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 |
---|---|---|---|---|---|---|
(((k&(u>(j>k)))&p)&k)
|
(j>k)
| 1 | 1 | 1 | 1 |
entailment
|
((l&(j>(r|((u>z)>r))))&((p|(u&k))>k))
|
(j|(z>l))
| 1 | 1 | 1 | 0 |
entailment
|
(((k&(u>(j>k)))&p)&k)
|
(j|(z>l))
| 0 | 1 | 0 | 0 |
not entailment
|
((l&(j>(r|((u>z)>r))))&((p|(u&k))>k))
|
(j>k)
| 0 | 1 | 1 | 1 |
not entailment
|
((~(l)>~((~((r|h))>(p&l))))&u)
|
(((~(p)|(j|u))|(j&(j&j)))|r)
| 1 | 1 | 0 | 0 |
entailment
|
(~((((h&r)&r)|~(p)))&(((l>k)>l)>z))
|
((((h|p)>~(l))|((z&(r>r))|~(p)))|j)
| 1 | 1 | 0 | 0 |
entailment
|
((~(l)>~((~((r|h))>(p&l))))&u)
|
((((h|p)>~(l))|((z&(r>r))|~(p)))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((h&r)&r)|~(p)))&(((l>k)>l)>z))
|
(((~(p)|(j|u))|(j&(j&j)))|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(u)|~(z)))&(l&r))
|
((p>(~((u|l))>r))|~((p>h)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((p>(p&k))|(~(h)&h)))|(k&k))&~(k))
|
~((~(((z|(h|k))&k))&~(((z>z)>p))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(u)|~(z)))&(l&r))
|
~((~(((z|(h|k))&k))&~(((z>z)>p))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((p>(p&k))|(~(h)&h)))|(k&k))&~(k))
|
((p>(~((u|l))>r))|~((p>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(j|(((j>(j|(h&p)))|~(((j|l)&r)))>r))
|
(l|(~(j)>((u>k)|r)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(j)>(p|(r&k)))&u)>((h|z)|r)))
|
~(((h&(r&k))&k))
| 1 | 1 | 1 | 0 |
entailment
|
(j|(((j>(j|(h&p)))|~(((j|l)&r)))>r))
|
~(((h&(r&k))&k))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(j)>(p|(r&k)))&u)>((h|z)|r)))
|
(l|(~(j)>((u>k)|r)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((l>(k|j)))
|
~(~(((~(j)|(p&l))|(~((z&r))&l))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((j>l))&(u>z))
|
(j|(z&(((r&u)|(j&~((p>k))))&r)))
| 1 | 0 | 0 | 0 |
entailment
|
~((l>(k|j)))
|
(j|(z&(((r&u)|(j&~((p>k))))&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((j>l))&(u>z))
|
~(~(((~(j)|(p&l))|(~((z&r))&l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&((p>j)&h))
|
(l|j)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((u|r)>((j&h)&r)))))
|
((u|r)|z)
| 1 | 1 | 0 | 0 |
entailment
|
(p&((p>j)&h))
|
((u|r)|z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((u|r)>((j&h)&r)))))
|
(l|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((p|h)>z)&p)&((z|u)>(u>h)))>r))
|
(((~(~(r))&~(p))|h)>((k>r)>z))
| 1 | 1 | 0 | 0 |
entailment
|
~((h>k))
|
((h|l)>(k>u))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((p|h)>z)&p)&((z|u)>(u>h)))>r))
|
((h|l)>(k>u))
| 0 | 1 | 0 | 0 |
not entailment
|
~((h>k))
|
(((~(~(r))&~(p))|h)>((k>r)>z))
| 0 | 0 | 0 | 0 |
not entailment
|
(u|((~(r)&j)&(u&(l&z))))
|
~(~((u|(h>(r>j)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(j)>(k&h)))
|
((~(j)|p)|k)
| 1 | 1 | 0 | 0 |
entailment
|
(u|((~(r)&j)&(u&(l&z))))
|
((~(j)|p)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(j)>(k&h)))
|
~(~((u|(h>(r>j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(p&~(l)))
|
(k|(h|p))
| 1 | 1 | 0 | 0 |
entailment
|
~((j>((h|((p|p)&h))|p)))
|
~((j>(~((h|r))&(j&h))))
| 1 | 1 | 0 | 0 |
entailment
|
(h&(p&~(l)))
|
~((j>(~((h|r))&(j&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j>((h|((p|p)&h))|p)))
|
(k|(h|p))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(h))&j)
|
(((r|(~(r)>l))>~((p|h)))|((h|j)|r))
| 1 | 0 | 0 | 0 |
entailment
|
((~(k)|~((l>z)))&(u|k))
|
((((u|z)|z)|p)|l)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(h))&j)
|
((((u|z)|z)|p)|l)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(k)|~((l>z)))&(u|k))
|
(((r|(~(r)>l))>~((p|h)))|((h|j)|r))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((~((h|u))>k))|(~(z)|r)))
|
(((((r|(h>z))>h)&j)>(u>u))>(((l>z)&r)>p))
| 1 | 0 | 0 | 0 |
entailment
|
(((~((u&h))>p)&((z|j)&r))&(l|z))
|
(~(~(p))>r)
| 1 | 1 | 1 | 0 |
entailment
|
~((~((~((h|u))>k))|(~(z)|r)))
|
(~(~(p))>r)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((u&h))>p)&((z|j)&r))&(l|z))
|
(((((r|(h>z))>h)&j)>(u>u))>(((l>z)&r)>p))
| 0 | 0 | 1 | 0 |
not entailment
|
(p&(j|j))
|
(~(p)>(r&(p>~((((j|l)>(p&j))|l)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h&k)>j))
|
~((((h>k)&j)&(l>r)))
| 1 | 0 | 0 | 0 |
entailment
|
(p&(j|j))
|
~((((h>k)&j)&(l>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h&k)>j))
|
(~(p)>(r&(p>~((((j|l)>(p&j))|l)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(l)
|
~(((l|l)&((z|p)>((h>j)&(u>l)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((k&l)|l)|((z|(k&p))|l))&((~(l)>k)&k))
|
~(~((~(k)>r)))
| 1 | 1 | 0 | 0 |
entailment
|
~(l)
|
~(~((~(k)>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((k&l)|l)|((z|(k&p))|l))&((~(l)>k)&k))
|
~(((l|l)&((z|p)>((h>j)&(u>l)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&(u|(~(((j&k)|j))|~(~(r)))))
|
~(~(((~((u&(h&l)))|h)&k)))
| 1 | 1 | 0 | 0 |
entailment
|
(h&(r&j))
|
(r&j)
| 1 | 1 | 1 | 1 |
entailment
|
(k&(u|(~(((j&k)|j))|~(~(r)))))
|
(r&j)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&(r&j))
|
~(~(((~((u&(h&l)))|h)&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((p|p)))&((k&j)&p))
|
((h|p)|j)
| 1 | 1 | 0 | 0 |
entailment
|
~(((u|z)|u))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((p|p)))&((k&j)&p))
|
~(u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u|z)|u))
|
((h|p)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((z&h))&(h&l))
|
(~((h>l))>~((j|p)))
| 1 | 0 | 0 | 0 |
entailment
|
(((j>(u|u))>k)&r)
|
(~(h)|r)
| 1 | 1 | 0 | 0 |
entailment
|
(~((z&h))&(h&l))
|
(~(h)|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(((j>(u|u))>k)&r)
|
(~((h>l))>~((j|p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z&(h|(l&p)))&(h>r))&~(k))
|
(r>(l>~(((z&(((l|j)&k)&k))&p))))
| 1 | 0 | 0 | 0 |
entailment
|
(p&((k>h)|z))
|
(z>p)
| 1 | 1 | 1 | 0 |
entailment
|
(((z&(h|(l&p)))&(h>r))&~(k))
|
(z>p)
| 0 | 1 | 1 | 0 |
not entailment
|
(p&((k>h)|z))
|
(r>(l>~(((z&(((l|j)&k)&k))&p))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~((h>j))))&(((z|j)|h)&u))
|
(~(((k|h)|r))|h)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(k)&(j|z))>~((~((u&z))>h))))
|
(~(k)&(p|(r>(h|z))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(~((h>j))))&(((z|j)|h)&u))
|
(~(k)&(p|(r>(h|z))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(k)&(j|z))>~((~((u&z))>h))))
|
(~(((k|h)|r))|h)
| 0 | 1 | 0 | 0 |
not entailment
|
((y&r)&~((r>m)))
|
(~(z)|((~(y)|(r&~(m)))>(u|y)))
| 1 | 0 | 0 | 0 |
entailment
|
((u>((~(j)&q)&z))&n)
|
(~(~(~((u|((u|u)&z)))))|~(~((j|n))))
| 1 | 0 | 1 | 0 |
entailment
|
((y&r)&~((r>m)))
|
(~(~(~((u|((u|u)&z)))))|~(~((j|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
((u>((~(j)&q)&z))&n)
|
(~(z)|((~(y)|(r&~(m)))>(u|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((r>y))&~(q))
|
((~(((j&q)|(z|x)))&((r&(r&x))>(n&r)))|r)
| 1 | 0 | 0 | 0 |
entailment
|
~(m)
|
((((r>u)&m)>x)|y)
| 1 | 0 | 0 | 0 |
entailment
|
(~((r>y))&~(q))
|
((((r>u)&m)>x)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(m)
|
((~(((j&q)|(z|x)))&((r&(r&x))>(n&r)))|r)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((j&~((((x&z)|~((y|z)))>x)))))
|
(((z|(j>~(r)))|q)|(~(m)>((z>z)>(x>n))))
| 1 | 0 | 0 | 0 |
entailment
|
(n>~((n|(~(m)&z))))
|
((z>~((((z>~(z))>y)&(r|q))))>(n>x))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((j&~((((x&z)|~((y|z)))>x)))))
|
((z>~((((z>~(z))>y)&(r|q))))>(n>x))
| 0 | 1 | 0 | 0 |
not entailment
|
(n>~((n|(~(m)&z))))
|
(((z|(j>~(r)))|q)|(~(m)>((z>z)>(x>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((u>(y|u))&(n&(y>q)))|((m&j)|(n&r)))
|
(~(~(m))|n)
| 1 | 1 | 1 | 1 |
entailment
|
((~(u)|(u>r))&(y&y))
|
(z>(u>r))
| 1 | 1 | 0 | 0 |
entailment
|
(((u>(y|u))&(n&(y>q)))|((m&j)|(n&r)))
|
(z>(u>r))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(u)|(u>r))&(y&y))
|
(~(~(m))|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(m&~(((((~(q)&n)>(r&q))&z)|(n&z))))
|
(m|((z|((r>n)&m))>~((m|x))))
| 1 | 1 | 0 | 0 |
entailment
|
(x&~(~((~((j|z))>(z&((z&z)&y))))))
|
~(~((x|x)))
| 1 | 1 | 1 | 1 |
entailment
|
(m&~(((((~(q)&n)>(r&q))&z)|(n&z))))
|
~(~((x|x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&~(~((~((j|z))>(z&((z&z)&y))))))
|
(m|((z|((r>n)&m))>~((m|x))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((z&(n>((~(j)|m)&~(r))))))
|
~((((~(x)|x)|u)>~(((z&z)|(y&n)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((z>z)&((u>n)>(r>x))))&(j&(j>r)))
|
(x>~(((z&z)|~(y))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((z&(n>((~(j)|m)&~(r))))))
|
(x>~(((z&z)|~(y))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((z>z)&((u>n)>(r>x))))&(j&(j>r)))
|
~((((~(x)|x)|u)>~(((z&z)|(y&n)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((z&((r>y)&q))&m)|(z|q))|~((y>m))))
|
(z>~(n))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((x>~((r>~(x))))>~(y)))))
|
(m|y)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((z&((r>y)&q))&m)|(z|q))|~((y>m))))
|
(m|y)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(((x>~((r>~(x))))>~(y)))))
|
(z>~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
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