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>f)&~((f>(s&e))))
|
(((s|(f>e))>e)|(~((s>s))|(~(e)&f)))
| 1 | 0 | 1 | 0 |
entailment
|
((((f>e)&e)>(s>f))&~(~(s)))
|
(((s|(f>e))>e)|(~((s>s))|(~(e)&f)))
| 0 | 0 | 1 | 0 |
not entailment
|
((e>f)&~((f>(s&e))))
|
(((s|f)&e)>s)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((j>h)>~(z)))
|
((d|c)|(((w&h)>y)>((w&w)|(~(c)>z))))
| 1 | 0 | 0 | 0 |
entailment
|
(((h|w)|z)>j)
|
((((z>(z&~(c)))>y)|h)|((w|z)>(c|j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j>h)>~(z)))
|
((((z>(z&~(c)))>y)|h)|((w|z)>(c|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h|w)|z)>j)
|
((d|c)|(((w&h)>y)>((w&w)|(~(c)>z))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((((d&w)>((d>h)&d))|((j&w)>h)))))
|
(j|(((d&w)&~((z|z)))|((j|h)&~(j))))
| 1 | 1 | 0 | 0 |
entailment
|
((d>~(c))&c)
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((((d&w)>((d>h)&d))|((j&w)>h)))))
|
~(d)
| 0 | 1 | 1 | 1 |
not entailment
|
((d>~(c))&c)
|
(j|(((d&w)&~((z|z)))|((j|h)&~(j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z>(w>w))>y)&w)
|
(w|((y&(w>~(w)))>~(((z>z)&h))))
| 1 | 0 | 0 | 0 |
entailment
|
((d&d)&j)
|
((((y|w)|h)>(c|d))|~((((h>c)|y)&h)))
| 1 | 0 | 0 | 0 |
entailment
|
(((z>(w>w))>y)&w)
|
((((y|w)|h)>(c|d))|~((((h>c)|y)&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&d)&j)
|
(w|((y&(w>~(w)))>~(((z>z)&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(h)&d)&(j|w))
|
(((y&h)|(((~(y)&y)&y)|(d&d)))|((j&j)&c))
| 1 | 0 | 0 | 0 |
entailment
|
(((y>~(((j>w)|c)))|(w>y))&~(~(y)))
|
((h&d)|y)
| 1 | 1 | 0 | 0 |
entailment
|
((~(h)&d)&(j|w))
|
((h&d)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(((y>~(((j>w)|c)))|(w>y))&~(~(y)))
|
(((y&h)|(((~(y)&y)&y)|(d&d)))|((j&j)&c))
| 0 | 0 | 0 | 0 |
not entailment
|
((j>z)>((d&h)|y))
|
(((d>c)&~((y|c)))>(w|j))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((~(h)|((h>j)&d))|h)&z)|(w|c)))
|
~(((c>((h|d)>h))>c))
| 1 | 1 | 1 | 1 |
entailment
|
((j>z)>((d&h)|y))
|
~(((c>((h|d)>h))>c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((~(h)|((h>j)&d))|h)&z)|(w|c)))
|
(((d>c)&~((y|c)))>(w|j))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&y)
|
~((((~(h)&~(d))|(~(c)>d))&~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((((c|(h&h))&y)>(y|w))&~(w))))
|
((h>(w>d))|~(~((~(j)|c))))
| 1 | 1 | 0 | 0 |
entailment
|
(w&y)
|
((h>(w>d))|~(~((~(j)|c))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((((c|(h&h))&y)>(y|w))&~(w))))
|
~((((~(h)&~(d))|(~(c)>d))&~(y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((h&z)&z)&((~(d)>z)&((c|z)>(y|~(z)))))
|
((c>y)|~((d|z)))
| 1 | 1 | 1 | 0 |
entailment
|
(~((j&(~((j&c))|h)))&j)
|
((d>(~((c&h))|w))|(w&(z&(z&~(w)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((h&z)&z)&((~(d)>z)&((c|z)>(y|~(z)))))
|
((d>(~((c&h))|w))|(w&(z&(z&~(w)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((j&(~((j&c))|h)))&j)
|
((c>y)|~((d|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((y|y)>(~(~(w))>c)))&d)
|
(d|z)
| 1 | 1 | 0 | 0 |
entailment
|
(~((~((y|c))>(d&(z>h))))&h)
|
(h&~((((z>w)&(w&d))&(d|z))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((y|y)>(~(~(w))>c)))&d)
|
(h&~((((z>w)&(w&d))&(d|z))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~((y|c))>(d&(z>h))))&h)
|
(d|z)
| 0 | 1 | 1 | 0 |
not entailment
|
(((y>w)>(h&j))&(((h|w)>d)&w))
|
(((w&c)|h)|((d|w)&h))
| 1 | 1 | 0 | 0 |
entailment
|
~(h)
|
~(((h&h)&(((~(y)&(w&y))>w)&((j|j)|c))))
| 1 | 0 | 0 | 0 |
entailment
|
(((y>w)>(h&j))&(((h|w)>d)&w))
|
~(((h&h)&(((~(y)&(w&y))>w)&((j|j)|c))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(h)
|
(((w&c)|h)|((d|w)&h))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(h)|y))&z)
|
((~(((w&~(~(j)))&(c>d)))>w)|(y|(h|y)))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(c)>c)&(j>(d|h)))&~(w))
|
(h>(c|w))
| 1 | 1 | 1 | 0 |
entailment
|
(~((~(h)|y))&z)
|
(h>(c|w))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(c)>c)&(j>(d|h)))&~(w))
|
((~(((w&~(~(j)))&(c>d)))>w)|(y|(h|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((j>j)&(z&((d>((w|y)&z))&d)))
|
((~((w|d))|((d>d)&d))&~(~(d)))
| 1 | 0 | 1 | 0 |
entailment
|
((~(~((y&j)))>~(w))&(~((h|h))&z))
|
~(~((h>w)))
| 1 | 1 | 1 | 0 |
entailment
|
((j>j)&(z&((d>((w|y)&z))&d)))
|
~(~((h>w)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~((y&j)))>~(w))&(~((h|h))&z))
|
((~((w|d))|((d>d)&d))&~(~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((w&(h|d))|d)
|
~(~(((j|(d>(h&(z&d))))>(~(j)>(h|d)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(h)
|
(y|(h>(y&z)))
| 1 | 0 | 0 | 0 |
entailment
|
((w&(h|d))|d)
|
(y|(h>(y&z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(h)
|
~(~(((j|(d>(h&(z&d))))>(~(j)>(h|d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((j&y)&(y>w))&w)
|
((~((z|~((y|z))))&y)|z)
| 1 | 0 | 0 | 0 |
entailment
|
(h&~((j&j)))
|
(h|~(((z|(y|y))&d)))
| 1 | 0 | 0 | 0 |
entailment
|
(((j&y)&(y>w))&w)
|
(h|~(((z|(y|y))&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&~((j&j)))
|
((~((z|~((y|z))))&y)|z)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((c>~((~(~(d))&y))))&h)
|
((h>(~((j&j))>w))>(h|c))
| 1 | 1 | 0 | 0 |
entailment
|
(w&d)
|
(w|(~((y|d))&d))
| 1 | 0 | 0 | 0 |
entailment
|
(~((c>~((~(~(d))&y))))&h)
|
(w|(~((y|d))&d))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&d)
|
((h>(~((j&j))>w))>(h|c))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(w&~(c)))
|
((~((d|w))>y)&(((j>h)&y)|w))
| 1 | 0 | 0 | 0 |
entailment
|
(z&j)
|
(((c&h)|(~(j)&w))>(z|h))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(w&~(c)))
|
(((c&h)|(~(j)&w))>(z|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&j)
|
((~((d|w))>y)&(((j>h)&y)|w))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((w|(d>y)))|j))
|
~(~(~(j)))
| 1 | 1 | 1 | 1 |
entailment
|
(c|w)
|
((z>((d>(c>d))>w))|(z>(y|c)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((w|(d>y)))|j))
|
((z>((d>(c>d))>w))|(z>(y|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(c|w)
|
~(~(~(j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y>w)&((j|(d|y))&(~((w>y))&h)))
|
~((~((y>~(z)))&(y&(j|z))))
| 1 | 1 | 0 | 0 |
entailment
|
((d&c)&~(~((w&y))))
|
(~(c)>((((w&w)>j)>c)&(d|z)))
| 1 | 0 | 0 | 0 |
entailment
|
((y>w)&((j|(d|y))&(~((w>y))&h)))
|
(~(c)>((((w&w)>j)>c)&(d|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&c)&~(~((w&y))))
|
~((~((y>~(z)))&(y&(j|z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(y&~((y&z))))
|
(((y&c)&j)|(y|y))
| 1 | 1 | 0 | 0 |
entailment
|
(h&(~(~(~(((~(d)&~(w))>(z&c)))))&h))
|
(h|(d&j))
| 1 | 1 | 0 | 0 |
entailment
|
(d&(y&~((y&z))))
|
(h|(d&j))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(~(~(~(((~(d)&~(w))>(z&c)))))&h))
|
(((y&c)&j)|(y|y))
| 0 | 1 | 0 | 0 |
not entailment
|
~(h)
|
((w&(h>y))|~(w))
| 1 | 0 | 0 | 0 |
entailment
|
(((w|w)&d)&((d|c)|d))
|
(d|((z>z)>((j>d)>c)))
| 1 | 1 | 0 | 0 |
entailment
|
~(h)
|
(d|((z>z)>((j>d)>c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w|w)&d)&((d|c)|d))
|
((w&(h>y))|~(w))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y&j)&d)&c)
|
((c&y)>~(~(~(~(j)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((c>(d&d)))
|
(((~(~(c))|y)>d)>(~(j)&h))
| 1 | 0 | 0 | 0 |
entailment
|
(((y&j)&d)&c)
|
(((~(~(c))|y)>d)>(~(j)&h))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>(d&d)))
|
((c&y)>~(~(~(~(j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t|t))
|
(l|~((t&w)))
| 1 | 0 | 0 | 0 |
entailment
|
~((w>(z>((w>u)>l))))
|
((l>w)|b)
| 1 | 1 | 0 | 0 |
entailment
|
~((t|t))
|
((l>w)|b)
| 0 | 1 | 0 | 0 |
not entailment
|
~((w>(z>((w>u)>l))))
|
(l|~((t&w)))
| 0 | 1 | 0 | 0 |
not entailment
|
((y>b)>(y&(((e|y)|w)>(l>~(e)))))
|
~(~((u>(b>y))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((~((w|y))|(t|(l&y)))))&(l&z))
|
((b|w)>(~(l)>~((a&q))))
| 1 | 1 | 0 | 0 |
entailment
|
((y>b)>(y&(((e|y)|w)>(l>~(e)))))
|
((b|w)>(~(l)>~((a&q))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((~((w|y))|(t|(l&y)))))&(l&z))
|
~(~((u>(b>y))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((z|y)|(a&a))|~(w)))
|
(((e|~(e))&((a&z)|z))>y)
| 1 | 1 | 0 | 0 |
entailment
|
(z&~(l))
|
(((~(a)>~(~(w)))&(b|y))|(z|e))
| 1 | 0 | 0 | 0 |
entailment
|
~((((z|y)|(a&a))|~(w)))
|
(((~(a)>~(~(w)))&(b|y))|(z|e))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&~(l))
|
(((e|~(e))&((a&z)|z))>y)
| 0 | 0 | 0 | 0 |
not entailment
|
(z&(q|y))
|
((t|((((b&q)&t)&~(w))&z))>(z|(a>z)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(l)|((((t&t)&w)|((t>b)|z))>y)))
|
(~(a)|l)
| 1 | 1 | 0 | 0 |
entailment
|
(z&(q|y))
|
(~(a)|l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(l)|((((t&t)&w)|((t>b)|z))>y)))
|
((t|((((b&q)&t)&~(w))&z))>(z|(a>z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((u|w))
|
(~(w)|a)
| 1 | 1 | 0 | 0 |
entailment
|
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