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 |
|---|---|---|---|---|---|---|
(h&l)
|
(k>l)
| 1 | 1 | 0 | 0 |
entailment
|
(~((j&((j>(j>h))|(l&n))))&t)
|
((j|j)>(k|t))
| 1 | 1 | 0 | 0 |
entailment
|
(h&l)
|
((j|j)>(k|t))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((j&((j>(j>h))|(l&n))))&t)
|
(k>l)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((b|e)|(b>v))&b)|o))
|
(b>u)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~((o&b)))>~((~((v|u))>i))))
|
(~(o)>(i|o))
| 1 | 1 | 1 | 1 |
entailment
|
~(((((b|e)|(b>v))&b)|o))
|
(~(o)>(i|o))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((o&b)))>~((~((v|u))>i))))
|
(b>u)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((b>e)|~((((u>o)|o)>u))))
|
((((e|b)&v)>u)&~(e))
| 1 | 1 | 0 | 0 |
entailment
|
((o&(i&b))&(o&v))
|
~(~((~(~(i))|i)))
| 1 | 0 | 1 | 1 |
entailment
|
~(((b>e)|~((((u>o)|o)>u))))
|
~(~((~(~(i))|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
((o&(i&b))&(o&v))
|
((((e|b)&v)>u)&~(e))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(b)&(v>v)))
|
((v&(~(e)|i))>(b&~(~((b|b)))))
| 1 | 0 | 0 | 0 |
entailment
|
((i&u)&(i&o))
|
((b&((i>o)|e))|((~(b)>u)>(x|o)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(b)&(v>v)))
|
((b&((i>o)|e))|((~(b)>u)>(x|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
((i&u)&(i&o))
|
((v&(~(e)|i))>(b&~(~((b|b)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b|((~(~(v))|~(e))|u)))
|
((v>(e|(b|(b|o))))|(i>b))
| 1 | 1 | 0 | 0 |
entailment
|
(i&(v&(x|x)))
|
(((i>b)&e)>((o>u)|x))
| 1 | 0 | 0 | 0 |
entailment
|
~((b|((~(~(v))|~(e))|u)))
|
(((i>b)&e)>((o>u)|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&(v&(x|x)))
|
((v>(e|(b|(b|o))))|(i>b))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((o>(i|((v&i)|(u|i)))))))
|
(~(i)|(o&~(i)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(e))
|
(~((e|(~(((u&(x|i))>u))>e)))|(i|e))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((o>(i|((v&i)|(u|i)))))))
|
(~((e|(~(((u&(x|i))>u))>e)))|(i|e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(e))
|
(~(i)|(o&~(i)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&e)|i)
|
(~(e)>(((v>i)>~(((i|~(x))&i)))>o))
| 1 | 0 | 0 | 0 |
entailment
|
~((x>e))
|
(~(~((o|x)))&((((e&(o&e))>u)>i)>x))
| 1 | 0 | 0 | 0 |
entailment
|
((e&e)|i)
|
(~(~((o|x)))&((((e&(o&e))>u)>i)>x))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x>e))
|
(~(e)>(((v>i)>~(((i|~(x))&i)))>o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((v&(b&e))))
|
((((b&b)|i)|u)|(b&(e&(v>x))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~((o|((x|e)>e)))>b))))
|
((((e>o)>b)>u)|~((b&o)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((v&(b&e))))
|
((((e>o)>b)>u)|~((b&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~((o|((x|e)>e)))>b))))
|
((((b&b)|i)|u)|(b&(e&(v>x))))
| 0 | 1 | 0 | 0 |
not entailment
|
(b>v)
|
((i>~(b))|v)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(x)|(b>u)))
|
((~(~(~((~(u)>i))))|v)>(x|u))
| 1 | 0 | 0 | 0 |
entailment
|
(b>v)
|
((~(~(~((~(u)>i))))|v)>(x|u))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(x)|(b>u)))
|
((i>~(b))|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((~(i)|b)|(x|(u&e))))&(i>i))
|
~(~(((x|v)|(e|~(~(((x|(x|b))>v)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~((u>~((b|e))))&(x|b))&(u&u))&~(x))
|
(u|(~(((b&v)|o))|~(~(((v&e)&(o|i))))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~(i)|b)|(x|(u&e))))&(i>i))
|
(u|(~(((b&v)|o))|~(~(((v&e)&(o|i))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((u>~((b|e))))&(x|b))&(u&u))&~(x))
|
~(~(((x|v)|(e|~(~(((x|(x|b))>v)))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i&(v&x))>e))
|
((i>~((((b|i)&i)&~(u))))>u)
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((v|i))&((i|b)|x))>(e>v)))
|
(e|o)
| 1 | 1 | 0 | 0 |
entailment
|
~(((i&(v&x))>e))
|
(e|o)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((v|i))&((i|b)|x))>(e>v)))
|
((i>~((((b|i)&i)&~(u))))>u)
| 0 | 1 | 0 | 0 |
not entailment
|
((x&o)|~((x>b)))
|
((e|b)>x)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((v|u))>e)>~(v)))
|
((e>v)|(i&~(u)))
| 1 | 1 | 0 | 0 |
entailment
|
((x&o)|~((x>b)))
|
((e>v)|(i&~(u)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((v|u))>e)>~(v)))
|
((e|b)>x)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((i>(o&v))>(b|(i|b)))&o))
|
((i>e)|(o>x))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((u>u)&(((i>b)&(b|b))&v))))
|
(x>(((x>i)|x)&v))
| 1 | 1 | 0 | 0 |
entailment
|
~((((i>(o&v))>(b|(i|b)))&o))
|
(x>(((x>i)|x)&v))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((u>u)&(((i>b)&(b|b))&v))))
|
((i>e)|(o>x))
| 0 | 1 | 0 | 0 |
not entailment
|
(((o&x)>~(v))&x)
|
((u|(i|(v|u)))|(~(~((((e&v)>o)>x)))|u))
| 1 | 0 | 0 | 0 |
entailment
|
((((v|i)&e)&(e>u))|o)
|
(o|((i&b)|(~(~(i))>e)))
| 1 | 0 | 0 | 0 |
entailment
|
(((o&x)>~(v))&x)
|
(o|((i&b)|(~(~(i))>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((v|i)&e)&(e>u))|o)
|
((u|(i|(v|u)))|(~(~((((e&v)>o)>x)))|u))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&o)&~(x))
|
(x>~(((v>i)>(i>i))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((o|(v>e)))))
|
(((o>v)&v)|(u&x))
| 1 | 1 | 0 | 0 |
entailment
|
((e&o)&~(x))
|
(((o>v)&v)|(u&x))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((o|(v>e)))))
|
(x>~(((v>i)>(i>i))))
| 0 | 1 | 0 | 0 |
not entailment
|
(x|x)
|
~(~((x|~((u&e)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((i>i)|b)&(o>(u&u)))
|
(((v&b)&(u>(u&o)))>((u&o)|(o>e)))
| 1 | 0 | 0 | 0 |
entailment
|
(x|x)
|
(((v&b)&(u>(u&o)))>((u&o)|(o>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((i>i)|b)&(o>(u&u)))
|
~(~((x|~((u&e)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((t|~(((t|t)&(t|((f&(f|t))>f)))))>t)
|
(((~(t)>((~(t)|f)>(t|t)))>f)>t)
| 1 | 1 | 1 | 1 |
entailment
|
((t&f)|f)
|
(f&f)
| 1 | 1 | 1 | 1 |
entailment
|
((t|~(((t|t)&(t|((f&(f|t))>f)))))>t)
|
(f&f)
| 0 | 1 | 1 | 1 |
not entailment
|
((t&f)|f)
|
(((~(t)>((~(t)|f)>(t|t)))>f)>t)
| 0 | 0 | 1 | 0 |
not entailment
|
~((((t>f)|(f&f))|(f|~(t))))
|
((f&(((f&t)|((t>(t&f))>f))&~((f&t))))>t)
| 1 | 0 | 1 | 0 |
entailment
|
~(~((~(((t|t)>(f|t)))|f)))
|
((f|(~(~(t))>~(t)))&((t&(t&f))>t))
| 1 | 0 | 1 | 1 |
entailment
|
~((((t>f)|(f&f))|(f|~(t))))
|
((f|(~(~(t))>~(t)))&((t&(t&f))>t))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((~(((t|t)>(f|t)))|f)))
|
((f&(((f&t)|((t>(t&f))>f))&~((f&t))))>t)
| 0 | 0 | 1 | 1 |
not entailment
|
~(~(f))
|
(f|f)
| 1 | 1 | 1 | 1 |
entailment
|
(t|t)
|
(f>(t&f))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(f))
|
(f>(t&f))
| 0 | 1 | 0 | 0 |
not entailment
|
(t|t)
|
(f|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&~((t&((t|t)|((f|f)>f)))))
|
((f&(f|t))&(f>(~(f)>f)))
| 1 | 1 | 1 | 0 |
entailment
|
((((t&t)&t)&t)&t)
|
~(~(~(~(t))))
| 1 | 1 | 1 | 1 |
entailment
|
(f&~((t&((t|t)|((f|f)>f)))))
|
~(~(~(~(t))))
| 0 | 1 | 1 | 0 |
not entailment
|
((((t&t)&t)&t)&t)
|
((f&(f|t))&(f>(~(f)>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((~((t|((t>(f|t))&f)))&f))>f)&t)
|
(~(~((f&f)))&(t|t))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((t|t)|(f&(f>f))))>t))
|
~((t&t))
| 1 | 1 | 1 | 1 |
entailment
|
((~((~((t|((t>(f|t))&f)))&f))>f)&t)
|
~((t&t))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(((t|t)|(f&(f>f))))>t))
|
(~(~((f&f)))&(t|t))
| 0 | 1 | 1 | 0 |
not entailment
|
(t|(t|f))
|
(f|(f|t))
| 1 | 1 | 1 | 1 |
entailment
|
(~((t|t))&~(((~(f)>f)|t)))
|
((f>(t&f))|t)
| 1 | 1 | 1 | 0 |
entailment
|
(t|(t|f))
|
((f>(t&f))|t)
| 0 | 0 | 1 | 0 |
not entailment
|
(~((t|t))&~(((~(f)>f)|t)))
|
(f|(f|t))
| 0 | 1 | 1 | 0 |
not entailment
|
(((f|t)|~(f))&((((f>f)|f)>t)&((f&t)|t)))
|
(f|t)
| 1 | 1 | 1 | 1 |
entailment
|
(f>~(f))
|
~((((t|f)|f)&(f&(f|t))))
| 1 | 0 | 0 | 0 |
entailment
|
(((f|t)|~(f))&((((f>f)|f)>t)&((f&t)|t)))
|
~((((t|f)|f)&(f&(f|t))))
| 0 | 1 | 1 | 0 |
not entailment
|
(f>~(f))
|
(f|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(((f|t)|f)&(((f|(f|f))&t)&(~(f)|t)))
|
(t>(f|f))
| 1 | 1 | 1 | 0 |
entailment
|
((t&(t>t))&((t&f)>~(f)))
|
~(~((f>~((f&(t&t))))))
| 1 | 1 | 1 | 1 |
entailment
|
(((f|t)|f)&(((f|(f|f))&t)&(~(f)|t)))
|
~(~((f>~((f&(t&t))))))
| 0 | 1 | 1 | 0 |
not entailment
|
((t&(t>t))&((t&f)>~(f)))
|
(t>(f|f))
| 0 | 1 | 1 | 0 |
not entailment
|
(t&t)
|
(((t&(f&f))|(f&(f|f)))>((f&t)&t))
| 1 | 0 | 0 | 0 |
entailment
|
~((f>t))
|
(~(~(~(f)))>(f&t))
| 1 | 0 | 1 | 0 |
entailment
|
(t&t)
|
(~(~(~(f)))>(f&t))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>t))
|
(((t&(f&f))|(f&(f|f)))>((f&t)&t))
| 0 | 0 | 1 | 0 |
not entailment
|
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