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 |
|---|---|---|---|---|---|---|
~(((f&i)|~((u&o))))
|
(((r>o)|(i>o))|(~((o>i))&(f|(y|u))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((f>(h>h)))|((o|v)&f))&((r|(j|o))>j))
|
((((o|r)|e)>(o>e))>(((u&~(r))>v)>f))
| 1 | 1 | 0 | 0 |
entailment
|
~(((f&i)|~((u&o))))
|
((((o|r)|e)>(o>e))>(((u&~(r))>v)>f))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((f>(h>h)))|((o|v)&f))&((r|(j|o))>j))
|
(((r>o)|(i>o))|(~((o>i))&(f|(y|u))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(((e>f)>~((i>j))))))&(e&~(o)))
|
(y>~(~(~(o))))
| 1 | 1 | 0 | 0 |
entailment
|
~((j|~(((f>f)|h))))
|
(j>~((j|(o>j))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(~(((e>f)>~((i>j))))))&(e&~(o)))
|
(j>~((j|(o>j))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((j|~(((f>f)|h))))
|
(y>~(~(~(o))))
| 0 | 1 | 0 | 0 |
not entailment
|
((f|f)&~((r|(f>j))))
|
(u>f)
| 1 | 1 | 0 | 0 |
entailment
|
((~((y|i))&(j&(j|y)))&((v|((f|j)>v))&r))
|
(~(y)&~((~(~(u))&i)))
| 1 | 1 | 0 | 0 |
entailment
|
((f|f)&~((r|(f>j))))
|
(~(y)&~((~(~(u))&i)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((y|i))&(j&(j|y)))&((v|((f|j)>v))&r))
|
(u>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((y>y)|u))|f)&(((r>v)|~(e))&(f>o)))
|
~(((o|u)>~((h|f))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((v|y))&~((e|i)))
|
((e>(o&y))|(r|r))
| 1 | 1 | 0 | 0 |
entailment
|
((~(((y>y)|u))|f)&(((r>v)|~(e))&(f>o)))
|
((e>(o&y))|(r|r))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((v|y))&~((e|i)))
|
~(((o|u)>~((h|f))))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(f>f))
|
((~(o)&v)>((f|u)|(i|((~(h)>(u&v))&r))))
| 1 | 0 | 0 | 0 |
entailment
|
((((~(~(((f|i)>h)))>(u&y))&u)|(y>f))>y)
|
((r>y)&y)
| 1 | 1 | 0 | 0 |
entailment
|
(f&(f>f))
|
((r>y)&y)
| 0 | 1 | 0 | 0 |
not entailment
|
((((~(~(((f|i)>h)))>(u&y))&u)|(y>f))>y)
|
((~(o)&v)>((f|u)|(i|((~(h)>(u&v))&r))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~((((u|e)|r)>h))>(o|~(f))))&(j&f))
|
((j&e)>(y|(((o&f)|(u&i))>f)))
| 1 | 1 | 0 | 0 |
entailment
|
(r&(e|(h>~(h))))
|
~(~((~(((y|(y|e))&(i|e)))>r)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((((u|e)|r)>h))>(o|~(f))))&(j&f))
|
~(~((~(((y|(y|e))&(i|e)))>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&(e|(h>~(h))))
|
((j&e)>(y|(((o&f)|(u&i))>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((v|~(f))&u)&h)&y)
|
(~(((y&u)|(f&~(~(o)))))>(i|(j|e)))
| 1 | 0 | 0 | 0 |
entailment
|
((v&(h|u))&~(((r&(v&((i>i)>r)))|f)))
|
(v&(((v&e)&(u>j))>(v|~(o))))
| 1 | 1 | 0 | 0 |
entailment
|
((((v|~(f))&u)&h)&y)
|
(v&(((v&e)&(u>j))>(v|~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
((v&(h|u))&~(((r&(v&((i>i)>r)))|f)))
|
(~(((y&u)|(f&~(~(o)))))>(i|(j|e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i>r)|~(y)))
|
(o|i)
| 1 | 1 | 0 | 0 |
entailment
|
((~(((((~(y)&r)&r)>f)&r))&v)&r)
|
~(~((y>v)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((i>r)|~(y)))
|
~(~((y>v)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((((~(y)&r)&r)>f)&r))&v)&r)
|
(o|i)
| 0 | 1 | 0 | 0 |
not entailment
|
(k|k)
|
(((a&a)>a)&(~(~(d))|k))
| 1 | 0 | 0 | 0 |
entailment
|
(a&(a|s))
|
(x>~(~(a)))
| 1 | 0 | 0 | 0 |
entailment
|
(k|k)
|
(x>~(~(a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&(a|s))
|
(((a&a)>a)&(~(~(d))|k))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&o)
|
(~(d)|((a>k)>k))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(d))
|
(o>(s>(o>d)))
| 1 | 0 | 0 | 0 |
entailment
|
(k&o)
|
(o>(s>(o>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(d))
|
(~(d)|((a>k)>k))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(~(o)&(x&~(o))))
|
~(~(((((k|(a>a))>(a>x))>x)|o)))
| 1 | 0 | 0 | 0 |
entailment
|
~(x)
|
~(~((k|(~(((o>x)&x))|o))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(~(o)&(x&~(o))))
|
~(~((k|(~(((o>x)&x))|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(x)
|
~(~(((((k|(a>a))>(a>x))>x)|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&s)
|
(~(~(~(s)))|o)
| 1 | 0 | 1 | 0 |
entailment
|
~(~((~(a)|(x&k))))
|
(((s&a)|a)>(x>k))
| 1 | 1 | 0 | 0 |
entailment
|
(o&s)
|
(((s&a)|a)>(x>k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(a)|(x&k))))
|
(~(~(~(s)))|o)
| 0 | 1 | 0 | 0 |
not entailment
|
((a&x)&a)
|
((o&(k&~(a)))>(k&(x&k)))
| 1 | 0 | 0 | 0 |
entailment
|
((((o|d)|~((a>k)))&~(x))&(s|(d&~(o))))
|
((~(s)&(~(d)|~((o|~(o)))))>o)
| 1 | 1 | 1 | 1 |
entailment
|
((a&x)&a)
|
((~(s)&(~(d)|~((o|~(o)))))>o)
| 0 | 0 | 0 | 0 |
not entailment
|
((((o|d)|~((a>k)))&~(x))&(s|(d&~(o))))
|
((o&(k&~(a)))>(k&(x&k)))
| 0 | 1 | 1 | 0 |
not entailment
|
(o&(~((x>(s&(s>x))))|(~(k)&(a&o))))
|
((x|((d&a)&(a&(o&d))))|o)
| 1 | 1 | 0 | 0 |
entailment
|
((s|(k&d))&((a|o)&d))
|
((s>d)&(d>(d>d)))
| 1 | 1 | 1 | 0 |
entailment
|
(o&(~((x>(s&(s>x))))|(~(k)&(a&o))))
|
((s>d)&(d>(d>d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|(k&d))&((a|o)&d))
|
((x|((d&a)&(a&(o&d))))|o)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(o)&~((d&~((~(k)>d))))))
|
(o|((x&x)&a))
| 1 | 1 | 0 | 0 |
entailment
|
(~((a>(s>k)))|(d&(~(x)>k)))
|
((a|(d|s))|x)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(o)&~((d&~((~(k)>d))))))
|
((a|(d|s))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((a>(s>k)))|(d&(~(x)>k)))
|
(o|((x&x)&a))
| 0 | 1 | 0 | 0 |
not entailment
|
(s&o)
|
(~((~(s)>x))|(o&s))
| 1 | 0 | 0 | 0 |
entailment
|
((d&x)&o)
|
~(~(((a>k)|(((k|k)|d)|k))))
| 1 | 0 | 0 | 0 |
entailment
|
(s&o)
|
~(~(((a>k)|(((k|k)|d)|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&x)&o)
|
(~((~(s)>x))|(o&s))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a>o)&(x&~(~((s>a)))))&d)
|
(s>(x|o))
| 1 | 1 | 1 | 1 |
entailment
|
(k>(~((a|k))&~(~((x>(o>d))))))
|
((k>k)>~((o&(~(~(((o|a)>a)))&k))))
| 1 | 0 | 1 | 0 |
entailment
|
(((a>o)&(x&~(~((s>a)))))&d)
|
((k>k)>~((o&(~(~(((o|a)>a)))&k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(k>(~((a|k))&~(~((x>(o>d))))))
|
(s>(x|o))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((x&d)))
|
((~(((k|o)&s))>o)>((o|a)|x))
| 1 | 0 | 0 | 0 |
entailment
|
~(((k>a)|(k>o)))
|
((a|o)>(o|k))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((x&d)))
|
((a|o)>(o|k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k>a)|(k>o)))
|
((~(((k|o)&s))>o)>((o|a)|x))
| 0 | 0 | 0 | 0 |
not entailment
|
((d>d)&~(~((o&k))))
|
(k|o)
| 1 | 1 | 1 | 1 |
entailment
|
~((d|(x&(s>(x|s)))))
|
((k&x)>~(x))
| 1 | 1 | 0 | 0 |
entailment
|
((d>d)&~(~((o&k))))
|
((k&x)>~(x))
| 0 | 1 | 0 | 0 |
not entailment
|
~((d|(x&(s>(x|s)))))
|
(k|o)
| 0 | 1 | 0 | 0 |
not entailment
|
~((o|k))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
(((s>x)|~(((o>o)&a)))&(x&x))
|
(((d&~(((d&d)|(o&x))))>x)>x)
| 1 | 1 | 0 | 0 |
entailment
|
~((o|k))
|
(((d&~(((d&d)|(o&x))))>x)>x)
| 0 | 0 | 0 | 0 |
not entailment
|
(((s>x)|~(((o>o)&a)))&(x&x))
|
~(k)
| 0 | 1 | 0 | 0 |
not entailment
|
((((x&a)|s)>d)>s)
|
(k|(a|s))
| 1 | 1 | 0 | 0 |
entailment
|
(k|(o|k))
|
(((o|k)|s)|(d|(s&(k>((k|d)&(k>(x>x)))))))
| 1 | 0 | 0 | 0 |
entailment
|
((((x&a)|s)>d)>s)
|
(((o|k)|s)|(d|(s&(k>((k|d)&(k>(x>x)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(k|(o|k))
|
(k|(a|s))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&((s|k)&x))
|
(o|x)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(k))>s))
|
((a&s)>((~((~(x)&s))>s)&~(((s|a)|a))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&((s|k)&x))
|
((a&s)>((~((~(x)&s))>s)&~(((s|a)|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(k))>s))
|
(o|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(((x&x)&k)&s)
|
(~(s)>(d&s))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((s>o)>d))&o)
|
~((d&(s|x)))
| 1 | 1 | 0 | 0 |
entailment
|
(((x&x)&k)&s)
|
~((d&(s|x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((s>o)>d))&o)
|
(~(s)>(d&s))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((d&(k|o)))>((~(d)&s)&(~((s>x))|d)))
|
((((~(k)>(k>o))&a)>((k&x)|d))|~(x))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((o&(k|a))&(a|((d&~(d))>o))))&(s|o))
|
(~(((a|a)&o))|d)
| 1 | 1 | 1 | 1 |
entailment
|
(~((d&(k|o)))>((~(d)&s)&(~((s>x))|d)))
|
(~(((a|a)&o))|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((o&(k|a))&(a|((d&~(d))>o))))&(s|o))
|
((((~(k)>(k>o))&a)>((k&x)|d))|~(x))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a&a)|~(~(~(~(d)))))&(o&k))
|
((s|((~((s&s))|s)&(k&(a&x))))>(k>o))
| 1 | 0 | 0 | 0 |
entailment
|
~(((a|((k>~(o))&d))>~(~(~(~(d))))))
|
(a|(s>~(o)))
| 1 | 1 | 0 | 0 |
entailment
|
(((a&a)|~(~(~(~(d)))))&(o&k))
|
(a|(s>~(o)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a|((k>~(o))&d))>~(~(~(~(d))))))
|
((s|((~((s&s))|s)&(k&(a&x))))>(k>o))
| 0 | 1 | 0 | 0 |
not entailment
|
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