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 |
---|---|---|---|---|---|---|
(n&~(f))
|
(n|~(((m>f)&~(~(y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((m>~(e)))&(j|j))
|
((s|(n&~(e)))>e)
| 1 | 1 | 0 | 0 |
entailment
|
(n&~(f))
|
((s|(n&~(e)))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((m>~(e)))&(j|j))
|
(n|~(((m>f)&~(~(y)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((m>j)&~(~(f)))
|
((~(y)|(f&m))|f)
| 1 | 1 | 0 | 0 |
entailment
|
(((e|m)&s)&(f>s))
|
(s&(s>s))
| 1 | 1 | 1 | 0 |
entailment
|
((m>j)&~(~(f)))
|
(s&(s>s))
| 0 | 1 | 0 | 0 |
not entailment
|
(((e|m)&s)&(f>s))
|
((~(y)|(f&m))|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(((f|(j&n))&~(~(f)))&s)
|
(n>s)
| 1 | 1 | 1 | 0 |
entailment
|
~(f)
|
(((f&(f>y))&m)>e)
| 1 | 0 | 0 | 0 |
entailment
|
(((f|(j&n))&~(~(f)))&s)
|
(((f&(f>y))&m)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(f)
|
(n>s)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&~((~(m)>(~((s|s))>n))))
|
~(((f>f)>(y&n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((e|(((~((e>~(n)))>s)&m)>~(y))))
|
(((f>m)&~(n))>((~(y)>j)>m))
| 1 | 1 | 0 | 0 |
entailment
|
(y&~((~(m)>(~((s|s))>n))))
|
(((f>m)&~(n))>((~(y)>j)>m))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e|(((~((e>~(n)))>s)&m)>~(y))))
|
~(((f>f)>(y&n)))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|j)&(f&(j>~(m))))
|
((n>m)|(~((s|((~(f)>(f&n))&j)))>e))
| 1 | 0 | 0 | 0 |
entailment
|
(j|((s&m)&j))
|
~((~((f&(~(~((s&s)))&~(y))))&~(j)))
| 1 | 0 | 0 | 0 |
entailment
|
((s|j)&(f&(j>~(m))))
|
~((~((f&(~(~((s&s)))&~(y))))&~(j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(j|((s&m)&j))
|
((n>m)|(~((s|((~(f)>(f&n))&j)))>e))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((j&f)|f)>(s>y)))
|
(j|(f>s))
| 1 | 1 | 1 | 0 |
entailment
|
~(((m&(f|e))>((y&m)|e)))
|
(e>j)
| 1 | 1 | 0 | 0 |
entailment
|
~((((j&f)|f)>(s>y)))
|
(e>j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((m&(f|e))>((y&m)|e)))
|
(j|(f>s))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((n>(m&n))|~(y)))
|
((s>n)>n)
| 1 | 1 | 0 | 0 |
entailment
|
~((e>~((j&((~((y&f))|~(j))>(n>j))))))
|
((s|m)|((f>j)&j))
| 1 | 1 | 0 | 0 |
entailment
|
~(((n>(m&n))|~(y)))
|
((s|m)|((f>j)&j))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>~((j&((~((y&f))|~(j))>(n>j))))))
|
((s>n)>n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((j&m)|y)>n)
|
((f|(~(((m&e)&y))&((y>n)>(j&e))))>(e|f))
| 1 | 0 | 0 | 0 |
entailment
|
~(m)
|
~((m&(s|~((n>(m&j))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((j&m)|y)>n)
|
~((m&(s|~((n>(m&j))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(m)
|
((f|(~(((m&e)&y))&((y>n)>(j&e))))>(e|f))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((m&m)))>m)&s)
|
(((m&s)|(s|~(m)))|~(m))
| 1 | 0 | 1 | 1 |
entailment
|
(~(j)&((m|e)>m))
|
((y>e)>~(~(~((j&s)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~((m&m)))>m)&s)
|
((y>e)>~(~(~((j&s)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(j)&((m|e)>m))
|
(((m&s)|(s|~(m)))|~(m))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&(u>((u|(l|u))>l)))
|
(~((~((l>((l>u)&u)))>(u&u)))|u)
| 1 | 0 | 1 | 0 |
entailment
|
~(((u|u)|l))
|
((l>u)|((u>l)>(u&l)))
| 1 | 0 | 1 | 0 |
entailment
|
(l&(u>((u|(l|u))>l)))
|
((l>u)|((u>l)>(u&l)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((u|u)|l))
|
(~((~((l>((l>u)&u)))>(u&u)))|u)
| 0 | 0 | 1 | 0 |
not entailment
|
~((l>(l>u)))
|
(l&((l&~(((u|(l>l))&u)))&l))
| 1 | 0 | 1 | 0 |
entailment
|
(u|u)
|
(((l>l)&(u|u))|(((u|u)&~(~(u)))&l))
| 1 | 0 | 0 | 0 |
entailment
|
~((l>(l>u)))
|
(((l>l)&(u|u))|(((u|u)&~(~(u)))&l))
| 0 | 0 | 1 | 0 |
not entailment
|
(u|u)
|
(l&((l&~(((u|(l>l))&u)))&l))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&u)&l)
|
(l|u)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(((l&~(u))|l))))
|
(l>~(u))
| 1 | 1 | 1 | 0 |
entailment
|
((u&u)&l)
|
(l>~(u))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(((l&~(u))|l))))
|
(l|u)
| 0 | 1 | 1 | 0 |
not entailment
|
((l&~(~(((u&l)&l))))|~((l&(u|~(u)))))
|
((l&~((u|l)))|(l>(u|u)))
| 1 | 1 | 1 | 1 |
entailment
|
((l&(u|l))&(l&l))
|
(u|(l|l))
| 1 | 1 | 1 | 1 |
entailment
|
((l&~(~(((u&l)&l))))|~((l&(u|~(u)))))
|
(u|(l|l))
| 0 | 1 | 1 | 1 |
not entailment
|
((l&(u|l))&(l&l))
|
((l&~((u|l)))|(l>(u|u)))
| 0 | 0 | 1 | 0 |
not entailment
|
(u&(l&u))
|
(u&(u|~((l>l))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((u>l)>l))
|
(l>((l|l)>~(u)))
| 1 | 0 | 1 | 1 |
entailment
|
(u&(l&u))
|
(l>((l|l)>~(u)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((u>l)>l))
|
(u&(u|~((l>l))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((l&(l&(~(l)|l)))|u)&u)
|
((~((u&u))>l)>u)
| 1 | 1 | 1 | 0 |
entailment
|
(~((l>((u|u)|((u&(u&u))|~(l)))))&(u|l))
|
(~((u&(l|u)))|~((u&u)))
| 1 | 1 | 1 | 0 |
entailment
|
(((l&(l&(~(l)|l)))|u)&u)
|
(~((u&(l|u)))|~((u&u)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((l>((u|u)|((u&(u&u))|~(l)))))&(u|l))
|
((~((u&u))>l)>u)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(l)&(~(l)&((l&u)|(u|u))))
|
(((l&u)|(u|l))|(~(~((l&(l|l))))&l))
| 1 | 0 | 1 | 1 |
entailment
|
((~(~(~((~(((u|u)|u))|l))))>l)|~(u))
|
(l|~(~(((u&(u>u))>((~(l)|l)&(u&l))))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(l)&(~(l)&((l&u)|(u|u))))
|
(l|~(~(((u&(u>u))>((~(l)|l)&(u&l))))))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(~(~((~(((u|u)|u))|l))))>l)|~(u))
|
(((l&u)|(u|l))|(~(~((l&(l|l))))&l))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(l))
|
((u|u)>((~(l)>u)&l))
| 1 | 0 | 0 | 0 |
entailment
|
(~(l)&~((l|l)))
|
~((l|l))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(l))
|
~((l|l))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(l)&~((l|l)))
|
((u|u)>((~(l)>u)&l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((u&l)))|(((u|l)|l)|u))
|
(u|l)
| 1 | 1 | 1 | 1 |
entailment
|
(((((u|l)|u)&(~(~((u&u)))>u))|l)>(u&u))
|
(((u|u)|~(l))|(l>(l&(l>u))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((u&l)))|(((u|l)|l)|u))
|
(((u|u)|~(l))|(l>(l&(l>u))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((((u|l)|u)&(~(~((u&u)))>u))|l)>(u&u))
|
(u|l)
| 0 | 1 | 1 | 0 |
not entailment
|
((d>((k|n)|e))&((k&(w&(k>w)))|k))
|
(k&((n|k)|((e>(n|n))&(~(~(w))&e))))
| 1 | 0 | 1 | 0 |
entailment
|
((w|n)>d)
|
((m&(m&m))>((m>w)>(e|d)))
| 1 | 0 | 0 | 0 |
entailment
|
((d>((k|n)|e))&((k&(w&(k>w)))|k))
|
((m&(m&m))>((m>w)>(e|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((w|n)>d)
|
(k&((n|k)|((e>(n|n))&(~(~(w))&e))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e&k)&((d>(d&d))&e))
|
(m>~(~(e)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((w&d)|d)>w))
|
(m|(d|(k>m)))
| 1 | 1 | 0 | 0 |
entailment
|
((e&k)&((d>(d&d))&e))
|
(m|(d|(k>m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((w&d)|d)>w))
|
(m>~(~(e)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((k&n)|n)&((d&m)>m))
|
(k|n)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(d))
|
((w|((~(w)>(k>m))>d))|~(k))
| 1 | 0 | 0 | 0 |
entailment
|
(((k&n)|n)&((d&m)>m))
|
((w|((~(w)>(k>m))>d))|~(k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(d))
|
(k|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((e&n)&k)&(((n&w)&e)>(k&k)))
|
(~(e)>(d|(e|d)))
| 1 | 1 | 0 | 0 |
entailment
|
~(w)
|
~(((k&m)&(m&(k>w))))
| 1 | 0 | 0 | 0 |
entailment
|
(((e&n)&k)&(((n&w)&e)>(k&k)))
|
~(((k&m)&(m&(k>w))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(w)
|
(~(e)>(d|(e|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((w>d))
|
(~(k)>w)
| 1 | 1 | 0 | 0 |
entailment
|
(d&(~(m)&e))
|
(d|((~(e)>m)>k))
| 1 | 0 | 0 | 0 |
entailment
|
~((w>d))
|
(d|((~(e)>m)>k))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(~(m)&e))
|
(~(k)>w)
| 0 | 1 | 0 | 0 |
not entailment
|
(w&~(((n>(d&w))>(e>n))))
|
~(~(~((~((n>w))&n))))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((e|m)|k))>e))
|
((e&(~(d)|m))>(k&(n>w)))
| 1 | 0 | 0 | 0 |
entailment
|
(w&~(((n>(d&w))>(e>n))))
|
((e&(~(d)|m))>(k&(n>w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((e|m)|k))>e))
|
~(~(~((~((n>w))&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&d)&e)
|
(n>e)
| 1 | 1 | 0 | 0 |
entailment
|
(((k&n)&(e>k))|~((~((d|m))|(~(m)|m))))
|
~(~(n))
| 1 | 1 | 1 | 1 |
entailment
|
((m&d)&e)
|
~(~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
(((k&n)&(e>k))|~((~((d|m))|(~(m)|m))))
|
(n>e)
| 0 | 1 | 1 | 0 |
not entailment
|
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