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 |
|---|---|---|---|---|---|---|
~(((h&~(h))|(u>y)))
|
(u>(y>p))
| 1 | 1 | 0 | 0 |
entailment
|
~(a)
|
~(((((k|f)&~(k))|n)&a))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h&~(h))|(u>y)))
|
~(((((k|f)&~(k))|n)&a))
| 0 | 0 | 0 | 0 |
not entailment
|
~(a)
|
(u>(y>p))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((f&u)&r)>~((y&u))))
|
(f&(f&f))
| 1 | 1 | 1 | 1 |
entailment
|
((u>(k>p))>k)
|
((~(~(h))|(o&o))|k)
| 1 | 0 | 0 | 0 |
entailment
|
~((((f&u)&r)>~((y&u))))
|
((~(~(h))|(o&o))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((u>(k>p))>k)
|
(f&(f&f))
| 0 | 1 | 0 | 0 |
not entailment
|
~((f&(~(~(((o|p)|~((h&p)))))|(h&o))))
|
(~(((f&y)|u))|~(~(~(~((k|u))))))
| 1 | 1 | 0 | 0 |
entailment
|
((a|~((u>a)))>p)
|
(p|(~(((f&y)>f))|~(~((a>(r|f))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((f&(~(~(((o|p)|~((h&p)))))|(h&o))))
|
(p|(~(((f&y)>f))|~(~((a>(r|f))))))
| 0 | 1 | 0 | 0 |
not entailment
|
((a|~((u>a)))>p)
|
(~(((f&y)|u))|~(~(~(~((k|u))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r>(u>o)))
|
(u>r)
| 1 | 1 | 1 | 0 |
entailment
|
(h&(y>((h|n)&a)))
|
(h|k)
| 1 | 1 | 0 | 0 |
entailment
|
~((r>(u>o)))
|
(h|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(y>((h|n)&a)))
|
(u>r)
| 0 | 1 | 0 | 0 |
not entailment
|
(u&a)
|
((f|(r&f))>((u|~(~(y)))|k))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p&h)|(h|((n|n)&f))))
|
((h>(k&o))|o)
| 1 | 1 | 0 | 0 |
entailment
|
(u&a)
|
((h>(k&o))|o)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((p&h)|(h|((n|n)&f))))
|
((f|(r&f))>((u|~(~(y)))|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(o)>((~(f)>(u>h))|o)))
|
(u|~((o|((p|(o&r))>f))))
| 1 | 1 | 0 | 0 |
entailment
|
((n|a)&(~(((f>(a>n))|u))&((o&a)>~(k))))
|
(f|~((p|(y&n))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(o)>((~(f)>(u>h))|o)))
|
(f|~((p|(y&n))))
| 0 | 1 | 0 | 0 |
not entailment
|
((n|a)&(~(((f>(a>n))|u))&((o&a)>~(k))))
|
(u|~((o|((p|(o&r))>f))))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(n>r))
|
(~(r)>a)
| 1 | 1 | 1 | 1 |
entailment
|
(~((f>(h>k)))&((a|o)&(a|(n|f))))
|
(h|f)
| 1 | 1 | 1 | 1 |
entailment
|
(a&(n>r))
|
(h|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((f>(h>k)))&((a|o)&(a|(n|f))))
|
(~(r)>a)
| 0 | 1 | 0 | 0 |
not entailment
|
((n&u)|n)
|
(~(((a&k)|y))|n)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((p&k)))&(a&(a>(n>~(o)))))
|
(~((((r|h)&o)|p))>(o>((h|r)&(~(a)|o))))
| 1 | 0 | 0 | 0 |
entailment
|
((n&u)|n)
|
(~((((r|h)&o)|p))>(o>((h|r)&(~(a)|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((p&k)))&(a&(a>(n>~(o)))))
|
(~(((a&k)|y))|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(f)>~(u))
|
((f&f)|(~(p)|((u>k)|(r|a))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(h)&((y>r)>(u&y)))
|
((h|y)&(y|h))
| 1 | 1 | 1 | 0 |
entailment
|
(~(f)>~(u))
|
((h|y)&(y|h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(h)&((y>r)>(u&y)))
|
((f&f)|(~(p)|((u>k)|(r|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(f)&((k&h)&k))&(p|u))
|
((((h|y)&(y|k))&((r>p)|(p>u)))&((f>y)|n))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((r>h)>(f&k))))
|
((k&f)|(((o&r)|k)>r))
| 1 | 1 | 0 | 0 |
entailment
|
((~(f)&((k&h)&k))&(p|u))
|
((k&f)|(((o&r)|k)>r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((r>h)>(f&k))))
|
((((h|y)&(y|k))&((r>p)|(p>u)))&((f>y)|n))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p>n)|~(r))>k)
|
((r&~((u&u)))|(k|~((n&p))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((p&f)&(k>(a>h)))))
|
(r|p)
| 1 | 1 | 0 | 0 |
entailment
|
(((p>n)|~(r))>k)
|
(r|p)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((p&f)&(k>(a>h)))))
|
((r&~((u&u)))|(k|~((n&p))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k|a)&h)&~(~(((n&(r>(k&u)))&r))))
|
((f>k)|~(((f>p)>((p|f)>(h|n)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((n|(o>~((h>n)))))
|
((o|r)&((r&~(o))>(u>a)))
| 1 | 0 | 0 | 0 |
entailment
|
(((k|a)&h)&~(~(((n&(r>(k&u)))&r))))
|
((o|r)&((r&~(o))>(u>a)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((n|(o>~((h>n)))))
|
((f>k)|~(((f>p)>((p|f)>(h|n)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((p>(n|k)))&f)&h)
|
((a|h)|(k>~(k)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((p&((u&(n|(p|a)))&n))))
|
(a>~((n>~(p))))
| 1 | 1 | 1 | 0 |
entailment
|
((~((p>(n|k)))&f)&h)
|
(a>~((n>~(p))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((p&((u&(n|(p|a)))&n))))
|
((a|h)|(k>~(k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((n|(o|o)))&k)
|
((k>k)&((n&o)>a))
| 1 | 1 | 0 | 0 |
entailment
|
(((h&o)|y)&(o&u))
|
(a|(u|a))
| 1 | 1 | 0 | 0 |
entailment
|
(~((n|(o|o)))&k)
|
(a|(u|a))
| 0 | 1 | 0 | 0 |
not entailment
|
(((h&o)|y)&(o&u))
|
((k>k)&((n&o)>a))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((o>~((n&y)))&(y&p))))
|
(((~(o)|p)|(o>r))|~(o))
| 1 | 1 | 0 | 0 |
entailment
|
((o&y)&((y>h)&~((a|r))))
|
((k&(o|h))|~(k))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((o>~((n&y)))&(y&p))))
|
((k&(o|h))|~(k))
| 0 | 1 | 0 | 0 |
not entailment
|
((o&y)&((y>h)&~((a|r))))
|
(((~(o)|p)|(o>r))|~(o))
| 0 | 1 | 0 | 0 |
not entailment
|
(((n>r)>k)&p)
|
((f|((n>f)|(o&h)))|(~((p|y))>o))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(o)>(y|a)))
|
(~(~((k&o)))>h)
| 1 | 1 | 0 | 0 |
entailment
|
(((n>r)>k)&p)
|
(~(~((k&o)))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(o)>(y|a)))
|
((f|((n>f)|(o&h)))|(~((p|y))>o))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(p)>k)&(u|(p>k)))>((u|~(h))>h)))
|
(p|k)
| 1 | 1 | 1 | 1 |
entailment
|
(h&(h&~((((n>(o&u))|u)>y))))
|
~(~((((((r|p)|y)|a)>p)>h)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(p)>k)&(u|(p>k)))>((u|~(h))>h)))
|
~(~((((((r|p)|y)|a)>p)>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(h&~((((n>(o&u))|u)>y))))
|
(p|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(n&o)
|
(o|k)
| 1 | 1 | 0 | 0 |
entailment
|
((p&(h&r))&(y>(y&u)))
|
(((a|u)|(n&(k>o)))>(u|h))
| 1 | 0 | 0 | 0 |
entailment
|
(n&o)
|
(((a|u)|(n&(k>o)))>(u|h))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&(h&r))&(y>(y&u)))
|
(o|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((r&a)))|(p|h))
|
((k|(h|(a|n)))|p)
| 1 | 1 | 0 | 0 |
entailment
|
~((u>(p&((y|o)&(r|(f>u))))))
|
((p>(p>u))|y)
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((r&a)))|(p|h))
|
((p>(p>u))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((u>(p&((y|o)&(r|(f>u))))))
|
((k|(h|(a|n)))|p)
| 0 | 1 | 0 | 0 |
not entailment
|
((c&(t&f))&(f&(c|~((n>k)))))
|
((n>(f&c))|r)
| 1 | 1 | 0 | 0 |
entailment
|
(~(l)>(l&l))
|
(~(((n|f)>(~(t)>n)))|(~(n)|l))
| 1 | 0 | 0 | 0 |
entailment
|
((c&(t&f))&(f&(c|~((n>k)))))
|
(~(((n|f)>(~(t)>n)))|(~(n)|l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(l)>(l&l))
|
((n>(f&c))|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&((~(r)|~(n))&t))
|
((t|(~((g>r))&g))|~(((((f|r)>z)>k)>g)))
| 1 | 0 | 0 | 0 |
entailment
|
~((c|k))
|
(((l|c)&~((r|(l&r))))>(~(~(f))>l))
| 1 | 0 | 0 | 0 |
entailment
|
(c&((~(r)|~(n))&t))
|
(((l|c)&~((r|(l&r))))>(~(~(f))>l))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c|k))
|
((t|(~((g>r))&g))|~(((((f|r)>z)>k)>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&z)
|
((((c>z)>l)|(t|r))>(k|(g|(g|(z&r)))))
| 1 | 0 | 0 | 0 |
entailment
|
((f&~(~((t>~((n|t))))))&~(k))
|
~(~((~(((g&n)&t))|((~(f)&(k>g))&t))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&z)
|
~(~((~(((g&n)&t))|((~(f)&(k>g))&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&~(~((t>~((n|t))))))&~(k))
|
((((c>z)>l)|(t|r))>(k|(g|(g|(z&r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(n)>(z>~(z))))|(((z&k)&c)|z))
|
((((c|t)|g)|(f|~(f)))&z)
| 1 | 1 | 0 | 0 |
entailment
|
((~(f)>~((l&f)))>~(((g&(g|l))|(l>t))))
|
((((n|(~(((k>g)|n))|r))>g)|n)|(l|(l&r)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(n)>(z>~(z))))|(((z&k)&c)|z))
|
((((n|(~(((k>g)|n))|r))>g)|n)|(l|(l&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(f)>~((l&f)))>~(((g&(g|l))|(l>t))))
|
((((c|t)|g)|(f|~(f)))&z)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&c)
|
(~((n>g))>(t|(k|f)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((k|((r|k)&z)))&~((c|~(r))))
|
(t>(r&(((((t|t)>t)|f)&z)>r)))
| 1 | 1 | 0 | 0 |
entailment
|
(f&c)
|
(t>(r&(((((t|t)>t)|f)&z)>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((k|((r|k)&z)))&~((c|~(r))))
|
(~((n>g))>(t|(k|f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((c|z)&(g|n))>n))&(r>r))
|
(g|n)
| 1 | 1 | 1 | 1 |
entailment
|
~(((r|r)>z))
|
(((l|l)>((k|g)>c))>~((~(n)&(z&c))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((c|z)&(g|n))>n))&(r>r))
|
(((l|l)>((k|g)>c))>~((~(n)&(z&c))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r|r)>z))
|
(g|n)
| 0 | 1 | 0 | 0 |
not entailment
|
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