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 |
|---|---|---|---|---|---|---|
(((~((e|i))>(z&z))&~(e))&i)
|
(((i&e)|(i>(e|(i|i))))>~(~((e|z))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(i)&e)
|
(i|e)
| 1 | 1 | 1 | 0 |
entailment
|
((e>~(i))&(z|z))
|
(((z|(i|i))|(z&(e|z)))|~(((z|e)|e)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(i)&e)
|
(((z|(i|i))|(z&(e|z)))|~(((z|e)|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e>~(i))&(z|z))
|
(i|e)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((i&e)|e)&(i&~(z)))>(e>(e&z))))
|
(i>e)
| 1 | 1 | 1 | 0 |
entailment
|
(z&(i&~(((e>(i|(z>e)))>(e&e)))))
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((i&e)|e)&(i&~(z)))>(e>(e&z))))
|
~(e)
| 0 | 1 | 1 | 1 |
not entailment
|
(z&(i&~(((e>(i|(z>e)))>(e&e)))))
|
(i>e)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(((i&e)&e)))&(z>~(i)))
|
((((i|e)&(e>i))>((e&e)|(z|z)))>i)
| 1 | 0 | 1 | 0 |
entailment
|
(~(e)&(e>e))
|
((~((i|e))|z)|(~(i)|~(((e&e)|z))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((i&e)&e)))&(z>~(i)))
|
((~((i|e))|z)|(~(i)|~(((e&e)|z))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(e)&(e>e))
|
((((i|e)&(e>i))>((e&e)|(z|z)))>i)
| 0 | 0 | 0 | 0 |
not entailment
|
(e|(i&e))
|
(e&((z&(z|~(i)))|(i>e)))
| 1 | 0 | 0 | 0 |
entailment
|
((((e&(i>i))|e)|(z>e))>~((e|e)))
|
(e>(i|~((z&z))))
| 1 | 1 | 1 | 0 |
entailment
|
(e|(i&e))
|
(e>(i|~((z&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((e&(i>i))|e)|(z>e))>~((e|e)))
|
(e&((z&(z|~(i)))|(i>e)))
| 0 | 1 | 1 | 0 |
not entailment
|
(e&e)
|
~(~(e))
| 1 | 0 | 1 | 1 |
entailment
|
((z|~(e))&~(z))
|
(e>~(((~(z)&e)&~(i))))
| 1 | 0 | 0 | 0 |
entailment
|
(e&e)
|
(e>~(((~(z)&e)&~(i))))
| 0 | 0 | 0 | 0 |
not entailment
|
((z|~(e))&~(z))
|
~(~(e))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((z|e)&((i|i)>z)))
|
(~((z&z))|(i|i))
| 1 | 1 | 1 | 1 |
entailment
|
~(((i>i)&((z&e)>i)))
|
((z|(e&z))&e)
| 1 | 1 | 1 | 1 |
entailment
|
~(((z|e)&((i|i)>z)))
|
((z|(e&z))&e)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((i>i)&((z&e)>i)))
|
(~((z&z))|(i|i))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((z|((z>i)&z))&(i|z)))
|
(~((i|i))|~((((i|i)&~((e>~(z))))&i)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(~((e>(z|e))))&~(~((z|z))))))
|
((i>z)&z)
| 1 | 1 | 0 | 0 |
entailment
|
~(((z|((z>i)&z))&(i|z)))
|
((i>z)&z)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((~(~((e>(z|e))))&~(~((z|z))))))
|
(~((i|i))|~((((i|i)&~((e>~(z))))&i)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((w>((f&u)&(o|u))))&((w|(s&f))&w))
|
((u>s)>((u&u)>(s&w)))
| 1 | 1 | 1 | 0 |
entailment
|
(s&(u&~((f&o))))
|
((s&o)|(u|~(o)))
| 1 | 1 | 1 | 0 |
entailment
|
(~((w>((f&u)&(o|u))))&((w|(s&f))&w))
|
((s&o)|(u|~(o)))
| 0 | 1 | 1 | 0 |
not entailment
|
(s&(u&~((f&o))))
|
((u>s)>((u&u)>(s&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((s&u)&s)|s)&(((s&u)&f)>(s&~(u))))
|
(s|~(u))
| 1 | 1 | 1 | 1 |
entailment
|
(~((o&s))&w)
|
(~(((w|o)>~((u|((w|u)|(u>f))))))|u)
| 1 | 0 | 0 | 0 |
entailment
|
((((s&u)&s)|s)&(((s&u)&f)>(s&~(u))))
|
(~(((w|o)>~((u|((w|u)|(u>f))))))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((o&s))&w)
|
(s|~(u))
| 0 | 1 | 0 | 0 |
not entailment
|
((u|(f|f))&~((~((w>w))|u)))
|
~(~((f&f)))
| 1 | 1 | 1 | 1 |
entailment
|
(s|w)
|
~(~((f&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((u|(f|f))&~((~((w>w))|u)))
|
(w|s)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(~(w))&(w&(f&(s&(s|(f>f))))))))
|
~(~(((f>w)>w)))
| 1 | 1 | 1 | 0 |
entailment
|
(((s>(u&w))|u)&~((s|(f|w))))
|
~((((s>f)|s)&((w&f)|f)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((~(~(w))&(w&(f&(s&(s|(f>f))))))))
|
~((((s>f)|s)&((w&f)|f)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((s>(u&w))|u)&~((s|(f|w))))
|
~(~(((f>w)>w)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((s&o)>((f&f)|(((s|s)>(s>s))&f))))
|
(((((((u>o)&s)&(s|f))|f)|u)>(o&(o&f)))|o)
| 1 | 0 | 0 | 0 |
entailment
|
((w|(f>w))&(~(o)&(w>s)))
|
(~(u)>(~(~(~(~(f))))|(o>u)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((s&o)>((f&f)|(((s|s)>(s>s))&f))))
|
(~(u)>(~(~(~(~(f))))|(o>u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((w|(f>w))&(~(o)&(w>s)))
|
(((((((u>o)&s)&(s|f))|f)|u)>(o&(o&f)))|o)
| 0 | 0 | 0 | 0 |
not entailment
|
(((f&(w|w))&s)&(((~(s)&u)&u)|f))
|
((~((o&~((w|f))))>(w&(u|s)))>s)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((u|f)>s)|w)&~((s&u))))
|
((o&w)>(u|~((~((f|(w>f)))|(w|o)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((f&(w|w))&s)&(((~(s)&u)&u)|f))
|
((o&w)>(u|~((~((f|(w>f)))|(w|o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((u|f)>s)|w)&~((s&u))))
|
((~((o&~((w|f))))>(w&(u|s)))>s)
| 0 | 0 | 0 | 0 |
not entailment
|
(u&((u&(u>w))&s))
|
(~(((w&f)>u))>((w&((w|f)>u))&f))
| 1 | 0 | 0 | 0 |
entailment
|
(s&~((~((o&(((u>w)&s)&f)))&~(f))))
|
(((o&f)|~(u))|((o&s)|f))
| 1 | 1 | 1 | 1 |
entailment
|
(u&((u&(u>w))&s))
|
(((o&f)|~(u))|((o&s)|f))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&~((~((o&(((u>w)&s)&f)))&~(f))))
|
(~(((w&f)>u))>((w&((w|f)>u))&f))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((s|(~(o)>o)))>~((w&(u|w))))
|
(((~(w)|o)|u)|s)
| 1 | 1 | 1 | 0 |
entailment
|
~((((s|f)|s)|(u&(o&o))))
|
((((s&u)|((o&~(w))&u))&(u&u))>((u&u)&s))
| 1 | 0 | 0 | 0 |
entailment
|
(~((s|(~(o)>o)))>~((w&(u|w))))
|
((((s&u)|((o&~(w))&u))&(u&u))>((u&u)&s))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((s|f)|s)|(u&(o&o))))
|
(((~(w)|o)|u)|s)
| 0 | 1 | 0 | 0 |
not entailment
|
((f&s)&(u>w))
|
(~(~((f&(f|~(f)))))|(w>(u>s)))
| 1 | 0 | 1 | 0 |
entailment
|
((u&(o&o))|(o&(s&w)))
|
~(~((o|(~((u&f))&~(((f&u)>(o|u)))))))
| 1 | 0 | 0 | 0 |
entailment
|
((f&s)&(u>w))
|
~(~((o|(~((u&f))&~(((f&u)>(o|u)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&(o&o))|(o&(s&w)))
|
(~(~((f&(f|~(f)))))|(w>(u>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((s>f)&(s&s))
|
((~(s)>(u|(o&f)))&f)
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(~(u))&w)))
|
(w|((u|u)|u))
| 1 | 1 | 1 | 1 |
entailment
|
((s>f)&(s&s))
|
(w|((u|u)|u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(~(u))&w)))
|
((~(s)>(u|(o&f)))&f)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((((w>f)>(u|f))|(((u|o)&w)|o))))
|
(~(((o|(u|s))|(f|w)))>u)
| 1 | 1 | 0 | 0 |
entailment
|
~(o)
|
((o|((w>u)|(o|o)))>~((((u>u)&f)&o)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((w>f)>(u|f))|(((u|o)&w)|o))))
|
((o|((w>u)|(o|o)))>~((((u>u)&f)&o)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(o)
|
(~(((o|(u|s))|(f|w)))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(n)>(o>s)))
|
((s&s)>(((n>s)|~((t|n)))>t))
| 1 | 0 | 0 | 0 |
entailment
|
~((z>~(d)))
|
(~(~(s))|(z|t))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(n)>(o>s)))
|
(~(~(s))|(z|t))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z>~(d)))
|
((s&s)>(((n>s)|~((t|n)))>t))
| 0 | 0 | 0 | 0 |
not entailment
|
((((z>z)|(l|(z|t)))&(d&t))&o)
|
((l>d)|~((n>((z>r)&t))))
| 1 | 1 | 0 | 0 |
entailment
|
(l&(d|((~(d)>d)>z)))
|
((~((z>l))&d)>(~((r&((l>d)>t)))&n))
| 1 | 0 | 0 | 0 |
entailment
|
((((z>z)|(l|(z|t)))&(d&t))&o)
|
((~((z>l))&d)>(~((r&((l>d)>t)))&n))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&(d|((~(d)>d)>z)))
|
((l>d)|~((n>((z>r)&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((z>l)|l)|(s|r)))
|
~((s&~(d)))
| 1 | 1 | 0 | 0 |
entailment
|
((t&r)&((r>o)|t))
|
(s|r)
| 1 | 1 | 0 | 0 |
entailment
|
~((((z>l)|l)|(s|r)))
|
(s|r)
| 0 | 1 | 1 | 0 |
not entailment
|
((t&r)&((r>o)|t))
|
~((s&~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((t>l))
|
(~(s)|t)
| 1 | 1 | 0 | 0 |
entailment
|
((~((z&l))|((s&(d>l))|n))&s)
|
(s|~((((t&d)&r)|t)))
| 1 | 1 | 0 | 0 |
entailment
|
~((t>l))
|
(s|~((((t&d)&r)|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((z&l))|((s&(d>l))|n))&s)
|
(~(s)|t)
| 0 | 1 | 0 | 0 |
not entailment
|
((n&(l&o))&(t>~(~((~(t)&l)))))
|
((t&(o|l))>~(s))
| 1 | 1 | 0 | 0 |
entailment
|
~(((r|n)|(z|~(~((l|(d|z)))))))
|
(~(z)>((s>(s&~((l&z))))&~(r)))
| 1 | 1 | 0 | 0 |
entailment
|
((n&(l&o))&(t>~(~((~(t)&l)))))
|
(~(z)>((s>(s&~((l&z))))&~(r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r|n)|(z|~(~((l|(d|z)))))))
|
((t&(o|l))>~(s))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&r)
|
((t|l)|((n|((o>t)&t))&t))
| 1 | 0 | 0 | 0 |
entailment
|
(d&o)
|
(o|n)
| 1 | 1 | 0 | 0 |
entailment
|
(l&r)
|
(o|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&o)
|
((t|l)|((n|((o>t)&t))&t))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&o)&((z>d)>~((t>d))))
|
((r|~((o>(s&r))))&(z>(z&t)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)>s)
|
(d|s)
| 1 | 1 | 1 | 1 |
entailment
|
((t&o)&((z>d)>~((t>d))))
|
(d|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(d)>s)
|
((r|~((o>(s&r))))&(z>(z&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
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