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 |
|---|---|---|---|---|---|---|
((~((o|o))|o)&((o|(o&o))&((o>o)>o)))
|
(((o>~(o))>o)&(o>o))
| 1 | 1 | 1 | 1 |
entailment
|
~((((o&o)>(o&(o|o)))&(o|o)))
|
(((o&((o|o)|(o|o)))>(~(~(o))|o))>~(o))
| 1 | 0 | 1 | 1 |
entailment
|
((~((o|o))|o)&((o|(o&o))&((o>o)>o)))
|
(((o&((o|o)|(o|o)))>(~(~(o))|o))>~(o))
| 0 | 0 | 1 | 1 |
not entailment
|
~((((o&o)>(o&(o|o)))&(o|o)))
|
(((o>~(o))>o)&(o>o))
| 0 | 1 | 1 | 1 |
not entailment
|
((o|(o>o))&(o|o))
|
((~(~(o))&~(o))|(o|(~((o>o))&o)))
| 1 | 0 | 1 | 1 |
entailment
|
~(o)
|
~((o|((o|(o&(o>o)))|((o|o)&(o>o)))))
| 1 | 0 | 1 | 0 |
entailment
|
((o|(o>o))&(o|o))
|
~((o|((o|(o&(o>o)))|((o|o)&(o>o)))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(o)
|
((~(~(o))&~(o))|(o|(~((o>o))&o)))
| 0 | 0 | 1 | 0 |
not entailment
|
(o|o)
|
(o|o)
| 1 | 1 | 1 | 1 |
entailment
|
~((o|o))
|
(~((o&o))&(o|~(~((o|~((o|o)))))))
| 1 | 0 | 1 | 0 |
entailment
|
(o|o)
|
(~((o&o))&(o|~(~((o|~((o|o)))))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((o|o))
|
(o|o)
| 0 | 1 | 1 | 0 |
not entailment
|
((((o|((o&~(o))&o))&o)>o)>o)
|
(((o&o)>((o|o)&(o&o)))>((o|o)&o))
| 1 | 0 | 1 | 1 |
entailment
|
~((o|(o|o)))
|
~((o|(~((o&o))>(o|o))))
| 1 | 0 | 1 | 1 |
entailment
|
((((o|((o&~(o))&o))&o)>o)>o)
|
~((o|(~((o&o))>(o|o))))
| 0 | 1 | 1 | 1 |
not entailment
|
~((o|(o|o)))
|
(((o&o)>((o|o)&(o&o)))>((o|o)&o))
| 0 | 0 | 1 | 0 |
not entailment
|
(o&o)
|
((~((o&~(o)))>o)|o)
| 1 | 0 | 1 | 0 |
entailment
|
(o>~(o))
|
~(((~((o&o))>(o|(o|o)))&(o|o)))
| 1 | 0 | 1 | 1 |
entailment
|
(o&o)
|
~(((~((o&o))>(o|(o|o)))&(o|o)))
| 0 | 0 | 1 | 0 |
not entailment
|
(o>~(o))
|
((~((o&~(o)))>o)|o)
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(~(((o>o)&~(o)))))
|
(~(~(o))&((((o>o)>o)>(o&o))&o))
| 1 | 0 | 1 | 1 |
entailment
|
~((o|o))
|
~(~(~(o)))
| 1 | 0 | 1 | 1 |
entailment
|
~(~(~(((o>o)&~(o)))))
|
~(~(~(o)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((o|o))
|
(~(~(o))&((((o>o)>o)>(o&o))&o))
| 0 | 0 | 1 | 0 |
not entailment
|
~(o)
|
(o>~(o))
| 1 | 0 | 1 | 1 |
entailment
|
~(((o|(o>o))>~(((o>o)&o))))
|
(o&(((o|o)&~(o))>((o|o)>o)))
| 1 | 1 | 1 | 1 |
entailment
|
~(o)
|
(o&(((o|o)&~(o))>((o|o)>o)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((o|(o>o))>~(((o>o)&o))))
|
(o>~(o))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~(o)))
|
((o>~(o))&(o|(o>(o>o))))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((o&(((o|((o>o)&o))>(o|o))|(o>o)))))
|
((o|(((o&o)|~((o|o)))>o))&(o|(o|(o&o))))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(o)))
|
((o|(((o&o)|~((o|o)))>o))&(o|(o|(o&o))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((o&(((o|((o>o)&o))>(o|o))|(o>o)))))
|
((o>~(o))&(o|(o>(o>o))))
| 0 | 1 | 1 | 1 |
not entailment
|
~((o&(o>o)))
|
~(((~((o>o))&~(~(((o>o)>o))))|o))
| 1 | 0 | 1 | 1 |
entailment
|
(o&o)
|
((o&o)&o)
| 1 | 0 | 1 | 1 |
entailment
|
~((o&(o>o)))
|
((o&o)&o)
| 0 | 1 | 1 | 1 |
not entailment
|
(o&o)
|
~(((~((o>o))&~(~(((o>o)>o))))|o))
| 0 | 0 | 1 | 0 |
not entailment
|
((t>t)>~((~(e)>(f|~(~(t))))))
|
~(~(~(~(~((~(c)&~(~(t))))))))
| 1 | 0 | 0 | 0 |
entailment
|
(a&t)
|
((k|k)>((p>a)|z))
| 1 | 0 | 0 | 0 |
entailment
|
((t>t)>~((~(e)>(f|~(~(t))))))
|
((k|k)>((p>a)|z))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&t)
|
~(~(~(~(~((~(c)&~(~(t))))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((((e|a)|a)&a)>t)&((f&~(p))>e)))&e)
|
((((p|e)|t)&(c|a))|~(t))
| 1 | 1 | 0 | 0 |
entailment
|
(z&(t|a))
|
(~((~(((f&a)|z))&e))|(m&c))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((((e|a)|a)&a)>t)&((f&~(p))>e)))&e)
|
(~((~(((f&a)|z))&e))|(m&c))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(t|a))
|
((((p|e)|t)&(c|a))|~(t))
| 0 | 0 | 0 | 0 |
not entailment
|
((t|(e&(k&a)))&k)
|
(~((p|a))>(e>(t|p)))
| 1 | 0 | 0 | 0 |
entailment
|
(k&f)
|
(m>(f|(t>c)))
| 1 | 0 | 0 | 0 |
entailment
|
((t|(e&(k&a)))&k)
|
(m>(f|(t>c)))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&f)
|
(~((p|a))>(e>(t|p)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((a&t))&((c&(z&(t&c)))>z)))
|
(m>(~((k&e))>(p>a)))
| 1 | 1 | 0 | 0 |
entailment
|
~((k>((k|e)>((a>k)>a))))
|
((f|(k|f))|~(~(~((~(m)|(c|f))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((a&t))&((c&(z&(t&c)))>z)))
|
((f|(k|f))|~(~(~((~(m)|(c|f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((k>((k|e)>((a>k)>a))))
|
(m>(~((k&e))>(p>a)))
| 0 | 1 | 0 | 0 |
not entailment
|
((c&p)&~((((t|e)>m)>((k>p)&(a>k)))))
|
((k|t)>(e>m))
| 1 | 1 | 1 | 1 |
entailment
|
(f&~(~(f)))
|
(f|e)
| 1 | 1 | 0 | 0 |
entailment
|
((c&p)&~((((t|e)>m)>((k>p)&(a>k)))))
|
(f|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&~(~(f)))
|
((k|t)>(e>m))
| 0 | 1 | 0 | 0 |
not entailment
|
~((a|c))
|
((z|~(a))|(e|(e|(~(p)&(m>(c|a))))))
| 1 | 0 | 0 | 0 |
entailment
|
(c&~((~((f>p))|(f&(((t&f)>z)|f)))))
|
~((~(~(~(((p>m)>e))))&f))
| 1 | 1 | 0 | 0 |
entailment
|
~((a|c))
|
~((~(~(~(((p>m)>e))))&f))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&~((~((f>p))|(f&(((t&f)>z)|f)))))
|
((z|~(a))|(e|(e|(~(p)&(m>(c|a))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f>z)&e)>z))
|
((a|~((m&p)))>((~(z)|m)&(a>a)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((p>(m>(c>e)))>e)))&t)
|
(k|t)
| 1 | 1 | 0 | 0 |
entailment
|
~((((f>z)&e)>z))
|
(k|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((p>(m>(c>e)))>e)))&t)
|
((a|~((m&p)))>((~(z)|m)&(a>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(z&p))
|
((z&(~(t)|z))&t)
| 1 | 0 | 1 | 0 |
entailment
|
(~(t)&~(~(((e|z)|a))))
|
(t>(t>e))
| 1 | 1 | 1 | 1 |
entailment
|
(t&(z&p))
|
(t>(t>e))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(t)&~(~(((e|z)|a))))
|
((z&(~(t)|z))&t)
| 0 | 1 | 1 | 0 |
not entailment
|
(((e>k)|(~(p)>((m&a)&(k|t))))>(e&(m>m)))
|
(~(p)>(e|(z&k)))
| 1 | 1 | 0 | 0 |
entailment
|
(m&f)
|
((m|z)|~((~(t)>((z&t)|p))))
| 1 | 0 | 0 | 0 |
entailment
|
(((e>k)|(~(p)>((m&a)&(k|t))))>(e&(m>m)))
|
((m|z)|~((~(t)>((z&t)|p))))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&f)
|
(~(p)>(e|(z&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((p&(a>z))))
|
((k|c)|~((((z>(a>c))&a)&a)))
| 1 | 0 | 0 | 0 |
entailment
|
((z>~((k>k)))&((m>(c|(m>f)))>t))
|
(~(((c>(c|c))&(e>(e&(f>a)))))>t)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((p&(a>z))))
|
(~(((c>(c|c))&(e>(e&(f>a)))))>t)
| 0 | 0 | 0 | 0 |
not entailment
|
((z>~((k>k)))&((m>(c|(m>f)))>t))
|
((k|c)|~((((z>(a>c))&a)&a)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((k&t)))
|
~((~(((e|z)>k))&(m|p)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((((p|k)&f)>(c|c))&f))&~(~((c&t))))
|
((a|~((f&t)))|~(((m>m)&(t>k))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((k&t)))
|
((a|~((f&t)))|~(((m>m)&(t>k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((((p|k)&f)>(c|c))&f))&~(~((c&t))))
|
~((~(((e|z)>k))&(m|p)))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&(a>a))>p)
|
((t&(f|((p&z)&(k&f))))>p)
| 1 | 0 | 0 | 0 |
entailment
|
(k&((e&p)>~((m>(z|(m>a))))))
|
(k|k)
| 1 | 1 | 1 | 1 |
entailment
|
((t&(a>a))>p)
|
(k|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&((e&p)>~((m>(z|(m>a))))))
|
((t&(f|((p&z)&(k&f))))>p)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(z)|~(~((m&t))))&(e>~(((f>z)>k))))
|
((p>k)>(~(z)|m))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(t))
|
(~(k)>(m|t))
| 1 | 0 | 0 | 0 |
entailment
|
((~(z)|~(~((m&t))))&(e>~(((f>z)>k))))
|
(~(k)>(m|t))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(t))
|
((p>k)>(~(z)|m))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((j&(y|s))|~(j)))|((s&(r&~(a)))&e))
|
(k|(~(j)>r))
| 1 | 1 | 0 | 0 |
entailment
|
(((e>r)&(y&s))&((a>s)|e))
|
((~((~((y>j))>(y&j)))&((s>s)&e))|y)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((j&(y|s))|~(j)))|((s&(r&~(a)))&e))
|
((~((~((y>j))>(y&j)))&((s>s)&e))|y)
| 0 | 1 | 1 | 0 |
not entailment
|
(((e>r)&(y&s))&((a>s)|e))
|
(k|(~(j)>r))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&(~(a)|(e>k)))
|
(~(y)>j)
| 1 | 1 | 0 | 0 |
entailment
|
~(((k&(j>a))>(r&y)))
|
((r&(k|s))|((~(a)|~((j&(s|y))))|k))
| 1 | 0 | 0 | 0 |
entailment
|
(j&(~(a)|(e>k)))
|
((r&(k|s))|((~(a)|~((j&(s|y))))|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k&(j>a))>(r&y)))
|
(~(y)>j)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((s|y))&(a&~(~(k))))
|
((~(j)&j)|((((k|a)>(k|a))>y)>s))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(((~(a)&e)&e)&y))
|
(e|(j>e))
| 1 | 1 | 0 | 0 |
entailment
|
(~((s|y))&(a&~(~(k))))
|
(e|(j>e))
| 0 | 1 | 0 | 0 |
not entailment
|
(y&(((~(a)&e)&e)&y))
|
((~(j)&j)|((((k|a)>(k|a))>y)>s))
| 0 | 0 | 0 | 0 |
not entailment
|
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