entailment |
(~(m)&~(((y|y)&(y&~((l>(y&~(m)))))))) | (~(((y|l)|m))>(~(l)>(l&l))) | 0 | 1 | 1 | 0 | not entailment |
(l&m) | ((y|m)|(y&(m&y))) | 1 | 0 | 0 | 0 | entailment |
(l&(m>((m|l)>((m|m)>~(l))))) | ((m>~(l))&(y>y)) | 1 | 1 | 0 | 0 | entailment |
(l&m) | ((m>~(l))&(y>y)) | 0 | 0 | 0 | 0 | not entailment |
(l&(m>((m|l)>((m|m)>~(l))))) | ((y|m)|(y&(m&y))) | 0 | 1 | 0 | 0 | not entailment |
~(((f|((x|f)&l))>~(~((z|~(r)))))) | (~(~((~(r)|l)))|~(z)) | 1 | 1 | 1 | 0 | entailment |
~((l|(x&x))) | ((l>(n&x))|((~(n)>z)>x)) | 1 | 0 | 0 | 0 | entailment |
~(((f|((x|f)&l))>~(~((z|~(r)))))) | ((l>(n&x))|((~(n)>z)>x)) | 0 | 1 | 0 | 0 | not entailment |
~((l|(x&x))) | (~(~((~(r)|l)))|~(z)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~(((x|l)&(l|r)))))&(z>n)) | ((l>~(l))|~((x>(z>f)))) | 1 | 1 | 0 | 0 | entailment |
((n&((n&f)&(~(z)>r)))&~(z)) | (~(f)>(z&z)) | 1 | 1 | 1 | 1 | entailment |
(~(~(~(((x|l)&(l|r)))))&(z>n)) | (~(f)>(z&z)) | 0 | 1 | 0 | 0 | not entailment |
((n&((n&f)&(~(z)>r)))&~(z)) | ((l>~(l))|~((x>(z>f)))) | 0 | 1 | 0 | 0 | not entailment |
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