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|y))
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((o>g)&g)))
|
~(y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((n|y))
|
((a&~(j))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
((d|y)&((b>b)&b))
|
(y|((~(t)&(b>y))>b))
| 1 | 0 | 0 | 0 |
entailment
|
~(((r>r)>(r|~((b>r)))))
|
~(b)
| 1 | 1 | 1 | 1 |
entailment
|
((d|y)&((b>b)&b))
|
~(b)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((r>r)>(r|~((b>r)))))
|
(y|((~(t)&(b>y))>b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t&~((b&(r>y))))>~(r)))
|
(r>t)
| 1 | 1 | 1 | 0 |
entailment
|
(((d&y)|(d&y))&((((y|d)&b)&b)&r))
|
((y|r)>b)
| 1 | 1 | 1 | 0 |
entailment
|
~(((t&~((b&(r>y))))>~(r)))
|
((y|r)>b)
| 0 | 1 | 1 | 0 |
not entailment
|
(((d&y)|(d&y))&((((y|d)&b)&b)&r))
|
(r>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t|b)|b))
|
((~(r)>((b&r)>(y&b)))&((r|d)|~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~(~((b|(t>r)))))))
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
~(((t|b)|b))
|
~(r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~(~((b|(t>r)))))))
|
((~(r)>((b&r)>(y&b)))&((r|d)|~(t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((y>d)|(b|t))>(y&r)))&r)
|
((d>r)>((y&(d>b))>~((b>r))))
| 1 | 1 | 1 | 0 |
entailment
|
((r|r)&((r|r)&(~(~(~((t|t))))&(d|t))))
|
(d|d)
| 1 | 1 | 1 | 1 |
entailment
|
(~((((y>d)|(b|t))>(y&r)))&r)
|
(d|d)
| 0 | 1 | 1 | 1 |
not entailment
|
((r|r)&((r|r)&(~(~(~((t|t))))&(d|t))))
|
((d>r)>((y&(d>b))>~((b>r))))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&y)
|
((((y>~((d&y)))&y)|(t|t))|((b&y)|b))
| 1 | 0 | 0 | 0 |
entailment
|
((~((b|b))&(b>((y&t)>b)))&~(~(d)))
|
(((~((r|b))>r)|((t&b)>(d>y)))&d)
| 1 | 1 | 0 | 0 |
entailment
|
(t&y)
|
(((~((r|b))>r)|((t&b)>(d>y)))&d)
| 0 | 0 | 0 | 0 |
not entailment
|
((~((b|b))&(b>((y&t)>b)))&~(~(d)))
|
((((y>~((d&y)))&y)|(t|t))|((b&y)|b))
| 0 | 1 | 1 | 0 |
not entailment
|
~((d>b))
|
(((d|(r>(d|y)))>d)>d)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(~((r&b)))|(t>d)))&~((d&d)))
|
((~(r)&(b|t))|(r&t))
| 1 | 1 | 1 | 0 |
entailment
|
~((d>b))
|
((~(r)&(b|t))|(r&t))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(~((r&b)))|(t>d)))&~((d&d)))
|
(((d|(r>(d|y)))>d)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((r>b)>b)&((b&y)&y)))
|
((((y&b)>d)|(d&(r&d)))|(r&d))
| 1 | 0 | 0 | 0 |
entailment
|
(((b|b)|t)&((b>(t|r))&r))
|
(((t|~(y))>(r|(y>t)))&(r>(b|((y&b)|t))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((r>b)>b)&((b&y)&y)))
|
(((t|~(y))>(r|(y>t)))&(r>(b|((y&b)|t))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b|b)|t)&((b>(t|r))&r))
|
((((y&b)>d)|(d&(r&d)))|(r&d))
| 0 | 0 | 0 | 0 |
not entailment
|
~(b)
|
~(~(~(((b&(d|r))&(r&d)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((d>r)))&(t&r))
|
(~((~((~(t)&r))>(~((t|r))|~(r))))|d)
| 1 | 0 | 1 | 0 |
entailment
|
~(b)
|
(~((~((~(t)&r))>(~((t|r))|~(r))))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((d>r)))&(t&r))
|
~(~(~(((b&(d|r))&(r&d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&~(((((y&t)&r)&(b>d))&d)))
|
(~((r|(b|r)))>t)
| 1 | 1 | 1 | 0 |
entailment
|
~((y|t))
|
((y>(r&t))|~(~((d&y))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&~(((((y&t)&r)&(b>d))&d)))
|
((y>(r&t))|~(~((d&y))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((y|t))
|
(~((r|(b|r)))>t)
| 0 | 0 | 0 | 0 |
not entailment
|
(((((y&y)&t)>b)&~((t|~(b))))&d)
|
(((b&(t&d))>t)>(b|t))
| 1 | 1 | 1 | 0 |
entailment
|
~(((t>b)>r))
|
(~(((r&d)&~(((t&r)|y))))&(r>(b|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(((((y&y)&t)>b)&~((t|~(b))))&d)
|
(~(((r&d)&~(((t&r)|y))))&(r>(b|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t>b)>r))
|
(((b&(t&d))>t)>(b|t))
| 0 | 0 | 0 | 0 |
not entailment
|
((((d>d)|r)|(r&d))&((~(t)|(b&b))&b))
|
(r|((b|b)|b))
| 1 | 1 | 1 | 1 |
entailment
|
~((y|(t|((d|d)>b))))
|
(y|d)
| 1 | 1 | 1 | 0 |
entailment
|
((((d>d)|r)|(r&d))&((~(t)|(b&b))&b))
|
(y|d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|(t|((d|d)>b))))
|
(r|((b|b)|b))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&y)&((y|b)>t))
|
((r>t)>(b|t))
| 1 | 1 | 0 | 0 |
entailment
|
((t|~(((~(t)&((~(t)&y)|b))|b)))&(d&d))
|
(d&(~(t)|~(((d&(r>b))&~(t)))))
| 1 | 1 | 0 | 0 |
entailment
|
((t&y)&((y|b)>t))
|
(d&(~(t)|~(((d&(r>b))&~(t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t|~(((~(t)&((~(t)&y)|b))|b)))&(d&d))
|
((r>t)>(b|t))
| 0 | 1 | 0 | 0 |
not entailment
|
(((b&d)&(r&y))|(((~(r)&t)&((b>r)>b))&r))
|
((b|~(((b&~((d&t)))&y)))&(t>(y&b)))
| 1 | 1 | 1 | 0 |
entailment
|
((b>t)&t)
|
((t>((d&d)&~(b)))>t)
| 1 | 0 | 0 | 0 |
entailment
|
(((b&d)&(r&y))|(((~(r)&t)&((b>r)>b))&r))
|
((t>((d&d)&~(b)))>t)
| 0 | 1 | 1 | 0 |
not entailment
|
((b>t)&t)
|
((b|~(((b&~((d&t)))&y)))&(t>(y&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(r)>((d&b)>y)))
|
(b&(((t|b)>d)|(~(d)>t)))
| 1 | 0 | 0 | 0 |
entailment
|
((t&(t|(~(d)>y)))&((r&(y|t))|t))
|
((t|(b&r))|y)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(r)>((d&b)>y)))
|
((t|(b&r))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
((t&(t|(~(d)>y)))&((r&(y|t))|t))
|
(b&(((t|b)>d)|(~(d)>t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(r)&(d&(y|b)))
|
(d|((t|b)|t))
| 1 | 1 | 0 | 0 |
entailment
|
(r&(b|y))
|
(r|~(t))
| 1 | 1 | 0 | 0 |
entailment
|
(~(r)&(d&(y|b)))
|
(r|~(t))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&(b|y))
|
(d|((t|b)|t))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((r|d)&d)>((r|y)>(((y>t)>d)>(d&r)))))
|
~(((r>((t|(r|~(y)))>t))&r))
| 1 | 1 | 1 | 0 |
entailment
|
~(((b>~(((t>(y&(r&y)))>~(d))))|(y&d)))
|
(~((((b&(d>(r|t)))&((r|b)|y))|(r|r)))>t)
| 1 | 1 | 1 | 0 |
entailment
|
~((((r|d)&d)>((r|y)>(((y>t)>d)>(d&r)))))
|
(~((((b&(d>(r|t)))&((r|b)|y))|(r|r)))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((b>~(((t>(y&(r&y)))>~(d))))|(y&d)))
|
~(((r>((t|(r|~(y)))>t))&r))
| 0 | 1 | 1 | 0 |
not entailment
|
((((y>(b|d))|(b|d))>(((t&y)&b)>b))>y)
|
(y|y)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((((t|r)>(b|t))&d))>~(d)))
|
~((y&~(r)))
| 1 | 1 | 0 | 0 |
entailment
|
((((y>(b|d))|(b|d))>(((t&y)&b)>b))>y)
|
~((y&~(r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((((t|r)>(b|t))&d))>~(d)))
|
(y|y)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(z)&(n|(i>i)))&g)
|
(~((t|n))>~(z))
| 1 | 1 | 0 | 0 |
entailment
|
(g&~(~((~(i)>z))))
|
(i|z)
| 1 | 1 | 1 | 1 |
entailment
|
((~(z)&(n|(i>i)))&g)
|
(i|z)
| 0 | 1 | 1 | 0 |
not entailment
|
(g&~(~((~(i)>z))))
|
(~((t|n))>~(z))
| 0 | 1 | 0 | 0 |
not entailment
|
(((i&(i&g))|t)&(n&t))
|
(t|i)
| 1 | 1 | 1 | 1 |
entailment
|
((z>z)&~(((z&g)|(g&g))))
|
~(((g&n)&z))
| 1 | 1 | 0 | 0 |
entailment
|
(((i&(i&g))|t)&(n&t))
|
~(((g&n)&z))
| 0 | 1 | 0 | 0 |
not entailment
|
((z>z)&~(((z&g)|(g&g))))
|
(t|i)
| 0 | 1 | 0 | 0 |
not entailment
|
((z|z)&(g&t))
|
(((i|(g&n))>g)|~((((z|t)&z)>t)))
| 1 | 0 | 0 | 0 |
entailment
|
~((g&(z>(i>~(t)))))
|
(~(~(~((z>(i|t)))))|(~((i|i))>(g>i)))
| 1 | 0 | 1 | 0 |
entailment
|
((z|z)&(g&t))
|
(~(~(~((z>(i|t)))))|(~((i|i))>(g>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g&(z>(i>~(t)))))
|
(((i|(g&n))>g)|~((((z|t)&z)>t)))
| 0 | 0 | 0 | 0 |
not entailment
|
((g>n)&((g>z)&g))
|
((~((z>i))|(g>~(t)))>n)
| 1 | 0 | 0 | 0 |
entailment
|
(((z>(i&i))&i)&((n>g)>t))
|
(~(((z|(n|(n>n)))&z))|i)
| 1 | 1 | 1 | 0 |
entailment
|
((g>n)&((g>z)&g))
|
(~(((z|(n|(n>n)))&z))|i)
| 0 | 0 | 0 | 0 |
not entailment
|
(((z>(i&i))&i)&((n>g)>t))
|
((~((z>i))|(g>~(t)))>n)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~(~(~(i)))|z))&~(~((z|(g|t)))))
|
((((~(g)>(t&n))|i)|((n|g)|(i|(n&z))))|t)
| 1 | 1 | 0 | 0 |
entailment
|
(~((t|n))&~((i|(t&g))))
|
~(n)
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(~(~(i)))|z))&~(~((z|(g|t)))))
|
~(n)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((t|n))&~((i|(t&g))))
|
((((~(g)>(t&n))|i)|((n|g)|(i|(n&z))))|t)
| 0 | 0 | 0 | 0 |
not entailment
|
((z&g)&t)
|
(~(g)|~(~(((g>((z&i)&i))|(z>t)))))
| 1 | 0 | 0 | 0 |
entailment
|
((n&n)&(g&n))
|
(~(~((n|i)))|(((i|g)>(g|t))>(z&(z&n))))
| 1 | 0 | 0 | 0 |
entailment
|
((z&g)&t)
|
(~(~((n|i)))|(((i|g)>(g|t))>(z&(z&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
((n&n)&(g&n))
|
(~(g)|~(~(((g>((z&i)&i))|(z>t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((g&i))|(~(i)|n)))
|
~(~(~(~(i))))
| 1 | 1 | 1 | 1 |
entailment
|
(((z>t)|((n>t)|~(~(z))))>~(i))
|
(((t>~(~(g)))&i)>((n&~((n>i)))&t))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((g&i))|(~(i)|n)))
|
(((t>~(~(g)))&i)>((n&~((n>i)))&t))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z>t)|((n>t)|~(~(z))))>~(i))
|
~(~(~(~(i))))
| 0 | 1 | 1 | 0 |
not entailment
|
((i>i)>i)
|
(((g&z)&(z|~(t)))|((i|n)>i))
| 1 | 0 | 0 | 0 |
entailment
|
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