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 |
|---|---|---|---|---|---|---|
(v&((j>f)>((j|o)&((v>f)|o)))) | ((~(b)|j)|v) | 1 | 1 | 0 | 0 | entailment |
(((b&k)&o)&k) | (v>k) | 1 | 1 | 0 | 0 | entailment |
(v&((j>f)>((j|o)&((v>f)|o)))) | (v>k) | 0 | 1 | 0 | 0 | not entailment |
(((b&k)&o)&k) | ((~(b)|j)|v) | 0 | 1 | 0 | 0 | not entailment |
~(((f|o)|~(((v&(v|f))&(~((f|b))&j))))) | ((((o|k)>(f>f))>b)|(k>(j|(f&v)))) | 1 | 1 | 0 | 0 | entailment |
(f&k) | (~((j&~(j)))&((k&k)|o)) | 1 | 0 | 0 | 0 | entailment |
~(((f|o)|~(((v&(v|f))&(~((f|b))&j))))) | (~((j&~(j)))&((k&k)|o)) | 0 | 1 | 0 | 0 | not entailment |
(f&k) | ((((o|k)>(f>f))>b)|(k>(j|(f&v)))) | 0 | 0 | 0 | 0 | not entailment |
(b&((o>j)|v)) | (~(b)>f) | 1 | 1 | 0 | 0 | entailment |
((v|(((f&~(o))&v)>b))>(v&v)) | ((j|(f&f))|~(~((v|j)))) | 1 | 1 | 0 | 0 | entailment |
(b&((o>j)|v)) | ((j|(f&f))|~(~((v|j)))) | 0 | 0 | 0 | 0 | not entailment |
((v|(((f&~(o))&v)>b))>(v&v)) | (~(b)>f) | 0 | 1 | 1 | 0 | not entailment |
((((b>b)|o)>(k>b))&(j|v)) | ((v&f)|(k>b)) | 1 | 1 | 0 | 0 | entailment |
(j&j) | (~((j>f))|f) | 1 | 0 | 0 | 0 | entailment |
((((b>b)|o)>(k>b))&(j|v)) | (~((j>f))|f) | 0 | 1 | 0 | 0 | not entailment |
(j&j) | ((v&f)|(k>b)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((((j>f)>f)&(v&b))&(k>(f|b))))) | ((o>~((~((((k&k)&j)&v))>(v|~(k)))))>b) | 1 | 0 | 0 | 0 | entailment |
~(((((k>v)>f)&~(f))>(~((j>o))|f))) | (~(~(f))|k) | 1 | 1 | 1 | 1 | entailment |
~(~(((((j>f)>f)&(v&b))&(k>(f|b))))) | (~(~(f))|k) | 0 | 1 | 1 | 0 | not entailment |
~(((((k>v)>f)&~(f))>(~((j>o))|f))) | ((o>~((~((((k&k)&j)&v))>(v|~(k)))))>b) | 0 | 0 | 0 | 0 | not entailment |
((b&((~(o)&(k&b))&b))&(f|(((o&v)>o)>f))) | ~(((((f|j)>f)&v)&~((~(b)>b)))) | 1 | 1 | 0 | 0 | entailment |
(~(f)&(o|f)) | (((b&v)|((o&(o>b))|(v|v)))|~(b)) | 1 | 0 | 0 | 0 | entailment |
((b&((~(o)&(k&b))&b))&(f|(((o&v)>o)>f))) | (((b&v)|((o&(o>b))|(v|v)))|~(b)) | 0 | 1 | 1 | 0 | not entailment |
(~(f)&(o|f)) | ~(((((f|j)>f)&v)&~((~(b)>b)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((b>f))|((b>(~(f)&k))&(o>(b|o))))) | ((~(j)|f)|(o>(b|(f&b)))) | 1 | 1 | 0 | 0 | entailment |
((v>b)&~(((b&(o|~(f)))|(~(k)&b)))) | ((((~(k)>j)|~((f>v)))|~((f&b)))|j) | 1 | 1 | 0 | 0 | entailment |
~((~((b>f))|((b>(~(f)&k))&(o>(b|o))))) | ((((~(k)>j)|~((f>v)))|~((f&b)))|j) | 0 | 1 | 0 | 0 | not entailment |
((v>b)&~(((b&(o|~(f)))|(~(k)&b)))) | ((~(j)|f)|(o>(b|(f&b)))) | 0 | 1 | 0 | 0 | not entailment |
(k|((v|(v|f))>~(v))) | ((k|(b|((j|o)>f)))|~((v&~(j)))) | 1 | 0 | 0 | 0 | entailment |
~(f) | ~(((f&(k>k))&((o|v)&f))) | 1 | 0 | 0 | 0 | entailment |
(k|((v|(v|f))>~(v))) | ~(((f&(k>k))&((o|v)&f))) | 0 | 0 | 0 | 0 | not entailment |
~(f) | ((k|(b|((j|o)>f)))|~((v&~(j)))) | 0 | 0 | 0 | 0 | not entailment |
(((f>f)>~((~(k)|o)))&((k>~(~(j)))|v)) | (((~(~(v))&(f&(f|f)))&b)|(b>k)) | 1 | 1 | 0 | 0 | entailment |
(b&~((j>((o|f)|~((b|k)))))) | (((b>((o&f)>v))&b)|~(v)) | 1 | 1 | 0 | 0 | entailment |
(((f>f)>~((~(k)|o)))&((k>~(~(j)))|v)) | (((b>((o&f)>v))&b)|~(v)) | 0 | 1 | 0 | 0 | not entailment |
(b&~((j>((o|f)|~((b|k)))))) | (((~(~(v))&(f&(f|f)))&b)|(b>k)) | 0 | 0 | 0 | 0 | not entailment |
((v>o)&(b&v)) | (v|j) | 1 | 1 | 0 | 0 | entailment |
((v>k)&(~((o|v))|(k>~(k)))) | (v>j) | 1 | 1 | 0 | 0 | entailment |
((v>o)&(b&v)) | (v>j) | 0 | 1 | 0 | 0 | not entailment |
((v>k)&(~((o|v))|(k>~(k)))) | (v|j) | 0 | 1 | 0 | 0 | not entailment |
(((o|v)&(k|b))&j) | ((b|k)|v) | 1 | 1 | 1 | 1 | entailment |
(f&j) | (~((k&v))|((f&(o|k))&j)) | 1 | 0 | 0 | 0 | entailment |
(((o|v)&(k|b))&j) | (~((k&v))|((f&(o|k))&j)) | 0 | 0 | 0 | 0 | not entailment |
(f&j) | ((b|k)|v) | 0 | 0 | 0 | 0 | not entailment |
(v&~(o)) | ((k>(~(f)>(o|k)))>(~(o)|~(v))) | 1 | 0 | 0 | 0 | entailment |
(((o|b)&o)&o) | (o|(((f&k)|(o&f))|b)) | 1 | 0 | 0 | 0 | entailment |
(v&~(o)) | (o|(((f&k)|(o&f))|b)) | 0 | 0 | 0 | 0 | not entailment |
(((o|b)&o)&o) | ((k>(~(f)>(o|k)))>(~(o)|~(v))) | 0 | 0 | 0 | 0 | not entailment |
~(((j|f)>f)) | (((v&(b|f))&(f&(v>f)))>~((~(v)|o))) | 1 | 0 | 0 | 0 | entailment |
(v|v) | ((v|k)|(b|(b|v))) | 1 | 0 | 0 | 0 | entailment |
~(((j|f)>f)) | ((v|k)|(b|(b|v))) | 0 | 0 | 0 | 0 | not entailment |
(v|v) | (((v&(b|f))&(f&(v>f)))>~((~(v)|o))) | 0 | 0 | 0 | 0 | not entailment |
~(((v>b)|((j&k)|f))) | ~(~(((((v|v)&f)|j)|((j>~(f))>v)))) | 1 | 0 | 1 | 0 | entailment |
(b&(((b>j)&k)>(~((b&k))>~((f|(b>k)))))) | ((b|(j>b))>(f|b)) | 1 | 1 | 1 | 0 | entailment |
~(((v>b)|((j&k)|f))) | ((b|(j>b))>(f|b)) | 0 | 1 | 1 | 0 | not entailment |
(b&(((b>j)&k)>(~((b&k))>~((f|(b>k)))))) | ~(~(((((v|v)&f)|j)|((j>~(f))>v)))) | 0 | 1 | 0 | 0 | not entailment |
~((j|~((o>f)))) | ((~(f)&((b&b)>((o>f)&~(~(k)))))>(o>v)) | 1 | 0 | 0 | 0 | entailment |
(~(((f>j)&(k>(v|(j&v)))))&~(f)) | (v|k) | 1 | 1 | 1 | 0 | entailment |
~((j|~((o>f)))) | (v|k) | 0 | 1 | 0 | 0 | not entailment |
(~(((f>j)&(k>(v|(j&v)))))&~(f)) | ((~(f)&((b&b)>((o>f)&~(~(k)))))>(o>v)) | 0 | 0 | 0 | 0 | not entailment |
~(((((b&j)&j)&j)|(o|v))) | ~((~(k)&o)) | 1 | 1 | 0 | 0 | entailment |
(f&f) | ((j|f)|j) | 1 | 0 | 0 | 0 | entailment |
~(((((b&j)&j)&j)|(o|v))) | ((j|f)|j) | 0 | 1 | 0 | 0 | not entailment |
(f&f) | ~((~(k)&o)) | 0 | 0 | 0 | 0 | not entailment |
~((f|c)) | (((c>c)|l)&~((((l|f)>c)&l))) | 1 | 0 | 0 | 0 | entailment |
(~((d&(l>c)))>c) | (l|(((c|d)|l)|c)) | 1 | 1 | 1 | 0 | entailment |
~((f|c)) | (l|(((c|d)|l)|c)) | 0 | 0 | 0 | 0 | not entailment |
(~((d&(l>c)))>c) | (((c>c)|l)&~((((l|f)>c)&l))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~(c)|(f&f))))) | (~(c)>~(~(~((f&(d&d)))))) | 1 | 0 | 0 | 0 | entailment |
(((f>(f|d))&l)|((l&l)&l)) | (l&~(~((d>~(~((c>c))))))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((~(c)|(f&f))))) | (l&~(~((d>~(~((c>c))))))) | 0 | 0 | 0 | 0 | not entailment |
(((f>(f|d))&l)|((l&l)&l)) | (~(c)>~(~(~((f&(d&d)))))) | 0 | 0 | 0 | 0 | not entailment |
((d>f)>(d|d)) | (c|(l>d)) | 1 | 1 | 0 | 0 | entailment |
~(~(~((~((f|f))|d)))) | (~(~((d>(l&~(l)))))|(d>f)) | 1 | 0 | 0 | 0 | entailment |
((d>f)>(d|d)) | (~(~((d>(l&~(l)))))|(d>f)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~((f|f))|d)))) | (c|(l>d)) | 0 | 1 | 0 | 0 | not entailment |
(c&~(l)) | ((l&(f|f))>(l>c)) | 1 | 0 | 0 | 0 | entailment |
(f&(~((f|~(d)))|d)) | ((l|d)&(l>l)) | 1 | 1 | 0 | 0 | entailment |
(c&~(l)) | ((l|d)&(l>l)) | 0 | 0 | 0 | 0 | not entailment |
(f&(~((f|~(d)))|d)) | ((l&(f|f))>(l>c)) | 0 | 1 | 0 | 0 | not entailment |
((d>c)&((((d&l)|(l&d))>c)&f)) | (((c>f)&(d>l))|~((f&(c>~(d))))) | 1 | 0 | 1 | 0 | entailment |
~(c) | (d>~((~(c)>c))) | 1 | 0 | 0 | 0 | entailment |
((d>c)&((((d&l)|(l&d))>c)&f)) | (d>~((~(c)>c))) | 0 | 1 | 1 | 0 | not entailment |
~(c) | (((c>f)&(d>l))|~((f&(c>~(d))))) | 0 | 0 | 0 | 0 | not entailment |
(((f&(f&d))>l)&l) | ~((~((l|c))&f)) | 1 | 1 | 0 | 0 | entailment |
((l>(c&~(f)))&((f>l)|(d>l))) | (~(f)|~((((f|~(c))&f)&~(~(d))))) | 1 | 0 | 1 | 1 | entailment |
(((f&(f&d))>l)&l) | (~(f)|~((((f|~(c))&f)&~(~(d))))) | 0 | 0 | 0 | 0 | not entailment |
((l>(c&~(f)))&((f>l)|(d>l))) | ~((~((l|c))&f)) | 0 | 1 | 1 | 1 | not entailment |
~((((l|c)&(((l>d)>l)|f))|(~(c)>l))) | (d>~((c&d))) | 1 | 1 | 1 | 0 | entailment |
(d&(~((c>((f&l)>f)))>((~(c)|(l&d))&f))) | ((((l&f)&f)>(~(l)|((d>c)|l)))>(l|(f>d))) | 1 | 1 | 1 | 1 | entailment |
~((((l|c)&(((l>d)>l)|f))|(~(c)>l))) | ((((l&f)&f)>(~(l)|((d>c)|l)))>(l|(f>d))) | 0 | 0 | 1 | 0 | not entailment |
(d&(~((c>((f&l)>f)))>((~(c)|(l&d))&f))) | (d>~((c&d))) | 0 | 1 | 1 | 0 | not entailment |
((((c&c)>~(l))&f)&~((~(l)&f))) | ((~((l>f))>d)>((d&((l&l)|d))|l)) | 1 | 1 | 0 | 0 | entailment |
(c&((d|c)>(f>f))) | ~(~((l>c))) | 1 | 1 | 0 | 0 | entailment |
((((c&c)>~(l))&f)&~((~(l)&f))) | ~(~((l>c))) | 0 | 1 | 1 | 0 | not entailment |
(c&((d|c)>(f>f))) | ((~((l>f))>d)>((d&((l&l)|d))|l)) | 0 | 0 | 0 | 0 | not entailment |
(((d&f)&c)|(d&c)) | (d|~(((c&c)|l))) | 1 | 1 | 0 | 0 | entailment |
(l&(l>((d>(f&c))>l))) | ((c&~((l&l)))>l) | 1 | 1 | 1 | 1 | entailment |
(((d&f)&c)|(d&c)) | ((c&~((l&l)))>l) | 0 | 1 | 0 | 0 | not entailment |
(l&(l>((d>(f&c))>l))) | (d|~(((c&c)|l))) | 0 | 1 | 1 | 1 | not entailment |
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