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 |
|---|---|---|---|---|---|---|
((((w|j)>s)|v)&~((d|s)))
|
(j&((v|~((t&h)))|w))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r>e))
|
((j|((j>d)&(~(e)|h)))|~((~(s)>s)))
| 1 | 0 | 0 | 0 |
entailment
|
((v|((d|r)&(r|(v&e))))&~(w))
|
((w>(h|(s&j)))|(r&((e>w)>v)))
| 1 | 1 | 0 | 0 |
entailment
|
~((r>e))
|
((w>(h|(s&j)))|(r&((e>w)>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
((v|((d|r)&(r|(v&e))))&~(w))
|
((j|((j>d)&(~(e)|h)))|~((~(s)>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((e|t)|~(t))>(j&h))&~(v))
|
(~(~(((e&r)&(~(s)>(r>r)))))|j)
| 1 | 0 | 0 | 0 |
entailment
|
~((e>((v>j)|(d|(~((w|w))>~(v))))))
|
~(((d|(e>d))&j))
| 1 | 1 | 1 | 1 |
entailment
|
((((e|t)|~(t))>(j&h))&~(v))
|
~(((d|(e>d))&j))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>((v>j)|(d|(~((w|w))>~(v))))))
|
(~(~(((e&r)&(~(s)>(r>r)))))|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(e)>e)>~(e)))
|
(~(e)>e)
| 1 | 1 | 1 | 1 |
entailment
|
((e>~(e))&(x|e))
|
(e>~((((e|(x>~(x)))|~((x>x)))|x)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((~(e)>e)>~(e)))
|
(e>~((((e|(x>~(x)))|~((x>x)))|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e>~(e))&(x|e))
|
(~(e)>e)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((x&(e&e))))
|
((x&x)&x)
| 1 | 1 | 1 | 1 |
entailment
|
~(e)
|
((x&(x&e))>~(x))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((x&(e&e))))
|
((x&(x&e))>~(x))
| 0 | 1 | 1 | 0 |
not entailment
|
~(e)
|
((x&x)&x)
| 0 | 0 | 0 | 0 |
not entailment
|
(e&((x>x)>~(x)))
|
((e&x)|e)
| 1 | 1 | 1 | 1 |
entailment
|
(x|x)
|
((e|x)&(x&x))
| 1 | 0 | 0 | 0 |
entailment
|
(e&((x>x)>~(x)))
|
((e|x)&(x&x))
| 0 | 1 | 1 | 1 |
not entailment
|
(x|x)
|
((e&x)|e)
| 0 | 0 | 0 | 0 |
not entailment
|
((x>(e>x))>e)
|
((e>(e>e))&(x|e))
| 1 | 0 | 1 | 0 |
entailment
|
~((e|e))
|
~(((e&x)&x))
| 1 | 0 | 0 | 0 |
entailment
|
((x>(e>x))>e)
|
~(((e&x)&x))
| 0 | 1 | 1 | 0 |
not entailment
|
~((e|e))
|
((e>(e>e))&(x|e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((e>(x>x))>~((x|((x&~(e))&(e&x))))))
|
~(((x|e)>~((e|x))))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(~(x))&~(e)))
|
((x>e)|(e&e))
| 1 | 1 | 1 | 1 |
entailment
|
~(((e>(x>x))>~((x|((x&~(e))&(e&x))))))
|
((x>e)|(e&e))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(~(x))&~(e)))
|
~(((x|e)>~((e|x))))
| 0 | 1 | 1 | 0 |
not entailment
|
((x|(x|e))&x)
|
(((~((e&e))|e)|~(~(e)))&x)
| 1 | 0 | 1 | 0 |
entailment
|
~(((~(x)|((x&(x|e))|((x>e)&e)))&e))
|
(~(e)|((e>(e>e))>~(((x&e)|x))))
| 1 | 1 | 1 | 0 |
entailment
|
((x|(x|e))&x)
|
(~(e)|((e>(e>e))>~(((x&e)|x))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((~(x)|((x&(x|e))|((x>e)&e)))&e))
|
(((~((e&e))|e)|~(~(e)))&x)
| 0 | 1 | 1 | 0 |
not entailment
|
((e>e)>~((~(x)|(e&(e&x)))))
|
(~((~((e|~(x)))>e))&~(e))
| 1 | 1 | 1 | 1 |
entailment
|
((x>(x&e))&x)
|
~((~((e|e))&x))
| 1 | 0 | 1 | 1 |
entailment
|
((e>e)>~((~(x)|(e&(e&x)))))
|
~((~((e|e))&x))
| 0 | 1 | 1 | 1 |
not entailment
|
((x>(x&e))&x)
|
(~((~((e|~(x)))>e))&~(e))
| 0 | 0 | 1 | 0 |
not entailment
|
(x&~((~(e)>(x>e))))
|
(~(e)|~(x))
| 1 | 1 | 1 | 0 |
entailment
|
((e&x)&(e|x))
|
(((e&e)|e)&~(~(x)))
| 1 | 0 | 1 | 1 |
entailment
|
(x&~((~(e)>(x>e))))
|
(((e&e)|e)&~(~(x)))
| 0 | 1 | 1 | 0 |
not entailment
|
((e&x)&(e|x))
|
(~(e)|~(x))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~(x)>e))>((x>x)>e))
|
((x|x)|(~(~(e))|x))
| 1 | 1 | 1 | 1 |
entailment
|
~((x|x))
|
(~(x)|(x&e))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(x)>e))>((x>x)>e))
|
(~(x)|(x&e))
| 0 | 1 | 1 | 1 |
not entailment
|
~((x|x))
|
((x|x)|(~(~(e))|x))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&x)|x)
|
(~((x>(~(x)&(x>x))))|(e&x))
| 1 | 0 | 1 | 0 |
entailment
|
~(((~(e)|(x&(e|e)))|x))
|
((x&e)|(~(x)&e))
| 1 | 1 | 1 | 0 |
entailment
|
((e&x)|x)
|
((x&e)|(~(x)&e))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((~(e)|(x&(e|e)))|x))
|
(~((x>(~(x)&(x>x))))|(e&x))
| 0 | 0 | 1 | 0 |
not entailment
|
(e>x)
|
(x|~(e))
| 1 | 0 | 1 | 1 |
entailment
|
((x>(~((x>x))&(e>(e>e))))&e)
|
(x>(e|e))
| 1 | 1 | 1 | 1 |
entailment
|
(e>x)
|
(x>(e|e))
| 0 | 0 | 1 | 0 |
not entailment
|
((x>(~((x>x))&(e>(e>e))))&e)
|
(x|~(e))
| 0 | 1 | 1 | 1 |
not entailment
|
((((x&x)|e)>(x&e))&(x&e))
|
(~(~((e|e)))&x)
| 1 | 1 | 1 | 1 |
entailment
|
(e>~(x))
|
(~(e)|~((e>x)))
| 1 | 0 | 1 | 0 |
entailment
|
((((x&x)|e)>(x&e))&(x&e))
|
(~(e)|~((e>x)))
| 0 | 1 | 1 | 1 |
not entailment
|
(e>~(x))
|
(~(~((e|e)))&x)
| 0 | 0 | 1 | 0 |
not entailment
|
(e&e)
|
(x>~(~(((e&(e>e))&x))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((e|x)>e)|(x>e)))
|
(((e&(e&x))&e)|~((~((e|(x&x)))|~(x))))
| 1 | 0 | 1 | 1 |
entailment
|
(e&e)
|
(((e&(e&x))&e)|~((~((e|(x&x)))|~(x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((e|x)>e)|(x>e)))
|
(x>~(~(((e&(e>e))&x))))
| 0 | 0 | 1 | 0 |
not entailment
|
((x>(((~(e)&e)|x)&e))&x)
|
(~(~(~(e)))>(e&(x>~(x))))
| 1 | 0 | 1 | 1 |
entailment
|
~((x&((~(x)|x)&((x&x)|e))))
|
~((x&(x&e)))
| 1 | 1 | 1 | 1 |
entailment
|
((x>(((~(e)&e)|x)&e))&x)
|
~((x&(x&e)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((x&((~(x)|x)&((x&x)|e))))
|
(~(~(~(e)))>(e&(x>~(x))))
| 0 | 1 | 1 | 0 |
not entailment
|
(x|((x&(e>x))|e))
|
((x&x)|((e>e)>e))
| 1 | 1 | 1 | 1 |
entailment
|
~(e)
|
((x|e)>(((e>(x&e))>e)>((e>e)>x)))
| 1 | 0 | 0 | 0 |
entailment
|
(x|((x&(e>x))|e))
|
((x|e)>(((e>(x&e))>e)>((e>e)>x)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(e)
|
((x&x)|((e>e)>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(x|e)
|
~(~((x|(e&(e|x)))))
| 1 | 0 | 1 | 1 |
entailment
|
(~(((x|(e|(e|x)))|x))|e)
|
(((x&x)>~(~(e)))|~((~((e>x))|~(e))))
| 1 | 0 | 1 | 0 |
entailment
|
(x|e)
|
(((x&x)>~(~(e)))|~((~((e>x))|~(e))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((x|(e|(e|x)))|x))|e)
|
~(~((x|(e&(e|x)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(k|((y|(k>x))>j))
|
((~((k|j))&y)>~(((x|(x&f))|(k&~(j)))))
| 1 | 0 | 0 | 0 |
entailment
|
((f&x)|f)
|
((~((x>f))>(~(k)&(j|f)))|~((j|(y>f))))
| 1 | 0 | 0 | 0 |
entailment
|
(k|((y|(k>x))>j))
|
((~((x>f))>(~(k)&(j|f)))|~((j|(y>f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&x)|f)
|
((~((k|j))&y)>~(((x|(x&f))|(k&~(j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((x>(j|k))>(f>y)))
|
~(~((f|~(k))))
| 1 | 1 | 1 | 0 |
entailment
|
((k&y)|(f&~(((j|k)|x))))
|
((~(((x|(f>f))>y))&k)>(y|((x&x)>~(k))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((x>(j|k))>(f>y)))
|
((~(((x|(f>f))>y))&k)>(y|((x&x)>~(k))))
| 0 | 0 | 1 | 0 |
not entailment
|
((k&y)|(f&~(((j|k)|x))))
|
~(~((f|~(k))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~((((j&k)&(k&f))>~(f)))|(~((x|f))&x))
|
(k&(x>f))
| 1 | 1 | 1 | 1 |
entailment
|
((f|x)&~(((y>(f&~(k)))>(k|k))))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
(~((((j&k)&(k&f))>~(f)))|(~((x|f))&x))
|
~(k)
| 0 | 1 | 1 | 0 |
not entailment
|
((f|x)&~(((y>(f&~(k)))>(k|k))))
|
(k&(x>f))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((j>(x&(~(j)|f)))))
|
((j&y)>(~(f)>(k>x)))
| 1 | 1 | 0 | 0 |
entailment
|
(k|(k&x))
|
(k|(x|f))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((j>(x&(~(j)|f)))))
|
(k|(x|f))
| 0 | 1 | 0 | 0 |
not entailment
|
(k|(k&x))
|
((j&y)>(~(f)>(k>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&j)&((j|y)&x))
|
(((x>~(x))>x)|f)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((k|f)&(x>f))>j)>(y>(k|j))))
|
~(~(~(k)))
| 1 | 1 | 1 | 1 |
entailment
|
((k&j)&((j|y)&x))
|
~(~(~(k)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((k|f)&(x>f))>j)>(y>(k|j))))
|
(((x>~(x))>x)|f)
| 0 | 1 | 1 | 0 |
not entailment
|
((x>x)>~(((f>k)|x)))
|
~(((~((k|(y&x)))&j)&x))
| 1 | 0 | 0 | 0 |
entailment
|
((x|(j>k))&j)
|
~(~(((y|(k&k))>j)))
| 1 | 0 | 0 | 0 |
entailment
|
((x>x)>~(((f>k)|x)))
|
~(~(((y|(k&k))>j)))
| 0 | 1 | 0 | 0 |
not entailment
|
((x|(j>k))&j)
|
~(((~((k|(y&x)))&j)&x))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(j)|((~(f)>y)&~((j>y))))&y)
|
((~(~(~(x)))|~((j&(f>(k>x)))))|(j>y))
| 1 | 0 | 0 | 0 |
entailment
|
(f&j)
|
(j&~((~(f)&(x&((f&j)|k)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(j)|((~(f)>y)&~((j>y))))&y)
|
(j&~((~(f)&(x&((f&j)|k)))))
| 0 | 1 | 0 | 0 |
not entailment
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.