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 |
|---|---|---|---|---|---|---|
~(((u>(c>z))|(t|b)))
|
(c|(t|m))
| 1 | 1 | 0 | 0 |
entailment
|
((t>(d|t))&z)
|
((u|t)>(z&(~(d)|(~(((z&c)|h))|(d&z)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u>(c>z))|(t|b)))
|
((u|t)>(z&(~(d)|(~(((z&c)|h))|(d&z)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t>(d|t))&z)
|
(c|(t|m))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(t)|z)&(~((u&t))|(d>z)))
|
((t>((d&m)|~(d)))|z)
| 1 | 1 | 0 | 0 |
entailment
|
(b&((h&m)|((t>(z|c))|(c|t))))
|
~((~(~(~(b)))&~(t)))
| 1 | 1 | 1 | 1 |
entailment
|
((~(t)|z)&(~((u&t))|(d>z)))
|
~((~(~(~(b)))&~(t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&((h&m)|((t>(z|c))|(c|t))))
|
((t>((d&m)|~(d)))|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(((z&u)|u)&((~(~((u&b)))>d)&z))
|
(((c&t)|(h&h))|(d>z))
| 1 | 1 | 0 | 0 |
entailment
|
((m>~(h))&t)
|
~((~(t)&((u>h)|((c>b)&t))))
| 1 | 0 | 0 | 0 |
entailment
|
(((z&u)|u)&((~(~((u&b)))>d)&z))
|
~((~(t)&((u>h)|((c>b)&t))))
| 0 | 1 | 0 | 0 |
not entailment
|
((m>~(h))&t)
|
(((c&t)|(h&h))|(d>z))
| 0 | 0 | 0 | 0 |
not entailment
|
(m|z)
|
(~(b)|(m|(t|z)))
| 1 | 0 | 0 | 0 |
entailment
|
(((c|d)&c)&d)
|
((m|c)>~(~(((m&t)>(d|d)))))
| 1 | 0 | 0 | 0 |
entailment
|
(m|z)
|
((m|c)>~(~(((m&t)>(d|d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c|d)&c)&d)
|
(~(b)|(m|(t|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((d>b))>(m|~((u>((h|t)>c))))))
|
((h>(c|~(u)))|(((d>z)>d)>((c&t)&h)))
| 1 | 1 | 0 | 0 |
entailment
|
(b&h)
|
(~(((~((c&t))>c)&~(u)))>(b|(t&c)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((d>b))>(m|~((u>((h|t)>c))))))
|
(~(((~((c&t))>c)&~(u)))>(b|(t&c)))
| 0 | 1 | 1 | 0 |
not entailment
|
(b&h)
|
((h>(c|~(u)))|(((d>z)>d)>((c&t)&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(d&((c>z)|c)))
|
(m|(t>d))
| 1 | 1 | 0 | 0 |
entailment
|
((d>(m|(t>z)))>~((t>c)))
|
~((((u&(h&m))|(b>z))&~(((t|u)|u))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(d&((c>z)|c)))
|
~((((u&(h&m))|(b>z))&~(((t|u)|u))))
| 0 | 0 | 0 | 0 |
not entailment
|
((d>(m|(t>z)))>~((t>c)))
|
(m|(t>d))
| 0 | 1 | 1 | 0 |
not entailment
|
(d&c)
|
(c|((d|c)&h))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(~(z)&~(~((c|d)))))
|
~(z)
| 1 | 1 | 1 | 1 |
entailment
|
(d&c)
|
~(z)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&(~(z)&~(~((c|d)))))
|
(c|((d|c)&h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((c|t)&~(d)))&((c|c)&(z&(h>t))))
|
((~(~(~((m>(t&d)))))|d)|~((~(u)>t)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(t)|d)|(u>z)))
|
(u|(~((((b&h)>h)>((z>b)&c)))|(t|m)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((c|t)&~(d)))&((c|c)&(z&(h>t))))
|
(u|(~((((b&h)>h)>((z>b)&c)))|(t|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(t)|d)|(u>z)))
|
((~(~(~((m>(t&d)))))|d)|~((~(u)>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(d)>(m&b))&u)
|
((z>(d&c))|u)
| 1 | 1 | 0 | 0 |
entailment
|
~(((z>z)>c))
|
~((((z>z)|(b>(~((b>t))&(b|t))))&c))
| 1 | 0 | 0 | 0 |
entailment
|
((~(d)>(m&b))&u)
|
~((((z>z)|(b>(~((b>t))&(b|t))))&c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z>z)>c))
|
((z>(d&c))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((b&(u&m)))>z))
|
(m|(z>(u&b)))
| 1 | 1 | 1 | 0 |
entailment
|
((t>(t|~(t)))&~((t>(b&(b>h)))))
|
(~(m)|(c>t))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((b&(u&m)))>z))
|
(~(m)|(c>t))
| 0 | 1 | 0 | 0 |
not entailment
|
((t>(t|~(t)))&~((t>(b&(b>h)))))
|
(m|(z>(u&b)))
| 0 | 1 | 0 | 0 |
not entailment
|
(d|~(~(((m&d)&d))))
|
(~(m)|(b|(d|c)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(d)&(c>~((z>m))))
|
(((t&c)&(h|z))>(~(~((b|h)))>~((m&z))))
| 1 | 0 | 0 | 0 |
entailment
|
(d|~(~(((m&d)&d))))
|
(((t&c)&(h|z))>(~(~((b|h)))>~((m&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&(c>~((z>m))))
|
(~(m)|(b|(d|c)))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&t)
|
(((t>t)>r)&t)
| 1 | 0 | 1 | 0 |
entailment
|
~(~(a))
|
~(~((a&(t|a))))
| 1 | 0 | 0 | 0 |
entailment
|
(r&t)
|
~(~((a&(t|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(a))
|
(((t>t)>r)&t)
| 0 | 0 | 0 | 0 |
not entailment
|
((((r&(a|a))>(~(~(t))>(r>r)))&a)&~(r))
|
((r>~((a>r)))&a)
| 1 | 1 | 1 | 1 |
entailment
|
(((a|a)&t)&a)
|
(t&a)
| 1 | 1 | 1 | 1 |
entailment
|
((((r&(a|a))>(~(~(t))>(r>r)))&a)&~(r))
|
(t&a)
| 0 | 1 | 1 | 0 |
not entailment
|
(((a|a)&t)&a)
|
((r>~((a>r)))&a)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a&~((t>t)))|(~(~((a>t)))&(t|r))))
|
(((t&t)|t)>r)
| 1 | 1 | 1 | 0 |
entailment
|
(t&(t>a))
|
(~(~(a))&a)
| 1 | 0 | 1 | 1 |
entailment
|
~(((a&~((t>t)))|(~(~((a>t)))&(t|r))))
|
(~(~(a))&a)
| 0 | 1 | 1 | 1 |
not entailment
|
(t&(t>a))
|
(((t&t)|t)>r)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r>r)>~((((r|r)>t)>(a&a)))))
|
(t>a)
| 1 | 1 | 1 | 1 |
entailment
|
(r&(a>(t|~(t))))
|
(r|t)
| 1 | 1 | 1 | 1 |
entailment
|
~(((r>r)>~((((r|r)>t)>(a&a)))))
|
(r|t)
| 0 | 1 | 1 | 0 |
not entailment
|
(r&(a>(t|~(t))))
|
(t>a)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((t|a)|a))
|
(t>r)
| 1 | 1 | 0 | 0 |
entailment
|
(((a|(t>(a>r)))>(t>(r>a)))&a)
|
(a|(r&(a|r)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((t|a)|a))
|
(a|(r&(a|r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a|(t>(a>r)))>(t>(r>a)))&a)
|
(t>r)
| 0 | 1 | 1 | 0 |
not entailment
|
((t>r)&(r>a))
|
(t>r)
| 1 | 1 | 1 | 1 |
entailment
|
((t>~(r))&~(~(a)))
|
(t|a)
| 1 | 1 | 1 | 0 |
entailment
|
((t>r)&(r>a))
|
(t|a)
| 0 | 1 | 1 | 0 |
not entailment
|
((t>~(r))&~(~(a)))
|
(t>r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((r&(t|a))>(((t>t)|t)>a)))
|
(t&((~(((t>a)>r))>(r>r))|r))
| 1 | 1 | 1 | 0 |
entailment
|
(a&((r&t)>t))
|
((((a>t)&r)&(a|a))|a)
| 1 | 0 | 1 | 0 |
entailment
|
~(((r&(t|a))>(((t>t)|t)>a)))
|
((((a>t)&r)&(a|a))|a)
| 0 | 1 | 1 | 1 |
not entailment
|
(a&((r&t)>t))
|
(t&((~(((t>a)>r))>(r>r))|r))
| 0 | 0 | 1 | 0 |
not entailment
|
((r&r)|r)
|
(r|~(((t|((r&r)>(a&t)))|r)))
| 1 | 0 | 0 | 0 |
entailment
|
(a|(r&(~(a)>(a&~(a)))))
|
(r>a)
| 1 | 1 | 1 | 0 |
entailment
|
((r&r)|r)
|
(r>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(a|(r&(~(a)>(a&~(a)))))
|
(r|~(((t|((r&r)>(a&t)))|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((a&r)>(r&~(r))))&((t|r)>r))
|
(((t>(r|a))&r)|a)
| 1 | 1 | 1 | 1 |
entailment
|
(((t>a)|a)>(~(r)&r))
|
(r>(r&t))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((a&r)>(r&~(r))))&((t|r)>r))
|
(r>(r&t))
| 0 | 1 | 1 | 0 |
not entailment
|
(((t>a)|a)>(~(r)&r))
|
(((t>(r|a))&r)|a)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(((((r>(t>r))|a)&t)>(r|a)))))
|
~((t&(r&a)))
| 1 | 1 | 1 | 1 |
entailment
|
(t>r)
|
(((~(r)>(r|t))&(a|~((t>(a|r)))))>a)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((((r>(t>r))|a)&t)>(r|a)))))
|
(((~(r)>(r|t))&(a|~((t>(a|r)))))>a)
| 0 | 1 | 1 | 1 |
not entailment
|
(t>r)
|
~((t&(r&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((w&((s&u)>b))|~((i&(~(b)|s)))))
|
(i&i)
| 1 | 1 | 1 | 1 |
entailment
|
(((s>u)|u)&((b&d)&u))
|
~((~((((b&b)|b)|~(i)))&~(b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((w&((s&u)>b))|~((i&(~(b)|s)))))
|
~((~((((b&b)|b)|~(i)))&~(b)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((s>u)|u)&((b&d)&u))
|
(i&i)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i>w))|(i|(w|b)))
|
(((d|b)|w)|(d|i))
| 1 | 1 | 0 | 0 |
entailment
|
(~(s)|((((b&i)>(i&b))&(s|d))>b))
|
(~((((i&u)>d)>b))>((s>d)|i))
| 1 | 1 | 0 | 0 |
entailment
|
(~((i>w))|(i|(w|b)))
|
(~((((i&u)>d)>b))>((s>d)|i))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(s)|((((b&i)>(i&b))&(s|d))>b))
|
(((d|b)|w)|(d|i))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&s)
|
(s|(s&u))
| 1 | 0 | 0 | 0 |
entailment
|
~(i)
|
~((((s&b)&d)&((i&(i|(s&d)))&i)))
| 1 | 0 | 0 | 0 |
entailment
|
(b&s)
|
~((((s&b)&d)&((i&(i|(s&d)))&i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(i)
|
(s|(s&u))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((~(((d|d)|d))>b)))>~((b|u))))
|
(s>((b|d)|b))
| 1 | 1 | 0 | 0 |
entailment
|
((d|s)&((u|d)&((i>((b>b)|w))>w)))
|
((w&((i>s)&u))|(~(w)>(~((s&s))&w)))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(~((~(((d|d)|d))>b)))>~((b|u))))
|
((w&((i>s)&u))|(~(w)>(~((s&s))&w)))
| 0 | 1 | 0 | 0 |
not entailment
|
((d|s)&((u|d)&((i>((b>b)|w))>w)))
|
(s>((b|d)|b))
| 0 | 1 | 1 | 0 |
not entailment
|
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