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 |
|---|---|---|---|---|---|---|
(q|q)
|
(((q&(l|l))|(u|q))>q)
| 1 | 0 | 0 | 0 |
entailment
|
~((u>((~(q)&w)>(((k|l)>u)&k))))
|
(((q&(l|l))|(u|q))>q)
| 0 | 1 | 1 | 0 |
not entailment
|
(q|q)
|
(k|((u>~((~(q)>~(~((~(u)&u))))))|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&k)
|
((((l&(q&w))&q)>(~((k|k))>(u>u)))&k)
| 1 | 0 | 0 | 0 |
entailment
|
(u|(u&(q&w)))
|
(l|u)
| 1 | 1 | 0 | 0 |
entailment
|
(q&k)
|
(l|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(u|(u&(q&w)))
|
((((l&(q&w))&q)>(~((k|k))>(u>u)))&k)
| 0 | 0 | 0 | 0 |
not entailment
|
(u&l)
|
(((u|(w>u))>~(~(l)))|~(k))
| 1 | 0 | 0 | 0 |
entailment
|
(w&k)
|
~((~(k)&w))
| 1 | 0 | 1 | 0 |
entailment
|
(u&l)
|
~((~(k)&w))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&k)
|
(((u|(w>u))>~(~(l)))|~(k))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&l)
|
(((k>w)|(u>k))>(u&u))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((l|w)>u))>~(k))>(w&w))
|
(~(w)>(~(~(~((((u|(w&q))>l)>k))))>w))
| 1 | 0 | 0 | 0 |
entailment
|
(u&l)
|
(~(w)>(~(~(~((((u|(w&q))>l)>k))))>w))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((l|w)>u))>~(k))>(w&w))
|
(((k>w)|(u>k))>(u&u))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((((u&k)>l)|u)&~(u)))|(~((l>w))&w))
|
(~(~((((((l>l)|q)&w)>u)|k)))>u)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(u)>l))
|
~(~((u>k)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((((u&k)>l)|u)&~(u)))|(~((l>w))&w))
|
~(~((u>k)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(u)>l))
|
(~(~((((((l>l)|q)&w)>u)|k)))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
~(y)
|
((x&(~(b)|y))>(~((s&b))&~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((b>y))|(k>(s>y)))
|
((s>((k&~(y))>x))|((b>s)>(k&b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(y)
|
((s>((k&~(y))>x))|((b>s)>(k&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((b>y))|(k>(s>y)))
|
((x&(~(b)|y))>(~((s&b))&~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k>(s>b))|(~(x)&~(b))))
|
(((y&y)|(k|~(((y&y)|s))))|(~((x|k))>x))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(s&b))
|
(~((y>(b&x)))>~(x))
| 1 | 0 | 0 | 0 |
entailment
|
~(((k>(s>b))|(~(x)&~(b))))
|
(~((y>(b&x)))>~(x))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(s&b))
|
(((y&y)|(k|~(((y&y)|s))))|(~((x|k))>x))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(s|b))
|
(((k&k)>s)|~(((y>((x>y)|x))>~(b))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(s)&(k&~(x)))
|
(((y>(k&s))>~((b&(k|(s&y)))))|~(s))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(s|b))
|
(((y>(k&s))>~((b&(k|(s&y)))))|~(s))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(s)&(k&~(x)))
|
(((k&k)>s)|~(((y>((x>y)|x))>~(b))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s>k))
|
((b|s)|(b|k))
| 1 | 0 | 0 | 0 |
entailment
|
(y&x)
|
(x|~(s))
| 1 | 0 | 0 | 0 |
entailment
|
~((s>k))
|
(x|~(s))
| 0 | 1 | 0 | 0 |
not entailment
|
(y&x)
|
((b|s)|(b|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((x&(x&x))&b)>(~(s)|~(y))))
|
((x>((x|s)|k))&b)
| 1 | 1 | 0 | 0 |
entailment
|
(~(s)&(k&y))
|
~(~((y>k)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((x&(x&x))&b)>(~(s)|~(y))))
|
~(~((y>k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(s)&(k&y))
|
((x>((x|s)|k))&b)
| 0 | 0 | 0 | 0 |
not entailment
|
(((x>k)&b)&~((y>((y|(y&~(x)))>k))))
|
((x|(y>k))>k)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((((k&s)&(y&(s|k)))|((s|b)&x))))
|
(s|x)
| 1 | 1 | 1 | 1 |
entailment
|
(((x>k)&b)&~((y>((y|(y&~(x)))>k))))
|
(s|x)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((((k&s)&(y&(s|k)))|((s|b)&x))))
|
((x|(y>k))>k)
| 0 | 1 | 1 | 0 |
not entailment
|
(k&((b&k)|(((s&y)>(k|(y&x)))>s)))
|
~(~(((s|b)|b)))
| 1 | 1 | 1 | 1 |
entailment
|
(((k&s)>~(((k>y)>b)))&((y|b)>~((s|x))))
|
((x|(s&(s>b)))>(s>(y>(x&s))))
| 1 | 1 | 1 | 0 |
entailment
|
(k&((b&k)|(((s&y)>(k|(y&x)))>s)))
|
((x|(s&(s>b)))>(s>(y>(x&s))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((k&s)>~(((k>y)>b)))&((y|b)>~((s|x))))
|
~(~(((s|b)|b)))
| 0 | 1 | 1 | 0 |
not entailment
|
((s>k)>((y>~(y))&~((x&((s>b)>s)))))
|
(~(y)|((k|s)|b))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(~((~(b)|(((s|s)&b)|(k|s)))))>s))
|
(~((((b|x)|s)|(x&k)))|((s&s)>(y>b)))
| 1 | 1 | 0 | 0 |
entailment
|
((s>k)>((y>~(y))&~((x&((s>b)>s)))))
|
(~((((b|x)|s)|(x&k)))|((s&s)>(y>b)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(~((~(b)|(((s|s)&b)|(k|s)))))>s))
|
(~(y)|((k|s)|b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~((k>(x|(x&(s|y)))))&~(~(b)))))
|
(~(((b|(((b&s)>x)>s))|(b&((x&k)>x))))|k)
| 1 | 1 | 1 | 0 |
entailment
|
(s&~((k|b)))
|
~((~((~(b)&y))&y))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~((k>(x|(x&(s|y)))))&~(~(b)))))
|
~((~((~(b)&y))&y))
| 0 | 1 | 1 | 0 |
not entailment
|
(s&~((k|b)))
|
(~(((b|(((b&s)>x)>s))|(b&((x&k)>x))))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
(((x|(b&((x&x)|k)))&s)&(b&(s|(y>~(y)))))
|
(k>b)
| 1 | 1 | 1 | 0 |
entailment
|
~(~((y>((x&~(x))&s))))
|
(y>(b>x))
| 1 | 1 | 0 | 0 |
entailment
|
(((x|(b&((x&x)|k)))&s)&(b&(s|(y>~(y)))))
|
(y>(b>x))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((y>((x&~(x))&s))))
|
(k>b)
| 0 | 1 | 0 | 0 |
not entailment
|
(x&((b&(y&s))|~(x)))
|
(s|k)
| 1 | 1 | 0 | 0 |
entailment
|
(~(y)&(~(((b|s)|b))&(k>((b&x)>~(x)))))
|
(b>~(((s|s)>(((k>(x>x))&y)|((x>x)|y)))))
| 1 | 1 | 1 | 0 |
entailment
|
(x&((b&(y&s))|~(x)))
|
(b>~(((s|s)>(((k>(x>x))&y)|((x>x)|y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)&(~(((b|s)|b))&(k>((b&x)>~(x)))))
|
(s|k)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(b)&(x&s))
|
(((((k|k)|b)|k)>y)|((y|x)>s))
| 1 | 0 | 0 | 0 |
entailment
|
((y>k)>~(~(b)))
|
((y&y)|(k>b))
| 1 | 1 | 1 | 1 |
entailment
|
(~(b)&(x&s))
|
((y&y)|(k>b))
| 0 | 1 | 0 | 0 |
not entailment
|
((y>k)>~(~(b)))
|
(((((k|k)|b)|k)>y)|((y|x)>s))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b>k)>((x>s)|(k&x))))
|
(s>(y&~(s)))
| 1 | 1 | 0 | 0 |
entailment
|
(((y|y)|k)&(y&(y|x)))
|
~(~(((b>b)&(y|k))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((b>k)>((x>s)|(k&x))))
|
~(~(((b>b)&(y|k))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y|y)|k)&(y&(y|x)))
|
(s>(y&~(s)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((s>y)|y)&y))
|
~((y&s))
| 1 | 1 | 1 | 0 |
entailment
|
((b>y)&~(((k&b)|(s>((k|s)>x)))))
|
((b|b)|(~((~(s)&(y|k)))|(b|b)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((s>y)|y)&y))
|
((b|b)|(~((~(s)&(y|k)))|(b|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((b>y)&~(((k&b)|(s>((k|s)>x)))))
|
~((y&s))
| 0 | 1 | 1 | 0 |
not entailment
|
((k>s)&((s>(y&x))&((b&b)|((k|s)>s))))
|
(~(~((y>x)))|((k&(y&b))>~(b)))
| 1 | 1 | 1 | 0 |
entailment
|
((b>y)>(((s&(s>x))>x)&((b&b)&((k|s)|k))))
|
~(~(((y>k)|(y&s))))
| 1 | 1 | 1 | 0 |
entailment
|
((k>s)&((s>(y&x))&((b&b)|((k|s)>s))))
|
~(~(((y>k)|(y&s))))
| 0 | 1 | 1 | 0 |
not entailment
|
((b>y)>(((s&(s>x))>x)&((b&b)&((k|s)|k))))
|
(~(~((y>x)))|((k&(y&b))>~(b)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((x>(b|x))|(b>(b>(y|y))))>(b|(y|k))))
|
(y|((b>y)|k))
| 1 | 1 | 1 | 0 |
entailment
|
((s|y)&s)
|
(s|(y&s))
| 1 | 1 | 1 | 1 |
entailment
|
~((((x>(b|x))|(b>(b>(y|y))))>(b|(y|k))))
|
(s|(y&s))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|y)&s)
|
(y|((b>y)|k))
| 0 | 0 | 0 | 0 |
not entailment
|
((k>(~(s)|(b>b)))&(((y|~((s>x)))&x)&b))
|
~(~((((s>b)|(k>(k&b)))|(((x>b)&k)|b))))
| 1 | 1 | 1 | 0 |
entailment
|
(~((b&((~(s)>(k>(s>s)))|b)))&(b>s))
|
(b>~(((y&s)&(k>b))))
| 1 | 1 | 0 | 0 |
entailment
|
((k>(~(s)|(b>b)))&(((y|~((s>x)))&x)&b))
|
(b>~(((y&s)&(k>b))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((b&((~(s)>(k>(s>s)))|b)))&(b>s))
|
~(~((((s>b)|(k>(k&b)))|(((x>b)&k)|b))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b&k))
|
(b>~(((((b>b)>y)|y)&k)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((~(s)|(y|(s>s)))>s))))
|
~(((((s>x)|~((x&x)))|(k|s))>(s|s)))
| 1 | 0 | 0 | 0 |
entailment
|
~((b&k))
|
~(((((s>x)|~((x&x)))|(k|s))>(s|s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((~(s)|(y|(s>s)))>s))))
|
(b>~(((((b>b)>y)|y)&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(o)>k)&(~((p|~((u|k))))&z))
|
~((k&(o&((n|z)>p))))
| 1 | 1 | 0 | 0 |
entailment
|
((~((z|(k&m)))&(u>(z|p)))&(z|(z|(m|k))))
|
(u>~((u&z)))
| 1 | 1 | 1 | 1 |
entailment
|
((~(o)>k)&(~((p|~((u|k))))&z))
|
(u>~((u&z)))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((z|(k&m)))&(u>(z|p)))&(z|(z|(m|k))))
|
~((k&(o&((n|z)>p))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((n|p))
|
(n|~((((u|z)&p)&u)))
| 1 | 0 | 0 | 0 |
entailment
|
(o&k)
|
((~(~(~(o)))>o)|~(u))
| 1 | 0 | 0 | 0 |
entailment
|
~((n|p))
|
((~(~(~(o)))>o)|~(u))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&k)
|
(n|~((((u|z)&p)&u)))
| 0 | 0 | 0 | 0 |
not entailment
|
((p|m)>((z|u)&~((o>z))))
|
((~(z)>o)|(p>n))
| 1 | 1 | 0 | 0 |
entailment
|
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