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 |
---|---|---|---|---|---|---|
((((x&x)&(c|y))>y)&((c&p)&~((x|(n&j)))))
|
((p|j)|x)
| 1 | 1 | 1 | 0 |
entailment
|
~(c)
|
((p|j)|x)
| 0 | 0 | 0 | 0 |
not entailment
|
((((x&x)&(c|y))>y)&((c&p)&~((x|(n&j)))))
|
~(c)
| 0 | 1 | 1 | 1 |
not entailment
|
(((a>a)&~(((~(c)&n)>y)))&((n>~(j))&p))
|
(((p|a)|~(~(t)))|c)
| 1 | 1 | 0 | 0 |
entailment
|
~((((t|y)&(p>x))|a))
|
((t|p)>(t>(t>~(((x>y)>~(((x>a)|c)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((a>a)&~(((~(c)&n)>y)))&((n>~(j))&p))
|
((t|p)>(t>(t>~(((x>y)>~(((x>a)|c)))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((t|y)&(p>x))|a))
|
(((p|a)|~(~(t)))|c)
| 0 | 1 | 0 | 0 |
not entailment
|
~((c|(~(~((p|n)))>(j|(x|c)))))
|
~(((y>(p|~(p)))&(~((a>t))&c)))
| 1 | 1 | 0 | 0 |
entailment
|
(y&c)
|
((y|((n|j)&a))|~((~((c>y))|(x|~(x)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((c|(~(~((p|n)))>(j|(x|c)))))
|
((y|((n|j)&a))|~((~((c>y))|(x|~(x)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&c)
|
~(((y>(p|~(p)))&(~((a>t))&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((n&~(~((j>(y&y))))))&~(c))
|
(~((n&c))|((~(p)>((x|~(x))|n))>y))
| 1 | 0 | 0 | 0 |
entailment
|
((x&j)&(((t|j)&n)&(j>j)))
|
(j|~(t))
| 1 | 1 | 1 | 0 |
entailment
|
(~((n&~(~((j>(y&y))))))&~(c))
|
(j|~(t))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&j)&(((t|j)&n)&(j>j)))
|
(~((n&c))|((~(p)>((x|~(x))|n))>y))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t>c)|n))
|
(t|(c&y))
| 1 | 1 | 0 | 0 |
entailment
|
(y&(y>n))
|
(n|j)
| 1 | 1 | 0 | 0 |
entailment
|
~(((t>c)|n))
|
(n|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&(y>n))
|
(t|(c&y))
| 0 | 1 | 0 | 0 |
not entailment
|
(n&((j&t)&j))
|
((c&y)>t)
| 1 | 1 | 0 | 0 |
entailment
|
((j&p)|p)
|
((((c&j)>p)|x)&(~(a)|a))
| 1 | 0 | 0 | 0 |
entailment
|
(n&((j&t)&j))
|
((((c&j)>p)|x)&(~(a)|a))
| 0 | 0 | 0 | 0 |
not entailment
|
((j&p)|p)
|
((c&y)>t)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&~((c|p)))
|
(~(x)>~(c))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(~(((y&((a&y)|c))&t)))))
|
(((y>n)|(t&(y|t)))|p)
| 1 | 1 | 0 | 0 |
entailment
|
(j&~((c|p)))
|
(((y>n)|(t&(y|t)))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(((y&((a&y)|c))&t)))))
|
(~(x)>~(c))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&n)
|
(((x>j)|(y&(n>y)))|((j&n)&c))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p&(p&t))|((a|c)>((t|a)|((n&x)>j)))))
|
(((t>j)&j)>(p&t))
| 1 | 1 | 1 | 0 |
entailment
|
(j&n)
|
(((t>j)&j)>(p&t))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((p&(p&t))|((a|c)>((t|a)|((n&x)>j)))))
|
(((x>j)|(y&(n>y)))|((j&n)&c))
| 0 | 1 | 0 | 0 |
not entailment
|
(((u&~((c&(o>y))))&~(d))&p)
|
(((c&~(z))>~((c&z)))>u)
| 1 | 1 | 0 | 0 |
entailment
|
(((((r&t)>((y>c)&u))>~((c>c)))&b)&d)
|
~(~((d|b)))
| 1 | 1 | 1 | 1 |
entailment
|
(((u&~((c&(o>y))))&~(d))&p)
|
~(~((d|b)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((r&t)>((y>c)&u))>~((c>c)))&b)&d)
|
(((c&~(z))>~((c&z)))>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(c)>y)&(c|((c>y)|z))))
|
(y>(r&z))
| 1 | 1 | 0 | 0 |
entailment
|
(d&b)
|
(b|p)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(c)>y)&(c|((c>y)|z))))
|
(b|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&b)
|
(y>(r&z))
| 0 | 0 | 0 | 0 |
not entailment
|
((z|p)&b)
|
(~((t>(b&(o>((p&c)&o)))))>o)
| 1 | 0 | 0 | 0 |
entailment
|
((r|(d|b))&(z&t))
|
(((z&c)|z)|(~((~((b&y))>(c>o)))>r))
| 1 | 0 | 0 | 0 |
entailment
|
((z|p)&b)
|
(((z&c)|z)|(~((~((b&y))>(c>o)))>r))
| 0 | 0 | 0 | 0 |
not entailment
|
((r|(d|b))&(z&t))
|
(~((t>(b&(o>((p&c)&o)))))>o)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(c)&b)
|
~((c&(p>~(u))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(~(~((r|r))))|(r>(d>o)))>t)&t)
|
((t|p)|(((b|y)>~((~(z)&d)))>t))
| 1 | 1 | 0 | 0 |
entailment
|
(~(c)&b)
|
((t|p)|(((b|y)>~((~(z)&d)))>t))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(~(~((r|r))))|(r>(d>o)))>t)&t)
|
~((c&(p>~(u))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((~(b)&d))|((y>~(c))|(r>t))))
|
(~(~(t))|c)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(((u|d)|z))>(~((t>~(o)))|y)))
|
~(~((o>(d>u))))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((~(b)&d))|((y>~(c))|(r>t))))
|
~(~((o>(d>u))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((u|d)|z))>(~((t>~(o)))|y)))
|
(~(~(t))|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(d|d)
|
(~(d)>~((p>d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(r))>(b>c)))
|
((o|p)>(~(c)>b))
| 1 | 1 | 0 | 0 |
entailment
|
(d|d)
|
((o|p)>(~(c)>b))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(r))>(b>c)))
|
(~(d)>~((p>d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((y|(b&r))&p)
|
(y|b)
| 1 | 1 | 1 | 1 |
entailment
|
(((t&u)&p)&((z>z)|r))
|
(((t>c)&z)>u)
| 1 | 1 | 0 | 0 |
entailment
|
((y|(b&r))&p)
|
(((t>c)&z)>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(((t&u)&p)&((z>z)|r))
|
(y|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&r)
|
((d|(((o>r)>p)>~(~((p|(y&t))))))|p)
| 1 | 0 | 0 | 0 |
entailment
|
(b&o)
|
(d|(o&b))
| 1 | 0 | 0 | 0 |
entailment
|
(r&r)
|
(d|(o&b))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&o)
|
((d|(((o>r)>p)>~(~((p|(y&t))))))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
((z|b)&~((d|z)))
|
(((((r|o)|c)|o)>((t&r)|u))|(r|b))
| 1 | 0 | 0 | 0 |
entailment
|
((((b|o)&(p&(t&c)))|t)&d)
|
(~((z>~((((u|b)>u)&(c&p)))))|(d|o))
| 1 | 0 | 0 | 0 |
entailment
|
((z|b)&~((d|z)))
|
(~((z>~((((u|b)>u)&(c&p)))))|(d|o))
| 0 | 0 | 0 | 0 |
not entailment
|
((((b|o)&(p&(t&c)))|t)&d)
|
(((((r|o)|c)|o)>((t&r)|u))|(r|b))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&(c>c))>((p>c)|(d&u))))
|
(z>(p|((~(~(t))|(o>y))|y)))
| 1 | 1 | 0 | 0 |
entailment
|
((d|(((b&p)&t)&o))&((r>r)>u))
|
((o|d)|~(~(~((c|b)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((r&(c>c))>((p>c)|(d&u))))
|
((o|d)|~(~(~((c|b)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((d|(((b&p)&t)&o))&((r>r)>u))
|
(z>(p|((~(~(t))|(o>y))|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z>((o>((y&r)&(u&o)))|(u>c))))
|
(u|t)
| 1 | 1 | 0 | 0 |
entailment
|
(p&(d>b))
|
((((t|o)>(~(u)|t))&(t|b))|(r|p))
| 1 | 0 | 0 | 0 |
entailment
|
~((z>((o>((y&r)&(u&o)))|(u>c))))
|
((((t|o)>(~(u)|t))&(t|b))|(r|p))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&(d>b))
|
(u|t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(~((y|o)))&((c>c)&(p>t)))>p))
|
(~(((p>o)|~((b>(o&(c|z))))))>(y>u))
| 1 | 1 | 0 | 0 |
entailment
|
(p&z)
|
~(~((~((o&o))|((o&(u>b))|(o>p)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(~((y|o)))&((c>c)&(p>t)))>p))
|
~(~((~((o&o))|((o&(u>b))|(o>p)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&z)
|
(~(((p>o)|~((b>(o&(c|z))))))>(y>u))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((p>~(y))>o))
|
((o&y)>p)
| 1 | 1 | 1 | 0 |
entailment
|
(r&u)
|
(~((z>~((z>c))))>((z&c)&(b>u)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p>~(y))>o))
|
(~((z>~((z>c))))>((z&c)&(b>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&u)
|
((o&y)>p)
| 0 | 0 | 0 | 0 |
not entailment
|
((z&u)&c)
|
(((b|c)>(~(t)|o))>c)
| 1 | 0 | 0 | 0 |
entailment
|
((c>p)&(o&z))
|
((o&z)&(o|d))
| 1 | 1 | 0 | 0 |
entailment
|
((z&u)&c)
|
((o&z)&(o|d))
| 0 | 0 | 0 | 0 |
not entailment
|
((c>p)&(o&z))
|
(((b|c)>(~(t)|o))>c)
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>(y>c)))
|
(u|t)
| 1 | 1 | 0 | 0 |
entailment
|
~((c>~((((p|(r>o))&c)&((t>b)>y)))))
|
~(~(c))
| 1 | 1 | 1 | 1 |
entailment
|
~((u>(y>c)))
|
~(~(c))
| 0 | 1 | 1 | 0 |
not entailment
|
~((c>~((((p|(r>o))&c)&((t>b)>y)))))
|
(u|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&r)
|
(y|(p&u))
| 1 | 0 | 0 | 0 |
entailment
|
(c&~((r|(b>(b>u)))))
|
(c>~(r))
| 1 | 1 | 1 | 0 |
entailment
|
(y&r)
|
(c>~(r))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&~((r|(b>(b>u)))))
|
(y|(p&u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((t|y)|u)|(y&p))&u))
|
((r>((c|b)|(y|b)))>(((p|p)&(t&u))>(y|b)))
| 1 | 0 | 0 | 0 |
entailment
|
(((c&u)&(c&t))&((r&(t&o))|(d&b)))
|
((~((~(o)>(c&(c|t))))>(y|p))|(t|(y|u)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((t|y)|u)|(y&p))&u))
|
((~((~(o)>(c&(c|t))))>(y|p))|(t|(y|u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c&u)&(c&t))&((r&(t&o))|(d&b)))
|
((r>((c|b)|(y|b)))>(((p|p)&(t&u))>(y|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t|u)|~(~(((b|p)&b)))))
|
~((u&r))
| 1 | 1 | 0 | 0 |
entailment
|
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