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 |
|---|---|---|---|---|---|---|
(i|~((i|((i|h)>h))))
|
~((((h>h)|((r|r)&r))>h))
| 0 | 0 | 0 | 0 |
not entailment
|
(i|((r|h)&(h&i)))
|
(i|((r>(~(~(~(r)))|(r|h)))&~((r>r))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((r&(h|(h>(r>(r>i)))))>(r&(i|~(h)))))
|
(r|h)
| 1 | 1 | 1 | 1 |
entailment
|
(i|((r|h)&(h&i)))
|
(r|h)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((r&(h|(h>(r>(r>i)))))>(r&(i|~(h)))))
|
(i|((r>(~(~(~(r)))|(r|h)))&~((r>r))))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(u)|((j>u)&~(((u&(u&j))|~(u)))))&u)
|
(u&(u|(u&j)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((j|j)>u)|u))
|
(((u>u)>(((j&j)>u)>j))&(j|(u>~(j))))
| 1 | 0 | 1 | 0 |
entailment
|
((~(u)|((j>u)&~(((u&(u&j))|~(u)))))&u)
|
(((u>u)>(((j&j)>u)>j))&(j|(u>~(j))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((j|j)>u)|u))
|
(u&(u|(u&j)))
| 0 | 1 | 1 | 0 |
not entailment
|
(u&(((j&(j|j))|(u&u))&((u|u)|u)))
|
((u>((u&j)|j))>j)
| 1 | 1 | 1 | 0 |
entailment
|
(~(u)&(~(j)>(u>((u>~(u))|u))))
|
(~((u>j))>j)
| 1 | 1 | 1 | 1 |
entailment
|
(u&(((j&(j|j))|(u&u))&((u|u)|u)))
|
(~((u>j))>j)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(u)&(~(j)>(u>((u>~(u))|u))))
|
((u>((u&j)|j))>j)
| 0 | 1 | 1 | 0 |
not entailment
|
((j>u)>j)
|
((j&((j>(j&j))|u))&(u>(u|u)))
| 1 | 0 | 1 | 0 |
entailment
|
(j>~((~(u)|(j&j))))
|
((~(j)>u)>u)
| 1 | 1 | 1 | 0 |
entailment
|
((j>u)>j)
|
((~(j)>u)>u)
| 0 | 0 | 1 | 0 |
not entailment
|
(j>~((~(u)|(j&j))))
|
((j&((j>(j&j))|u))&(u>(u|u)))
| 0 | 0 | 1 | 0 |
not entailment
|
((j&(j>u))&(~((u&j))>~(j)))
|
~(~((u&((~(u)|u)>(j|j)))))
| 1 | 1 | 1 | 0 |
entailment
|
(((u>(j&u))>((u>u)&j))>~(((j|u)&(j&j))))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
((j&(j>u))&(~((u&j))>~(j)))
|
~(j)
| 0 | 1 | 1 | 1 |
not entailment
|
(((u>(j&u))>((u>u)&j))>~(((j|u)&(j&j))))
|
~(~((u&((~(u)|u)>(j|j)))))
| 0 | 1 | 1 | 1 |
not entailment
|
(u&(j>j))
|
(((u|u)&j)|~(j))
| 1 | 0 | 1 | 1 |
entailment
|
(j|j)
|
(j|j)
| 1 | 1 | 1 | 1 |
entailment
|
(u&(j>j))
|
(j|j)
| 0 | 1 | 1 | 1 |
not entailment
|
(j|j)
|
(((u|u)&j)|~(j))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&(u&u))
|
(~(u)>~(j))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((j&~(u))))
|
((u&~(((j|j)>j)))|~((u|~(j))))
| 1 | 0 | 1 | 0 |
entailment
|
(u&(u&u))
|
((u&~(((j|j)>j)))|~((u|~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((j&~(u))))
|
(~(u)>~(j))
| 0 | 1 | 1 | 0 |
not entailment
|
(j&(j&u))
|
(((u|((j&(u|j))|j))|j)&((j|j)|u))
| 1 | 0 | 1 | 1 |
entailment
|
(u>(~(u)&~(~(j))))
|
(((u&j)&(u>j))>~((((u|j)|j)|u)))
| 1 | 0 | 1 | 0 |
entailment
|
(j&(j&u))
|
(((u&j)&(u>j))>~((((u|j)|j)|u)))
| 0 | 0 | 1 | 0 |
not entailment
|
(u>(~(u)&~(~(j))))
|
(((u|((j&(u|j))|j))|j)&((j|j)|u))
| 0 | 0 | 1 | 0 |
not entailment
|
(((u&(u&(u&j)))>~((j>u)))>u)
|
((u|j)&u)
| 1 | 1 | 1 | 1 |
entailment
|
~((u|u))
|
((u>j)|j)
| 1 | 1 | 0 | 0 |
entailment
|
(((u&(u&(u&j)))>~((j>u)))>u)
|
((u>j)|j)
| 0 | 1 | 1 | 0 |
not entailment
|
~((u|u))
|
((u|j)&u)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&u)
|
(((j|j)&u)&j)
| 1 | 0 | 1 | 1 |
entailment
|
~((((u>j)|u)&u))
|
((j&j)>~((u&j)))
| 1 | 1 | 1 | 1 |
entailment
|
(j&u)
|
((j&j)>~((u&j)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((u>j)|u)&u))
|
(((j|j)&u)&j)
| 0 | 1 | 1 | 0 |
not entailment
|
((u&((j>j)&u))&(j&j))
|
~(~((~((j>~(j)))&~((~(u)&u)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((((j>~(j))>j)&(u>u)))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
((u&((j>j)&u))&(j&j))
|
~(j)
| 0 | 1 | 1 | 1 |
not entailment
|
~((((j>~(j))>j)&(u>u)))
|
~(~((~((j>~(j)))&~((~(u)&u)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(u&u)
|
(u|(((u&(j&u))|(j&u))|~((~(u)>j))))
| 1 | 0 | 0 | 0 |
entailment
|
(((u>j)&j)|(j|j))
|
(u>j)
| 1 | 1 | 1 | 1 |
entailment
|
(u&u)
|
(u>j)
| 0 | 1 | 0 | 0 |
not entailment
|
(((u>j)&j)|(j|j))
|
(u|(((u&(j&u))|(j&u))|~((~(u)>j))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((b>r))&l)
|
(((r&i)>(b&f))|~(~(f)))
| 1 | 0 | 0 | 0 |
entailment
|
(a&i)
|
((f&((x&l)|y))|a)
| 1 | 0 | 0 | 0 |
entailment
|
(~((b>r))&l)
|
((f&((x&l)|y))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
(a&i)
|
(((r&i)>(b&f))|~(~(f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(~(l)>r))
|
(~((((a&r)|(~(f)&f))>f))|(i|(b>(v&b))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(r))
|
((l>r)|((x>v)|r))
| 1 | 0 | 0 | 0 |
entailment
|
(i&(~(l)>r))
|
((l>r)|((x>v)|r))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(r))
|
(~((((a&r)|(~(f)&f))>f))|(i|(b>(v&b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((x&(a&i)))&r)
|
(~((x|v))>r)
| 1 | 1 | 0 | 0 |
entailment
|
(((b&f)&(i&y))&(b&(r>r)))
|
((a>f)&(f|x))
| 1 | 1 | 0 | 0 |
entailment
|
(~((x&(a&i)))&r)
|
((a>f)&(f|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(((b&f)&(i&y))&(b&(r>r)))
|
(~((x|v))>r)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((r&r))>(i|(x|(i|f))))>~((r>x)))
|
~(~(((((x&y)&a)>r)|((x|x)>(b|(i|l))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(v)
|
~((((r|r)&(~(i)>x))&(~(l)&v)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((r&r))>(i|(x|(i|f))))>~((r>x)))
|
~((((r|r)&(~(i)>x))&(~(l)&v)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(v)
|
~(~(((((x&y)&a)>r)|((x|x)>(b|(i|l))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((l>a))&x)&(y&(x>(b>b))))
|
((b&~((y&b)))>(~(a)&a))
| 1 | 1 | 1 | 0 |
entailment
|
((~(l)&b)&f)
|
~(l)
| 1 | 1 | 1 | 1 |
entailment
|
((~((l>a))&x)&(y&(x>(b>b))))
|
~(l)
| 0 | 1 | 1 | 0 |
not entailment
|
((~(l)&b)&f)
|
((b&~((y&b)))>(~(a)&a))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&b)
|
(~(b)>~(~((v|~((r|r))))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(a)|~(l))&~((~(b)>~(~(a)))))
|
(~(~(~(i)))|((b&r)>(i&a)))
| 1 | 1 | 0 | 0 |
entailment
|
(r&b)
|
(~(~(~(i)))|((b&r)>(i&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(a)|~(l))&~((~(b)>~(~(a)))))
|
(~(b)>~(~((v|~((r|r))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r|r)>i))
|
(r|v)
| 1 | 1 | 0 | 0 |
entailment
|
((x&~((r&v)))&(a>((a|v)>~((a|(a|b))))))
|
(v|(((f|b)&(a|v))>((x&(a|a))|(f|f))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((r|r)>i))
|
(v|(((f|b)&(a|v))>((x&(a|a))|(f|f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&~((r&v)))&(a>((a|v)>~((a|(a|b))))))
|
(r|v)
| 0 | 1 | 1 | 0 |
not entailment
|
((x|~(~(i)))>x)
|
(((f>~(i))|~(~((v&(v>v)))))|x)
| 1 | 0 | 0 | 0 |
entailment
|
~(((b>~(f))|((i&a)>~((a&b)))))
|
((~(((r|a)|(y|b)))>(b>r))>((f>b)&(i>b)))
| 1 | 0 | 0 | 0 |
entailment
|
((x|~(~(i)))>x)
|
((~(((r|a)|(y|b)))>(b>r))>((f>b)&(i>b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b>~(f))|((i&a)>~((a&b)))))
|
(((f>~(i))|~(~((v&(v>v)))))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(~((f|f)))))&((r>b)|(b|x)))
|
(v>f)
| 1 | 1 | 0 | 0 |
entailment
|
((((x>i)|x)|(b>a))>~(y))
|
~((~(l)&(f&y)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(~(~((f|f)))))&((r>b)|(b|x)))
|
~((~(l)&(f&y)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((x>i)|x)|(b>a))>~(y))
|
(v>f)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f|x)|a))
|
(x>f)
| 1 | 1 | 1 | 0 |
entailment
|
~((v|~(~(~((i>i))))))
|
((f|~(v))&~(v))
| 1 | 1 | 0 | 0 |
entailment
|
~(((f|x)|a))
|
((f|~(v))&~(v))
| 0 | 0 | 0 | 0 |
not entailment
|
~((v|~(~(~((i>i))))))
|
(x>f)
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|((l&l)>(v|r))))
|
(~((~(f)>a))|l)
| 1 | 1 | 0 | 0 |
entailment
|
~(((v|b)|(((v|a)&f)>(~(x)&i))))
|
~((b|~(((((b&y)|(b&i))>(x>a))|r))))
| 1 | 0 | 0 | 0 |
entailment
|
~((y|((l&l)>(v|r))))
|
~((b|~(((((b&y)|(b&i))>(x>a))|r))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((v|b)|(((v|a)&f)>(~(x)&i))))
|
(~((~(f)>a))|l)
| 0 | 1 | 0 | 0 |
not entailment
|
((x&a)&(i|v))
|
(v>(f|x))
| 1 | 1 | 0 | 0 |
entailment
|
~((i|r))
|
~((r&~((~((l&l))|(~(r)&x)))))
| 1 | 0 | 0 | 0 |
entailment
|
((x&a)&(i|v))
|
~((r&~((~((l&l))|(~(r)&x)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((i|r))
|
(v>(f|x))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((l>~((y&x))))))
|
(((~(~(y))|v)|r)&(((l&x)>l)>x))
| 1 | 0 | 0 | 0 |
entailment
|
(((r&(f&~(a)))&(l|f))&b)
|
~(~((b|(v&f))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((l>~((y&x))))))
|
~(~((b|(v&f))))
| 0 | 1 | 0 | 0 |
not entailment
|
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