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))
(n|~(((m>f)&~(~(y)))))
1
0
0
0
entailment
(~((m>~(e)))&(j|j))
((s|(n&~(e)))>e)
1
1
0
0
entailment
(n&~(f))
((s|(n&~(e)))>e)
0
0
0
0
not entailment
(~((m>~(e)))&(j|j))
(n|~(((m>f)&~(~(y)))))
0
0
0
0
not entailment
((m>j)&~(~(f)))
((~(y)|(f&m))|f)
1
1
0
0
entailment
(((e|m)&s)&(f>s))
(s&(s>s))
1
1
1
0
entailment
((m>j)&~(~(f)))
(s&(s>s))
0
1
0
0
not entailment
(((e|m)&s)&(f>s))
((~(y)|(f&m))|f)
0
1
0
0
not entailment
(((f|(j&n))&~(~(f)))&s)
(n>s)
1
1
1
0
entailment
~(f)
(((f&(f>y))&m)>e)
1
0
0
0
entailment
(((f|(j&n))&~(~(f)))&s)
(((f&(f>y))&m)>e)
0
1
0
0
not entailment
~(f)
(n>s)
0
1
0
0
not entailment
(y&~((~(m)>(~((s|s))>n))))
~(((f>f)>(y&n)))
1
1
0
0
entailment
~((e|(((~((e>~(n)))>s)&m)>~(y))))
(((f>m)&~(n))>((~(y)>j)>m))
1
1
0
0
entailment
(y&~((~(m)>(~((s|s))>n))))
(((f>m)&~(n))>((~(y)>j)>m))
0
1
0
0
not entailment
~((e|(((~((e>~(n)))>s)&m)>~(y))))
~(((f>f)>(y&n)))
0
1
0
0
not entailment
((s|j)&(f&(j>~(m))))
((n>m)|(~((s|((~(f)>(f&n))&j)))>e))
1
0
0
0
entailment
(j|((s&m)&j))
~((~((f&(~(~((s&s)))&~(y))))&~(j)))
1
0
0
0
entailment
((s|j)&(f&(j>~(m))))
~((~((f&(~(~((s&s)))&~(y))))&~(j)))
0
0
0
0
not entailment
(j|((s&m)&j))
((n>m)|(~((s|((~(f)>(f&n))&j)))>e))
0
0
0
0
not entailment
~((((j&f)|f)>(s>y)))
(j|(f>s))
1
1
1
0
entailment
~(((m&(f|e))>((y&m)|e)))
(e>j)
1
1
0
0
entailment
~((((j&f)|f)>(s>y)))
(e>j)
0
1
0
0
not entailment
~(((m&(f|e))>((y&m)|e)))
(j|(f>s))
0
1
0
0
not entailment
~(((n>(m&n))|~(y)))
((s>n)>n)
1
1
0
0
entailment
~((e>~((j&((~((y&f))|~(j))>(n>j))))))
((s|m)|((f>j)&j))
1
1
0
0
entailment
~(((n>(m&n))|~(y)))
((s|m)|((f>j)&j))
0
1
0
0
not entailment
~((e>~((j&((~((y&f))|~(j))>(n>j))))))
((s>n)>n)
0
1
0
0
not entailment
(((j&m)|y)>n)
((f|(~(((m&e)&y))&((y>n)>(j&e))))>(e|f))
1
0
0
0
entailment
~(m)
~((m&(s|~((n>(m&j))))))
1
0
0
0
entailment
(((j&m)|y)>n)
~((m&(s|~((n>(m&j))))))
0
0
0
0
not entailment
~(m)
((f|(~(((m&e)&y))&((y>n)>(j&e))))>(e|f))
0
0
0
0
not entailment
((~(~((m&m)))>m)&s)
(((m&s)|(s|~(m)))|~(m))
1
0
1
1
entailment
(~(j)&((m|e)>m))
((y>e)>~(~(~((j&s)))))
1
0
0
0
entailment
((~(~((m&m)))>m)&s)
((y>e)>~(~(~((j&s)))))
0
0
0
0
not entailment
(~(j)&((m|e)>m))
(((m&s)|(s|~(m)))|~(m))
0
0
0
0
not entailment
(l&(u>((u|(l|u))>l)))
(~((~((l>((l>u)&u)))>(u&u)))|u)
1
0
1
0
entailment
~(((u|u)|l))
((l>u)|((u>l)>(u&l)))
1
0
1
0
entailment
(l&(u>((u|(l|u))>l)))
((l>u)|((u>l)>(u&l)))
0
1
1
0
not entailment
~(((u|u)|l))
(~((~((l>((l>u)&u)))>(u&u)))|u)
0
0
1
0
not entailment
~((l>(l>u)))
(l&((l&~(((u|(l>l))&u)))&l))
1
0
1
0
entailment
(u|u)
(((l>l)&(u|u))|(((u|u)&~(~(u)))&l))
1
0
0
0
entailment
~((l>(l>u)))
(((l>l)&(u|u))|(((u|u)&~(~(u)))&l))
0
0
1
0
not entailment
(u|u)
(l&((l&~(((u|(l>l))&u)))&l))
0
0
0
0
not entailment
((u&u)&l)
(l|u)
1
1
1
1
entailment
~(~(~(((l&~(u))|l))))
(l>~(u))
1
1
1
0
entailment
((u&u)&l)
(l>~(u))
0
1
1
0
not entailment
~(~(~(((l&~(u))|l))))
(l|u)
0
1
1
0
not entailment
((l&~(~(((u&l)&l))))|~((l&(u|~(u)))))
((l&~((u|l)))|(l>(u|u)))
1
1
1
1
entailment
((l&(u|l))&(l&l))
(u|(l|l))
1
1
1
1
entailment
((l&~(~(((u&l)&l))))|~((l&(u|~(u)))))
(u|(l|l))
0
1
1
1
not entailment
((l&(u|l))&(l&l))
((l&~((u|l)))|(l>(u|u)))
0
0
1
0
not entailment
(u&(l&u))
(u&(u|~((l>l))))
1
0
1
0
entailment
~(((u>l)>l))
(l>((l|l)>~(u)))
1
0
1
1
entailment
(u&(l&u))
(l>((l|l)>~(u)))
0
0
1
0
not entailment
~(((u>l)>l))
(u&(u|~((l>l))))
0
0
1
0
not entailment
(((l&(l&(~(l)|l)))|u)&u)
((~((u&u))>l)>u)
1
1
1
0
entailment
(~((l>((u|u)|((u&(u&u))|~(l)))))&(u|l))
(~((u&(l|u)))|~((u&u)))
1
1
1
0
entailment
(((l&(l&(~(l)|l)))|u)&u)
(~((u&(l|u)))|~((u&u)))
0
1
1
0
not entailment
(~((l>((u|u)|((u&(u&u))|~(l)))))&(u|l))
((~((u&u))>l)>u)
0
1
1
0
not entailment
(~(l)&(~(l)&((l&u)|(u|u))))
(((l&u)|(u|l))|(~(~((l&(l|l))))&l))
1
0
1
1
entailment
((~(~(~((~(((u|u)|u))|l))))>l)|~(u))
(l|~(~(((u&(u>u))>((~(l)|l)&(u&l))))))
1
1
1
0
entailment
(~(l)&(~(l)&((l&u)|(u|u))))
(l|~(~(((u&(u>u))>((~(l)|l)&(u&l))))))
0
0
1
0
not entailment
((~(~(~((~(((u|u)|u))|l))))>l)|~(u))
(((l&u)|(u|l))|(~(~((l&(l|l))))&l))
0
1
1
0
not entailment
~(~(l))
((u|u)>((~(l)>u)&l))
1
0
0
0
entailment
(~(l)&~((l|l)))
~((l|l))
1
1
1
1
entailment
~(~(l))
~((l|l))
0
1
1
0
not entailment
(~(l)&~((l|l)))
((u|u)>((~(l)>u)&l))
0
0
0
0
not entailment
(~(~((u&l)))|(((u|l)|l)|u))
(u|l)
1
1
1
1
entailment
(((((u|l)|u)&(~(~((u&u)))>u))|l)>(u&u))
(((u|u)|~(l))|(l>(l&(l>u))))
1
1
1
0
entailment
(~(~((u&l)))|(((u|l)|l)|u))
(((u|u)|~(l))|(l>(l&(l>u))))
0
1
1
0
not entailment
(((((u|l)|u)&(~(~((u&u)))>u))|l)>(u&u))
(u|l)
0
1
1
0
not entailment
((d>((k|n)|e))&((k&(w&(k>w)))|k))
(k&((n|k)|((e>(n|n))&(~(~(w))&e))))
1
0
1
0
entailment
((w|n)>d)
((m&(m&m))>((m>w)>(e|d)))
1
0
0
0
entailment
((d>((k|n)|e))&((k&(w&(k>w)))|k))
((m&(m&m))>((m>w)>(e|d)))
0
1
0
0
not entailment
((w|n)>d)
(k&((n|k)|((e>(n|n))&(~(~(w))&e))))
0
0
0
0
not entailment
((e&k)&((d>(d&d))&e))
(m>~(~(e)))
1
1
0
0
entailment
~((((w&d)|d)>w))
(m|(d|(k>m)))
1
1
0
0
entailment
((e&k)&((d>(d&d))&e))
(m|(d|(k>m)))
0
1
0
0
not entailment
~((((w&d)|d)>w))
(m>~(~(e)))
0
1
0
0
not entailment
(((k&n)|n)&((d&m)>m))
(k|n)
1
1
1
1
entailment
~(~(d))
((w|((~(w)>(k>m))>d))|~(k))
1
0
0
0
entailment
(((k&n)|n)&((d&m)>m))
((w|((~(w)>(k>m))>d))|~(k))
0
0
0
0
not entailment
~(~(d))
(k|n)
0
1
0
0
not entailment
(((e&n)&k)&(((n&w)&e)>(k&k)))
(~(e)>(d|(e|d)))
1
1
0
0
entailment
~(w)
~(((k&m)&(m&(k>w))))
1
0
0
0
entailment
(((e&n)&k)&(((n&w)&e)>(k&k)))
~(((k&m)&(m&(k>w))))
0
1
0
0
not entailment
~(w)
(~(e)>(d|(e|d)))
0
0
0
0
not entailment
~((w>d))
(~(k)>w)
1
1
0
0
entailment
(d&(~(m)&e))
(d|((~(e)>m)>k))
1
0
0
0
entailment
~((w>d))
(d|((~(e)>m)>k))
0
0
0
0
not entailment
(d&(~(m)&e))
(~(k)>w)
0
1
0
0
not entailment
(w&~(((n>(d&w))>(e>n))))
~(~(~((~((n>w))&n))))
1
1
1
1
entailment
~((~(((e|m)|k))>e))
((e&(~(d)|m))>(k&(n>w)))
1
0
0
0
entailment
(w&~(((n>(d&w))>(e>n))))
((e&(~(d)|m))>(k&(n>w)))
0
1
0
0
not entailment
~((~(((e|m)|k))>e))
~(~(~((~((n>w))&n))))
0
0
0
0
not entailment
((m&d)&e)
(n>e)
1
1
0
0
entailment
(((k&n)&(e>k))|~((~((d|m))|(~(m)|m))))
~(~(n))
1
1
1
1
entailment
((m&d)&e)
~(~(n))
0
1
0
0
not entailment
(((k&n)&(e>k))|~((~((d|m))|(~(m)|m))))
(n>e)
0
1
1
0
not entailment