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
((y&(f|(f|j)))&j)
(((~(f)>(i|i))>(((f|(f>~(h)))>y)>y))&j)
1
0
0
0
entailment
(~(((h&(y>f))>f))&~((i&((h&h)>j))))
(f|h)
1
1
1
1
entailment
((y&(f|(f|j)))&j)
(f|h)
0
1
0
0
not entailment
(~(((h&(y>f))>f))&~((i&((h&h)>j))))
(((~(f)>(i|i))>(((f|(f>~(h)))>y)>y))&j)
0
0
1
0
not entailment
~(((y|(h&~(j)))|(f>(j>~(h)))))
(~(f)|j)
1
1
1
0
entailment
((~(~(~(y)))>((i|(y&h))|(j>y)))&y)
~(~(y))
1
1
1
1
entailment
~(((y|(h&~(j)))|(f>(j>~(h)))))
~(~(y))
0
1
1
0
not entailment
((~(~(~(y)))>((i|(y&h))|(j>y)))&y)
(~(f)|j)
0
1
0
0
not entailment
~((~((y>h))|(i|((j|j)|((h|j)>f)))))
(f>(y&~((j|(i&f)))))
1
1
1
0
entailment
(((i&(y|j))>~((j|~(h))))&i)
~((~((i&i))&h))
1
1
1
0
entailment
~((~((y>h))|(i|((j|j)|((h|j)>f)))))
~((~((i&i))&h))
0
1
1
0
not entailment
(((i&(y|j))>~((j|~(h))))&i)
(f>(y&~((j|(i&f)))))
0
1
0
0
not entailment
~((~(k)&(~(k)>(k>k))))
((k&((k|k)>~(k)))|((k|k)|k))
1
0
1
1
entailment
~(((~((k&(k|k)))>((k|k)|k))|k))
(((k>k)|k)>~(k))
1
1
1
0
entailment
~((~(k)&(~(k)>(k>k))))
(((k>k)|k)>~(k))
0
1
1
1
not entailment
~(((~((k&(k|k)))>((k|k)|k))|k))
((k&((k|k)>~(k)))|((k|k)|k))
0
1
1
0
not entailment
~(((k>((k|k)&k))&~((k&(k|k)))))
(((k|(k>k))&k)&((k>(k>k))|k))
1
1
1
1
entailment
~((((k&(k|k))>(k>k))>k))
~((k&(k&k)))
1
1
1
1
entailment
~(((k>((k|k)&k))&~((k&(k|k)))))
~((k&(k&k)))
0
1
1
1
not entailment
~((((k&(k|k))>(k>k))>k))
(((k|(k>k))&k)&((k>(k>k))|k))
0
0
1
1
not entailment
((((k|~(k))>(k|k))|(~(k)|k))&k)
((k|((k&k)|k))&k)
1
1
1
1
entailment
~((k&k))
(~(k)&((k&(k>k))>k))
1
0
1
0
entailment
((((k|~(k))>(k|k))|(~(k)|k))&k)
(~(k)&((k&(k>k))>k))
0
1
1
1
not entailment
~((k&k))
((k|((k&k)|k))&k)
0
0
1
0
not entailment
(~(~((k|((k&k)&(~(k)>(k&k))))))|k)
(k&((k>k)|((~((k|~((k&k))))>(k>k))>k)))
1
0
1
0
entailment
((k>~(k))|(k&~((k|k))))
(((k|(k>~(k)))>k)>(k>~(k)))
1
0
1
1
entailment
(~(~((k|((k&k)&(~(k)>(k&k))))))|k)
(((k|(k>~(k)))>k)>(k>~(k)))
0
1
1
0
not entailment
((k>~(k))|(k&~((k|k))))
(k&((k>k)|((~((k|~((k&k))))>(k>k))>k)))
0
0
1
1
not entailment
(k>~((k|k)))
~(k)
1
1
1
1
entailment
(~((k&k))>k)
~(~((k|k)))
1
1
1
1
entailment
(k>~((k|k)))
~(~((k|k)))
0
1
1
0
not entailment
(~((k&k))>k)
~(k)
0
1
1
0
not entailment
((u|u)&i)
(~(((d&(m>d))&(u|m)))>u)
1
0
0
0
entailment
((p&m)&l)
(~(h)|m)
1
1
0
0
entailment
((u|u)&i)
(~(h)|m)
0
1
0
0
not entailment
((p&m)&l)
(~(((d&(m>d))&(u|m)))>u)
0
0
0
0
not entailment
~(((d|(p&(~((l|p))>(i&u))))|(u|p)))
~(((((h&i)>i)|(u|d))>~(~(p))))
1
1
0
0
entailment
(u&d)
((~((p>l))|h)>((i|u)|((l&d)|m)))
1
0
0
0
entailment
~(((d|(p&(~((l|p))>(i&u))))|(u|p)))
((~((p>l))|h)>((i|u)|((l&d)|m)))
0
1
0
0
not entailment
(u&d)
~(((((h&i)>i)|(u|d))>~(~(p))))
0
0
0
0
not entailment
(((~(u)|m)&u)&l)
(d>(l>m))
1
1
0
0
entailment
((l>(~(p)>h))&h)
(((h>l)>d)>(~(((m>p)>(i>m)))|h))
1
0
0
0
entailment
(((~(u)|m)&u)&l)
(((h>l)>d)>(~(((m>p)>(i>m)))|h))
0
0
0
0
not entailment
((l>(~(p)>h))&h)
(d>(l>m))
0
1
0
0
not entailment
(~((i&l))&i)
(d>(h|i))
1
1
0
0
entailment
(~((((i|i)|h)|u))&~((p>(u|(i&h)))))
~(i)
1
1
1
1
entailment
(~((i&l))&i)
~(i)
0
1
1
1
not entailment
(~((((i|i)|h)|u))&~((p>(u|(i&h)))))
(d>(h|i))
0
1
0
0
not entailment
(~((d|d))&i)
((d>p)|(~(h)&(l|h)))
1
0
0
0
entailment
((m&(h|d))&((u>h)&h))
(~((l>l))|((~(h)|(p|m))|(((l>i)&u)>m)))
1
0
0
0
entailment
(~((d|d))&i)
(~((l>l))|((~(h)|(p|m))|(((l>i)&u)>m)))
0
0
0
0
not entailment
((m&(h|d))&((u>h)&h))
((d>p)|(~(h)&(l|h)))
0
1
0
0
not entailment
((i&~(m))&(((l&i)|u)&p))
(((m&~(h))|(m>~((l>m))))|l)
1
0
0
0
entailment
(m&p)
((~(u)&m)|u)
1
0
0
0
entailment
((i&~(m))&(((l&i)|u)&p))
((~(u)&m)|u)
0
1
1
0
not entailment
(m&p)
(((m&~(h))|(m>~((l>m))))|l)
0
0
0
0
not entailment
((l&d)&p)
~((((d|l)|(i&h))&~(l)))
1
0
0
0
entailment
~(((((~(~(l))>~(d))>(u>l))|d)|d))
((~(l)|(((i|h)>((h|p)>~(h)))>h))&u)
1
1
0
0
entailment
((l&d)&p)
((~(l)|(((i|h)>((h|p)>~(h)))>h))&u)
0
0
0
0
not entailment
~(((((~(~(l))>~(d))>(u>l))|d)|d))
~((((d|l)|(i&h))&~(l)))
0
1
0
0
not entailment
((i&(p>m))&u)
((i|u)|m)
1
1
1
1
entailment
~((l>m))
(~(~(((i>l)|m)))|(d>h))
1
0
0
0
entailment
((i&(p>m))&u)
(~(~(((i>l)|m)))|(d>h))
0
0
0
0
not entailment
~((l>m))
((i|u)|m)
0
1
0
0
not entailment
~((~(~(m))>p))
~((((d|(m&i))>p)&((h|(i&p))&~((i|m)))))
1
0
0
0
entailment
(~((~(d)>l))&((d>l)>u))
(((~(d)&l)>h)|i)
1
1
0
0
entailment
~((~(~(m))>p))
(((~(d)&l)>h)|i)
0
1
0
0
not entailment
(~((~(d)>l))&((d>l)>u))
~((((d|(m&i))>p)&((h|(i&p))&~((i|m)))))
0
0
0
0
not entailment
(h&(l&u))
(p>((l|(h>(u>m)))&l))
1
0
0
0
entailment
~(~(((p&(h|p))&h)))
(l>p)
1
1
0
0
entailment
(h&(l&u))
(l>p)
0
1
0
0
not entailment
~(~(((p&(h|p))&h)))
(p>((l|(h>(u>m)))&l))
0
1
0
0
not entailment
((p&(h|h))&(d&(i&l)))
((u&(((((l&h)|l)|(p|u))>m)&(m>l)))>i)
1
0
0
0
entailment
((u>(d|u))>u)
((~((~(u)&((i&(l&u))>(h>m))))>(l&i))>u)
1
0
0
0
entailment
((p&(h|h))&(d&(i&l)))
((~((~(u)&((i&(l&u))>(h>m))))>(l&i))>u)
0
0
0
0
not entailment
((u>(d|u))>u)
((u&(((((l&h)|l)|(p|u))>m)&(m>l)))>i)
0
0
0
0
not entailment
(p|p)
(u>p)
1
1
0
0
entailment
((((d&(l>u))&~(((p>i)&m)))|m)&~(m))
(((d|m)>(i&u))>((d&u)|((m|(h|h))&h)))
1
1
0
0
entailment
(p|p)
(((d|m)>(i&u))>((d&u)|((m|(h|h))&h)))
0
0
0
0
not entailment
((((d&(l>u))&~(((p>i)&m)))|m)&~(m))
(u>p)
0
1
1
0
not entailment
(~((u|l))&((l>(i&h))>(h|h)))
(((m>h)>((u>p)>h))|d)
1
1
0
0
entailment
~((m|(i>(l&m))))
~((h&m))
1
1
0
0
entailment
(~((u|l))&((l>(i&h))>(h|h)))
~((h&m))
0
1
0
0
not entailment
~((m|(i>(l&m))))
(((m>h)>((u>p)>h))|d)
0
0
0
0
not entailment
((~((l>i))|(h&~(d)))&~(~((p&i))))
(p|(l>i))
1
1
1
0
entailment
~(~(~((d>~(((~(m)&((h&d)>l))>u))))))
~((~(d)&(u|m)))
1
1
1
0
entailment
((~((l>i))|(h&~(d)))&~(~((p&i))))
~((~(d)&(u|m)))
0
1
0
0
not entailment
~(~(~((d>~(((~(m)&((h&d)>l))>u))))))
(p|(l>i))
0
1
0
0
not entailment
(~(p)&(((p&~(~(i)))&(l>m))|i))
(l>i)
1
1
1
1
entailment
(u&d)
(d&((h>((h|(p&l))&u))|i))
1
0
0
0
entailment
(~(p)&(((p&~(~(i)))&(l>m))|i))
(d&((h>((h|(p&l))&u))|i))
0
1
0
0
not entailment
(u&d)
(l>i)
0
1
0
0
not entailment
((i|p)&~((~((m>m))|((i>(p&d))>~(h)))))
(m>p)
1
1
1
1
entailment
((~(p)>((h>l)>i))&i)
(l>(l&i))
1
1
1
0
entailment
((i|p)&~((~((m>m))|((i>(p&d))>~(h)))))
(l>(l&i))
0
1
0
0
not entailment
((~(p)>((h>l)>i))&i)
(m>p)
0
1
0
0
not entailment
(d|p)
((d|p)|((((~(i)>h)&(i|p))|i)>l))
1
0
0
0
entailment
~(((u|m)|u))
((m|(h|h))>(i|h))
1
0
0
0
entailment
(d|p)
((m|(h|h))>(i|h))
0
0
0
0
not entailment
~(((u|m)|u))
((d|p)|((((~(i)>h)&(i|p))|i)>l))
0
0
0
0
not entailment