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 |
|---|---|---|---|---|---|---|
~((b|b)) | (b>(f&d)) | 1 | 1 | 0 | 0 | entailment |
(~(h)&b) | ((c|(((b|g)&b)|(y&g)))>((h|o)>b)) | 1 | 0 | 0 | 0 | entailment |
~((b|b)) | ((c|(((b|g)&b)|(y&g)))>((h|o)>b)) | 0 | 0 | 0 | 0 | not entailment |
(~(h)&b) | (b>(f&d)) | 0 | 1 | 0 | 0 | not entailment |
(~((g>f))|~((o|(c>(f>((d&c)>c)))))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
(((c|b)&g)&(((~(h)&o)&d)&(g&b))) | (((l>g)&((~(~((b|h)))|(o>y))|c))&g) | 1 | 0 | 0 | 0 | entailment |
(~((g>f))|~((o|(c>(f>((d&c)>c)))))) | (((l>g)&((~(~((b|h)))|(o>y))|c))&g) | 0 | 1 | 0 | 0 | not entailment |
(((c|b)&g)&(((~(h)&o)&d)&(g&b))) | ~(f) | 0 | 1 | 0 | 0 | not entailment |
~((~((o&(~(f)&b)))|(((c&c)|y)&l))) | (f>(d|~((b&h)))) | 1 | 1 | 0 | 0 | entailment |
~(o) | (~(o)|(g>c)) | 1 | 0 | 0 | 0 | entailment |
~((~((o&(~(f)&b)))|(((c&c)|y)&l))) | (~(o)|(g>c)) | 0 | 1 | 0 | 0 | not entailment |
~(o) | (f>(d|~((b&h)))) | 0 | 0 | 0 | 0 | not entailment |
(l&(l&v)) | (y|(~((l|v))|l)) | 1 | 0 | 0 | 0 | entailment |
((((l>v)&(v&h))>l)&((~((h&y))>l)>h)) | ~((~((h|(l>h)))&(l|v))) | 1 | 1 | 1 | 1 | entailment |
(l&(l&v)) | ~((~((h|(l>h)))&(l|v))) | 0 | 0 | 0 | 0 | not entailment |
((((l>v)&(v&h))>l)&((~((h&y))>l)>h)) | (y|(~((l|v))|l)) | 0 | 1 | 1 | 0 | not entailment |
((((l|v)>l)&(l&y))&(((l>v)|(h&(h>h)))|y)) | ((((l&l)|l)|(~((~(y)|y))&h))>(y|h)) | 1 | 1 | 1 | 0 | entailment |
(~((h&((y|l)|(y>v))))&(v>h)) | ((v|(l&y))>(~(v)&(y&(v|l)))) | 1 | 1 | 1 | 0 | entailment |
((((l|v)>l)&(l&y))&(((l>v)|(h&(h>h)))|y)) | ((v|(l&y))>(~(v)&(y&(v|l)))) | 0 | 1 | 1 | 0 | not entailment |
(~((h&((y|l)|(y>v))))&(v>h)) | ((((l&l)|l)|(~((~(y)|y))&h))>(y|h)) | 0 | 0 | 1 | 1 | not entailment |
(((y>l)|((v|(y|~((h>(y>l)))))&v))&l) | ((l&h)|(~(((v&v)>~((y>h))))|(h>v))) | 1 | 1 | 1 | 0 | entailment |
(h&(((l|h)>(~(y)|((v|v)&y)))>(v&v))) | (h|((((v|h)&h)|~(~((h&l))))|y)) | 1 | 1 | 1 | 1 | entailment |
(((y>l)|((v|(y|~((h>(y>l)))))&v))&l) | (h|((((v|h)&h)|~(~((h&l))))|y)) | 0 | 1 | 1 | 1 | not entailment |
(h&(((l|h)>(~(y)|((v|v)&y)))>(v&v))) | ((l&h)|(~(((v&v)>~((y>h))))|(h>v))) | 0 | 1 | 1 | 0 | not entailment |
~(((y|y)>(h|(~(((v&(v&h))>h))|v)))) | (y|(y|h)) | 1 | 1 | 1 | 1 | entailment |
(((l>l)|v)>~((h|(y|(l>h))))) | (((y|h)>((l&v)&y))|(l>(v|v))) | 1 | 1 | 1 | 0 | entailment |
~(((y|y)>(h|(~(((v&(v&h))>h))|v)))) | (((y|h)>((l&v)&y))|(l>(v|v))) | 0 | 1 | 0 | 0 | not entailment |
(((l>l)|v)>~((h|(y|(l>h))))) | (y|(y|h)) | 0 | 1 | 1 | 0 | not entailment |
(l&v) | (~((y|(l|l)))>((l>v)>v)) | 1 | 0 | 0 | 0 | entailment |
~((~(l)>((v>(h&l))>(y&v)))) | (~(y)>(v>~((v>((l&l)&(v>h)))))) | 1 | 0 | 1 | 0 | entailment |
(l&v) | (~(y)>(v>~((v>((l&l)&(v>h)))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(l)>((v>(h&l))>(y&v)))) | (~((y|(l|l)))>((l>v)>v)) | 0 | 1 | 1 | 0 | not entailment |
~(~(~((((v&y)>~(y))&~(y))))) | ((y|v)>((v>((v>h)>y))|(l&v))) | 1 | 1 | 0 | 0 | entailment |
((h&l)|h) | (~(~(h))|v) | 1 | 0 | 0 | 0 | entailment |
~(~(~((((v&y)>~(y))&~(y))))) | (~(~(h))|v) | 0 | 1 | 0 | 0 | not entailment |
((h&l)|h) | ((y|v)>((v>((v>h)>y))|(l&v))) | 0 | 0 | 0 | 0 | not entailment |
((y&((h&v)|(v&v)))&v) | (((y|h)>v)>y) | 1 | 1 | 1 | 0 | entailment |
(v>~((((l|h)&l)>l))) | (l>(~(y)|~(v))) | 1 | 1 | 0 | 0 | entailment |
((y&((h&v)|(v&v)))&v) | (l>(~(y)|~(v))) | 0 | 1 | 0 | 0 | not entailment |
(v>~((((l|h)&l)>l))) | (((y|h)>v)>y) | 0 | 1 | 0 | 0 | not entailment |
(v|((h>v)&v)) | (~(~(((h|h)>(y&((v&(y>y))|l)))))|v) | 1 | 0 | 0 | 0 | entailment |
~((~((y>(y&v)))>(~((l|v))>(~(y)&h)))) | ((((~(l)|l)|y)&(h|y))|l) | 1 | 1 | 1 | 0 | entailment |
(v|((h>v)&v)) | ((((~(l)|l)|y)&(h|y))|l) | 0 | 0 | 0 | 0 | not entailment |
~((~((y>(y&v)))>(~((l|v))>(~(y)&h)))) | (~(~(((h|h)>(y&((v&(y>y))|l)))))|v) | 0 | 1 | 1 | 0 | not entailment |
(y&(v|((y|l)|h))) | ((l|~((y>l)))|v) | 1 | 1 | 1 | 0 | entailment |
(h&~(((v&y)|(l&l)))) | ((((l|h)>(h|h))|((h&(l&v))&v))>h) | 1 | 0 | 1 | 0 | entailment |
(y&(v|((y|l)|h))) | ((((l|h)>(h|h))|((h&(l&v))&v))>h) | 0 | 0 | 1 | 0 | not entailment |
(h&~(((v&y)|(l&l)))) | ((l|~((y>l)))|v) | 0 | 1 | 1 | 0 | not entailment |
(y&~((h&l))) | (~((l&~((y&v))))|~(v)) | 1 | 0 | 0 | 0 | entailment |
(~(y)&(~(~((h&v)))&h)) | ((h&l)|(l>~(((l|l)|((v>v)>(l|~(h))))))) | 1 | 0 | 0 | 0 | entailment |
(y&~((h&l))) | ((h&l)|(l>~(((l|l)|((v>v)>(l|~(h))))))) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&(~(~((h&v)))&h)) | (~((l&~((y&v))))|~(v)) | 0 | 1 | 0 | 0 | not entailment |
(((v|l)|(h|(v|h)))>(h&v)) | (v>((h|y)&v)) | 1 | 1 | 0 | 0 | entailment |
~(((l|(l|(h&v)))>y)) | ~((y&~(((((h&v)|(v>(h>h)))>h)>(h&l))))) | 1 | 0 | 1 | 0 | entailment |
(((v|l)|(h|(v|h)))>(h&v)) | ~((y&~(((((h&v)|(v>(h>h)))>h)>(h&l))))) | 0 | 0 | 0 | 0 | not entailment |
~(((l|(l|(h&v)))>y)) | (v>((h|y)&v)) | 0 | 1 | 1 | 0 | not entailment |
~(l) | ~((l&(v|(v&~(v))))) | 1 | 0 | 0 | 0 | entailment |
(~(~(~((y>h))))&(h|l)) | ~(((l|(l&((v|h)>y)))>h)) | 1 | 1 | 0 | 0 | entailment |
~(l) | ~(((l|(l&((v|h)>y)))>h)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~((y>h))))&(h|l)) | ~((l&(v|(v&~(v))))) | 0 | 1 | 0 | 0 | not entailment |
(((y|v)|((h|l)>y))&(h|(l|h))) | ((~(l)&h)|l) | 1 | 1 | 1 | 1 | entailment |
~((y>(~((~(l)&((v|~((l|h)))|h)))|v))) | (~(y)>((h|h)|~((v|l)))) | 1 | 1 | 1 | 1 | entailment |
(((y|v)|((h|l)>y))&(h|(l|h))) | (~(y)>((h|h)|~((v|l)))) | 0 | 1 | 1 | 0 | not entailment |
~((y>(~((~(l)&((v|~((l|h)))|h)))|v))) | ((~(l)&h)|l) | 0 | 1 | 1 | 0 | not entailment |
((y|h)&h) | ((v|h)|((h|(l&h))&((h|v)&l))) | 1 | 0 | 0 | 0 | entailment |
((y|(y>(v|((v|v)|y))))&(~(y)>v)) | ((l>v)|((v|(y&l))|v)) | 1 | 1 | 0 | 0 | entailment |
((y|h)&h) | ((l>v)|((v|(y&l))|v)) | 0 | 0 | 0 | 0 | not entailment |
((y|(y>(v|((v|v)|y))))&(~(y)>v)) | ((v|h)|((h|(l&h))&((h|v)&l))) | 0 | 1 | 0 | 0 | not entailment |
((~((l&l))>(l|l))&~(v)) | (((y|h)>(l>(v>~(h))))|~((l&l))) | 1 | 0 | 0 | 0 | entailment |
(y&(h>(y&v))) | ((h|h)>(v|y)) | 1 | 1 | 1 | 1 | entailment |
((~((l&l))>(l|l))&~(v)) | ((h|h)>(v|y)) | 0 | 1 | 0 | 0 | not entailment |
(y&(h>(y&v))) | (((y|h)>(l>(v>~(h))))|~((l&l))) | 0 | 0 | 0 | 0 | not entailment |
(((u>u)&((a&u)&(~((u&n))>n)))&(a&u)) | ~(~(((n|n)&a))) | 1 | 1 | 1 | 1 | entailment |
~(((a|u)|~((u|(((u|n)|(n&(n&n)))&n))))) | ~(a) | 1 | 1 | 1 | 1 | entailment |
(((u>u)&((a&u)&(~((u&n))>n)))&(a&u)) | ~(a) | 0 | 1 | 1 | 0 | not entailment |
~(((a|u)|~((u|(((u|n)|(n&(n&n)))&n))))) | ~(~(((n|n)&a))) | 0 | 1 | 1 | 0 | not entailment |
(~(n)&u) | ((a>(a>n))|u) | 1 | 0 | 0 | 0 | entailment |
~((a>((n&~(u))|u))) | (~(~(~(((a|a)>(u&a)))))|~(~(n))) | 1 | 0 | 1 | 0 | entailment |
(~(n)&u) | (~(~(~(((a|a)>(u&a)))))|~(~(n))) | 0 | 0 | 0 | 0 | not entailment |
~((a>((n&~(u))|u))) | ((a>(a>n))|u) | 0 | 1 | 1 | 0 | not entailment |
(((n>(~(u)&n))&(u>u))>a) | (a|u) | 1 | 1 | 1 | 1 | entailment |
~((((u&a)|(n|n))>(n&u))) | (n|u) | 1 | 1 | 1 | 1 | entailment |
(((n>(~(u)&n))&(u>u))>a) | (n|u) | 0 | 1 | 1 | 1 | not entailment |
~((((u&a)|(n|n))>(n&u))) | (a|u) | 0 | 1 | 1 | 1 | not entailment |
((u>((a&n)>n))>((u&u)&a)) | ((((a>~((a>a)))&(n>n))>(n&(n>u)))|~(n)) | 1 | 0 | 1 | 0 | entailment |
~(~(((n&(a&u))|n))) | ~(((~((u>((a|n)>n)))&(a|(u>n)))&(n|u))) | 1 | 0 | 1 | 0 | entailment |
((u>((a&n)>n))>((u&u)&a)) | ~(((~((u>((a|n)>n)))&(a|(u>n)))&(n|u))) | 0 | 0 | 1 | 0 | not entailment |
~(~(((n&(a&u))|n))) | ((((a>~((a>a)))&(n>n))>(n&(n>u)))|~(n)) | 0 | 0 | 1 | 0 | not entailment |
~((n>u)) | (a|((a>u)&n)) | 1 | 0 | 0 | 0 | entailment |
(a|u) | (a|(u|a)) | 1 | 0 | 1 | 1 | entailment |
~((n>u)) | (a|(u|a)) | 0 | 1 | 0 | 0 | not entailment |
(a|u) | (a|((a>u)&n)) | 0 | 0 | 0 | 0 | not entailment |
(~((n>a))&(u|u)) | ((u&a)>~(((~(a)|n)&(n|(u|u))))) | 1 | 0 | 1 | 0 | entailment |
(u&(u&a)) | (((~(~((a>(u&u))))&u)>(~(n)|(n>n)))>a) | 1 | 0 | 0 | 0 | entailment |
(~((n>a))&(u|u)) | (((~(~((a>(u&u))))&u)>(~(n)|(n>n)))>a) | 0 | 0 | 1 | 0 | not entailment |
(u&(u&a)) | ((u&a)>~(((~(a)|n)&(n|(u|u))))) | 0 | 0 | 0 | 0 | not entailment |
((u>u)>n) | (u>n) | 1 | 1 | 1 | 1 | entailment |
~(~(u)) | (u|u) | 1 | 1 | 1 | 1 | entailment |
((u>u)>n) | (u|u) | 0 | 1 | 1 | 1 | not entailment |
~(~(u)) | (u>n) | 0 | 1 | 0 | 0 | not entailment |
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