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 |
|---|---|---|---|---|---|---|
~((t>~(m)))
|
((((h&~(w))&u)>m)|(~(t)>(~(u)&~(m))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((m|w))|~((w>~(w))))
|
((((h&~(w))&u)>m)|(~(t)>(~(u)&~(m))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t>~(m)))
|
((~((w|(m>h)))&t)>(u>~(t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&~((((w|u)>u)&(~(d)|~((t&w))))))
|
(d|(m|(u>d)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((u|h)&~((w>~(~(~(u)))))))
|
((w&u)>((~(~(((m&m)|h)))|~(u))|h))
| 1 | 0 | 0 | 0 |
entailment
|
(u&~((((w|u)>u)&(~(d)|~((t&w))))))
|
((w&u)>((~(~(((m&m)|h)))|~(u))|h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u|h)&~((w>~(~(~(u)))))))
|
(d|(m|(u>d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(h)&u)
|
((m|~(~((m|t))))|~((u>t)))
| 1 | 0 | 0 | 0 |
entailment
|
(((h>t)&((m>d)&d))&(h>(u&d)))
|
(d|~((((t>~(m))>m)|(u|w))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(h)&u)
|
(d|~((((t>~(m))>m)|(u|w))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h>t)&((m>d)&d))&(h>(u&d)))
|
((m|~(~((m|t))))|~((u>t)))
| 0 | 1 | 1 | 0 |
not entailment
|
(u&(m|((h>t)&w)))
|
(((((m>d)|d)|~((m>~(d))))&u)>(u>(m|w)))
| 1 | 0 | 0 | 0 |
entailment
|
(((h&h)>h)&h)
|
(~(u)|(u&(h|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(m|((h>t)&w)))
|
(~(u)|(u&(h|t)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((h&h)>h)&h)
|
(((((m>d)|d)|~((m>~(d))))&u)>(u>(m|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(t&m))
|
(((m|d)|~(w))|((w|(h&w))>(h&m)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&w)
|
((w>~(~(~(t))))>((u>(d&u))|w))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(t&m))
|
((w>~(~(~(t))))>((u>(d&u))|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&w)
|
(((m|d)|~(w))|((w|(h&w))>(h&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&(m>m))|(~(m)>(((m&m)&m)|m)))
|
(~(((m>m)|(~(m)|m)))|m)
| 1 | 1 | 1 | 1 |
entailment
|
~(((m&((m&m)|m))|(m|m)))
|
(((m&(m&(m&m)))>(m|m))&~(((m&m)&(m|m))))
| 1 | 0 | 1 | 0 |
entailment
|
((m&(m>m))|(~(m)>(((m&m)&m)|m)))
|
(((m&(m&(m&m)))>(m|m))&~(((m&m)&(m|m))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((m&((m&m)|m))|(m|m)))
|
(~(((m>m)|(~(m)|m)))|m)
| 0 | 1 | 1 | 0 |
not entailment
|
(((m>m)|((~(m)|m)>m))>(m&m))
|
(m|m)
| 1 | 1 | 1 | 1 |
entailment
|
~(((m|(((m&m)|((m>m)>m))|m))|m))
|
((m&m)>((m|~((m|m)))&((m&m)>~(m))))
| 1 | 0 | 1 | 1 |
entailment
|
(((m>m)|((~(m)|m)>m))>(m&m))
|
((m&m)>((m|~((m|m)))&((m&m)>~(m))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((m|(((m&m)|((m>m)>m))|m))|m))
|
(m|m)
| 0 | 1 | 1 | 1 |
not entailment
|
(m|m)
|
((((m&m)|(m>m))&(~(m)&((m&m)&m)))|m)
| 1 | 0 | 1 | 0 |
entailment
|
(~(m)&~((m&m)))
|
~(((m|m)&(m&(m&m))))
| 1 | 0 | 1 | 1 |
entailment
|
(m|m)
|
~(((m|m)&(m&(m&m))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(m)&~((m&m)))
|
((((m&m)|(m>m))&(~(m)&((m&m)&m)))|m)
| 0 | 0 | 1 | 0 |
not entailment
|
((m>m)>m)
|
~((m>((m|m)&~(~(~((~(m)|m)))))))
| 1 | 0 | 1 | 1 |
entailment
|
~((~(~(((m&~(m))&m)))|m))
|
~(~(~((m&m))))
| 1 | 1 | 1 | 1 |
entailment
|
((m>m)>m)
|
~(~(~((m&m))))
| 0 | 0 | 1 | 1 |
not entailment
|
~((~(~(((m&~(m))&m)))|m))
|
~((m>((m|m)&~(~(~((~(m)|m)))))))
| 0 | 0 | 1 | 1 |
not entailment
|
((m>((m|m)&m))>m)
|
((~(m)|(m|m))&m)
| 1 | 1 | 1 | 1 |
entailment
|
~(((m&m)&(~((m>(m|~(m))))>m)))
|
~((~(m)>(~((m>m))|(m|m))))
| 1 | 1 | 1 | 1 |
entailment
|
((m>((m|m)&m))>m)
|
~((~(m)>(~((m>m))|(m|m))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((m&m)&(~((m>(m|~(m))))>m)))
|
((~(m)|(m|m))&m)
| 0 | 1 | 1 | 1 |
not entailment
|
(m|m)
|
(((~((m|m))&m)&~((m>m)))|m)
| 1 | 0 | 1 | 0 |
entailment
|
(((m>m)>(m>~((m>m))))&~(m))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
(m|m)
|
~(m)
| 0 | 1 | 1 | 0 |
not entailment
|
(((m>m)>(m>~((m>m))))&~(m))
|
(((~((m|m))&m)&~((m>m)))|m)
| 0 | 1 | 1 | 1 |
not entailment
|
(((m|(m>m))>((m|m)&(m>m)))&m)
|
(((m>(m>m))&m)|m)
| 1 | 1 | 1 | 1 |
entailment
|
~((((m|m)>(m&m))>m))
|
((m|~((m|(((m>m)&m)|m))))&~((m|(m|m))))
| 1 | 0 | 1 | 1 |
entailment
|
(((m|(m>m))>((m|m)&(m>m)))&m)
|
((m|~((m|(((m>m)&m)|m))))&~((m|(m|m))))
| 0 | 0 | 1 | 1 |
not entailment
|
~((((m|m)>(m&m))>m))
|
(((m>(m>m))&m)|m)
| 0 | 1 | 1 | 1 |
not entailment
|
((~(~(m))|m)>(m&~((m&m))))
|
~((~(~((m|((m>m)>(m|m)))))&(m|(m>m))))
| 1 | 0 | 1 | 1 |
entailment
|
(m|m)
|
~(~(m))
| 1 | 0 | 1 | 1 |
entailment
|
((~(~(m))|m)>(m&~((m&m))))
|
~(~(m))
| 0 | 1 | 1 | 1 |
not entailment
|
(m|m)
|
~((~(~((m|((m>m)>(m|m)))))&(m|(m>m))))
| 0 | 0 | 1 | 0 |
not entailment
|
((s|s)|((s>s)&s))
|
(s&s)
| 1 | 1 | 1 | 1 |
entailment
|
(~((s|s))&~((~(s)&s)))
|
~(s)
| 1 | 1 | 1 | 1 |
entailment
|
((s|s)|((s>s)&s))
|
~(s)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((s|s))&~((~(s)&s)))
|
(s&s)
| 0 | 1 | 1 | 1 |
not entailment
|
(s&(~(s)|s))
|
((s|s)|s)
| 1 | 1 | 1 | 1 |
entailment
|
~(((s|s)&s))
|
(((s>s)|((s>s)>s))>(s>~(s)))
| 1 | 0 | 1 | 0 |
entailment
|
(s&(~(s)|s))
|
(((s>s)|((s>s)>s))>(s>~(s)))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((s|s)&s))
|
((s|s)|s)
| 0 | 1 | 1 | 0 |
not entailment
|
(((s|s)&(~(s)|s))&~(~(((s>(s&s))&s))))
|
((((s>s)|((s&s)>s))&s)&((s|(s|s))|(s>s)))
| 1 | 1 | 1 | 1 |
entailment
|
~(s)
|
(((s&(s&s))|s)>(~(((s>s)|(s|s)))&(s>s)))
| 1 | 0 | 1 | 0 |
entailment
|
(((s|s)&(~(s)|s))&~(~(((s>(s&s))&s))))
|
(((s&(s&s))|s)>(~(((s>s)|(s|s)))&(s>s)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(s)
|
((((s>s)|((s&s)>s))&s)&((s|(s|s))|(s>s)))
| 0 | 0 | 1 | 0 |
not entailment
|
(s|s)
|
(s|((s>s)&s))
| 1 | 0 | 1 | 0 |
entailment
|
~((s&(((s&s)>s)>(s&s))))
|
(s>~(((~(s)&s)>s)))
| 1 | 1 | 1 | 1 |
entailment
|
(s|s)
|
(s>~(((~(s)&s)>s)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((s&(((s&s)>s)>(s&s))))
|
(s|((s>s)&s))
| 0 | 1 | 1 | 1 |
not entailment
|
(s&s)
|
((~(~(~(((s|s)|((s&s)>s)))))&s)|(s&s))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(~((s>s)))>s))
|
((s>(s&~(s)))&((s>s)|s))
| 1 | 0 | 1 | 1 |
entailment
|
(s&s)
|
((s>(s&~(s)))&((s>s)|s))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(~((s>s)))>s))
|
((~(~(~(((s|s)|((s&s)>s)))))&s)|(s&s))
| 0 | 0 | 1 | 1 |
not entailment
|
~(s)
|
((s>~((s&s)))&((s>(s|s))>(s>s)))
| 1 | 0 | 1 | 0 |
entailment
|
((s|(s&s))&((s&s)>(~(~(s))&s)))
|
(((s&(s&s))|s)&(s&s))
| 1 | 1 | 1 | 1 |
entailment
|
~(s)
|
(((s&(s&s))|s)&(s&s))
| 0 | 0 | 1 | 0 |
not entailment
|
((s|(s&s))&((s&s)>(~(~(s))&s)))
|
((s>~((s&s)))&((s>(s|s))>(s>s)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(s)>((s|(s|s))|s)))
|
((s>(s&(s|(s&(s>s)))))&~(((s|s)|s)))
| 1 | 0 | 1 | 0 |
entailment
|
(((s|s)&s)&s)
|
((s|s)&s)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(s)>((s|(s|s))|s)))
|
((s|s)&s)
| 0 | 1 | 1 | 0 |
not entailment
|
(((s|s)&s)&s)
|
((s>(s&(s|(s&(s>s)))))&~(((s|s)|s)))
| 0 | 0 | 1 | 0 |
not entailment
|
(x&z)
|
(((z>~(g))&g)>~((l>~(~(l)))))
| 1 | 0 | 0 | 0 |
entailment
|
((x&i)&j)
|
(~((g|(j&b)))|i)
| 1 | 0 | 0 | 0 |
entailment
|
(x&z)
|
(~((g|(j&b)))|i)
| 0 | 0 | 0 | 0 |
not entailment
|
((x&i)&j)
|
(((z>~(g))&g)>~((l>~(~(l)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&~((((i|z)|b)>a)))
|
(a>i)
| 1 | 1 | 1 | 1 |
entailment
|
(p&(b>(z&(i&b))))
|
~((~((l&i))&~(p)))
| 1 | 0 | 0 | 0 |
entailment
|
(b&~((((i|z)|b)>a)))
|
~((~((l&i))&~(p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&(b>(z&(i&b))))
|
(a>i)
| 0 | 1 | 0 | 0 |
not entailment
|
((j>(a|(~(i)|i)))&~((a>b)))
|
(p|a)
| 1 | 1 | 0 | 0 |
entailment
|
~(((z>~((x|g)))|(g>(i>p))))
|
(((l>i)|l)&((i&z)|~(((z|a)&(j|p)))))
| 1 | 0 | 0 | 0 |
entailment
|
((j>(a|(~(i)|i)))&~((a>b)))
|
(((l>i)|l)&((i&z)|~(((z|a)&(j|p)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z>~((x|g)))|(g>(i>p))))
|
(p|a)
| 0 | 1 | 0 | 0 |
not entailment
|
((x|l)&i)
|
(u|(b|~(~(~(~(i))))))
| 1 | 0 | 0 | 0 |
entailment
|
((z&x)&((l&(l>x))|b))
|
((((a&z)|~(p))&a)|(~(((x>a)&b))|(z|x)))
| 1 | 0 | 0 | 0 |
entailment
|
((x|l)&i)
|
((((a&z)|~(p))&a)|(~(((x>a)&b))|(z|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&x)&((l&(l>x))|b))
|
(u|(b|~(~(~(~(i))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((i>(~((b&l))&(g>b))))&u)
|
(~(((p&j)>b))|((~(b)|(j>l))|a))
| 1 | 0 | 0 | 0 |
entailment
|
(j&p)
|
((~((~(i)>p))|(i&z))>(z&j))
| 1 | 0 | 0 | 0 |
entailment
|
(~((i>(~((b&l))&(g>b))))&u)
|
((~((~(i)>p))|(i&z))>(z&j))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&p)
|
(~(((p&j)>b))|((~(b)|(j>l))|a))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&a)&((u>l)>g))
|
(~(a)>l)
| 1 | 1 | 1 | 0 |
entailment
|
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