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 |
|---|---|---|---|---|---|---|
~(c)
|
~(((((k&c)>(b&c))>f)&c))
| 1 | 0 | 0 | 0 |
entailment
|
(~((l&f))&(b&(i&d)))
|
((b&i)&(l>(d|k)))
| 1 | 1 | 0 | 0 |
entailment
|
~(c)
|
((b&i)&(l>(d|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((l&f))&(b&(i&d)))
|
~(((((k&c)>(b&c))>f)&c))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(d|(b|f)))
|
((c>((d>k)>k))|~((~((~(b)>l))|f)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(l)>d)>d)
|
(~(((b>(((i|k)>(d|l))>c))&(l&c)))|d)
| 1 | 0 | 0 | 0 |
entailment
|
(k&(d|(b|f)))
|
(~(((b>(((i|k)>(d|l))>c))&(l&c)))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(l)>d)>d)
|
((c>((d>k)>k))|~((~((~(b)>l))|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((f|l)&((k|d)>i))&f)&((b>i)|c))
|
(d>f)
| 1 | 1 | 1 | 1 |
entailment
|
(c&l)
|
(b|c)
| 1 | 1 | 0 | 0 |
entailment
|
((((f|l)&((k|d)>i))&f)&((b>i)|c))
|
(b|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(c&l)
|
(d>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((f|k)&b)&c))&k)
|
(k|f)
| 1 | 1 | 1 | 0 |
entailment
|
((i&i)&c)
|
((i&((d&f)|~(i)))|~(~((i|d))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((f|k)&b)&c))&k)
|
((i&((d&f)|~(i)))|~(~((i|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((i&i)&c)
|
(k|f)
| 0 | 1 | 0 | 0 |
not entailment
|
((((i|l)>k)|~((k|f)))&(c&(c&((k&f)&c))))
|
(k|l)
| 1 | 1 | 1 | 0 |
entailment
|
~(~((f&i)))
|
(((l>k)|~(l))>(i|i))
| 1 | 0 | 0 | 0 |
entailment
|
((((i|l)>k)|~((k|f)))&(c&(c&((k&f)&c))))
|
(((l>k)|~(l))>(i|i))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((f&i)))
|
(k|l)
| 0 | 1 | 0 | 0 |
not entailment
|
((d|(((c&f)&(l>k))>k))&(f&c))
|
((i>d)|(((d|f)>f)&c))
| 1 | 1 | 0 | 0 |
entailment
|
(i&(f>d))
|
(c>((l|(i|d))|(((((l>l)&c)&f)>f)>b)))
| 1 | 0 | 0 | 0 |
entailment
|
((d|(((c&f)&(l>k))>k))&(f&c))
|
(c>((l|(i|d))|(((((l>l)&c)&f)>f)>b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(f>d))
|
((i>d)|(((d|f)>f)&c))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(f)>i)&(b&(c&f)))
|
(f&f)
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(k)&(~((k&b))|(b>l)))>(d>l)))
|
((b|i)>~(l))
| 1 | 1 | 0 | 0 |
entailment
|
((~(f)>i)&(b&(c&f)))
|
((b|i)>~(l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(k)&(~((k&b))|(b>l)))>(d>l)))
|
(f&f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(f)&((l|k)>(((l>(d|c))|l)&i)))
|
((f>k)|(l>i))
| 1 | 1 | 1 | 0 |
entailment
|
((f|(c|~(~(i))))&~(i))
|
((d&i)>(c>~(c)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(f)&((l|k)>(((l>(d|c))|l)&i)))
|
((d&i)>(c>~(c)))
| 0 | 1 | 1 | 0 |
not entailment
|
((f|(c|~(~(i))))&~(i))
|
((f>k)|(l>i))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((b|(b|d))>c)|(b&f))|d))
|
(i|((d|f)>(d|b)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(i)&~(b))
|
(((~(c)|i)&~(i))|c)
| 1 | 0 | 0 | 0 |
entailment
|
~(((((b|(b|d))>c)|(b&f))|d))
|
(((~(c)|i)&~(i))|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(i)&~(b))
|
(i|((d|f)>(d|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(i)&k)&b)
|
(~(b)>f)
| 1 | 1 | 0 | 0 |
entailment
|
~((d>k))
|
(c>d)
| 1 | 1 | 0 | 0 |
entailment
|
((~(i)&k)&b)
|
(c>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>k))
|
(~(b)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(d)&((b&((k>i)&i))|(b&b)))
|
(~(i)|((b>(f&d))>((c>(l>k))|d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d|(c|d))>~(l)))
|
(k>(l|i))
| 1 | 1 | 0 | 0 |
entailment
|
(~(d)&((b&((k>i)&i))|(b&b)))
|
(k>(l|i))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d|(c|d))>~(l)))
|
(~(i)|((b>(f&d))>((c>(l>k))|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((i|(k>d))&((k|c)&i)))>i)
|
(c|((i&d)|i))
| 1 | 1 | 1 | 1 |
entailment
|
~(((b|(b|(l|k)))>((~(b)|~(k))|d)))
|
(l>b)
| 1 | 1 | 1 | 0 |
entailment
|
(~(((i|(k>d))&((k|c)&i)))>i)
|
(l>b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((b|(b|(l|k)))>((~(b)|~(k))|d)))
|
(c|((i&d)|i))
| 0 | 1 | 0 | 0 |
not entailment
|
((d>c)&c)
|
(c|(f&f))
| 1 | 1 | 0 | 0 |
entailment
|
~(((c|c)|~((f>i))))
|
(i|((f|(l&i))>(((c|k)|f)>(f>b))))
| 1 | 0 | 0 | 0 |
entailment
|
((d>c)&c)
|
(i|((f|(l&i))>(((c|k)|f)>(f>b))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((c|c)|~((f>i))))
|
(c|(f&f))
| 0 | 1 | 1 | 0 |
not entailment
|
(i&(b>b))
|
(~(k)>(l|(c|i)))
| 1 | 0 | 0 | 0 |
entailment
|
(l>~((k|l)))
|
(b|(l>c))
| 1 | 1 | 0 | 0 |
entailment
|
(i&(b>b))
|
(b|(l>c))
| 0 | 1 | 0 | 0 |
not entailment
|
(l>~((k|l)))
|
(~(k)>(l|(c|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((c>(c|f))&b)|~(l))|k))
|
((i>~(((i|b)&((d>f)|b))))>(d>l))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((c|~(~(c))))>(k|k)))
|
(~(k)&((c&d)>(f|i)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((c>(c|f))&b)|~(l))|k))
|
(~(k)&((c&d)>(f|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((c|~(~(c))))>(k|k)))
|
((i>~(((i|b)&((d>f)|b))))>(d>l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((l>((b&~(i))&(d&i))))&(~((l&b))&i))
|
((b&((d|(d|l))|i))>(k&((l&l)&l)))
| 1 | 1 | 0 | 0 |
entailment
|
(i&~(~(((~(f)|l)>f))))
|
((c>(~(f)>f))|((f&b)|~(l)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((l>((b&~(i))&(d&i))))&(~((l&b))&i))
|
((c>(~(f)>f))|((f&b)|~(l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&~(~(((~(f)|l)>f))))
|
((b&((d|(d|l))|i))>(k&((l&l)&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((f&k)>(c>((~(l)>c)>(b&f)))))))
|
(k&((l>(i>(d>d)))|~((~(i)|(~(i)>c)))))
| 1 | 1 | 0 | 0 |
entailment
|
(d&b)
|
((l|d)>(f>(~((l&i))>d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((f&k)>(c>((~(l)>c)>(b&f)))))))
|
((l|d)>(f>(~((l&i))>d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&b)
|
(k&((l>(i>(d>d)))|~((~(i)|(~(i)>c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z|a)>(z>a)))
|
(~(~(z))|((z&(z|(a&z)))&a))
| 1 | 0 | 1 | 1 |
entailment
|
(a&a)
|
(a|(z>((a|a)&z)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((z|a)>(z>a)))
|
(a|(z>((a|a)&z)))
| 0 | 1 | 1 | 0 |
not entailment
|
(a&a)
|
(~(~(z))|((z&(z|(a&z)))&a))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&(a&z))
|
((a|((a&a)&(a>a)))|a)
| 1 | 0 | 1 | 0 |
entailment
|
(~(a)&(z>(z&a)))
|
~((~(((a|a)&z))>z))
| 1 | 0 | 1 | 1 |
entailment
|
(a&(a&z))
|
~((~(((a|a)&z))>z))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(a)&(z>(z&a)))
|
((a|((a&a)&(a>a)))|a)
| 0 | 0 | 1 | 1 |
not entailment
|
(a|a)
|
((z>(z>z))>a)
| 1 | 0 | 0 | 0 |
entailment
|
((z>a)>z)
|
(((z|z)|(a&z))|((z>z)&z))
| 1 | 0 | 1 | 0 |
entailment
|
(a|a)
|
(((z|z)|(a&z))|((z>z)&z))
| 0 | 0 | 0 | 0 |
not entailment
|
((z>a)>z)
|
((z>(z>z))>a)
| 0 | 0 | 1 | 0 |
not entailment
|
(z|(~(~((z>a)))&((a|a)|a)))
|
((z|(a&z))|a)
| 1 | 1 | 1 | 1 |
entailment
|
~(z)
|
~(z)
| 1 | 1 | 1 | 1 |
entailment
|
(z|(~(~((z>a)))&((a|a)|a)))
|
~(z)
| 0 | 1 | 1 | 1 |
not entailment
|
~(z)
|
((z|(a&z))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
(j&(~(o)|((i>(y&y))&~(h))))
|
(((u&(u|y))>(y&r))|((y|j)>((e>v)>j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(h))
|
(v|(((y&v)|h)|(r&(v>~(u)))))
| 1 | 0 | 0 | 0 |
entailment
|
(j&(~(o)|((i>(y&y))&~(h))))
|
(v|(((y&v)|h)|(r&(v>~(u)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(h))
|
(((u&(u|y))>(y&r))|((y|j)>((e>v)>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(i)>u))&((r&(i>(i&(u|u))))&o))
|
((y>y)>~((u|i)))
| 1 | 1 | 0 | 0 |
entailment
|
~((i>(~(r)>(i&(o&e)))))
|
(((i&~(f))|~((f>r)))|(f|i))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(i)>u))&((r&(i>(i&(u|u))))&o))
|
(((i&~(f))|~((f>r)))|(f|i))
| 0 | 1 | 0 | 0 |
not entailment
|
~((i>(~(r)>(i&(o&e)))))
|
((y>y)>~((u|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((y&(o>(f&e)))|h)>~(((r>y)&y)))>~(h))
|
((~(h)|(v|y))|(((r|j)>o)|~(r)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((u|((h>u)>(i>h)))>(j>((o|o)|(o&u)))))
|
(~(((u&o)|(o>i)))>((f>v)&(h>r)))
| 1 | 1 | 0 | 0 |
entailment
|
((((y&(o>(f&e)))|h)>~(((r>y)&y)))>~(h))
|
(~(((u&o)|(o>i)))>((f>v)&(h>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u|((h>u)>(i>h)))>(j>((o|o)|(o&u)))))
|
((~(h)|(v|y))|(((r|j)>o)|~(r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&((f>v)&f))
|
(o|(j|(i&j)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((e&f)|(j>(y>f)))>(e>~((f&u)))))
|
((h>y)>(~(~(e))|(o&((h>((e>f)>u))>h))))
| 1 | 0 | 0 | 0 |
entailment
|
(j&((f>v)&f))
|
((h>y)>(~(~(e))|(o&((h>((e>f)>u))>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((e&f)|(j>(y>f)))>(e>~((f&u)))))
|
(o|(j|(i&j)))
| 0 | 1 | 0 | 0 |
not entailment
|
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