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 |
|---|---|---|---|---|---|---|
~((((j>j)>u)|(~(c)>p)))
|
(~((p>~(i)))>~(((u>(m>w))>j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((w&m)>u))
|
(~((p>~(i)))>~(((u>(m>w))>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((j>j)>u)|(~(c)>p)))
|
(((~(((~(j)>i)>m))|m)|j)|w)
| 0 | 0 | 0 | 0 |
not entailment
|
~((e>(m>~(w))))
|
(w>((u&j)>e))
| 1 | 1 | 0 | 0 |
entailment
|
(i&(~(j)>~(j)))
|
(j|(i|(~((g>(~((m>e))&m)))>(i&w))))
| 1 | 0 | 0 | 0 |
entailment
|
~((e>(m>~(w))))
|
(j|(i|(~((g>(~((m>e))&m)))>(i&w))))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(~(j)>~(j)))
|
(w>((u&j)>e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((j>(j&j))>j)))
|
((j|((j>j)&(j|((c|((c&j)&c))&c))))|(j&c))
| 1 | 0 | 0 | 0 |
entailment
|
((j>c)&~((c&j)))
|
(~((c&(j|c)))>~((c|j)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(((j>(j&j))>j)))
|
(~((c&(j|c)))>~((c|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((j>c)&~((c&j)))
|
((j|((j>j)&(j|((c|((c&j)&c))&c))))|(j&c))
| 0 | 0 | 1 | 0 |
not entailment
|
((j|(c&j))|(c|j))
|
(j|c)
| 1 | 1 | 1 | 1 |
entailment
|
(((j>(j>c))&c)>j)
|
~(~(((((~(c)|j)|j)&(c>c))|(j|j))))
| 1 | 0 | 1 | 0 |
entailment
|
((j|(c&j))|(c|j))
|
~(~(((((~(c)|j)|j)&(c>c))|(j|j))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((j>(j>c))&c)>j)
|
(j|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(c)&~((j>((((c>c)>c)>j)&~(j)))))
|
~(c)
| 1 | 1 | 1 | 1 |
entailment
|
(((j|(~((c|j))>c))>(c&j))&~((j>~(j))))
|
~(~((c&(c&j))))
| 1 | 1 | 1 | 1 |
entailment
|
(~(c)&~((j>((((c>c)>c)>j)&~(j)))))
|
~(~((c&(c&j))))
| 0 | 1 | 1 | 1 |
not entailment
|
(((j|(~((c|j))>c))>(c&j))&~((j>~(j))))
|
~(c)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((j&(j|j))|c))
|
~(((c|(~(((c|c)&(c&j)))&j))&((j|j)&j)))
| 1 | 0 | 1 | 0 |
entailment
|
((c&(c&~(~(c))))&(c&c))
|
(((c|~(c))|c)>((c&c)|j))
| 1 | 1 | 0 | 0 |
entailment
|
~(((j&(j|j))|c))
|
(((c|~(c))|c)>((c&c)|j))
| 0 | 0 | 1 | 0 |
not entailment
|
((c&(c&~(~(c))))&(c&c))
|
~(((c|(~(((c|c)&(c&j)))&j))&((j|j)&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((c|j))|(j&(c|j)))
|
((j|c)>(j|((j&(c|j))&((j&j)|((c&c)&c)))))
| 1 | 0 | 1 | 1 |
entailment
|
(~((j|c))|~(j))
|
((~(c)|j)>(~(c)&~(((j&c)|j))))
| 1 | 0 | 1 | 0 |
entailment
|
(~((c|j))|(j&(c|j)))
|
((~(c)|j)>(~(c)&~(((j&c)|j))))
| 0 | 0 | 1 | 1 |
not entailment
|
(~((j|c))|~(j))
|
((j|c)>(j|((j&(c|j))&((j&j)|((c&c)&c)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((j|c)|~(((~(j)|c)|(j>~((j&j))))))>j)
|
(j|~(~(~(c))))
| 1 | 1 | 1 | 1 |
entailment
|
(c&(c>(c|j)))
|
((((c&(j>c))&j)>((c>j)&(j|c)))>((c>j)>c))
| 1 | 0 | 1 | 0 |
entailment
|
(((j|c)|~(((~(j)|c)|(j>~((j&j))))))>j)
|
((((c&(j>c))&j)>((c>j)&(j|c)))>((c>j)>c))
| 0 | 1 | 1 | 1 |
not entailment
|
(c&(c>(c|j)))
|
(j|~(~(~(c))))
| 0 | 0 | 1 | 1 |
not entailment
|
((c|j)&j)
|
((~(j)>(j|j))|c)
| 1 | 0 | 1 | 1 |
entailment
|
((c|((j|j)|c))>~(((j&~(c))|c)))
|
(j>c)
| 1 | 1 | 1 | 1 |
entailment
|
((c|j)&j)
|
(j>c)
| 0 | 1 | 1 | 0 |
not entailment
|
((c|((j|j)|c))>~(((j&~(c))|c)))
|
((~(j)>(j|j))|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(c|(((j&j)>(j|j))>c))
|
((c|(((c|c)>j)>(j|c)))&(~(j)|j))
| 1 | 0 | 1 | 1 |
entailment
|
~(c)
|
(~((c>j))>j)
| 1 | 0 | 0 | 0 |
entailment
|
(c|(((j&j)>(j|j))>c))
|
(~((c>j))>j)
| 0 | 1 | 1 | 0 |
not entailment
|
~(c)
|
((c|(((c|c)>j)>(j|c)))&(~(j)|j))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j&(~((j>j))>j)))
|
((c>c)>~(j))
| 1 | 1 | 0 | 0 |
entailment
|
(j&(c|c))
|
((~(j)|(((c&j)>(j|j))|j))>c)
| 1 | 0 | 1 | 0 |
entailment
|
~((j&(~((j>j))>j)))
|
((~(j)|(((c&j)>(j|j))|j))>c)
| 0 | 0 | 0 | 0 |
not entailment
|
(j&(c|c))
|
((c>c)>~(j))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(c)|(~(j)&c))
|
~((((c&c)&((j>j)&j))&(~(c)|c)))
| 1 | 0 | 1 | 0 |
entailment
|
(((j|c)|(j>c))&j)
|
~((c&~(j)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(c)|(~(j)&c))
|
~((c&~(j)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((j|c)|(j>c))&j)
|
~((((c&c)&((j>j)&j))&(~(c)|c)))
| 0 | 0 | 1 | 0 |
not entailment
|
((o|(o&o))&(~(~(o))&o))
|
(o|((~(o)&o)|~(~(o))))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((o>~(~(((o|~(o))>~((o|o))))))))
|
((o>~((o|o)))|(o&~(o)))
| 1 | 1 | 1 | 1 |
entailment
|
((o|(o&o))&(~(~(o))&o))
|
((o>~((o|o)))|(o&~(o)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((o>~(~(((o|~(o))>~((o|o))))))))
|
(o|((~(o)&o)|~(~(o))))
| 0 | 1 | 1 | 1 |
not entailment
|
((o|o)&(o>o))
|
(o&o)
| 1 | 1 | 1 | 1 |
entailment
|
(~((((o|o)>o)>(~(o)&o)))>~((o&(o&o))))
|
~(~(((o&o)>(((o&o)|o)&(o>~((o&o)))))))
| 1 | 1 | 1 | 1 |
entailment
|
((o|o)&(o>o))
|
~(~(((o&o)>(((o&o)|o)&(o>~((o&o)))))))
| 0 | 0 | 1 | 1 |
not entailment
|
(~((((o|o)>o)>(~(o)&o)))>~((o&(o&o))))
|
(o&o)
| 0 | 1 | 1 | 1 |
not entailment
|
((((o|o)|~((o|o)))|o)>(o|(o|(o&o))))
|
(~(o)>o)
| 1 | 1 | 1 | 1 |
entailment
|
((((~(o)&(o>o))|(o>o))&o)>(o&~(o)))
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
((((o|o)|~((o|o)))|o)>(o|(o|(o&o))))
|
~(o)
| 0 | 1 | 1 | 1 |
not entailment
|
((((~(o)&(o>o))|(o>o))&o)>(o&~(o)))
|
(~(o)>o)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(d)>((~(~(a))&a)|(a|~(o)))))
|
((a>((g|~(a))&d))>~(a))
| 1 | 1 | 0 | 0 |
entailment
|
(((j|d)&~(~((y>((j>n)&(o&y))))))&y)
|
(y|j)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(d)>((~(~(a))&a)|(a|~(o)))))
|
(y|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(((j|d)&~(~((y>((j>n)&(o&y))))))&y)
|
((a>((g|~(a))&d))>~(a))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((~((j>y))&d)&(o|a))))
|
(~(((o&o)>(j&((((a>o)>o)|y)|y))))>y)
| 1 | 0 | 1 | 0 |
entailment
|
(((d&(~(a)&a))>((g&n)>n))&(a|(a&g)))
|
(((((n|(g&g))>n)>(j>(n&o)))>(d&g))>a)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((~((j>y))&d)&(o|a))))
|
(((((n|(g&g))>n)>(j>(n&o)))>(d&g))>a)
| 0 | 0 | 0 | 0 |
not entailment
|
(((d&(~(a)&a))>((g&n)>n))&(a|(a&g)))
|
(~(((o&o)>(j&((((a>o)>o)|y)|y))))>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((d|(~(~((a|n)))>(g>(j>(o|d))))))
|
~((~(((g>a)&n))&o))
| 1 | 1 | 1 | 0 |
entailment
|
((~((a|n))&(g>d))&(((g|g)&o)&~((y|a))))
|
(((a|g)&(j>((a|n)&g)))>((a>(a|d))>o))
| 1 | 1 | 0 | 0 |
entailment
|
~((d|(~(~((a|n)))>(g>(j>(o|d))))))
|
(((a|g)&(j>((a|n)&g)))>((a>(a|d))>o))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((a|n))&(g>d))&(((g|g)&o)&~((y|a))))
|
~((~(((g>a)&n))&o))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((~(d)&d))&(j|((a>~(n))>a)))&y)
|
(((d>y)>(g|d))|y)
| 1 | 1 | 0 | 0 |
entailment
|
(((j&~(y))|~(((j&(o|o))>o)))&j)
|
(~(~(j))|(((~((d&(g>g)))|d)>d)&j))
| 1 | 0 | 0 | 0 |
entailment
|
((~((~(d)&d))&(j|((a>~(n))>a)))&y)
|
(~(~(j))|(((~((d&(g>g)))|d)>d)&j))
| 0 | 1 | 0 | 0 |
not entailment
|
(((j&~(y))|~(((j&(o|o))>o)))&j)
|
(((d>y)>(g|d))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
((d&j)&((y>n)>y))
|
(((y|a)>~((g>(d>y))))>(y|j))
| 1 | 0 | 0 | 0 |
entailment
|
((((a>n)&o)|(~((((o|y)|j)&g))&g))&a)
|
((d|((y>~(a))>g))>a)
| 1 | 1 | 0 | 0 |
entailment
|
((d&j)&((y>n)>y))
|
((d|((y>~(a))>g))>a)
| 0 | 0 | 0 | 0 |
not entailment
|
((((a>n)&o)|(~((((o|y)|j)&g))&g))&a)
|
(((y|a)>~((g>(d>y))))>(y|j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(j)&~(j))|(o&y)))
|
((((j|g)|(d|n))&g)>j)
| 1 | 1 | 0 | 0 |
entailment
|
~((a>~(d)))
|
~((((g>d)>~(a))&j))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(j)&~(j))|(o&y)))
|
~((((g>d)>~(a))&j))
| 0 | 1 | 0 | 0 |
not entailment
|
~((a>~(d)))
|
((((j|g)|(d|n))&g)>j)
| 0 | 0 | 0 | 0 |
not entailment
|
(j&d)
|
(j|~(((((j>d)>j)>y)&(o>o))))
| 1 | 0 | 0 | 0 |
entailment
|
~(g)
|
(~((g>o))>~(y))
| 1 | 0 | 0 | 0 |
entailment
|
(j&d)
|
(~((g>o))>~(y))
| 0 | 0 | 0 | 0 |
not entailment
|
~(g)
|
(j|~(((((j>d)>j)>y)&(o>o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j>a)|~(((g>j)|(~(y)|~((y|n)))))))
|
(j|(j&(d>d)))
| 1 | 1 | 0 | 0 |
entailment
|
((n>(n>g))&(n|d))
|
((a|n)|(d|n))
| 1 | 1 | 0 | 0 |
entailment
|
~(((j>a)|~(((g>j)|(~(y)|~((y|n)))))))
|
((a|n)|(d|n))
| 0 | 1 | 0 | 0 |
not entailment
|
((n>(n>g))&(n|d))
|
(j|(j&(d>d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a&o)&~(a))|d)
|
((g&g)>(a>(d|((d&a)|o))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)&(a&n))
|
(((~(a)&a)|(a|g))|(g|j))
| 1 | 0 | 0 | 0 |
entailment
|
(((a&o)&~(a))|d)
|
(((~(a)&a)|(a|g))|(g|j))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&(a&n))
|
((g&g)>(a>(d|((d&a)|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((n|j))
|
~(((n|n)&y))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(g))|(n>a)))
|
(o>~(g))
| 1 | 1 | 0 | 0 |
entailment
|
~((n|j))
|
(o>~(g))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(g))|(n>a)))
|
~(((n|n)&y))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((o>g)&g)))
|
((a&~(j))|g)
| 1 | 1 | 0 | 0 |
entailment
|
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