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 |
|---|---|---|---|---|---|---|
~(((a>(k>o))|n))
|
(n>((o&(p|~(j)))&o))
| 1 | 0 | 0 | 0 |
entailment
|
~(((k>n)>(~((p>a))|(k>p))))
|
((k>n)|((k>n)|j))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a>(k>o))|n))
|
((k>n)|((k>n)|j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k>n)>(~((p>a))|(k>p))))
|
(n>((o&(p|~(j)))&o))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o|j)>(k>n)))
|
(k|(j|(o|o)))
| 1 | 1 | 1 | 1 |
entailment
|
(((k>(p>p))>~((k&((o&j)>o))))|p)
|
~(((((k|j)&k)&o)&(~(p)&(p>k))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((o|j)>(k>n)))
|
~(((((k|j)&k)&o)&(~(p)&(p>k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k>(p>p))>~((k&((o&j)>o))))|p)
|
(k|(j|(o|o)))
| 0 | 1 | 1 | 1 |
not entailment
|
((a>(n&o))>((o>((a&j)|j))&p))
|
(o>(n>p))
| 1 | 1 | 1 | 1 |
entailment
|
((((p>n)|k)>~(p))&(((~(a)&j)&k)&(j>j)))
|
(j|(n>j))
| 1 | 1 | 1 | 1 |
entailment
|
((a>(n&o))>((o>((a&j)|j))&p))
|
(j|(n>j))
| 0 | 1 | 1 | 1 |
not entailment
|
((((p>n)|k)>~(p))&(((~(a)&j)&k)&(j>j)))
|
(o>(n>p))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(j))
|
((k&((a|n)|(p>p)))>(p>j))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(n)&(j|a)))&(p&(((o>p)>a)>p)))
|
(p|p)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(j))
|
(p|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(n)&(j|a)))&(p&(((o>p)>a)>p)))
|
((k&((a|n)|(p>p)))>(p>j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((j>k)|(p>k)))
|
(((j>(j>(~(o)>(o&(n|o)))))&(k&k))>j)
| 1 | 0 | 0 | 0 |
entailment
|
((a&k)&((n|(a>n))>~((~(n)>k))))
|
(a|~((a|n)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((j>k)|(p>k)))
|
(a|~((a|n)))
| 0 | 1 | 0 | 0 |
not entailment
|
((a&k)&((n|(a>n))>~((~(n)>k))))
|
(((j>(j>(~(o)>(o&(n|o)))))&(k&k))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
~((o|a))
|
((o&(k&j))|(~((j&(k&p)))|(a>o)))
| 1 | 0 | 0 | 0 |
entailment
|
~((o|a))
|
(n>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~(n)
|
((o&(k&j))|(~((j&(k&p)))|(a>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
((o&p)&~((n&(o>p))))
|
((n|(k&k))>~(~((p|o))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((a|o)|p))>a)&n)
|
(o>~(~(((o|n)&n))))
| 1 | 1 | 1 | 0 |
entailment
|
((o&p)&~((n&(o>p))))
|
(o>~(~(((o|n)&n))))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(((a|o)|p))>a)&n)
|
((n|(k&k))>~(~((p|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&p)
|
(~(n)>((j>(o>(a|n)))>(a|p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((p>(a|n))>a)|(n>p))&p))
|
~((~((~((k&a))|((j>~(p))&a)))&o))
| 1 | 0 | 0 | 0 |
entailment
|
(o&p)
|
~((~((~((k&a))|((j>~(p))&a)))&o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((p>(a|n))>a)|(n>p))&p))
|
(~(n)>((j>(o>(a|n)))>(a|p)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((n&k)|(p>o))|j))
|
~(~(((p>(n&(~(~(j))|p)))>((o>n)&n))))
| 1 | 0 | 1 | 0 |
entailment
|
(o&a)
|
((a>o)&a)
| 1 | 0 | 1 | 0 |
entailment
|
~((((n&k)|(p>o))|j))
|
((a>o)&a)
| 0 | 1 | 0 | 0 |
not entailment
|
(o&a)
|
~(~(((p>(n&(~(~(j))|p)))>((o>n)&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a>o))
|
((((j>k)&(j&o))&((p>p)>o))>n)
| 1 | 0 | 0 | 0 |
entailment
|
((k&((o>o)>(o&p)))&((p&a)&a))
|
(~(((a&o)>j))|((p>j)|j))
| 1 | 1 | 0 | 0 |
entailment
|
~((a>o))
|
(~(((a&o)>j))|((p>j)|j))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&((o>o)>(o&p)))&((p&a)&a))
|
((((j>k)&(j&o))&((p>p)>o))>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(n&(o&(k|~((j|p)))))
|
(((j>o)|n)|((j|~((p>(a|a))))>(a>(p>o))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((j>k)>(o&~((k|(p>k)))))))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
(n&(o&(k|~((j|p)))))
|
~(k)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((j>k)>(o&~((k|(p>k)))))))
|
(((j>o)|n)|((j|~((p>(a|a))))>(a>(p>o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((o|p)&o)>k))
|
(~(k)&(~(j)|((a|((n>o)>(a|j)))&j)))
| 1 | 0 | 0 | 0 |
entailment
|
(a&k)
|
~(~((k|~(a))))
| 1 | 0 | 1 | 0 |
entailment
|
~((((o|p)&o)>k))
|
~(~((k|~(a))))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&k)
|
(~(k)&(~(j)|((a|((n>o)>(a|j)))&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k>~(o))>(~((n|a))>k)))
|
(n>(j&a))
| 1 | 1 | 0 | 0 |
entailment
|
(a&p)
|
~(~((~(a)>(a|a))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((k>~(o))>(~((n|a))>k)))
|
~(~((~(a)>(a|a))))
| 0 | 1 | 1 | 0 |
not entailment
|
(a&p)
|
(n>(j&a))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k&o)|(k>(a&p)))&((n|(~(a)|p))>p))
|
((n>p)|~(k))
| 1 | 1 | 1 | 1 |
entailment
|
(((o>k)&(a&k))&(~(((k|(n>p))>k))>j))
|
((k>(p>p))&(n|k))
| 1 | 1 | 1 | 0 |
entailment
|
(((k&o)|(k>(a&p)))&((n|(~(a)|p))>p))
|
((k>(p>p))&(n|k))
| 0 | 1 | 1 | 0 |
not entailment
|
(((o>k)&(a&k))&(~(((k|(n>p))>k))>j))
|
((n>p)|~(k))
| 0 | 1 | 1 | 0 |
not entailment
|
(((p|k)|p)|~((a|((p&(n>o))|(k>j)))))
|
(n>(~((o|j))>(k|p)))
| 1 | 1 | 1 | 0 |
entailment
|
((~((~(~(p))|p))>(a>(a&k)))>o)
|
~(~(((~(k)>p)>((n&o)|((a>a)&o)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((p|k)|p)|~((a|((p&(n>o))|(k>j)))))
|
~(~(((~(k)>p)>((n&o)|((a>a)&o)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((~(~(p))|p))>(a>(a&k)))>o)
|
(n>(~((o|j))>(k|p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(~((e>(c&e)))&g))
|
(((z>m)|z)&(e|(m>c)))
| 1 | 1 | 0 | 0 |
entailment
|
~((m>(~(z)>((e|c)&(z|e)))))
|
(((g&(c|e))&e)>((e&g)&(c&c)))
| 1 | 1 | 0 | 0 |
entailment
|
(g&(~((e>(c&e)))&g))
|
(((g&(c|e))&e)>((e&g)&(c&c)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((m>(~(z)>((e|c)&(z|e)))))
|
(((z>m)|z)&(e|(m>c)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((z&m)|((e&e)&c))&((z>z)&~(((m>e)&m))))
|
(z|((e|c)|e))
| 1 | 1 | 1 | 1 |
entailment
|
(m&~(((z>z)>(~((g|~(z)))|~((g|e))))))
|
(z>((g&g)|~(e)))
| 1 | 1 | 1 | 0 |
entailment
|
(((z&m)|((e&e)&c))&((z>z)&~(((m>e)&m))))
|
(z>((g&g)|~(e)))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&~(((z>z)>(~((g|~(z)))|~((g|e))))))
|
(z|((e|c)|e))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(m)&~(e))
|
~(~(((~((c&g))|(m>g))&((e>c)|m))))
| 1 | 0 | 0 | 0 |
entailment
|
(e|(~((~(~(g))|~(e)))&~(e)))
|
((g&(z|m))|e)
| 1 | 1 | 0 | 0 |
entailment
|
(~(m)&~(e))
|
((g&(z|m))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(e|(~((~(~(g))|~(e)))&~(e)))
|
~(~(((~((c&g))|(m>g))&((e>c)|m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&z)
|
((g|m)>g)
| 1 | 0 | 0 | 0 |
entailment
|
~(((((c|(e|e))|c)&(m>e))|z))
|
~((e&z))
| 1 | 1 | 1 | 1 |
entailment
|
(g&z)
|
~((e&z))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((c|(e|e))|c)&(m>e))|z))
|
((g|m)>g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e&g)>((~(g)|(c&~(e)))&z)))
|
(~(e)>m)
| 1 | 1 | 0 | 0 |
entailment
|
~(((e|e)|m))
|
~(((e|(c|e))&(((e|c)>e)&m)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((e&g)>((~(g)|(c&~(e)))&z)))
|
~(((e|(c|e))&(((e|c)>e)&m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e|e)|m))
|
(~(e)>m)
| 0 | 1 | 1 | 0 |
not entailment
|
(((z>z)|g)&e)
|
(c>e)
| 1 | 1 | 0 | 0 |
entailment
|
~((m|(g&e)))
|
(g>(~(m)&(c>(e|g))))
| 1 | 0 | 0 | 0 |
entailment
|
(((z>z)|g)&e)
|
(g>(~(m)&(c>(e|g))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m|(g&e)))
|
(c>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((c|((z&g)|c))))&~(g))
|
((((m&e)>((z&e)|c))&c)&~(g))
| 1 | 1 | 0 | 0 |
entailment
|
(z&~(((c|e)&g)))
|
(~((e|(((z|m)|m)>c)))|z)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((c|((z&g)|c))))&~(g))
|
(~((e|(((z|m)|m)>c)))|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(z&~(((c|e)&g)))
|
((((m&e)>((z&e)|c))&c)&~(g))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(c)>g)|g))
|
~(((((g&g)&e)&m)|g))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(m)>~(e))>~(e))&(z&e))
|
((~((~(e)&m))|c)|((c|g)&g))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(c)>g)|g))
|
((~((~(e)&m))|c)|((c|g)&g))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(m)>~(e))>~(e))&(z&e))
|
~(((((g&g)&e)&m)|g))
| 0 | 1 | 0 | 0 |
not entailment
|
((e&(c>g))|(~((e>z))|(z&(m|~((z|z))))))
|
((((m>z)&(c|c))>(z|(c|g)))>(z|(e|e)))
| 1 | 1 | 1 | 0 |
entailment
|
((m|((g>~(z))>m))>(~((z&(m|(m>m))))&g))
|
((((z&m)>m)|e)&~(((g&z)&~(m))))
| 1 | 1 | 0 | 0 |
entailment
|
((e&(c>g))|(~((e>z))|(z&(m|~((z|z))))))
|
((((z&m)>m)|e)&~(((g&z)&~(m))))
| 0 | 1 | 1 | 0 |
not entailment
|
((m|((g>~(z))>m))>(~((z&(m|(m>m))))&g))
|
((((m>z)&(c|c))>(z|(c|g)))>(z|(e|e)))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&z)
|
(~((c|(z&c)))>e)
| 1 | 0 | 0 | 0 |
entailment
|
~((((m>(m&m))&(z&z))|(e|~(~((z|g))))))
|
((g|z)>~((((m&z)>~(((e|e)&e)))>(z|c))))
| 1 | 1 | 0 | 0 |
entailment
|
(c&z)
|
((g|z)>~((((m&z)>~(((e|e)&e)))>(z|c))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((m>(m&m))&(z&z))|(e|~(~((z|g))))))
|
(~((c|(z&c)))>e)
| 0 | 1 | 0 | 0 |
not entailment
|
((e&z)&m)
|
((~(g)|c)|(m&e))
| 1 | 0 | 0 | 0 |
entailment
|
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