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&(j|j))
|
((~((d&d))|((n&j)&j))>(((j>x)>~(x))|j))
| 1 | 0 | 0 | 0 |
entailment
|
(((d|d)>x)&(~((j|j))&x))
|
((~((d&d))|((n&j)&j))>(((j>x)>~(x))|j))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&(j|j))
|
((~(x)|(n>j))>~(n))
| 0 | 0 | 0 | 0 |
not entailment
|
((d|(x&j))&~((x&~((~((x|x))|(d|x))))))
|
(d|(n>(x|j)))
| 1 | 1 | 0 | 0 |
entailment
|
((((n>j)>~(j))|j)>n)
|
((n&n)&n)
| 1 | 1 | 1 | 1 |
entailment
|
((d|(x&j))&~((x&~((~((x|x))|(d|x))))))
|
((n&n)&n)
| 0 | 1 | 0 | 0 |
not entailment
|
((((n>j)>~(j))|j)>n)
|
(d|(n>(x|j)))
| 0 | 1 | 0 | 0 |
not entailment
|
((d|x)&((d&d)|d))
|
(((x&n)|d)|(n&d))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(n)>d))&(d>j))
|
(((~(((d&n)>j))|x)|~(d))|(d>x))
| 1 | 0 | 0 | 0 |
entailment
|
((d|x)&((d&d)|d))
|
(((~(((d&n)>j))|x)|~(d))|(d>x))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(n)>d))&(d>j))
|
(((x&n)|d)|(n&d))
| 0 | 1 | 0 | 0 |
not entailment
|
((((x>x)>d)>(x&(d&d)))>j)
|
(((n>j)&d)|~((~((((j|x)&n)|j))&x)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d>(j&d))&j))
|
~((((j>x)|(j>x))&j))
| 1 | 0 | 0 | 0 |
entailment
|
((((x>x)>d)>(x&(d&d)))>j)
|
~((((j>x)|(j>x))&j))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((d>(j&d))&j))
|
(((n>j)&d)|~((~((((j|x)&n)|j))&x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(((n&d)>~((x&n)))))>j)&(j|(d>j)))
|
((d|(x&x))>(x>(d>j)))
| 1 | 1 | 1 | 0 |
entailment
|
(~((j&(~(j)>j)))&(~(j)>x))
|
(~(((j&n)&j))>x)
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(((n&d)>~((x&n)))))>j)&(j|(d>j)))
|
(~(((j&n)&j))>x)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((j&(~(j)>j)))&(~(j)>x))
|
((d|(x&x))>(x>(d>j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(j)&~(((x&(n|j))|d)))
|
(j>(j&~(n)))
| 1 | 1 | 1 | 0 |
entailment
|
(x&((n>n)>(j|~(x))))
|
(j&(d>d))
| 1 | 1 | 0 | 0 |
entailment
|
(~(j)&~(((x&(n|j))|d)))
|
(j&(d>d))
| 0 | 1 | 1 | 0 |
not entailment
|
(x&((n>n)>(j|~(x))))
|
(j>(j&~(n)))
| 0 | 1 | 1 | 0 |
not entailment
|
(n&x)
|
((d|j)>x)
| 1 | 0 | 0 | 0 |
entailment
|
(j>~(j))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
(n&x)
|
~(j)
| 0 | 1 | 0 | 0 |
not entailment
|
(j>~(j))
|
((d|j)>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(((x>d)>~(j))&(j|j))
|
((((((((x>d)|x)&n)|n)&x)&n)&j)|(j|d))
| 1 | 0 | 0 | 0 |
entailment
|
((((n&j)>x)|n)&(n&x))
|
(j>n)
| 1 | 1 | 1 | 1 |
entailment
|
(((x>d)>~(j))&(j|j))
|
(j>n)
| 0 | 1 | 0 | 0 |
not entailment
|
((((n&j)>x)|n)&(n&x))
|
((((((((x>d)|x)&n)|n)&x)&n)&j)|(j|d))
| 0 | 0 | 0 | 0 |
not entailment
|
((j>(~(~(j))&n))&(x>(n|n)))
|
((j|n)|(((x>j)>((n&j)&x))>n))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((x&~(((d>x)|j))))&n))
|
~((~((n>x))&~((d|~(j)))))
| 1 | 1 | 1 | 1 |
entailment
|
((j>(~(~(j))&n))&(x>(n|n)))
|
~((~((n>x))&~((d|~(j)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((x&~(((d>x)|j))))&n))
|
((j|n)|(((x>j)>((n&j)&x))>n))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((n&(j>x))|(d>x))>~(n)))
|
(x|n)
| 1 | 1 | 1 | 1 |
entailment
|
((j&j)&((x>d)|j))
|
(d|(~(~((n>n)))>(j&(n>(n&(n&n))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((n&(j>x))|(d>x))>~(n)))
|
(d|(~(~((n>n)))>(j&(n>(n&(n&n))))))
| 0 | 0 | 1 | 0 |
not entailment
|
((j&j)&((x>d)|j))
|
(x|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(n|(j|j)))
|
((d>~((j>d)))|((~(n)|j)>((d&j)&j)))
| 1 | 0 | 1 | 0 |
entailment
|
~((x&x))
|
((x|~((((n&x)>(x&j))|((n|j)|j))))>~(n))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(n|(j|j)))
|
((x|~((((n&x)>(x&j))|((n|j)|j))))>~(n))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x&x))
|
((d>~((j>d)))|((~(n)|j)>((d&j)&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((n|d)>((x&~(x))>j))&(n>(j|j))))
|
((d>n)&n)
| 1 | 1 | 1 | 0 |
entailment
|
(~((~((j>n))|j))&x)
|
(~(d)|x)
| 1 | 1 | 0 | 0 |
entailment
|
~((((n|d)>((x&~(x))>j))&(n>(j|j))))
|
(~(d)|x)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~((j>n))|j))&x)
|
((d>n)&n)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((n>d))&j)
|
((j|x)&(n>((((n|((x>j)|x))>x)|x)|~(x))))
| 1 | 0 | 0 | 0 |
entailment
|
~(x)
|
(~(((~(~(~(j)))|x)&j))|(d&d))
| 1 | 0 | 0 | 0 |
entailment
|
(~((n>d))&j)
|
(~(((~(~(~(j)))|x)&j))|(d&d))
| 0 | 0 | 0 | 0 |
not entailment
|
~(x)
|
((j|x)&(n>((((n|((x>j)|x))>x)|x)|~(x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((~(d)|~(~(j))))>n))
|
~(n)
| 1 | 1 | 1 | 1 |
entailment
|
(((~(d)>(d>~(n)))|j)>~(((x&n)>j)))
|
(n&(d>x))
| 1 | 1 | 1 | 1 |
entailment
|
~((~((~(d)|~(~(j))))>n))
|
(n&(d>x))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(d)>(d>~(n)))|j)>~(((x&n)>j)))
|
~(n)
| 0 | 1 | 1 | 0 |
not entailment
|
(o&~(y))
|
(~(~(n))>(o|c))
| 1 | 0 | 0 | 0 |
entailment
|
(t&t)
|
(t|(~(o)&n))
| 1 | 0 | 0 | 0 |
entailment
|
(o&~(y))
|
(t|(~(o)&n))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&t)
|
(~(~(n))>(o|c))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c|~(o))|~(~(o)))&((o&n)&(o>t)))
|
(~(~((t&t)))|i)
| 1 | 1 | 0 | 0 |
entailment
|
(~((i&(~(y)>y)))&e)
|
~(~((e|~(o))))
| 1 | 1 | 0 | 0 |
entailment
|
(((c|~(o))|~(~(o)))&((o&n)&(o>t)))
|
~(~((e|~(o))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i&(~(y)>y)))&e)
|
(~(~((t&t)))|i)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((p&o)&~((~(((o>y)|p))|c)))))
|
(~((t|c))|t)
| 1 | 1 | 0 | 0 |
entailment
|
~((c>(e>(o&y))))
|
((k>t)|(o>(((i&e)>y)>~(y))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((p&o)&~((~(((o>y)|p))|c)))))
|
((k>t)|(o>(((i&e)>y)>~(y))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((c>(e>(o&y))))
|
(~((t|c))|t)
| 0 | 1 | 0 | 0 |
not entailment
|
((t>e)&(((p&n)>y)&t))
|
((o&~(y))|(t&e))
| 1 | 1 | 0 | 0 |
entailment
|
(i&~((~((t>(y&e)))&(e>(p|((o&e)&k))))))
|
~((~(((k&t)>~(~(i))))&~((i&c))))
| 1 | 1 | 0 | 0 |
entailment
|
((t>e)&(((p&n)>y)&t))
|
~((~(((k&t)>~(~(i))))&~((i&c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&~((~((t>(y&e)))&(e>(p|((o&e)&k))))))
|
((o&~(y))|(t&e))
| 0 | 1 | 1 | 0 |
not entailment
|
((n|y)&((~(((n&e)|(o>n)))|o)&c))
|
((k>n)>c)
| 1 | 1 | 0 | 0 |
entailment
|
(k&y)
|
(~(~((((y>i)&(e&i))&(y&y))))>k)
| 1 | 0 | 0 | 0 |
entailment
|
((n|y)&((~(((n&e)|(o>n)))|o)&c))
|
(~(~((((y>i)&(e&i))&(y&y))))>k)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&y)
|
((k>n)>c)
| 0 | 0 | 0 | 0 |
not entailment
|
(o&~((c>i)))
|
~(~(o))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~((t&(p>t)))>(c|(t|y)))|((k>c)>o)))
|
(t>~((n|y)))
| 1 | 1 | 0 | 0 |
entailment
|
(o&~((c>i)))
|
(t>~((n|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((t&(p>t)))>(c|(t|y)))|((k>c)>o)))
|
~(~(o))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(e)>o)
|
((o|~(t))|((e|~(~((n&n))))|c))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(y)))
|
((n>n)&(~(y)|n))
| 1 | 0 | 0 | 0 |
entailment
|
(~(e)>o)
|
((n>n)&(~(y)|n))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(y)))
|
((o|~(t))|((e|~(~((n&n))))|c))
| 0 | 0 | 0 | 0 |
not entailment
|
((o>((~(k)|c)>k))>~((o|k)))
|
((e&(k|k))|~((~(y)&k)))
| 1 | 1 | 0 | 0 |
entailment
|
(i&~((((c>c)|(k>c))>(n|(o|y)))))
|
(t>i)
| 1 | 1 | 0 | 0 |
entailment
|
((o>((~(k)|c)>k))>~((o|k)))
|
(t>i)
| 0 | 1 | 0 | 0 |
not entailment
|
(i&~((((c>c)|(k>c))>(n|(o|y)))))
|
((e&(k|k))|~((~(y)&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((y&p)&o)|(i>k)))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
~(((k&t)>((~(o)&~(i))>e)))
|
(i>n)
| 1 | 1 | 0 | 0 |
entailment
|
~((((y&p)&o)|(i>k)))
|
(i>n)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k&t)>((~(o)&~(i))>e)))
|
~(k)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((c|c)|(~((((o&p)|(i>k))|k))&(i|p))))
|
~(((p|p)&c))
| 1 | 1 | 1 | 1 |
entailment
|
(~((i&~((y|t))))&(t&y))
|
(p>y)
| 1 | 1 | 0 | 0 |
entailment
|
~(((c|c)|(~((((o&p)|(i>k))|k))&(i|p))))
|
(p>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i&~((y|t))))&(t&y))
|
~(((p|p)&c))
| 0 | 1 | 0 | 0 |
not entailment
|
((o&y)&~(p))
|
((~((p&(e|o)))&~(~((p>o))))|~(n))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(e))
|
(n|e)
| 1 | 1 | 0 | 0 |
entailment
|
((o&y)&~(p))
|
(n|e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(e))
|
((~((p&(e|o)))&~(~((p>o))))|~(n))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((t|(i&p))))
|
((~(t)>(n>(k|((e|o)&o))))|p)
| 1 | 0 | 0 | 0 |
entailment
|
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