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