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>~(y))))|(j>j))&u)
|
(((((a>a)&j)>u)&(u|a))|(a>u))
| 1 | 1 | 0 | 0 |
entailment
|
((((u&m)|m)&y)&((~(u)|j)&j))
|
(((((a>a)&j)>u)&(u|a))|(a>u))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~((y>~(y))))|(j>j))&u)
|
~(~(~(~(y))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((m|j))
|
(~(((((j>j)>j)&m)|m))|((j&m)>a))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((u&m)))&((y&y)&~(a)))
|
((a&(~(~(y))&y))>(y&((y&(~(m)&y))>m)))
| 1 | 0 | 1 | 0 |
entailment
|
~((m|j))
|
((a&(~(~(y))&y))>(y&((y&(~(m)&y))>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((u&m)))&((y&y)&~(a)))
|
(~(((((j>j)>j)&m)|m))|((j&m)>a))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j>(((a>j)|((~(j)&m)&y))&(~(a)|y))))
|
((j|m)|j)
| 1 | 1 | 1 | 0 |
entailment
|
~(~((~(j)&(a&y))))
|
(~((y|(y>u)))|((a|(u&(y>u)))>y))
| 1 | 0 | 0 | 0 |
entailment
|
~((j>(((a>j)|((~(j)&m)&y))&(~(a)|y))))
|
(~((y|(y>u)))|((a|(u&(y>u)))>y))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(j)&(a&y))))
|
((j|m)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
((y|(m&m))&(y&j))
|
(~((~(a)&~(j)))|((u&(y>y))>j))
| 1 | 0 | 0 | 0 |
entailment
|
~(y)
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
((y|(m&m))&(y&j))
|
~(y)
| 0 | 1 | 1 | 0 |
not entailment
|
~(y)
|
(~((~(a)&~(j)))|((u&(y>y))>j))
| 0 | 0 | 0 | 0 |
not entailment
|
(((u|y)|((j&u)>(u|y)))&(y|y))
|
(~((~(m)&~((a|j))))>(j>y))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(((j|m)>((m|m)|y)))>y)|(m&a)))
|
(((((y>(y>m))&m)|~((a|m)))&(a|j))|j)
| 1 | 1 | 1 | 0 |
entailment
|
(((u|y)|((j&u)>(u|y)))&(y|y))
|
(((((y>(y>m))&m)|~((a|m)))&(a|j))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(((j|m)>((m|m)|y)))>y)|(m&a)))
|
(~((~(m)&~((a|j))))>(j>y))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((u>~(y)))&~(((y&m)>a)))
|
(u&(y>y))
| 1 | 1 | 1 | 0 |
entailment
|
(a&((j>a)>y))
|
~(~(a))
| 1 | 1 | 1 | 1 |
entailment
|
(~((u>~(y)))&~(((y&m)>a)))
|
~(~(a))
| 0 | 1 | 1 | 0 |
not entailment
|
(a&((j>a)>y))
|
(u&(y>y))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a>u)>a)&(~(m)&((y>a)|((u&j)&u))))
|
((m|m)>y)
| 1 | 1 | 1 | 0 |
entailment
|
((u|((m|u)&j))&~(((a&m)>((y>a)&y))))
|
~(((~((j|u))&y)&y))
| 1 | 1 | 1 | 1 |
entailment
|
(((a>u)>a)&(~(m)&((y>a)|((u&j)&u))))
|
~(((~((j|u))&y)&y))
| 0 | 1 | 1 | 1 |
not entailment
|
((u|((m|u)&j))&~(((a&m)>((y>a)&y))))
|
((m|m)>y)
| 0 | 1 | 1 | 0 |
not entailment
|
(j&(j|j))
|
((a|a)|j)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~(m)&j)>((j>j)|m)))|y)
|
(y|m)
| 1 | 1 | 1 | 0 |
entailment
|
(j&(j|j))
|
(y|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((~(m)&j)>((j>j)|m)))|y)
|
((a|a)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
((j&a)&(y>~(~((a>j)))))
|
~(~(~(((j|y)&~((a|a))))))
| 1 | 0 | 1 | 0 |
entailment
|
((((a|u)|y)>(~((y>~(a)))|(j&m)))&(j&u))
|
((j|m)>(u|u))
| 1 | 1 | 1 | 0 |
entailment
|
((j&a)&(y>~(~((a>j)))))
|
((j|m)>(u|u))
| 0 | 1 | 0 | 0 |
not entailment
|
((((a|u)|y)>(~((y>~(a)))|(j&m)))&(j&u))
|
~(~(~(((j|y)&~((a|a))))))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(~(~(m)))>m)&((j|u)&u))
|
(~(~(u))|((m|j)>(a>(u|j))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a>((j|j)&a))|u))
|
(a|~(~(y)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(~(m)))>m)&((j|u)&u))
|
(a|~(~(y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>((j|j)&a))|u))
|
(~(~(u))|((m|j)>(a>(u|j))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m>((y>a)&((u&u)|a))))
|
~(~((((m|(m|j))|(a|m))|((a&m)&(m>u)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((y|a)>((j|y)&u))&y)
|
(y|a)
| 1 | 1 | 1 | 0 |
entailment
|
~((m>((y>a)&((u&u)|a))))
|
(y|a)
| 0 | 1 | 1 | 0 |
not entailment
|
(((y|a)>((j|y)&u))&y)
|
~(~((((m|(m|j))|(a|m))|((a&m)&(m>u)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(a)|(y&m))|((y>j)&a)))
|
(u>(~((m|(j>m)))|y))
| 1 | 1 | 0 | 0 |
entailment
|
(m&(((j|j)&y)>(~(a)&u)))
|
(y>(m|~((m|((u|y)|((u|j)&j))))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((~(a)|(y&m))|((y>j)&a)))
|
(y>(m|~((m|((u|y)|((u|j)&j))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(((j|j)&y)>(~(a)&u)))
|
(u>(~((m|(j>m)))|y))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(m)&~((((j|m)&y)>(j&~((u|u))))))
|
((((((a&u)>(a&y))&((j|a)&j))|~(a))>j)>y)
| 1 | 0 | 0 | 0 |
entailment
|
(~((m>(a&j)))&((j>~(a))&u))
|
(m|~((~((y&u))>~(u))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(m)&~((((j|m)&y)>(j&~((u|u))))))
|
(m|~((~((y&u))>~(u))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((m>(a&j)))&((j>~(a))&u))
|
((((((a&u)>(a&y))&((j|a)&j))|~(a))>j)>y)
| 0 | 0 | 0 | 0 |
not entailment
|
(((r|t)|a)&((~(d)|q)&q))
|
(q|(l&(d|t)))
| 1 | 1 | 0 | 0 |
entailment
|
(r&(r&((u>a)|l)))
|
((a&(a|r))>r)
| 1 | 1 | 1 | 0 |
entailment
|
(((r|t)|a)&((~(d)|q)&q))
|
((a&(a|r))>r)
| 0 | 1 | 1 | 0 |
not entailment
|
(r&(r&((u>a)|l)))
|
(q|(l&(d|t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(q|(d&(((u|b)>~(~((u>r))))>u)))
|
(~(~(~(d)))>q)
| 1 | 1 | 1 | 1 |
entailment
|
(a&(t&(b&r)))
|
((a>q)|(t|(t&(b|(a>r)))))
| 1 | 0 | 0 | 0 |
entailment
|
(q|(d&(((u|b)>~(~((u>r))))>u)))
|
((a>q)|(t|(t&(b|(a>r)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(t&(b&r)))
|
(~(~(~(d)))>q)
| 0 | 0 | 0 | 0 |
not entailment
|
(((q&~(r))&(l&q))&(u|(((a>u)|b)>b)))
|
(q|t)
| 1 | 1 | 0 | 0 |
entailment
|
(a|a)
|
((r>((d&q)>~(~(l))))>a)
| 1 | 0 | 0 | 0 |
entailment
|
(((q&~(r))&(l&q))&(u|(((a>u)|b)>b)))
|
((r>((d&q)>~(~(l))))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(a|a)
|
(q|t)
| 0 | 1 | 0 | 0 |
not entailment
|
((a&t)&t)
|
((b>t)|~((u|~((t&q)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((u>(a|u)))&(t>(d|r)))|d)
|
(((r|r)>t)>((q&~(u))|(r|d)))
| 1 | 1 | 0 | 0 |
entailment
|
((a&t)&t)
|
(((r|r)>t)>((q&~(u))|(r|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((u>(a|u)))&(t>(d|r)))|d)
|
((b>t)|~((u|~((t&q)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((l&q)|a)|r)&(t&(t>r)))
|
(((t&(b>t))>(t&r))|a)
| 1 | 1 | 0 | 0 |
entailment
|
((a&r)|~(~(~(((((l>q)|a)>(r|d))|a)))))
|
(~(((t>d)>~((r|d))))>a)
| 1 | 1 | 0 | 0 |
entailment
|
((((l&q)|a)|r)&(t&(t>r)))
|
(~(((t>d)>~((r|d))))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
((a&r)|~(~(~(((((l>q)|a)>(r|d))|a)))))
|
(((t&(b>t))>(t&r))|a)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>d)>d))
|
~(a)
| 1 | 1 | 1 | 1 |
entailment
|
(~((u>~(a)))&(~(r)|d))
|
(r>a)
| 1 | 1 | 1 | 1 |
entailment
|
~(((a>d)>d))
|
(r>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((u>~(a)))&(~(r)|d))
|
~(a)
| 0 | 1 | 1 | 0 |
not entailment
|
(l>~((((u&r)&r)>u)))
|
(~((((r|(u&u))|(a&d))|~(d)))>(l>q))
| 1 | 0 | 0 | 0 |
entailment
|
~((d>t))
|
((d|~((q>q)))|(t|(u|b)))
| 1 | 0 | 0 | 0 |
entailment
|
(l>~((((u&r)&r)>u)))
|
((d|~((q>q)))|(t|(u|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((d>t))
|
(~((((r|(u&u))|(a&d))|~(d)))>(l>q))
| 0 | 0 | 0 | 0 |
not entailment
|
(((q&d)|(r&u))&((l|a)&(u&r)))
|
~(~((u&u)))
| 1 | 1 | 1 | 1 |
entailment
|
((q&t)|(l&a))
|
(((r>a)&~((~((d|r))&b)))|~(~((t|b))))
| 1 | 0 | 0 | 0 |
entailment
|
(((q&d)|(r&u))&((l|a)&(u&r)))
|
(((r>a)&~((~((d|r))&b)))|~(~((t|b))))
| 0 | 0 | 0 | 0 |
not entailment
|
((q&t)|(l&a))
|
~(~((u&u)))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(u&a))
|
(t|u)
| 1 | 1 | 0 | 0 |
entailment
|
((~((a>l))>d)>(~((r>(b|(d&~(l)))))&d))
|
(l>(q|r))
| 1 | 1 | 0 | 0 |
entailment
|
(b&(u&a))
|
(l>(q|r))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((a>l))>d)>(~((r>(b|(d&~(l)))))&d))
|
(t|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(u&t))
|
((~(~(d))|u)|(l>d))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((~(r)&r)))|(q&b))
|
(~((a&q))|(l|b))
| 1 | 1 | 0 | 0 |
entailment
|
(a&(u&t))
|
(~((a&q))|(l|b))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((~(r)&r)))|(q&b))
|
((~(~(d))|u)|(l>d))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d|a)&u)&((b&r)&(u&~((u&q)))))
|
(((b&u)&~(((d|a)|d)))|(q>l))
| 1 | 1 | 0 | 0 |
entailment
|
(b&t)
|
((~((a>d))|q)|t)
| 1 | 0 | 0 | 0 |
entailment
|
(((d|a)&u)&((b&r)&(u&~((u&q)))))
|
((~((a>d))|q)|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&t)
|
(((b&u)&~(((d|a)|d)))|(q>l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&(l|d))
|
((q|l)|(d>r))
| 1 | 1 | 0 | 0 |
entailment
|
~((t|(a>(l|((r>b)&b)))))
|
(r|~(((b|(u&(~((t|(b>r)))>t)))&l)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)&(l|d))
|
(r|~(((b|(u&(~((t|(b>r)))>t)))&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t|(a>(l|((r>b)&b)))))
|
((q|l)|(d>r))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(q)&b)&(l&b))&(r|q))
|
((d|l)|q)
| 1 | 1 | 0 | 0 |
entailment
|
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