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&d)|l)&((((h|i)>(i>(y|i)))|i)&n)) | (((~((b|u))&~(b))|((l|b)|d))>(u|h)) | 0 | 1 | 0 | 0 | not entailment |
((u&~(~(~(y))))&(m&u)) | (~((u|(d&n)))|(i>n)) | 0 | 1 | 0 | 0 | not entailment |
(~(y)>((u>y)&~((t>t)))) | ~(~(~(~(y)))) | 1 | 1 | 1 | 1 | entailment |
(((y>t)|~((((t>(y&u))>t)&u)))>(u&a)) | ((u|u)>(y>a)) | 1 | 1 | 1 | 1 | entailment |
(~(y)>((u>y)&~((t>t)))) | ((u|u)>(y>a)) | 0 | 1 | 0 | 0 | not entailment |
(((y>t)|~((((t>(y&u))>t)&u)))>(u&a)) | ~(~(~(~(y)))) | 0 | 1 | 1 | 1 | not entailment |
(~((t|u))&((y>a)>(u>y))) | ((t>u)|(a|u)) | 1 | 1 | 1 | 0 | entailment |
~((y>~((~(y)|(a>y))))) | (y&((((t>a)>(t&a))&a)|((y>y)>y))) | 1 | 0 | 0 | 0 | entailment |
(~((t|u))&((y>a)>(u>y))) | (y&((((t>a)>(t&a))&a)|((y>y)>y))) | 0 | 0 | 1 | 0 | not entailment |
~((y>~((~(y)|(a>y))))) | ((t>u)|(a|u)) | 0 | 1 | 0 | 0 | not entailment |
(((a&t)>(((y>(a|y))&~(~(t)))>y))&a) | ~(((((a|t)>~(y))&t)&t)) | 1 | 1 | 1 | 0 | entailment |
((u|(((y|a)>t)>(u|a)))&t) | ~(((t|(~(a)&y))>~((t|t)))) | 1 | 0 | 1 | 0 | entailment |
(((a&t)>(((y>(a|y))&~(~(t)))>y))&a) | ~(((t|(~(a)&y))>~((t|t)))) | 0 | 1 | 1 | 0 | not entailment |
((u|(((y|a)>t)>(u|a)))&t) | ~(((((a|t)>~(y))&t)&t)) | 0 | 1 | 1 | 1 | not entailment |
(~(((a>(y&u))>a))>(a&((t>t)>t))) | ~(~((~(((t|t)>(u|a)))>u))) | 1 | 1 | 1 | 0 | entailment |
~((t>(y&a))) | ~(~((~(~(u))>(y>t)))) | 1 | 0 | 0 | 0 | entailment |
(~(((a>(y&u))>a))>(a&((t>t)>t))) | ~(~((~(~(u))>(y>t)))) | 0 | 1 | 1 | 1 | not entailment |
~((t>(y&a))) | ~(~((~(((t|t)>(u|a)))>u))) | 0 | 0 | 0 | 0 | not entailment |
((u&((y|(t&(t&y)))&t))&a) | ((y>y)&y) | 1 | 1 | 1 | 0 | entailment |
~(t) | (t>~(((a>t)>y))) | 1 | 0 | 0 | 0 | entailment |
((u&((y|(t&(t&y)))&t))&a) | (t>~(((a>t)>y))) | 0 | 1 | 1 | 0 | not entailment |
~(t) | ((y>y)&y) | 0 | 0 | 0 | 0 | not entailment |
((t&(y|y))&(((u|~(y))&a)>y)) | (((((a|y)&u)|t)&t)|t) | 1 | 1 | 1 | 0 | entailment |
((u|y)>u) | ((a|(((a&u)|(a>a))&(y>a)))|u) | 1 | 0 | 0 | 0 | entailment |
((t&(y|y))&(((u|~(y))&a)>y)) | ((a|(((a&u)|(a>a))&(y>a)))|u) | 0 | 1 | 1 | 0 | not entailment |
((u|y)>u) | (((((a|y)&u)|t)&t)|t) | 0 | 0 | 0 | 0 | not entailment |
~((a|(t|~(((((a|t)>u)>(y>y))&(u|t)))))) | ((a>u)&((a&u)|~(t))) | 1 | 1 | 1 | 1 | entailment |
(((a|y)|~(~((u&(a|u)))))&y) | (((u>a)|u)&(y&(t>t))) | 1 | 1 | 0 | 0 | entailment |
~((a|(t|~(((((a|t)>u)>(y>y))&(u|t)))))) | (((u>a)|u)&(y&(t>t))) | 0 | 1 | 1 | 1 | not entailment |
(((a|y)|~(~((u&(a|u)))))&y) | ((a>u)&((a&u)|~(t))) | 0 | 1 | 0 | 0 | not entailment |
(y>(a&t)) | ((y>t)|u) | 1 | 1 | 0 | 0 | entailment |
(~(t)&((~((u|y))>(y>a))&a)) | (a|u) | 1 | 1 | 1 | 1 | entailment |
(y>(a&t)) | (a|u) | 0 | 1 | 0 | 0 | not entailment |
(~(t)&((~((u|y))>(y>a))&a)) | ((y>t)|u) | 0 | 1 | 1 | 0 | not entailment |
(t&(a|u)) | ~(~(((~((u|u))|t)>(~((u|a))>y)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((t|((u&u)|y))))) | ((~(y)&t)>(t&(a|(((a&y)&u)&(~(a)|y))))) | 1 | 0 | 0 | 0 | entailment |
(t&(a|u)) | ((~(y)&t)>(t&(a|(((a&y)&u)&(~(a)|y))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((t|((u&u)|y))))) | ~(~(((~((u|u))|t)>(~((u|a))>y)))) | 0 | 0 | 0 | 0 | not entailment |
~(((u|~(a))&u)) | (~((u&(y&~(a))))|~((y>u))) | 1 | 0 | 0 | 0 | entailment |
(y&(u&(u|y))) | (((t&~(((y|u)&~(y))))&(a>y))>(u|(t&a))) | 1 | 0 | 0 | 0 | entailment |
~(((u|~(a))&u)) | (((t&~(((y|u)&~(y))))&(a>y))>(u|(t&a))) | 0 | 0 | 0 | 0 | not entailment |
(y&(u&(u|y))) | (~((u&(y&~(a))))|~((y>u))) | 0 | 0 | 0 | 0 | not entailment |
~((y>((u|a)&(a&t)))) | ((y&(a|a))|(y|(u&(y>(a&y))))) | 1 | 0 | 1 | 0 | entailment |
~((u|a)) | (((a&(y|(u|a)))&u)>t) | 1 | 0 | 0 | 0 | entailment |
~((y>((u|a)&(a&t)))) | (((a&(y|(u|a)))&u)>t) | 0 | 1 | 1 | 0 | not entailment |
~((u|a)) | ((y&(a|a))|(y|(u&(y>(a&y))))) | 0 | 0 | 0 | 0 | not entailment |
(y&~(~((u>a)))) | ~(~(((u>a)|~(~(y))))) | 1 | 0 | 1 | 1 | entailment |
((t&u)&~(a)) | ~(((a&t)&(~(~(u))|(u|~(y))))) | 1 | 0 | 0 | 0 | entailment |
(y&~(~((u>a)))) | ~(((a&t)&(~(~(u))|(u|~(y))))) | 0 | 0 | 0 | 0 | not entailment |
((t&u)&~(a)) | ~(~(((u>a)|~(~(y))))) | 0 | 0 | 0 | 0 | not entailment |
(~((((a>t)>((a>u)|t))>(((y|y)|u)&u)))&a) | ((y|a)|(t|t)) | 1 | 1 | 1 | 0 | entailment |
(~(((t|(y|(t&(t|t))))|u))&(a>(y&t))) | (a>(a>~((a&~((~(t)&y)))))) | 1 | 1 | 1 | 1 | entailment |
(~((((a>t)>((a>u)|t))>(((y|y)|u)&u)))&a) | (a>(a>~((a&~((~(t)&y)))))) | 0 | 1 | 1 | 0 | not entailment |
(~(((t|(y|(t&(t|t))))|u))&(a>(y&t))) | ((y|a)|(t|t)) | 0 | 1 | 1 | 0 | not entailment |
(~(t)&(u&y)) | (u|t) | 1 | 1 | 1 | 0 | entailment |
((~(((t&y)>y))|a)&y) | ((y|(u>u))&a) | 1 | 1 | 0 | 0 | entailment |
(~(t)&(u&y)) | ((y|(u>u))&a) | 0 | 1 | 0 | 0 | not entailment |
((~(((t&y)>y))|a)&y) | (u|t) | 0 | 1 | 0 | 0 | not entailment |
~(((a>t)>~(~((t>u))))) | (~((u&u))|((t>a)&((y>t)&a))) | 1 | 0 | 0 | 0 | entailment |
(((~(~(a))|y)&y)&~((u&t))) | (((u>(a|(u&y)))|(t|a))&~(~(y))) | 1 | 0 | 1 | 0 | entailment |
~(((a>t)>~(~((t>u))))) | (((u>(a|(u&y)))|(t|a))&~(~(y))) | 0 | 0 | 0 | 0 | not entailment |
(((~(~(a))|y)&y)&~((u&t))) | (~((u&u))|((t>a)&((y>t)&a))) | 0 | 1 | 1 | 0 | not entailment |
(((y&(y&a))&(y&(t&y)))&((a>y)|a)) | ((a>a)&(((t|(y&u))|y)|y)) | 1 | 1 | 0 | 0 | entailment |
(~(y)&~(y)) | (((~(u)|(y|t))&(u>(~(a)&~(u))))>~(y)) | 1 | 0 | 0 | 0 | entailment |
(((y&(y&a))&(y&(t&y)))&((a>y)|a)) | (((~(u)|(y|t))&(u>(~(a)&~(u))))>~(y)) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&~(y)) | ((a>a)&(((t|(y&u))|y)|y)) | 0 | 0 | 0 | 0 | not entailment |
((v>x)&j) | (((p&~((v|h)))|j)|(l&~(v))) | 1 | 0 | 0 | 0 | entailment |
~((p>((l|v)|v))) | (((l>(h&j))&((h|l)&l))>x) | 1 | 0 | 0 | 0 | entailment |
((v>x)&j) | (((l>(h&j))&((h|l)&l))>x) | 0 | 0 | 0 | 0 | not entailment |
~((p>((l|v)|v))) | (((p&~((v|h)))|j)|(l&~(v))) | 0 | 0 | 0 | 0 | not entailment |
(((p|l)&j)&((h|((p>j)&x))>(h>j))) | ((((v&v)>v)>((v>~(x))|j))>(h|(l|j))) | 1 | 0 | 0 | 0 | entailment |
(~((j&j))&((h|j)>x)) | (~((p&l))>~(j)) | 1 | 1 | 0 | 0 | entailment |
(((p|l)&j)&((h|((p>j)&x))>(h>j))) | (~((p&l))>~(j)) | 0 | 1 | 1 | 1 | not entailment |
(~((j&j))&((h|j)>x)) | ((((v&v)>v)>((v>~(x))|j))>(h|(l|j))) | 0 | 0 | 0 | 0 | not entailment |
~(((x>h)|(p|(l|(p&x))))) | ((l>x)|~(h)) | 1 | 1 | 1 | 1 | entailment |
(p&l) | (~((j|l))>(~((h|~(v)))&(j>p))) | 1 | 0 | 0 | 0 | entailment |
~(((x>h)|(p|(l|(p&x))))) | (~((j|l))>(~((h|~(v)))&(j>p))) | 0 | 0 | 0 | 0 | not entailment |
(p&l) | ((l>x)|~(h)) | 0 | 0 | 0 | 0 | not entailment |
~(((v|v)|(x>l))) | ~((~(x)|((l&(x&v))&h))) | 1 | 0 | 0 | 0 | entailment |
~(((x>(v|v))>j)) | ~(j) | 1 | 1 | 1 | 1 | entailment |
~(((v|v)|(x>l))) | ~(j) | 0 | 1 | 0 | 0 | not entailment |
~(((x>(v|v))>j)) | ~((~(x)|((l&(x&v))&h))) | 0 | 0 | 0 | 0 | not entailment |
~((p>v)) | ~(((v&x)&v)) | 1 | 0 | 0 | 0 | entailment |
(j&h) | (h|(h&x)) | 1 | 0 | 0 | 0 | entailment |
~((p>v)) | (h|(h&x)) | 0 | 1 | 0 | 0 | not entailment |
(j&h) | ~(((v&x)&v)) | 0 | 0 | 0 | 0 | not entailment |
(~(~((l&l)))&p) | (v>l) | 1 | 1 | 0 | 0 | entailment |
~(j) | (v>~((j&(h|l)))) | 1 | 0 | 0 | 0 | entailment |
(~(~((l&l)))&p) | (v>~((j&(h|l)))) | 0 | 1 | 0 | 0 | not entailment |
~(j) | (v>l) | 0 | 1 | 0 | 0 | not entailment |
~(v) | ~(v) | 1 | 1 | 1 | 1 | entailment |
~(((h>h)&(h&h))) | (~(p)|(l|(~((j&h))|v))) | 1 | 0 | 0 | 0 | entailment |
~(v) | (~(p)|(l|(~((j&h))|v))) | 0 | 0 | 0 | 0 | not entailment |
~(((h>h)&(h&h))) | ~(v) | 0 | 1 | 0 | 0 | not entailment |
~(v) | (v>(p>j)) | 1 | 0 | 0 | 0 | entailment |
((p>(x&(x>p)))>(~((j|p))&~((x|x)))) | (l>((x|x)>h)) | 1 | 1 | 0 | 0 | entailment |
~(v) | (l>((x|x)>h)) | 0 | 0 | 0 | 0 | not entailment |
((p>(x&(x>p)))>(~((j|p))&~((x|x)))) | (v>(p>j)) | 0 | 1 | 0 | 0 | not entailment |
(~(x)&(j|x)) | (x>~(~(h))) | 1 | 1 | 0 | 0 | entailment |
~((~(l)>v)) | (~(v)|(((h&v)>(v|v))&(((x|j)>p)&l))) | 1 | 0 | 0 | 0 | entailment |
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