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 |
|---|---|---|---|---|---|---|
((((t>i)|(y&n))&(~(n)>n))|j)
|
(j|(((i|j)&(i|t))|n))
| 1 | 1 | 1 | 0 |
entailment
|
~((j|((y|~((t&t)))>((y>q)|~(t)))))
|
(j|(((i|j)&(i|t))|n))
| 0 | 1 | 0 | 0 |
not entailment
|
((((t>i)|(y&n))&(~(n)>n))|j)
|
((g>g)&(~(((q|y)|i))>n))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&((u>u)|~(j)))|u)
|
((j|c)|u)
| 1 | 1 | 0 | 0 |
entailment
|
((((u>z)|u)>(j|z))>(((u>j)&f)&(~(c)>z)))
|
(c>((z>f)|~(u)))
| 1 | 1 | 1 | 0 |
entailment
|
((u&((u>u)|~(j)))|u)
|
(c>((z>f)|~(u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((u>z)|u)>(j|z))>(((u>j)&f)&(~(c)>z)))
|
((j|c)|u)
| 0 | 1 | 1 | 1 |
not entailment
|
(f|((f&~((f&((u|j)&j))))|f))
|
(((((f&z)|j)|f)>~(c))|f)
| 1 | 1 | 0 | 0 |
entailment
|
~((f|(f&u)))
|
((z&(f&f))>(j&((~((u&f))|(f>f))&f)))
| 1 | 0 | 0 | 0 |
entailment
|
(f|((f&~((f&((u|j)&j))))|f))
|
((z&(f&f))>(j&((~((u&f))|(f>f))&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f|(f&u)))
|
(((((f&z)|j)|f)>~(c))|f)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(u)|(f&z))|((u&f)>(c&f))))
|
(u|(c|c))
| 1 | 1 | 1 | 0 |
entailment
|
(~(f)&~((((z>f)|(c&j))&(f|f))))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(u)|(f&z))|((u&f)>(c&f))))
|
~(f)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(f)&~((((z>f)|(c&j))&(f|f))))
|
(u|(c|c))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&u)
|
((~((~(z)&j))|(((z>j)|z)&j))>(c>(u&f)))
| 1 | 0 | 0 | 0 |
entailment
|
(c&u)
|
(c&c)
| 1 | 1 | 1 | 1 |
entailment
|
(f&u)
|
(c&c)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&u)
|
((~((~(z)&j))|(((z>j)|z)&j))>(c>(u&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((c|u))&f)
|
~(~((~(~((c>u)))|j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j&(((z|z)&c)>((c&u)>(f>~(f)))))&f))
|
((~(~(~(((f&j)&f))))|(c&j))|(z&c))
| 1 | 1 | 1 | 0 |
entailment
|
(~((c|u))&f)
|
((~(~(~(((f&j)&f))))|(c&j))|(z&c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j&(((z|z)&c)>((c&u)>(f>~(f)))))&f))
|
~(~((~(~((c>u)))|j)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((z>u)>u)>(u|c))&z)
|
~((~((j|z))&(u&f)))
| 1 | 1 | 0 | 0 |
entailment
|
~((j|c))
|
(j>(u&u))
| 1 | 1 | 0 | 0 |
entailment
|
((((z>u)>u)>(u|c))&z)
|
(j>(u&u))
| 0 | 1 | 0 | 0 |
not entailment
|
~((j|c))
|
~((~((j|z))&(u&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&u)
|
(u|~((((j|(c|j))&u)>c)))
| 1 | 0 | 0 | 0 |
entailment
|
(f&((f|z)&((c|j)>(z|c))))
|
~((~((u>z))&(~(f)&u)))
| 1 | 1 | 0 | 0 |
entailment
|
(j&u)
|
~((~((u>z))&(~(f)&u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&((f|z)&((c|j)>(z|c))))
|
(u|~((((j|(c|j))&u)>c)))
| 0 | 1 | 0 | 0 |
not entailment
|
((f>f)&~(~((f&f))))
|
(((j&j)>f)|(c>(f|z)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((j|(u>z))>~(((u>j)>u))))
|
(~((u>(f|z)))|u)
| 1 | 1 | 0 | 0 |
entailment
|
((f>f)&~(~((f&f))))
|
(~((u>(f|z)))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((j|(u>z))>~(((u>j)>u))))
|
(((j&j)>f)|(c>(f|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f&f)>(~((f|c))|~(j))))
|
(~(z)|(z&j))
| 1 | 1 | 0 | 0 |
entailment
|
(u&f)
|
((u|c)&(f|j))
| 1 | 0 | 0 | 0 |
entailment
|
~(((f&f)>(~((f|c))|~(j))))
|
((u|c)&(f|j))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&f)
|
(~(z)|(z&j))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((c>f)&(f>f)))&z)
|
((((z&c)&(f&f))&f)|(~(z)>((f>j)|u)))
| 1 | 0 | 0 | 0 |
entailment
|
(((c&f)|f)&c)
|
((f&(f|c))|(f|j))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((c>f)&(f>f)))&z)
|
((f&(f|c))|(f|j))
| 0 | 1 | 0 | 0 |
not entailment
|
(((c&f)|f)&c)
|
((((z&c)&(f&f))&f)|(~(z)>((f>j)|u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>~(z)))
|
~(~((z&((f>j)|((z|z)|((c&j)&u))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j|(f&u))|((~(c)>(c&j))|c)))
|
(~(j)|((z|u)>c))
| 1 | 1 | 0 | 0 |
entailment
|
~((f>~(z)))
|
(~(j)|((z|u)>c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j|(f&u))|((~(c)>(c&j))|c)))
|
~(~((z&((f>j)|((z|z)|((c&j)&u))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~((j|(j&z))))))
|
((z>~(u))>j)
| 1 | 1 | 0 | 0 |
entailment
|
((((c|z)&(f>c))>~((j&(z>c))))>c)
|
(((c&(j>c))|(j&z))|u)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(~((j|(j&z))))))
|
(((c&(j>c))|(j&z))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
((((c|z)&(f>c))>~((j&(z>c))))>c)
|
((z>~(u))>j)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((~(~(((j>u)|z)))>~(c)))>j)>c)
|
(j|c)
| 1 | 1 | 1 | 0 |
entailment
|
(u&u)
|
(~((~((j>u))>u))>f)
| 1 | 0 | 0 | 0 |
entailment
|
((~((~(~(((j>u)|z)))>~(c)))>j)>c)
|
(~((~((j>u))>u))>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(u&u)
|
(j|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&f)
|
(~(j)>(j|z))
| 1 | 0 | 0 | 0 |
entailment
|
((u&((~((~(c)&c))&(u&c))&f))&u)
|
(~(((u>c)&u))>(u&(c>((u&f)|z))))
| 1 | 1 | 0 | 0 |
entailment
|
(j&f)
|
(~(((u>c)&u))>(u&(c>((u&f)|z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&((~((~(c)&c))&(u&c))&f))&u)
|
(~(j)>(j|z))
| 0 | 1 | 0 | 0 |
not entailment
|
((u>z)|~(((u&z)|(c>(c|u)))))
|
((j&(u>(f&f)))|((u>z)|j))
| 1 | 1 | 0 | 0 |
entailment
|
(f&(~(((f|f)|z))>((z&~(~(z)))|z)))
|
(~(u)|f)
| 1 | 1 | 0 | 0 |
entailment
|
((u>z)|~(((u&z)|(c>(c|u)))))
|
(~(u)|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(~(((f|f)|z))>((z&~(~(z)))|z)))
|
((j&(u>(f&f)))|((u>z)|j))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(j)|~((z|j)))
|
(((z|((u>c)|f))|f)|(j>(u>z)))
| 1 | 0 | 0 | 0 |
entailment
|
((((z&z)&u)>z)&~(c))
|
(c>(~(~((z>f)))|~(u)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(j)|~((z|j)))
|
(c>(~(~((z>f)))|~(u)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((z&z)&u)>z)&~(c))
|
(((z|((u>c)|f))|f)|(j>(u>z)))
| 0 | 0 | 0 | 0 |
not entailment
|
((z>z)>f)
|
(u|((f>j)>f))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((j|z)>~(~((c>c))))>(j>u))|z))
|
(j>(j&(~((u>(u>c)))>(u>z))))
| 1 | 1 | 1 | 0 |
entailment
|
((z>z)>f)
|
(j>(j&(~((u>(u>c)))>(u>z))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((j|z)>~(~((c>c))))>(j>u))|z))
|
(u|((f>j)>f))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(((j>j)>~(j))|u))
|
~((((c|((u>j)|j))|(f&~(j)))>(f>~(f))))
| 1 | 0 | 0 | 0 |
entailment
|
(z&~((((u>j)&(j&u))>(j&c))))
|
(c>u)
| 1 | 1 | 1 | 1 |
entailment
|
(f&(((j>j)>~(j))|u))
|
(c>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(z&~((((u>j)&(j&u))>(j&c))))
|
~((((c|((u>j)|j))|(f&~(j)))>(f>~(f))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&((y&a)&y))
|
(a&(~(a)>(q>(y&z))))
| 1 | 0 | 0 | 0 |
entailment
|
((r&(z&(k|z)))|(~(((q|r)|((r>q)>p)))&p))
|
(z>(n>r))
| 1 | 1 | 0 | 0 |
entailment
|
(z&((y&a)&y))
|
(z>(n>r))
| 0 | 1 | 0 | 0 |
not entailment
|
((r&(z&(k|z)))|(~(((q|r)|((r>q)>p)))&p))
|
(a&(~(a)>(q>(y&z))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((a|(a&(a|k)))&(z|p))))
|
(~((((k>r)&(~(a)|p))|z))>(n>(q|k)))
| 1 | 0 | 0 | 0 |
entailment
|
(((q|(n>a))&n)&((q|a)>n))
|
(((p|p)&((r|k)|~(p)))>(n&(z>z)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((a|(a&(a|k)))&(z|p))))
|
(((p|p)&((r|k)|~(p)))>(n&(z>z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((q|(n>a))&n)&((q|a)>n))
|
(~((((k>r)&(~(a)|p))|z))>(n>(q|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&r)
|
(((z|n)|(p&y))>((~(q)|p)>(p|q)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(((((q>n)|z)>y)>y)&~(((z>k)|a))))
|
((((q>p)|(~(q)&n))>z)|(y&p))
| 1 | 1 | 0 | 0 |
entailment
|
(p&r)
|
((((q>p)|(~(q)&n))>z)|(y&p))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(((((q>n)|z)>y)>y)&~(((z>k)|a))))
|
(((z|n)|(p&y))>((~(q)|p)>(p|q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(n)&~(((~((q|y))>z)|(z&~(z)))))
|
(~(n)|a)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((r>(k&z))|k))|(((q|q)&r)>z)))
|
(((((z&z)|p)>n)|(~((r|~(y)))&n))>q)
| 1 | 1 | 0 | 0 |
entailment
|
(~(n)&~(((~((q|y))>z)|(z&~(z)))))
|
(((((z&z)|p)>n)|(~((r|~(y)))&n))>q)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((r>(k&z))|k))|(((q|q)&r)>z)))
|
(~(n)|a)
| 0 | 1 | 0 | 0 |
not entailment
|
((r&a)&(r|(n>z)))
|
((~(~((p|q)))>k)|(~(r)>a))
| 1 | 0 | 0 | 0 |
entailment
|
(z&~(n))
|
~(((z>((r&(q>n))&z))&n))
| 1 | 0 | 0 | 0 |
entailment
|
((r&a)&(r|(n>z)))
|
~(((z>((r&(q>n))&z))&n))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&~(n))
|
((~(~((p|q)))>k)|(~(r)>a))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((p>~(q))&p)|(z&(z&a))))
|
(((p|p)>q)|(r|(a|y)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((q>~((k&(y|p))))>a))))
|
((a>~((a&(r|n))))>~(a))
| 1 | 1 | 0 | 0 |
entailment
|
~((((p>~(q))&p)|(z&(z&a))))
|
((a>~((a&(r|n))))>~(a))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((q>~((k&(y|p))))>a))))
|
(((p|p)>q)|(r|(a|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((k>z))
|
~((p&z))
| 1 | 1 | 0 | 0 |
entailment
|
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