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 |
|---|---|---|---|---|---|---|
(((d>h)|u)&d)
|
(((u>k)&d)>~(((k&k)|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k|d)>(k&~(((((a>a)&k)>u)&d))))&u)
|
((~((h|(d&u)))>a)&~(~((u|h))))
| 0 | 1 | 0 | 0 |
not entailment
|
(h|d)
|
((h|d)|d)
| 1 | 0 | 1 | 1 |
entailment
|
(~((u&a))&~((~(((h|k)>(~(a)|h)))>h)))
|
(h>k)
| 1 | 1 | 1 | 1 |
entailment
|
(h|d)
|
(h>k)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((u&a))&~((~(((h|k)>(~(a)|h)))>h)))
|
((h|d)|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&a)
|
(((u>k)|~(d))|(k|a))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(u&u))
|
((u|d)&~(~(d)))
| 1 | 0 | 1 | 1 |
entailment
|
(h&a)
|
((u|d)&~(~(d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(u&u))
|
(((u>k)|~(d))|(k|a))
| 0 | 0 | 0 | 0 |
not entailment
|
((u|d)>~((d>(a>(k>d)))))
|
(((k>d)|((k&h)|(d&d)))|(u>a))
| 1 | 0 | 0 | 0 |
entailment
|
(k&~(((k|~(h))&((~(u)|(k>a))|d))))
|
~(a)
| 1 | 1 | 1 | 1 |
entailment
|
((u|d)>~((d>(a>(k>d)))))
|
~(a)
| 0 | 1 | 1 | 0 |
not entailment
|
(k&~(((k|~(h))&((~(u)|(k>a))|d))))
|
(((k>d)|((k&h)|(d&d)))|(u>a))
| 0 | 1 | 1 | 0 |
not entailment
|
(((k|~(k))&h)&k)
|
((k|(h|(a|h)))&h)
| 1 | 1 | 0 | 0 |
entailment
|
(d&k)
|
(h>(~(u)|d))
| 1 | 0 | 0 | 0 |
entailment
|
(((k|~(k))&h)&k)
|
(h>(~(u)|d))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&k)
|
((k|(h|(a|h)))&h)
| 0 | 0 | 0 | 0 |
not entailment
|
((a|~(h))&((d|(k&d))&h))
|
(~(((k|d)|(d&d)))|(a|k))
| 1 | 1 | 1 | 0 |
entailment
|
(((u|~(d))|((k>d)>~(a)))&~((u>h)))
|
(h>((u|(d>(h>a)))>~(~(u))))
| 1 | 1 | 1 | 0 |
entailment
|
((a|~(h))&((d|(k&d))&h))
|
(h>((u|(d>(h>a)))>~(~(u))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((u|~(d))|((k>d)>~(a)))&~((u>h)))
|
(~(((k|d)|(d&d)))|(a|k))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(((k|(a>k))|d))))
|
((d|h)>(d>k))
| 1 | 1 | 0 | 0 |
entailment
|
(((d|k)>u)&u)
|
(u&(~((((k|u)&~(d))>(a>d)))>(d>h)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((k|(a>k))|d))))
|
(u&(~((((k|u)&~(d))>(a>d)))>(d>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((d|k)>u)&u)
|
((d|h)>(d>k))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&h)
|
((~((d&~(d)))>(a>h))&h)
| 1 | 0 | 0 | 0 |
entailment
|
(((a>u)|k)&u)
|
((((k&a)|u)|(~(~(d))&h))|((a&d)&(d&k)))
| 1 | 0 | 0 | 0 |
entailment
|
(k&h)
|
((((k&a)|u)|(~(~(d))&h))|((a&d)&(d&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a>u)|k)&u)
|
((~((d&~(d)))>(a>h))&h)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(h)>(((k|a)|a)&(h&~(k))))
|
(d>h)
| 1 | 1 | 0 | 0 |
entailment
|
((((a&u)&h)>(a&(k&k)))>((h|a)&(d&k)))
|
((d|a)&((~(u)>(h>u))|k))
| 1 | 1 | 1 | 0 |
entailment
|
(~(h)>(((k|a)|a)&(h&~(k))))
|
((d|a)&((~(u)>(h>u))|k))
| 0 | 1 | 0 | 0 |
not entailment
|
((((a&u)&h)>(a&(k&k)))>((h|a)&(d&k)))
|
(d>h)
| 0 | 1 | 1 | 0 |
not entailment
|
(u|u)
|
(((h|a)|~(k))|(k>u))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((d|h)&~(~(k))))>~((k|h)))|(d&u))
|
(((u&(~((h&~(d)))|d))|(h>a))|k)
| 1 | 1 | 0 | 0 |
entailment
|
(u|u)
|
(((u&(~((h&~(d)))|d))|(h>a))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((d|h)&~(~(k))))>~((k|h)))|(d&u))
|
(((h|a)|~(k))|(k>u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u>a)>~(~(~((a|(d>(u>h))))))))
|
((u>a)|h)
| 1 | 1 | 1 | 1 |
entailment
|
((u&((k|h)|((a>((a&a)&a))>(h&d))))|d)
|
(k|((d>~(~((d>h))))>(h|u)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((u>a)>~(~(~((a|(d>(u>h))))))))
|
(k|((d>~(~((d>h))))>(h|u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&((k|h)|((a>((a&a)&a))>(h&d))))|d)
|
((u>a)|h)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&((((a&h)>a)>a)&(h>d)))
|
(~((h&a))>((u|k)|((k>d)&(k|a))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((((d>u)>k)|~((~(d)|d))))))
|
((a|((k&k)&a))>~(k))
| 1 | 1 | 0 | 0 |
entailment
|
(h&((((a&h)>a)>a)&(h>d)))
|
((a|((k&k)&a))>~(k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((((d>u)>k)|~((~(d)|d))))))
|
(~((h&a))>((u|k)|((k>d)&(k|a))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(k))
|
(u|(k|h))
| 1 | 1 | 0 | 0 |
entailment
|
(a&(h>h))
|
(a|(d>h))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(k))
|
(a|(d>h))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(h>h))
|
(u|(k|h))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&~(((((k|u)|a)>a)>~(k))))
|
(u|(~(a)>a))
| 1 | 1 | 1 | 0 |
entailment
|
(k&~((k>((a|k)>u))))
|
(~(u)&(~((d>k))>~((a>k))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&~(((((k|u)|a)>a)>~(k))))
|
(~(u)&(~((d>k))>~((a>k))))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&~((k>((a|k)>u))))
|
(u|(~(a)>a))
| 0 | 1 | 1 | 0 |
not entailment
|
(k&~(~((k>~(((d&h)&(a|k)))))))
|
(k|((k>d)&u))
| 1 | 1 | 0 | 0 |
entailment
|
((d>h)&~(k))
|
(d>(((~(u)&k)>(a|~(d)))>(k>u)))
| 1 | 0 | 0 | 0 |
entailment
|
(k&~(~((k>~(((d&h)&(a|k)))))))
|
(d>(((~(u)&k)>(a|~(d)))>(k>u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((d>h)&~(k))
|
(k|((k>d)&u))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(w))&(~(~((k>x)))|t))
|
(((j>j)>(s&(s|t)))|w)
| 1 | 1 | 0 | 0 |
entailment
|
(~((o>w))|(x&~(f)))
|
(t>(~(~((f&((j>(f&(f&f)))>t))))>(w>o)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(w))&(~(~((k>x)))|t))
|
(t>(~(~((f&((j>(f&(f&f)))>t))))>(w>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((o>w))|(x&~(f)))
|
(((j>j)>(s&(s|t)))|w)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&(f>w))
|
(s|(((t&(t&e))&(t>t))&(x&(f&o))))
| 1 | 0 | 0 | 0 |
entailment
|
(((o&(p&(f>j)))&~(e))|~((p|(p>p))))
|
(o|((~(w)>f)&e))
| 1 | 1 | 0 | 0 |
entailment
|
(s&(f>w))
|
(o|((~(w)>f)&e))
| 0 | 0 | 0 | 0 |
not entailment
|
(((o&(p&(f>j)))&~(e))|~((p|(p>p))))
|
(s|(((t&(t&e))&(t>t))&(x&(f&o))))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&(t&x))&~((x>k)))
|
~(((t|k)>k))
| 1 | 1 | 1 | 0 |
entailment
|
~(((j|p)|o))
|
(((e&e)|p)>((~((p>s))>x)>e))
| 1 | 0 | 0 | 0 |
entailment
|
((x&(t&x))&~((x>k)))
|
(((e&e)|p)>((~((p>s))>x)>e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j|p)|o))
|
~(((t|k)>k))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((j|(k>j)))&w)
|
(~(((s&(o>k))&p))>(p>k))
| 1 | 0 | 0 | 0 |
entailment
|
~((o>w))
|
(~((e|~(w)))>(x|s))
| 1 | 0 | 0 | 0 |
entailment
|
(~((j|(k>j)))&w)
|
(~((e|~(w)))>(x|s))
| 0 | 0 | 0 | 0 |
not entailment
|
~((o>w))
|
(~(((s&(o>k))&p))>(p>k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((x>~(k)))
|
((p|f)>~(~(k)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((p&o)>~((f>~((w&x))))))
|
((o|j)>(((j|k)>(((s&p)|f)|o))|p))
| 1 | 0 | 0 | 0 |
entailment
|
~((x>~(k)))
|
((o|j)>(((j|k)>(((s&p)|f)|o))|p))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((p&o)>~((f>~((w&x))))))
|
((p|f)>~(~(k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((x&(o>w)))&(j>x))
|
(j>((o>w)|((~(((t|x)|e))>w)&o)))
| 1 | 0 | 0 | 0 |
entailment
|
~((k>(e|(f|t))))
|
(e>k)
| 1 | 1 | 1 | 1 |
entailment
|
(~((x&(o>w)))&(j>x))
|
(e>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((k>(e|(f|t))))
|
(j>((o>w)|((~(((t|x)|e))>w)&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((o|((f|w)&e))>o))
|
((t>e)|~(~(~(w))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((j&f))|(x>o)))
|
((e>p)>f)
| 1 | 1 | 0 | 0 |
entailment
|
~(((o|((f|w)&e))>o))
|
((e>p)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((j&f))|(x>o)))
|
((t>e)|~(~(~(w))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((w&p)|o))&e)
|
(((o&p)>~(j))|~((f|w)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((w&k))|f))
|
(s>k)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((w&p)|o))&e)
|
(s>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((w&k))|f))
|
(((o&p)>~(j))|~((f|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((o|(p|o)))>(f|((t&t)>~(e)))))
|
((j|(f&x))|e)
| 1 | 1 | 0 | 0 |
entailment
|
~(k)
|
((~(((((w>x)>k)&(k>p))&(s&p)))&k)>(k&s))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((o|(p|o)))>(f|((t&t)>~(e)))))
|
((~(((((w>x)>k)&(k>p))&(s&p)))&k)>(k&s))
| 0 | 0 | 0 | 0 |
not entailment
|
~(k)
|
((j|(f&x))|e)
| 0 | 0 | 0 | 0 |
not entailment
|
(((x|(o>t))|(s&(s&f)))&(e&w))
|
(~(t)|(((f|k)&f)|e))
| 1 | 1 | 0 | 0 |
entailment
|
(~((k|((w&x)>f)))&(~(p)&(s>(s&~(f)))))
|
((~(e)&(w&k))|((f|x)&~((s&p))))
| 1 | 1 | 0 | 0 |
entailment
|
(((x|(o>t))|(s&(s&f)))&(e&w))
|
((~(e)&(w&k))|((f|x)&~((s&p))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((k|((w&x)>f)))&(~(p)&(s>(s&~(f)))))
|
(~(t)|(((f|k)&f)|e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((w>w)|j)&s)>(~(f)|p)))
|
((f&~(e))>~(p))
| 1 | 1 | 0 | 0 |
entailment
|
(t&(w&s))
|
(x>w)
| 1 | 1 | 0 | 0 |
entailment
|
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