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|(p|j))&(s|s)) | ((b&~((p|((l>b)>s))))>~((k>~((j>k))))) | 1 | 0 | 0 | 0 | entailment |
~((s|~((j|((p|j)>(p|s)))))) | (~((~((j&s))&s))|p) | 1 | 1 | 1 | 1 | entailment |
((b|(p|j))&(s|s)) | (~((~((j&s))&s))|p) | 0 | 0 | 1 | 0 | not entailment |
~((s|~((j|((p|j)>(p|s)))))) | ((b&~((p|((l>b)>s))))>~((k>~((j>k))))) | 0 | 0 | 0 | 0 | not entailment |
(~(k)&l) | (((s|j)&k)|(((b>k)&b)>l)) | 1 | 0 | 0 | 0 | entailment |
(((((((p>p)|~(k))&(p|k))|(p|k))>l)>s)&p) | (~(k)>p) | 1 | 1 | 1 | 1 | entailment |
(~(k)&l) | (~(k)>p) | 0 | 1 | 0 | 0 | not entailment |
(((((((p>p)|~(k))&(p|k))|(p|k))>l)>s)&p) | (((s|j)&k)|(((b>k)&b)>l)) | 0 | 1 | 0 | 0 | not entailment |
((s&k)|~(((b&j)|(k>k)))) | (~(s)>~(k)) | 1 | 1 | 1 | 1 | entailment |
~(~(p)) | (p|l) | 1 | 1 | 0 | 0 | entailment |
((s&k)|~(((b&j)|(k>k)))) | (p|l) | 0 | 1 | 0 | 0 | not entailment |
~(~(p)) | (~(s)>~(k)) | 0 | 0 | 0 | 0 | not entailment |
(l&s) | ((s&b)|l) | 1 | 0 | 0 | 0 | entailment |
((k&s)&(k|(s|p))) | (b|k) | 1 | 1 | 0 | 0 | entailment |
(l&s) | (b|k) | 0 | 1 | 0 | 0 | not entailment |
((k&s)&(k|(s|p))) | ((s&b)|l) | 0 | 1 | 0 | 0 | not entailment |
~((((~(b)|(j|k))&(p>(k>j)))|(s>j))) | ((j|s)|((~(p)&k)|l)) | 1 | 1 | 0 | 0 | entailment |
~((k>s)) | (k|~(((((l|l)>~(k))&p)&(b|l)))) | 1 | 0 | 0 | 0 | entailment |
~((((~(b)|(j|k))&(p>(k>j)))|(s>j))) | (k|~(((((l|l)>~(k))&p)&(b|l)))) | 0 | 1 | 0 | 0 | not entailment |
~((k>s)) | ((j|s)|((~(p)&k)|l)) | 0 | 0 | 0 | 0 | not entailment |
((l&((p|b)>k))&((p|k)|p)) | ((k&k)|(l>~((p|p)))) | 1 | 1 | 1 | 0 | entailment |
~((((s>k)>(s&(~(j)|s)))>k)) | ~(((~(((k&s)>l))>((p>(l|j))|j))&k)) | 1 | 0 | 0 | 0 | entailment |
((l&((p|b)>k))&((p|k)|p)) | ~(((~(((k&s)>l))>((p>(l|j))|j))&k)) | 0 | 0 | 0 | 0 | not entailment |
~((((s>k)>(s&(~(j)|s)))>k)) | ((k&k)|(l>~((p|p)))) | 0 | 1 | 0 | 0 | not entailment |
((((j>~(s))&p)&l)&(k|~(((l&l)|l)))) | ((s|(j>(p|(b&k))))|(s&(s|j))) | 1 | 1 | 0 | 0 | entailment |
(~(l)&((k>(s|p))|b)) | ~(~(~(l))) | 1 | 1 | 1 | 1 | entailment |
((((j>~(s))&p)&l)&(k|~(((l&l)|l)))) | ~(~(~(l))) | 0 | 1 | 1 | 1 | not entailment |
(~(l)&((k>(s|p))|b)) | ((s|(j>(p|(b&k))))|(s&(s|j))) | 0 | 0 | 0 | 0 | not entailment |
~(~(k)) | (s>((b>(b>k))|(s&k))) | 1 | 0 | 0 | 0 | entailment |
~((j|k)) | ~((((l>p)|~(k))&k)) | 1 | 0 | 0 | 0 | entailment |
~(~(k)) | ~((((l>p)|~(k))&k)) | 0 | 0 | 0 | 0 | not entailment |
~((j|k)) | (s>((b>(b>k))|(s&k))) | 0 | 0 | 0 | 0 | not entailment |
((((c>c)|o)>j)&o) | ~(~(~(~((c>(b>o)))))) | 1 | 0 | 0 | 0 | entailment |
((~((j>j))>(c|c))>b) | (j>b) | 1 | 1 | 1 | 1 | entailment |
((((c>c)|o)>j)&o) | (j>b) | 0 | 1 | 0 | 0 | not entailment |
((~((j>j))>(c|c))>b) | ~(~(~(~((c>(b>o)))))) | 0 | 0 | 0 | 0 | not entailment |
(j|~((c|b))) | (((b>j)&(c>(j|o)))|c) | 1 | 0 | 0 | 0 | entailment |
((b>~((b>((b&j)|(j>(~((o>o))>c))))))>o) | ((o|o)|(((b|(c&o))&b)&b)) | 1 | 1 | 1 | 1 | entailment |
(j|~((c|b))) | ((o|o)|(((b|(c&o))&b)&b)) | 0 | 0 | 0 | 0 | not entailment |
((b>~((b>((b&j)|(j>(~((o>o))>c))))))>o) | (((b>j)&(c>(j|o)))|c) | 0 | 1 | 1 | 0 | not entailment |
(~(~((c&j)))&(o&b)) | ((c&j)&j) | 1 | 1 | 1 | 1 | entailment |
~(((j|(~(c)>o))|(o&(b|j)))) | (~((c&o))&((j>c)|((j|o)&o))) | 1 | 1 | 1 | 0 | entailment |
(~(~((c&j)))&(o&b)) | (~((c&o))&((j>c)|((j|o)&o))) | 0 | 0 | 1 | 0 | not entailment |
~(((j|(~(c)>o))|(o&(b|j)))) | ((c&j)&j) | 0 | 1 | 1 | 0 | not entailment |
(((b&c)&~(j))&b) | ((o|o)>b) | 1 | 1 | 0 | 0 | entailment |
~((~(~((j&j)))>b)) | (b>(o&c)) | 1 | 1 | 0 | 0 | entailment |
(((b&c)&~(j))&b) | (b>(o&c)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((j&j)))>b)) | ((o|o)>b) | 0 | 1 | 0 | 0 | not entailment |
~((~(((b>c)>((b|j)&~(o))))&(o|c))) | (~(c)>~(~((o>b)))) | 1 | 1 | 1 | 0 | entailment |
(o>(j&(c>~(c)))) | ((o>(c&~((c&(c&b)))))|(j&(j|(b>c)))) | 1 | 0 | 0 | 0 | entailment |
~((~(((b>c)>((b|j)&~(o))))&(o|c))) | ((o>(c&~((c&(c&b)))))|(j&(j|(b>c)))) | 0 | 1 | 1 | 0 | not entailment |
(o>(j&(c>~(c)))) | (~(c)>~(~((o>b)))) | 0 | 0 | 0 | 0 | not entailment |
~((j|o)) | (o>((j&o)&j)) | 1 | 0 | 1 | 0 | entailment |
(((c>((j>b)>c))|((c>b)|b))&(b&o)) | ((~(o)>c)|c) | 1 | 1 | 1 | 1 | entailment |
~((j|o)) | ((~(o)>c)|c) | 0 | 0 | 0 | 0 | not entailment |
(((c>((j>b)>c))|((c>b)|b))&(b&o)) | (o>((j&o)&j)) | 0 | 1 | 1 | 0 | not entailment |
((b&j)&j) | (j|(c&c)) | 1 | 1 | 0 | 0 | entailment |
~((b>((b>j)&j))) | (o|((j>c)|(c&((b>o)>(j&b))))) | 1 | 0 | 0 | 0 | entailment |
((b&j)&j) | (o|((j>c)|(c&((b>o)>(j&b))))) | 0 | 0 | 0 | 0 | not entailment |
~((b>((b>j)&j))) | (j|(c&c)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((~(o)&(c>~(o)))&b))) | (o>((b|j)|~(o))) | 1 | 1 | 0 | 0 | entailment |
(j>~((((o&c)>(~(o)&o))|c))) | ((c&b)|~((b&(j&b)))) | 1 | 1 | 0 | 0 | entailment |
~(~(((~(o)&(c>~(o)))&b))) | ((c&b)|~((b&(j&b)))) | 0 | 1 | 0 | 0 | not entailment |
(j>~((((o&c)>(~(o)&o))|c))) | (o>((b|j)|~(o))) | 0 | 1 | 0 | 0 | not entailment |
((o>~(((b&j)|c)))&(o&(j>~((b&(c>j)))))) | (~((o&((b&o)|c)))>((j>~(c))|~(j))) | 1 | 1 | 1 | 0 | entailment |
(c&~(o)) | (c&(~(~(((b&b)>((o>j)|j))))>c)) | 1 | 0 | 0 | 0 | entailment |
((o>~(((b&j)|c)))&(o&(j>~((b&(c>j)))))) | (c&(~(~(((b&b)>((o>j)|j))))>c)) | 0 | 1 | 1 | 0 | not entailment |
(c&~(o)) | (~((o&((b&o)|c)))>((j>~(c))|~(j))) | 0 | 0 | 0 | 0 | not entailment |
~(((((j&c)&((b&c)|~(b)))>~(o))>c)) | ((o&c)>(((c&o)|(o|j))>((o>(b>o))>j))) | 1 | 1 | 1 | 0 | entailment |
(o&c) | ((b&o)|c) | 1 | 0 | 0 | 0 | entailment |
~(((((j&c)&((b&c)|~(b)))>~(o))>c)) | ((b&o)|c) | 0 | 1 | 1 | 0 | not entailment |
(o&c) | ((o&c)>(((c&o)|(o|j))>((o>(b>o))>j))) | 0 | 0 | 0 | 0 | not entailment |
((c>o)&c) | (c&(~(o)>b)) | 1 | 0 | 0 | 0 | entailment |
~(((((c|j)>j)>o)|(b&j))) | ((c>j)|~(o)) | 1 | 1 | 1 | 1 | entailment |
((c>o)&c) | ((c>j)|~(o)) | 0 | 0 | 0 | 0 | not entailment |
~(((((c|j)>j)>o)|(b&j))) | (c&(~(o)>b)) | 0 | 1 | 1 | 0 | not entailment |
(((b>(b>b))|(~(j)>((o|o)|(b>j))))>~(o)) | (o>((((o|c)|~(c))>~(b))>c)) | 1 | 1 | 0 | 0 | entailment |
((c>(((b&o)|c)|~(j)))&(o&~((o>c)))) | ((((j>j)>c)>~(~((~(b)>~(j)))))|b) | 1 | 1 | 1 | 0 | entailment |
(((b>(b>b))|(~(j)>((o|o)|(b>j))))>~(o)) | ((((j>j)>c)>~(~((~(b)>~(j)))))|b) | 0 | 1 | 0 | 0 | not entailment |
((c>(((b&o)|c)|~(j)))&(o&~((o>c)))) | (o>((((o|c)|~(c))>~(b))>c)) | 0 | 1 | 1 | 0 | not entailment |
~((~(~((b>c)))>((b|(o&c))|c))) | ~((c&(o>c))) | 1 | 1 | 1 | 0 | entailment |
(c|j) | ~(~(((c&c)|(~((j&b))>(j|j))))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((b>c)))>((b|(o&c))|c))) | ~(~(((c&c)|(~((j&b))>(j|j))))) | 0 | 1 | 0 | 0 | not entailment |
(c|j) | ~((c&(o>c))) | 0 | 0 | 0 | 0 | not entailment |
(o&((~(~(o))&~(o))>((o|o)>o))) | (o&(o>o)) | 1 | 1 | 1 | 1 | entailment |
(((o>o)|o)>~((~(o)>(o|o)))) | ~((o&o)) | 1 | 1 | 1 | 1 | entailment |
(o&((~(~(o))&~(o))>((o|o)>o))) | ~((o&o)) | 0 | 1 | 1 | 1 | not entailment |
(((o>o)|o)>~((~(o)>(o|o)))) | (o&(o>o)) | 0 | 1 | 1 | 1 | not entailment |
(((o|o)|(o&o))&o) | (((o|(o>o))|o)>o) | 1 | 1 | 1 | 0 | entailment |
~((o&((o&o)&(o>(o>o))))) | ~(o) | 1 | 1 | 1 | 1 | entailment |
(((o|o)|(o&o))&o) | ~(o) | 0 | 1 | 1 | 0 | not entailment |
~((o&((o&o)&(o>(o>o))))) | (((o|(o>o))|o)>o) | 0 | 1 | 1 | 1 | not entailment |
(~((~(((o>o)>(o&o)))|~(o)))|(o&o)) | ((o&o)|((o>o)>o)) | 1 | 1 | 1 | 1 | entailment |
((o>o)>~((o&o))) | ~((~(o)>~(~(o)))) | 1 | 0 | 1 | 1 | entailment |
(~((~(((o>o)>(o&o)))|~(o)))|(o&o)) | ~((~(o)>~(~(o)))) | 0 | 1 | 1 | 1 | not entailment |
((o>o)>~((o&o))) | ((o&o)|((o>o)>o)) | 0 | 1 | 1 | 1 | not entailment |
((o&(o|o))|((o|o)|o)) | (o|o) | 1 | 1 | 1 | 1 | entailment |
(~(o)&(o>~((o|o)))) | ~(((o|o)&o)) | 1 | 1 | 1 | 1 | entailment |
((o&(o|o))|((o|o)|o)) | ~(((o|o)&o)) | 0 | 1 | 1 | 0 | not entailment |
(~(o)&(o>~((o|o)))) | (o|o) | 0 | 1 | 1 | 0 | not entailment |
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