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