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
((x&(l|u))&y)
(((j&(r&x))|~((~(l)|h)))|~(~((u|x))))
1
0
0
0
entailment
(~((s|((j&n)>k)))&j)
(k>((x&j)&r))
1
1
0
0
entailment
((x&(l|u))&y)
(k>((x&j)&r))
0
1
0
0
not entailment
(~((s|((j&n)>k)))&j)
(((j&(r&x))|~((~(l)|h)))|~(~((u|x))))
0
0
0
0
not entailment
((~(j)&(~(x)&~((h|(j|(r|n))))))|k)
(~((~((l>(n|k)))|~(j)))|(h>(j>x)))
1
1
0
0
entailment
~(((r&j)>~(~(((u>u)&(u|~(~(k))))))))
(x|r)
1
1
0
0
entailment
((~(j)&(~(x)&~((h|(j|(r|n))))))|k)
(x|r)
0
1
1
0
not entailment
~(((r&j)>~(~(((u>u)&(u|~(~(k))))))))
(~((~((l>(n|k)))|~(j)))|(h>(j>x)))
0
1
0
0
not entailment
((s|((t>t)&(t&s)))&((s>(t|t))&(s|t)))
((s&t)|~(~(s)))
1
1
1
1
entailment
(((t|s)|(s|t))>~(((s&(t>(t&t)))>(t|s))))
~((~(~((s>t)))&t))
1
1
1
1
entailment
((s|((t>t)&(t&s)))&((s>(t|t))&(s|t)))
~((~(~((s>t)))&t))
0
1
1
1
not entailment
(((t|s)|(s|t))>~(((s&(t>(t&t)))>(t|s))))
((s&t)|~(~(s)))
0
1
1
1
not entailment
((s|t)&t)
((t|t)&((t|s)>~((~(t)&(s&t)))))
1
0
1
0
entailment
((s>~((s|(t&t))))&~(((t|s)&t)))
~(~((~(t)&~(s))))
1
1
1
1
entailment
((s|t)&t)
~(~((~(t)&~(s))))
0
0
1
0
not entailment
((s>~((s|(t&t))))&~(((t|s)&t)))
((t|t)&((t|s)>~((~(t)&(s&t)))))
0
1
1
0
not entailment
(t&t)
(s|(t&t))
1
0
0
0
entailment
~(((t&s)|t))
(s|(t>(((s&(t|~(s)))|s)&~(t))))
1
0
1
0
entailment
(t&t)
(s|(t>(((s&(t|~(s)))|s)&~(t))))
0
0
0
0
not entailment
~(((t&s)|t))
(s|(t&t))
0
1
1
0
not entailment
(s&t)
((s>t)|t)
1
0
1
0
entailment
((t>t)>~(((s&(t>s))>(t&(s>t)))))
(((t&(s&s))>(s>s))&(s>~((t|t))))
1
1
1
0
entailment
(s&t)
(((t&(s&s))>(s>s))&(s>~((t|t))))
0
0
1
0
not entailment
((t>t)>~(((s&(t>s))>(t&(s>t)))))
((s>t)|t)
0
1
1
0
not entailment
~((t>s))
(~(~(~(s)))|((s&t)&(s&((s&t)|t))))
1
0
1
0
entailment
(s&(((s|t)|t)>s))
((s>s)&s)
1
1
1
1
entailment
~((t>s))
((s>s)&s)
0
1
1
0
not entailment
(s&(((s|t)|t)>s))
(~(~(~(s)))|((s&t)&(s&((s&t)|t))))
0
0
1
0
not entailment
((t&t)&(s|s))
(~(~(t))&((t&(s&s))>s))
1
0
1
0
entailment
~(s)
~(((s|s)&t))
1
0
0
0
entailment
((t&t)&(s|s))
~(((s|s)&t))
0
1
1
0
not entailment
~(s)
(~(~(t))&((t&(s&s))>s))
0
0
0
0
not entailment
(((t&s)|s)&(t|(s|(s&s))))
(t|s)
1
1
1
1
entailment
~(~(((~(s)&~((s&t)))|~((s|s)))))
((s&((s|t)>s))>t)
1
1
1
0
entailment
(((t&s)|s)&(t|(s|(s&s))))
((s&((s|t)>s))>t)
0
1
1
0
not entailment
~(~(((~(s)&~((s&t)))|~((s|s)))))
(t|s)
0
1
1
0
not entailment
~((((~(t)>t)|s)>s))
((t>(t&t))&t)
1
1
1
0
entailment
(s|(~(~(s))|s))
((~(((t&s)|t))|s)|(s|(t&s)))
1
0
0
0
entailment
~((((~(t)>t)|s)>s))
((~(((t&s)|t))|s)|(s|(t&s)))
0
0
1
0
not entailment
(s|(~(~(s))|s))
((t>(t&t))&t)
0
1
0
0
not entailment
(t|t)
(t|t)
1
1
1
1
entailment
(s|s)
(~(((s&s)>~(t)))|(~(~(s))&(s|t)))
1
0
0
0
entailment
(t|t)
(~(((s&s)>~(t)))|(~(~(s))&(s|t)))
0
0
0
0
not entailment
(s|s)
(t|t)
0
1
0
0
not entailment
(t&((t&s)|(t|s)))
(((s>((s>s)>s))>t)|t)
1
0
1
0
entailment
(s|(t&s))
(((s|t)|(s|t))>(t>s))
1
0
1
0
entailment
(t&((t&s)|(t|s)))
(((s|t)|(s|t))>(t>s))
0
0
1
0
not entailment
(s|(t&s))
(((s>((s>s)>s))>t)|t)
0
0
1
0
not entailment
((s&(s|s))&t)
(t&s)
1
1
1
1
entailment
(s&~(t))
(t>~((t&(s|(s|(t&s))))))
1
0
1
0
entailment
((s&(s|s))&t)
(t>~((t&(s|(s|(t&s))))))
0
0
1
0
not entailment
(s&~(t))
(t&s)
0
1
1
0
not entailment
((s&t)|t)
(s>(((s|s)&t)&t))
1
0
1
0
entailment
(((t>t)&(t>(~((s>(s|s)))>(t&t))))&s)
(~(((~(s)>s)&t))>(~((t>(s|t)))|s))
1
1
1
1
entailment
((s&t)|t)
(~(((~(s)>s)&t))>(~((t>(s|t)))|s))
0
0
1
0
not entailment
(((t>t)&(t>(~((s>(s|s)))>(t&t))))&s)
(s>(((s|s)&t)&t))
0
1
1
1
not entailment
(t|s)
((((t>t)&(s|s))>s)>(s|t))
1
0
1
0
entailment
(((((t>s)>s)>(s&s))|s)&~((~(t)>s)))
(t>~((~(t)|(s|t))))
1
1
1
0
entailment
(t|s)
(t>~((~(t)|(s|t))))
0
0
1
0
not entailment
(((((t>s)>s)>(s&s))|s)&~((~(t)>s)))
((((t>t)&(s|s))>s)>(s|t))
0
1
1
0
not entailment
~((~(t)&s))
~(~(((s>~((t|s)))|(~((s|t))|t))))
1
0
1
0
entailment
~(t)
(t>(((t|s)&t)&s))
1
0
0
0
entailment
~((~(t)&s))
(t>(((t|s)&t)&s))
0
0
1
0
not entailment
~(t)
~(~(((s>~((t|s)))|(~((s|t))|t))))
0
0
0
0
not entailment
(~(h)|f)
((h>m)|(~(b)|(~((b|d))|f)))
1
0
0
0
entailment
(o&~(((o&y)>e)))
(m|(((m>e)&o)&(~(b)>y)))
1
0
0
0
entailment
(~(h)|f)
(m|(((m>e)&o)&(~(b)>y)))
0
0
0
0
not entailment
(o&~(((o&y)>e)))
((h>m)|(~(b)|(~((b|d))|f)))
0
0
0
0
not entailment
~((e|(o>(d|~(f)))))
~((~((d|(y&(y&h))))&e))
1
0
0
0
entailment
~(~(((~((m>~(y)))&f)&f)))
(~(((y>m)|(e|(e&y))))>~(f))
1
1
0
0
entailment
~((e|(o>(d|~(f)))))
(~(((y>m)|(e|(e&y))))>~(f))
0
0
0
0
not entailment
~(~(((~((m>~(y)))&f)&f)))
~((~((d|(y&(y&h))))&e))
0
1
0
0
not entailment
(y&~((d|f)))
(y|y)
1
1
1
1
entailment
~((((f|y)&h)>((h>b)|(~(f)&h))))
~(b)
1
1
1
1
entailment
(y&~((d|f)))
~(b)
0
1
0
0
not entailment
~((((f|y)&h)>((h>b)|(~(f)&h))))
(y|y)
0
1
1
1
not entailment
~(((~(m)|(h|e))>(((m>b)&e)>b)))
((b|f)|e)
1
1
0
0
entailment
(h&(~(y)&o))
(h|~(((d|m)>(y&m))))
1
0
0
0
entailment
~(((~(m)|(h|e))>(((m>b)&e)>b)))
(h|~(((d|m)>(y&m))))
0
1
0
0
not entailment
(h&(~(y)&o))
((b|f)|e)
0
1
0
0
not entailment
(h&e)
(e|f)
1
1
0
0
entailment
~(~(~((f&(m|o)))))
((~(m)|(y|d))|~((((o|b)>y)&f)))
1
0
0
0
entailment
(h&e)
((~(m)|(y|d))|~((((o|b)>y)&f)))
0
0
0
0
not entailment
~(~(~((f&(m|o)))))
(e|f)
0
1
0
0
not entailment
(~(m)&~(y))
(m>e)
1
1
0
0
entailment
~(d)
(f|(d>(m&o)))
1
0
0
0
entailment
(~(m)&~(y))
(f|(d>(m&o)))
0
1
0
0
not entailment
~(d)
(m>e)
0
1
0
0
not entailment
~((d>(y>m)))
(b>(~(m)&d))
1
1
0
0
entailment
(b&(~((d&d))&e))
((((y>m)|e)&(y>(m|d)))|((o|h)|(d>~(b))))
1
0
0
0
entailment
~((d>(y>m)))
((((y>m)|e)&(y>(m|d)))|((o|h)|(d>~(b))))
0
0
0
0
not entailment
(b&(~((d&d))&e))
(b>(~(m)&d))
0
1
0
0
not entailment
((h|(~(~(e))&e))&(d|(h&d)))
(((~((e&b))&~((b&m)))>((o&(y>f))>f))|d)
1
0
0
0
entailment
~(((m|m)>(~((((h&f)|d)>b))&b)))
((d|b)>m)
1
1
1
1
entailment
((h|(~(~(e))&e))&(d|(h&d)))
((d|b)>m)
0
1
0
0
not entailment
~(((m|m)>(~((((h&f)|d)>b))&b)))
(((~((e&b))&~((b&m)))>((o&(y>f))>f))|d)
0
0
0
0
not entailment
~(~(((b&o)&(h&(m|y)))))
((h|(h|d))>o)
1
1
0
0
entailment
~((~(h)>(f>e)))
~(~(~((b&e))))
1
1
0
0
entailment
~(~(((b&o)&(h&(m|y)))))
~(~(~((b&e))))
0
1
0
0
not entailment
~((~(h)>(f>e)))
((h|(h|d))>o)
0
1
0
0
not entailment