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 |
|---|---|---|---|---|---|---|
~((~(n)|~((f>(k&a)))))
|
~(~(((f>k)|(f&v))))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(k))>~(((i>p)&v)))&~((i&n)))
|
~(~(((f>k)|(f&v))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(n)|~((f>(k&a)))))
|
((y&((v>(p|a))&(i&n)))>(~((y>k))>v))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&(f>v))&~(((f>(p&a))>(k>(n|(i|i))))))
|
(y|~(((((a>~(i))>~(~((v&f))))|y)>a)))
| 1 | 1 | 1 | 0 |
entailment
|
(n&((a>y)&(p>i)))
|
((v|n)&((n>k)|((p>a)|(n>(i>p)))))
| 1 | 0 | 0 | 0 |
entailment
|
((y&(f>v))&~(((f>(p&a))>(k>(n|(i|i))))))
|
((v|n)&((n>k)|((p>a)|(n>(i>p)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(n&((a>y)&(p>i)))
|
(y|~(((((a>~(i))>~(~((v&f))))|y)>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(y)>((((~(y)|a)>~((v|i)))|a)|n)))
|
(~(a)|f)
| 1 | 1 | 0 | 0 |
entailment
|
(((k&p)|(p>y))>(f&((f>p)&~((~(k)>f)))))
|
((n|p)&(k>(((a|f)>(p>n))|((y|k)&a))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(y)>((((~(y)|a)>~((v|i)))|a)|n)))
|
((n|p)&(k>(((a|f)>(p>n))|((y|k)&a))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((k&p)|(p>y))>(f&((f>p)&~((~(k)>f)))))
|
(~(a)|f)
| 0 | 1 | 0 | 0 |
not entailment
|
((f&v)&((a|a)|~(v)))
|
(~(((f>y)>(y&f)))>((p&k)>i))
| 1 | 0 | 0 | 0 |
entailment
|
~(f)
|
~((f&(v>a)))
| 1 | 0 | 0 | 0 |
entailment
|
((f&v)&((a|a)|~(v)))
|
~((f&(v>a)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(f)
|
(~(((f>y)>(y&f)))>((p&k)>i))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&~((((k>f)|~(~(f)))&~(y))))
|
(f|(p|k))
| 1 | 1 | 0 | 0 |
entailment
|
(i&(f>~(a)))
|
((i|(n&p))|~((f|i)))
| 1 | 0 | 0 | 0 |
entailment
|
(f&~((((k>f)|~(~(f)))&~(y))))
|
((i|(n&p))|~((f|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&(f>~(a)))
|
(f|(p|k))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v&n)&p)&f)
|
(~(((y>~(v))>((y|a)&(y>n))))|n)
| 1 | 0 | 0 | 0 |
entailment
|
(i|i)
|
(((~(i)&(f&a))&(p&(a&n)))>~(((i|a)|p)))
| 1 | 0 | 0 | 0 |
entailment
|
(((v&n)&p)&f)
|
(((~(i)&(f&a))&(p&(a&n)))>~(((i|a)|p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(i|i)
|
(~(((y>~(v))>((y|a)&(y>n))))|n)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((f|(i&y))>n))
|
(((f|a)>f)|i)
| 1 | 1 | 0 | 0 |
entailment
|
~((n>(~(((v|(y&v))|(k|i)))|(k&(n&v)))))
|
(((k>i)|(p>n))|v)
| 1 | 1 | 0 | 0 |
entailment
|
~(((f|(i&y))>n))
|
(((k>i)|(p>n))|v)
| 0 | 1 | 0 | 0 |
not entailment
|
~((n>(~(((v|(y&v))|(k|i)))|(k&(n&v)))))
|
(((f|a)>f)|i)
| 0 | 1 | 0 | 0 |
not entailment
|
(n>((i&(n&p))&(p&i)))
|
(((n&k)&y)>((i|(a>f))|~(((i|v)&(i>i)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((n&y)))
|
((~(k)>n)|~(((p|y)&((~(y)&a)|f))))
| 1 | 0 | 0 | 0 |
entailment
|
(n>((i&(n&p))&(p&i)))
|
((~(k)>n)|~(((p|y)&((~(y)&a)|f))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((n&y)))
|
(((n&k)&y)>((i|(a>f))|~(((i|v)&(i>i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p|n)>k)&((~((~(k)|n))>n)&~((a|y))))
|
((k|(a>k))|k)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(y))
|
((a|y)|((k&y)&(i>((i&v)|(n&n)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((p|n)>k)&((~((~(k)|n))>n)&~((a|y))))
|
((a|y)|((k&y)&(i>((i&v)|(n&n)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(y))
|
((k|(a>k))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
~((a&k))
|
~(((a|(a|a))&~((((a>k)&a)>(i&(k>p))))))
| 1 | 0 | 0 | 0 |
entailment
|
((i>f)>(p&y))
|
((i|(p|n))|(i|v))
| 1 | 0 | 0 | 0 |
entailment
|
~((a&k))
|
((i|(p|n))|(i|v))
| 0 | 0 | 0 | 0 |
not entailment
|
((i>f)>(p&y))
|
~(((a|(a|a))&~((((a>k)&a)>(i&(k>p))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&y)
|
(y|(((~((a>n))|v)&v)|~(~((~(p)>v)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(k)>~(a))&k)
|
(~((f&~(~((~(k)&(k|v))))))|(a&(a|p)))
| 1 | 0 | 0 | 0 |
entailment
|
(n&y)
|
(~((f&~(~((~(k)&(k|v))))))|(a&(a|p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(k)>~(a))&k)
|
(y|(((~((a>n))|v)&v)|~(~((~(p)>v)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(v))&~(~(i)))&a)
|
((p|a)|k)
| 1 | 1 | 0 | 0 |
entailment
|
((n&v)&((f>v)>(a|~(f))))
|
~(~(n))
| 1 | 1 | 1 | 1 |
entailment
|
((~(~(v))&~(~(i)))&a)
|
~(~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
((n&v)&((f>v)>(a|~(f))))
|
((p|a)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((k|y)>p)>n)&(y&y))>((v&y)&~(v))))
|
((k&(v>i))>((a|y)|(i|n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(a)>(k>(f|(p|y)))))
|
(v|((n|k)>k))
| 1 | 1 | 0 | 0 |
entailment
|
~((((((k|y)>p)>n)&(y&y))>((v&y)&~(v))))
|
(v|((n|k)>k))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(a)>(k>(f|(p|y)))))
|
((k&(v>i))>((a|y)|(i|n)))
| 0 | 1 | 0 | 0 |
not entailment
|
((p|p)>((k|k)&n))
|
((p&i)>n)
| 1 | 1 | 0 | 0 |
entailment
|
(y&f)
|
(f|a)
| 1 | 1 | 0 | 0 |
entailment
|
((p|p)>((k|k)&n))
|
(f|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&f)
|
((p&i)>n)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(d)>f)|(h|~(~(b)))))
|
(~((f&f))>(b>~((v>~((f>f))))))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(p|(d>f)))
|
~(~((u|d)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~(d)>f)|(h|~(~(b)))))
|
~(~((u|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&(p|(d>f)))
|
(~((f&f))>(b>~((v>~((f>f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((v&h)&h)&(((u|d)|d)>h))&d)
|
(f>(h&f))
| 1 | 1 | 0 | 0 |
entailment
|
((p|(((b>d)|v)&v))&l)
|
~(~((p|((b|u)>l))))
| 1 | 1 | 0 | 0 |
entailment
|
((((v&h)&h)&(((u|d)|d)>h))&d)
|
~(~((p|((b|u)>l))))
| 0 | 1 | 0 | 0 |
not entailment
|
((p|(((b>d)|v)&v))&l)
|
(f>(h&f))
| 0 | 1 | 0 | 0 |
not entailment
|
(v&l)
|
((f&(~(h)|(v>f)))|((l>v)>l))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(((l>(h>l))|(f&l))|(b|b)))
|
(f>u)
| 1 | 1 | 1 | 0 |
entailment
|
(v&l)
|
(f>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(u&(((l>(h>l))|(f&l))|(b|b)))
|
((f&(~(h)|(v>f)))|((l>v)>l))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v|b)>v)&~(~(((u&(p>u))&v))))
|
(((d>b)>v)|(~(d)>l))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(((~(b)&u)|v)))&(h|(h&(b|d))))
|
(f>(h|d))
| 1 | 1 | 0 | 0 |
entailment
|
(((v|b)>v)&~(~(((u&(p>u))&v))))
|
(f>(h|d))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((~(b)&u)|v)))&(h|(h&(b|d))))
|
(((d>b)>v)|(~(d)>l))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(f&(d|v)))
|
(d|v)
| 1 | 1 | 1 | 1 |
entailment
|
(~((h&p))&((u|h)|((h>p)>(((f&f)>u)>v))))
|
(((~((p&l))>v)&p)>(p>(v|(f>~(h)))))
| 1 | 1 | 0 | 0 |
entailment
|
(b&(f&(d|v)))
|
(((~((p&l))>v)&p)>(p>(v|(f>~(h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((h&p))&((u|h)|((h>p)>(((f&f)>u)>v))))
|
(d|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((b&(b|u)))&~(~((p&h))))
|
(f|h)
| 1 | 1 | 0 | 0 |
entailment
|
~(((d&l)>((v|(l&d))>p)))
|
(d&d)
| 1 | 1 | 1 | 1 |
entailment
|
(~((b&(b|u)))&~(~((p&h))))
|
(d&d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d&l)>((v|(l&d))>p)))
|
(f|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(((b>b)|v)>(h&p))
|
~(~(((p>(v&d))>(h|(l|f)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((((l>h)&v)&d))|((h&~(p))&b)))
|
(~(~(f))|(f|v))
| 1 | 1 | 0 | 0 |
entailment
|
(((b>b)|v)>(h&p))
|
(~(~(f))|(f|v))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((((l>h)&v)&d))|((h&~(p))&b)))
|
~(~(((p>(v&d))>(h|(l|f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&l)
|
~(~(((((b>d)|p)|u)&(b>(d|l)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((f>v)|(p|l)))|(l&v))&(u>(h|(f>h))))
|
(v|(~(((b&(v|p))&((h|~(h))&l)))|u))
| 1 | 1 | 0 | 0 |
entailment
|
(d&l)
|
(v|(~(((b&(v|p))&((h|~(h))&l)))|u))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((f>v)|(p|l)))|(l&v))&(u>(h|(f>h))))
|
~(~(((((b>d)|p)|u)&(b>(d|l)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(v&(((u|l)>p)>(b&h)))
|
((l|d)|(h|u))
| 1 | 1 | 0 | 0 |
entailment
|
(f&(v|u))
|
(~(((d&h)|u))|~(~(((l>(l|d))>(p|f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(v&(((u|l)>p)>(b&h)))
|
(~(((d&h)|u))|~(~(((l>(l|d))>(p|f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&(v|u))
|
((l|d)|(h|u))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h>~(f))>(~(p)|(l|h))))
|
(p|(b>((u|v)&v)))
| 1 | 1 | 0 | 0 |
entailment
|
((d&d)&f)
|
(b|f)
| 1 | 1 | 0 | 0 |
entailment
|
~(((h>~(f))>(~(p)|(l|h))))
|
(b|f)
| 0 | 1 | 0 | 0 |
not entailment
|
((d&d)&f)
|
(p|(b>((u|v)&v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&~(~(((f>~(b))&(~((d>(p>h)))|l)))))
|
((h|d)|(u>d))
| 1 | 1 | 0 | 0 |
entailment
|
~((((d&(d|u))|(l|b))|p))
|
~(~(((~(l)|~(b))|((d|v)>u))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&~(~(((f>~(b))&(~((d>(p>h)))|l)))))
|
~(~(((~(l)|~(b))|((d|v)>u))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((d&(d|u))|(l|b))|p))
|
((h|d)|(u>d))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&f)
|
(((u&f)>(b&(l&d)))>(~(~(p))|(b|(h|l))))
| 1 | 0 | 0 | 0 |
entailment
|
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