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
~((w|(((b|a)>i)|(h|(r>(n|a))))))
(((w&(i&r))|~(b))>(b&u))
1
1
0
0
entailment
(~((~(x)|h))&(~((w>g))&((w>u)|n)))
~(~(((b|w)>x)))
1
1
0
0
entailment
~((w|(((b|a)>i)|(h|(r>(n|a))))))
~(~(((b|w)>x)))
0
1
0
0
not entailment
(~((~(x)|h))&(~((w>g))&((w>u)|n)))
(((w&(i&r))|~(b))>(b&u))
0
1
0
0
not entailment
~((((w|w)|(g>b))|~((u&h))))
(w>(((g>u)>g)>~(h)))
1
1
1
0
entailment
(n&u)
(~(~(((g>(a|g))&n)))|~(((x&(r|a))|b)))
1
0
0
0
entailment
~((((w|w)|(g>b))|~((u&h))))
(~(~(((g>(a|g))&n)))|~(((x&(r|a))|b)))
0
0
0
0
not entailment
(n&u)
(w>(((g>u)>g)>~(h)))
0
0
0
0
not entailment
((v&~((x&v)))&s)
((e&f)|(~(x)|~((~(i)>i))))
1
0
0
0
entailment
((s&(~(f)&~(e)))&((i>x)|(s&x)))
((~(s)>(f|(s&s)))>((f|e)>~(~((e>x)))))
1
0
1
0
entailment
((v&~((x&v)))&s)
((~(s)>(f|(s&s)))>((f|e)>~(~((e>x)))))
0
0
0
0
not entailment
((s&(~(f)&~(e)))&((i>x)|(s&x)))
((e&f)|(~(x)|~((~(i)>i))))
0
1
1
0
not entailment
(~(((s&s)&s))&(x&(f>x)))
(e|~((s|s)))
1
1
0
0
entailment
(~((x|(x&s)))&~((i|v)))
(e>((~(x)|v)&e))
1
1
0
0
entailment
(~(((s&s)&s))&(x&(f>x)))
(e>((~(x)|v)&e))
0
1
0
0
not entailment
(~((x|(x&s)))&~((i|v)))
(e|~((s|s)))
0
1
0
0
not entailment
~(e)
(e>~(((~((v>~(v)))&((~(f)|s)&e))&i)))
1
0
0
0
entailment
((v>f)>(~(e)&((e>e)>e)))
((v|(s&(f>f)))>(v|i))
1
1
0
0
entailment
~(e)
((v|(s&(f>f)))>(v|i))
0
0
0
0
not entailment
((v>f)>(~(e)&((e>e)>e)))
(e>~(((~((v>~(v)))&((~(f)|s)&e))&i)))
0
0
0
0
not entailment
(~(v)&((((s&~(i))&x)|i)&(e&(e>e))))
((x&(v>f))|(i|f))
1
1
0
0
entailment
((f|(f>x))>~(~((s&(~(~(s))&s)))))
(v|s)
1
1
0
0
entailment
(~(v)&((((s&~(i))&x)|i)&(e&(e>e))))
(v|s)
0
1
1
0
not entailment
((f|(f>x))>~(~((s&(~(~(s))&s)))))
((x&(v>f))|(i|f))
0
1
0
0
not entailment
~((i|x))
(~((s&x))|(s&v))
1
0
0
0
entailment
(f&s)
(s|((((v|i)|f)>(s&x))&(e&(i&x))))
1
0
0
0
entailment
~((i|x))
(s|((((v|i)|f)>(s&x))&(e&(i&x))))
0
0
0
0
not entailment
(f&s)
(~((s&x))|(s&v))
0
0
0
0
not entailment
((s&x)&((e>x)&x))
((((f>v)&x)&~((s&(v>s))))>~(i))
1
0
0
0
entailment
(i&x)
(((s&i)&f)|((i&((e>s)|e))|(v&x)))
1
0
0
0
entailment
((s&x)&((e>x)&x))
(((s&i)&f)|((i&((e>s)|e))|(v&x)))
0
0
0
0
not entailment
(i&x)
((((f>v)&x)&~((s&(v>s))))>~(i))
0
0
0
0
not entailment
(x&(e|s))
((((x>s)|v)>((x&(~(v)|i))&x))|~(i))
1
0
0
0
entailment
(f&~((~(~((((e>e)&x)|v)))|((v&i)|e))))
((s&e)|(((((f|f)|i)>(s>s))&e)>~((e&i))))
1
1
0
0
entailment
(x&(e|s))
((s&e)|(((((f|f)|i)>(s>s))&e)>~((e&i))))
0
0
0
0
not entailment
(f&~((~(~((((e>e)&x)|v)))|((v&i)|e))))
((((x>s)|v)>((x&(~(v)|i))&x))|~(i))
0
1
0
0
not entailment
~((((e|(s&s))>v)>(((x>v)>e)&(f|x))))
((~((e>s))>v)|x)
1
1
1
0
entailment
(f&((i>v)>~((v>((f|x)|x)))))
(i|((f|f)|i))
1
1
1
1
entailment
~((((e|(s&s))>v)>(((x>v)>e)&(f|x))))
(i|((f|f)|i))
0
1
0
0
not entailment
(f&((i>v)>~((v>((f|x)|x)))))
((~((e>s))>v)|x)
0
1
0
0
not entailment
(~((x>e))&i)
~(((~(s)>f)&~((~(s)|x))))
1
0
0
0
entailment
~((f>((i&e)>(i&v))))
~((v|(((((e&f)>v)>(e>x))&~(v))&~(e))))
1
0
0
0
entailment
(~((x>e))&i)
~((v|(((((e&f)>v)>(e>x))&~(v))&~(e))))
0
0
0
0
not entailment
~((f>((i&e)>(i&v))))
~(((~(s)>f)&~((~(s)|x))))
0
0
0
0
not entailment
((s>(x&i))&(x&(v>~(i))))
(e>x)
1
1
0
0
entailment
((e&v)&i)
(v&i)
1
1
1
1
entailment
((s>(x&i))&(x&(v>~(i))))
(v&i)
0
1
1
0
not entailment
((e&v)&i)
(e>x)
0
1
0
0
not entailment
((i&e)&i)
(e|(x|(v&(((v>i)&(~((v|s))&f))>x))))
1
0
0
0
entailment
(((e|f)|e)&f)
((v|f)|~(i))
1
1
0
0
entailment
((i&e)&i)
((v|f)|~(i))
0
0
0
0
not entailment
(((e|f)|e)&f)
(e|(x|(v&(((v>i)&(~((v|s))&f))>x))))
0
0
0
0
not entailment
(x>~((x&x)))
(((s>i)|(x&(x>f)))|(x>(v|i)))
1
0
0
0
entailment
((x&f)|x)
(x|s)
1
1
0
0
entailment
(x>~((x&x)))
(x|s)
0
1
0
0
not entailment
((x&f)|x)
(((s>i)|(x&(x>f)))|(x>(v|i)))
0
0
0
0
not entailment
(v|v)
((~((((~(v)|e)|x)>v))&(~(i)>x))>s)
1
0
0
0
entailment
~(((s|x)>((e>s)|((~(v)&~(x))|f))))
(((v|s)>s)|(e|(v>(f|(s|e)))))
1
1
1
0
entailment
(v|v)
(((v|s)>s)|(e|(v>(f|(s|e)))))
0
0
0
0
not entailment
~(((s|x)>((e>s)|((~(v)&~(x))|f))))
((~((((~(v)|e)|x)>v))&(~(i)>x))>s)
0
1
0
0
not entailment
((v>f)&(((f>(e|f))&e)&(s&f)))
(v>e)
1
1
1
1
entailment
(((x>v)|(v|x))&(v&((x|((e>s)&f))|~(s))))
~(~((v|(s&(i&~((f>i)))))))
1
1
0
0
entailment
((v>f)&(((f>(e|f))&e)&(s&f)))
~(~((v|(s&(i&~((f>i)))))))
0
1
0
0
not entailment
(((x>v)|(v|x))&(v&((x|((e>s)&f))|~(s))))
(v>e)
0
1
1
0
not entailment
((x&f)&(i|s))
(((f|~(~(i)))&v)|((x|(s|e))&f))
1
0
0
0
entailment
(((((i>x)>f)>(~(v)>s))|~((e>~(x))))&i)
(i|((x|f)&e))
1
1
1
0
entailment
((x&f)&(i|s))
(i|((x|f)&e))
0
1
0
0
not entailment
(((((i>x)>f)>(~(v)>s))|~((e>~(x))))&i)
(((f|~(~(i)))&v)|((x|(s|e))&f))
0
1
1
0
not entailment
(((s|~((i>(x|i))))>(x&i))&~(~((s&v))))
(~(~((v&x)))|(~(f)|s))
1
1
0
0
entailment
(((i|f)|(x&~(e)))&~(i))
~((i&v))
1
1
0
0
entailment
(((s|~((i>(x|i))))>(x&i))&~(~((s&v))))
~((i&v))
0
1
1
0
not entailment
(((i|f)|(x&~(e)))&~(i))
(~(~((v&x)))|(~(f)|s))
0
1
0
0
not entailment
~((~((v&x))|(e|~(i))))
(v|i)
1
1
1
1
entailment
(e&s)
(~(i)|(f|(s&(s|e))))
1
0
0
0
entailment
~((~((v&x))|(e|~(i))))
(~(i)|(f|(s&(s|e))))
0
1
0
0
not entailment
(e&s)
(v|i)
0
1
0
0
not entailment
((i|((v>v)|i))>v)
((~(x)|v)|((e>s)>v))
1
0
0
0
entailment
~((i>~(f)))
(f&(((v&v)|i)&((e&i)>i)))
1
0
0
0
entailment
((i|((v>v)|i))>v)
(f&(((v&v)|i)&((e&i)>i)))
0
0
0
0
not entailment
~((i>~(f)))
((~(x)|v)|((e>s)>v))
0
0
0
0
not entailment
((((q|t)>m)&d)&((j|t)&(t&m)))
((v>d)|~(((((v|l)>q)>y)>v)))
1
1
0
0
entailment
~((((f>j)|((y|v)|f))>f))
~((f|f))
1
1
1
1
entailment
((((q|t)>m)&d)&((j|t)&(t&m)))
~((f|f))
0
1
0
0
not entailment
~((((f>j)|((y|v)|f))>f))
((v>d)|~(((((v|l)>q)>y)>v)))
0
0
0
0
not entailment
(v&(y>j))
(y>v)
1
1
1
1
entailment
(~((y>(~(q)>t)))&~(v))
(y|(m&t))
1
1
0
0
entailment
(v&(y>j))
(y|(m&t))
0
1
0
0
not entailment
(~((y>(~(q)>t)))&~(v))
(y>v)
0
1
1
0
not entailment
(j|~(~(j)))
~(~((y>((m&j)|((m>f)|~(l))))))
1
0
0
0
entailment
~((l>((f&(v&y))|t)))
(((t|l)>j)>l)
1
1
0
0
entailment
(j|~(~(j)))
(((t|l)>j)>l)
0
1
0
0
not entailment
~((l>((f&(v&y))|t)))
~(~((y>((m&j)|((m>f)|~(l))))))
0
0
0
0
not entailment
((~(q)>d)&(j&((m>l)>q)))
(v|(v|j))
1
1
0
0
entailment
(~((((y|l)|(m&(q>d)))|(j|~(t))))&~(q))
((~(v)|~(q))|t)
1
1
0
0
entailment
((~(q)>d)&(j&((m>l)>q)))
((~(v)|~(q))|t)
0
1
0
0
not entailment
(~((((y|l)|(m&(q>d)))|(j|~(t))))&~(q))
(v|(v|j))
0
1
0
0
not entailment
(~((~(((j>d)>~(f)))|((d|t)>~(j))))&l)
~(((((~(q)>l)&(v>m))>f)&(m&~(l))))
1
1
0
0
entailment
(d&f)
(f&(~(d)>v))
1
0
0
0
entailment
(~((~(((j>d)>~(f)))|((d|t)>~(j))))&l)
(f&(~(d)>v))
0
1
0
0
not entailment
(d&f)
~(((((~(q)>l)&(v>m))>f)&(m&~(l))))
0
0
0
0
not entailment