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 |
|---|---|---|---|---|---|---|
~((~(f)>k))
|
((k|(l>~(d)))&(d>(e>~(((n&e)>~(k))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(~(l)))|(~(~(y))|(d|e))))
|
(~(~(y))|(y|(~(d)>~((d|(f&k))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((e|~((~(((d&e)|k))|(l>d))))))
|
(y|(~((d|(f>k)))>((~(e)>y)|l)))
| 1 | 1 | 0 | 0 |
entailment
|
~((e|d))
|
(((e|l)>(k>l))|l)
| 1 | 0 | 0 | 0 |
entailment
|
~(~((e|~((~(((d&e)|k))|(l>d))))))
|
(((e|l)>(k>l))|l)
| 0 | 1 | 1 | 0 |
not entailment
|
~((e|d))
|
(y|(~((d|(f>k)))>((~(e)>y)|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&~(((k>d)>n)))&e)
|
((e>e)&~((e>(n&n))))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(((f>f)&(y|(n|l))))>(y&k)))
|
((y|l)>~(((n|n)|y)))
| 1 | 1 | 1 | 1 |
entailment
|
((e&~(((k>d)>n)))&e)
|
((y|l)>~(((n|n)|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((f>f)&(y|(n|l))))>(y&k)))
|
((e>e)&~((e>(n&n))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>k))
|
~((~((k&~(((n&n)&k))))&(k&(e>l))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(k)>~(~(((k&k)&(d&n)))))
|
(l>k)
| 1 | 1 | 0 | 0 |
entailment
|
~((e>k))
|
(l>k)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(k)>~(~(((k&k)&(d&n)))))
|
~((~((k&~(((n&n)&k))))&(k&(e>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
((d>(f&k))&~((f|~(~(d)))))
|
(k>(d>~(d)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((~((n|(l&~(f))))&e)))
|
((~(e)|k)>(((d&n)|l)>~((y&n))))
| 1 | 0 | 0 | 0 |
entailment
|
((d>(f&k))&~((f|~(~(d)))))
|
((~(e)|k)>(((d&n)|l)>~((y&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~((n|(l&~(f))))&e)))
|
(k>(d>~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(f|(f&f))
|
(k>(~(~(f))|(l|((n|d)>(f&y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(k|(k&((n>y)>n)))
|
(y>k)
| 1 | 1 | 1 | 1 |
entailment
|
(f|(f&f))
|
(y>k)
| 0 | 1 | 0 | 0 |
not entailment
|
(k|(k&((n>y)>n)))
|
(k>(~(~(f))|(l|((n|d)>(f&y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((e|(e&l))|(k|e)))
|
(d|((~(e)|k)|(n&~((((f>k)|k)&y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((e|d)&l)&n)
|
(n>l)
| 1 | 1 | 1 | 0 |
entailment
|
~(((e|(e&l))|(k|e)))
|
(n>l)
| 0 | 1 | 0 | 0 |
not entailment
|
(((e|d)&l)&n)
|
(d|((~(e)|k)|(n&~((((f>k)|k)&y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((e>((l&d)&k))>(((y&l)|k)|~((f&y)))))
|
((~(n)>y)|((y>y)>d))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((f>((d&n)&~(y)))>e))))
|
((f&~((n>d)))>e)
| 1 | 1 | 1 | 0 |
entailment
|
~(((e>((l&d)&k))>(((y&l)|k)|~((f&y)))))
|
((f&~((n>d)))>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((f>((d&n)&~(y)))>e))))
|
((~(n)>y)|((y>y)>d))
| 0 | 1 | 1 | 0 |
not entailment
|
~((d>(~(((~(e)>((n>l)&k))>n))&n)))
|
(((n>~(y))|d)&(f>d))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((k&(y>~((~(k)|(~(n)>d)))))))
|
((y&d)>~(n))
| 1 | 1 | 1 | 1 |
entailment
|
~((d>(~(((~(e)>((n>l)&k))>n))&n)))
|
((y&d)>~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((k&(y>~((~(k)|(~(n)>d)))))))
|
(((n>~(y))|d)&(f>d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(d))>((k|(l|y))&e)))
|
(~((d|(e>(l&d))))>((l&(k>n))&(n&(y&y))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(l)&(d>d))
|
~(~((d>~((f&l)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(d))>((k|(l|y))&e)))
|
~(~((d>~((f&l)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(l)&(d>d))
|
(~((d|(e>(l&d))))>((l&(k>n))&(n&(y&y))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(f)
|
~((f&(e|(((k|f)&l)|n))))
| 1 | 0 | 0 | 0 |
entailment
|
(f&y)
|
~(~((f|e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(f)
|
~(~((f|e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&y)
|
~((f&(e|(((k|f)&l)|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((n>n)&n)&k)|(n>(d|f))))
|
~((n>f))
| 1 | 1 | 1 | 1 |
entailment
|
(f&k)
|
~((~((k|e))&~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((n>n)&n)&k)|(n>(d|f))))
|
~((~((k|e))&~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&k)
|
~((n>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(d|d)
|
(~(~(~(~(~(d)))))>f)
| 1 | 0 | 0 | 0 |
entailment
|
~(y)
|
(((~(y)>(k&n))&e)>(e&n))
| 1 | 0 | 0 | 0 |
entailment
|
(d|d)
|
(((~(y)>(k&n))&e)>(e&n))
| 0 | 0 | 0 | 0 |
not entailment
|
~(y)
|
(~(~(~(~(~(d)))))>f)
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>y))
|
(e|(y>(n>(d|~(y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(y&~(~(~(~(~(((l&e)&f)))))))
|
(((y|k)>e)>(l>e))
| 1 | 1 | 0 | 0 |
entailment
|
~((f>y))
|
(((y|k)>e)>(l>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&~(~(~(~(~(((l&e)&f)))))))
|
(e|(y>(n>(d|~(y)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>(t|(o>b)))|p))
|
~(~(~((t&o))))
| 1 | 1 | 1 | 0 |
entailment
|
(~((t>((v&t)>b)))|(((t|(v&p))&o)&f))
|
(t|v)
| 1 | 1 | 1 | 1 |
entailment
|
~(((a>(t|(o>b)))|p))
|
(t|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((t>((v&t)>b)))|(((t|(v&p))&o)&f))
|
~(~(~((t&o))))
| 0 | 1 | 1 | 0 |
not entailment
|
(p&(v|v))
|
(o|(p&(~((t>f))|p)))
| 1 | 0 | 0 | 0 |
entailment
|
((((m|f)&(b&m))&~(p))&((p&v)>a))
|
(a|(b|(((t|b)|a)|((~(p)>o)>o))))
| 1 | 1 | 0 | 0 |
entailment
|
(p&(v|v))
|
(a|(b|(((t|b)|a)|((~(p)>o)>o))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((m|f)&(b&m))&~(p))&((p&v)>a))
|
(o|(p&(~((t>f))|p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&o)
|
(b|(~((o&(t|p)))|((f|a)&(~(o)>b))))
| 1 | 0 | 0 | 0 |
entailment
|
((a|~(b))&((v>(a&m))&~(t)))
|
(a|~((((v>f)&b)&o)))
| 1 | 1 | 0 | 0 |
entailment
|
(f&o)
|
(a|~((((v>f)&b)&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
((a|~(b))&((v>(a&m))&~(t)))
|
(b|(~((o&(t|p)))|((f|a)&(~(o)>b))))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&m)&(a&o))
|
((~((p>~(a)))>a)>~((~(m)&((b|f)&f))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((v|(p>~(o))))&~((b|~(f))))
|
((b>t)&(p>(v|o)))
| 1 | 1 | 0 | 0 |
entailment
|
((f&m)&(a&o))
|
((b>t)&(p>(v|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((v|(p>~(o))))&~((b|~(f))))
|
((~((p>~(a)))>a)>~((~(m)&((b|f)&f))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b&m)>(~(~(o))>~(~((b>p))))))
|
((o>m)>~((o>~((m|~(m))))))
| 1 | 1 | 1 | 0 |
entailment
|
(p&(~(~(((v&v)|b)))>~((v&a))))
|
((((a>t)>((o&t)>b))>(a&o))>p)
| 1 | 1 | 0 | 0 |
entailment
|
~(((b&m)>(~(~(o))>~(~((b>p))))))
|
((((a>t)>((o&t)>b))>(a&o))>p)
| 0 | 1 | 0 | 0 |
not entailment
|
(p&(~(~(((v&v)|b)))>~((v&a))))
|
((o>m)>~((o>~((m|~(m))))))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(v&t))
|
((p&t)|b)
| 1 | 1 | 0 | 0 |
entailment
|
((p&~((a|t)))&(~(~((v>(a>p))))|(t>t)))
|
((((((t>b)&(v|~(a)))>p)&t)&(p>p))>(m&a))
| 1 | 1 | 0 | 0 |
entailment
|
(b&(v&t))
|
((((((t>b)&(v|~(a)))>p)&t)&(p>p))>(m&a))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&~((a|t)))&(~(~((v>(a>p))))|(t>t)))
|
((p&t)|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&b)
|
(((o>f)|(p&a))&(m>b))
| 1 | 0 | 0 | 0 |
entailment
|
((((~((m&b))&m)&(((t&m)>o)|o))&f)&(t>o))
|
(((p&t)&o)>(a|(t>(p>m))))
| 1 | 1 | 0 | 0 |
entailment
|
(f&b)
|
(((p&t)&o)>(a|(t>(p>m))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((~((m&b))&m)&(((t&m)>o)|o))&f)&(t>o))
|
(((o>f)|(p&a))&(m>b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((b|(m&v)))|~(b))>~(v)))
|
((~((a|v))&(((v>o)&p)|b))>(p>(p&m)))
| 1 | 0 | 0 | 0 |
entailment
|
~(v)
|
((v>(~(o)>m))|~((v>f)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((b|(m&v)))|~(b))>~(v)))
|
((v>(~(o)>m))|~((v>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(v)
|
((~((a|v))&(((v>o)&p)|b))>(p>(p&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((m|f)>(f>o))|(m|v)))
|
(((t>f)|a)|((v>t)&v))
| 1 | 1 | 0 | 0 |
entailment
|
(t&b)
|
(t&b)
| 1 | 1 | 1 | 1 |
entailment
|
~((((m|f)>(f>o))|(m|v)))
|
(t&b)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&b)
|
(((t>f)|a)|((v>t)&v))
| 0 | 0 | 0 | 0 |
not entailment
|
~(t)
|
~((o&((o&(~(p)|o))>~((t>b)))))
| 1 | 0 | 0 | 0 |
entailment
|
((m&f)&((m|m)&v))
|
((~(m)>~((f|m)))&(b|~(b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(t)
|
((~(m)>~((f|m)))&(b|~(b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&f)&((m|m)&v))
|
~((o&((o&(~(p)|o))>~((t>b)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b>v)&m)&~((~((((b|m)&o)>~(b)))>f)))
|
(b|p)
| 1 | 1 | 0 | 0 |
entailment
|
(m&~(p))
|
((p&((f|t)&a))>(m>~(t)))
| 1 | 0 | 0 | 0 |
entailment
|
(((b>v)&m)&~((~((((b|m)&o)>~(b)))>f)))
|
((p&((f|t)&a))>(m>~(t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&~(p))
|
(b|p)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((b&(((p|~(p))|~(t))&t))))
|
((t|m)|v)
| 1 | 1 | 0 | 0 |
entailment
|
(p&a)
|
(p|(b&o))
| 1 | 0 | 0 | 0 |
entailment
|
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