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&((c|~(i))&c))|c))>i)&y)
|
~(~(~((((i|c)|i)>~(y)))))
| 1 | 1 | 1 | 1 |
entailment
|
((c&(c&i))&i)
|
~(~(~((((i|c)|i)>~(y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((i&((c|~(i))&c))|c))>i)&y)
|
(~(y)|(~((i&~(i)))>i))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(y))&(c|(c&(i&c))))
|
(c&c)
| 1 | 1 | 1 | 1 |
entailment
|
(c>(~(((y&(y>c))>(i|y)))&(y&i)))
|
((y&c)>(y>i))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(y))&(c|(c&(i&c))))
|
((y&c)>(y>i))
| 0 | 1 | 1 | 0 |
not entailment
|
(c>(~(((y&(y>c))>(i|y)))&(y&i)))
|
(c&c)
| 0 | 1 | 1 | 1 |
not entailment
|
((i|((~(((y>c)|i))&i)&(c&y)))&(c&(y&i)))
|
((y&((c|c)|c))&(c&(i>c)))
| 1 | 1 | 1 | 1 |
entailment
|
~((y|y))
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
((i|((~(((y>c)|i))&i)&(c&y)))&(c&(y&i)))
|
~(y)
| 0 | 1 | 1 | 0 |
not entailment
|
~((y|y))
|
((y&((c|c)|c))&(c&(i>c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((y|y)&(y&y))&(c|(y>~(c))))
|
((i&(i&i))>y)
| 1 | 1 | 0 | 0 |
entailment
|
~(((c>~(i))>y))
|
((i&(c>c))>(~(((c&y)&c))&i))
| 1 | 0 | 1 | 0 |
entailment
|
(((y|y)&(y&y))&(c|(y>~(c))))
|
((i&(c>c))>(~(((c&y)&c))&i))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((c>~(i))>y))
|
((i&(i&i))>y)
| 0 | 1 | 1 | 0 |
not entailment
|
((i|((y&c)|(c>c)))>(~(y)>y))
|
(y&(y|(~(c)&(y|i))))
| 1 | 1 | 1 | 0 |
entailment
|
((y|y)>i)
|
~((y&~(((((y>y)>i)>(i>i))>i))))
| 1 | 0 | 1 | 0 |
entailment
|
((i|((y&c)|(c>c)))>(~(y)>y))
|
~((y&~(((((y>y)>i)>(i>i))>i))))
| 0 | 0 | 1 | 0 |
not entailment
|
((y|y)>i)
|
(y&(y|(~(c)&(y|i))))
| 0 | 0 | 0 | 0 |
not entailment
|
(y|((((i>c)|(c>i))|(c&y))>y))
|
~(~(~((~(c)&(~(y)|~((i>i)))))))
| 1 | 0 | 1 | 1 |
entailment
|
(y>~(~((c&y))))
|
((c|~(y))|i)
| 1 | 1 | 0 | 0 |
entailment
|
(y|((((i>c)|(c>i))|(c&y))>y))
|
((c|~(y))|i)
| 0 | 1 | 1 | 1 |
not entailment
|
(y>~(~((c&y))))
|
~(~(~((~(c)&(~(y)|~((i>i)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&i)
|
((c|i)|~((((y>y)&c)>~(~(~(y))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(y))&((i&y)>y))
|
(((((i&c)>(i&c))>(y>c))&(i|(i&i)))>y)
| 1 | 0 | 0 | 0 |
entailment
|
(c&i)
|
(((((i&c)>(i&c))>(y>c))&(i|(i&i)))>y)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(y))&((i&y)>y))
|
((c|i)|~((((y>y)&c)>~(~(~(y))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(((i|y)&c)|i))
|
(((i>y)|~((((i&c)>i)&(i&i))))|~(~(y)))
| 1 | 0 | 1 | 0 |
entailment
|
((((y|(i|c))&y)|((i|y)>~(c)))>((i>i)&i))
|
(((c|y)&y)>(~(i)>(i&c)))
| 1 | 1 | 1 | 1 |
entailment
|
(y&(((i|y)&c)|i))
|
(((c|y)&y)>(~(i)>(i&c)))
| 0 | 0 | 1 | 0 |
not entailment
|
((((y|(i|c))&y)|((i|y)>~(c)))>((i>i)&i))
|
(((i>y)|~((((i&c)>i)&(i&i))))|~(~(y)))
| 0 | 1 | 1 | 1 |
not entailment
|
(y&(i&y))
|
((i|y)|c)
| 1 | 1 | 0 | 0 |
entailment
|
~((c|i))
|
~((~((i&i))>i))
| 1 | 0 | 1 | 1 |
entailment
|
(y&(i&y))
|
~((~((i&i))>i))
| 0 | 0 | 1 | 0 |
not entailment
|
~((c|i))
|
((i|y)|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(((c>c)|i)&y)
|
~(~(((c|((i&c)|y))&y)))
| 1 | 0 | 1 | 1 |
entailment
|
((i|(y|~(y)))>c)
|
(~(~((c|i)))&(i>(((y|y)|y)>i)))
| 1 | 0 | 1 | 0 |
entailment
|
(((c>c)|i)&y)
|
(~(~((c|i)))&(i>(((y|y)|y)>i)))
| 0 | 0 | 1 | 0 |
not entailment
|
((i|(y|~(y)))>c)
|
~(~(((c|((i&c)|y))&y)))
| 0 | 0 | 1 | 0 |
not entailment
|
((m&m)|((s|m)&~(s)))
|
~(~(m))
| 1 | 1 | 1 | 1 |
entailment
|
((d&s)&d)
|
(d|((d|(d&m))|s))
| 1 | 0 | 0 | 0 |
entailment
|
((m&m)|((s|m)&~(s)))
|
(d|((d|(d&m))|s))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&s)&d)
|
~(~(m))
| 0 | 1 | 0 | 0 |
not entailment
|
((s>~(m))>(s|((s>m)>s)))
|
(((m|((s|d)>m))&~((m&m)))>s)
| 1 | 0 | 0 | 0 |
entailment
|
~(((d|~(s))>(s|d)))
|
(s>m)
| 1 | 1 | 0 | 0 |
entailment
|
((s>~(m))>(s|((s>m)>s)))
|
(s>m)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((d|~(s))>(s|d)))
|
(((m|((s|d)>m))&~((m&m)))>s)
| 0 | 0 | 0 | 0 |
not entailment
|
(s&((m|d)>s))
|
(~(~(s))|((m>~((d>d)))|d))
| 1 | 0 | 1 | 0 |
entailment
|
(((~(s)|(d>s))|(~(s)>(d>s)))&~(~(m)))
|
(m|~(~(d)))
| 1 | 1 | 1 | 0 |
entailment
|
(s&((m|d)>s))
|
(m|~(~(d)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(s)|(d>s))|(~(s)>(d>s)))&~(~(m)))
|
(~(~(s))|((m>~((d>d)))|d))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(((((s&m)>(d|s))>m)|m))>(s>d)))
|
(~(~((d|s)))|~((m>m)))
| 1 | 1 | 1 | 0 |
entailment
|
((s|d)>~(s))
|
~(~((~((~(s)|(s>(s>m))))>~((m|s)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((((s&m)>(d|s))>m)|m))>(s>d)))
|
~(~((~((~(s)|(s>(s>m))))>~((m|s)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((s|d)>~(s))
|
(~(~((d|s)))|~((m>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d>m)>(d&s))
|
(((m&~(s))>(~(m)|d))|~(m))
| 1 | 0 | 1 | 1 |
entailment
|
~(~((~(d)&m)))
|
(s>m)
| 1 | 1 | 0 | 0 |
entailment
|
((d>m)>(d&s))
|
(s>m)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((~(d)&m)))
|
(((m&~(s))>(~(m)|d))|~(m))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((m|(~(m)|d))&(d>((s>(m&d))|(m|m)))))
|
(m|(s&~(m)))
| 1 | 1 | 1 | 1 |
entailment
|
~((((m>(d&(s|s)))>(d|d))>(d>s)))
|
(s>(((d|s)|(((s>m)&s)>m))>((d>m)&m)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((m|(~(m)|d))&(d>((s>(m&d))|(m|m)))))
|
(s>(((d|s)|(((s>m)&s)>m))>((d>m)&m)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((m>(d&(s|s)))>(d|d))>(d>s)))
|
(m|(s&~(m)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((s>~(d)))
|
(((d>d)|~(s))&(d&((s>(s&(s>~(d))))|s)))
| 1 | 0 | 1 | 0 |
entailment
|
((((d|s)>(m|m))|~(s))&m)
|
((d>m)&(d>d))
| 1 | 1 | 1 | 0 |
entailment
|
~((s>~(d)))
|
((d>m)&(d>d))
| 0 | 1 | 0 | 0 |
not entailment
|
((((d|s)>(m|m))|~(s))&m)
|
(((d>d)|~(s))&(d&((s>(s&(s>~(d))))|s)))
| 0 | 0 | 1 | 0 |
not entailment
|
(m&(d&d))
|
(((s|((d|(m>d))|(d|s)))>m)|(s&~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)&~(((m>(s&(~((m|d))>s)))&s)))
|
(((d|m)|m)>~(s))
| 1 | 1 | 1 | 1 |
entailment
|
(m&(d&d))
|
(((d|m)|m)>~(s))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&~(((m>(s&(~((m|d))>s)))&s)))
|
(((s|((d|(m>d))|(d|s)))>m)|(s&~(d)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((d>d)|m)>~(~(~((((d|d)&m)|d))))))
|
~(~((s|((m|d)|m))))
| 1 | 1 | 0 | 0 |
entailment
|
((m>m)>~(m))
|
((d|(m|m))>((m>~(s))|(~(s)&d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((d>d)|m)>~(~(~((((d|d)&m)|d))))))
|
((d|(m|m))>((m>~(s))|(~(s)&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((m>m)>~(m))
|
~(~((s|((m|d)|m))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((d&d))|((m|s)>m))>(d>~((s>m)))))
|
((d>s)>d)
| 1 | 1 | 1 | 1 |
entailment
|
(m|~(~(m)))
|
(m&(d>(s>d)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((d&d))|((m|s)>m))>(d>~((s>m)))))
|
(m&(d>(s>d)))
| 0 | 1 | 1 | 1 |
not entailment
|
(m|~(~(m)))
|
((d>s)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&(m&(d&s)))
|
~(~(((((d&s)|d)|(m|((d>s)|(s>d))))>s)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((m>(~(d)&d))>(d&s)))
|
~(~(~(m)))
| 1 | 1 | 1 | 1 |
entailment
|
(s&(m&(d&s)))
|
~(~(~(m)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((m>(~(d)&d))>(d&s)))
|
~(~(((((d&s)|d)|(m|((d>s)|(s>d))))>s)))
| 0 | 0 | 1 | 0 |
not entailment
|
((d&s)&s)
|
((~(d)>m)&(s|(s|d)))
| 1 | 0 | 0 | 0 |
entailment
|
((m>d)>m)
|
(~((~(m)>m))>((m&(s&s))|m))
| 1 | 0 | 0 | 0 |
entailment
|
((d&s)&s)
|
(~((~(m)>m))>((m&(s&s))|m))
| 0 | 0 | 0 | 0 |
not entailment
|
((m>d)>m)
|
((~(d)>m)&(s|(s|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d|((d&s)&(d>d)))
|
((m|(d>m))>((d&~(s))|(d|(m&(~(d)|s)))))
| 1 | 0 | 0 | 0 |
entailment
|
((s|d)>(~((d&d))&(d&((d|(m&m))|m))))
|
((~((s&m))|d)&~(s))
| 1 | 1 | 1 | 0 |
entailment
|
(d|((d&s)&(d>d)))
|
((~((s&m))|d)&~(s))
| 0 | 0 | 0 | 0 |
not entailment
|
((s|d)>(~((d&d))&(d&((d|(m&m))|m))))
|
((m|(d>m))>((d&~(s))|(d|(m&(~(d)|s)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~(m))&~(~((d&s))))
|
((m&d)&m)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(d)>~((m>(d|~(d))))))
|
~((s&d))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(m))&~(~((d&s))))
|
~((s&d))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(d)>~((m>(d|~(d))))))
|
((m&d)&m)
| 0 | 1 | 1 | 0 |
not entailment
|
((d|(s&m))&~((~((m|d))|s)))
|
((m>d)|~(m))
| 1 | 1 | 1 | 0 |
entailment
|
(((m>(d|m))&(m&s))&~((s>(s&~(m)))))
|
(s|((d>m)|~((d>d))))
| 1 | 1 | 1 | 0 |
entailment
|
((d|(s&m))&~((~((m|d))|s)))
|
(s|((d>m)|~((d>d))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((m>(d|m))&(m&s))&~((s>(s&~(m)))))
|
((m>d)|~(m))
| 0 | 1 | 1 | 1 |
not entailment
|
(((m|m)|s)>m)
|
(((m|s)>(s|(s>d)))>(~(m)>~(s)))
| 1 | 0 | 0 | 0 |
entailment
|
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