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&p)&(b&l))>~((p&y))))
~(~((u|q)))
0
1
0
0
not entailment
(~(~(q))&((b>(s>y))>b))
(~((~(u)>p))>~(((b&y)&y)))
0
0
0
0
not entailment
~((((((q>y)&u)>(u|l))&(q>l))|~((p&y))))
(~(u)>~(l))
1
1
1
1
entailment
(~(b)&(u|(l&p)))
((s&((l|b)&~(l)))|(b>(~(y)|l)))
1
0
0
0
entailment
~((((((q>y)&u)>(u|l))&(q>l))|~((p&y))))
((s&((l|b)&~(l)))|(b>(~(y)|l)))
0
1
0
0
not entailment
(~(b)&(u|(l&p)))
(~(u)>~(l))
0
1
1
0
not entailment
((b|(q&q))&(b>l))
(l|~((~(u)&(~(q)&(q>b)))))
1
0
0
0
entailment
(((y&p)|b)&~((b&((l>s)|(l>q)))))
((p&q)>y)
1
1
1
0
entailment
((b|(q&q))&(b>l))
((p&q)>y)
0
1
0
0
not entailment
(((y&p)|b)&~((b&((l>s)|(l>q)))))
(l|~((~(u)&(~(q)&(q>b)))))
0
1
0
0
not entailment
~(~(~((u>y))))
~((~((s&~(s)))&y))
1
0
0
0
entailment
((l>u)>(~((u>(s>b)))&(~((b&s))>s)))
(b>l)
1
1
1
1
entailment
~(~(~((u>y))))
(b>l)
0
1
0
0
not entailment
((l>u)>(~((u>(s>b)))&(~((b&s))>s)))
~((~((s&~(s)))&y))
0
1
0
0
not entailment
~((l>u))
~(~((~(u)>(l|q))))
1
0
0
0
entailment
((y|~(y))>~(b))
(b>(((q>(y&p))|~(l))|s))
1
0
0
0
entailment
~((l>u))
(b>(((q>(y&p))|~(l))|s))
0
0
0
0
not entailment
((y|~(y))>~(b))
~(~((~(u)>(l|q))))
0
0
0
0
not entailment
((q|~(~(q)))&~((p|(u>~((b|q))))))
~(~((s|u)))
1
1
0
0
entailment
(~(y)&(b|b))
(~(l)|(((s>b)>(u>(q&b)))|~(y)))
1
0
0
0
entailment
((q|~(~(q)))&~((p|(u>~((b|q))))))
(~(l)|(((s>b)>(u>(q&b)))|~(y)))
0
1
0
0
not entailment
(~(y)&(b|b))
~(~((s|u)))
0
1
0
0
not entailment
(y&(((p&u)>(y>(~(((y>b)&u))>(q&b))))>q))
~(~((l|(s|y))))
1
1
0
0
entailment
~((l|((s|b)>q)))
((b|s)|b)
1
1
1
1
entailment
(y&(((p&u)>(y>(~(((y>b)&u))>(q&b))))>q))
((b|s)|b)
0
1
0
0
not entailment
~((l|((s|b)>q)))
~(~((l|(s|y))))
0
1
0
0
not entailment
(((~(((p&b)>(y>l)))>~(p))>p)&((s&y)&q))
(~(~((((q>p)>l)>~((q>~(s))))))&y)
1
1
1
0
entailment
~(~(((b&s)|(q&~(q)))))
(~((p>(b>(u&((q>l)|p)))))|b)
1
0
0
0
entailment
(((~(((p&b)>(y>l)))>~(p))>p)&((s&y)&q))
(~((p>(b>(u&((q>l)|p)))))|b)
0
1
0
0
not entailment
~(~(((b&s)|(q&~(q)))))
(~(~((((q>p)>l)>~((q>~(s))))))&y)
0
0
0
0
not entailment
~(((q>(l>b))|(p&~((y&(u&y))))))
~(~(((l>(q&l))|(l&~(b)))))
1
1
1
0
entailment
(((s|~((l&b)))&(~(l)>p))&s)
((s&(~(~(l))&~(s)))|s)
1
1
1
0
entailment
~(((q>(l>b))|(p&~((y&(u&y))))))
((s&(~(~(l))&~(s)))|s)
0
1
0
0
not entailment
(((s|~((l&b)))&(~(l)>p))&s)
~(~(((l>(q&l))|(l&~(b)))))
0
1
0
0
not entailment
(u&y)
(p>y)
1
1
0
0
entailment
(((l&q)|s)&s)
((((b|s)>p)&(u&s))|(p|s))
1
0
0
0
entailment
(u&y)
((((b|s)>p)&(u&s))|(p|s))
0
0
0
0
not entailment
(((l&q)|s)&s)
(p>y)
0
1
0
0
not entailment
((q>l)&l)
~(~(((~(~(q))&~(l))>~(y))))
1
0
0
0
entailment
((p&u)&((u>p)&((~(s)&q)&b)))
(((u|y)|~((s>y)))>((s&s)>(s>~(s))))
1
0
0
0
entailment
((q>l)&l)
(((u|y)|~((s>y)))>((s&s)>(s>~(s))))
0
0
0
0
not entailment
((p&u)&((u>p)&((~(s)&q)&b)))
~(~(((~(~(q))&~(l))>~(y))))
0
0
0
0
not entailment
(l&((l&(u>y))>q))
((s|s)|(((p&q)|(y|(~(p)&s)))|(q|l)))
1
0
0
0
entailment
~((b&l))
((l>(~(l)>(p>l)))>((l>(y|~(b)))|p))
1
0
0
0
entailment
(l&((l&(u>y))>q))
((l>(~(l)>(p>l)))>((l>(y|~(b)))|p))
0
0
0
0
not entailment
~((b&l))
((s|s)|(((p&q)|(y|(~(p)&s)))|(q|l)))
0
0
0
0
not entailment
((y|p)&~(~((q&s))))
(s|~(~(((p|(y|b))>~(p)))))
1
0
0
0
entailment
~(((((s|y)|y)>u)>~((l&b))))
((((s|(q>y))>l)>~((y>(s|l))))>(b&b))
1
0
0
0
entailment
((y|p)&~(~((q&s))))
((((s|(q>y))>l)>~((y>(s|l))))>(b&b))
0
0
0
0
not entailment
~(((((s|y)|y)>u)>~((l&b))))
(s|~(~(((p|(y|b))>~(p)))))
0
1
0
0
not entailment
((s|~(((p|u)&p)))&y)
(~((u>(q|s)))|(u|y))
1
1
0
0
entailment
~((s|(b>l)))
(((s&((q&s)>y))>(~(p)>q))|((b&q)|l))
1
0
0
0
entailment
((s|~(((p|u)&p)))&y)
(((s&((q&s)>y))>(~(p)>q))|((b&q)|l))
0
0
0
0
not entailment
~((s|(b>l)))
(~((u>(q|s)))|(u|y))
0
0
0
0
not entailment
~((((l&(y&~(s)))&q)>(((l&l)|~(u))>p)))
(y|~(p))
1
1
1
1
entailment
(~(q)&p)
(~(q)|((p&l)&p))
1
0
0
0
entailment
~((((l&(y&~(s)))&q)>(((l&l)|~(u))>p)))
(~(q)|((p&l)&p))
0
1
1
0
not entailment
(~(q)&p)
(y|~(p))
0
1
0
0
not entailment
(s&(((~(p)&(y&l))>(p>q))>b))
((b|(u&b))|l)
1
1
0
0
entailment
~((q>~(((p&u)&~((s>~(s)))))))
~((((b&l)>p)&(u&~(p))))
1
1
0
0
entailment
(s&(((~(p)&(y&l))>(p>q))>b))
~((((b&l)>p)&(u&~(p))))
0
1
0
0
not entailment
~((q>~(((p&u)&~((s>~(s)))))))
((b|(u&b))|l)
0
1
0
0
not entailment
((j>j)&(((j&e)&j)&(((e|d)|x)&n)))
((g|e)|((b>g)&d))
1
1
0
0
entailment
(~((b|(j|n)))&x)
((((u>j)&j)|(~((b|u))&u))>((g&j)&x))
1
0
0
0
entailment
((j>j)&(((j&e)&j)&(((e|d)|x)&n)))
((((u>j)&j)|(~((b|u))&u))>((g&j)&x))
0
0
0
0
not entailment
(~((b|(j|n)))&x)
((g|e)|((b>g)&d))
0
1
0
0
not entailment
~((((e>j)|(x&b))|(n>j)))
((n&x)|(e&(d>n)))
1
1
0
0
entailment
~((d>~(~((((u>x)|(g|d))&j)))))
((b&b)>d)
1
1
0
0
entailment
~((((e>j)|(x&b))|(n>j)))
((b&b)>d)
0
1
0
0
not entailment
~((d>~(~((((u>x)|(g|d))&j)))))
((n&x)|(e&(d>n)))
0
1
0
0
not entailment
~((u|(g>((j|g)&n))))
((g|((x&d)|d))|~(~(((j&(x>n))>n))))
1
0
0
0
entailment
~((~(~(~(j)))|~(((b>((d|b)|d))|n))))
(~(j)>(d&d))
1
1
1
1
entailment
~((u|(g>((j|g)&n))))
(~(j)>(d&d))
0
1
0
0
not entailment
~((~(~(~(j)))|~(((b>((d|b)|d))|n))))
((g|((x&d)|d))|~(~(((j&(x>n))>n))))
0
1
0
0
not entailment
((x&(n>x))&(g>n))
~(~((((d|b)>b)|(e>x))))
1
0
0
0
entailment
((x>((j>e)>n))&((~(b)&b)|e))
(d|(n|e))
1
1
0
0
entailment
((x&(n>x))&(g>n))
(d|(n|e))
0
1
0
0
not entailment
((x>((j>e)>n))&((~(b)&b)|e))
~(~((((d|b)>b)|(e>x))))
0
1
0
0
not entailment
(~((j&g))&~(x))
(((j>e)&g)>~((j&g)))
1
0
0
0
entailment
~((((((b>u)|~(g))|j)&(u&(n|j)))>~(g)))
((~(j)|(g|e))|e)
1
1
0
0
entailment
(~((j&g))&~(x))
((~(j)|(g|e))|e)
0
1
0
0
not entailment
~((((((b>u)|~(g))|j)&(u&(n|j)))>~(g)))
(((j>e)&g)>~((j&g)))
0
1
0
0
not entailment
(((d|(b|u))|((b|~((j>b)))&d))&(x&x))
(((u>(n>b))>((g>e)>n))>x)
1
1
0
0
entailment
((g&(d&u))&(~(b)&(u&(j&n))))
(((b&((g|b)>g))|d)&(~(n)|d))
1
1
1
0
entailment
(((d|(b|u))|((b|~((j>b)))&d))&(x&x))
(((b&((g|b)>g))|d)&(~(n)|d))
0
1
0
0
not entailment
((g&(d&u))&(~(b)&(u&(j&n))))
(((u>(n>b))>((g>e)>n))>x)
0
1
0
0
not entailment
(g&n)
(((e|((g|~(g))>u))&(b|u))|(b>n))
1
0
0
0
entailment
(((j|n)>(u&j))&((g&(b>e))|(e>u)))
(j|(n>j))
1
1
1
1
entailment
(g&n)
(j|(n>j))
0
0
0
0
not entailment
(((j|n)>(u&j))&((g&(b>e))|(e>u)))
(((e|((g|~(g))>u))&(b|u))|(b>n))
0
1
1
0
not entailment
(~(((~(j)>g)|(x>(n|~(e)))))&d)
(u>~((n&x)))
1
1
0
0
entailment
(u|~((u>(n|j))))
(u|(~(e)&(u&j)))
1
1
0
0
entailment
(~(((~(j)>g)|(x>(n|~(e)))))&d)
(u|(~(e)&(u&j)))
0
1
0
0
not entailment
(u|~((u>(n|j))))
(u>~((n&x)))
0
1
0
0
not entailment
(u&x)
(b>(((n>(e|(b>n)))&x)|(u&(((g|e)&g)|b))))
1
0
0
0
entailment
(~(d)&~(g))
(((e|((d&g)>j))&~(g))|~((~((u&g))>g)))
1
0
0
0
entailment
(u&x)
(((e|((d&g)>j))&~(g))|~((~((u&g))>g)))
0
0
0
0
not entailment
(~(d)&~(g))
(b>(((n>(e|(b>n)))&x)|(u&(((g|e)&g)|b))))
0
0
0
0
not entailment
(j&~(~((~(~((d>e)))>d))))
(((j>n)&(~(b)|e))>(x>((u&e)|(d>n))))
1
0
0
0
entailment
~(((e>e)>j))
(j>b)
1
1
0
0
entailment