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 |
|---|---|---|---|---|---|---|
~((j>y)) | ((~(q)>(r&h))|((q|(j|r))|(v|q))) | 1 | 0 | 0 | 0 | entailment |
((y|h)&(~(v)&((((v&y)&~(j))|y)>(h>r)))) | ((~(q)>(r&h))|((q|(j|r))|(v|q))) | 0 | 1 | 0 | 0 | not entailment |
~((j>y)) | (~(((r|~(~((h>v))))&(j>((q>y)|y))))>h) | 0 | 0 | 0 | 0 | not entailment |
((r&q)|((~(v)&~((l&q)))&~((q|~(v))))) | (~(q)>((~(q)>(j>y))&~((~(~(v))>v)))) | 1 | 1 | 0 | 0 | entailment |
((h&l)&y) | ((h|v)|(y>j)) | 1 | 0 | 0 | 0 | entailment |
((r&q)|((~(v)&~((l&q)))&~((q|~(v))))) | ((h|v)|(y>j)) | 0 | 1 | 0 | 0 | not entailment |
((h&l)&y) | (~(q)>((~(q)>(j>y))&~((~(~(v))>v)))) | 0 | 0 | 0 | 0 | not entailment |
((b>~(~(b)))&(~((l>m))&(l>b))) | (b|((l|b)&m)) | 1 | 1 | 1 | 0 | entailment |
~((m>l)) | (l>~((((l|l)>b)|(m&m)))) | 1 | 0 | 0 | 0 | entailment |
((b>~(~(b)))&(~((l>m))&(l>b))) | (l>~((((l|l)>b)|(m&m)))) | 0 | 1 | 1 | 1 | not entailment |
~((m>l)) | (b|((l|b)&m)) | 0 | 0 | 0 | 0 | not entailment |
(((b|(l&b))>(b&m))&(b&(l&(m>(m>(l&l)))))) | (~(((b&l)&((m>(b&l))|(m>l))))>(b|m)) | 1 | 1 | 1 | 1 | entailment |
(~(l)&(~((~(b)>((b|l)&l)))>(b>(m|b)))) | (((m&l)|((m&m)|b))>~(l)) | 1 | 1 | 1 | 0 | entailment |
(((b|(l&b))>(b&m))&(b&(l&(m>(m>(l&l)))))) | (((m&l)|((m&m)|b))>~(l)) | 0 | 1 | 1 | 1 | not entailment |
(~(l)&(~((~(b)>((b|l)&l)))>(b>(m|b)))) | (~(((b&l)&((m>(b&l))|(m>l))))>(b|m)) | 0 | 1 | 1 | 0 | not entailment |
~((l>(b&l))) | (b|l) | 1 | 1 | 1 | 0 | entailment |
((m|((m&m)&(b&m)))&(((b&m)&m)>l)) | (b|(l>m)) | 1 | 1 | 1 | 0 | entailment |
~((l>(b&l))) | (b|(l>m)) | 0 | 1 | 0 | 0 | not entailment |
((m|((m&m)&(b&m)))&(((b&m)&m)>l)) | (b|l) | 0 | 1 | 1 | 1 | not entailment |
(b>(~((m|m))&~(b))) | (b>(l|~(b))) | 1 | 1 | 0 | 0 | entailment |
((~((~(~(m))>l))|~(m))>b) | (b|m) | 1 | 1 | 1 | 1 | entailment |
(b>(~((m|m))&~(b))) | (b|m) | 0 | 1 | 1 | 0 | not entailment |
((~((~(~(m))>l))|~(m))>b) | (b>(l|~(b))) | 0 | 1 | 1 | 0 | not entailment |
~((((b&b)&(m>b))|(~((l|((m>m)&l)))>l))) | ((b&m)>((m>b)>l)) | 1 | 1 | 1 | 0 | entailment |
(((m>b)&m)&((m>((l>l)>m))&(b&m))) | (~(m)>l) | 1 | 1 | 1 | 1 | entailment |
~((((b&b)&(m>b))|(~((l|((m>m)&l)))>l))) | (~(m)>l) | 0 | 1 | 1 | 0 | not entailment |
(((m>b)&m)&((m>((l>l)>m))&(b&m))) | ((b&m)>((m>b)>l)) | 0 | 1 | 1 | 0 | not entailment |
(l&(l&l)) | (m>l) | 1 | 1 | 0 | 0 | entailment |
(~((b>l))&((b>l)|m)) | ~(~((m&(b>b)))) | 1 | 1 | 1 | 1 | entailment |
(l&(l&l)) | ~(~((m&(b>b)))) | 0 | 0 | 0 | 0 | not entailment |
(~((b>l))&((b>l)|m)) | (m>l) | 0 | 1 | 1 | 0 | not entailment |
~((((m>m)>(~((l|b))|b))&(m>((b|l)&b)))) | (~((b|l))>(~((l&b))>(m&(m|m)))) | 1 | 1 | 1 | 1 | entailment |
~(((l|(m>l))>(((l>l)>b)&b))) | (~((b|b))>(l|((m|l)>b))) | 1 | 1 | 1 | 0 | entailment |
~((((m>m)>(~((l|b))|b))&(m>((b|l)&b)))) | (~((b|b))>(l|((m|l)>b))) | 0 | 1 | 1 | 1 | not entailment |
~(((l|(m>l))>(((l>l)>b)&b))) | (~((b|l))>(~((l&b))>(m&(m|m)))) | 0 | 0 | 1 | 0 | not entailment |
((m|l)&m) | ((l&~(b))|(l|((b|l)>m))) | 1 | 0 | 0 | 0 | entailment |
~(((((m>b)>(m&l))|~(b))|(l&m))) | (l|b) | 1 | 1 | 1 | 0 | entailment |
((m|l)&m) | (l|b) | 0 | 1 | 0 | 0 | not entailment |
~(((((m>b)>(m&l))|~(b))|(l&m))) | ((l&~(b))|(l|((b|l)>m))) | 0 | 1 | 1 | 0 | not entailment |
((m&l)&(m&l)) | ((~((l&(b>b)))>((b|m)&(b>l)))&((m&l)|m)) | 1 | 0 | 0 | 0 | entailment |
((b&(m|b))&(b|(l>l))) | ((m>l)>b) | 1 | 1 | 1 | 1 | entailment |
((m&l)&(m&l)) | ((m>l)>b) | 0 | 1 | 0 | 0 | not entailment |
((b&(m|b))&(b|(l>l))) | ((~((l&(b>b)))>((b|m)&(b>l)))&((m&l)|m)) | 0 | 0 | 1 | 0 | not entailment |
(m&((l|l)|l)) | (l&l) | 1 | 1 | 1 | 1 | entailment |
~(((m&(l|b))>~(~(((m|((l|l)|m))&l))))) | ~(((l&b)&l)) | 1 | 1 | 1 | 0 | entailment |
(m&((l|l)|l)) | ~(((l&b)&l)) | 0 | 1 | 0 | 0 | not entailment |
~(((m&(l|b))>~(~(((m|((l|l)|m))&l))))) | (l&l) | 0 | 1 | 1 | 1 | not entailment |
((b|l)|(l|l)) | (b|~((b|((m>l)>b)))) | 1 | 0 | 0 | 0 | entailment |
~((m>b)) | (~(~(~(m)))>((b|m)>m)) | 1 | 0 | 1 | 0 | entailment |
((b|l)|(l|l)) | (~(~(~(m)))>((b|m)>m)) | 0 | 0 | 0 | 0 | not entailment |
~((m>b)) | (b|~((b|((m>l)>b)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((l>l)|(m&b)))|((b&l)&((l>l)&b))) | (~(((l&l)>(m&(l>m))))|((((m>l)|m)>b)|m)) | 1 | 0 | 1 | 0 | entailment |
~((((m&l)>(l>(b|l)))&(~(m)&b))) | ~(~((~((l>(b>m)))>m))) | 1 | 1 | 1 | 1 | entailment |
(~(((l>l)|(m&b)))|((b&l)&((l>l)&b))) | ~(~((~((l>(b>m)))>m))) | 0 | 1 | 1 | 0 | not entailment |
~((((m&l)>(l>(b|l)))&(~(m)&b))) | (~(((l&l)>(m&(l>m))))|((((m>l)|m)>b)|m)) | 0 | 0 | 1 | 0 | not entailment |
~((b>m)) | (((~(m)&(l|~(b)))|l)|b) | 1 | 0 | 0 | 0 | entailment |
(~((m>b))&(~(l)&((m&m)>m))) | (m|~(~((b&m)))) | 1 | 1 | 1 | 0 | entailment |
~((b>m)) | (m|~(~((b&m)))) | 0 | 0 | 1 | 0 | not entailment |
(~((m>b))&(~(l)&((m&m)>m))) | (((~(m)&(l|~(b)))|l)|b) | 0 | 1 | 1 | 0 | not entailment |
((l&m)&b) | (b|l) | 1 | 1 | 1 | 1 | entailment |
~((m>(b|l))) | (b>(((m&b)&l)>(l&~(b)))) | 1 | 0 | 1 | 0 | entailment |
((l&m)&b) | (b>(((m&b)&l)>(l&~(b)))) | 0 | 0 | 1 | 0 | not entailment |
~((m>(b|l))) | (b|l) | 0 | 1 | 1 | 0 | not entailment |
((m|m)&~(l)) | (((b&l)>(m&(l|l)))>m) | 1 | 0 | 0 | 0 | entailment |
(l|l) | (l|b) | 1 | 1 | 0 | 0 | entailment |
((m|m)&~(l)) | (l|b) | 0 | 1 | 0 | 0 | not entailment |
(l|l) | (((b&l)>(m&(l|l)))>m) | 0 | 0 | 0 | 0 | not entailment |
((m>(((b|l)>(b>l))>l))&((l>~(l))&(m>l))) | (~((m|l))|((b>l)&m)) | 1 | 1 | 1 | 0 | entailment |
~((b|((l>l)&~(l)))) | (l|b) | 1 | 1 | 1 | 0 | entailment |
((m>(((b|l)>(b>l))>l))&((l>~(l))&(m>l))) | (l|b) | 0 | 1 | 1 | 1 | not entailment |
~((b|((l>l)&~(l)))) | (~((m|l))|((b>l)&m)) | 0 | 1 | 0 | 0 | not entailment |
~((~(m)|l)) | ~(~(((~(l)>l)>~((((b>l)&~(m))&b))))) | 1 | 0 | 0 | 0 | entailment |
(~((b&m))&l) | (l&l) | 1 | 1 | 1 | 1 | entailment |
~((~(m)|l)) | (l&l) | 0 | 1 | 1 | 0 | not entailment |
(~((b&m))&l) | ~(~(((~(l)>l)>~((((b>l)&~(m))&b))))) | 0 | 0 | 1 | 0 | not entailment |
((l>m)&(b&((m>(b|l))&b))) | ((~(b)&(b|(b|l)))>(l&b)) | 1 | 1 | 1 | 0 | entailment |
~((b|(~((l&m))&(~((l|m))|b)))) | ((b|l)>l) | 1 | 1 | 1 | 0 | entailment |
((l>m)&(b&((m>(b|l))&b))) | ((b|l)>l) | 0 | 1 | 1 | 0 | not entailment |
~((b|(~((l&m))&(~((l|m))|b)))) | ((~(b)&(b|(b|l)))>(l&b)) | 0 | 1 | 1 | 0 | not entailment |
(~(~((z&(v|(z|v)))))&e) | (~((g&(n&e)))>(e&(z|v))) | 1 | 1 | 0 | 0 | entailment |
~((((n>e)>((n|g)|(v&v)))|~(k))) | (g>~(((z&z)|(~((k&k))>k)))) | 1 | 1 | 0 | 0 | entailment |
(~(~((z&(v|(z|v)))))&e) | (g>~(((z&z)|(~((k&k))>k)))) | 0 | 0 | 0 | 0 | not entailment |
~((((n>e)>((n|g)|(v&v)))|~(k))) | (~((g&(n&e)))>(e&(z|v))) | 0 | 1 | 0 | 0 | not entailment |
~((((e&z)>(k&g))&(n>e))) | ((((g&z)>(n>z))>(n&e))|(((k>e)&k)>z)) | 1 | 0 | 1 | 0 | entailment |
~(((g&g)>(z|n))) | (n>~((v&(e>v)))) | 1 | 1 | 0 | 0 | entailment |
~((((e&z)>(k&g))&(n>e))) | (n>~((v&(e>v)))) | 0 | 1 | 0 | 0 | not entailment |
~(((g&g)>(z|n))) | ((((g&z)>(n>z))>(n&e))|(((k>e)&k)>z)) | 0 | 0 | 0 | 0 | not entailment |
((n&(v|(v>g)))&~(((e|e)>z))) | ((~(~(k))|~((z>v)))>((z&k)|e)) | 1 | 0 | 0 | 0 | entailment |
~((n|(k|(v&e)))) | ((~((e&e))&n)|(((n&k)>g)>(e>~(v)))) | 1 | 0 | 0 | 0 | entailment |
((n&(v|(v>g)))&~(((e|e)>z))) | ((~((e&e))&n)|(((n&k)>g)>(e>~(v)))) | 0 | 0 | 0 | 0 | not entailment |
~((n|(k|(v&e)))) | ((~(~(k))|~((z>v)))>((z&k)|e)) | 0 | 0 | 0 | 0 | not entailment |
~(((((k&e)|~(v))>g)>((k&(z>v))|z))) | ~((k|k)) | 1 | 1 | 1 | 1 | entailment |
(((e>(z&k))>v)&~(~(z))) | ((e>(n&z))|z) | 1 | 1 | 0 | 0 | entailment |
~(((((k&e)|~(v))>g)>((k&(z>v))|z))) | ((e>(n&z))|z) | 0 | 1 | 0 | 0 | not entailment |
(((e>(z&k))>v)&~(~(z))) | ~((k|k)) | 0 | 1 | 1 | 1 | not entailment |
(~(((g|n)|((v|n)>k)))&(z&(z|(g>z)))) | ~(~(~(((v>v)&(g&z))))) | 1 | 1 | 1 | 0 | entailment |
(k&(e&z)) | (((e>k)|z)&e) | 1 | 0 | 1 | 0 | entailment |
(~(((g|n)|((v|n)>k)))&(z&(z|(g>z)))) | (((e>k)|z)&e) | 0 | 1 | 0 | 0 | not entailment |
(k&(e&z)) | ~(~(~(((v>v)&(g&z))))) | 0 | 0 | 0 | 0 | not entailment |
(((k>e)|n)>~((k>(z>(k&g))))) | (n>k) | 1 | 1 | 1 | 1 | entailment |
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