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 |
|---|---|---|---|---|---|---|
~(~(((e&~(~((v|s))))&s))) | ~(~((~((e|(((~((b&s))>s)>s)&e)))>l))) | 1 | 0 | 0 | 0 | entailment |
~((b|(s|e))) | ~(~((~((e|(((~((b&s))>s)>s)&e)))>l))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((e&~(~((v|s))))&s))) | (s>(~((v&~(~(v))))>(v&v))) | 0 | 1 | 1 | 0 | not entailment |
(l&((e|(((e>v)>b)>b))&(v&(v|v)))) | ~(((~((l|b))&s)&(e&v))) | 1 | 1 | 0 | 0 | entailment |
(((~(s)|(b&b))>(v>(e&s)))&s) | ((s|s)|(((s&b)>v)&~((~(e)>b)))) | 1 | 0 | 1 | 0 | entailment |
(l&((e|(((e>v)>b)>b))&(v&(v|v)))) | ((s|s)|(((s&b)>v)&~((~(e)>b)))) | 0 | 1 | 0 | 0 | not entailment |
(((~(s)|(b&b))>(v>(e&s)))&s) | ~(((~((l|b))&s)&(e&v))) | 0 | 1 | 0 | 0 | not entailment |
(((e>(l&l))&l)|(e>((b&e)|b))) | ((b|l)|(e>l)) | 1 | 1 | 1 | 1 | entailment |
~(~(((l&(~((e|l))|(l>l)))|((l&l)|v)))) | (((l|(v&e))&~((s&v)))|~(~((s>v)))) | 1 | 1 | 0 | 0 | entailment |
(((e>(l&l))&l)|(e>((b&e)|b))) | (((l|(v&e))&~((s&v)))|~(~((s>v)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((l&(~((e|l))|(l>l)))|((l&l)|v)))) | ((b|l)|(e>l)) | 0 | 1 | 0 | 0 | not entailment |
((l>(v|l))>~((~((v|v))>(e>b)))) | ((l|e)&e) | 1 | 1 | 1 | 1 | entailment |
(((l&e)>l)>l) | (((b&~(e))>s)>(e>l)) | 1 | 0 | 0 | 0 | entailment |
((l>(v|l))>~((~((v|v))>(e>b)))) | (((b&~(e))>s)>(e>l)) | 0 | 1 | 0 | 0 | not entailment |
(((l&e)>l)>l) | ((l|e)&e) | 0 | 1 | 1 | 1 | not entailment |
(e&((l>e)>(e>l))) | ((b&e)|e) | 1 | 1 | 0 | 0 | entailment |
(v&b) | ((l|v)&((b&v)&((b|l)>(e|v)))) | 1 | 0 | 0 | 0 | entailment |
(e&((l>e)>(e>l))) | ((l|v)&((b&v)&((b|l)>(e|v)))) | 0 | 0 | 0 | 0 | not entailment |
(v&b) | ((b&e)|e) | 0 | 0 | 0 | 0 | not entailment |
~((((s&v)>e)|((s>s)>(v>l)))) | ~(~(((l|(v|e))&~(~((v|(s>s))))))) | 1 | 0 | 1 | 0 | entailment |
~((((l|b)|(b|s))|v)) | ((s&v)>((s&s)&(v>(s>e)))) | 1 | 0 | 0 | 0 | entailment |
~((((s&v)>e)|((s>s)>(v>l)))) | ((s&v)>((s&s)&(v>(s>e)))) | 0 | 1 | 1 | 0 | not entailment |
~((((l|b)|(b|s))|v)) | ~(~(((l|(v|e))&~(~((v|(s>s))))))) | 0 | 0 | 0 | 0 | not entailment |
(v&(((e|l)|(l|~(((l&e)>l))))&l)) | ((b>(e|v))|(e&((s|b)>((b&b)>l)))) | 1 | 1 | 0 | 0 | entailment |
(s&~(((b&v)|~((l&b))))) | (s|~(((s&e)|(l>b)))) | 1 | 1 | 0 | 0 | entailment |
(v&(((e|l)|(l|~(((l&e)>l))))&l)) | (s|~(((s&e)|(l>b)))) | 0 | 1 | 0 | 0 | not entailment |
(s&~(((b&v)|~((l&b))))) | ((b>(e|v))|(e&((s|b)>((b&b)>l)))) | 0 | 0 | 0 | 0 | not entailment |
(e&b) | ~((v&~(b))) | 1 | 0 | 0 | 0 | entailment |
~((~((l&(l&(v&((b>e)&s)))))>s)) | ~((s&(b|(l>~(v))))) | 1 | 1 | 1 | 0 | entailment |
(e&b) | ~((s&(b|(l>~(v))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((l&(l&(v&((b>e)&s)))))>s)) | ~((v&~(b))) | 0 | 1 | 1 | 1 | not entailment |
(b&e) | ((s>(((v|((l&e)>~((b&s))))|(l|e))|v))&e) | 1 | 0 | 0 | 0 | entailment |
~(~(l)) | ((s&(v>v))>(s&l)) | 1 | 0 | 0 | 0 | entailment |
(b&e) | ((s&(v>v))>(s&l)) | 0 | 0 | 0 | 0 | not entailment |
~(~(l)) | ((s>(((v|((l&e)>~((b&s))))|(l|e))|v))&e) | 0 | 0 | 0 | 0 | not entailment |
~(s) | ((s>(~(s)|v))|(l>b)) | 1 | 0 | 0 | 0 | entailment |
~((((s&(l>e))>b)|~(((l>l)>(b>e))))) | (~((e|b))|((l>l)>(s|l))) | 1 | 1 | 1 | 0 | entailment |
~(s) | (~((e|b))|((l>l)>(s|l))) | 0 | 0 | 0 | 0 | not entailment |
~((((s&(l>e))>b)|~(((l>l)>(b>e))))) | ((s>(~(s)|v))|(l>b)) | 0 | 1 | 0 | 0 | not entailment |
~(((s&b)>((v>(e|l))&~(b)))) | (b>(e|s)) | 1 | 1 | 1 | 0 | entailment |
(v|(~(~(~(s)))&v)) | (e>v) | 1 | 1 | 0 | 0 | entailment |
~(((s&b)>((v>(e|l))&~(b)))) | (e>v) | 0 | 1 | 1 | 1 | not entailment |
(v|(~(~(~(s)))&v)) | (b>(e|s)) | 0 | 1 | 0 | 0 | not entailment |
~(((l|(e|(s>(v&s))))>(((v|(v&e))|l)|e))) | ~(l) | 1 | 1 | 1 | 1 | entailment |
((b|~(l))&(e|(v&(s|(~(v)&(b|b)))))) | (e|s) | 1 | 1 | 1 | 1 | entailment |
~(((l|(e|(s>(v&s))))>(((v|(v&e))|l)|e))) | (e|s) | 0 | 1 | 1 | 1 | not entailment |
((b|~(l))&(e|(v&(s|(~(v)&(b|b)))))) | ~(l) | 0 | 1 | 1 | 1 | not entailment |
(l&b) | (b|~((s&v))) | 1 | 0 | 0 | 0 | entailment |
~(~(s)) | (~(((~((~(s)|(l|v)))>b)&s))>s) | 1 | 0 | 0 | 0 | entailment |
(l&b) | (~(((~((~(s)|(l|v)))>b)&s))>s) | 0 | 0 | 0 | 0 | not entailment |
~(~(s)) | (b|~((s&v))) | 0 | 0 | 0 | 0 | not entailment |
((b>s)&(e&b)) | (l|((((~(e)&v)&s)|((e|l)|(e|e)))>(e>s))) | 1 | 0 | 0 | 0 | entailment |
~((b>~((~(v)>l)))) | (~(s)|((s&l)|(v|l))) | 1 | 1 | 0 | 0 | entailment |
((b>s)&(e&b)) | (~(s)|((s&l)|(v|l))) | 0 | 0 | 0 | 0 | not entailment |
~((b>~((~(v)>l)))) | (l|((((~(e)&v)&s)|((e|l)|(e|e)))>(e>s))) | 0 | 0 | 0 | 0 | not entailment |
(l&(l&s)) | (e>((v>(((v>b)&s)|s))&(~(v)|l))) | 1 | 0 | 0 | 0 | entailment |
(v&~(~(b))) | ((s&(b>~(v)))>~((e|b))) | 1 | 0 | 0 | 0 | entailment |
(l&(l&s)) | ((s&(b>~(v)))>~((e|b))) | 0 | 0 | 0 | 0 | not entailment |
(v&~(~(b))) | (e>((v>(((v>b)&s)|s))&(~(v)|l))) | 0 | 0 | 0 | 0 | not entailment |
((l&n)|l) | ((d&(z&(z>m)))>l) | 1 | 0 | 0 | 0 | entailment |
~(((n>r)>(~(m)|~((~(n)&d))))) | (~((m&n))>d) | 1 | 1 | 1 | 0 | entailment |
((l&n)|l) | (~((m&n))>d) | 0 | 0 | 0 | 0 | not entailment |
~(((n>r)>(~(m)|~((~(n)&d))))) | ((d&(z&(z>m)))>l) | 0 | 1 | 0 | 0 | not entailment |
(r&d) | ~(~(((m|r)>r))) | 1 | 0 | 0 | 0 | entailment |
~(((((r>m)|d)|(r&r))&~((z&(l&d))))) | ((d|d)>(((r>m)&l)|(~(l)>~(d)))) | 1 | 1 | 1 | 0 | entailment |
(r&d) | ((d|d)>(((r>m)&l)|(~(l)>~(d)))) | 0 | 0 | 0 | 0 | not entailment |
~(((((r>m)|d)|(r&r))&~((z&(l&d))))) | ~(~(((m|r)>r))) | 0 | 1 | 1 | 1 | not entailment |
(~(~(((l&~(~(r)))>n)))>~(~((d|d)))) | ((n|(d|r))|z) | 1 | 1 | 0 | 0 | entailment |
((l&(l>((d>m)&m)))&(m&m)) | (m|d) | 1 | 1 | 1 | 0 | entailment |
(~(~(((l&~(~(r)))>n)))>~(~((d|d)))) | (m|d) | 0 | 1 | 0 | 0 | not entailment |
((l&(l>((d>m)&m)))&(m&m)) | ((n|(d|r))|z) | 0 | 1 | 0 | 0 | not entailment |
(~((l>(z|(z&n))))&(~(m)|(l|m))) | ((d&m)|~(((((r&(m|m))|z)>r)&z))) | 1 | 1 | 0 | 0 | entailment |
((d&r)&(z&l)) | (r&~(((l|~(n))>~(((m>n)>d))))) | 1 | 0 | 0 | 0 | entailment |
(~((l>(z|(z&n))))&(~(m)|(l|m))) | (r&~(((l|~(n))>~(((m>n)>d))))) | 0 | 1 | 0 | 0 | not entailment |
((d&r)&(z&l)) | ((d&m)|~(((((r&(m|m))|z)>r)&z))) | 0 | 0 | 0 | 0 | not entailment |
(((z|((l|m)&n))>~(m))&z) | (((~(~(((r|n)&(z|(d>z)))))|d)|l)|z) | 1 | 0 | 0 | 0 | entailment |
((~(d)&~((r|z)))&m) | ~((~(l)&z)) | 1 | 1 | 0 | 0 | entailment |
(((z|((l|m)&n))>~(m))&z) | ~((~(l)&z)) | 0 | 1 | 1 | 0 | not entailment |
((~(d)&~((r|z)))&m) | (((~(~(((r|n)&(z|(d>z)))))|d)|l)|z) | 0 | 0 | 0 | 0 | not entailment |
(n&~(r)) | ((r>d)|m) | 1 | 1 | 0 | 0 | entailment |
(~(z)&(~((l&m))&(z|~(d)))) | ((z>m)|(((n>((r>d)>(d&d)))&(n&l))|~(d))) | 1 | 0 | 0 | 0 | entailment |
(n&~(r)) | ((z>m)|(((n>((r>d)>(d&d)))&(n&l))|~(d))) | 0 | 0 | 0 | 0 | not entailment |
(~(z)&(~((l&m))&(z|~(d)))) | ((r>d)|m) | 0 | 1 | 0 | 0 | not entailment |
(~((d&(m>n)))&((n|m)&d)) | (r|(m|z)) | 1 | 1 | 0 | 0 | entailment |
((z>n)&~((((m>l)|z)&l))) | ~(l) | 1 | 1 | 1 | 1 | entailment |
(~((d&(m>n)))&((n|m)&d)) | ~(l) | 0 | 1 | 0 | 0 | not entailment |
((z>n)&~((((m>l)|z)&l))) | (r|(m|z)) | 0 | 1 | 0 | 0 | not entailment |
(n|((m>(z&((m>d)&n)))&r)) | (((z>l)&d)|(~(~(r))|(((m>d)&n)|m))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((r|n)|((d|m)>(d&r)))))) | (((r>m)&((m>m)|(d&l)))|~(n)) | 1 | 1 | 0 | 0 | entailment |
(n|((m>(z&((m>d)&n)))&r)) | (((r>m)&((m>m)|(d&l)))|~(n)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((r|n)|((d|m)>(d&r)))))) | (((z>l)&d)|(~(~(r))|(((m>d)&n)|m))) | 0 | 0 | 0 | 0 | not entailment |
((r>r)>n) | (~(m)|(n|z)) | 1 | 0 | 0 | 0 | entailment |
((~((l|m))|(n>r))&(z>z)) | ((~(((r>m)>(l>d)))&(((n&l)&r)>d))>~(n)) | 1 | 0 | 0 | 0 | entailment |
((r>r)>n) | ((~(((r>m)>(l>d)))&(((n&l)&r)>d))>~(n)) | 0 | 0 | 0 | 0 | not entailment |
((~((l|m))|(n>r))&(z>z)) | (~(m)|(n|z)) | 0 | 1 | 1 | 0 | not entailment |
(((z|z)|(~(~(((n>l)>l)))>r))&~((l>d))) | (~(~(((d&(r|r))&(~(n)&m))))>((r|l)&n)) | 1 | 1 | 0 | 0 | entailment |
((m&((m>n)|d))&((n|l)&(z>l))) | ~((r&~(m))) | 1 | 1 | 0 | 0 | entailment |
(((z|z)|(~(~(((n>l)>l)))>r))&~((l>d))) | ~((r&~(m))) | 0 | 1 | 0 | 0 | not entailment |
((m&((m>n)|d))&((n|l)&(z>l))) | (~(~(((d&(r|r))&(~(n)&m))))>((r|l)&n)) | 0 | 0 | 0 | 0 | not entailment |
((((n>~(m))|((n|l)|n))>(z&z))&l) | ((d&r)>(d&z)) | 1 | 1 | 0 | 0 | entailment |
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