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 |
|---|---|---|---|---|---|---|
~((((y&p)&(b&l))>~((p&y))))
|
~(~((u|q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(q))&((b>(s>y))>b))
|
(~((~(u)>p))>~(((b&y)&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((((q>y)&u)>(u|l))&(q>l))|~((p&y))))
|
(~(u)>~(l))
| 1 | 1 | 1 | 1 |
entailment
|
(~(b)&(u|(l&p)))
|
((s&((l|b)&~(l)))|(b>(~(y)|l)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((q>y)&u)>(u|l))&(q>l))|~((p&y))))
|
((s&((l|b)&~(l)))|(b>(~(y)|l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(b)&(u|(l&p)))
|
(~(u)>~(l))
| 0 | 1 | 1 | 0 |
not entailment
|
((b|(q&q))&(b>l))
|
(l|~((~(u)&(~(q)&(q>b)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((y&p)|b)&~((b&((l>s)|(l>q)))))
|
((p&q)>y)
| 1 | 1 | 1 | 0 |
entailment
|
((b|(q&q))&(b>l))
|
((p&q)>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(((y&p)|b)&~((b&((l>s)|(l>q)))))
|
(l|~((~(u)&(~(q)&(q>b)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((u>y))))
|
~((~((s&~(s)))&y))
| 1 | 0 | 0 | 0 |
entailment
|
((l>u)>(~((u>(s>b)))&(~((b&s))>s)))
|
(b>l)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((u>y))))
|
(b>l)
| 0 | 1 | 0 | 0 |
not entailment
|
((l>u)>(~((u>(s>b)))&(~((b&s))>s)))
|
~((~((s&~(s)))&y))
| 0 | 1 | 0 | 0 |
not entailment
|
~((l>u))
|
~(~((~(u)>(l|q))))
| 1 | 0 | 0 | 0 |
entailment
|
((y|~(y))>~(b))
|
(b>(((q>(y&p))|~(l))|s))
| 1 | 0 | 0 | 0 |
entailment
|
~((l>u))
|
(b>(((q>(y&p))|~(l))|s))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|~(y))>~(b))
|
~(~((~(u)>(l|q))))
| 0 | 0 | 0 | 0 |
not entailment
|
((q|~(~(q)))&~((p|(u>~((b|q))))))
|
~(~((s|u)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(y)&(b|b))
|
(~(l)|(((s>b)>(u>(q&b)))|~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
((q|~(~(q)))&~((p|(u>~((b|q))))))
|
(~(l)|(((s>b)>(u>(q&b)))|~(y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(y)&(b|b))
|
~(~((s|u)))
| 0 | 1 | 0 | 0 |
not entailment
|
(y&(((p&u)>(y>(~(((y>b)&u))>(q&b))))>q))
|
~(~((l|(s|y))))
| 1 | 1 | 0 | 0 |
entailment
|
~((l|((s|b)>q)))
|
((b|s)|b)
| 1 | 1 | 1 | 1 |
entailment
|
(y&(((p&u)>(y>(~(((y>b)&u))>(q&b))))>q))
|
((b|s)|b)
| 0 | 1 | 0 | 0 |
not entailment
|
~((l|((s|b)>q)))
|
~(~((l|(s|y))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(((p&b)>(y>l)))>~(p))>p)&((s&y)&q))
|
(~(~((((q>p)>l)>~((q>~(s))))))&y)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((b&s)|(q&~(q)))))
|
(~((p>(b>(u&((q>l)|p)))))|b)
| 1 | 0 | 0 | 0 |
entailment
|
(((~(((p&b)>(y>l)))>~(p))>p)&((s&y)&q))
|
(~((p>(b>(u&((q>l)|p)))))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((b&s)|(q&~(q)))))
|
(~(~((((q>p)>l)>~((q>~(s))))))&y)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((q>(l>b))|(p&~((y&(u&y))))))
|
~(~(((l>(q&l))|(l&~(b)))))
| 1 | 1 | 1 | 0 |
entailment
|
(((s|~((l&b)))&(~(l)>p))&s)
|
((s&(~(~(l))&~(s)))|s)
| 1 | 1 | 1 | 0 |
entailment
|
~(((q>(l>b))|(p&~((y&(u&y))))))
|
((s&(~(~(l))&~(s)))|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(((s|~((l&b)))&(~(l)>p))&s)
|
~(~(((l>(q&l))|(l&~(b)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&y)
|
(p>y)
| 1 | 1 | 0 | 0 |
entailment
|
(((l&q)|s)&s)
|
((((b|s)>p)&(u&s))|(p|s))
| 1 | 0 | 0 | 0 |
entailment
|
(u&y)
|
((((b|s)>p)&(u&s))|(p|s))
| 0 | 0 | 0 | 0 |
not entailment
|
(((l&q)|s)&s)
|
(p>y)
| 0 | 1 | 0 | 0 |
not entailment
|
((q>l)&l)
|
~(~(((~(~(q))&~(l))>~(y))))
| 1 | 0 | 0 | 0 |
entailment
|
((p&u)&((u>p)&((~(s)&q)&b)))
|
(((u|y)|~((s>y)))>((s&s)>(s>~(s))))
| 1 | 0 | 0 | 0 |
entailment
|
((q>l)&l)
|
(((u|y)|~((s>y)))>((s&s)>(s>~(s))))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&u)&((u>p)&((~(s)&q)&b)))
|
~(~(((~(~(q))&~(l))>~(y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&((l&(u>y))>q))
|
((s|s)|(((p&q)|(y|(~(p)&s)))|(q|l)))
| 1 | 0 | 0 | 0 |
entailment
|
~((b&l))
|
((l>(~(l)>(p>l)))>((l>(y|~(b)))|p))
| 1 | 0 | 0 | 0 |
entailment
|
(l&((l&(u>y))>q))
|
((l>(~(l)>(p>l)))>((l>(y|~(b)))|p))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b&l))
|
((s|s)|(((p&q)|(y|(~(p)&s)))|(q|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|p)&~(~((q&s))))
|
(s|~(~(((p|(y|b))>~(p)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((s|y)|y)>u)>~((l&b))))
|
((((s|(q>y))>l)>~((y>(s|l))))>(b&b))
| 1 | 0 | 0 | 0 |
entailment
|
((y|p)&~(~((q&s))))
|
((((s|(q>y))>l)>~((y>(s|l))))>(b&b))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((s|y)|y)>u)>~((l&b))))
|
(s|~(~(((p|(y|b))>~(p)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|~(((p|u)&p)))&y)
|
(~((u>(q|s)))|(u|y))
| 1 | 1 | 0 | 0 |
entailment
|
~((s|(b>l)))
|
(((s&((q&s)>y))>(~(p)>q))|((b&q)|l))
| 1 | 0 | 0 | 0 |
entailment
|
((s|~(((p|u)&p)))&y)
|
(((s&((q&s)>y))>(~(p)>q))|((b&q)|l))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s|(b>l)))
|
(~((u>(q|s)))|(u|y))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((l&(y&~(s)))&q)>(((l&l)|~(u))>p)))
|
(y|~(p))
| 1 | 1 | 1 | 1 |
entailment
|
(~(q)&p)
|
(~(q)|((p&l)&p))
| 1 | 0 | 0 | 0 |
entailment
|
~((((l&(y&~(s)))&q)>(((l&l)|~(u))>p)))
|
(~(q)|((p&l)&p))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(q)&p)
|
(y|~(p))
| 0 | 1 | 0 | 0 |
not entailment
|
(s&(((~(p)&(y&l))>(p>q))>b))
|
((b|(u&b))|l)
| 1 | 1 | 0 | 0 |
entailment
|
~((q>~(((p&u)&~((s>~(s)))))))
|
~((((b&l)>p)&(u&~(p))))
| 1 | 1 | 0 | 0 |
entailment
|
(s&(((~(p)&(y&l))>(p>q))>b))
|
~((((b&l)>p)&(u&~(p))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((q>~(((p&u)&~((s>~(s)))))))
|
((b|(u&b))|l)
| 0 | 1 | 0 | 0 |
not entailment
|
((j>j)&(((j&e)&j)&(((e|d)|x)&n)))
|
((g|e)|((b>g)&d))
| 1 | 1 | 0 | 0 |
entailment
|
(~((b|(j|n)))&x)
|
((((u>j)&j)|(~((b|u))&u))>((g&j)&x))
| 1 | 0 | 0 | 0 |
entailment
|
((j>j)&(((j&e)&j)&(((e|d)|x)&n)))
|
((((u>j)&j)|(~((b|u))&u))>((g&j)&x))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((b|(j|n)))&x)
|
((g|e)|((b>g)&d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((e>j)|(x&b))|(n>j)))
|
((n&x)|(e&(d>n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((d>~(~((((u>x)|(g|d))&j)))))
|
((b&b)>d)
| 1 | 1 | 0 | 0 |
entailment
|
~((((e>j)|(x&b))|(n>j)))
|
((b&b)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>~(~((((u>x)|(g|d))&j)))))
|
((n&x)|(e&(d>n)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((u|(g>((j|g)&n))))
|
((g|((x&d)|d))|~(~(((j&(x>n))>n))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(~(j)))|~(((b>((d|b)|d))|n))))
|
(~(j)>(d&d))
| 1 | 1 | 1 | 1 |
entailment
|
~((u|(g>((j|g)&n))))
|
(~(j)>(d&d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(~(j)))|~(((b>((d|b)|d))|n))))
|
((g|((x&d)|d))|~(~(((j&(x>n))>n))))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&(n>x))&(g>n))
|
~(~((((d|b)>b)|(e>x))))
| 1 | 0 | 0 | 0 |
entailment
|
((x>((j>e)>n))&((~(b)&b)|e))
|
(d|(n|e))
| 1 | 1 | 0 | 0 |
entailment
|
((x&(n>x))&(g>n))
|
(d|(n|e))
| 0 | 1 | 0 | 0 |
not entailment
|
((x>((j>e)>n))&((~(b)&b)|e))
|
~(~((((d|b)>b)|(e>x))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((j&g))&~(x))
|
(((j>e)&g)>~((j&g)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((b>u)|~(g))|j)&(u&(n|j)))>~(g)))
|
((~(j)|(g|e))|e)
| 1 | 1 | 0 | 0 |
entailment
|
(~((j&g))&~(x))
|
((~(j)|(g|e))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((b>u)|~(g))|j)&(u&(n|j)))>~(g)))
|
(((j>e)&g)>~((j&g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d|(b|u))|((b|~((j>b)))&d))&(x&x))
|
(((u>(n>b))>((g>e)>n))>x)
| 1 | 1 | 0 | 0 |
entailment
|
((g&(d&u))&(~(b)&(u&(j&n))))
|
(((b&((g|b)>g))|d)&(~(n)|d))
| 1 | 1 | 1 | 0 |
entailment
|
(((d|(b|u))|((b|~((j>b)))&d))&(x&x))
|
(((b&((g|b)>g))|d)&(~(n)|d))
| 0 | 1 | 0 | 0 |
not entailment
|
((g&(d&u))&(~(b)&(u&(j&n))))
|
(((u>(n>b))>((g>e)>n))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&n)
|
(((e|((g|~(g))>u))&(b|u))|(b>n))
| 1 | 0 | 0 | 0 |
entailment
|
(((j|n)>(u&j))&((g&(b>e))|(e>u)))
|
(j|(n>j))
| 1 | 1 | 1 | 1 |
entailment
|
(g&n)
|
(j|(n>j))
| 0 | 0 | 0 | 0 |
not entailment
|
(((j|n)>(u&j))&((g&(b>e))|(e>u)))
|
(((e|((g|~(g))>u))&(b|u))|(b>n))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((~(j)>g)|(x>(n|~(e)))))&d)
|
(u>~((n&x)))
| 1 | 1 | 0 | 0 |
entailment
|
(u|~((u>(n|j))))
|
(u|(~(e)&(u&j)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~(j)>g)|(x>(n|~(e)))))&d)
|
(u|(~(e)&(u&j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(u|~((u>(n|j))))
|
(u>~((n&x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&x)
|
(b>(((n>(e|(b>n)))&x)|(u&(((g|e)&g)|b))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)&~(g))
|
(((e|((d&g)>j))&~(g))|~((~((u&g))>g)))
| 1 | 0 | 0 | 0 |
entailment
|
(u&x)
|
(((e|((d&g)>j))&~(g))|~((~((u&g))>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&~(g))
|
(b>(((n>(e|(b>n)))&x)|(u&(((g|e)&g)|b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&~(~((~(~((d>e)))>d))))
|
(((j>n)&(~(b)|e))>(x>((u&e)|(d>n))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((e>e)>j))
|
(j>b)
| 1 | 1 | 0 | 0 |
entailment
|
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