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 |
---|---|---|---|---|---|---|
(c&c) | ((e>~((n>e)))>(n|(n&k))) | 0 | 0 | 0 | 0 | not entailment |
((~(k)>(n>~((k&k))))>e) | ((e|c)>c) | 0 | 1 | 0 | 0 | not entailment |
(~((c&e))&(~(((n>e)>(~(k)|n)))&e)) | (k&(c|~(n))) | 1 | 1 | 1 | 0 | entailment |
(~((n>~(k)))&n) | ((e>e)&n) | 1 | 1 | 0 | 0 | entailment |
(~((c&e))&(~(((n>e)>(~(k)|n)))&e)) | ((e>e)&n) | 0 | 1 | 1 | 0 | not entailment |
(~((n>~(k)))&n) | (k&(c|~(n))) | 0 | 1 | 0 | 0 | not entailment |
~(~(((~(c)|(k&c))&c))) | ((n&k)|k) | 1 | 1 | 0 | 0 | entailment |
~(((k&~(c))|(~(e)|~(~((n|c)))))) | (((n|c)>(c&n))|(e|n)) | 1 | 1 | 1 | 0 | entailment |
~(~(((~(c)|(k&c))&c))) | (((n|c)>(c&n))|(e|n)) | 0 | 1 | 0 | 0 | not entailment |
~(((k&~(c))|(~(e)|~(~((n|c)))))) | ((n&k)|k) | 0 | 1 | 1 | 0 | not entailment |
((~(k)|~((c>c)))&((~(((e|n)|e))>n)&n)) | (~(n)>((n&e)|((e>(n&k))>~((c>n))))) | 1 | 1 | 1 | 0 | entailment |
(~(((c>(k>n))&k))>c) | (c|(c|(e|(e|k)))) | 1 | 1 | 0 | 0 | entailment |
((~(k)|~((c>c)))&((~(((e|n)|e))>n)&n)) | (c|(c|(e|(e|k)))) | 0 | 1 | 1 | 0 | not entailment |
(~(((c>(k>n))&k))>c) | (~(n)>((n&e)|((e>(n&k))>~((c>n))))) | 0 | 0 | 0 | 0 | not entailment |
(c&n) | ((c&e)|((~(e)&(~(~((k&c)))|n))|(k|e))) | 1 | 0 | 0 | 0 | entailment |
(c&~((c>(c>k)))) | (~(~(((k&k)|(n&k))))>((~(n)>c)&e)) | 1 | 0 | 0 | 0 | entailment |
(c&n) | (~(~(((k&k)|(n&k))))>((~(n)>c)&e)) | 0 | 0 | 0 | 0 | not entailment |
(c&~((c>(c>k)))) | ((c&e)|((~(e)&(~(~((k&c)))|n))|(k|e))) | 0 | 0 | 0 | 0 | not entailment |
((n&n)&e) | ~(~(n)) | 1 | 1 | 1 | 1 | entailment |
~(((n>k)>k)) | ~(~(~((c&k)))) | 1 | 0 | 0 | 0 | entailment |
((n&n)&e) | ~(~(~((c&k)))) | 0 | 0 | 0 | 0 | not entailment |
~(((n>k)>k)) | ~(~(n)) | 0 | 1 | 1 | 0 | not entailment |
((n&k)&((k>~(n))|(~(~(((n>e)>c)))&n))) | (((c>c)&n)|~((k>~(k)))) | 1 | 1 | 1 | 0 | entailment |
~((~(((c|e)&~((c|c))))>~(c))) | (~(~(c))&(((e&~(e))&c)>c)) | 1 | 1 | 1 | 0 | entailment |
((n&k)&((k>~(n))|(~(~(((n>e)>c)))&n))) | (~(~(c))&(((e&~(e))&c)>c)) | 0 | 1 | 1 | 0 | not entailment |
~((~(((c|e)&~((c|c))))>~(c))) | (((c>c)&n)|~((k>~(k)))) | 0 | 1 | 0 | 0 | not entailment |
~(((n&(n>c))>(~((e&n))&n))) | ~(~((n|(((~(c)&c)|c)>(c&n))))) | 1 | 0 | 1 | 0 | entailment |
(k&(((n>e)|c)|k)) | (e>(c>(k&k))) | 1 | 1 | 1 | 0 | entailment |
~(((n&(n>c))>(~((e&n))&n))) | (e>(c>(k&k))) | 0 | 1 | 0 | 0 | not entailment |
(k&(((n>e)|c)|k)) | ~(~((n|(((~(c)&c)|c)>(c&n))))) | 0 | 0 | 1 | 0 | not entailment |
(((k&k)&n)&(n|c)) | ((n>~(~(k)))|c) | 1 | 1 | 1 | 0 | entailment |
~(((((c|k)&k)|~(e))|c)) | (k>c) | 1 | 1 | 1 | 0 | entailment |
(((k&k)&n)&(n|c)) | (k>c) | 0 | 1 | 1 | 0 | not entailment |
~(((((c|k)&k)|~(e))|c)) | ((n>~(~(k)))|c) | 0 | 1 | 0 | 0 | not entailment |
(y|n) | (n|(~(~(~((~((a&n))&~((n|a))))))|y)) | 1 | 0 | 0 | 0 | entailment |
~(n) | (((n&y)&n)>a) | 1 | 0 | 0 | 0 | entailment |
(y|n) | (((n&y)&n)>a) | 0 | 0 | 0 | 0 | not entailment |
~(n) | (n|(~(~(~((~((a&n))&~((n|a))))))|y)) | 0 | 0 | 0 | 0 | not entailment |
(y&((a&a)|n)) | (((n>a)>a)&(~(~(y))>((((a>n)|n)|y)>y))) | 1 | 0 | 1 | 0 | entailment |
~(y) | ~(((y&y)&a)) | 1 | 0 | 0 | 0 | entailment |
(y&((a&a)|n)) | ~(((y&y)&a)) | 0 | 1 | 1 | 0 | not entailment |
~(y) | (((n>a)>a)&(~(~(y))>((((a>n)|n)|y)>y))) | 0 | 0 | 0 | 0 | not entailment |
(y&((n|n)&y)) | ((~(n)&(y&(y>y)))>~((n>(y>y)))) | 1 | 0 | 1 | 0 | entailment |
(a&a) | (n>a) | 1 | 1 | 0 | 0 | entailment |
(y&((n|n)&y)) | (n>a) | 0 | 1 | 0 | 0 | not entailment |
(a&a) | ((~(n)&(y&(y>y)))>~((n>(y>y)))) | 0 | 0 | 0 | 0 | not entailment |
(~(a)&((((y>(a>a))&y)|n)|(a|n))) | (~((~((y>(a>a)))|~(a)))>((a|n)&~(y))) | 1 | 0 | 1 | 1 | entailment |
((y>~(n))>y) | (a|(n>y)) | 1 | 1 | 0 | 0 | entailment |
(~(a)&((((y>(a>a))&y)|n)|(a|n))) | (a|(n>y)) | 0 | 1 | 1 | 0 | not entailment |
((y>~(n))>y) | (~((~((y>(a>a)))|~(a)))>((a|n)&~(y))) | 0 | 0 | 0 | 0 | not entailment |
~(n) | (n>(n>y)) | 1 | 0 | 0 | 0 | entailment |
(a&((y>a)>(a|n))) | (~(~(a))|(y|(n&((a&a)>y)))) | 1 | 0 | 1 | 1 | entailment |
~(n) | (~(~(a))|(y|(n&((a&a)>y)))) | 0 | 0 | 0 | 0 | not entailment |
(a&((y>a)>(a|n))) | (n>(n>y)) | 0 | 1 | 1 | 0 | not entailment |
~(a) | ~((a&n)) | 1 | 0 | 0 | 0 | entailment |
(((n|n)>y)&a) | ((y|n)|a) | 1 | 1 | 1 | 0 | entailment |
~(a) | ((y|n)|a) | 0 | 0 | 0 | 0 | not entailment |
(((n|n)>y)&a) | ~((a&n)) | 0 | 1 | 1 | 0 | not entailment |
(((y&y)&(y>n))&(y|~((y>n)))) | ((~(a)&(y|~(y)))|y) | 1 | 1 | 0 | 0 | entailment |
(((((a|y)>y)>n)&n)>a) | ((((n&a)|n)&~(~((y|a))))>a) | 1 | 0 | 1 | 1 | entailment |
(((y&y)&(y>n))&(y|~((y>n)))) | ((((n&a)|n)&~(~((y|a))))>a) | 0 | 1 | 0 | 0 | not entailment |
(((((a|y)>y)>n)&n)>a) | ((~(a)&(y|~(y)))|y) | 0 | 1 | 1 | 1 | not entailment |
~(((n&n)>~((a>~((a>(n>n))))))) | ((a|(a|((y>n)|a)))|(((a>n)&a)&n)) | 1 | 1 | 0 | 0 | entailment |
~(((y|~((y>(~(y)>y))))&((y>a)|n))) | (n>(~((a&y))>(n>(y>a)))) | 1 | 1 | 1 | 0 | entailment |
~(((n&n)>~((a>~((a>(n>n))))))) | (n>(~((a&y))>(n>(y>a)))) | 0 | 1 | 0 | 0 | not entailment |
~(((y|~((y>(~(y)>y))))&((y>a)|n))) | ((a|(a|((y>n)|a)))|(((a>n)&a)&n)) | 0 | 1 | 1 | 0 | not entailment |
(y&a) | (((a|((n|y)&(n>n)))&n)>(a|~(n))) | 1 | 0 | 0 | 0 | entailment |
(~(y)&n) | (((a|y)>(a>n))|n) | 1 | 0 | 0 | 0 | entailment |
(y&a) | (((a|y)>(a>n))|n) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&n) | (((a|((n|y)&(n>n)))&n)>(a|~(n))) | 0 | 0 | 0 | 0 | not entailment |
(((n|(~(a)>n))&n)&(a&(a&((y|(y&a))>y)))) | ((~((n|a))|n)|~((((n>n)&a)|((y>a)|n)))) | 1 | 1 | 1 | 0 | entailment |
((n>n)>~((n|y))) | (~(n)|(n&y)) | 1 | 1 | 1 | 0 | entailment |
(((n|(~(a)>n))&n)&(a&(a&((y|(y&a))>y)))) | (~(n)|(n&y)) | 0 | 1 | 1 | 0 | not entailment |
((n>n)>~((n|y))) | ((~((n|a))|n)|~((((n>n)&a)|((y>a)|n)))) | 0 | 0 | 0 | 0 | not entailment |
(((y&a)>~(a))>a) | ((((n>n)>(n&(n>a)))>(n|(y>n)))&(a&(a&a))) | 1 | 0 | 0 | 0 | entailment |
((((n|n)&y)>(~(~(a))>n))>(((y|y)|n)|y)) | (n|y) | 1 | 1 | 1 | 1 | entailment |
(((y&a)>~(a))>a) | (n|y) | 0 | 1 | 0 | 0 | not entailment |
((((n|n)&y)>(~(~(a))>n))>(((y|y)|n)|y)) | ((((n>n)>(n&(n>a)))>(n|(y>n)))&(a&(a&a))) | 0 | 1 | 1 | 0 | not entailment |
(y&a) | ((y>a)&((a|a)|y)) | 1 | 0 | 1 | 0 | entailment |
~((a|~(y))) | ~((a&a)) | 1 | 1 | 1 | 1 | entailment |
(y&a) | ~((a&a)) | 0 | 0 | 1 | 0 | not entailment |
~((a|~(y))) | ((y>a)&((a|a)|y)) | 0 | 0 | 1 | 0 | not entailment |
~(~(n)) | (a>((((n&a)|(y|(a|(n|n))))|n)>n)) | 1 | 0 | 0 | 0 | entailment |
((a>~((y&y)))>((a|(n&n))&(a&n))) | (a|((n&y)|a)) | 1 | 1 | 1 | 1 | entailment |
~(~(n)) | (a|((n&y)|a)) | 0 | 0 | 0 | 0 | not entailment |
((a>~((y&y)))>((a|(n&n))&(a&n))) | (a>((((n&a)|(y|(a|(n|n))))|n)>n)) | 0 | 1 | 1 | 0 | not entailment |
(y&(((a&y)&n)>(a|n))) | (((y>~((n>n)))>~((n|y)))|~((y|n))) | 1 | 0 | 1 | 1 | entailment |
((y|y)>(y&n)) | ~(~(((((n>y)&n)>a)>(y>n)))) | 1 | 0 | 0 | 0 | entailment |
(y&(((a&y)&n)>(a|n))) | ~(~(((((n>y)&n)>a)>(y>n)))) | 0 | 0 | 1 | 1 | not entailment |
((y|y)>(y&n)) | (((y>~((n>n)))>~((n|y)))|~((y|n))) | 0 | 0 | 1 | 0 | not entailment |
((s>~((~(((d&l)|(((s&s)>d)|p)))>s)))&h) | ((l>p)|((h|l)>(((h|c)&(s>p))|(s>h)))) | 1 | 1 | 0 | 0 | entailment |
~((~((~(c)|~((d|~(p)))))|(c|(p&h)))) | ((((c|(c&p))>d)|(s&h))|(l>(s&(p|h)))) | 1 | 1 | 0 | 0 | entailment |
((s>~((~(((d&l)|(((s&s)>d)|p)))>s)))&h) | ((((c|(c&p))>d)|(s&h))|(l>(s&(p|h)))) | 0 | 1 | 0 | 0 | not entailment |
~((~((~(c)|~((d|~(p)))))|(c|(p&h)))) | ((l>p)|((h|l)>(((h|c)&(s>p))|(s>h)))) | 0 | 1 | 0 | 0 | not entailment |
~((s>(~(((~((p&(l>c)))>l)>(d>h)))|p))) | (p>s) | 1 | 1 | 1 | 1 | entailment |
~(((d>(l>(c|h)))>(l>~(h)))) | ((~(((c&s)>p))&(((d|c)&(l&(p|h)))>l))>l) | 1 | 0 | 0 | 0 | entailment |
~((s>(~(((~((p&(l>c)))>l)>(d>h)))|p))) | ((~(((c&s)>p))&(((d|c)&(l&(p|h)))>l))>l) | 0 | 1 | 1 | 0 | not entailment |
~(((d>(l>(c|h)))>(l>~(h)))) | (p>s) | 0 | 1 | 0 | 0 | not entailment |
((d|s)&~((d|((p&(s|(h>s)))>(s>(p&l)))))) | (s|d) | 1 | 1 | 1 | 1 | entailment |
~(((((h|p)>l)|(d>d))&c)) | (c>~((h|d))) | 1 | 1 | 1 | 0 | entailment |
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