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 |
|---|---|---|---|---|---|---|
(~(x)&(z|x))
|
~(~(~(~(z))))
| 1 | 0 | 1 | 1 |
entailment
|
~((((x>~((~(a)|a)))&(x|~(z)))|(a|z)))
|
~(~(~(~(z))))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(x)&(z|x))
|
~((~(a)&~(x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((x>~((u&a)))>(x|z))&(a&a))
|
(a|~(~(~(((z&u)|(u>~(a)))))))
| 1 | 0 | 1 | 0 |
entailment
|
~(u)
|
(a|~(~(~(((z&u)|(u>~(a)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((x>~((u&a)))>(x|z))&(a&a))
|
(u>x)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((x&x))|(a>(((x&(a&(z|u)))>z)&u))))
|
((x|x)|z)
| 1 | 1 | 1 | 1 |
entailment
|
~(((a>~(a))>((u&z)&(x&x))))
|
((a&x)>(u&(z|x)))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((x&x))|(a>(((x&(a&(z|u)))>z)&u))))
|
((a&x)>(u&(z|x)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((a>~(a))>((u&z)&(x&x))))
|
((x|x)|z)
| 0 | 1 | 1 | 0 |
not entailment
|
(x|((u|~(a))>x))
|
(u>((x&((z|a)>z))|~(z)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(a)|((z>z)>z))
|
(~(a)|(~((~(~(x))|(~(u)>u)))>z))
| 1 | 0 | 0 | 0 |
entailment
|
(x|((u|~(a))>x))
|
(~(a)|(~((~(~(x))|(~(u)>u)))>z))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(a)|((z>z)>z))
|
(u>((x&((z|a)>z))|~(z)))
| 0 | 0 | 0 | 0 |
not entailment
|
((z>z)&x)
|
~((~(a)&(x>a)))
| 1 | 0 | 0 | 0 |
entailment
|
(z&(z&(z&u)))
|
(((u>u)>((~(z)|u)>u))|z)
| 1 | 0 | 1 | 0 |
entailment
|
((z>z)&x)
|
(((u>u)>((~(z)|u)>u))|z)
| 0 | 0 | 0 | 0 |
not entailment
|
(z&(z&(z&u)))
|
~((~(a)&(x>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z&x)|(a&a))&(x&~(z)))
|
~((u&~(((u>a)&a))))
| 1 | 1 | 0 | 0 |
entailment
|
(u&(x&~(z)))
|
((u&z)|(u&(u|z)))
| 1 | 0 | 1 | 0 |
entailment
|
(((z&x)|(a&a))&(x&~(z)))
|
((u&z)|(u&(u|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&(x&~(z)))
|
~((u&~(((u>a)&a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&~(~((x>(a&(z&(x>(x>x))))))))
|
((x&(u|a))&x)
| 1 | 1 | 0 | 0 |
entailment
|
((~(a)>~((u|z)))&(a&u))
|
((x|((z>(u>x))>u))>(x>u))
| 1 | 1 | 0 | 0 |
entailment
|
(x&~(~((x>(a&(z&(x>(x>x))))))))
|
((x|((z>(u>x))>u))>(x>u))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(a)>~((u|z)))&(a&u))
|
((x&(u|a))&x)
| 0 | 1 | 0 | 0 |
not entailment
|
~((x&(((x|(u|u))|(a&(a&x)))|u)))
|
((u&(u&x))>(((a&u)>(u&x))&a))
| 1 | 1 | 1 | 0 |
entailment
|
((~(z)>u)|a)
|
(((a|~(x))>(a|u))|(x|z))
| 1 | 0 | 0 | 0 |
entailment
|
~((x&(((x|(u|u))|(a&(a&x)))|u)))
|
(((a|~(x))>(a|u))|(x|z))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(z)>u)|a)
|
((u&(u&x))>(((a&u)>(u&x))&a))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&a)
|
((a>((u>x)|u))>(x&(a&x)))
| 1 | 0 | 0 | 0 |
entailment
|
(((a>u)>((~(~(a))>a)>u))&~((x>a)))
|
~((x>(x&a)))
| 1 | 1 | 1 | 0 |
entailment
|
(x&a)
|
~((x>(x&a)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((a>u)>((~(~(a))>a)>u))&~((x>a)))
|
((a>((u>x)|u))>(x&(a&x)))
| 0 | 1 | 1 | 0 |
not entailment
|
(x&(a&u))
|
(((z&(((z>z)&u)>u))|x)|a)
| 1 | 0 | 0 | 0 |
entailment
|
~(((z|(x|u))|(z|z)))
|
((u&u)>z)
| 1 | 1 | 1 | 0 |
entailment
|
(x&(a&u))
|
((u&u)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z|(x|u))|(z|z)))
|
(((z&(((z>z)&u)>u))|x)|a)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((c>((u|w)&m))>(u|(s|w))))
|
(((w|~(s))|~(c))&~(c))
| 1 | 1 | 1 | 1 |
entailment
|
(((u|w)&(s>c))&~((~(m)&c)))
|
~(((c|~(m))&~((u|(u|w)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((c>((u|w)&m))>(u|(s|w))))
|
~(((c|~(m))&~((u|(u|w)))))
| 0 | 1 | 1 | 1 |
not entailment
|
(((u|w)&(s>c))&~((~(m)&c)))
|
(((w|~(s))|~(c))&~(c))
| 0 | 1 | 1 | 1 |
not entailment
|
~(c)
|
(u>(c>(w>~(m))))
| 1 | 0 | 0 | 0 |
entailment
|
(c&u)
|
((s|(u&w))|~(~((c|s))))
| 1 | 0 | 0 | 0 |
entailment
|
~(c)
|
((s|(u&w))|~(~((c|s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&u)
|
(u>(c>(w>~(m))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((s&m)&(c>u))|c)&(~(w)|(m|~(w))))
|
((~((u&~(((s&w)>m))))|c)|(u>m))
| 1 | 1 | 1 | 0 |
entailment
|
(s&s)
|
(s|~(((m>m)|(((s&u)|(u>w))|~(~(s))))))
| 1 | 0 | 0 | 0 |
entailment
|
((((s&m)&(c>u))|c)&(~(w)|(m|~(w))))
|
(s|~(((m>m)|(((s&u)|(u>w))|~(~(s))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(s&s)
|
((~((u&~(((s&w)>m))))|c)|(u>m))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(u))
|
((u|m)|~(~((~(~((u|c)))>s))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((c>(w&s))|(m&~(m))))
|
(((u>s)|((w|(c>~(s)))>(m>c)))&(w>w))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(u))
|
(((u>s)|((w|(c>~(s)))>(m>c)))&(w>w))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((c>(w&s))|(m&~(m))))
|
((u|m)|~(~((~(~((u|c)))>s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&((~(m)>(((m>c)>~(u))>w))>c))
|
((m|(s&(c>s)))>((u|~(u))>((w>m)>c)))
| 1 | 0 | 0 | 0 |
entailment
|
((m&s)|(u&m))
|
(m|(u>m))
| 1 | 1 | 1 | 0 |
entailment
|
(u&((~(m)>(((m>c)>~(u))>w))>c))
|
(m|(u>m))
| 0 | 1 | 1 | 1 |
not entailment
|
((m&s)|(u&m))
|
((m|(s&(c>s)))>((u|~(u))>((w>m)>c)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((s|(m&~(c)))|w)|m))
|
((u>~(w))|c)
| 1 | 1 | 0 | 0 |
entailment
|
(~((c|~(w)))&(u|c))
|
(~(((u&s)|u))|(w&u))
| 1 | 1 | 0 | 0 |
entailment
|
~((((s|(m&~(c)))|w)|m))
|
(~(((u&s)|u))|(w&u))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((c|~(w)))&(u|c))
|
((u>~(w))|c)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((c>(c>m)))&w)
|
(((s&c)&~(w))>~(s))
| 1 | 0 | 0 | 0 |
entailment
|
(s&u)
|
((~(~(~((w&c))))&~(~(~(c))))|s)
| 1 | 0 | 0 | 0 |
entailment
|
(~((c>(c>m)))&w)
|
((~(~(~((w&c))))&~(~(~(c))))|s)
| 0 | 0 | 0 | 0 |
not entailment
|
(s&u)
|
(((s&c)&~(w))>~(s))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((w|~(m)))&u)>c))
|
((w|u)|s)
| 1 | 1 | 0 | 0 |
entailment
|
(m&c)
|
(m&((w|m)&c))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((w|~(m)))&u)>c))
|
(m&((w|m)&c))
| 0 | 1 | 1 | 0 |
not entailment
|
(m&c)
|
((w|u)|s)
| 0 | 0 | 0 | 0 |
not entailment
|
~(c)
|
((~((u|u))|m)|(~(((s>u)&c))|m))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((u&c)&m)|w)>(w&(s&m)))>s))
|
~(w)
| 1 | 1 | 1 | 1 |
entailment
|
~(c)
|
~(w)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((u&c)&m)|w)>(w&(s&m)))>s))
|
((~((u|u))|m)|(~(((s>u)&c))|m))
| 0 | 1 | 1 | 1 |
not entailment
|
(((s>~(s))&c)|s)
|
(u>(s|(s|c)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(w)&~(((m>s)|c)))
|
(c>u)
| 1 | 1 | 0 | 0 |
entailment
|
(((s>~(s))&c)|s)
|
(c>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(w)&~(((m>s)|c)))
|
(u>(s|(s|c)))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(c&s))
|
((((m|c)|s)|(c&((m|w)>~(m))))>(s|s))
| 1 | 0 | 0 | 0 |
entailment
|
(w&m)
|
(((c&~(u))>c)&(c>w))
| 1 | 0 | 0 | 0 |
entailment
|
(c&(c&s))
|
(((c&~(u))>c)&(c>w))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&m)
|
((((m|c)|s)|(c&((m|w)>~(m))))>(s|s))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&w)
|
((~(~(~((u>(c&u)))))|(u>w))>(m>w))
| 1 | 0 | 0 | 0 |
entailment
|
~((m&s))
|
(m>~((w&s)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&w)
|
(m>~((w&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m&s))
|
((~(~(~((u>(c&u)))))|(u>w))>(m>w))
| 0 | 0 | 0 | 0 |
not entailment
|
((w|c)&~(c))
|
(~((c|((u>w)|(s|(c&(m&w))))))>(s|(w&m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((m>w)|~(m)))>(s&m)))
|
(w>(s&((w&~(w))&s)))
| 1 | 1 | 1 | 0 |
entailment
|
((w|c)&~(c))
|
(w>(s&((w&~(w))&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((m>w)|~(m)))>(s&m)))
|
(~((c|((u>w)|(s|(c&(m&w))))))>(s|(w&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(c)
|
(((w|u)>~((w&s)))>(((s&c)>((u&u)&c))|u))
| 1 | 0 | 0 | 0 |
entailment
|
((((c>s)>~(~(c)))>(m&(w&u)))>((m>m)&u))
|
((u|(u&m))|c)
| 1 | 1 | 1 | 1 |
entailment
|
~(c)
|
((u|(u&m))|c)
| 0 | 0 | 0 | 0 |
not entailment
|
((((c>s)>~(~(c)))>(m&(w&u)))>((m>m)&u))
|
(((w|u)>~((w&s)))>(((s&c)>((u&u)&c))|u))
| 0 | 1 | 1 | 0 |
not entailment
|
(((m>(u&c))|u)&(m&w))
|
(((s>m)&(c>(c>u)))|~((w&m)))
| 1 | 0 | 0 | 0 |
entailment
|
(c&(s&w))
|
~(~((m>c)))
| 1 | 0 | 0 | 0 |
entailment
|
(((m>(u&c))|u)&(m&w))
|
~(~((m>c)))
| 0 | 1 | 1 | 1 |
not entailment
|
(c&(s&w))
|
(((s>m)&(c>(c>u)))|~((w&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(m)&s)
|
(~((((m&(m>~(u)))>m)|w))|~(m))
| 1 | 0 | 0 | 0 |
entailment
|
((u>~((~(s)|(u&u))))&(c&w))
|
(((m|(w>m))>((m&s)>(m>m)))&w)
| 1 | 1 | 0 | 0 |
entailment
|
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