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|d)&((j|n)&(t>j)))|((j|d)>d)))
|
((t>((~(d)>t)|(~(n)&((n|j)>~(j)))))&n)
| 0 | 0 | 1 | 0 |
not entailment
|
((n>j)&n)
|
(~(((j>(n|(j&n)))&(j>d)))&((n&j)>(j|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d>~(~(d)))>d)
|
~((~(((t|(d|d))>(d|j)))&t))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j|(t>d))|((n>j)|j)))
|
~(((((t&d)>n)>(n&(t>j)))&(t&t)))
| 1 | 0 | 1 | 0 |
entailment
|
((d>~(~(d)))>d)
|
~(((((t&d)>n)>(n&(t>j)))&(t&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j|(t>d))|((n>j)|j)))
|
~((~(((t|(d|d))>(d|j)))&t))
| 0 | 0 | 1 | 0 |
not entailment
|
((j&n)&~((n>((j>d)&(t&d)))))
|
(n|(d>~(t)))
| 1 | 1 | 1 | 1 |
entailment
|
(d&(j|n))
|
(((((n>t)|(n>(j>t)))|n)&(~(d)&(n&n)))>t)
| 1 | 0 | 0 | 0 |
entailment
|
((j&n)&~((n>((j>d)&(t&d)))))
|
(((((n>t)|(n>(j>t)))|n)&(~(d)&(n&n)))>t)
| 0 | 0 | 1 | 0 |
not entailment
|
(d&(j|n))
|
(n|(d>~(t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(d>t))
|
~(~(((j>(n&d))|(j&t))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~((~(~(n))|t)))|((n&t)|d))&n)
|
((n|j)|((j&(n|n))|(t>(j|~(d)))))
| 1 | 1 | 0 | 0 |
entailment
|
(t&(d>t))
|
((n|j)|((j&(n|n))|(t>(j|~(d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((~(~(n))|t)))|((n&t)|d))&n)
|
~(~(((j>(n&d))|(j&t))))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&t)
|
(((d|n)&(t|j))|t)
| 1 | 0 | 0 | 0 |
entailment
|
~(d)
|
(d>(((d>j)>(j>d))&(~(n)&t)))
| 1 | 0 | 0 | 0 |
entailment
|
(j&t)
|
(d>(((d>j)>(j>d))&(~(n)&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(d)
|
(((d|n)&(t|j))|t)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(~(d))&d))&(j|j))
|
((d|j)|(~(~((d>n)))&(d|(j&(d>d)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((t&~((~((t>(d|d)))|n)))|n))|t)>t)
|
(n|t)
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(~(d))&d))&(j|j))
|
(n|t)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((t&~((~((t>(d|d)))|n)))|n))|t)>t)
|
((d|j)|(~(~((d>n)))&(d|(j&(d>d)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d|t)>(t|(n&j))))
|
(~(((n>(j&d))|(t&j)))|(n|d))
| 1 | 0 | 1 | 0 |
entailment
|
(t&~(~(((n>n)|t))))
|
(j|(~(d)|(t&((n>(n|j))>t))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d|t)>(t|(n&j))))
|
(j|(~(d)|(t&((n>(n|j))>t))))
| 0 | 0 | 1 | 0 |
not entailment
|
(t&~(~(((n>n)|t))))
|
(~(((n>(j&d))|(t&j)))|(n|d))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&((t|(j>j))>~(((d&d)>(j&j)))))
|
((n|t)>t)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((j&n)))&~(~(n)))
|
(((~((j|n))>t)>n)|~(((n>(t|d))>d)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&((t|(j>j))>~(((d&d)>(j&j)))))
|
(((~((j|n))>t)>n)|~(((n>(t|d))>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((j&n)))&~(~(n)))
|
((n|t)>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((d&~((t&(((t|t)&t)>t))))))
|
((t>d)&d)
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(~(~(n)))>((n>j)>d))>d))
|
~((~(t)&d))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((d&~((t&(((t|t)&t)>t))))))
|
~((~(t)&d))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(~(~(n)))>((n>j)>d))>d))
|
((t>d)&d)
| 0 | 1 | 0 | 0 |
not entailment
|
((n&t)&d)
|
(d>~(~(~(~(t)))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(n)&d)
|
(((j>j)|d)>~((d>((n&j)&t))))
| 1 | 0 | 0 | 0 |
entailment
|
((n&t)&d)
|
(((j>j)|d)>~((d>((n&j)&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(n)&d)
|
(d>~(~(~(~(t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((t>d)|((t|t)|j))&j)>~((j&t))))
|
((((j&j)&j)&(((j|(t|t))&j)|n))&j)
| 1 | 1 | 0 | 0 |
entailment
|
~((n|(t&d)))
|
~(n)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((t>d)|((t|t)|j))&j)>~((j&t))))
|
~(n)
| 0 | 1 | 0 | 0 |
not entailment
|
~((n|(t&d)))
|
((((j&j)&j)&(((j|(t|t))&j)|n))&j)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((n>n)>d))>~((n>d)))>j)
|
(n>j)
| 1 | 1 | 1 | 1 |
entailment
|
(d>((n|(n&(d&n)))&(((j>n)&j)&(j&n))))
|
((~(d)>~(~((t>n))))>(d>n))
| 1 | 1 | 0 | 0 |
entailment
|
((~(((n>n)>d))>~((n>d)))>j)
|
((~(d)>~(~((t>n))))>(d>n))
| 0 | 1 | 0 | 0 |
not entailment
|
(d>((n|(n&(d&n)))&(((j>n)&j)&(j&n))))
|
(n>j)
| 0 | 1 | 1 | 0 |
not entailment
|
((d&(j&(j&t)))|((d&(d>j))&(j|~(t))))
|
(n|(j&j))
| 1 | 1 | 0 | 0 |
entailment
|
((t&(~(d)>(j|d)))&((n>j)&(((n>t)|d)|d)))
|
((d|~(~(d)))>t)
| 1 | 1 | 1 | 0 |
entailment
|
((d&(j&(j&t)))|((d&(d>j))&(j|~(t))))
|
((d|~(~(d)))>t)
| 0 | 1 | 1 | 1 |
not entailment
|
((t&(~(d)>(j|d)))&((n>j)&(((n>t)|d)|d)))
|
(n|(j&j))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((n&q)))
|
(q|q)
| 1 | 1 | 1 | 1 |
entailment
|
(((e&(w>x))>w)|~(e))
|
((e>w)|~(((x|(n|n))>q)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((n&q)))
|
((e>w)|~(((x|(n|n))>q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e&(w>x))>w)|~(e))
|
(q|q)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((w>~(~(~(n)))))&q)
|
(((w>n)&q)|~(n))
| 1 | 1 | 1 | 0 |
entailment
|
~((x&(x|~((n>((w>x)>q))))))
|
(((n|x)&x)>(x&(~((x&x))|e)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((w>~(~(~(n)))))&q)
|
(((n|x)&x)>(x&(~((x&x))|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x&(x|~((n>((w>x)>q))))))
|
(((w>n)&q)|~(n))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(q))
|
(~(q)>x)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(n))&(e&w))
|
(~(e)|n)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(q))
|
(~(e)|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(n))&(e&w))
|
(~(q)>x)
| 0 | 1 | 0 | 0 |
not entailment
|
((e>(x|w))>(~(w)&x))
|
((e|(q|n))|((((q|w)&x)|w)>(w>x)))
| 1 | 0 | 0 | 0 |
entailment
|
~((w>x))
|
(~(w)>(w|((w>e)&(x>q))))
| 1 | 0 | 0 | 0 |
entailment
|
((e>(x|w))>(~(w)&x))
|
(~(w)>(w|((w>e)&(x>q))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((w>x))
|
((e|(q|n))|((((q|w)&x)|w)>(w>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((e>e)))>~(q)))
|
((n|(w|q))|w)
| 1 | 1 | 0 | 0 |
entailment
|
(x|(x&~(e)))
|
(((n>e)|x)>((n|(q>n))|x))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((e>e)))>~(q)))
|
(((n>e)|x)>((n|(q>n))|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(x|(x&~(e)))
|
((n|(w|q))|w)
| 0 | 1 | 0 | 0 |
not entailment
|
((n&x)&(q>n))
|
((~(q)|((e|x)|(x&~(q))))|(e&n))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((n&(q&n))|x))&w)&((q&(w|w))&(n|q)))
|
(e|(q&~(((x&q)&(n&n)))))
| 1 | 1 | 0 | 0 |
entailment
|
((n&x)&(q>n))
|
(e|(q&~(((x&q)&(n&n)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((n&(q&n))|x))&w)&((q&(w|w))&(n|q)))
|
((~(q)|((e|x)|(x&~(q))))|(e&n))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(q)|(n|w)))
|
(~(w)|(n&n))
| 1 | 1 | 1 | 0 |
entailment
|
(w&(x|(x>n)))
|
(w|n)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(q)|(n|w)))
|
(w|n)
| 0 | 1 | 1 | 0 |
not entailment
|
(w&(x|(x>n)))
|
(~(w)|(n&n))
| 0 | 1 | 1 | 0 |
not entailment
|
(e&(w&q))
|
(~((e&(w&~(n))))|q)
| 1 | 0 | 0 | 0 |
entailment
|
(x&((n>x)|(q|e)))
|
(~((n|q))|(x|x))
| 1 | 1 | 1 | 0 |
entailment
|
(e&(w&q))
|
(~((n|q))|(x|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&((n>x)|(q|e)))
|
(~((e&(w&~(n))))|q)
| 0 | 0 | 0 | 0 |
not entailment
|
(e&(e&n))
|
~(~((((q|n)|q)&e)))
| 1 | 0 | 0 | 0 |
entailment
|
(w|((w&q)&n))
|
((x|w)|x)
| 1 | 1 | 0 | 0 |
entailment
|
(e&(e&n))
|
((x|w)|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(w|((w&q)&n))
|
~(~((((q|n)|q)&e)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e|x)&((e|(n|x))&x))
|
((q>x)|e)
| 1 | 1 | 0 | 0 |
entailment
|
(((q|n)>(x|n))>~((((x>w)|n)|e)))
|
((n>~(~((~((x&q))|(n>w)))))&(n>q))
| 1 | 0 | 1 | 0 |
entailment
|
((e|x)&((e|(n|x))&x))
|
((n>~(~((~((x&q))|(n>w)))))&(n>q))
| 0 | 0 | 0 | 0 |
not entailment
|
(((q|n)>(x|n))>~((((x>w)|n)|e)))
|
((q>x)|e)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((e&z)>f))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
(k&((k&~((e&z)))>~(z)))
|
(~((z>~(~((z>k)))))>((k&z)&e))
| 1 | 0 | 1 | 1 |
entailment
|
~(((e&z)>f))
|
(~((z>~(~((z>k)))))>((k&z)&e))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&((k&~((e&z)))>~(z)))
|
~(f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((f>(z&k))))&(k|e))
|
((f&(((f|(k>k))|e)|~(e)))>((z>e)|k))
| 1 | 0 | 1 | 0 |
entailment
|
(((f>z)|k)>f)
|
((e|z)|(f&f))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((f>(z&k))))&(k|e))
|
((e|z)|(f&f))
| 0 | 1 | 1 | 0 |
not entailment
|
(((f>z)|k)>f)
|
((f&(((f|(k>k))|e)|~(e)))>((z>e)|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((k|(e>~(~((z&(z>e)))))))
|
(e&~((k|(k&(f>(f&f))))))
| 1 | 1 | 0 | 0 |
entailment
|
~((k>z))
|
~(~(k))
| 1 | 1 | 1 | 1 |
entailment
|
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