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 |
|---|---|---|---|---|---|---|
((((v|j)>q)|(f|q))&(h&~(v)))
|
(f|~(((f>h)>(~((a&i))&a))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((a>v)&~((q|i))))>j)
|
(((f&h)&i)>((((v|f)&h)>j)&(h&(h>h))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((o|f))|a)&q)
|
((~(h)&q)|h)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((a>v)&~((q|i))))>j)
|
((~(h)&q)|h)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((o|f))|a)&q)
|
(((f&h)&i)>((((v|f)&h)>j)&(h&(h>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(h)|(a|(i|v)))|(f&j)))
|
(o|h)
| 1 | 1 | 0 | 0 |
entailment
|
~(((o|(i|(a|v)))>h))
|
(~((h|(a&(v&~(v)))))|(h>q))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(h)|(a|(i|v)))|(f&j)))
|
(~((h|(a&(v&~(v)))))|(h>q))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o|(i|(a|v)))>h))
|
(o|h)
| 0 | 1 | 1 | 0 |
not entailment
|
((v>o)&h)
|
((a>((q|q)|~(((~(o)&f)&~((a&v))))))>h)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((i>v)))|(a>q)))
|
(~(~(v))|i)
| 1 | 1 | 1 | 0 |
entailment
|
((v>o)&h)
|
(~(~(v))|i)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((i>v)))|(a>q)))
|
((a>((q|q)|~(((~(o)&f)&~((a&v))))))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((q>j))&((f|f)|h))
|
~(~(((q&~(j))|((i&v)>h))))
| 1 | 0 | 0 | 0 |
entailment
|
(i&(~(j)&a))
|
((h&~(a))>(v&(a>~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((q>j))&((f|f)|h))
|
((h&~(a))>(v&(a>~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(~(j)&a))
|
~(~(((q&~(j))|((i&v)>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(j|j)
|
(~((~(i)|((((o&h)|q)&(f|a))>(v&j))))>j)
| 1 | 0 | 0 | 0 |
entailment
|
(a&o)
|
(a|(j&f))
| 1 | 0 | 0 | 0 |
entailment
|
(j|j)
|
(a|(j&f))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&o)
|
(~((~(i)|((((o&h)|q)&(f|a))>(v&j))))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
((((q&h)|((j&i)|i))|o)&~(i))
|
(((h&v)|o)>~((~((h&f))&(i&~(j)))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&((v>(((h|f)|a)&~(~(v))))>o))
|
(~(h)>(~(q)>j))
| 1 | 1 | 0 | 0 |
entailment
|
((((q&h)|((j&i)|i))|o)&~(i))
|
(~(h)>(~(q)>j))
| 0 | 1 | 1 | 1 |
not entailment
|
(h&((v>(((h|f)|a)&~(~(v))))>o))
|
(((h&v)|o)>~((~((h&f))&(i&~(j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((j|i)|v)>i)>~((o|i))))
|
((j&(f>a))>(a>i))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((v&((i&h)>(o&j)))))
|
(v|~(j))
| 1 | 1 | 1 | 0 |
entailment
|
~(((((j|i)|v)>i)>~((o|i))))
|
(v|~(j))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((v&((i&h)>(o&j)))))
|
((j&(f>a))>(a>i))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((v>a))|((f|(j|h))|a)))
|
(~(v)|j)
| 1 | 1 | 1 | 0 |
entailment
|
((~(j)>(h|i))&a)
|
((a|~(h))&((j|a)|(h|v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((v>a))|((f|(j|h))|a)))
|
((a|~(h))&((j|a)|(h|v)))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(j)>(h|i))&a)
|
(~(v)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((j|(h&a))>(j|v)))
|
~((j|~((((a>j)&((f>i)|f))>(v|f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(v&(a|h))
|
((a>(o|q))|((a&i)>v))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j|(h&a))>(j|v)))
|
((a>(o|q))|((a&i)>v))
| 0 | 1 | 0 | 0 |
not entailment
|
(v&(a|h))
|
~((j|~((((a>j)&((f>i)|f))>(v|f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c|c)
|
((c&c)|c)
| 1 | 0 | 1 | 1 |
entailment
|
~(((c|(c&c))|((c>c)>c)))
|
~(((c>(c&c))>(c&c)))
| 1 | 1 | 1 | 1 |
entailment
|
(c|c)
|
~(((c>(c&c))>(c&c)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((c|(c&c))|((c>c)>c)))
|
((c&c)|c)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((~((c>c))&c)|c)))
|
(((c|c)&c)&c)
| 1 | 1 | 1 | 1 |
entailment
|
(((c>(((c|c)|c)>(c|c)))>(c|c))>~(c))
|
~(c)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((~((c>c))&c)|c)))
|
~(c)
| 0 | 1 | 1 | 1 |
not entailment
|
(((c>(((c|c)|c)>(c|c)))>(c|c))>~(c))
|
(((c|c)&c)&c)
| 0 | 1 | 1 | 1 |
not entailment
|
((c|(((c>c)|c)|c))&c)
|
((c&c)&c)
| 1 | 1 | 1 | 1 |
entailment
|
~(((c|((c&c)&c))|((c|c)&c)))
|
~(c)
| 1 | 1 | 1 | 1 |
entailment
|
((c|(((c>c)|c)|c))&c)
|
~(c)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((c|((c&c)&c))|((c|c)&c)))
|
((c&c)&c)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((((c>c)&c)&((c&c)>c)))>(c&(c|c)))
|
(~(c)>c)
| 1 | 1 | 1 | 1 |
entailment
|
~(c)
|
~((((c>c)>(c&c))&~(~((c|(c&c))))))
| 1 | 0 | 1 | 0 |
entailment
|
(~((((c>c)&c)&((c&c)>c)))>(c&(c|c)))
|
~((((c>c)>(c&c))&~(~((c|(c&c))))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(c)
|
(~(c)>c)
| 0 | 0 | 1 | 0 |
not entailment
|
((((c>c)|c)&(c>(c|c)))&c)
|
~(~(c))
| 1 | 1 | 1 | 1 |
entailment
|
(((c>(c&c))>c)>(c&(c&~((c&c)))))
|
(~((c&c))&~(c))
| 1 | 1 | 1 | 1 |
entailment
|
((((c>c)|c)&(c>(c|c)))&c)
|
(~((c&c))&~(c))
| 0 | 1 | 1 | 1 |
not entailment
|
(((c>(c&c))>c)>(c&(c&~((c&c)))))
|
~(~(c))
| 0 | 1 | 1 | 1 |
not entailment
|
((c&c)&(c|c))
|
((c|c)|((c>((~(c)&c)&~(c)))>c))
| 1 | 0 | 1 | 0 |
entailment
|
~((c&(~((c&(c|(c>c))))>((c|c)&(c>c)))))
|
~(((c>(~(((c|c)&c))|~(c)))>~((c>c))))
| 1 | 1 | 1 | 1 |
entailment
|
((c&c)&(c|c))
|
~(((c>(~(((c|c)&c))|~(c)))>~((c>c))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((c&(~((c&(c|(c>c))))>((c|c)&(c>c)))))
|
((c|c)|((c>((~(c)&c)&~(c)))>c))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((c&c)|c)))
|
(c&c)
| 1 | 1 | 1 | 1 |
entailment
|
~(c)
|
(~(((c>c)>c))&(((c&c)&(c|c))>~(~(c))))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(((c&c)|c)))
|
(~(((c>c)>c))&(((c&c)&(c|c))>~(~(c))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(c)
|
(c&c)
| 0 | 1 | 1 | 0 |
not entailment
|
(((j&h)>(u|x))&(~((s>(b>a)))|o))
|
(~((j|j))|(r|((o|b)&j)))
| 1 | 1 | 0 | 0 |
entailment
|
((a|a)&((u|((b|r)>n))&(r|(n&j))))
|
(~((((a|j)|u)&(a|~(j))))>(s>a))
| 1 | 1 | 0 | 0 |
entailment
|
(((j&h)>(u|x))&(~((s>(b>a)))|o))
|
(~((((a|j)|u)&(a|~(j))))>(s>a))
| 0 | 1 | 1 | 0 |
not entailment
|
((a|a)&((u|((b|r)>n))&(r|(n&j))))
|
(~((j|j))|(r|((o|b)&j)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(u)|(a&(j&(u|h))))&(x|a))
|
(((~(((a&u)|j))|j)|b)|(r>((b|(x|s))>x)))
| 1 | 0 | 0 | 0 |
entailment
|
(((o&h)>(r>n))&~(h))
|
(~(h)|~((b>(x&b))))
| 1 | 1 | 0 | 0 |
entailment
|
((~(u)|(a&(j&(u|h))))&(x|a))
|
(~(h)|~((b>(x&b))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((o&h)>(r>n))&~(h))
|
(((~(((a&u)|j))|j)|b)|(r>((b|(x|s))>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(a))
|
(h>a)
| 1 | 1 | 0 | 0 |
entailment
|
~(((r&s)>((j>x)|a)))
|
(~(((a&u)>(u&b)))|(j>r))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(a))
|
(~(((a&u)>(u&b)))|(j>r))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&s)>((j>x)|a)))
|
(h>a)
| 0 | 1 | 0 | 0 |
not entailment
|
~((n|~(~(h))))
|
((~(r)|(h|u))>(h>(u|r)))
| 1 | 0 | 0 | 0 |
entailment
|
(o&~(~((a&((a>o)&((j|n)>r))))))
|
(a&(n|~((b&n))))
| 1 | 1 | 0 | 0 |
entailment
|
~((n|~(~(h))))
|
(a&(n|~((b&n))))
| 0 | 1 | 0 | 0 |
not entailment
|
(o&~(~((a&((a>o)&((j|n)>r))))))
|
((~(r)|(h|u))>(h>(u|r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(s)|(o|~(o)))&~((j&s)))&o))
|
(~(((o&o)>~(a)))>~(~(s)))
| 1 | 1 | 0 | 0 |
entailment
|
((u|x)&(r&((n&~((b|b)))&r)))
|
(~((a&b))>((s&u)>(~((r|j))|r)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~(s)|(o|~(o)))&~((j&s)))&o))
|
(~((a&b))>((s&u)>(~((r|j))|r)))
| 0 | 1 | 0 | 0 |
not entailment
|
((u|x)&(r&((n&~((b|b)))&r)))
|
(~(((o&o)>~(a)))>~(~(s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((j>o)&(s&n)))&~(x))
|
~(x)
| 1 | 1 | 1 | 1 |
entailment
|
~(((u&(h&o))|((h|u)|(b>(s&(b&b))))))
|
~(~(b))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((j>o)&(s&n)))&~(x))
|
~(~(b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u&(h&o))|((h|u)|(b>(s&(b&b))))))
|
~(x)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~((r&(s&n)))&(x&n))))
|
(b>((s|x)>(~(u)|x)))
| 1 | 1 | 0 | 0 |
entailment
|
(a&r)
|
(~((a|o))>(((j&r)&b)|o))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~((r&(s&n)))&(x&n))))
|
(~((a|o))>(((j&r)&b)|o))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&r)
|
(b>((s|x)>(~(u)|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(b)|j))
|
(((r|r)|x)|((o>(a|a))>(b|b)))
| 1 | 0 | 0 | 0 |
entailment
|
(((s>a)|(j>(a&(o>h))))&h)
|
(((o&s)&r)|(~(x)>h))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(b)|j))
|
(((o&s)&r)|(~(x)>h))
| 0 | 0 | 0 | 0 |
not entailment
|
(((s>a)|(j>(a&(o>h))))&h)
|
(((r|r)|x)|((o>(a|a))>(b|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&r)
|
(((~(u)&~(o))&(~(o)|(s>s)))>(h>(r|n)))
| 1 | 0 | 0 | 0 |
entailment
|
~((s>o))
|
(~(o)|((u&r)|u))
| 1 | 0 | 0 | 0 |
entailment
|
(b&r)
|
(~(o)|((u&r)|u))
| 0 | 0 | 0 | 0 |
not entailment
|
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