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 |
|---|---|---|---|---|---|---|
~((s>(f&f)))
|
(~(d)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((s|~(f)))|~(d)))
|
((f|((d|s)>~((f>f))))|s)
| 0 | 1 | 1 | 0 |
not entailment
|
(((s>d)&s)&d)
|
(f>s)
| 1 | 1 | 0 | 0 |
entailment
|
(d>(f&(s|(f|s))))
|
((~((s&d))|f)&(d>f))
| 1 | 0 | 1 | 0 |
entailment
|
(((s>d)&s)&d)
|
((~((s&d))|f)&(d>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(d>(f&(s|(f|s))))
|
(f>s)
| 0 | 1 | 1 | 0 |
not entailment
|
(((((s&d)|s)&f)&(s>d))&(f>f))
|
(((s>(s|(s|d)))>s)&(d|f))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(f)|s))
|
~(((d|f)&~(~((s&s)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((((s&d)|s)&f)&(s>d))&(f>f))
|
~(((d|f)&~(~((s&s)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(f)|s))
|
(((s>(s|(s|d)))>s)&(d|f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((d>d)&d)|(s|(s|d)))&d))
|
(d>(f|((~(((d>f)&s))|s)&(s&(s&s)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d>(f|f))|~((f>(s&(d&(f>f)))))))
|
(d|f)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((d>d)&d)|(s|(s|d)))&d))
|
(d|f)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d>(f|f))|~((f>(s&(d&(f>f)))))))
|
(d>(f|((~(((d>f)&s))|s)&(s&(s&s)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((s>(((s|s)&((d&f)>f))|s))&((d|~(f))>f))
|
(f|~(~(((s|(d&s))>(f|f)))))
| 1 | 1 | 1 | 1 |
entailment
|
((((~(~((s>d)))|s)|s)&d)&(s&((f|s)&d)))
|
~((~(~((f&~((d&f)))))&(d>s)))
| 1 | 1 | 1 | 0 |
entailment
|
((s>(((s|s)&((d&f)>f))|s))&((d|~(f))>f))
|
~((~(~((f&~((d&f)))))&(d>s)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((~(~((s>d)))|s)|s)&d)&(s&((f|s)&d)))
|
(f|~(~(((s|(d&s))>(f|f)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(f&f)
|
(s|((f|d)|(d&f)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((f|s)&((f&(f&d))|(f>s))))
|
(((f|(d|f))&(f>~(f)))|(f>(~(s)|d)))
| 1 | 0 | 1 | 0 |
entailment
|
(f&f)
|
(((f|(d|f))&(f>~(f)))|(f>(~(s)|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((f|s)&((f&(f&d))|(f>s))))
|
(s|((f|d)|(d&f)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((f>f)&f)&((f>(d&s))&f))
|
(~((s>(d&f)))>d)
| 1 | 1 | 1 | 0 |
entailment
|
((d>s)&(~(f)&~((f&~((d|s))))))
|
~((f|((s|d)&~((~(f)|(~((f&d))>f))))))
| 1 | 0 | 1 | 0 |
entailment
|
(((f>f)&f)&((f>(d&s))&f))
|
~((f|((s|d)&~((~(f)|(~((f&d))>f))))))
| 0 | 0 | 1 | 0 |
not entailment
|
((d>s)&(~(f)&~((f&~((d|s))))))
|
(~((s>(d&f)))>d)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(((s|(~(s)>d))&(d&((s&d)|s))))))
|
(~(f)>~((d&s)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(((s>f)&s)))&((f|s)&s)))
|
((s>d)|~(~(~((((~(f)|f)|s)>f)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((s|(~(s)>d))&(d&((s&d)|s))))))
|
((s>d)|~(~(~((((~(f)|f)|s)>f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(((s>f)&s)))&((f|s)&s)))
|
(~(f)>~((d&s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&t)
|
((t|t)&(l|(a|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(((l>a)&(a>a))&l)
|
(~(t)|l)
| 1 | 1 | 0 | 0 |
entailment
|
(a&t)
|
(~(t)|l)
| 0 | 0 | 0 | 0 |
not entailment
|
(((l>a)&(a>a))&l)
|
((t|t)&(l|(a|t)))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&l)&~(~((t&l))))
|
((t|a)>(((l&l)|l)&l))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(a))
|
((l|(((t>l)|~(t))>(a|l)))&(l>a))
| 1 | 0 | 0 | 0 |
entailment
|
((t&l)&~(~((t&l))))
|
((l|(((t>l)|~(t))>(a|l)))&(l>a))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(a))
|
((t|a)>(((l&l)|l)&l))
| 0 | 0 | 0 | 0 |
not entailment
|
((((l|t)>t)&l)&t)
|
(((a|((t&(t>t))>a))&(t|a))|l)
| 1 | 0 | 0 | 0 |
entailment
|
~(((a|(t|t))|((t&a)&l)))
|
~(((~(a)|(l|l))>(t|t)))
| 1 | 1 | 1 | 0 |
entailment
|
((((l|t)>t)&l)&t)
|
~(((~(a)|(l|l))>(t|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a|(t|t))|((t&a)&l)))
|
(((a|((t&(t>t))>a))&(t|a))|l)
| 0 | 0 | 1 | 0 |
not entailment
|
((l|a)>((l&(l&t))|(l|t)))
|
(a>((t|l)|l))
| 1 | 1 | 1 | 1 |
entailment
|
((a&t)|(a&(((~((a&t))>t)|a)>~(l))))
|
(~(t)>((((t>t)&l)>(a&a))>a))
| 1 | 1 | 1 | 0 |
entailment
|
((l|a)>((l&(l&t))|(l|t)))
|
(~(t)>((((t>t)&l)>(a&a))>a))
| 0 | 0 | 1 | 0 |
not entailment
|
((a&t)|(a&(((~((a&t))>t)|a)>~(l))))
|
(a>((t|l)|l))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(t))
|
(((a>a)&(l&t))|(~((a&t))>t))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((a>~(l)))))
|
(((t>t)>(l|a))|l)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(t))
|
(((t>t)>(l|a))|l)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((a>~(l)))))
|
(((a>a)&(l&t))|(~((a&t))>t))
| 0 | 0 | 0 | 0 |
not entailment
|
((t>a)&(((t>(t>~(l)))|a)&t))
|
(a|t)
| 1 | 1 | 1 | 1 |
entailment
|
~((a&(t&(~(((a>l)|a))>(a&a)))))
|
~((~(((t&a)>~(t)))&l))
| 1 | 1 | 1 | 1 |
entailment
|
((t>a)&(((t>(t>~(l)))|a)&t))
|
~((~(((t&a)>~(t)))&l))
| 0 | 1 | 1 | 0 |
not entailment
|
~((a&(t&(~(((a>l)|a))>(a&a)))))
|
(a|t)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((t>a))&(a>((l>(a&l))|a)))
|
(a>l)
| 1 | 1 | 1 | 1 |
entailment
|
((a&((t&l)>t))&(t|l))
|
(~(t)|(l>a))
| 1 | 1 | 1 | 1 |
entailment
|
(~((t>a))&(a>((l>(a&l))|a)))
|
(~(t)|(l>a))
| 0 | 1 | 1 | 0 |
not entailment
|
((a&((t&l)>t))&(t|l))
|
(a>l)
| 0 | 1 | 1 | 0 |
not entailment
|
((((a>t)>(t>l))|~((t|(t&t))))&(a>l))
|
~(~((((t&t)>l)>((a|l)>(l|t)))))
| 1 | 1 | 1 | 0 |
entailment
|
(((l&t)|(a|t))|a)
|
(((~(((l&(l|(a&t)))|(l>a)))|t)|a)|t)
| 1 | 0 | 1 | 0 |
entailment
|
((((a>t)>(t>l))|~((t|(t&t))))&(a>l))
|
(((~(((l&(l|(a&t)))|(l>a)))|t)|a)|t)
| 0 | 1 | 1 | 0 |
not entailment
|
(((l&t)|(a|t))|a)
|
~(~((((t&t)>l)>((a|l)>(l|t)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(t|(t&l))
|
((a>t)|((((~(t)&t)>t)|t)&(t|l)))
| 1 | 0 | 0 | 0 |
entailment
|
~((t&(~((a|a))&(a>a))))
|
((((a>l)|(l&l))&t)>(l&t))
| 1 | 1 | 0 | 0 |
entailment
|
(t|(t&l))
|
((((a>l)|(l&l))&t)>(l&t))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t&(~((a|a))&(a>a))))
|
((a>t)|((((~(t)&t)>t)|t)&(t|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&(a&(l&(l|a))))
|
((a&(l&(l|a)))|(t|(l|l)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((l|t))>(((t|l)&(t|t))|a)))
|
(~((a|t))&(t>(l>t)))
| 1 | 1 | 1 | 0 |
entailment
|
(a&(a&(l&(l|a))))
|
(~((a|t))&(t>(l>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((l|t))>(((t|l)&(t|t))|a)))
|
((a&(l&(l|a)))|(t|(l|l)))
| 0 | 1 | 1 | 0 |
not entailment
|
((a>a)>(~(t)&(~((a|l))|~(t))))
|
~(~(~(~(((l&(t&t))>(l&(l&a)))))))
| 1 | 0 | 1 | 0 |
entailment
|
((a&~(~(~(a))))|~(~(t)))
|
(~((a|(a|t)))>((a|l)|a))
| 1 | 1 | 0 | 0 |
entailment
|
((a>a)>(~(t)&(~((a|l))|~(t))))
|
(~((a|(a|t)))>((a|l)|a))
| 0 | 1 | 1 | 0 |
not entailment
|
((a&~(~(~(a))))|~(~(t)))
|
~(~(~(~(((l&(t&t))>(l&(l&a)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(l|(a&a))
|
((t&(t>a))|(l|~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((l|(a>l)))>((a>l)&t))
|
(((((t>t)|a)>a)>~(~(l)))|l)
| 1 | 0 | 1 | 0 |
entailment
|
(l|(a&a))
|
(((((t>t)|a)>a)>~(~(l)))|l)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((l|(a>l)))>((a>l)&t))
|
((t&(t>a))|(l|~(t)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((((l>a)>l)>(~(t)|t))&l)>(l&t)))
|
((a&~(~(t)))>l)
| 1 | 1 | 1 | 0 |
entailment
|
((t|t)&(a&a))
|
((a|(t&l))&t)
| 1 | 1 | 0 | 0 |
entailment
|
~((((((l>a)>l)>(~(t)|t))&l)>(l&t)))
|
((a|(t&l))&t)
| 0 | 1 | 1 | 1 |
not entailment
|
((t|t)&(a&a))
|
((a&~(~(t)))>l)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((a&a)|t)&l))&(l>l))
|
~((l&(t&a)))
| 1 | 1 | 1 | 1 |
entailment
|
((l&(t&t))&a)
|
(~(t)|(t>a))
| 1 | 1 | 1 | 0 |
entailment
|
(~((((a&a)|t)&l))&(l>l))
|
(~(t)|(t>a))
| 0 | 1 | 1 | 0 |
not entailment
|
((l&(t&t))&a)
|
~((l&(t&a)))
| 0 | 1 | 1 | 0 |
not entailment
|
(s&(~(i)&n))
|
(z|s)
| 1 | 1 | 0 | 0 |
entailment
|
(b&(e&b))
|
((e|y)|(e&i))
| 1 | 0 | 0 | 0 |
entailment
|
(s&(~(i)&n))
|
((e|y)|(e&i))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(e&b))
|
(z|s)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((i&(~(b)>z))|(i|w))&(~(n)&y))>w))
|
~((e&((n&s)&z)))
| 1 | 1 | 0 | 0 |
entailment
|
(u&~(((s&y)&e)))
|
(~((u|~((i|s))))>~(((i>~(z))&p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((i&(~(b)>z))|(i|w))&(~(n)&y))>w))
|
(~((u|~((i|s))))>~(((i>~(z))&p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&~(((s&y)&e)))
|
~((e&((n&s)&z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((b&z)>~(((s>~(p))|z)))))&b)
|
((i>w)>b)
| 1 | 1 | 0 | 0 |
entailment
|
(((n|p)|e)&(u&w))
|
((((i>i)&u)&(u|s))|(y|p))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((b&z)>~(((s>~(p))|z)))))&b)
|
((((i>i)&u)&(u|s))|(y|p))
| 0 | 1 | 0 | 0 |
not entailment
|
(((n|p)|e)&(u&w))
|
((i>w)>b)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(u&p))
|
(~(((i|s)|i))>(b|z))
| 1 | 0 | 0 | 0 |
entailment
|
~(((n>b)|(~(~((i>p)))>((n&z)|y))))
|
(b>i)
| 1 | 1 | 1 | 0 |
entailment
|
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