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&h)
|
(a>~(((a>e)&~(h))))
| 1 | 0 | 0 | 0 |
entailment
|
(a&(((a|(a>b))|h)>(~(~(((e>h)|e)))>b)))
|
((e&h)>(b|a))
| 1 | 1 | 1 | 1 |
entailment
|
(h&h)
|
((e&h)>(b|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&(((a|(a>b))|h)>(~(~(((e>h)|e)))>b)))
|
(a>~(((a>e)&~(h))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((a|a)|a))&(a|(~((h&e))&~(b))))
|
~(((h|((b&a)&h))&(e|b)))
| 1 | 1 | 1 | 1 |
entailment
|
((e&b)&(b|b))
|
(e|(h&e))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((a|a)|a))&(a|(~((h&e))&~(b))))
|
(e|(h&e))
| 0 | 1 | 1 | 0 |
not entailment
|
((e&b)&(b|b))
|
~(((h|((b&a)&h))&(e|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((e>(((e|a)>(e&h))&(a>h))))
|
(((a|h)&e)|e)
| 1 | 1 | 1 | 0 |
entailment
|
((~((~(h)|e))|~(~(~((a>a)))))&h)
|
(a|(h|h))
| 1 | 1 | 1 | 1 |
entailment
|
~((e>(((e|a)>(e&h))&(a>h))))
|
(a|(h|h))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((~(h)|e))|~(~(~((a>a)))))&h)
|
(((a|h)&e)|e)
| 0 | 1 | 1 | 0 |
not entailment
|
(a&b)
|
(~((a>b))>(~((h&a))&((h|e)>b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(e))
|
(~((h>b))|e)
| 1 | 0 | 0 | 0 |
entailment
|
(a&b)
|
(~((h>b))|e)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(e))
|
(~((a>b))>(~((h&a))&((h|e)>b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&h)&a)
|
((~((b&a))>(b>h))>((e&~(h))>(b|b)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(a))&(~(h)&((h|((e|h)|a))&~(b))))
|
~((e&(h&(a|((b>(h&a))|e)))))
| 1 | 1 | 1 | 0 |
entailment
|
((e&h)&a)
|
~((e&(h&(a|((b>(h&a))|e)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(a))&(~(h)&((h|((e|h)|a))&~(b))))
|
((~((b&a))>(b>h))>((e&~(h))>(b|b)))
| 0 | 1 | 1 | 0 |
not entailment
|
(b&a)
|
((e>e)>(a>b))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((a>b)&(~(e)|e)))&(h>a))
|
((h&(a&a))>~(((((e|e)&(b>h))|(a&h))>b)))
| 1 | 0 | 1 | 0 |
entailment
|
(b&a)
|
((h&(a&a))>~(((((e|e)&(b>h))|(a&h))>b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((a>b)&(~(e)|e)))&(h>a))
|
((e>e)>(a>b))
| 0 | 1 | 1 | 0 |
not entailment
|
((a|e)&b)
|
(((e>h)&a)|((e>(e>e))&e))
| 1 | 0 | 0 | 0 |
entailment
|
(((a&b)|b)&h)
|
((h&(e|h))|~((((e|a)|e)|b)))
| 1 | 0 | 0 | 0 |
entailment
|
((a|e)&b)
|
((h&(e|h))|~((((e|a)|e)|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a&b)|b)&h)
|
(((e>h)&a)|((e>(e>e))&e))
| 0 | 0 | 0 | 0 |
not entailment
|
((e|e)&~(((e&a)|h)))
|
((h|(h&e))|(~((~((a|a))>h))|~((h|a))))
| 1 | 0 | 1 | 0 |
entailment
|
(a&(b&(h|a)))
|
(b|a)
| 1 | 1 | 1 | 1 |
entailment
|
((e|e)&~(((e&a)|h)))
|
(b|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(b&(h|a)))
|
((h|(h&e))|(~((~((a|a))>h))|~((h|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&a)
|
(~((e|a))|((e>(h&e))>a))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((((~(a)>e)>(e|a))>(e&h))))&(h|h))
|
(~((~((a>h))&~(b)))>(h>((b&b)|e)))
| 1 | 1 | 0 | 0 |
entailment
|
(h&a)
|
(~((~((a>h))&~(b)))>(h>((b&b)|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((((~(a)>e)>(e|a))>(e&h))))&(h|h))
|
(~((e|a))|((e>(h&e))>a))
| 0 | 1 | 1 | 0 |
not entailment
|
(((b|b)>(b>e))&(a&(~(b)|b)))
|
((e>(e&h))>(a|(b&(h>((b>h)>h)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(e)
|
(((a>h)&(h&e))>(~(h)&(h&h)))
| 1 | 0 | 0 | 0 |
entailment
|
(((b|b)>(b>e))&(a&(~(b)|b)))
|
(((a>h)&(h&e))>(~(h)&(h&h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(e)
|
((e>(e&h))>(a|(b&(h>((b>h)>h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(~(((h>~(s))&(g|d)))))|~(v)))
|
((s|(w&v))>(h>v))
| 1 | 1 | 0 | 0 |
entailment
|
~(((w|w)>(~(d)&w)))
|
(w>d)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(~(~(((h>~(s))&(g|d)))))|~(v)))
|
(w>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((w|w)>(~(d)&w)))
|
((s|(w&v))>(h>v))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(v))>~(((v&v)|s)))
|
(((g&d)|s)|(((g&v)|s)>((s|d)|~(h))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&w)
|
~(~(((g>g)&((w>~(w))>(w|d)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(v))>~(((v&v)|s)))
|
~(~(((g>g)&((w>~(w))>(w|d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&w)
|
(((g&d)|s)|(((g&v)|s)>((s|d)|~(h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((v>g))&d)
|
(d&(d|s))
| 1 | 1 | 0 | 0 |
entailment
|
(h&~(~(((w&g)&(d|g)))))
|
(~(w)|(~(((h&g)|s))>(~(~(h))&(g>w))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((v>g))&d)
|
(~(w)|(~(((h&g)|s))>(~(~(h))&(g>w))))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&~(~(((w&g)&(d|g)))))
|
(d&(d|s))
| 0 | 1 | 0 | 0 |
not entailment
|
((v&(v&g))&(h>(~(g)&d)))
|
((~((h|d))>(v&((g|d)&v)))&((h>h)|(d&s)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(g)>(h>(d|d)))&~((v>(s&((w|s)|w)))))
|
(s>(g>(w&d)))
| 1 | 1 | 1 | 0 |
entailment
|
((v&(v&g))&(h>(~(g)&d)))
|
(s>(g>(w&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(g)>(h>(d|d)))&~((v>(s&((w|s)|w)))))
|
((~((h|d))>(v&((g|d)&v)))&((h>h)|(d&s)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((g>((v&(s>w))|~((d&v)))))
|
(w>h)
| 1 | 1 | 0 | 0 |
entailment
|
~(s)
|
~(((((v>d)&s)&(s|g))&(v&d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((g>((v&(s>w))|~((d&v)))))
|
~(((((v>d)&s)&(s|g))&(v&d)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(s)
|
(w>h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((w&(((g>h)|d)|g))>((v&s)>(v>g))))
|
~((~(v)&s))
| 1 | 1 | 1 | 0 |
entailment
|
((w&h)|(~(v)&((d|w)|((d>d)>s))))
|
(v>(g|h))
| 1 | 1 | 0 | 0 |
entailment
|
~(((w&(((g>h)|d)|g))>((v&s)>(v>g))))
|
(v>(g|h))
| 0 | 1 | 1 | 0 |
not entailment
|
((w&h)|(~(v)&((d|w)|((d>d)>s))))
|
~((~(v)&s))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(s)&g)
|
(~(~(~((~(((g&g)|v))|g))))>(h>~(s)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(d))
|
(w>((s>g)>d))
| 1 | 0 | 0 | 0 |
entailment
|
(~(s)&g)
|
(w>((s>g)>d))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(d))
|
(~(~(~((~(((g&g)|v))|g))))>(h>~(s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(((s|d)|w))>(v>h))&(d>h)))
|
((s>(~(w)>(d|w)))|(h&g))
| 1 | 1 | 0 | 0 |
entailment
|
((~((w|v))&(h|(d|(g|w))))&~((g|g)))
|
~((((d>((h>v)>(v>v)))>(h>v))&g))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~(((s|d)|w))>(v>h))&(d>h)))
|
~((((d>((h>v)>(v>v)))>(h>v))&g))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((w|v))&(h|(d|(g|w))))&~((g|g)))
|
((s>(~(w)>(d|w)))|(h&g))
| 0 | 1 | 0 | 0 |
not entailment
|
((w|~((g>(g&~(s)))))&~((w>(v|d))))
|
(w|(h&(v|d)))
| 1 | 1 | 0 | 0 |
entailment
|
(h&h)
|
(h|~(s))
| 1 | 0 | 0 | 0 |
entailment
|
((w|~((g>(g&~(s)))))&~((w>(v|d))))
|
(h|~(s))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&h)
|
(w|(h&(v|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&d)
|
(((h|v)&h)>(h&d))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((s&w))|v))
|
((s&h)|((h|((v&v)>w))|(h|h)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&d)
|
((s&h)|((h|((v&v)>w))|(h|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((s&w))|v))
|
(((h|v)&h)>(h&d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((g&(v&v))))
|
(v|((~((s|h))|(h>(g|(d&h))))&(w|v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((h>~(s)))
|
((h>w)|s)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((g&(v&v))))
|
((h>w)|s)
| 0 | 1 | 0 | 0 |
not entailment
|
~((h>~(s)))
|
(v|((~((s|h))|(h>(g|(d&h))))&(w|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((h&(w|w))|~(h))>((w>h)>(h|(v>s)))))
|
~((s&(~(v)|g)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(w))&v)
|
(((g|d)>v)>(v&(v&(s|w))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((h&(w|w))|~(h))>((w>h)>(h|(v>s)))))
|
(((g|d)>v)>(v&(v&(s|w))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(w))&v)
|
~((s&(~(v)|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((v&h)>(v&(v&g))))
|
(h&v)
| 1 | 1 | 1 | 1 |
entailment
|
(h&~((~(v)>v)))
|
(~(((~((v&h))&h)&h))>~(s))
| 1 | 0 | 0 | 0 |
entailment
|
~(((v&h)>(v&(v&g))))
|
(~(((~((v&h))&h)&h))>~(s))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&~((~(v)>v)))
|
(h&v)
| 0 | 1 | 1 | 0 |
not entailment
|
((~(~(((u&b)|p)))>(p|u))>~((b|~(z))))
|
(((~(b)|p)|(z&(p&u)))|z)
| 1 | 1 | 1 | 1 |
entailment
|
~((((m|m)&(m>z))|w))
|
((w>m)|((u|u)&(z&w)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(((u&b)|p)))>(p|u))>~((b|~(z))))
|
((w>m)|((u|u)&(z&w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((m|m)&(m>z))|w))
|
(((~(b)|p)|(z&(p&u)))|z)
| 0 | 0 | 0 | 0 |
not entailment
|
~((m>(b|p)))
|
((p>m)|u)
| 1 | 1 | 0 | 0 |
entailment
|
(z&b)
|
(w|((b|u)|p))
| 1 | 0 | 0 | 0 |
entailment
|
~((m>(b|p)))
|
(w|((b|u)|p))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&b)
|
((p>m)|u)
| 0 | 0 | 0 | 0 |
not entailment
|
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