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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