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
~(c)
~(((((k&c)>(b&c))>f)&c))
1
0
0
0
entailment
(~((l&f))&(b&(i&d)))
((b&i)&(l>(d|k)))
1
1
0
0
entailment
~(c)
((b&i)&(l>(d|k)))
0
0
0
0
not entailment
(~((l&f))&(b&(i&d)))
~(((((k&c)>(b&c))>f)&c))
0
0
0
0
not entailment
(k&(d|(b|f)))
((c>((d>k)>k))|~((~((~(b)>l))|f)))
1
0
0
0
entailment
((~(l)>d)>d)
(~(((b>(((i|k)>(d|l))>c))&(l&c)))|d)
1
0
0
0
entailment
(k&(d|(b|f)))
(~(((b>(((i|k)>(d|l))>c))&(l&c)))|d)
0
0
0
0
not entailment
((~(l)>d)>d)
((c>((d>k)>k))|~((~((~(b)>l))|f)))
0
0
0
0
not entailment
((((f|l)&((k|d)>i))&f)&((b>i)|c))
(d>f)
1
1
1
1
entailment
(c&l)
(b|c)
1
1
0
0
entailment
((((f|l)&((k|d)>i))&f)&((b>i)|c))
(b|c)
0
1
1
0
not entailment
(c&l)
(d>f)
0
1
0
0
not entailment
(~((((f|k)&b)&c))&k)
(k|f)
1
1
1
0
entailment
((i&i)&c)
((i&((d&f)|~(i)))|~(~((i|d))))
1
0
0
0
entailment
(~((((f|k)&b)&c))&k)
((i&((d&f)|~(i)))|~(~((i|d))))
0
0
0
0
not entailment
((i&i)&c)
(k|f)
0
1
0
0
not entailment
((((i|l)>k)|~((k|f)))&(c&(c&((k&f)&c))))
(k|l)
1
1
1
0
entailment
~(~((f&i)))
(((l>k)|~(l))>(i|i))
1
0
0
0
entailment
((((i|l)>k)|~((k|f)))&(c&(c&((k&f)&c))))
(((l>k)|~(l))>(i|i))
0
1
1
0
not entailment
~(~((f&i)))
(k|l)
0
1
0
0
not entailment
((d|(((c&f)&(l>k))>k))&(f&c))
((i>d)|(((d|f)>f)&c))
1
1
0
0
entailment
(i&(f>d))
(c>((l|(i|d))|(((((l>l)&c)&f)>f)>b)))
1
0
0
0
entailment
((d|(((c&f)&(l>k))>k))&(f&c))
(c>((l|(i|d))|(((((l>l)&c)&f)>f)>b)))
0
0
0
0
not entailment
(i&(f>d))
((i>d)|(((d|f)>f)&c))
0
0
0
0
not entailment
((~(f)>i)&(b&(c&f)))
(f&f)
1
1
1
1
entailment
~(((~(k)&(~((k&b))|(b>l)))>(d>l)))
((b|i)>~(l))
1
1
0
0
entailment
((~(f)>i)&(b&(c&f)))
((b|i)>~(l))
0
1
0
0
not entailment
~(((~(k)&(~((k&b))|(b>l)))>(d>l)))
(f&f)
0
1
0
0
not entailment
(~(f)&((l|k)>(((l>(d|c))|l)&i)))
((f>k)|(l>i))
1
1
1
0
entailment
((f|(c|~(~(i))))&~(i))
((d&i)>(c>~(c)))
1
1
0
0
entailment
(~(f)&((l|k)>(((l>(d|c))|l)&i)))
((d&i)>(c>~(c)))
0
1
1
0
not entailment
((f|(c|~(~(i))))&~(i))
((f>k)|(l>i))
0
1
0
0
not entailment
~(((((b|(b|d))>c)|(b&f))|d))
(i|((d|f)>(d|b)))
1
1
0
0
entailment
(~(i)&~(b))
(((~(c)|i)&~(i))|c)
1
0
0
0
entailment
~(((((b|(b|d))>c)|(b&f))|d))
(((~(c)|i)&~(i))|c)
0
1
0
0
not entailment
(~(i)&~(b))
(i|((d|f)>(d|b)))
0
0
0
0
not entailment
((~(i)&k)&b)
(~(b)>f)
1
1
0
0
entailment
~((d>k))
(c>d)
1
1
0
0
entailment
((~(i)&k)&b)
(c>d)
0
1
0
0
not entailment
~((d>k))
(~(b)>f)
0
1
0
0
not entailment
(~(d)&((b&((k>i)&i))|(b&b)))
(~(i)|((b>(f&d))>((c>(l>k))|d)))
1
0
0
0
entailment
~(((d|(c|d))>~(l)))
(k>(l|i))
1
1
0
0
entailment
(~(d)&((b&((k>i)&i))|(b&b)))
(k>(l|i))
0
1
0
0
not entailment
~(((d|(c|d))>~(l)))
(~(i)|((b>(f&d))>((c>(l>k))|d)))
0
0
0
0
not entailment
(~(((i|(k>d))&((k|c)&i)))>i)
(c|((i&d)|i))
1
1
1
1
entailment
~(((b|(b|(l|k)))>((~(b)|~(k))|d)))
(l>b)
1
1
1
0
entailment
(~(((i|(k>d))&((k|c)&i)))>i)
(l>b)
0
1
0
0
not entailment
~(((b|(b|(l|k)))>((~(b)|~(k))|d)))
(c|((i&d)|i))
0
1
0
0
not entailment
((d>c)&c)
(c|(f&f))
1
1
0
0
entailment
~(((c|c)|~((f>i))))
(i|((f|(l&i))>(((c|k)|f)>(f>b))))
1
0
0
0
entailment
((d>c)&c)
(i|((f|(l&i))>(((c|k)|f)>(f>b))))
0
0
0
0
not entailment
~(((c|c)|~((f>i))))
(c|(f&f))
0
1
1
0
not entailment
(i&(b>b))
(~(k)>(l|(c|i)))
1
0
0
0
entailment
(l>~((k|l)))
(b|(l>c))
1
1
0
0
entailment
(i&(b>b))
(b|(l>c))
0
1
0
0
not entailment
(l>~((k|l)))
(~(k)>(l|(c|i)))
0
0
0
0
not entailment
~(((((c>(c|f))&b)|~(l))|k))
((i>~(((i|b)&((d>f)|b))))>(d>l))
1
0
0
0
entailment
~((~((c|~(~(c))))>(k|k)))
(~(k)&((c&d)>(f|i)))
1
1
0
0
entailment
~(((((c>(c|f))&b)|~(l))|k))
(~(k)&((c&d)>(f|i)))
0
1
0
0
not entailment
~((~((c|~(~(c))))>(k|k)))
((i>~(((i|b)&((d>f)|b))))>(d>l))
0
0
0
0
not entailment
(~((l>((b&~(i))&(d&i))))&(~((l&b))&i))
((b&((d|(d|l))|i))>(k&((l&l)&l)))
1
1
0
0
entailment
(i&~(~(((~(f)|l)>f))))
((c>(~(f)>f))|((f&b)|~(l)))
1
0
0
0
entailment
(~((l>((b&~(i))&(d&i))))&(~((l&b))&i))
((c>(~(f)>f))|((f&b)|~(l)))
0
1
0
0
not entailment
(i&~(~(((~(f)|l)>f))))
((b&((d|(d|l))|i))>(k&((l&l)&l)))
0
0
0
0
not entailment
~(~(~(((f&k)>(c>((~(l)>c)>(b&f)))))))
(k&((l>(i>(d>d)))|~((~(i)|(~(i)>c)))))
1
1
0
0
entailment
(d&b)
((l|d)>(f>(~((l&i))>d)))
1
0
0
0
entailment
~(~(~(((f&k)>(c>((~(l)>c)>(b&f)))))))
((l|d)>(f>(~((l&i))>d)))
0
1
0
0
not entailment
(d&b)
(k&((l>(i>(d>d)))|~((~(i)|(~(i)>c)))))
0
0
0
0
not entailment
~(((z|a)>(z>a)))
(~(~(z))|((z&(z|(a&z)))&a))
1
0
1
1
entailment
(a&a)
(a|(z>((a|a)&z)))
1
0
0
0
entailment
~(((z|a)>(z>a)))
(a|(z>((a|a)&z)))
0
1
1
0
not entailment
(a&a)
(~(~(z))|((z&(z|(a&z)))&a))
0
0
0
0
not entailment
(a&(a&z))
((a|((a&a)&(a>a)))|a)
1
0
1
0
entailment
(~(a)&(z>(z&a)))
~((~(((a|a)&z))>z))
1
0
1
1
entailment
(a&(a&z))
~((~(((a|a)&z))>z))
0
0
1
0
not entailment
(~(a)&(z>(z&a)))
((a|((a&a)&(a>a)))|a)
0
0
1
1
not entailment
(a|a)
((z>(z>z))>a)
1
0
0
0
entailment
((z>a)>z)
(((z|z)|(a&z))|((z>z)&z))
1
0
1
0
entailment
(a|a)
(((z|z)|(a&z))|((z>z)&z))
0
0
0
0
not entailment
((z>a)>z)
((z>(z>z))>a)
0
0
1
0
not entailment
(z|(~(~((z>a)))&((a|a)|a)))
((z|(a&z))|a)
1
1
1
1
entailment
~(z)
~(z)
1
1
1
1
entailment
(z|(~(~((z>a)))&((a|a)|a)))
~(z)
0
1
1
1
not entailment
~(z)
((z|(a&z))|a)
0
0
0
0
not entailment
(j&(~(o)|((i>(y&y))&~(h))))
(((u&(u|y))>(y&r))|((y|j)>((e>v)>j)))
1
0
0
0
entailment
~(~(h))
(v|(((y&v)|h)|(r&(v>~(u)))))
1
0
0
0
entailment
(j&(~(o)|((i>(y&y))&~(h))))
(v|(((y&v)|h)|(r&(v>~(u)))))
0
1
0
0
not entailment
~(~(h))
(((u&(u|y))>(y&r))|((y|j)>((e>v)>j)))
0
0
0
0
not entailment
(~((~(i)>u))&((r&(i>(i&(u|u))))&o))
((y>y)>~((u|i)))
1
1
0
0
entailment
~((i>(~(r)>(i&(o&e)))))
(((i&~(f))|~((f>r)))|(f|i))
1
0
0
0
entailment
(~((~(i)>u))&((r&(i>(i&(u|u))))&o))
(((i&~(f))|~((f>r)))|(f|i))
0
1
0
0
not entailment
~((i>(~(r)>(i&(o&e)))))
((y>y)>~((u|i)))
0
1
0
0
not entailment
((((y&(o>(f&e)))|h)>~(((r>y)&y)))>~(h))
((~(h)|(v|y))|(((r|j)>o)|~(r)))
1
1
0
0
entailment
~(((u|((h>u)>(i>h)))>(j>((o|o)|(o&u)))))
(~(((u&o)|(o>i)))>((f>v)&(h>r)))
1
1
0
0
entailment
((((y&(o>(f&e)))|h)>~(((r>y)&y)))>~(h))
(~(((u&o)|(o>i)))>((f>v)&(h>r)))
0
1
0
0
not entailment
~(((u|((h>u)>(i>h)))>(j>((o|o)|(o&u)))))
((~(h)|(v|y))|(((r|j)>o)|~(r)))
0
1
0
0
not entailment
(j&((f>v)&f))
(o|(j|(i&j)))
1
1
0
0
entailment
~((((e&f)|(j>(y>f)))>(e>~((f&u)))))
((h>y)>(~(~(e))|(o&((h>((e>f)>u))>h))))
1
0
0
0
entailment
(j&((f>v)&f))
((h>y)>(~(~(e))|(o&((h>((e>f)>u))>h))))
0
0
0
0
not entailment
~((((e&f)|(j>(y>f)))>(e>~((f&u)))))
(o|(j|(i&j)))
0
1
0
0
not entailment