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
(l&(~(~((p&l)))&(m&m)))
((p>l)>m)
1
1
1
0
entailment
~(~((p>~((((m|m)>m)|(l>m))))))
(~((((l|p)>l)>(p&l)))|~(m))
1
1
1
0
entailment
(l&(~(~((p&l)))&(m&m)))
(~((((l|p)>l)>(p&l)))|~(m))
0
0
1
0
not entailment
~(~((p>~((((m|m)>m)|(l>m))))))
((p>l)>m)
0
1
1
0
not entailment
((m&l)&((m|l)|l))
(((l&m)|~(((l>l)|~((p>(m|p))))))&m)
1
0
0
0
entailment
((m&(m&p))&(((p>m)|((l&l)|m))|(l>l)))
((l&((p|l)&(l>p)))|p)
1
1
1
1
entailment
((m&l)&((m|l)|l))
((l&((p|l)&(l>p)))|p)
0
0
0
0
not entailment
((m&(m&p))&(((p>m)|((l&l)|m))|(l>l)))
(((l&m)|~(((l>l)|~((p>(m|p))))))&m)
0
1
1
1
not entailment
((~((m>l))|(l>p))|(m&m))
(((l|l)|p)>((~(p)>~(m))>p))
1
0
1
0
entailment
(~(((m|m)>~((p|p))))|(l&l))
((((l&l)&l)|l)|~(~(p)))
1
1
1
1
entailment
((~((m>l))|(l>p))|(m&m))
((((l&l)&l)|l)|~(~(p)))
0
1
1
0
not entailment
(~(((m|m)>~((p|p))))|(l&l))
(((l|l)|p)>((~(p)>~(m))>p))
0
1
1
0
not entailment
(~((((p>m)&((p&p)|l))|(l&m)))&m)
(~((l&(m|m)))|p)
1
1
1
1
entailment
(l|((l>l)>l))
~(~(((l&(m&p))|l)))
1
0
0
0
entailment
(~((((p>m)&((p&p)|l))|(l&m)))&m)
~(~(((l&(m&p))|l)))
0
1
1
0
not entailment
(l|((l>l)>l))
(~((l&(m|m)))|p)
0
0
0
0
not entailment
(~(m)>~(l))
((l>m)|~(l))
1
1
1
1
entailment
(~(p)&l)
(p>((~(~(m))|(l|p))&(p>(p>~(l)))))
1
0
0
0
entailment
(~(m)>~(l))
(p>((~(~(m))|(l|p))&(p>(p>~(l)))))
0
0
0
0
not entailment
(~(p)&l)
((l>m)|~(l))
0
0
0
0
not entailment
((((p>(p>m))>m)>(((p>m)|m)>(m&l)))&p)
(~(l)>(l|(~(m)|(p|l))))
1
1
1
1
entailment
~(((p|p)|(p|l)))
(~(p)|(l>m))
1
1
0
0
entailment
((((p>(p>m))>m)>(((p>m)|m)>(m&l)))&p)
(~(p)|(l>m))
0
1
1
0
not entailment
~(((p|p)|(p|l)))
(~(l)>(l|(~(m)|(p|l))))
0
0
0
0
not entailment
(((k&(f|b))>(((b>f)>f)>j))>(h&k))
(k>~(~(((j>h)|~(~(h))))))
1
1
1
0
entailment
(((h&h)&~(h))|f)
(((h&~((h|b)))>h)&f)
1
0
0
0
entailment
(((k&(f|b))>(((b>f)>f)>j))>(h&k))
(((h&~((h|b)))>h)&f)
0
1
1
0
not entailment
(((h&h)&~(h))|f)
(k>~(~(((j>h)|~(~(h))))))
0
0
0
0
not entailment
(~(h)&k)
((((k>k)&(f|k))|(n&n))|~((j&j)))
1
0
0
0
entailment
~((k|h))
(((~(k)&(f&k))|(~((n>h))|h))|~(k))
1
0
0
0
entailment
(~(h)&k)
(((~(k)&(f&k))|(~((n>h))|h))|~(k))
0
0
0
0
not entailment
~((k|h))
((((k>k)&(f|k))|(n&n))|~((j&j)))
0
0
0
0
not entailment
~((~(((f|(n|f))&k))&(~((f|f))|h)))
((k&(k|f))|f)
1
1
1
1
entailment
(((h|n)>b)&(~(h)>b))
((n>(~(n)&n))|b)
1
1
1
0
entailment
~((~(((f|(n|f))&k))&(~((f|f))|h)))
((n>(~(n)&n))|b)
0
1
0
0
not entailment
(((h|n)>b)&(~(h)>b))
((k&(k|f))|f)
0
1
0
0
not entailment
(k&j)
(~((b>(~((b&n))>(n|f))))|k)
1
0
0
0
entailment
~((~(h)&(~((f&f))|(b&b))))
(~(((h>h)&f))>h)
1
1
1
0
entailment
(k&j)
(~(((h>h)&f))>h)
0
0
0
0
not entailment
~((~(h)&(~((f&f))|(b&b))))
(~((b>(~((b&n))>(n|f))))|k)
0
1
0
0
not entailment
((k&h)&(h&~(~(j))))
(b>(k&k))
1
1
0
0
entailment
(~((h>j))&h)
~(((j&h)&(~(j)>h)))
1
0
1
0
entailment
((k&h)&(h&~(~(j))))
~(((j&h)&(~(j)>h)))
0
1
1
0
not entailment
(~((h>j))&h)
(b>(k&k))
0
1
0
0
not entailment
(j&h)
(j&(b>(f>j)))
1
0
0
0
entailment
((n&(b&~(j)))&(h|h))
(h>(j>n))
1
1
1
0
entailment
(j&h)
(h>(j>n))
0
0
0
0
not entailment
((n&(b&~(j)))&(h|h))
(j&(b>(f>j)))
0
1
0
0
not entailment
(f&(b>b))
((((h&f)|f)|h)|~(~(n)))
1
0
0
0
entailment
~((~(~((k|k)))&(~(h)>j)))
(~((k&(n>f)))|~(((((b|k)&h)&n)&b)))
1
0
0
0
entailment
(f&(b>b))
(~((k&(n>f)))|~(((((b|k)&h)&n)&b)))
0
0
0
0
not entailment
~((~(~((k|k)))&(~(h)>j)))
((((h&f)|f)|h)|~(~(n)))
0
1
0
0
not entailment
~(~((((f>k)>b)&(b>k))))
(k|f)
1
1
1
1
entailment
~((j>~((~(j)|((b|(n>b))&b)))))
(b|(f>n))
1
1
0
0
entailment
~(~((((f>k)>b)&(b>k))))
(b|(f>n))
0
1
0
0
not entailment
~((j>~((~(j)|((b|(n>b))&b)))))
(k|f)
0
1
0
0
not entailment
((((k>b)&(n>j))>(f&((k|(h|j))>n)))&~(n))
(((~(j)|(k&b))|(~(b)|b))&(~(n)|f))
1
1
1
0
entailment
((b&((j&j)>b))&(((k>(b&f))>f)>(j>h)))
((b>h)>(b|((h&n)|k)))
1
1
0
0
entailment
((((k>b)&(n>j))>(f&((k|(h|j))>n)))&~(n))
((b>h)>(b|((h&n)|k)))
0
1
1
0
not entailment
((b&((j&j)>b))&(((k>(b&f))>f)>(j>h)))
(((~(j)|(k&b))|(~(b)|b))&(~(n)|f))
0
1
0
0
not entailment
(k|((b|j)&k))
((n|~(((~(h)>n)>~((h>n)))))|(~(k)>f))
1
0
0
0
entailment
(k|((b|j)&k))
(f>n)
0
1
0
0
not entailment
~(f)
((n|~(((~(h)>n)>~((h>n)))))|(~(k)>f))
0
0
0
0
not entailment
((h>((b>n)&((h|b)|b)))>(b&(j>n)))
((n>~(~(~((h|f)))))>b)
1
1
0
0
entailment
((k|(h&j))&h)
((((n&n)>~(j))|((k|h)&((b>(h>h))|h)))&h)
1
0
0
0
entailment
((h>((b>n)&((h|b)|b)))>(b&(j>n)))
((((n&n)>~(j))|((k|h)&((b>(h>h))|h)))&h)
0
0
0
0
not entailment
((k|(h&j))&h)
((n>~(~(~((h|f)))))>b)
0
0
0
0
not entailment
(~(~(((h>(f&b))>b)))&(n&n))
((((h|n)>((n&b)&k))&h)|(((h>k)>n)|(k>f)))
1
0
0
0
entailment
(k&~(~((~(f)>j))))
(~((b|(b&(b>f))))>k)
1
1
0
0
entailment
(~(~(((h>(f&b))>b)))&(n&n))
(~((b|(b&(b>f))))>k)
0
1
0
0
not entailment
(k&~(~((~(f)>j))))
((((h|n)>((n&b)&k))&h)|(((h>k)>n)|(k>f)))
0
0
0
0
not entailment
(~(h)&b)
(b|((n>h)>~((b|~(f)))))
1
0
0
0
entailment
(n&(~((k|~(h)))|~(n)))
(~(((k|k)|(~(f)|j)))>n)
1
1
0
0
entailment
(~(h)&b)
(~(((k|k)|(~(f)|j)))>n)
0
0
0
0
not entailment
(n&(~((k|~(h)))|~(n)))
(b|((n>h)>~((b|~(f)))))
0
1
0
0
not entailment
(j&f)
(~(((f&j)&f))>(h>b))
1
0
0
0
entailment
(~((~((b|h))|(n&h)))&~(~((n|k))))
((j>h)|b)
1
1
0
0
entailment
(j&f)
((j>h)|b)
0
0
0
0
not entailment
(~((~((b|h))|(n&h)))&~(~((n|k))))
(~(((f&j)&f))>(h>b))
0
1
0
0
not entailment
(f&(h&j))
(~(~(k))|(~((k&(f>b)))&j))
1
0
0
0
entailment
~((b>(k|j)))
(((b>j)>(b&j))|(k&(j|n)))
1
0
0
0
entailment
(f&(h&j))
(((b>j)>(b&j))|(k&(j|n)))
0
0
0
0
not entailment
~((b>(k|j)))
(~(~(k))|(~((k&(f>b)))&j))
0
0
0
0
not entailment
~((((b>b)>k)&k))
(k>(j|(h>j)))
1
1
0
0
entailment
~(~((~((f&(h>f)))&h)))
(~(~(((b>k)>~(((b|b)|(b>n))))))|h)
1
0
0
0
entailment
~((((b>b)>k)&k))
(~(~(((b>k)>~(((b|b)|(b>n))))))|h)
0
0
0
0
not entailment
~(~((~((f&(h>f)))&h)))
(k>(j|(h>j)))
0
1
0
0
not entailment
~((f|k))
~((k&(~(h)|(j|(n|(b&h))))))
1
0
0
0
entailment
~(~(((b&f)|j)))
((j>j)&(j|b))
1
1
1
0
entailment
~((f|k))
((j>j)&(j|b))
0
0
0
0
not entailment
~(~(((b&f)|j)))
~((k&(~(h)|(j|(n|(b&h))))))
0
0
0
0
not entailment
(((f|(h|f))>n)>(h&j))
((((b&j)|n)&~(h))>((b>f)|~((k&n))))
1
0
0
0
entailment
~(h)
(((n>b)&(j&(k|n)))|(h>~((b|b))))
1
0
0
0
entailment
(((f|(h|f))>n)>(h&j))
(((n>b)&(j&(k|n)))|(h>~((b|b))))
0
0
0
0
not entailment
~(h)
((((b&j)|n)&~(h))>((b>f)|~((k&n))))
0
0
0
0
not entailment
(~(n)&(~((f&n))|~((~(b)|(n>f)))))
(~((h|n))|~(((f&n)|n)))
1
1
0
0
entailment
(n&k)
((n|b)&((k|(k|k))|(j&b)))
1
0
0
0
entailment
(~(n)&(~((f&n))|~((~(b)|(n>f)))))
((n|b)&((k|(k|k))|(j&b)))
0
1
0
0
not entailment
(n&k)
(~((h|n))|~(((f&n)|n)))
0
0
0
0
not entailment
((n|b)>((~(((b|k)>b))>b)>~((j&n))))
((k&((j&b)&n))>f)
1
1
0
0
entailment