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 |
|---|---|---|---|---|---|---|
((y&(f|(f|j)))&j)
|
(((~(f)>(i|i))>(((f|(f>~(h)))>y)>y))&j)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((h&(y>f))>f))&~((i&((h&h)>j))))
|
(f|h)
| 1 | 1 | 1 | 1 |
entailment
|
((y&(f|(f|j)))&j)
|
(f|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((h&(y>f))>f))&~((i&((h&h)>j))))
|
(((~(f)>(i|i))>(((f|(f>~(h)))>y)>y))&j)
| 0 | 0 | 1 | 0 |
not entailment
|
~(((y|(h&~(j)))|(f>(j>~(h)))))
|
(~(f)|j)
| 1 | 1 | 1 | 0 |
entailment
|
((~(~(~(y)))>((i|(y&h))|(j>y)))&y)
|
~(~(y))
| 1 | 1 | 1 | 1 |
entailment
|
~(((y|(h&~(j)))|(f>(j>~(h)))))
|
~(~(y))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(~(~(y)))>((i|(y&h))|(j>y)))&y)
|
(~(f)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((y>h))|(i|((j|j)|((h|j)>f)))))
|
(f>(y&~((j|(i&f)))))
| 1 | 1 | 1 | 0 |
entailment
|
(((i&(y|j))>~((j|~(h))))&i)
|
~((~((i&i))&h))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((y>h))|(i|((j|j)|((h|j)>f)))))
|
~((~((i&i))&h))
| 0 | 1 | 1 | 0 |
not entailment
|
(((i&(y|j))>~((j|~(h))))&i)
|
(f>(y&~((j|(i&f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(k)&(~(k)>(k>k))))
|
((k&((k|k)>~(k)))|((k|k)|k))
| 1 | 0 | 1 | 1 |
entailment
|
~(((~((k&(k|k)))>((k|k)|k))|k))
|
(((k>k)|k)>~(k))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(k)&(~(k)>(k>k))))
|
(((k>k)|k)>~(k))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((~((k&(k|k)))>((k|k)|k))|k))
|
((k&((k|k)>~(k)))|((k|k)|k))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((k>((k|k)&k))&~((k&(k|k)))))
|
(((k|(k>k))&k)&((k>(k>k))|k))
| 1 | 1 | 1 | 1 |
entailment
|
~((((k&(k|k))>(k>k))>k))
|
~((k&(k&k)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((k>((k|k)&k))&~((k&(k|k)))))
|
~((k&(k&k)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((k&(k|k))>(k>k))>k))
|
(((k|(k>k))&k)&((k>(k>k))|k))
| 0 | 0 | 1 | 1 |
not entailment
|
((((k|~(k))>(k|k))|(~(k)|k))&k)
|
((k|((k&k)|k))&k)
| 1 | 1 | 1 | 1 |
entailment
|
~((k&k))
|
(~(k)&((k&(k>k))>k))
| 1 | 0 | 1 | 0 |
entailment
|
((((k|~(k))>(k|k))|(~(k)|k))&k)
|
(~(k)&((k&(k>k))>k))
| 0 | 1 | 1 | 1 |
not entailment
|
~((k&k))
|
((k|((k&k)|k))&k)
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~((k|((k&k)&(~(k)>(k&k))))))|k)
|
(k&((k>k)|((~((k|~((k&k))))>(k>k))>k)))
| 1 | 0 | 1 | 0 |
entailment
|
((k>~(k))|(k&~((k|k))))
|
(((k|(k>~(k)))>k)>(k>~(k)))
| 1 | 0 | 1 | 1 |
entailment
|
(~(~((k|((k&k)&(~(k)>(k&k))))))|k)
|
(((k|(k>~(k)))>k)>(k>~(k)))
| 0 | 1 | 1 | 0 |
not entailment
|
((k>~(k))|(k&~((k|k))))
|
(k&((k>k)|((~((k|~((k&k))))>(k>k))>k)))
| 0 | 0 | 1 | 1 |
not entailment
|
(k>~((k|k)))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
(~((k&k))>k)
|
~(~((k|k)))
| 1 | 1 | 1 | 1 |
entailment
|
(k>~((k|k)))
|
~(~((k|k)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((k&k))>k)
|
~(k)
| 0 | 1 | 1 | 0 |
not entailment
|
((u|u)&i)
|
(~(((d&(m>d))&(u|m)))>u)
| 1 | 0 | 0 | 0 |
entailment
|
((p&m)&l)
|
(~(h)|m)
| 1 | 1 | 0 | 0 |
entailment
|
((u|u)&i)
|
(~(h)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
((p&m)&l)
|
(~(((d&(m>d))&(u|m)))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((d|(p&(~((l|p))>(i&u))))|(u|p)))
|
~(((((h&i)>i)|(u|d))>~(~(p))))
| 1 | 1 | 0 | 0 |
entailment
|
(u&d)
|
((~((p>l))|h)>((i|u)|((l&d)|m)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d|(p&(~((l|p))>(i&u))))|(u|p)))
|
((~((p>l))|h)>((i|u)|((l&d)|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&d)
|
~(((((h&i)>i)|(u|d))>~(~(p))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(u)|m)&u)&l)
|
(d>(l>m))
| 1 | 1 | 0 | 0 |
entailment
|
((l>(~(p)>h))&h)
|
(((h>l)>d)>(~(((m>p)>(i>m)))|h))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(u)|m)&u)&l)
|
(((h>l)>d)>(~(((m>p)>(i>m)))|h))
| 0 | 0 | 0 | 0 |
not entailment
|
((l>(~(p)>h))&h)
|
(d>(l>m))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i&l))&i)
|
(d>(h|i))
| 1 | 1 | 0 | 0 |
entailment
|
(~((((i|i)|h)|u))&~((p>(u|(i&h)))))
|
~(i)
| 1 | 1 | 1 | 1 |
entailment
|
(~((i&l))&i)
|
~(i)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((((i|i)|h)|u))&~((p>(u|(i&h)))))
|
(d>(h|i))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((d|d))&i)
|
((d>p)|(~(h)&(l|h)))
| 1 | 0 | 0 | 0 |
entailment
|
((m&(h|d))&((u>h)&h))
|
(~((l>l))|((~(h)|(p|m))|(((l>i)&u)>m)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((d|d))&i)
|
(~((l>l))|((~(h)|(p|m))|(((l>i)&u)>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&(h|d))&((u>h)&h))
|
((d>p)|(~(h)&(l|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
((i&~(m))&(((l&i)|u)&p))
|
(((m&~(h))|(m>~((l>m))))|l)
| 1 | 0 | 0 | 0 |
entailment
|
(m&p)
|
((~(u)&m)|u)
| 1 | 0 | 0 | 0 |
entailment
|
((i&~(m))&(((l&i)|u)&p))
|
((~(u)&m)|u)
| 0 | 1 | 1 | 0 |
not entailment
|
(m&p)
|
(((m&~(h))|(m>~((l>m))))|l)
| 0 | 0 | 0 | 0 |
not entailment
|
((l&d)&p)
|
~((((d|l)|(i&h))&~(l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((~(~(l))>~(d))>(u>l))|d)|d))
|
((~(l)|(((i|h)>((h|p)>~(h)))>h))&u)
| 1 | 1 | 0 | 0 |
entailment
|
((l&d)&p)
|
((~(l)|(((i|h)>((h|p)>~(h)))>h))&u)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((~(~(l))>~(d))>(u>l))|d)|d))
|
~((((d|l)|(i&h))&~(l)))
| 0 | 1 | 0 | 0 |
not entailment
|
((i&(p>m))&u)
|
((i|u)|m)
| 1 | 1 | 1 | 1 |
entailment
|
~((l>m))
|
(~(~(((i>l)|m)))|(d>h))
| 1 | 0 | 0 | 0 |
entailment
|
((i&(p>m))&u)
|
(~(~(((i>l)|m)))|(d>h))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l>m))
|
((i|u)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(m))>p))
|
~((((d|(m&i))>p)&((h|(i&p))&~((i|m)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(d)>l))&((d>l)>u))
|
(((~(d)&l)>h)|i)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(m))>p))
|
(((~(d)&l)>h)|i)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(d)>l))&((d>l)>u))
|
~((((d|(m&i))>p)&((h|(i&p))&~((i|m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(l&u))
|
(p>((l|(h>(u>m)))&l))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((p&(h|p))&h)))
|
(l>p)
| 1 | 1 | 0 | 0 |
entailment
|
(h&(l&u))
|
(l>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((p&(h|p))&h)))
|
(p>((l|(h>(u>m)))&l))
| 0 | 1 | 0 | 0 |
not entailment
|
((p&(h|h))&(d&(i&l)))
|
((u&(((((l&h)|l)|(p|u))>m)&(m>l)))>i)
| 1 | 0 | 0 | 0 |
entailment
|
((u>(d|u))>u)
|
((~((~(u)&((i&(l&u))>(h>m))))>(l&i))>u)
| 1 | 0 | 0 | 0 |
entailment
|
((p&(h|h))&(d&(i&l)))
|
((~((~(u)&((i&(l&u))>(h>m))))>(l&i))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
((u>(d|u))>u)
|
((u&(((((l&h)|l)|(p|u))>m)&(m>l)))>i)
| 0 | 0 | 0 | 0 |
not entailment
|
(p|p)
|
(u>p)
| 1 | 1 | 0 | 0 |
entailment
|
((((d&(l>u))&~(((p>i)&m)))|m)&~(m))
|
(((d|m)>(i&u))>((d&u)|((m|(h|h))&h)))
| 1 | 1 | 0 | 0 |
entailment
|
(p|p)
|
(((d|m)>(i&u))>((d&u)|((m|(h|h))&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((d&(l>u))&~(((p>i)&m)))|m)&~(m))
|
(u>p)
| 0 | 1 | 1 | 0 |
not entailment
|
(~((u|l))&((l>(i&h))>(h|h)))
|
(((m>h)>((u>p)>h))|d)
| 1 | 1 | 0 | 0 |
entailment
|
~((m|(i>(l&m))))
|
~((h&m))
| 1 | 1 | 0 | 0 |
entailment
|
(~((u|l))&((l>(i&h))>(h|h)))
|
~((h&m))
| 0 | 1 | 0 | 0 |
not entailment
|
~((m|(i>(l&m))))
|
(((m>h)>((u>p)>h))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
((~((l>i))|(h&~(d)))&~(~((p&i))))
|
(p|(l>i))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((d>~(((~(m)&((h&d)>l))>u))))))
|
~((~(d)&(u|m)))
| 1 | 1 | 1 | 0 |
entailment
|
((~((l>i))|(h&~(d)))&~(~((p&i))))
|
~((~(d)&(u|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((d>~(((~(m)&((h&d)>l))>u))))))
|
(p|(l>i))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(p)&(((p&~(~(i)))&(l>m))|i))
|
(l>i)
| 1 | 1 | 1 | 1 |
entailment
|
(u&d)
|
(d&((h>((h|(p&l))&u))|i))
| 1 | 0 | 0 | 0 |
entailment
|
(~(p)&(((p&~(~(i)))&(l>m))|i))
|
(d&((h>((h|(p&l))&u))|i))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&d)
|
(l>i)
| 0 | 1 | 0 | 0 |
not entailment
|
((i|p)&~((~((m>m))|((i>(p&d))>~(h)))))
|
(m>p)
| 1 | 1 | 1 | 1 |
entailment
|
((~(p)>((h>l)>i))&i)
|
(l>(l&i))
| 1 | 1 | 1 | 0 |
entailment
|
((i|p)&~((~((m>m))|((i>(p&d))>~(h)))))
|
(l>(l&i))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(p)>((h>l)>i))&i)
|
(m>p)
| 0 | 1 | 0 | 0 |
not entailment
|
(d|p)
|
((d|p)|((((~(i)>h)&(i|p))|i)>l))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u|m)|u))
|
((m|(h|h))>(i|h))
| 1 | 0 | 0 | 0 |
entailment
|
(d|p)
|
((m|(h|h))>(i|h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u|m)|u))
|
((d|p)|((((~(i)>h)&(i|p))|i)>l))
| 0 | 0 | 0 | 0 |
not entailment
|
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