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 |
|---|---|---|---|---|---|---|
((c&(l&(j&l)))&o)
|
(o|a)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((l&(a|~((a|o))))>((p&k)&p)))&~(p))
|
((p>a)|a)
| 1 | 1 | 1 | 1 |
entailment
|
((c&(l&(j&l)))&o)
|
((p>a)|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((l&(a|~((a|o))))>((p&k)&p)))&~(p))
|
(o|a)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((c&(k&p)))>~(((p|c)&k))))
|
((~(a)&(o&(k|j)))|((k&(k>k))|(p|a)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(a)>j))
|
(j>(p|l))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((c&(k&p)))>~(((p|c)&k))))
|
(j>(p|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(a)>j))
|
((~(a)&(o&(k|j)))|((k&(k>k))|(p|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(c)|((k>k)>j))|(l&l)))
|
(~((~(a)&(l>j)))>(((k&l)|j)|a))
| 1 | 0 | 0 | 0 |
entailment
|
(l|(l&((p&(((k|c)&p)&o))&k)))
|
((o|l)|k)
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(c)|((k>k)>j))|(l&l)))
|
((o|l)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(l|(l&((p&(((k|c)&p)&o))&k)))
|
(~((~(a)&(l>j)))>(((k&l)|j)|a))
| 0 | 0 | 0 | 0 |
not entailment
|
((j|a)&~((k|(o>~(o)))))
|
(((j&(k&p))>j)&o)
| 1 | 1 | 0 | 0 |
entailment
|
~((j>~(((l&k)|l))))
|
(~((p&a))>l)
| 1 | 1 | 0 | 0 |
entailment
|
((j|a)&~((k|(o>~(o)))))
|
(~((p&a))>l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((j>~(((l&k)|l))))
|
(((j&(k&p))>j)&o)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((j>c)|(((p|(p&j))>~(p))&(k&o))))
|
((k&c)>(~(c)|~(~(~(c)))))
| 1 | 1 | 1 | 1 |
entailment
|
(k&(p>(a&a)))
|
(~((~(a)&p))&((k|o)&(l>k)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j>c)|(((p|(p&j))>~(p))&(k&o))))
|
(~((~(a)&p))&((k|o)&(l>k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&(p>(a&a)))
|
((k&c)>(~(c)|~(~(~(c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(p)
|
((p>p)&((p>k)|a))
| 1 | 0 | 0 | 0 |
entailment
|
((p&(k|p))&~(a))
|
(((p>a)>k)|(((l>j)|k)&o))
| 1 | 0 | 0 | 0 |
entailment
|
~(p)
|
(((p>a)>k)|(((l>j)|k)&o))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&(k|p))&~(a))
|
((p>p)&((p>k)|a))
| 0 | 1 | 1 | 0 |
not entailment
|
(a&j)
|
((c&p)>((k|(((j&j)&c)&(~(p)|j)))|(p>j)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&(l&p))
|
(o>l)
| 1 | 1 | 0 | 0 |
entailment
|
(a&j)
|
(o>l)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&(l&p))
|
((c&p)>((k|(((j&j)&c)&(~(p)|j)))|(p>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(o>(c>a))
|
((c&~((~(o)|a)))>((o&a)|p))
| 1 | 0 | 0 | 0 |
entailment
|
~(j)
|
((a|~(c))|((~(l)>(j&l))|~(j)))
| 1 | 0 | 0 | 0 |
entailment
|
(o>(c>a))
|
((a|~(c))|((~(l)>(j&l))|~(j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(j)
|
((c&~((~(o)|a)))>((o&a)|p))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&p)
|
((p>c)|k)
| 1 | 0 | 0 | 0 |
entailment
|
(l&~((k&o)))
|
(j>(o|l))
| 1 | 1 | 0 | 0 |
entailment
|
(k&p)
|
(j>(o|l))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&~((k&o)))
|
((p>c)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((o|(j|k))&~((c>(a>p))))
|
(k|a)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(l))
|
(((a>c)>(k>k))&(((o|l)|j)|o))
| 1 | 0 | 0 | 0 |
entailment
|
((o|(j|k))&~((c>(a>p))))
|
(((a>c)>(k>k))&(((o|l)|j)|o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(l))
|
(k|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(j&k)
|
(~((~(p)|((p>c)|o)))|(k|(a>c)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(l)|~(l))&a)
|
~((((o|a)|j)>l))
| 1 | 1 | 0 | 0 |
entailment
|
(j&k)
|
~((((o|a)|j)>l))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(l)|~(l))&a)
|
(~((~(p)|((p>c)|o)))|(k|(a>c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&(c|(a&a)))&c)
|
(((j|k)&p)|k)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((o&c)&a))>(~((p>p))&((c&~(c))>p)))
|
((p&(a&((~(p)&((l&c)&o))>l)))>(a>o))
| 1 | 1 | 0 | 0 |
entailment
|
((k&(c|(a&a)))&c)
|
((p&(a&((~(p)&((l&c)&o))>l)))>(a>o))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((o&c)&a))>(~((p>p))&((c&~(c))>p)))
|
(((j|k)&p)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((k&a)|c))&(~((((a&l)|c)|c))>c))
|
(((p>o)&c)>(~((c|l))&(k&l)))
| 1 | 1 | 0 | 0 |
entailment
|
~((k|((~(k)&~(((a&c)>k)))|o)))
|
(o>~((j|(((l>k)>c)>l))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((k&a)|c))&(~((((a&l)|c)|c))>c))
|
(o>~((j|(((l>k)>c)>l))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((k|((~(k)&~(((a&c)>k)))|o)))
|
(((p>o)&c)>(~((c|l))&(k&l)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(a)
|
((a>k)|(k|~(c)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(p)|o))
|
((((o|p)|~(((p&j)|(c>~((o>p))))))|k)|l)
| 1 | 0 | 0 | 0 |
entailment
|
~(a)
|
((((o|p)|~(((p&j)|(c>~((o>p))))))|k)|l)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(p)|o))
|
((a>k)|(k|~(c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&~((~(u)&z)))
|
(r|(~((u|u))>u))
| 1 | 1 | 0 | 0 |
entailment
|
((i&l)|(~(i)&i))
|
(l&l)
| 1 | 1 | 1 | 1 |
entailment
|
(z&~((~(u)&z)))
|
(l&l)
| 0 | 1 | 0 | 0 |
not entailment
|
((i&l)|(~(i)&i))
|
(r|(~((u|u))>u))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&~(((r&l)>n)))
|
(n>~(~(((r>l)&(l&z)))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&n)
|
(((n|u)>(~(h)&(z&r)))>(l>n))
| 1 | 0 | 0 | 0 |
entailment
|
(l&~(((r&l)>n)))
|
(((n|u)>(~(h)&(z&r)))>(l>n))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&n)
|
(n>~(~(((r>l)&(l&z)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((h|h))>n)
|
((~(h)&(r&i))>((l|n)&~((i>(n&~(r))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((r|h)|u)&(r>u))
|
(u|((r&l)>u))
| 1 | 1 | 0 | 0 |
entailment
|
(~((h|h))>n)
|
(u|((r&l)>u))
| 0 | 1 | 0 | 0 |
not entailment
|
(((r|h)|u)&(r>u))
|
((~(h)&(r&i))>((l|n)&~((i>(n&~(r))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(n)
|
(~(((l>l)>(n&u)))|((u&l)&l))
| 1 | 0 | 0 | 0 |
entailment
|
((i&~(((h|u)|z)))|((z|h)&z))
|
((h&r)>(z|(u|~((r>~((i|u)))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(n)
|
((h&r)>(z|(u|~((r>~((i|u)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((i&~(((h|u)|z)))|((z|h)&z))
|
(~(((l>l)>(n&u)))|((u&l)&l))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&(l&(n>l)))
|
(((r|n)>(u>n))>l)
| 1 | 0 | 0 | 0 |
entailment
|
(((l|(z&r))>l)&~(((r|h)|(u&(h|n)))))
|
~(((r&n)&(~((l>z))|~(((l&l)|h)))))
| 1 | 1 | 1 | 0 |
entailment
|
(u&(l&(n>l)))
|
~(((r&n)&(~((l>z))|~(((l&l)|h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((l|(z&r))>l)&~(((r|h)|(u&(h|n)))))
|
(((r|n)>(u>n))>l)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((l&(u|r)))|(z&r)))
|
(i|((n>l)|h))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((l|~(l)))|h)|z))
|
~(~(((h|z)>n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((l&(u|r)))|(z&r)))
|
~(~(((h|z)>n)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((l|~(l)))|h)|z))
|
(i|((n>l)|h))
| 0 | 1 | 0 | 0 |
not entailment
|
((r&(l&((u|n)>(z|r))))|(h&(l>r)))
|
(((~(z)>(i|h))>r)|~((~(((r|l)>n))|r)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((((n|l)|r)&(h|r))))&i)
|
((i&(r>n))|~((i>~(i))))
| 1 | 1 | 1 | 0 |
entailment
|
((r&(l&((u|n)>(z|r))))|(h&(l>r)))
|
((i&(r>n))|~((i>~(i))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((((n|l)|r)&(h|r))))&i)
|
(((~(z)>(i|h))>r)|~((~(((r|l)>n))|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((i|i)|(((i|i)|(i&n))&l))
|
((l>~(n))|i)
| 1 | 1 | 1 | 0 |
entailment
|
((n&h)&z)
|
(((u&i)&h)>z)
| 1 | 0 | 0 | 0 |
entailment
|
((i|i)|(((i|i)|(i&n))&l))
|
(((u&i)&h)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
((n&h)&z)
|
((l>~(n))|i)
| 0 | 0 | 0 | 0 |
not entailment
|
(i&i)
|
(((h>(i|i))&~(~(l)))|(((h&z)|h)|(z>i)))
| 1 | 0 | 0 | 0 |
entailment
|
(r|r)
|
((i>r)|n)
| 1 | 0 | 0 | 0 |
entailment
|
(i&i)
|
((i>r)|n)
| 0 | 0 | 0 | 0 |
not entailment
|
(r|r)
|
(((h>(i|i))&~(~(l)))|(((h&z)|h)|(z>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((n|l)|~((i&(l|z))))>~((i>(l|i))))
|
((((r|z)|l)>(l|(n&r)))>z)
| 1 | 1 | 0 | 0 |
entailment
|
((r>~((~(z)|(h&r))))&~(r))
|
((n>l)>((((l&n)|r)>~(~(n)))|(u&z)))
| 1 | 0 | 0 | 0 |
entailment
|
(((n|l)|~((i&(l|z))))>~((i>(l|i))))
|
((n>l)>((((l&n)|r)>~(~(n)))|(u&z)))
| 0 | 1 | 0 | 0 |
not entailment
|
((r>~((~(z)|(h&r))))&~(r))
|
((((r|z)|l)>(l|(n&r)))>z)
| 0 | 1 | 0 | 0 |
not entailment
|
((h|h)&(u&i))
|
(((r|n)>h)&(u&~(~(i))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((i>u)|h))
|
((u|n)>(~(r)|n))
| 1 | 0 | 0 | 0 |
entailment
|
((h|h)&(u&i))
|
((u|n)>(~(r)|n))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((i>u)|h))
|
(((r|n)>h)&(u&~(~(i))))
| 0 | 0 | 0 | 0 |
not entailment
|
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