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>(~(t)|h))>(h>((h|t)&t)))&((t&t)|h))
|
(((h&(t|h))>h)&h)
| 0 | 1 | 1 | 0 |
not entailment
|
(h|h)
|
((t|t)&t)
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(~((h>h))>(h&t)))
|
((t>t)>t)
| 1 | 1 | 1 | 0 |
entailment
|
((~(h)&h)|h)
|
((h&h)&(t|~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(~((h>h))>(h&t)))
|
((h&h)&(t|~(t)))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(h)&h)|h)
|
((t>t)>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((t>((h>h)>(t>~(h)))))))
|
(~(~((t|h)))>((t|(h>~(t)))&~(~(h))))
| 1 | 0 | 1 | 0 |
entailment
|
(~((t>(t&~((t&h)))))>~(~(~(h))))
|
((h&h)>~(t))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((t>((h>h)>(t>~(h)))))))
|
((h&h)>~(t))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((t>(t&~((t&h)))))>~(~(~(h))))
|
(~(~((t|h)))>((t|(h>~(t)))&~(~(h))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(h)
|
((h&t)>(~((t&h))&~((h|(~(t)&h)))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&h)
|
((h&t)>(~((t&h))&~((h|(~(t)&h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(h)
|
(h&t)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((h|h))|h)>(((h>h)>~(h))&t))|t)
|
(t&t)
| 1 | 1 | 1 | 1 |
entailment
|
(h|(h&h))
|
(((t|((h&h)&t))>t)&h)
| 1 | 0 | 0 | 0 |
entailment
|
(((~((h|h))|h)>(((h>h)>~(h))&t))|t)
|
(((t|((h&h)&t))>t)&h)
| 0 | 1 | 1 | 0 |
not entailment
|
(h|(h&h))
|
(t&t)
| 0 | 1 | 0 | 0 |
not entailment
|
~((h>t))
|
(~(~(h))|(t|((h&h)|t)))
| 1 | 0 | 1 | 0 |
entailment
|
~((h>t))
|
(h>t)
| 0 | 1 | 1 | 0 |
not entailment
|
~(h)
|
(~(~(h))|(t|((h&h)|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h|((t>h)&h))
|
~((h>~((~(((h|t)|h))|h))))
| 1 | 0 | 1 | 0 |
entailment
|
(t|(t&(h|(t>(h>h)))))
|
(((h>(h&t))|t)&(t>t))
| 1 | 1 | 1 | 1 |
entailment
|
(h|((t>h)&h))
|
(((h>(h&t))|t)&(t>t))
| 0 | 0 | 1 | 0 |
not entailment
|
(t|(t&(h|(t>(h>h)))))
|
~((h>~((~(((h|t)|h))|h))))
| 0 | 0 | 1 | 1 |
not entailment
|
(h|(t|(t|t)))
|
(~(~((~(t)|h)))>h)
| 1 | 0 | 1 | 0 |
entailment
|
(h|(t|(t|t)))
|
(h>t)
| 0 | 1 | 1 | 0 |
not entailment
|
~(h)
|
(~(~((~(t)|h)))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((t|h)>t))>(t|h))&t)
|
(t|h)
| 1 | 1 | 1 | 1 |
entailment
|
~((h|t))
|
~((~(~(h))|t))
| 1 | 0 | 1 | 1 |
entailment
|
((~(((t|h)>t))>(t|h))&t)
|
~((~(~(h))|t))
| 0 | 1 | 1 | 1 |
not entailment
|
~((h|t))
|
(t|h)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((h&h))|~((t|h)))
|
((~(h)>((t&h)&(t&t)))>(h&(t&t)))
| 1 | 0 | 1 | 0 |
entailment
|
(h|h)
|
(~(((~(~((h|h)))>h)&h))>t)
| 1 | 0 | 0 | 0 |
entailment
|
(~((h&h))|~((t|h)))
|
(~(((~(~((h|h)))>h)&h))>t)
| 0 | 0 | 1 | 0 |
not entailment
|
(h|h)
|
((~(h)>((t&h)&(t&t)))>(h&(t&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((f|(~(~(a))>a))>(l>(e>w))))
|
(r|((a&a)|~(((f|e)>(~(f)&(r|w))))))
| 1 | 0 | 0 | 0 |
entailment
|
(e>~((((f>a)&f)>((a>(e&f))>w))))
|
(e>((r|r)>f))
| 1 | 1 | 0 | 0 |
entailment
|
~(((f|(~(~(a))>a))>(l>(e>w))))
|
(e>((r|r)>f))
| 0 | 1 | 0 | 0 |
not entailment
|
(e>~((((f>a)&f)>((a>(e&f))>w))))
|
(r|((a&a)|~(((f|e)>(~(f)&(r|w))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a&l)&(((w|a)>l)>e))&(f&(e|w)))
|
~(~(~(~((~((w>l))>(l|(f>(w&e))))))))
| 1 | 0 | 1 | 0 |
entailment
|
(((r>l)|(r&e))>r)
|
~((f&~(r)))
| 1 | 1 | 0 | 0 |
entailment
|
(((a&l)&(((w|a)>l)>e))&(f&(e|w)))
|
~((f&~(r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((r>l)|(r&e))>r)
|
~(~(~(~((~((w>l))>(l|(f>(w&e))))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&((e&e)>(e&w)))&~(((~((l&a))&f)&f)))
|
(a|((e>(l>w))|(w&((~(a)&a)>(e|e)))))
| 1 | 1 | 1 | 0 |
entailment
|
((f>~(w))&~((f>a)))
|
(f&((r&r)|(l|f)))
| 1 | 1 | 0 | 0 |
entailment
|
((r&((e&e)>(e&w)))&~(((~((l&a))&f)&f)))
|
(f&((r&r)|(l|f)))
| 0 | 1 | 1 | 0 |
not entailment
|
((f>~(w))&~((f>a)))
|
(a|((e>(l>w))|(w&((~(a)&a)>(e|e)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((l|(~((r&w))>f))))|(w&a)))
|
~(l)
| 1 | 1 | 1 | 1 |
entailment
|
~(a)
|
(((w&r)|w)|(l|(a>(~(w)&e))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((l|(~((r&w))>f))))|(w&a)))
|
(((w&r)|w)|(l|(a>(~(w)&e))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(a)
|
~(l)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&a)
|
(~(~((f|f)))>((r&r)|r))
| 1 | 0 | 0 | 0 |
entailment
|
((l|l)&f)
|
~(((~(~((a&e)))&~((l&r)))&r))
| 1 | 0 | 0 | 0 |
entailment
|
(r&a)
|
~(((~(~((a&e)))&~((l&r)))&r))
| 0 | 0 | 0 | 0 |
not entailment
|
((l|l)&f)
|
(~(~((f|f)))>((r&r)|r))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((w|(w|r)))|((w>f)|(r|a))))
|
((~((a&f))|f)&~(f))
| 1 | 1 | 1 | 0 |
entailment
|
((a>~((l>r)))&~(((a&f)|~(e))))
|
((l>~(~((f&f))))|e)
| 1 | 1 | 1 | 0 |
entailment
|
~((~((w|(w|r)))|((w>f)|(r|a))))
|
((l>~(~((f&f))))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
((a>~((l>r)))&~(((a&f)|~(e))))
|
((~((a&f))|f)&~(f))
| 0 | 1 | 1 | 0 |
not entailment
|
~((f|(~(w)|(r>(a&e)))))
|
((a>w)|(~(r)>((a>l)>f)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(w)|(w|r))>~((~(l)|w)))
|
(l|a)
| 1 | 1 | 0 | 0 |
entailment
|
~((f|(~(w)|(r>(a&e)))))
|
(l|a)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(w)|(w|r))>~((~(l)|w)))
|
((a>w)|(~(r)>((a>l)>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&(e>(e|w)))
|
~(~((w|(((f>a)>(w|l))|e))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(l)&(~(((l&r)|l))>~(r)))
|
~(((e&((a&l)|l))&r))
| 1 | 1 | 0 | 0 |
entailment
|
(w&(e>(e|w)))
|
~(((e&((a&l)|l))&r))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(l)&(~(((l&r)|l))>~(r)))
|
~(~((w|(((f>a)>(w|l))|e))))
| 0 | 1 | 0 | 0 |
not entailment
|
((l|(l|e))|(r&e))
|
((f>l)|(~((((r|w)>e)|(w&w)))>w))
| 1 | 0 | 0 | 0 |
entailment
|
((l&f)|~((l&(f|l))))
|
~(((w>(l&~(f)))&w))
| 1 | 1 | 0 | 0 |
entailment
|
((l|(l|e))|(r&e))
|
~(((w>(l&~(f)))&w))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&f)|~((l&(f|l))))
|
((f>l)|(~((((r|w)>e)|(w&w)))>w))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((r|((r>w)>r))&e)))&~((w>l)))
|
(w|~(((e&e)&((a|l)>~(e)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((f>l)>l))
|
(f>((a>w)>l))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(((r|((r>w)>r))&e)))&~((w>l)))
|
(f>((a>w)>l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f>l)>l))
|
(w|~(((e&e)&((a|l)>~(e)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&(w&a))&(r>((r|a)|(e|l))))
|
(((~(a)>(f&f))|((e&(a|(e&(a>r))))&a))>w)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((e|a))>(a|((f>w)|l))))&f)
|
(((((f&a)&l)>~((f&f)))&f)|f)
| 1 | 1 | 1 | 0 |
entailment
|
((e&(w&a))&(r>((r|a)|(e|l))))
|
(((((f&a)&l)>~((f&f)))&f)|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~((e|a))>(a|((f>w)|l))))&f)
|
(((~(a)>(f&f))|((e&(a|(e&(a>r))))&a))>w)
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(~((r>((a>e)&l)))>(l>a)))
|
((a&r)|~(~((l|((a|w)>((e|l)|r))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((f|w)|r)&w)))
|
((a&~((f>~(l))))>(l>w))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(~((r>((a>e)&l)))>(l>a)))
|
((a&~((f>~(l))))>(l>w))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((((f|w)|r)&w)))
|
((a&r)|~(~((l|((a|w)>((e|l)|r))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r|l))
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(f)|(((w&w)|(~(r)&a))>(a>l))))
|
(((l|w)>r)|a)
| 1 | 1 | 1 | 0 |
entailment
|
~((r|l))
|
(((l|w)>r)|a)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(f)|(((w&w)|(~(r)&a))>(a>l))))
|
~(r)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((((e&e)|(~(l)&(e&r)))|~(a))|r))
|
~((~(a)&~(a)))
| 1 | 1 | 1 | 1 |
entailment
|
(((w>r)>f)&(w&r))
|
((w&~(f))>~(((e&l)|~((a&f)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((e&e)|(~(l)&(e&r)))|~(a))|r))
|
((w&~(f))>~(((e&l)|~((a&f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((w>r)>f)&(w&r))
|
~((~(a)&~(a)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((u|i))&((o|((z>c)>(i>d)))&(z>u)))
|
(~((~(o)|u))|~((u&c)))
| 1 | 1 | 1 | 1 |
entailment
|
(i|(z&d))
|
((z|u)|((d>(o>i))|(i&(o&c))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((u|i))&((o|((z>c)>(i>d)))&(z>u)))
|
((z|u)|((d>(o>i))|(i&(o&c))))
| 0 | 1 | 1 | 0 |
not entailment
|
(i|(z&d))
|
(~((~(o)|u))|~((u&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(c)>~((~(y)&~((d&d))))))
|
(c>(~(((o|(z>(o>(d>y))))>i))>(u>z)))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(((u>u)&y))>~(c))&(y&d))&u)
|
(z>d)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(c)>~((~(y)&~((d&d))))))
|
(z>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(((u>u)&y))>~(c))&(y&d))&u)
|
(c>(~(((o|(z>(o>(d>y))))>i))>(u>z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((o|(i|z))>y)&~(((d&(c&~(z)))|(c|d))))
|
(((d>u)|(i>(~(~(z))>c)))|(o&(c>c)))
| 1 | 1 | 0 | 0 |
entailment
|
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