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 |
|---|---|---|---|---|---|---|
(d&a)
|
(v|~((f>~((v|c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&((~(~(v))>a)&c))
|
(c&(y|((c>(c>f))|((~(w)>y)>(a>~(t))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((l>~((y>~(t)))))>(y|(f>e))))
|
((y>d)&(y>d))
| 1 | 1 | 0 | 0 |
entailment
|
(f&((~(~(v))>a)&c))
|
((y>d)&(y>d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((l>~((y>~(t)))))>(y|(f>e))))
|
(c&(y|((c>(c>f))|((~(w)>y)>(a>~(t))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w|(e&w))&f)&d)
|
((w|l)|~(f))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((~((v|v))&c)))|((w>e)&y))
|
((c|c)|y)
| 1 | 1 | 1 | 1 |
entailment
|
(((w|(e&w))&f)&d)
|
((c|c)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((~((v|v))&c)))|((w>e)&y))
|
((w|l)|~(f))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((w|(t|l)))&v)
|
~(((~(t)>(e&((v|t)>l)))&((f>d)>a)))
| 1 | 0 | 0 | 0 |
entailment
|
((v&a)&(w&t))
|
~(~((y|((c&(v>w))|~(c)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((w|(t|l)))&v)
|
~(~((y|((c&(v>w))|~(c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((v&a)&(w&t))
|
~(((~(t)>(e&((v|t)>l)))&((f>d)>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
((a|((f|e)&~((a|v))))&~(~((y&w))))
|
(y|~((((~(e)>(((f>c)&d)>a))>a)&(t&t))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((f|f)&l)>(c&a)))&((a>d)&v))
|
(~((((((t|v)|(l|t))>w)&~(l))>d))|(v|a))
| 1 | 0 | 0 | 0 |
entailment
|
((a|((f|e)&~((a|v))))&~(~((y&w))))
|
(~((((((t|v)|(l|t))>w)&~(l))>d))|(v|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((f|f)&l)>(c&a)))&((a>d)&v))
|
(y|~((((~(e)>(((f>c)&d)>a))>a)&(t&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((w>t))
|
(t>(~((c>l))>f))
| 1 | 0 | 0 | 0 |
entailment
|
(c>(a&y))
|
((~(~(~(((~(a)>(v>t))|e))))&c)>l)
| 1 | 0 | 0 | 0 |
entailment
|
~((w>t))
|
((~(~(~(((~(a)>(v>t))|e))))&c)>l)
| 0 | 0 | 0 | 0 |
not entailment
|
(c>(a&y))
|
(t>(~((c>l))>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(d)&(l|((c&w)>(t|l))))>(~(f)>d))&e)
|
(((w>w)&v)|(w|e))
| 1 | 1 | 0 | 0 |
entailment
|
~((((c>y)|(y>y))&e))
|
((y&y)>((e>v)|l))
| 1 | 1 | 0 | 0 |
entailment
|
(((~(d)&(l|((c&w)>(t|l))))>(~(f)>d))&e)
|
((y&y)>((e>v)|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((c>y)|(y>y))&e))
|
(((w>w)&v)|(w|e))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&c)
|
((e|c)|~((d|w)))
| 1 | 0 | 0 | 0 |
entailment
|
((d&(w>c))&((d&f)&~(a)))
|
((~(f)&~((t&(t&d))))>(~(w)&~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&c)
|
((~(f)&~((t&(t&d))))>(~(w)&~(t)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&(w>c))&((d&f)&~(a)))
|
((e|c)|~((d|w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d|d)>((e>(v&a))|((w|c)|c))))
|
((((t&~((t&l)))>w)|e)&~(w))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(v&~((w|l))))
|
~(((w>((~(y)&(c&~(l)))|y))>l))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d|d)>((e>(v&a))|((w|c)|c))))
|
~(((w>((~(y)&(c&~(l)))|y))>l))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(v&~((w|l))))
|
((((t&~((t&l)))>w)|e)&~(w))
| 0 | 0 | 0 | 0 |
not entailment
|
((((((w>z)&w)>z)|((w|h)|z))|w)&~((z>d)))
|
(b>(d>((d>d)>e)))
| 1 | 1 | 0 | 0 |
entailment
|
~((d>(e|w)))
|
((w>d)&((w>h)&d))
| 1 | 0 | 0 | 0 |
entailment
|
((((((w>z)&w)>z)|((w|h)|z))|w)&~((z>d)))
|
((w>d)&((w>h)&d))
| 0 | 1 | 1 | 0 |
not entailment
|
~((d>(e|w)))
|
(b>(d>((d>d)>e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&d)
|
~(~(((((w>(d>z))|d)|~(z))>((w|e)&d))))
| 1 | 0 | 0 | 0 |
entailment
|
((b|(d&h))>((z>z)>~((d>d))))
|
(h>(b>z))
| 1 | 1 | 1 | 1 |
entailment
|
(e&d)
|
(h>(b>z))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|(d&h))>((z>z)>~((d>d))))
|
~(~(((((w>(d>z))|d)|~(z))>((w|e)&d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&~(((h>(z|h))&(z>b))))
|
((b>(h&(z&h)))|d)
| 1 | 1 | 0 | 0 |
entailment
|
(h&w)
|
(d>w)
| 1 | 1 | 0 | 0 |
entailment
|
(z&~(((h>(z|h))&(z>b))))
|
(d>w)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&w)
|
((b>(h&(z&h)))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
(z|w)
|
(~(~((~(((w|z)|~(b)))&e)))>(h>w))
| 1 | 0 | 0 | 0 |
entailment
|
((e&b)|((h&b)&(w|((d&e)&e))))
|
(~((b&(w&b)))>((z&z)|~(~((w>d)))))
| 1 | 0 | 0 | 0 |
entailment
|
(z|w)
|
(~((b&(w&b)))>((z&z)|~(~((w>d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&b)|((h&b)&(w|((d&e)&e))))
|
(~(~((~(((w|z)|~(b)))&e)))>(h>w))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&((b>w)&(e>h)))
|
~((~((d>b))&z))
| 1 | 1 | 0 | 0 |
entailment
|
((z&d)&~(b))
|
(((z|~(~(w)))>(h>w))>z)
| 1 | 0 | 0 | 0 |
entailment
|
(b&((b>w)&(e>h)))
|
(((z|~(~(w)))>(h>w))>z)
| 0 | 0 | 0 | 0 |
not entailment
|
((z&d)&~(b))
|
~((~((d>b))&z))
| 0 | 0 | 1 | 0 |
not entailment
|
(((w&(w|d))|(d>e))&((w>e)&(h>d)))
|
(((h>w)|b)|(~(((w&d)>b))|(h>d)))
| 1 | 1 | 0 | 0 |
entailment
|
((e>w)>d)
|
(z|(e|~(~(((w&w)|d)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((w&(w|d))|(d>e))&((w>e)&(h>d)))
|
(z|(e|~(~(((w&w)|d)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((e>w)>d)
|
(((h>w)|b)|(~(((w&d)>b))|(h>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(w))|((b>z)>(e>d)))&e)
|
((~(z)&((~((e&w))>((w|d)>(e|z)))|w))>e)
| 1 | 0 | 1 | 0 |
entailment
|
(h|w)
|
~((~(w)&(~((h|b))&d)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(w))|((b>z)>(e>d)))&e)
|
~((~(w)&(~((h|b))&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(h|w)
|
((~(z)&((~((e&w))>((w|d)>(e|z)))|w))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((h|d)|b))))
|
(~((b|b))|(~((e>(e&(b&z))))>z))
| 1 | 0 | 0 | 0 |
entailment
|
~((z|z))
|
(w|((z&z)>(w&z)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((h|d)|b))))
|
(w|((z&z)>(w&z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z|z))
|
(~((b|b))|(~((e>(e&(b&z))))>z))
| 0 | 0 | 0 | 0 |
not entailment
|
~((z>((b|d)|~(w))))
|
(~(w)>((~(b)&h)|((((z&h)>h)&(d&e))&h)))
| 1 | 0 | 0 | 0 |
entailment
|
~((b>((d|d)|d)))
|
((b&((d|h)|((b>(w&h))>z)))&(~(d)|~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((z>((b|d)|~(w))))
|
((b&((d|h)|((b>(w&h))>z)))&(~(d)|~(d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b>((d|d)|d)))
|
(~(w)>((~(b)&h)|((((z&h)>h)&(d&e))&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(h)&w)&e)>(b&(d&b))))
|
((((e|(d>d))>z)&d)>(b>w))
| 1 | 1 | 0 | 0 |
entailment
|
(((b|d)&(~(~(h))>e))&b)
|
((b>h)>h)
| 1 | 1 | 1 | 0 |
entailment
|
~((((~(h)&w)&e)>(b&(d&b))))
|
((b>h)>h)
| 0 | 1 | 1 | 0 |
not entailment
|
(((b|d)&(~(~(h))>e))&b)
|
((((e|(d>d))>z)&d)>(b>w))
| 0 | 1 | 0 | 0 |
not entailment
|
((w&(((e>w)>z)&w))&~(((d>z)>(b>d))))
|
((z>(z&b))>(((h&e)&e)>w))
| 1 | 1 | 0 | 0 |
entailment
|
~(b)
|
(b>(z>h))
| 1 | 0 | 0 | 0 |
entailment
|
((w&(((e>w)>z)&w))&~(((d>z)>(b>d))))
|
(b>(z>h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(b)
|
((z>(z&b))>(((h&e)&e)>w))
| 0 | 0 | 0 | 0 |
not entailment
|
~((e>((z>w)>h)))
|
(e|w)
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(~((z|(z>w))))|(b&(d&w))))|b)
|
((w|d)|b)
| 1 | 1 | 1 | 0 |
entailment
|
~((e>((z>w)>h)))
|
((w|d)|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(~((z|(z>w))))|(b&(d&w))))|b)
|
(e|w)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&w)
|
(z|(w&w))
| 1 | 0 | 0 | 0 |
entailment
|
~((z&z))
|
~((z&h))
| 1 | 1 | 0 | 0 |
entailment
|
(d&w)
|
~((z&h))
| 0 | 0 | 0 | 0 |
not entailment
|
~((z&z))
|
(z|(w&w))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(z)&(e|w))&~(e))&((w&~(z))&(z|w)))
|
(~((~(h)&w))>w)
| 1 | 1 | 0 | 0 |
entailment
|
((h|h)&(b&e))
|
~(~(b))
| 1 | 1 | 1 | 1 |
entailment
|
(((~(z)&(e|w))&~(e))&((w&~(z))&(z|w)))
|
~(~(b))
| 0 | 1 | 0 | 0 |
not entailment
|
((h|h)&(b&e))
|
(~((~(h)&w))>w)
| 0 | 0 | 0 | 0 |
not entailment
|
(h|h)
|
((z>w)|(d|(e|h)))
| 1 | 0 | 0 | 0 |
entailment
|
(h|h)
|
(b>w)
| 0 | 1 | 0 | 0 |
not entailment
|
~(b)
|
((z>w)|(d|(e|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&(b&z))
|
((z>e)&(b>z))
| 1 | 0 | 1 | 0 |
entailment
|
(b&w)
|
(w|((z>(h&d))|((~(d)&b)>h)))
| 1 | 0 | 0 | 0 |
entailment
|
(e&(b&z))
|
(w|((z>(h&d))|((~(d)&b)>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&w)
|
((z>e)&(b>z))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z&w)>(~(h)&z)))
|
((w|b)|~((w>d)))
| 1 | 1 | 0 | 0 |
entailment
|
(z&(e&z))
|
(~(d)|e)
| 1 | 1 | 0 | 0 |
entailment
|
~(((z&w)>(~(h)&z)))
|
(~(d)|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(e&z))
|
((w|b)|~((w>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
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