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)>(h>r)))
|
(((f>q)&f)|(r|((n|r)|((e|r)|~(q)))))
| 1 | 0 | 0 | 0 |
entailment
|
(q|(r&(r|n)))
|
(~((((q>r)>f)|(l|f)))>r)
| 1 | 0 | 0 | 0 |
entailment
|
~(((n|f)>(h>r)))
|
(~((((q>r)>f)|(l|f)))>r)
| 0 | 0 | 0 | 0 |
not entailment
|
(q|(r&(r|n)))
|
(((f>q)&f)|(r|((n|r)|((e|r)|~(q)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((j&(j|(j&(f>b))))&((e|(o&e))|(e|j)))
|
(b>(~((o&(b&((o>o)>(e>b)))))|j))
| 1 | 1 | 1 | 0 |
entailment
|
((o>f)&o)
|
(o|((o&(b|b))&f))
| 1 | 0 | 0 | 0 |
entailment
|
((j&(j|(j&(f>b))))&((e|(o&e))|(e|j)))
|
(o|((o&(b|b))&f))
| 0 | 1 | 1 | 0 |
not entailment
|
((o>f)&o)
|
(b>(~((o&(b&((o>o)>(e>b)))))|j))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&~(e))
|
~(((e&e)&b))
| 1 | 0 | 1 | 0 |
entailment
|
(((f|o)&(f|j))&~(j))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
(b&~(e))
|
~(j)
| 0 | 1 | 0 | 0 |
not entailment
|
(((f|o)&(f|j))&~(j))
|
~(((e&e)&b))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&(~(j)|f))&~((~(j)>e)))
|
(~(~((f|f)))|~(b))
| 1 | 1 | 0 | 0 |
entailment
|
(~(f)&~((f&f)))
|
((~(((j&f)&b))|b)&(o>((f>e)|b)))
| 1 | 0 | 0 | 0 |
entailment
|
((f&(~(j)|f))&~((~(j)>e)))
|
((~(((j&f)&b))|b)&(o>((f>e)|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(f)&~((f&f)))
|
(~(~((f|f)))|~(b))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((b|(b|f))>f))))
|
(e>(~(~(f))|(~(b)>~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((f&o))&o)
|
(o|j)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((b|(b|f))>f))))
|
(o|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((f&o))&o)
|
(e>(~(~(f))|(~(b)>~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((e|(o>j))|~((f>j)))>(o&b))&(b&o))
|
((j>j)>o)
| 1 | 1 | 1 | 1 |
entailment
|
~(e)
|
((f|o)>~((j&(j>e))))
| 1 | 0 | 0 | 0 |
entailment
|
((((e|(o>j))|~((f>j)))>(o&b))&(b&o))
|
((f|o)>~((j&(j>e))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(e)
|
((j>j)>o)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b&(f&j))|~((b|((j>e)&j)))))
|
((j>((e|f)&(e>b)))>(o|b))
| 1 | 1 | 0 | 0 |
entailment
|
~(((j>b)>((o|f)|~((e>j)))))
|
((j&j)|((~(b)|(b&b))>(f>e)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((b&(f&j))|~((b|((j>e)&j)))))
|
((j&j)|((~(b)|(b&b))>(f>e)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((j>b)>((o|f)|~((e>j)))))
|
((j>((e|f)&(e>b)))>(o|b))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(f)&~(((b|(f&e))|(e&(j&o)))))
|
(((f|o)>(o|(o&b)))|(~(b)&f))
| 1 | 1 | 1 | 0 |
entailment
|
~(j)
|
(((e|(f>~(b)))>(e&j))|~((j|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(f)&~(((b|(f&e))|(e&(j&o)))))
|
(((e|(f>~(b)))>(e&j))|~((j|j)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(j)
|
(((f|o)>(o|(o&b)))|(~(b)&f))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b>b)|b)>((b>(j>b))>((j>f)>o)))
|
(~(((~(~(e))|(b|(o|j)))|(f>e)))>o)
| 1 | 0 | 0 | 0 |
entailment
|
~((e|b))
|
((b>f)|(j|j))
| 1 | 0 | 0 | 0 |
entailment
|
(((b>b)|b)>((b>(j>b))>((j>f)>o)))
|
((b>f)|(j|j))
| 0 | 1 | 1 | 0 |
not entailment
|
~((e|b))
|
(~(((~(~(e))|(b|(o|j)))|(f>e)))>o)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((f&e)>(b&(e&~((f>e)))))))
|
~((b&((e&f)&~(~(b)))))
| 1 | 1 | 1 | 0 |
entailment
|
(b&o)
|
~((b&((e&f)&~(~(b)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((f&e)>(b&(e&~((f>e)))))))
|
(b|o)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(f)>f)&((o|(j&(o>j)))&b))
|
((((j>(j&e))>b)|(~((j>b))>~((o>j))))|b)
| 1 | 0 | 0 | 0 |
entailment
|
(j|~(e))
|
((((j&e)>(f>~(~(b))))>f)>(e>j))
| 1 | 0 | 0 | 0 |
entailment
|
((~(f)>f)&((o|(j&(o>j)))&b))
|
((((j&e)>(f>~(~(b))))>f)>(e>j))
| 0 | 0 | 0 | 0 |
not entailment
|
(j|~(e))
|
((((j>(j&e))>b)|(~((j>b))>~((o>j))))|b)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b>~((e&j)))|f))
|
~(~(e))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((o&(~(o)|j))&~(b))))
|
~(~(o))
| 1 | 1 | 1 | 1 |
entailment
|
~(((b>~((e&j)))|f))
|
~(~(o))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((o&(~(o)|j))&~(b))))
|
~(~(e))
| 0 | 1 | 0 | 0 |
not entailment
|
(o&(((b|(j>f))|f)&~(((~(f)>j)|b))))
|
(j>~(((b|f)>~((f>f)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((e|e)))
|
(((o|o)|e)&e)
| 1 | 1 | 0 | 0 |
entailment
|
(o&(((b|(j>f))|f)&~(((~(f)>j)|b))))
|
(((o|o)|e)&e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((e|e)))
|
(j>~(((b|f)>~((f>f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((o&f)>j))
|
(b|(o&o))
| 1 | 1 | 0 | 0 |
entailment
|
(~((j>(j&e)))|(j&((b>f)|(b&j))))
|
~((~(j)&(b&(~(j)>o))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((o&f)>j))
|
~((~(j)&(b&(~(j)>o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((j>(j&e)))|(j&((b>f)|(b&j))))
|
(b|(o&o))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&k)
|
(r>m)
| 1 | 1 | 0 | 0 |
entailment
|
(r&((r|(m|m))&(k|(m>~(r)))))
|
(r&r)
| 1 | 1 | 1 | 1 |
entailment
|
(m&k)
|
(r&r)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&((r|(m|m))&(k|(m>~(r)))))
|
(r>m)
| 0 | 1 | 1 | 1 |
not entailment
|
(m&(m&(((r&r)>(m&(k&k)))>((r|m)&(k&k)))))
|
((k>m)|(r|r))
| 1 | 1 | 1 | 1 |
entailment
|
(~(m)|((~(k)|r)&r))
|
(~((((r|r)&m)|(m&~((m>k)))))>(m>r))
| 1 | 0 | 1 | 0 |
entailment
|
(m&(m&(((r&r)>(m&(k&k)))>((r|m)&(k&k)))))
|
(~((((r|r)&m)|(m&~((m>k)))))>(m>r))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(m)|((~(k)|r)&r))
|
((k>m)|(r|r))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((k&(m&m)))&(((r&m)>m)>r))
|
((m>~(((k&k)>~((k>r)))))|r)
| 1 | 1 | 1 | 0 |
entailment
|
((m>(r>((r>k)>k)))>k)
|
((k|(((k>(r&r))>k)&~(m)))|(k|k))
| 1 | 0 | 1 | 0 |
entailment
|
(~((k&(m&m)))&(((r&m)>m)>r))
|
((k|(((k>(r&r))>k)&~(m)))|(k|k))
| 0 | 0 | 1 | 0 |
not entailment
|
((m>(r>((r>k)>k)))>k)
|
((m>~(((k&k)>~((k>r)))))|r)
| 0 | 0 | 1 | 0 |
not entailment
|
((r&r)&k)
|
(~((k&~(k)))>(m>(r|k)))
| 1 | 0 | 0 | 0 |
entailment
|
((r|m)&m)
|
((r>r)>(r>m))
| 1 | 0 | 1 | 0 |
entailment
|
((r&r)&k)
|
((r>r)>(r>m))
| 0 | 0 | 0 | 0 |
not entailment
|
((r|m)&m)
|
(~((k&~(k)))>(m>(r|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((m>k)))&~((k|r)))
|
~(~((~((k|r))|k)))
| 1 | 1 | 1 | 1 |
entailment
|
((m&(k|r))&~(k))
|
(m&(m|r))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((m>k)))&~((k|r)))
|
(m&(m|r))
| 0 | 1 | 1 | 0 |
not entailment
|
((m&(k|r))&~(k))
|
~(~((~((k|r))|k)))
| 0 | 0 | 1 | 0 |
not entailment
|
(k&r)
|
(((m|r)&k)|m)
| 1 | 0 | 0 | 0 |
entailment
|
(k&~(m))
|
~(((r|k)>m))
| 1 | 0 | 0 | 0 |
entailment
|
(k&r)
|
~(((r|k)>m))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&~(m))
|
(((m|r)&k)|m)
| 0 | 0 | 0 | 0 |
not entailment
|
((k&k)&((m|m)&m))
|
(~(((r&k)|k))>m)
| 1 | 1 | 0 | 0 |
entailment
|
((r|(r&m))&(k>(k|r)))
|
~(~(r))
| 1 | 1 | 1 | 1 |
entailment
|
((k&k)&((m|m)&m))
|
~(~(r))
| 0 | 1 | 0 | 0 |
not entailment
|
((r|(r&m))&(k>(k|r)))
|
(~(((r&k)|k))>m)
| 0 | 1 | 1 | 1 |
not entailment
|
(r&(k>k))
|
(~(~(((k>r)>(m>r))))|k)
| 1 | 0 | 0 | 0 |
entailment
|
~(((((m>m)&r)>(r|r))&r))
|
~(~(((m>((~(m)|r)|m))&((r>k)|m))))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(k>k))
|
~(~(((m>((~(m)|r)|m))&((r>k)|m))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((m>m)&r)>(r|r))&r))
|
(~(~(((k>r)>(m>r))))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~(k))))
|
(((~(((m>m)>r))>~(k))>k)|((r|k)>(k&m)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&r)
|
((r&~(((r>m)>k)))|(r|((r>r)&m)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~(k))))
|
((r&~(((r>m)>k)))|(r|((r>r)&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&r)
|
(((~(((m>m)>r))>~(k))>k)|((r|k)>(k&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m|(k|r)))
|
~((m&((k&k)&((r|m)>m))))
| 1 | 0 | 1 | 0 |
entailment
|
(((~(k)>(k>r))&(m>r))&((k&m)&(k>(m&k))))
|
((k>~(k))>~((m>m)))
| 1 | 1 | 1 | 1 |
entailment
|
~((m|(k|r)))
|
((k>~(k))>~((m>m)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((~(k)>(k>r))&(m>r))&((k&m)&(k>(m&k))))
|
~((m&((k&k)&((r|m)>m))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((~((m>(m>m)))>~((m|m)))>m))
|
((k&((m&r)|(m>r)))|(~(~(k))>r))
| 1 | 1 | 0 | 0 |
entailment
|
(k&m)
|
((r&~(~(r)))|~((~(m)&~(k))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((m>(m>m)))>~((m|m)))>m))
|
((r&~(~(r)))|~((~(m)&~(k))))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&m)
|
((k&((m&r)|(m>r)))|(~(~(k))>r))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&((m>k)>~(k)))
|
(~(m)|((r&m)|((k>k)&(r&m))))
| 1 | 0 | 1 | 0 |
entailment
|
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