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 |
|---|---|---|---|---|---|---|
(((c>((t&c)>(t>f)))&t)&c)
|
(((((k>f)>u)&f)|((u>f)&c))>(c|~(~(c))))
| 1 | 0 | 0 | 0 |
entailment
|
(((f|(f>k))>((u|k)>~(c)))&~(~(k)))
|
~(~((~((u|u))>k)))
| 1 | 1 | 1 | 0 |
entailment
|
(((c>((t&c)>(t>f)))&t)&c)
|
~(~((~((u|u))>k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((f|(f>k))>((u|k)>~(c)))&~(~(k)))
|
(((((k>f)>u)&f)|((u>f)&c))>(c|~(~(c))))
| 0 | 0 | 1 | 0 |
not entailment
|
((((t>c)>f)&f)&(~((u&((t>u)&(f>t))))&k))
|
(c|f)
| 1 | 1 | 1 | 0 |
entailment
|
~(u)
|
~(~(~((u&f))))
| 1 | 0 | 0 | 0 |
entailment
|
((((t>c)>f)&f)&(~((u&((t>u)&(f>t))))&k))
|
~(~(~((u&f))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(u)
|
(c|f)
| 0 | 1 | 0 | 0 |
not entailment
|
((u|u)|(((c>f)&u)|(((f>f)|c)&k)))
|
~(~((((k>u)|(~(~(f))&u))>u)))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(~((u|(f&u))))&((t&f)|u)))
|
((u|~((~((c&f))|f)))>((~(t)&c)|t))
| 1 | 0 | 0 | 0 |
entailment
|
((u|u)|(((c>f)&u)|(((f>f)|c)&k)))
|
((u|~((~((c&f))|f)))>((~(t)&c)|t))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((u|(f&u))))&((t&f)|u)))
|
~(~((((k>u)|(~(~(f))&u))>u)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((k|k)))
|
((u>k)|(((u&t)|f)>k))
| 1 | 0 | 0 | 0 |
entailment
|
~((c>~((((u|k)|u)>~((k&((t&k)&c)))))))
|
(((t&k)|~((f|u)))>c)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((k|k)))
|
(((t&k)|~((f|u)))>c)
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>~((((u|k)|u)>~((k&((t&k)&c)))))))
|
((u>k)|(((u&t)|f)>k))
| 0 | 1 | 0 | 0 |
not entailment
|
((((u&c)>u)&((t&k)|k))&(((u>u)>(c&k))|c))
|
(c|c)
| 1 | 1 | 1 | 1 |
entailment
|
~((((u&f)>t)|c))
|
((t>((c|c)&(t&f)))&(c>(t|c)))
| 1 | 0 | 1 | 0 |
entailment
|
((((u&c)>u)&((t&k)|k))&(((u>u)>(c&k))|c))
|
((t>((c|c)&(t&f)))&(c>(t|c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((u&f)>t)|c))
|
(c|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(((u|f)|u)>c)
|
(~(u)|c)
| 1 | 1 | 1 | 1 |
entailment
|
(k&(f&u))
|
((((c&c)|u)&(u>t))>(t>u))
| 1 | 0 | 0 | 0 |
entailment
|
(((u|f)|u)>c)
|
((((c&c)|u)&(u>t))>(t>u))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(f&u))
|
(~(u)|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(((f|f)&c)&u)
|
(t>((k|c)&t))
| 1 | 1 | 0 | 0 |
entailment
|
~((f|~((k>u))))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
(((f|f)&c)&u)
|
~(f)
| 0 | 1 | 1 | 0 |
not entailment
|
~((f|~((k>u))))
|
(t>((k|c)&t))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((((k>~(t))>f)&c)>(t|k)))&(t|u))
|
~(t)
| 1 | 1 | 1 | 1 |
entailment
|
(((u|(t&f))|c)>t)
|
((u>t)|(k&(c>t)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((((k>~(t))>f)&c)>(t|k)))&(t|u))
|
((u>t)|(k&(c>t)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((u|(t&f))|c)>t)
|
~(t)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~(u))&(c&f))
|
((f|t)>(c&(u&(u|f))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((c|k)))&((t&u)>(u&u))))
|
~(((c&~((f&((u|f)>k))))&~(t)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(u))&(c&f))
|
~(((c&~((f&((u|f)>k))))&~(t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((c|k)))&((t&u)>(u&u))))
|
((f|t)>(c&(u&(u|f))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((f&u)&k)&(f&c))
|
(u&f)
| 1 | 1 | 1 | 1 |
entailment
|
(k&(t&(k>u)))
|
(~(((t&(u>t))&u))>((c|~(c))>(u>t)))
| 1 | 0 | 0 | 0 |
entailment
|
(((f&u)&k)&(f&c))
|
(~(((t&(u>t))&u))>((c|~(c))>(u>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(t&(k>u)))
|
(u&f)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((c>(t&u)))|~((k&~(f)))))
|
(k|(c|(t|u)))
| 1 | 1 | 1 | 0 |
entailment
|
((~((u|f))>(u&((f>u)>~(t))))>(t&c))
|
(u>(k>c))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((c>(t&u)))|~((k&~(f)))))
|
(u>(k>c))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((u|f))>(u&((f>u)>~(t))))>(t&c))
|
(k|(c|(t|u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((f|g)&~((g|~(h))))
|
(h|c)
| 1 | 1 | 0 | 0 |
entailment
|
(((c|(h&f))>(o>~((y|l))))&o)
|
(((~(l)&(b|h))&~((h>o)))>(d|g))
| 1 | 0 | 0 | 0 |
entailment
|
((f|g)&~((g|~(h))))
|
(((~(l)&(b|h))&~((h>o)))>(d|g))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c|(h&f))>(o>~((y|l))))&o)
|
(h|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(f>~((((g&(g|c))&g)>(c&h))))
|
(((~(g)&~(d))>~((h&f)))|(o>l))
| 1 | 0 | 0 | 0 |
entailment
|
((~(l)|b)&(b>(g&f)))
|
(((~((b|~(l)))>h)|~((f>b)))|d)
| 1 | 0 | 0 | 0 |
entailment
|
(f>~((((g&(g|c))&g)>(c&h))))
|
(((~((b|~(l)))>h)|~((f>b)))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(l)|b)&(b>(g&f)))
|
(((~(g)&~(d))>~((h&f)))|(o>l))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&~(o))
|
((h>b)>(o>~((~(((c>o)>c))|o))))
| 1 | 0 | 0 | 0 |
entailment
|
(f|f)
|
((((d&g)>f)|((y&f)|f))|~((l&((o|c)|l))))
| 1 | 0 | 0 | 0 |
entailment
|
(y&~(o))
|
((((d&g)>f)|((y&f)|f))|~((l&((o|c)|l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f|f)
|
((h>b)>(o>~((~(((c>o)>c))|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((h|f))>((~(g)|d)>((y|h)|(b&d)))))
|
((c&f)>((o|l)&(b&(b>(o&o)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~((((h>(g&(y&d)))|d)|o))&c)))
|
(((l>h)|((l&y)>(l>y)))>~(d))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((h|f))>((~(g)|d)>((y|h)|(b&d)))))
|
(((l>h)|((l&y)>(l>y)))>~(d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~((((h>(g&(y&d)))|d)|o))&c)))
|
((c&f)>((o|l)&(b&(b>(o&o)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((c|o)))|c))
|
(o>h)
| 1 | 1 | 0 | 0 |
entailment
|
((o>(g|o))&(((d&(l|d))|l)&f))
|
(~(~((d|f)))|(((h>y)>l)&(b&c)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((c|o)))|c))
|
(~(~((d|f)))|(((h>y)>l)&(b&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((o>(g|o))&(((d&(l|d))|l)&f))
|
(o>h)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(((o>g)|g))|(b|g))&~(c))&b)
|
(~(((~(b)&d)&(~(h)&((l|o)&c))))|b)
| 1 | 0 | 0 | 0 |
entailment
|
(~(g)&(((c&((d>h)|o))|c)|(l&~(f))))
|
((g&(h>(h|h)))>~(o))
| 1 | 1 | 1 | 0 |
entailment
|
(((~(((o>g)|g))|(b|g))&~(c))&b)
|
((g&(h>(h|h)))>~(o))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(g)&(((c&((d>h)|o))|c)|(l&~(f))))
|
(~(((~(b)&d)&(~(h)&((l|o)&c))))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&h)
|
((((c>d)&y)&~(d))>(y&f))
| 1 | 0 | 0 | 0 |
entailment
|
((y&b)&(g&h))
|
(c|(g|(b|l)))
| 1 | 1 | 0 | 0 |
entailment
|
(f&h)
|
(c|(g|(b|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&b)&(g&h))
|
((((c>d)&y)&~(d))>(y&f))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(c&(d>l)))
|
(o>c)
| 1 | 1 | 0 | 0 |
entailment
|
~((((b>l)&b)|y))
|
((b|(h|~(y)))|(h&y))
| 1 | 0 | 0 | 0 |
entailment
|
(c&(c&(d>l)))
|
((b|(h|~(y)))|(h&y))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((b>l)&b)|y))
|
(o>c)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d|y)|(~(b)|d)))
|
(~(~((d>~((c|f)))))|~((b>(c&h))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&((y&y)|h))
|
(~(~((h>~(h))))|((f&h)|(d|l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d|y)|(~(b)|d)))
|
(~(~((h>~(h))))|((f&h)|(d|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&((y&y)|h))
|
(~(~((d>~((c|f)))))|~((b>(c&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c|f))
|
((h&f)>c)
| 1 | 1 | 0 | 0 |
entailment
|
~(((y|~(~(y)))|~(~(g))))
|
(y>g)
| 1 | 1 | 1 | 0 |
entailment
|
~((c|f))
|
(y>g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((y|~(~(y)))|~(~(g))))
|
((h&f)>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&~((((h&(h&~(d)))|(f&c))&(h>f))))
|
(y|(((h|g)>g)>(o>l)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((d&g)|(g>l)))
|
(h|g)
| 1 | 1 | 0 | 0 |
entailment
|
(y&~((((h&(h&~(d)))|(f&c))&(h>f))))
|
(h|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d&g)|(g>l)))
|
(y|(((h|g)>g)>(o>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((g&c)&d)
|
((~(((y>(l&h))>h))>f)|g)
| 1 | 0 | 0 | 0 |
entailment
|
~((g|((o|d)|(c&(~(d)&((d|b)|(y>d)))))))
|
~(~((((o&b)|f)>~((c&g)))))
| 1 | 1 | 0 | 0 |
entailment
|
((g&c)&d)
|
~(~((((o&b)|f)>~((c&g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g|((o|d)|(c&(~(d)&((d|b)|(y>d)))))))
|
((~(((y>(l&h))>h))>f)|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(((f>l)>~(~(y)))&g)
|
(((b>g)&d)|(c|(g&((h&c)>(o&b)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~(y)&h)|(d>(c&l)))>~(y)))
|
(~(d)|c)
| 1 | 1 | 1 | 1 |
entailment
|
(((f>l)>~(~(y)))&g)
|
(~(d)|c)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(y)&h)|(d>(c&l)))>~(y)))
|
(((b>g)&d)|(c|(g&((h&c)>(o&b)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&c)
|
(((g|l)>(l>c))|(b>o))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(((f>c)|d))>y))&g)
|
(((y|c)&((o|l)&o))>(g&o))
| 1 | 1 | 0 | 0 |
entailment
|
(c&c)
|
(((y|c)&((o|l)&o))>(g&o))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(((f>c)|d))>y))&g)
|
(((g|l)>(l>c))|(b>o))
| 0 | 1 | 0 | 0 |
not entailment
|
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