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>o))
|
(((~(u)&~(o))&(~(o)|(s>s)))>(h>(r|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((h|~((~(u)&~(s)))))
|
(((s>n)|~(h))|(~(x)&(n>j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(((r>u)&(((r&h)&j)>r)))))&s)
|
(r&s)
| 1 | 1 | 1 | 1 |
entailment
|
~((h|~((~(u)&~(s)))))
|
(r&s)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(((r>u)&(((r&h)&j)>r)))))&s)
|
(((s>n)|~(h))|(~(x)&(n>j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((a|b)>u))&((a&x)>a))
|
((b|(~(j)|a))|~(u))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(h))&j)&x)
|
(((o>h)|x)|((h>n)&(x|((h>r)>n))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((a|b)>u))&((a&x)>a))
|
(((o>h)|x)|((h>n)&(x|((h>r)>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(h))&j)&x)
|
((b|(~(j)|a))|~(u))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((a|u)|j)|(s|(~(a)&b))))
|
(s>r)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(((j&s)>s)))&(~((s&x))&(s&a)))
|
~(((x>o)>~((a>a))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((a|u)|j)|(s|(~(a)&b))))
|
~(((x>o)>~((a>a))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((j&s)>s)))&(~((s&x))&(s&a)))
|
(s>r)
| 0 | 1 | 0 | 0 |
not entailment
|
((s&((a|j)&~(a)))&~(~((h|r))))
|
(x>(((s|s)&x)|~(u)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((r>j))))
|
(((o>b)|a)>(r|b))
| 1 | 1 | 0 | 0 |
entailment
|
((s&((a|j)&~(a)))&~(~((h|r))))
|
(((o>b)|a)>(r|b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((r>j))))
|
(x>(((s|s)&x)|~(u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u|o))
|
~((n&(~((u|(x>b)))&((n|a)&(j&o)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((o>x)|a)&h))
|
~(~(~(((h&(b&x))&x))))
| 1 | 0 | 0 | 0 |
entailment
|
~((u|o))
|
~(~(~(((h&(b&x))&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((o>x)|a)&h))
|
~((n&(~((u|(x>b)))&((n|a)&(j&o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s|u))
|
(s>(((j&r)|(x|b))|~(((r|j)>r))))
| 1 | 0 | 0 | 0 |
entailment
|
~(j)
|
~((j&(o>~(~(s)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((s|u))
|
~((j&(o>~(~(s)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(j)
|
(s>(((j&r)|(x|b))|~(((r|j)>r))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&f)>((~(n)&d)&(~(d)>(~(f)&t)))))
|
((~(t)>r)|(t&(n>((d&~((t>t)))&~(a)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((n>t)|(a|(~(f)|t))))
|
~((f>(((n>a)>n)>(a&~(a)))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((r&f)>((~(n)&d)&(~(d)>(~(f)&t)))))
|
~((f>(((n>a)>n)>(a&~(a)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((n>t)|(a|(~(f)|t))))
|
((~(t)>r)|(t&(n>((d&~((t>t)))&~(a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((r|f)&r)>(n|f))|d))
|
~(((n&n)&d))
| 1 | 1 | 1 | 1 |
entailment
|
~(((t&f)>~((n&(d>(r&t))))))
|
(((~(n)>(f&d))>a)>(a|f))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((r|f)&r)>(n|f))|d))
|
(((~(n)>(f&d))>a)>(a|f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t&f)>~((n&(d>(r&t))))))
|
~(((n&n)&d))
| 0 | 1 | 1 | 0 |
not entailment
|
((a&~((r>t)))&((f>(n>f))>(f|f)))
|
((((n&t)>t)|~(d))&((n|~(~(f)))>(t|f)))
| 1 | 0 | 0 | 0 |
entailment
|
(n&(r|n))
|
((n|((a|r)&n))|t)
| 1 | 0 | 0 | 0 |
entailment
|
((a&~((r>t)))&((f>(n>f))>(f|f)))
|
((n|((a|r)&n))|t)
| 0 | 1 | 1 | 0 |
not entailment
|
(n&(r|n))
|
((((n&t)>t)|~(d))&((n|~(~(f)))>(t|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((~((n&(n&d)))|d)>r)&n)>(~(f)|d)))
|
~(~((r&f)))
| 1 | 1 | 1 | 1 |
entailment
|
(n&(n>(f&(a&(t&t)))))
|
((a|~(t))|(r>d))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((~((n&(n&d)))|d)>r)&n)>(~(f)|d)))
|
((a|~(t))|(r>d))
| 0 | 1 | 0 | 0 |
not entailment
|
(n&(n>(f&(a&(t&t)))))
|
~(~((r&f)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a&f)|(r|((f&f)>r))))
|
(f|(r>f))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((a&d)))
|
(d|a)
| 1 | 1 | 1 | 1 |
entailment
|
~(((a&f)|(r|((f&f)>r))))
|
(d|a)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((a&d)))
|
(f|(r>f))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&~(~(n)))&(r|((n>~(t))&a)))
|
((n&n)|~(~((f&~(r)))))
| 1 | 1 | 0 | 0 |
entailment
|
((f>t)&~((r|t)))
|
(~(~(~(~((((r&d)&r)|f)))))>(t>~(r)))
| 1 | 0 | 0 | 0 |
entailment
|
((t&~(~(n)))&(r|((n>~(t))&a)))
|
(~(~(~(~((((r&d)&r)|f)))))>(t>~(r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((f>t)&~((r|t)))
|
((n&n)|~(~((f&~(r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((((d|t)&n)&~(f)))&a))
|
(t>((a>~(a))|(r>n)))
| 1 | 1 | 0 | 0 |
entailment
|
~(d)
|
((t|r)>(a>((d|d)>r)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((((d|t)&n)&~(f)))&a))
|
((t|r)>(a>((d|d)>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(d)
|
(t>((a>~(a))|(r>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(d)>f))&~((t>(r|d))))
|
(((a>a)>f)|~(~(t)))
| 1 | 1 | 0 | 0 |
entailment
|
(((a>t)|((r>t)|n))&(((r>t)|n)&r))
|
(~((d&(((d&f)&t)&t)))>~(~(r)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(d)>f))&~((t>(r|d))))
|
(~((d&(((d&f)&t)&t)))>~(~(r)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((a>t)|((r>t)|n))&(((r>t)|n)&r))
|
(((a>a)>f)|~(~(t)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((n&f)&((r>d)|(t&r)))&t)&(a&r))
|
(r>a)
| 1 | 1 | 1 | 1 |
entailment
|
((~((d|f))&(~(n)|d))&((f>a)|(f&n)))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
((((n&f)&((r>d)|(t&r)))&t)&(a&r))
|
~(f)
| 0 | 1 | 1 | 0 |
not entailment
|
((~((d|f))&(~(n)|d))&((f>a)|(f&n)))
|
(r>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(a|~((f>t)))
|
(~((n>(a|f)))>d)
| 1 | 0 | 0 | 0 |
entailment
|
(((t|f)|(d&f))&r)
|
((r|d)|n)
| 1 | 1 | 0 | 0 |
entailment
|
(a|~((f>t)))
|
((r|d)|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((t|f)|(d&f))&r)
|
(~((n>(a|f)))>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&t)
|
(((f&(n|f))&~(((r|(r&f))&f)))|(a>(r&r)))
| 1 | 0 | 0 | 0 |
entailment
|
((a>(n>(d>f)))>~((t>d)))
|
((~((t&n))|(t|~(t)))&(d>(n&((r|d)|r))))
| 1 | 0 | 0 | 0 |
entailment
|
(f&t)
|
((~((t&n))|(t|~(t)))&(d>(n&((r|d)|r))))
| 0 | 0 | 0 | 0 |
not entailment
|
((a>(n>(d>f)))>~((t>d)))
|
(((f&(n|f))&~(((r|(r&f))&f)))|(a>(r&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f&f)|n)|(((r&(a&a))&(r>d))|(t&n)))
|
(~(((r>r)&((~((f|t))>n)|a)))>t)
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(~(n))>(d>(n&t))))|(~(f)&r))
|
(((t&f)|r)>r)
| 1 | 1 | 1 | 0 |
entailment
|
(((f&f)|n)|(((r&(a&a))&(r>d))|(t&n)))
|
(((t&f)|r)>r)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~(~(n))>(d>(n&t))))|(~(f)&r))
|
(~(((r>r)&((~((f|t))>n)|a)))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
(((d&(n&n))|d)&((d&(f&d))&(~(t)|t)))
|
(a>f)
| 1 | 1 | 0 | 0 |
entailment
|
((~((r>~(f)))|(t|d))&t)
|
(((t>r)&(((r&r)>a)>(f&a)))>t)
| 1 | 0 | 0 | 0 |
entailment
|
(((d&(n&n))|d)&((d&(f&d))&(~(t)|t)))
|
(((t>r)&(((r&r)>a)>(f&a)))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((r>~(f)))|(t|d))&t)
|
(a>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&f)
|
((r&f)&f)
| 1 | 0 | 1 | 1 |
entailment
|
((n&(r&(f|~(f))))&((f&f)>((n|t)&(t>r))))
|
((~(~(r))&n)|(t|~((f>~((a|(n&t)))))))
| 1 | 1 | 0 | 0 |
entailment
|
(r&f)
|
((~(~(r))&n)|(t|~((f>~((a|(n&t)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((n&(r&(f|~(f))))&((f&f)>((n|t)&(t>r))))
|
((r&f)&f)
| 0 | 1 | 1 | 1 |
not entailment
|
((n>(t>d))&n)
|
~(~(((~((f&r))|n)&(t>(d>t)))))
| 1 | 0 | 0 | 0 |
entailment
|
((n>(t>d))&n)
|
(t|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(f|t)
|
~(~(((~((f&r))|n)&(t>(d>t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&(r>a))
|
(((n|(f|(a&a)))>(t&~(a)))>(t&t))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((a|d))|t))
|
(r>(t>d))
| 1 | 1 | 0 | 0 |
entailment
|
(n&(r>a))
|
(r>(t>d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((a|d))|t))
|
(((n|(f|(a&a)))>(t&~(a)))>(t&t))
| 0 | 0 | 0 | 0 |
not entailment
|
((((n>n)>n)&(f&t))&((n&t)>f))
|
(n|t)
| 1 | 1 | 1 | 1 |
entailment
|
((a&d)&a)
|
((t>t)>d)
| 1 | 1 | 0 | 0 |
entailment
|
((((n>n)>n)&(f&t))&((n&t)>f))
|
((t>t)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
((a&d)&a)
|
(n|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&p)
|
((k|u)>p)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(h)))&l)
|
(r>~(~(~(h))))
| 1 | 1 | 0 | 0 |
entailment
|
(r&p)
|
(r>~(~(~(h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(h)))&l)
|
((k|u)>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((p>r))
|
(~(~(((k>l)|(u>r))))|p)
| 1 | 0 | 0 | 0 |
entailment
|
(k&((k>u)|(l>((p>h)>k))))
|
(k|(p>k))
| 1 | 1 | 1 | 0 |
entailment
|
~((p>r))
|
(k|(p>k))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&((k>u)|(l>((p>h)>k))))
|
(~(~(((k>l)|(u>r))))|p)
| 0 | 1 | 0 | 0 |
not entailment
|
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