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 |
|---|---|---|---|---|---|---|
((~(e)|(e>e))&~((e&(e&e))))
|
(e&(((e>(e&e))>e)&(~((e|e))>e)))
| 0 | 0 | 1 | 1 |
not entailment
|
(e>~(e))
|
~(((e|(((e&e)|e)|e))&(e|(e&e))))
| 1 | 0 | 1 | 1 |
entailment
|
((~(~(e))|~(((e>e)|~((e&e)))))&(e>e))
|
(e&((e>e)>(e&e)))
| 1 | 1 | 1 | 1 |
entailment
|
(e>~(e))
|
(e&((e>e)>(e&e)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(~(e))|~(((e>e)|~((e&e)))))&(e>e))
|
~(((e|(((e&e)|e)|e))&(e|(e&e))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(e)
|
~((e&e))
| 1 | 0 | 1 | 1 |
entailment
|
(e|~(~((e|e))))
|
((e&e)|((e>(e&(e|e)))&(e&(e>e))))
| 1 | 0 | 1 | 0 |
entailment
|
~(e)
|
((e&e)|((e>(e&(e|e)))&(e&(e>e))))
| 0 | 0 | 1 | 0 |
not entailment
|
(e|~(~((e|e))))
|
~((e&e))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((e&e)&~(e)))>~(e))
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
((e>(e&(((e>e)&e)|~((e|e)))))&e)
|
(~(e)>((e&e)&(~(e)&e)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((e&e)&~(e)))>~(e))
|
(~(e)>((e&e)&(~(e)&e)))
| 0 | 1 | 1 | 1 |
not entailment
|
((e>(e&(((e>e)&e)|~((e|e)))))&e)
|
~(e)
| 0 | 1 | 1 | 1 |
not entailment
|
~((i>~(y)))
|
(y&((y>y)|(i>i)))
| 1 | 0 | 1 | 0 |
entailment
|
((y|i)&~(~((x|x))))
|
~(((y|i)&(((x|(x>x))|y)&(y&~((y&x))))))
| 1 | 0 | 1 | 0 |
entailment
|
~((i>~(y)))
|
~(((y|i)&(((x|(x>x))|y)&(y&~((y&x))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|i)&~(~((x|x))))
|
(y&((y>y)|(i>i)))
| 0 | 1 | 1 | 0 |
not entailment
|
((x>(x&y))&((y>y)>i))
|
(x|i)
| 1 | 1 | 1 | 1 |
entailment
|
(x|y)
|
(i>(~(y)>(x|x)))
| 1 | 0 | 0 | 0 |
entailment
|
((x>(x&y))&((y>y)>i))
|
(i>(~(y)>(x|x)))
| 0 | 1 | 1 | 0 |
not entailment
|
(x|y)
|
(x|i)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(x)>(x|(((x>i)>(i|i))|(i&y))))>i)
|
~((~(~(~(i)))&x))
| 1 | 1 | 1 | 1 |
entailment
|
~((y|~(x)))
|
(~(((i&x)|(y|i)))|x)
| 1 | 0 | 0 | 0 |
entailment
|
((~(x)>(x|(((x>i)>(i|i))|(i&y))))>i)
|
(~(((i&x)|(y|i)))|x)
| 0 | 1 | 1 | 0 |
not entailment
|
~((y|~(x)))
|
~((~(~(~(i)))&x))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&x)&(~(i)|i))
|
(x&(x|(~(i)&(i|i))))
| 1 | 0 | 1 | 1 |
entailment
|
~((((y|x)|(y&(x&i)))|i))
|
(i|(y>(i&x)))
| 1 | 1 | 1 | 0 |
entailment
|
((y&x)&(~(i)|i))
|
(i|(y>(i&x)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((y|x)|(y&(x&i)))|i))
|
(x&(x|(~(i)&(i|i))))
| 0 | 1 | 1 | 0 |
not entailment
|
((x&y)|(y&i))
|
(((i&i)|(y>x))>(((i&i)&y)|y))
| 1 | 0 | 1 | 0 |
entailment
|
(~((y|x))|~(((x|y)|(i&x))))
|
(y>i)
| 1 | 1 | 1 | 0 |
entailment
|
((x&y)|(y&i))
|
(y>i)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((y|x))|~(((x|y)|(i&x))))
|
(((i&i)|(y>x))>(((i&i)&y)|y))
| 0 | 1 | 1 | 0 |
not entailment
|
(i|(y&(y>x)))
|
(y|i)
| 1 | 1 | 1 | 1 |
entailment
|
~((y&(((y|y)|((y|i)>i))|(y&(i&x)))))
|
((((x>x)>y)&~(i))>~(y))
| 1 | 1 | 1 | 0 |
entailment
|
(i|(y&(y>x)))
|
((((x>x)>y)&~(i))>~(y))
| 0 | 0 | 1 | 0 |
not entailment
|
~((y&(((y|y)|((y|i)>i))|(y&(i&x)))))
|
(y|i)
| 0 | 1 | 1 | 1 |
not entailment
|
(x>~((x>(y|x))))
|
(((x&i)&(y>i))|(x>y))
| 1 | 0 | 0 | 0 |
entailment
|
~(((y|y)|y))
|
~(~((x|~(((y&i)&(x|i))))))
| 1 | 0 | 0 | 0 |
entailment
|
(x>~((x>(y|x))))
|
~(~((x|~(((y&i)&(x|i))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((y|y)|y))
|
(((x&i)&(y>i))|(x>y))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(x>(y|x)))
|
(((y>i)|y)&(((x|i)>(i|i))>i))
| 1 | 0 | 1 | 0 |
entailment
|
~((y&~(~(y))))
|
((((i|i)>y)&i)>x)
| 1 | 1 | 0 | 0 |
entailment
|
(i&(x>(y|x)))
|
((((i|i)>y)&i)>x)
| 0 | 0 | 1 | 0 |
not entailment
|
~((y&~(~(y))))
|
(((y>i)|y)&(((x|i)>(i|i))>i))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((x>(x&y)))&(i>(y>x)))
|
(((x|i)>x)&(y>i))
| 1 | 1 | 1 | 0 |
entailment
|
((~((y>i))|y)&i)
|
~(~((i&(x>((x&i)|y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((x>(x&y)))&(i>(y>x)))
|
~(~((i&(x>((x&i)|y)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((y>i))|y)&i)
|
(((x|i)>x)&(y>i))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((y|x)&((y>(x>((i&~(~(y)))>i)))|y)))
|
(~((y|y))|(x|x))
| 1 | 1 | 1 | 1 |
entailment
|
(~((y>x))&(~(y)|i))
|
(~(((x|(x|y))&(y&i)))>y)
| 1 | 0 | 1 | 0 |
entailment
|
~(((y|x)&((y>(x>((i&~(~(y)))>i)))|y)))
|
(~(((x|(x|y))&(y&i)))>y)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((y>x))&(~(y)|i))
|
(~((y|y))|(x|x))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((i>y))&i)
|
~((x&(x&y)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(y))
|
((~(((i&i)&(i|x)))|(i>y))|~((i|x)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((i>y))&i)
|
((~(((i&i)&(i|x)))|(i>y))|~((i|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(y))
|
~((x&(x&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&(x&x))&~(y))
|
(((x|~((x>x)))&~((y&i)))|(y|((i&x)&y)))
| 1 | 0 | 0 | 0 |
entailment
|
((x>y)&~(i))
|
((y&i)|((y>i)>~((x|(y&(i>x))))))
| 1 | 0 | 1 | 0 |
entailment
|
((x&(x&x))&~(y))
|
((y&i)|((y>i)>~((x|(y&(i>x))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x>y)&~(i))
|
(((x|~((x>x)))&~((y&i)))|(y|((i&x)&y)))
| 0 | 0 | 1 | 0 |
not entailment
|
(j&~(o))
|
(((((j|(u|g))|o)&g)>((~((o|o))&u)|j))|u)
| 1 | 0 | 0 | 0 |
entailment
|
(e&e)
|
(((g|o)|(u&u))|(e|o))
| 1 | 0 | 0 | 0 |
entailment
|
(j&~(o))
|
(((g|o)|(u&u))|(e|o))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&e)
|
(((((j|(u|g))|o)&g)>((~((o|o))&u)|j))|u)
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(e)&~(g))&(o>~(((e&u)|(o>g)))))&o)
|
(g>((j&o)&((g>o)|g)))
| 1 | 1 | 0 | 0 |
entailment
|
((e&o)&u)
|
(((o>u)>e)&e)
| 1 | 0 | 1 | 0 |
entailment
|
(((~(e)&~(g))&(o>~(((e&u)|(o>g)))))&o)
|
(((o>u)>e)&e)
| 0 | 1 | 1 | 0 |
not entailment
|
((e&o)&u)
|
(g>((j&o)&((g>o)|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((o|(u|e))&(~(u)>u))))
|
(e>((e|(e>o))>u))
| 1 | 1 | 1 | 0 |
entailment
|
((((o&j)&u)|j)&((o&(j&g))&(g&o)))
|
(j|(j&e))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((o|(u|e))&(~(u)>u))))
|
(j|(j&e))
| 0 | 1 | 0 | 0 |
not entailment
|
((((o&j)&u)|j)&((o&(j&g))&(g&o)))
|
(e>((e|(e>o))>u))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((u>o))>e)&~((e|e)))&((o|u)&(g>u)))
|
(g>u)
| 1 | 1 | 1 | 1 |
entailment
|
(((o&e)&((e>e)>g))&~(u))
|
(j>~(~(~(u))))
| 1 | 1 | 0 | 0 |
entailment
|
(((~((u>o))>e)&~((e|e)))&((o|u)&(g>u)))
|
(j>~(~(~(u))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((o&e)&((e>e)>g))&~(u))
|
(g>u)
| 0 | 1 | 1 | 0 |
not entailment
|
(((g>u)&(~(~(~(e)))|((u|e)&~(g))))&g)
|
(((u|(o&(g&u)))&j)>g)
| 1 | 1 | 0 | 0 |
entailment
|
((e|(e|~((g&o))))&e)
|
((~(j)&o)>((u>(o&u))&e))
| 1 | 0 | 0 | 0 |
entailment
|
(((g>u)&(~(~(~(e)))|((u|e)&~(g))))&g)
|
((~(j)&o)>((u>(o&u))&e))
| 0 | 1 | 0 | 0 |
not entailment
|
((e|(e|~((g&o))))&e)
|
(((u|(o&(g&u)))&j)>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((j>g))&~((e>u)))
|
(~(u)|o)
| 1 | 1 | 0 | 0 |
entailment
|
((u&e)|~((~(((e&e)&e))>(e|j))))
|
(e>~(~(u)))
| 1 | 1 | 1 | 1 |
entailment
|
(~((j>g))&~((e>u)))
|
(e>~(~(u)))
| 0 | 1 | 1 | 0 |
not entailment
|
((u&e)|~((~(((e&e)&e))>(e|j))))
|
(~(u)|o)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&((j&g)|e))
|
(~(j)>g)
| 1 | 1 | 1 | 1 |
entailment
|
~(((~((g|j))|((j>e)|j))&~(o)))
|
(e>(g>(~((j&(e&e)))>o)))
| 1 | 1 | 1 | 0 |
entailment
|
(g&((j&g)|e))
|
(e>(g>(~((j&(e&e)))>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((g|j))|((j>e)|j))&~(o)))
|
(~(j)>g)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((u&u))>~(~(u)))
|
(((o|o)|(j&(e>o)))|(((j|(g|o))|u)|g))
| 1 | 0 | 0 | 0 |
entailment
|
~((g&(j|((u|(o&((e>j)|e)))&(u|(u>j))))))
|
((g&o)>(~(u)&j))
| 1 | 1 | 1 | 0 |
entailment
|
(~((u&u))>~(~(u)))
|
((g&o)>(~(u)&j))
| 0 | 1 | 0 | 0 |
not entailment
|
~((g&(j|((u|(o&((e>j)|e)))&(u|(u>j))))))
|
(((o|o)|(j&(e>o)))|(((j|(g|o))|u)|g))
| 0 | 1 | 1 | 0 |
not entailment
|
(((j>g)>(g|~(e)))&(e&(g&g)))
|
(j|~(~((u|g))))
| 1 | 1 | 0 | 0 |
entailment
|
((o>~((~(j)&(g&((e|j)>e)))))>o)
|
(o|(u&j))
| 1 | 1 | 0 | 0 |
entailment
|
(((j>g)>(g|~(e)))&(e&(g&g)))
|
(o|(u&j))
| 0 | 1 | 0 | 0 |
not entailment
|
((o>~((~(j)&(g&((e|j)>e)))))>o)
|
(j|~(~((u|g))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((e>(~(j)>~((o|j)))))))
|
(((u|~(o))>((o&e)|g))|~((j>e)))
| 1 | 1 | 0 | 0 |
entailment
|
((j>(j>o))&((e|u)>~(u)))
|
(g|(~(u)&((u>u)|g)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((e>(~(j)>~((o|j)))))))
|
(g|(~(u)&((u>u)|g)))
| 0 | 1 | 0 | 0 |
not entailment
|
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