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&(~(~(v))|(g&v)))&(u|v)) | (((r&b)>(q>((r>(q>r))>r)))>y) | 0 | 1 | 0 | 0 | not entailment |
((y>((u|r)|(g|j)))&b) | (~((y&y))>((u&(j&(v&b)))|b)) | 1 | 0 | 0 | 0 | entailment |
((~((u>(~(j)&(j&g))))&(j&((j|b)&q)))&v) | ~(~((q&j))) | 1 | 1 | 1 | 1 | entailment |
((y>((u|r)|(g|j)))&b) | ~(~((q&j))) | 0 | 1 | 0 | 0 | not entailment |
((~((u>(~(j)&(j&g))))&(j&((j|b)&q)))&v) | (~((y&y))>((u&(j&(v&b)))|b)) | 0 | 1 | 0 | 0 | not entailment |
((g|r)&((~(u)|v)&((y&b)&v))) | ((g&~(((c|j)|b)))>c) | 1 | 1 | 0 | 0 | entailment |
~((q>(~(q)|(b&y)))) | (((~(u)>((y>y)|(j&c)))|b)&(q|~(y))) | 1 | 0 | 0 | 0 | entailment |
((g|r)&((~(u)|v)&((y&b)&v))) | (((~(u)>((y>y)|(j&c)))|b)&(q|~(y))) | 0 | 0 | 0 | 0 | not entailment |
~((q>(~(q)|(b&y)))) | ((g&~(((c|j)|b)))>c) | 0 | 1 | 0 | 0 | not entailment |
~((((~(((j|y)&q))>(g|r))>((u>g)|r))|v)) | ~(~(((r&c)>(g|(b&(c&(r|(u|g)))))))) | 1 | 1 | 0 | 0 | entailment |
((v&(j>(r&(v&y))))&(c>(~(q)&c))) | (c>v) | 1 | 1 | 1 | 1 | entailment |
~((((~(((j|y)&q))>(g|r))>((u>g)|r))|v)) | (c>v) | 0 | 1 | 0 | 0 | not entailment |
((v&(j>(r&(v&y))))&(c>(~(q)&c))) | ~(~(((r&c)>(g|(b&(c&(r|(u|g)))))))) | 0 | 0 | 0 | 0 | not entailment |
~((v>~(c))) | ((((c>g)>c)&v)|(g>j)) | 1 | 0 | 0 | 0 | entailment |
~(((q|b)>((((v|v)&v)|(u&v))|(~(u)|j)))) | ~(~(~(((c|~(j))&j)))) | 1 | 1 | 0 | 0 | entailment |
~((v>~(c))) | ~(~(~(((c|~(j))&j)))) | 0 | 0 | 0 | 0 | not entailment |
~(((q|b)>((((v|v)&v)|(u&v))|(~(u)|j)))) | ((((c>g)>c)&v)|(g>j)) | 0 | 1 | 0 | 0 | not entailment |
~((((y>(q&b))>r)|v)) | ((~((r>y))>(j&c))>~(((g|j)&(y&r)))) | 1 | 0 | 0 | 0 | entailment |
((q&v)&(v>g)) | (~(r)>(~(v)>~(~(c)))) | 1 | 0 | 0 | 0 | entailment |
~((((y>(q&b))>r)|v)) | (~(r)>(~(v)>~(~(c)))) | 0 | 0 | 0 | 0 | not entailment |
((q&v)&(v>g)) | ((~((r>y))>(j&c))>~(((g|j)&(y&r)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((c&q)&(~((q&y))&~(~(v)))))) | ~(~((q>(c>v)))) | 1 | 1 | 1 | 0 | entailment |
(((~(y)|c)>((v|c)&r))&((j&b)|~(b))) | (((c&q)&g)>(c&r)) | 1 | 1 | 0 | 0 | entailment |
~(~(((c&q)&(~((q&y))&~(~(v)))))) | (((c&q)&g)>(c&r)) | 0 | 1 | 0 | 0 | not entailment |
(((~(y)|c)>((v|c)&r))&((j&b)|~(b))) | ~(~((q>(c>v)))) | 0 | 1 | 0 | 0 | not entailment |
(((q>(v>(g&(b|y))))|(b>(u&g)))&~((u>q))) | (~(q)|(r&r)) | 1 | 1 | 0 | 0 | entailment |
(~(~((j|~(((r>v)|(c>~((g|v))))))))&b) | ((b|~(((u&j)|(y|q))))|(r|b)) | 1 | 1 | 0 | 0 | entailment |
(((q>(v>(g&(b|y))))|(b>(u&g)))&~((u>q))) | ((b|~(((u&j)|(y|q))))|(r|b)) | 0 | 1 | 0 | 0 | not entailment |
(~(~((j|~(((r>v)|(c>~((g|v))))))))&b) | (~(q)|(r&r)) | 0 | 1 | 0 | 0 | not entailment |
~((c>((y&~(r))|((r|u)|q)))) | ~((((v&y)&(j|(v&y)))&q)) | 1 | 1 | 0 | 0 | entailment |
~(~(g)) | ~(~(((y|g)|v))) | 1 | 0 | 0 | 0 | entailment |
~((c>((y&~(r))|((r|u)|q)))) | ~(~(((y|g)|v))) | 0 | 1 | 0 | 0 | not entailment |
~(~(g)) | ~((((v&y)&(j|(v&y)))&q)) | 0 | 0 | 0 | 0 | not entailment |
~((~((q&~(c)))|~(r))) | (~(((v|(y>(j>v)))&(~((r>y))&c)))&(q>q)) | 1 | 0 | 0 | 0 | entailment |
(~((g&u))&(u&(~(j)&v))) | ~(~((c|((r&g)>(u|(b&g)))))) | 1 | 0 | 0 | 0 | entailment |
~((~((q&~(c)))|~(r))) | ~(~((c|((r&g)>(u|(b&g)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((g&u))&(u&(~(j)&v))) | (~(((v|(y>(j>v)))&(~((r>y))&c)))&(q>q)) | 0 | 0 | 0 | 0 | not entailment |
~(((c|v)|~((r|g)))) | ((c&(v>b))>(y&(r>c))) | 1 | 1 | 0 | 0 | entailment |
((~((u&c))|(v|(v>v)))>~(j)) | ((c|((g|j)&((c|(g&j))>q)))|((g&u)>v)) | 1 | 0 | 0 | 0 | entailment |
~(((c|v)|~((r|g)))) | ((c|((g|j)&((c|(g&j))>q)))|((g&u)>v)) | 0 | 0 | 0 | 0 | not entailment |
((~((u&c))|(v|(v>v)))>~(j)) | ((c&(v>b))>(y&(r>c))) | 0 | 1 | 0 | 0 | not entailment |
~((y|u)) | (((y|y)&b)>~((r>(c>q)))) | 1 | 0 | 0 | 0 | entailment |
((r&((b|c)&g))&(v&((g&u)&r))) | ((r>u)>(((q>(r|g))>~(r))>((r>j)>r))) | 1 | 0 | 0 | 0 | entailment |
~((y|u)) | ((r>u)>(((q>(r|g))>~(r))>((r>j)>r))) | 0 | 0 | 0 | 0 | not entailment |
((r&((b|c)&g))&(v&((g&u)&r))) | (((y|y)&b)>~((r>(c>q)))) | 0 | 1 | 0 | 0 | not entailment |
(((r>((c&j)>~(g)))>j)&y) | (y|r) | 1 | 1 | 1 | 1 | entailment |
(v&((((c>j)&(j|((r&u)|u)))|v)>(r>q))) | ((((j>~(c))&q)>v)|(g|u)) | 1 | 1 | 0 | 0 | entailment |
(((r>((c&j)>~(g)))>j)&y) | ((((j>~(c))&q)>v)|(g|u)) | 0 | 1 | 0 | 0 | not entailment |
(v&((((c>j)&(j|((r&u)|u)))|v)>(r>q))) | (y|r) | 0 | 1 | 0 | 0 | not entailment |
~(((((j&b)&(r>q))|b)|((g|j)>(v>c)))) | (((r&(v&u))|(j|q))>(~(g)|v)) | 1 | 1 | 0 | 0 | entailment |
((((~(~(y))&~(q))>c)>g)&c) | (r>(c|q)) | 1 | 1 | 0 | 0 | entailment |
~(((((j&b)&(r>q))|b)|((g|j)>(v>c)))) | (r>(c|q)) | 0 | 1 | 1 | 0 | not entailment |
((((~(~(y))&~(q))>c)>g)&c) | (((r&(v&u))|(j|q))>(~(g)|v)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((k|~((((k>k)&k)&k)))>~((k&k))))) | ~(~((~(k)&((k&k)>k)))) | 1 | 1 | 1 | 1 | entailment |
((k|(((k&k)>k)|k))&(k&k)) | ((((k|k)>(k&k))|(k&k))>k) | 1 | 1 | 1 | 1 | entailment |
~(~(((k|~((((k>k)&k)&k)))>~((k&k))))) | ((((k|k)>(k&k))|(k&k))>k) | 0 | 1 | 1 | 1 | not entailment |
((k|(((k&k)>k)|k))&(k&k)) | ~(~((~(k)&((k&k)>k)))) | 0 | 1 | 1 | 1 | not entailment |
(~(k)&~(k)) | ~(((k&~(((k&k)&k)))|k)) | 1 | 0 | 1 | 0 | entailment |
((k>k)&((k>(k|(k|k)))&k)) | (k|((k|k)&(k>k))) | 1 | 1 | 1 | 1 | entailment |
(~(k)&~(k)) | (k|((k|k)&(k>k))) | 0 | 0 | 1 | 0 | not entailment |
((k>k)&((k>(k|(k|k)))&k)) | ~(((k&~(((k&k)&k)))|k)) | 0 | 1 | 1 | 1 | not entailment |
~((~((k|k))&(~(~(((k&(k>k))>k)))|k))) | (~(((k>k)&k))>(((k|(k>k))>(k>k))>k)) | 1 | 1 | 1 | 1 | entailment |
~((k&k)) | ~(((k>k)>k)) | 1 | 0 | 1 | 0 | entailment |
~((~((k|k))&(~(~(((k&(k>k))>k)))|k))) | ~(((k>k)>k)) | 0 | 1 | 1 | 1 | not entailment |
~((k&k)) | (~(((k>k)&k))>(((k|(k>k))>(k>k))>k)) | 0 | 0 | 1 | 0 | not entailment |
(k|(~(~(k))|(k|k))) | ((k|k)&(k&(k&k))) | 1 | 1 | 1 | 1 | entailment |
~(k) | ~((~(~(((~(k)>~(k))&k)))&((k&k)&k))) | 1 | 0 | 1 | 0 | entailment |
(k|(~(~(k))|(k|k))) | ~((~(~(((~(k)>~(k))&k)))&((k&k)&k))) | 0 | 0 | 1 | 0 | not entailment |
~(k) | ((k|k)&(k&(k&k))) | 0 | 0 | 1 | 0 | not entailment |
(((k>k)>k)&(k&(k|k))) | (k|((k&k)&((k|k)>k))) | 1 | 1 | 1 | 1 | entailment |
(k>~(((((k>k)|(k|k))>(k&~(k)))>k))) | (~((k&~((k>k))))>~(k)) | 1 | 1 | 1 | 1 | entailment |
(((k>k)>k)&(k&(k|k))) | (~((k&~((k>k))))>~(k)) | 0 | 0 | 1 | 1 | not entailment |
(k>~(((((k>k)|(k|k))>(k&~(k)))>k))) | (k|((k&k)&((k|k)>k))) | 0 | 1 | 1 | 1 | not entailment |
(~(~(~(~((k|k)))))&(k>(k|~((k|k))))) | (k&k) | 1 | 1 | 1 | 1 | entailment |
~((((k&k)|~(~(k)))&(((k&k)&(k>k))|k))) | ~(((~((k>(k>k)))|k)|(((k&k)&(k>k))&k))) | 1 | 1 | 1 | 1 | entailment |
(~(~(~(~((k|k)))))&(k>(k|~((k|k))))) | ~(((~((k>(k>k)))|k)|(((k&k)&(k>k))&k))) | 0 | 1 | 1 | 1 | not entailment |
~((((k&k)|~(~(k)))&(((k&k)&(k>k))|k))) | (k&k) | 0 | 1 | 1 | 1 | not entailment |
((k>k)>(k&(((k>k)&(k&(k&k)))|k))) | (~(~(~(~(~((k&(k>k)))))))>(k&k)) | 1 | 0 | 1 | 1 | entailment |
~((~(k)>~((~((k&k))&~(k))))) | ~(((((k&k)>k)&k)|k)) | 1 | 1 | 1 | 0 | entailment |
((k>k)>(k&(((k>k)&(k&(k&k)))|k))) | ~(((((k&k)>k)&k)|k)) | 0 | 1 | 1 | 1 | not entailment |
~((~(k)>~((~((k&k))&~(k))))) | (~(~(~(~(~((k&(k>k)))))))>(k&k)) | 0 | 0 | 1 | 0 | not entailment |
(a&(m>n)) | ((((m&(a&m))|(a|(m|a)))>(m&m))>m) | 1 | 0 | 1 | 0 | entailment |
~(((a>n)>(n>a))) | ((((m|n)&a)|(m&(a&m)))|(n&n)) | 1 | 0 | 0 | 0 | entailment |
(a&(m>n)) | ((((m|n)&a)|(m&(a&m)))|(n&n)) | 0 | 0 | 1 | 0 | not entailment |
~(((a>n)>(n>a))) | ((((m&(a&m))|(a|(m|a)))>(m&m))>m) | 0 | 0 | 0 | 0 | not entailment |
((m>a)&m) | ((n>(a>((n|n)&m)))&a) | 1 | 0 | 0 | 0 | entailment |
~((~(n)&~((n&(n|m))))) | (a>n) | 1 | 1 | 0 | 0 | entailment |
((m>a)&m) | (a>n) | 0 | 1 | 0 | 0 | not entailment |
~((~(n)&~((n&(n|m))))) | ((n>(a>((n|n)&m)))&a) | 0 | 1 | 0 | 0 | not entailment |
((a|a)>n) | (((n&m)>a)>((a|a)>n)) | 1 | 0 | 0 | 0 | entailment |
(a|(m&(a&~(((n|~(a))&((m|n)|n)))))) | (~(a)>((n&~(n))|n)) | 1 | 1 | 1 | 0 | entailment |
((a|a)>n) | (~(a)>((n&~(n))|n)) | 0 | 0 | 1 | 0 | not entailment |
(a|(m&(a&~(((n|~(a))&((m|n)|n)))))) | (((n&m)>a)>((a|a)>n)) | 0 | 1 | 1 | 0 | not entailment |
((~((m&(~(m)>m)))&n)|(a>n)) | ~(((a|n)&~(n))) | 1 | 1 | 1 | 0 | entailment |
((~((a&a))&m)|m) | (m|m) | 1 | 1 | 1 | 1 | entailment |
((~((m&(~(m)>m)))&n)|(a>n)) | (m|m) | 0 | 1 | 1 | 0 | not entailment |
((~((a&a))&m)|m) | ~(((a|n)&~(n))) | 0 | 1 | 0 | 0 | not entailment |
((~((((a|a)&m)|m))&n)&(a>n)) | ((m&(a>(m&m)))>~(((~(m)>n)&m))) | 1 | 0 | 1 | 0 | entailment |
(m&((n>(n|a))>~(a))) | (a>m) | 1 | 1 | 1 | 1 | entailment |
((~((((a|a)&m)|m))&n)&(a>n)) | (a>m) | 0 | 1 | 1 | 0 | not entailment |
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