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&h)>i))&((~(c)>(i|(c&(z&y))))>z))
|
((e>(~(z)&((y&d)&~(c))))>((y>w)|d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>(o>y)))
|
(d>z)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((~(d)&h))>(e>~(o))))
|
((((e>w)|~((~(o)|h)))>(e>z))|((o|d)|c))
| 1 | 0 | 0 | 0 |
entailment
|
~(y)
|
(~(y)|(o&i))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~(d)&h))>(e>~(o))))
|
(~(y)|(o&i))
| 0 | 1 | 0 | 0 |
not entailment
|
~(y)
|
((((e>w)|~((~(o)|h)))>(e>z))|((o|d)|c))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)&z)
|
((d&(y&~((~((e&e))&i))))>h)
| 1 | 0 | 0 | 0 |
entailment
|
~((((o>y)>~(e))|o))
|
(~(~(((h&(o&~(e)))&((d&w)>z))))>i)
| 1 | 0 | 0 | 0 |
entailment
|
(~(y)&z)
|
(~(~(((h&(o&~(e)))&((d&w)>z))))>i)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((o>y)>~(e))|o))
|
((d&(y&~((~((e&e))&i))))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((i>c)|(c>i)))>(i&((z&e)|w)))>w)
|
(((y|(w>i))>((y|o)&c))>w)
| 1 | 1 | 0 | 0 |
entailment
|
((~(((~(w)&i)>w))&i)|((d>(h&h))&c))
|
((i|(d>i))|h)
| 1 | 1 | 1 | 1 |
entailment
|
((~(((i>c)|(c>i)))>(i&((z&e)|w)))>w)
|
((i|(d>i))|h)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((~(w)&i)>w))&i)|((d>(h&h))&c))
|
(((y|(w>i))>((y|o)&c))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
((y&((((c>(o&y))|w)|e)>c))&h)
|
(((d|w)|w)>y)
| 1 | 1 | 0 | 0 |
entailment
|
(o&(i&(w&d)))
|
(((c>~((z|i)))&~(i))>((o&o)>(e&(h|y))))
| 1 | 0 | 0 | 0 |
entailment
|
((y&((((c>(o&y))|w)|e)>c))&h)
|
(((c>~((z|i)))&~(i))>((o&o)>(e&(h|y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&(i&(w&d)))
|
(((d|w)|w)>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((e|(((d>h)|h)>((i&(w&z))|i))))
|
((w&y)>((e&(w&z))>((z>c)&c)))
| 1 | 1 | 0 | 0 |
entailment
|
((h&h)&z)
|
~(~((c|((~((c|z))>c)|(w>h)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((e|(((d>h)|h)>((i&(w&z))|i))))
|
~(~((c|((~((c|z))>c)|(w>h)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&h)&z)
|
((w&y)>((e&(w&z))>((z>c)&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z>h)>i))
|
~((((z&~(y))|(z>y))&(((w>h)&i)&y)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((i&(w>(c&z))))|~(h)))&(w&z))
|
((i&(w|w))&(i&(i|w)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((z>h)>i))
|
((i&(w|w))&(i&(i|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((i&(w>(c&z))))|~(h)))&(w&z))
|
~((((z&~(y))|(z>y))&(((w>h)&i)&y)))
| 0 | 1 | 0 | 0 |
not entailment
|
((o&~(y))&w)
|
(~(w)>~(e))
| 1 | 1 | 0 | 0 |
entailment
|
(c&z)
|
(~((c>~((z|o))))|c)
| 1 | 0 | 0 | 0 |
entailment
|
((o&~(y))&w)
|
(~((c>~((z|o))))|c)
| 0 | 0 | 0 | 0 |
not entailment
|
(c&z)
|
(~(w)>~(e))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&c)&(e>d))
|
((w|(z>h))|y)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((o&((d&e)&((z>c)|(e>d))))))
|
((y>~(z))|(o&~(~(d))))
| 1 | 1 | 0 | 0 |
entailment
|
((w&c)&(e>d))
|
((y>~(z))|(o&~(~(d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((o&((d&e)&((z>c)|(e>d))))))
|
((w|(z>h))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&~((o&c)))
|
(d|w)
| 1 | 1 | 0 | 0 |
entailment
|
~((w|(~((d|w))>w)))
|
(w>h)
| 1 | 1 | 0 | 0 |
entailment
|
(d&~((o&c)))
|
(w>h)
| 0 | 1 | 0 | 0 |
not entailment
|
~((w|(~((d|w))>w)))
|
(d|w)
| 0 | 1 | 1 | 0 |
not entailment
|
(c&(d&i))
|
(c|(o|i))
| 1 | 1 | 0 | 0 |
entailment
|
~((h|(((w&(z>(o&d)))|(~(~(d))&o))|i)))
|
((i|(d&(d>o)))>z)
| 1 | 1 | 1 | 0 |
entailment
|
(c&(d&i))
|
((i|(d&(d>o)))>z)
| 0 | 0 | 0 | 0 |
not entailment
|
~((h|(((w&(z>(o&d)))|(~(~(d))&o))|i)))
|
(c|(o|i))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y|d)&~(d))&e)
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
~((((d>y)&d)>w))
|
((e&(o&h))>(c>((y&e)&d)))
| 1 | 0 | 0 | 0 |
entailment
|
(((y|d)&~(d))&e)
|
((e&(o&h))>(c>((y&e)&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((d>y)&d)>w))
|
~(d)
| 0 | 1 | 1 | 1 |
not entailment
|
~((d|(c&z)))
|
(d>o)
| 1 | 1 | 0 | 0 |
entailment
|
(~(i)&z)
|
(((z|i)&(c|e))|z)
| 1 | 0 | 0 | 0 |
entailment
|
~((d|(c&z)))
|
(((z|i)&(c|e))|z)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(i)&z)
|
(d>o)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((o|o)|(a|j))>u))&((j|(v|k))&a))
|
(((j>u)>((o|v)&((v|o)&m)))>(u|a))
| 1 | 1 | 0 | 0 |
entailment
|
((v&((m&k)&v))&((k|o)>j))
|
((((v&u)&~(j))|((k&u)|j))&v)
| 1 | 0 | 0 | 0 |
entailment
|
(~((((o|o)|(a|j))>u))&((j|(v|k))&a))
|
((((v&u)&~(j))|((k&u)|j))&v)
| 0 | 1 | 1 | 0 |
not entailment
|
((v&((m&k)&v))&((k|o)>j))
|
(((j>u)>((o|v)&((v|o)&m)))>(u|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(o)&(~(((m>((a>m)|v))|u))|u))
|
((a|(((k&~(k))|a)&v))|(o>k))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((a&(o&k))|((u|~(o))>a)))&~(m))
|
(~((u|o))|(m>(u>((a|(~(v)|u))>o))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(o)&(~(((m>((a>m)|v))|u))|u))
|
(~((u|o))|(m>(u>((a|(~(v)|u))>o))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((a&(o&k))|((u|~(o))>a)))&~(m))
|
((a|(((k&~(k))|a)&v))|(o>k))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a&a)&v)&m)
|
(m&m)
| 1 | 1 | 1 | 1 |
entailment
|
(~((v&v))&(~(((v>m)>o))&~((a|k))))
|
~(((v&o)&((o>m)|k)))
| 1 | 1 | 1 | 0 |
entailment
|
(((a&a)&v)&m)
|
~(((v&o)&((o>m)|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((v&v))&(~(((v>m)>o))&~((a|k))))
|
(m&m)
| 0 | 1 | 1 | 1 |
not entailment
|
(j&m)
|
(j|(k>((u&(a|m))&~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&m)
|
(u>(((a&j)&k)|k))
| 1 | 0 | 0 | 0 |
entailment
|
(j&m)
|
(u>(((a&j)&k)|k))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&m)
|
(j|(k>((u&(a|m))&~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&~((j|((o|m)&~(k)))))
|
~((~((m|o))&((~(u)|m)&k)))
| 1 | 0 | 1 | 0 |
entailment
|
((o|(o>u))&((k|(a>j))&(j&(o|(j&k)))))
|
(((((u|~(u))&a)|~(o))|(u|o))&((a>a)>j))
| 1 | 0 | 1 | 0 |
entailment
|
(u&~((j|((o|m)&~(k)))))
|
(((((u|~(u))&a)|~(o))|(u|o))&((a>a)>j))
| 0 | 0 | 0 | 0 |
not entailment
|
((o|(o>u))&((k|(a>j))&(j&(o|(j&k)))))
|
~((~((m|o))&((~(u)|m)&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((j>~(a))|v))
|
(((j&j)&k)|(u|j))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~(u)&(((j|k)>((j|u)&u))>j))))
|
(((k|~(u))|~(j))|k)
| 1 | 1 | 1 | 1 |
entailment
|
~(((j>~(a))|v))
|
(((k|~(u))|~(j))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(u)&(((j|k)>((j|u)&u))>j))))
|
(((j&j)&k)|(u|j))
| 0 | 1 | 1 | 0 |
not entailment
|
(a|o)
|
(u|((o>~(o))>(a|a)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((a&j)&(((u>v)&(u&o))|a))|(v>(k>a))))
|
(v|a)
| 1 | 1 | 1 | 0 |
entailment
|
(a|o)
|
(v|a)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((a&j)&(((u>v)&(u&o))|a))|(v>(k>a))))
|
(u|((o>~(o))>(a|a)))
| 0 | 1 | 1 | 0 |
not entailment
|
((a&u)&(((o&(~(j)|u))&k)&v))
|
((~(j)>(k|(a|(a|m))))|v)
| 1 | 1 | 0 | 0 |
entailment
|
((m&m)|~(o))
|
((~(((a|o)>(o>(u>m))))&v)>~(a))
| 1 | 0 | 0 | 0 |
entailment
|
((a&u)&(((o&(~(j)|u))&k)&v))
|
((~(((a|o)>(o>(u>m))))&v)>~(a))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&m)|~(o))
|
((~(j)>(k|(a|(a|m))))|v)
| 0 | 0 | 0 | 0 |
not entailment
|
~(k)
|
((k|o)>(~(o)>m))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(u))
|
(((a|u)>m)>m)
| 1 | 0 | 0 | 0 |
entailment
|
~(k)
|
(((a|u)>m)>m)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(u))
|
((k|o)>(~(o)>m))
| 0 | 0 | 0 | 0 |
not entailment
|
((m|m)&~((j|k)))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
~((v>((~(u)>~(o))&~(k))))
|
((a|(~(v)&((m&k)&v)))|(u>k))
| 1 | 1 | 0 | 0 |
entailment
|
((m|m)&~((j|k)))
|
((a|(~(v)&((m&k)&v)))|(u>k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((v>((~(u)>~(o))&~(k))))
|
~(j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((k|~(o)))&a)
|
((~(~(a))|(v|(o|u)))|(v|u))
| 1 | 0 | 0 | 0 |
entailment
|
(~(v)&k)
|
(k|j)
| 1 | 1 | 0 | 0 |
entailment
|
(~((k|~(o)))&a)
|
(k|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(v)&k)
|
((~(~(a))|(v|(o|u)))|(v|u))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j>m)>(m|v)))
|
~((~(~(~((v&(o>(m&u))))))&j))
| 1 | 0 | 0 | 0 |
entailment
|
~((j>v))
|
((v|m)|(j&((m&m)>(o|~(j)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j>m)>(m|v)))
|
((v|m)|(j&((m&m)>(o|~(j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j>v))
|
~((~(~(~((v&(o>(m&u))))))&j))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&~((m&j)))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~(m)&(o|~(j)))))
|
((m>a)|a)
| 1 | 1 | 0 | 0 |
entailment
|
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