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 |
---|---|---|---|---|---|---|
(i&(i>((i|q)&~(f))))
|
(((~(k)>f)|k)|((q&~(k))&f))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>k))
|
((q>(q&(s|s)))|~((q>(s|f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((q&k))>(s&(k|s)))&(i&i))
|
((~(i)&((f>i)>s))>(~(q)&~(~(k))))
| 1 | 0 | 0 | 0 |
entailment
|
(((k&s)|~(k))&~(~((~(i)&~(~(s))))))
|
(~(((f>i)>(f>k)))>~(i))
| 1 | 1 | 0 | 0 |
entailment
|
((~((q&k))>(s&(k|s)))&(i&i))
|
(~(((f>i)>(f>k)))>~(i))
| 0 | 1 | 0 | 0 |
not entailment
|
(((k&s)|~(k))&~(~((~(i)&~(~(s))))))
|
((~(i)&((f>i)>s))>(~(q)&~(~(k))))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&s)
|
((~(~(((s>q)>(i&q))))>s)|(s|k))
| 1 | 0 | 0 | 0 |
entailment
|
(f&q)
|
(~((i&(k|((q>f)>s))))|~(~(f)))
| 1 | 0 | 0 | 0 |
entailment
|
(i&s)
|
(~((i&(k|((q>f)>s))))|~(~(f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&q)
|
((~(~(((s>q)>(i&q))))>s)|(s|k))
| 0 | 0 | 0 | 0 |
not entailment
|
((i>k)>~(((q&s)>s)))
|
~(((i&k)&~(~((((i>s)>f)>(f>i))))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&s)
|
((f>s)&(~(s)|(i>i)))
| 1 | 0 | 0 | 0 |
entailment
|
((i>k)>~(((q&s)>s)))
|
((f>s)&(~(s)|(i>i)))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&s)
|
~(((i&k)&~(~((((i>s)>f)>(f>i))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e|c)&(k&(k|c)))
|
(~(c)>e)
| 1 | 1 | 1 | 1 |
entailment
|
(~(c)&(k&~(e)))
|
(((e>k)>c)|~((e&(~(c)>e))))
| 1 | 0 | 1 | 0 |
entailment
|
((e|c)&(k&(k|c)))
|
(((e>k)>c)|~((e&(~(c)>e))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(c)&(k&~(e)))
|
(~(c)>e)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((((c>~(k))|((k|e)|k))&c)))
|
((((k&k)>e)&c)|c)
| 1 | 1 | 1 | 1 |
entailment
|
~(((c|(k&e))&((c&~(k))>((k>c)|k))))
|
(c>((e|e)|(k&c)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((((c>~(k))|((k|e)|k))&c)))
|
(c>((e|e)|(k&c)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((c|(k&e))&((c&~(k))>((k>c)|k))))
|
((((k&k)>e)&c)|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(e&~(k))
|
(~((c|c))>e)
| 1 | 0 | 0 | 0 |
entailment
|
(k|k)
|
(k&k)
| 1 | 1 | 1 | 1 |
entailment
|
(e&~(k))
|
(k&k)
| 0 | 1 | 1 | 0 |
not entailment
|
(k|k)
|
(~((c|c))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
~((e>(c&e)))
|
((c|~((c|(e|(e|k)))))>((e&k)&(c|(e|c))))
| 1 | 0 | 0 | 0 |
entailment
|
(c&k)
|
(((~(k)|c)>e)>(c&k))
| 1 | 0 | 0 | 0 |
entailment
|
~((e>(c&e)))
|
(((~(k)|c)>e)>(c&k))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&k)
|
((c|~((c|(e|(e|k)))))>((e&k)&(c|(e|c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((c|c))|(c|e)))|k)
|
((e|k)|((e&e)|(e|(e&k))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((c|c)|k))
|
(e|(~(c)&(k>e)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((c|c))|(c|e)))|k)
|
(e|(~(c)&(k>e)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((c|c)|k))
|
((e|k)|((e&e)|(e|(e&k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((k>e))>~((~(k)>e)))|c)&(e|(k&c)))
|
(e|k)
| 1 | 1 | 1 | 1 |
entailment
|
((k|e)>(e|e))
|
(k>(e&e))
| 1 | 1 | 1 | 1 |
entailment
|
(((~((k>e))>~((~(k)>e)))|c)&(e|(k&c)))
|
(k>(e&e))
| 0 | 1 | 1 | 1 |
not entailment
|
((k|e)>(e|e))
|
(e|k)
| 0 | 1 | 1 | 0 |
not entailment
|
((e&c)|(c&(e&(e|c))))
|
((k|((e|c)>(e&c)))>((e|e)&c))
| 1 | 0 | 0 | 0 |
entailment
|
((((k>k)&~(e))|(c|(e&e)))>(((e>c)>k)&c))
|
(((e>e)|e)&(e>k))
| 1 | 1 | 1 | 1 |
entailment
|
((e&c)|(c&(e&(e|c))))
|
(((e>e)|e)&(e>k))
| 0 | 1 | 0 | 0 |
not entailment
|
((((k>k)&~(e))|(c|(e&e)))>(((e>c)>k)&c))
|
((k|((e|c)>(e&c)))>((e|e)&c))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(c)|c)&(e&e))
|
(e&~(~(e)))
| 1 | 1 | 1 | 1 |
entailment
|
(k&(((e>(((c>e)|e)>k))|c)>(c>e)))
|
(~(~(((c>e)&(e>k))))&k)
| 1 | 1 | 1 | 0 |
entailment
|
((~(c)|c)&(e&e))
|
(~(~(((c>e)&(e>k))))&k)
| 0 | 0 | 0 | 0 |
not entailment
|
(k&(((e>(((c>e)|e)>k))|c)>(c>e)))
|
(e&~(~(e)))
| 0 | 1 | 1 | 1 |
not entailment
|
((e>(e|k))&(e&k))
|
~(~(e))
| 1 | 1 | 1 | 1 |
entailment
|
(c&(c&c))
|
(c|(((~((e|k))&k)|k)>c))
| 1 | 0 | 0 | 0 |
entailment
|
((e>(e|k))&(e&k))
|
(c|(((~((e|k))&k)|k)>c))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(c&c))
|
~(~(e))
| 0 | 1 | 0 | 0 |
not entailment
|
(((e>k)>e)&c)
|
(e|k)
| 1 | 1 | 1 | 0 |
entailment
|
~(((c>k)&((((e>e)&k)|~(k))|(c>k))))
|
((e&k)>~(e))
| 1 | 1 | 1 | 1 |
entailment
|
(((e>k)>e)&c)
|
((e&k)>~(e))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((c>k)&((((e>e)&k)|~(k))|(c>k))))
|
(e|k)
| 0 | 1 | 1 | 1 |
not entailment
|
(((e|e)&((c&(c&k))>(e|(k|k))))&(k&c))
|
(c&(k>(k>c)))
| 1 | 1 | 1 | 1 |
entailment
|
((k>c)>~(e))
|
~(~(~((((k&(c&c))&(e&e))&e))))
| 1 | 0 | 1 | 0 |
entailment
|
(((e|e)&((c&(c&k))>(e|(k|k))))&(k&c))
|
~(~(~((((k&(c&c))&(e&e))&e))))
| 0 | 1 | 1 | 0 |
not entailment
|
((k>c)>~(e))
|
(c&(k>(k>c)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((e>~(((~(k)|c)&k))))
|
(c&(e&((k&e)|k)))
| 1 | 1 | 1 | 1 |
entailment
|
~((k|c))
|
((e|k)>~(((k|(c>c))>(c|k))))
| 1 | 0 | 0 | 0 |
entailment
|
~((e>~(((~(k)|c)&k))))
|
((e|k)>~(((k|(c>c))>(c|k))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((k|c))
|
(c&(e&((k&e)|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((c&c)&c)>(k&k))))
|
~(((~(c)&c)|~((e|(((c&k)&k)|~(c))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((c|e)>~((k&c)))&(~(c)>(k&c)))
|
(~(k)|(k&c))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((((c&c)&c)>(k&k))))
|
(~(k)|(k&c))
| 0 | 1 | 1 | 0 |
not entailment
|
(((c|e)>~((k&c)))&(~(c)>(k&c)))
|
~(((~(c)&c)|~((e|(((c&k)&k)|~(c))))))
| 0 | 0 | 1 | 0 |
not entailment
|
((z&c)&(~(i)&(((b|i)&m)>(b>i))))
|
(~(z)>z)
| 1 | 1 | 1 | 1 |
entailment
|
((((m&z)|(z&(b|~(z))))>~(((v>a)>z)))>a)
|
(((m|a)|((d|b)|f))|(v&d))
| 1 | 1 | 0 | 0 |
entailment
|
((z&c)&(~(i)&(((b|i)&m)>(b>i))))
|
(((m|a)|((d|b)|f))|(v&d))
| 0 | 1 | 0 | 0 |
not entailment
|
((((m&z)|(z&(b|~(z))))>~(((v>a)>z)))>a)
|
(~(z)>z)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((c|(z>b)))&~(((v>z)&(n|d))))
|
((v&(~(c)&d))|(((f&i)|(d>~((v>a))))|v))
| 1 | 0 | 0 | 0 |
entailment
|
~((i>(((((d|m)|(z|z))>(a|(z&i)))|c)|f)))
|
~((z&(~(m)>i)))
| 1 | 1 | 1 | 0 |
entailment
|
(~((c|(z>b)))&~(((v>z)&(n|d))))
|
~((z&(~(m)>i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((i>(((((d|m)|(z|z))>(a|(z&i)))|c)|f)))
|
((v&(~(c)&d))|(((f&i)|(d>~((v>a))))|v))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f|c)>c)|~(((i>i)&~(m)))))
|
((m|~(i))|(z|(c>(a|d))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((((n&m)&n)>v)))&b)
|
((~(i)|i)&b)
| 1 | 1 | 0 | 0 |
entailment
|
~((((f|c)>c)|~(((i>i)&~(m)))))
|
((~(i)|i)&b)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((((n&m)&n)>v)))&b)
|
((m|~(i))|(z|(c>(a|d))))
| 0 | 1 | 0 | 0 |
not entailment
|
(d|d)
|
(d|z)
| 1 | 1 | 0 | 0 |
entailment
|
((v|b)&~(b))
|
(~((f|(((m|n)&~((n>(z&a))))&c)))|(i|v))
| 1 | 0 | 0 | 0 |
entailment
|
(d|d)
|
(~((f|(((m|n)&~((n>(z&a))))&c)))|(i|v))
| 0 | 0 | 0 | 0 |
not entailment
|
((v|b)&~(b))
|
(d|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(d|(i&z))
|
(i|d)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((a>a)|i)&(f|m))>f))
|
((i&a)|~((c&f)))
| 1 | 1 | 0 | 0 |
entailment
|
(d|(i&z))
|
((i&a)|~((c&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((a>a)|i)&(f|m))>f))
|
(i|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((a>c)))&(c&(d&b)))
|
(((a&~(d))|(c>b))|(~(z)>(v|((f|m)|b))))
| 1 | 0 | 0 | 0 |
entailment
|
((d>~(b))&a)
|
(((z&f)>(z>a))|~(n))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((a>c)))&(c&(d&b)))
|
(((z&f)>(z>a))|~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
((d>~(b))&a)
|
(((a&~(d))|(c>b))|(~(z)>(v|((f|m)|b))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((d&(v&(z&c)))>~(d)))
|
~(~((v>z)))
| 1 | 1 | 1 | 0 |
entailment
|
(((v|v)&b)&((d|v)&(d&~(f))))
|
(((n|(f&f))&z)>(b|~(((m>~(c))|d))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d&(v&(z&c)))>~(d)))
|
(((n|(f&f))&z)>(b|~(((m>~(c))|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((v|v)&b)&((d|v)&(d&~(f))))
|
~(~((v>z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(a&v))
|
(a|~(~(v)))
| 1 | 0 | 1 | 1 |
entailment
|
((d&(m|m))|~((a|((((f>a)>m)&a)>d))))
|
~((~(d)&b))
| 1 | 1 | 0 | 0 |
entailment
|
(z&(a&v))
|
~((~(d)&b))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&(m|m))|~((a|((((f>a)>m)&a)>d))))
|
(a|~(~(v)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((v&i)>d)&(~((m>((d|a)&n)))>a)))
|
(((i>a)&(d&a))>z)
| 1 | 1 | 0 | 0 |
entailment
|
((((m|z)&f)>~((a|(i|n))))&v)
|
(b>v)
| 1 | 1 | 0 | 0 |
entailment
|
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