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 |
|---|---|---|---|---|---|---|
~(~((b&(((p|~(p))|~(t))&t))))
|
(p|(b&o))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&a)
|
((t|m)|v)
| 0 | 0 | 0 | 0 |
not entailment
|
((p|p)&a)
|
((t>~(~((~(p)>~((b&b))))))>(o>p))
| 1 | 0 | 0 | 0 |
entailment
|
(v&t)
|
(b>v)
| 1 | 1 | 0 | 0 |
entailment
|
((p|p)&a)
|
(b>v)
| 0 | 1 | 0 | 0 |
not entailment
|
(v&t)
|
((t>~(~((~(p)>~((b&b))))))>(o>p))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(~((o&m)))&m)))
|
~((v&~((a|m))))
| 1 | 1 | 0 | 0 |
entailment
|
(p&(b>((o&a)|p)))
|
(v|p)
| 1 | 1 | 0 | 0 |
entailment
|
~(~((~(~((o&m)))&m)))
|
(v|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(p&(b>((o&a)|p)))
|
~((v&~((a|m))))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(p>f))
|
((~(f)>((p|f)&f))|(p>~(p)))
| 1 | 0 | 1 | 0 |
entailment
|
(~((f>(((p|((p&f)|p))&(f>p))>f)))|p)
|
(p|p)
| 1 | 1 | 1 | 1 |
entailment
|
(f&(p>f))
|
(p|p)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((f>(((p|((p&f)|p))&(f>p))>f)))|p)
|
((~(f)>((p|f)&f))|(p>~(p)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((f|(p|(p>(f|p))))>(~((f&f))|p)))
|
(p>~((~(p)>f)))
| 1 | 1 | 1 | 0 |
entailment
|
(f&(f&p))
|
((p|(p>f))>p)
| 1 | 0 | 1 | 0 |
entailment
|
~(((f|(p|(p>(f|p))))>(~((f&f))|p)))
|
((p|(p>f))>p)
| 0 | 1 | 1 | 0 |
not entailment
|
(f&(f&p))
|
(p>~((~(p)>f)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((f>~((p&p))))
|
(~((p&(f&((p&f)&(f&f)))))>~(f))
| 1 | 0 | 1 | 0 |
entailment
|
(f&(f&~(((p|f)&p))))
|
((f>(f&f))&~(((p>~(f))>~((~(p)&f)))))
| 1 | 0 | 1 | 1 |
entailment
|
~((f>~((p&p))))
|
((f>(f&f))&~(((p>~(f))>~((~(p)&f)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(f&(f&~(((p|f)&p))))
|
(~((p&(f&((p&f)&(f&f)))))>~(f))
| 0 | 0 | 1 | 0 |
not entailment
|
(f&f)
|
(p>(((p&p)|~(f))&f))
| 1 | 0 | 0 | 0 |
entailment
|
((f|((p|(f&f))>(f>f)))>((p>p)>p))
|
(~((p|(((f|f)&p)|p)))>(~(f)|p))
| 1 | 1 | 1 | 1 |
entailment
|
(f&f)
|
(~((p|(((f|f)&p)|p)))>(~(f)|p))
| 0 | 0 | 0 | 0 |
not entailment
|
((f|((p|(f&f))>(f>f)))>((p>p)>p))
|
(p>(((p&p)|~(f))&f))
| 0 | 1 | 1 | 1 |
not entailment
|
(((p&p)&(p&p))|(~(~(p))|(p&f)))
|
((f|~((p>f)))|((p|f)&~(f)))
| 1 | 1 | 1 | 0 |
entailment
|
((f|(f|(((f&(p|f))>p)|p)))>~(p))
|
~((((~((~(p)&(p&p)))|p)|p)&p))
| 1 | 1 | 1 | 1 |
entailment
|
(((p&p)&(p&p))|(~(~(p))|(p&f)))
|
~((((~((~(p)&(p&p)))|p)|p)&p))
| 0 | 1 | 1 | 0 |
not entailment
|
((f|(f|(((f&(p|f))>p)|p)))>~(p))
|
((f|~((p>f)))|((p|f)&~(f)))
| 0 | 1 | 1 | 1 |
not entailment
|
((p|f)|p)
|
(p|(f&f))
| 1 | 1 | 1 | 1 |
entailment
|
~((f|(f|f)))
|
(((~((f|p))|~(p))|~(p))|(f>~(p)))
| 1 | 0 | 0 | 0 |
entailment
|
((p|f)|p)
|
(((~((f|p))|~(p))|~(p))|(f>~(p)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((f|(f|f)))
|
(p|(f&f))
| 0 | 1 | 0 | 0 |
not entailment
|
((f>((p>p)>(p|f)))&((f>f)>~((p>f))))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
(f&p)
|
(((p>f)|p)>~(~(f)))
| 1 | 0 | 1 | 0 |
entailment
|
((f>((p>p)>(p|f)))&((f>f)>~((p>f))))
|
(((p>f)|p)>~(~(f)))
| 0 | 1 | 1 | 1 |
not entailment
|
(f&p)
|
~(f)
| 0 | 1 | 1 | 0 |
not entailment
|
(p&p)
|
((f>p)>p)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((f|f)|(p|p)))&(((p>f)&f)>f))
|
(((f>(p&(f&f)))&p)>~(((f|f)&f)))
| 1 | 1 | 1 | 1 |
entailment
|
(p&p)
|
(((f>(p&(f&f)))&p)>~(((f|f)&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((f|f)|(p|p)))&(((p>f)&f)>f))
|
((f>p)>p)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(f)>(f&(p&f)))
|
(f&f)
| 1 | 1 | 1 | 1 |
entailment
|
((~(p)>f)&p)
|
~(~(~((~((p&p))&(p>~((~(f)>f)))))))
| 1 | 0 | 1 | 1 |
entailment
|
(~(f)>(f&(p&f)))
|
~(~(~((~((p&p))&(p>~((~(f)>f)))))))
| 0 | 0 | 1 | 1 |
not entailment
|
((~(p)>f)&p)
|
(f&f)
| 0 | 1 | 1 | 1 |
not entailment
|
((f>p)&((~(f)&(p&f))|(p|p)))
|
((((f&f)>p)>f)|p)
| 1 | 1 | 1 | 0 |
entailment
|
~(((~(~((~((p>(f&p)))|p)))&(f|p))|p))
|
(~((f>p))|(~(p)|f))
| 1 | 1 | 1 | 1 |
entailment
|
((f>p)&((~(f)&(p&f))|(p|p)))
|
(~((f>p))|(~(p)|f))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(~((~((p>(f&p)))|p)))&(f|p))|p))
|
((((f&f)>p)>f)|p)
| 0 | 1 | 1 | 1 |
not entailment
|
(p&(f|f))
|
(f&((~(p)|f)|((f&f)&~(p))))
| 1 | 0 | 1 | 0 |
entailment
|
~((((p&(p|f))&(f>p))>f))
|
~(~(~((((p|p)>(f|f))&(f&f)))))
| 1 | 0 | 1 | 1 |
entailment
|
(p&(f|f))
|
~(~(~((((p|p)>(f|f))&(f&f)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((p&(p|f))&(f>p))>f))
|
(f&((~(p)|f)|((f&f)&~(p))))
| 0 | 0 | 1 | 0 |
not entailment
|
(p&f)
|
~(~(((p>p)>p)))
| 1 | 0 | 1 | 0 |
entailment
|
~((f|p))
|
((f>p)>~(f))
| 1 | 0 | 1 | 0 |
entailment
|
(p&f)
|
((f>p)>~(f))
| 0 | 0 | 1 | 0 |
not entailment
|
~((f|p))
|
~(~(((p>p)>p)))
| 0 | 0 | 1 | 0 |
not entailment
|
((p&(f&f))|((f>p)|p))
|
(((~(p)>f)&p)|(f>(f&p)))
| 1 | 0 | 1 | 1 |
entailment
|
(p|(~(f)>f))
|
(~(~((p|f)))|f)
| 1 | 0 | 1 | 1 |
entailment
|
((p&(f&f))|((f>p)|p))
|
(~(~((p|f)))|f)
| 0 | 1 | 1 | 1 |
not entailment
|
(p|(~(f)>f))
|
(((~(p)>f)&p)|(f>(f&p)))
| 0 | 0 | 1 | 0 |
not entailment
|
((o|o)&(~((o&(o>o)))>(o>o)))
|
(o|o)
| 1 | 1 | 1 | 1 |
entailment
|
(o>(((o|o)>o)&(~(o)|~(o))))
|
~((o|o))
| 1 | 1 | 1 | 1 |
entailment
|
((o|o)&(~((o&(o>o)))>(o>o)))
|
~((o|o))
| 0 | 1 | 1 | 1 |
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 | 1 |
entailment
|
(o>~((o|o)))
|
~((o&o))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(o))
|
~((o&o))
| 0 | 1 | 1 | 0 |
not entailment
|
(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))
| 1 | 0 | 1 | 1 |
entailment
|
~(~((o|((o&o)|(o&o)))))
|
(((o>o)>o)&o)
| 1 | 1 | 1 | 0 |
entailment
|
~((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
|
(((~((e&w))>w)&~(a))&~(~((b&e))))
|
((a>b)>((~(w)|a)>(b&k)))
| 1 | 1 | 0 | 0 |
entailment
|
(((h>b)>(h&b))&(w&p))
|
~(~((p|~((((n|k)>w)&n)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~((e&w))>w)&~(a))&~(~((b&e))))
|
~(~((p|~((((n|k)>w)&n)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((h>b)>(h&b))&(w&p))
|
((a>b)>((~(w)|a)>(b&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((n|p)|e))&(((b|p)|b)>w))
|
((p>e)|~(c))
| 1 | 1 | 0 | 0 |
entailment
|
(((b|n)&(n&b))&(a|~(((k>k)|c))))
|
~((((e&b)|(b&b))>(~(a)|~((~(b)>n)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((n|p)|e))&(((b|p)|b)>w))
|
~((((e&b)|(b&b))>(~(a)|~((~(b)>n)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b|n)&(n&b))&(a|~(((k>k)|c))))
|
((p>e)|~(c))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(c)&w)|(n&b))&(((a&e)|n)&b))
|
((((w|b)>n)>(h>b))>(b|(h|e)))
| 1 | 1 | 0 | 0 |
entailment
|
(((n&(~(w)&a))|~((c|a)))&(h>(k&c)))
|
~((~(~(c))&~(((~(w)&a)|~(c)))))
| 1 | 1 | 1 | 1 |
entailment
|
(((~(c)&w)|(n&b))&(((a&e)|n)&b))
|
~((~(~(c))&~(((~(w)&a)|~(c)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((n&(~(w)&a))|~((c|a)))&(h>(k&c)))
|
((((w|b)>n)>(h>b))>(b|(h|e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((n|k)>(~((p>k))>(p&~(h))))|c))
|
~((~((b&(p>(w|(b>a)))))&k))
| 1 | 1 | 0 | 0 |
entailment
|
(b&(c|~(~(((a|~(p))|((n|a)|p))))))
|
((c|(a|(p>b)))&b)
| 1 | 1 | 1 | 1 |
entailment
|
~((((n|k)>(~((p>k))>(p&~(h))))|c))
|
((c|(a|(p>b)))&b)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(c|~(~(((a|~(p))|((n|a)|p))))))
|
~((~((b&(p>(w|(b>a)))))&k))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((c|w)))|~((b&(p&(k>n))))))
|
(((c>h)&(n>w))|p)
| 1 | 1 | 0 | 0 |
entailment
|
(~((h|(~((n|b))>(w>(c>~(c))))))&(c&e))
|
~(b)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(~((c|w)))|~((b&(p&(k>n))))))
|
~(b)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((h|(~((n|b))>(w>(c>~(c))))))&(c&e))
|
(((c>h)&(n>w))|p)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((((e|k)>~((c&h)))>h)))
|
~(~((h|(b|c))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((e>c)|(n&b)))
|
(~((n&w))|~(~(((n>p)|e))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((e|k)>~((c&h)))>h)))
|
(~((n&w))|~(~(((n>p)|e))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e>c)|(n&b)))
|
~(~((h|(b|c))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((n|(a|w))|~(h)))
|
~(((~(c)&((a|w)>~(e)))&(a&k)))
| 1 | 0 | 0 | 0 |
entailment
|
((p>b)>n)
|
(n|p)
| 1 | 1 | 1 | 1 |
entailment
|
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