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 |
|---|---|---|---|---|---|---|
~(((u>(((f>x)|(~(f)|f))&f))>((x|g)|s)))
|
(~((u|x))>(g&x))
| 0 | 1 | 1 | 0 |
not entailment
|
((l|s)&((x|(x&g))|x))
|
(l>~(x))
| 0 | 1 | 1 | 0 |
not entailment
|
(r>(j&l))
|
~(~((((d&(r|i))>(m>j))|(d&i))))
| 1 | 0 | 0 | 0 |
entailment
|
(m&n)
|
(((b|~((l|r)))>i)>((b|(n&n))>n))
| 1 | 0 | 0 | 0 |
entailment
|
(r>(j&l))
|
(((b|~((l|r)))>i)>((b|(n&n))>n))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&n)
|
~(~((((d&(r|i))>(m>j))|(d&i))))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&i)&~((((l|d)|~(p))&m)))
|
((m>(b>l))|(~((i&~(i)))&d))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((p&(f&i)))|~((j|b))))
|
~(((f>(n&i))&~(((b&r)>p))))
| 1 | 1 | 0 | 0 |
entailment
|
((d&i)&~((((l|d)|~(p))&m)))
|
~(((f>(n&i))&~(((b&r)>p))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((p&(f&i)))|~((j|b))))
|
((m>(b>l))|(~((i&~(i)))&d))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(f)&~(~(~((r|j)))))
|
(r>i)
| 1 | 1 | 0 | 0 |
entailment
|
(j&r)
|
~((~(((p|d)|~((d>b))))&(~(j)&n)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(f)&~(~(~((r|j)))))
|
~((~(((p|d)|~((d>b))))&(~(j)&n)))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&r)
|
(r>i)
| 0 | 1 | 0 | 0 |
not entailment
|
(((f&f)&d)&(p>(b&b)))
|
((p>~((b>p)))|(b|(j>f)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((d|(p&((m&d)|m)))&(n&n))))
|
(~((r>~(~(l))))|((i>b)>(n|i)))
| 1 | 1 | 0 | 0 |
entailment
|
(((f&f)&d)&(p>(b&b)))
|
(~((r>~(~(l))))|((i>b)>(n|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((d|(p&((m&d)|m)))&(n&n))))
|
((p>~((b>p)))|(b|(j>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((b|l))|n)&(~((b>m))&(l&l)))
|
((b>r)|((l&r)|(i|~(m))))
| 1 | 1 | 0 | 0 |
entailment
|
(f&(d>~((l|~(j)))))
|
(~(r)>f)
| 1 | 1 | 0 | 0 |
entailment
|
((~((b|l))|n)&(~((b>m))&(l&l)))
|
(~(r)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(d>~((l|~(j)))))
|
((b>r)|((l&r)|(i|~(m))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((f>m)&((f&(~(b)&(j>d)))>r))|i))
|
(r|((n>(f|f))|~(m)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((~(~(f))>(d&n))&~(b))))
|
(~((p&((~(p)&l)&n)))>~(b))
| 1 | 1 | 0 | 0 |
entailment
|
~((((f>m)&((f&(~(b)&(j>d)))>r))|i))
|
(~((p&((~(p)&l)&n)))>~(b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((~(~(f))>(d&n))&~(b))))
|
(r|((n>(f|f))|~(m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(d>(m|p))
|
((~(~(((d&(l|l))&(l>(n|r)))))>m)|(p&l))
| 1 | 0 | 0 | 0 |
entailment
|
~(f)
|
~((((n|m)>(i&m))&(f&l)))
| 1 | 0 | 0 | 0 |
entailment
|
(d>(m|p))
|
~((((n|m)>(i&m))&(f&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(f)
|
((~(~(((d&(l|l))&(l>(n|r)))))>m)|(p&l))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&i)&((p>b)|r))
|
(i|(b|p))
| 1 | 1 | 1 | 1 |
entailment
|
(((f>f)>(j>~(p)))&m)
|
((m|f)|(l&~((r|n))))
| 1 | 1 | 0 | 0 |
entailment
|
((p&i)&((p>b)|r))
|
((m|f)|(l&~((r|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f>f)>(j>~(p)))&m)
|
(i|(b|p))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r&r)>(p>b)))
|
(b>(m|(i>(j&(r&j)))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&((~(m)|b)>(i>j)))
|
(m|d)
| 1 | 1 | 1 | 1 |
entailment
|
~(((r&r)>(p>b)))
|
(m|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&((~(m)|b)>(i>j)))
|
(b>(m|(i>(j&(r&j)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(~(l))>(m|p))>(m|~(i)))&p))
|
((~(~(l))|i)|(~(~(r))|~(p)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(n)&j)
|
(~(((f&~((~((r|l))>l)))&~(j)))&(b>j))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~(~(l))>(m|p))>(m|~(i)))&p))
|
(~(((f&~((~((r|l))>l)))&~(j)))&(b>j))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(n)&j)
|
((~(~(l))|i)|(~(~(r))|~(p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((~(p)>n)>~(l)))&((i&n)&b))
|
((((j>m)|(m&n))&i)|(r>j))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((((d|p)>(m&p))>~(r))))&(b>(m&p)))
|
((m|b)>((m|(i|d))&((d|m)|p)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~(p)>n)>~(l)))&((i&n)&b))
|
((m|b)>((m|(i|d))&((d|m)|p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((((d|p)>(m&p))>~(r))))&(b>(m&p)))
|
((((j>m)|(m&n))&i)|(r>j))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(m))&p)
|
(((~(~(p))>~((j>i)))>p)|((r|i)&(f>n)))
| 1 | 0 | 0 | 0 |
entailment
|
((((j|i)&n)&(b|~(f)))&b)
|
(((~(f)&l)>(d&((n&(f|m))&(i&i))))|n)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(m))&p)
|
(((~(f)&l)>(d&((n&(f|m))&(i&i))))|n)
| 0 | 0 | 0 | 0 |
not entailment
|
((((j|i)&n)&(b|~(f)))&b)
|
(((~(~(p))>~((j>i)))>p)|((r|i)&(f>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((l&p)>(~((d|m))|f)))
|
~(((j&(f&n))&(l|m)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(~(~((b&f)))))&~(m))
|
(i|~(m))
| 1 | 1 | 0 | 0 |
entailment
|
~(((l&p)>(~((d|m))|f)))
|
(i|~(m))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(~((b&f)))))&~(m))
|
~(((j&(f&n))&(l|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((((i&l)&m)>f)&~(j)))&(m&d))&(f&r))
|
~((~((p|r))&~(((r&~(l))|~(~(b))))))
| 1 | 1 | 0 | 0 |
entailment
|
~((r|(n|i)))
|
(~((j&r))|~(~((r&b))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((((i&l)&m)>f)&~(j)))&(m&d))&(f&r))
|
(~((j&r))|~(~((r&b))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r|(n|i)))
|
~((~((p|r))&~(((r&~(l))|~(~(b))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(r)&((n|j)|(((p&p)>(f>f))|(i&f))))
|
(d|(r>((~((l&f))&(n&(d&j)))&n)))
| 1 | 1 | 0 | 0 |
entailment
|
((b>j)&(n>(i>r)))
|
((b>j)|~(~(~(p))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(r)&((n|j)|(((p&p)>(f>f))|(i&f))))
|
((b>j)|~(~(~(p))))
| 0 | 1 | 0 | 0 |
not entailment
|
((b>j)&(n>(i>r)))
|
(d|(r>((~((l&f))&(n&(d&j)))&n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j|(((r>f)|m)|p)))
|
(~(((((p|n)|d)|((n&m)|n))&(b&p)))|(p&m))
| 1 | 0 | 0 | 0 |
entailment
|
((~((n|j))|i)&(p&b))
|
(~((i|p))>(l&l))
| 1 | 1 | 0 | 0 |
entailment
|
~((j|(((r>f)|m)|p)))
|
(~((i|p))>(l&l))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((n|j))|i)&(p&b))
|
(~(((((p|n)|d)|((n&m)|n))&(b&p)))|(p&m))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~((d>p)))>m)&~(r))
|
((r&~(((b&i)&~((p>m)))))>(n|(d>(b&d))))
| 1 | 0 | 0 | 0 |
entailment
|
((p|p)|(((n|(d>m))>(~(m)&(b|m)))&d))
|
((l&(b&((b&j)|f)))|(~(m)|(r|p)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~((d>p)))>m)&~(r))
|
((l&(b&((b&j)|f)))|(~(m)|(r|p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((p|p)|(((n|(d>m))>(~(m)&(b|m)))&d))
|
((r&~(((b&i)&~((p>m)))))>(n|(d>(b&d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~((((i&j)&p)&b)))))
|
((l|(i&b))|(m>d))
| 1 | 1 | 0 | 0 |
entailment
|
((n>(l>r))&(~(i)&(n>~(p))))
|
(((i|i)&(p&p))>~(~(m)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(~((((i&j)&p)&b)))))
|
(((i|i)&(p&p))>~(~(m)))
| 0 | 1 | 0 | 0 |
not entailment
|
((n>(l>r))&(~(i)&(n>~(p))))
|
((l|(i&b))|(m>d))
| 0 | 1 | 0 | 0 |
not entailment
|
(n&b)
|
((b|n)|((p&m)>(d>n)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((~(f)&~(p)))|b)>f))
|
(((r&b)&p)|(f>i))
| 1 | 1 | 0 | 0 |
entailment
|
(n&b)
|
(((r&b)&p)|(f>i))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((~(f)&~(p)))|b)>f))
|
((b|n)|((p&m)>(d>n)))
| 0 | 1 | 0 | 0 |
not entailment
|
((n&c)&e)
|
(((c|k)&~(e))>e)
| 1 | 0 | 0 | 0 |
entailment
|
((k&c)&c)
|
(e>k)
| 1 | 1 | 0 | 0 |
entailment
|
((n&c)&e)
|
(e>k)
| 0 | 1 | 0 | 0 |
not entailment
|
((k&c)&c)
|
(((c|k)&~(e))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(e)>e)&k)>n))
|
(((k>(e|k))|e)&((c>k)&(((k>n)>k)>e)))
| 1 | 0 | 0 | 0 |
entailment
|
((n&~(k))&(n|(c|e)))
|
~(((k&c)&c))
| 1 | 1 | 1 | 0 |
entailment
|
~((((~(e)>e)&k)>n))
|
~(((k&c)&c))
| 0 | 1 | 0 | 0 |
not entailment
|
((n&~(k))&(n|(c|e)))
|
(((k>(e|k))|e)&((c>k)&(((k>n)>k)>e)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((~(k)|k)&(k>~((~(k)>k)))))&e)
|
(((k&(e>e))>~(~(k)))>(k|(e|e)))
| 1 | 1 | 1 | 0 |
entailment
|
((~((n&(((e&e)|c)&c)))&(e|~(n)))&~(e))
|
((k>~(n))>((e>n)|c))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~(k)|k)&(k>~((~(k)>k)))))&e)
|
((k>~(n))>((e>n)|c))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((n&(((e&e)|c)&c)))&(e|~(n)))&~(e))
|
(((k&(e>e))>~(~(k)))>(k|(e|e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e|(~(c)&c)))
|
(e>k)
| 1 | 1 | 0 | 0 |
entailment
|
(n&c)
|
((~(k)>k)|n)
| 1 | 0 | 0 | 0 |
entailment
|
~((e|(~(c)&c)))
|
((~(k)>k)|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(n&c)
|
(e>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((e&e))|(((k>k)&c)>k)))
|
(~(e)>(~(~((~(~((k>c)))&e)))|n))
| 1 | 0 | 0 | 0 |
entailment
|
((k>~((c>e)))>~(((e|~(k))|((e>k)&c))))
|
(n|k)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((e&e))|(((k>k)&c)>k)))
|
(n|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((k>~((c>e)))>~(((e|~(k))|((e>k)&c))))
|
(~(e)>(~(~((~(~((k>c)))&e)))|n))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&c)
|
((e|c)>c)
| 1 | 0 | 0 | 0 |
entailment
|
((~(k)>(n>~((k&k))))>e)
|
((e>~((n>e)))>(n|(n&k)))
| 1 | 1 | 1 | 0 |
entailment
|
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