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&(f&(b|x)))
(f>z)
0
1
0
0
not entailment
((x&q)&z)
((b>f)|(((j|z)&j)|f))
0
0
0
0
not entailment
(z&j)
((g>z)|~(((~(((z>x)>x))|~(~(z)))>x)))
1
0
0
0
entailment
~((q|(j|j)))
~(j)
1
1
1
1
entailment
(z&j)
~(j)
0
1
1
0
not entailment
~((q|(j|j)))
((g>z)|~(((~(((z>x)>x))|~(~(z)))>x)))
0
0
0
0
not entailment
((~(h)>x)>~(~(~((g>g)))))
((h&(~((b&(f&h)))&(h>b)))>q)
1
1
0
0
entailment
(h&(z|q))
(((f>x)|h)|(f&h))
1
0
0
0
entailment
((~(h)>x)>~(~(~((g>g)))))
(((f>x)|h)|(f&h))
0
1
0
0
not entailment
(h&(z|q))
((h&(~((b&(f&h)))&(h>b)))>q)
0
0
0
0
not entailment
~(~(~(((x&x)|h))))
((z|(x>f))|h)
1
1
0
0
entailment
~((~(g)&~((f&x))))
((x&~(g))|g)
1
1
1
0
entailment
~(~(~(((x&x)|h))))
((x&~(g))|g)
0
1
0
0
not entailment
~((~(g)&~((f&x))))
((z|(x>f))|h)
0
1
0
0
not entailment
(((h&(z&g))|((~(z)|h)|(h&q)))&q)
(((b|b)&j)|q)
1
1
0
0
entailment
~((((x|h)>z)>(h|z)))
~((~((h>~((g>h))))&f))
1
0
0
0
entailment
(((h&(z&g))|((~(z)|h)|(h&q)))&q)
~((~((h>~((g>h))))&f))
0
1
0
0
not entailment
~((((x|h)>z)>(h|z)))
(((b|b)&j)|q)
0
1
0
0
not entailment
((~(h)&~(~(z)))&((z>x)|f))
(f>~(~((q|z))))
1
1
0
0
entailment
((b&~(f))|b)
(h|b)
1
1
0
0
entailment
((~(h)&~(~(z)))&((z>x)|f))
(h|b)
0
1
0
0
not entailment
((b&~(f))|b)
(f>~(~((q|z))))
0
0
0
0
not entailment
(f&x)
~(~((z|((b|g)>f))))
1
0
0
0
entailment
(((h>f)|q)&~((((f|h)|(g|(f&z)))>h)))
(h>q)
1
1
1
1
entailment
(f&x)
(h>q)
0
1
0
0
not entailment
(((h>f)|q)&~((((f|h)|(g|(f&z)))>h)))
~(~((z|((b|g)>f))))
0
1
0
0
not entailment
((z&z)&j)
(((h>z)|q)>~(~((f>(z|j)))))
1
0
0
0
entailment
~((g|(h>j)))
~((j&(~((f&(~(x)|(f|j))))>f)))
1
0
0
0
entailment
((z&z)&j)
~((j&(~((f&(~(x)|(f|j))))>f)))
0
0
0
0
not entailment
~((g|(h>j)))
(((h>z)|q)>~(~((f>(z|j)))))
0
0
0
0
not entailment
((((z>h)>f)&g)&q)
((((h>q)&f)>(h>(j>h)))>g)
1
0
0
0
entailment
~((~(x)>~(z)))
(((h&(j|h))>b)|~((h>(x&z))))
1
0
0
0
entailment
((((z>h)>f)&g)&q)
(((h&(j|h))>b)|~((h>(x&z))))
0
0
0
0
not entailment
~((~(x)>~(z)))
((((h>q)&f)>(h>(j>h)))>g)
0
0
0
0
not entailment
(((b|g)|b)&(((z|z)>~((z|g)))>f))
(((g|(f|(b&x)))|(q|z))|q)
1
1
0
0
entailment
~(~(((j&(h>g))&(j|j))))
(h>(b>g))
1
1
0
0
entailment
(((b|g)|b)&(((z|z)>~((z|g)))>f))
(h>(b>g))
0
1
0
0
not entailment
~(~(((j&(h>g))&(j|j))))
(((g|(f|(b&x)))|(q|z))|q)
0
1
0
0
not entailment
(q>h)
((h|q)>h)
1
0
1
0
entailment
(g&(z|((~(g)|j)|(q>j))))
((j&f)|g)
1
1
0
0
entailment
(q>h)
((j&f)|g)
0
0
0
0
not entailment
(g&(z|((~(g)|j)|(q>j))))
((h|q)>h)
0
1
0
0
not entailment
(b&h)
(b|(((q>z)|z)|g))
1
0
0
0
entailment
~((j>z))
(z>g)
1
1
0
0
entailment
(b&h)
(z>g)
0
1
0
0
not entailment
~((j>z))
(b|(((q>z)|z)|g))
0
0
0
0
not entailment
((x>h)&(j&(f&x)))
(z>f)
1
1
0
0
entailment
((x&z)&(x&q))
((q|z)|g)
1
1
0
0
entailment
((x>h)&(j&(f&x)))
((q|z)|g)
0
1
0
0
not entailment
((x&z)&(x&q))
(z>f)
0
1
0
0
not entailment
(~(((~(~(x))|x)|f))&~(~(h)))
(f>(q>~(g)))
1
1
0
0
entailment
((z&f)&j)
((z|g)>(x|j))
1
0
0
0
entailment
(~(((~(~(x))|x)|f))&~(~(h)))
((z|g)>(x|j))
0
1
0
0
not entailment
((z&f)&j)
(f>(q>~(g)))
0
0
0
0
not entailment
(~(~(~((u>p))))|((u>(p&s))&(u&o)))
(~(u)>(o|u))
1
1
1
1
entailment
(f&~((~(t)>((t|s)>p))))
(((t&u)>(f>(s&v)))|v)
1
1
0
0
entailment
(~(~(~((u>p))))|((u>(p&s))&(u&o)))
(((t&u)>(f>(s&v)))|v)
0
1
0
0
not entailment
(f&~((~(t)>((t|s)>p))))
(~(u)>(o|u))
0
1
0
0
not entailment
~((~(s)|(f|f)))
~(((s|s)&~(((o&(s>t))|~((f&f))))))
1
0
0
0
entailment
(((t>t)>~(~(~(u))))|~((t|(f>(f>p)))))
(((s&v)>t)|(u>f))
1
1
0
0
entailment
~((~(s)|(f|f)))
(((s&v)>t)|(u>f))
0
1
0
0
not entailment
(((t>t)>~(~(~(u))))|~((t|(f>(f>p)))))
~(((s|s)&~(((o&(s>t))|~((f&f))))))
0
1
0
0
not entailment
((s|~(o))&s)
(((p|p)|((f&o)|~(s)))>(((s&s)>s)&s))
1
0
0
0
entailment
((s|f)&v)
((p&~((v&p)))>~((((o|u)>o)|((u>p)>f))))
1
0
0
0
entailment
((s|~(o))&s)
((p&~((v&p)))>~((((o|u)>o)|((u>p)>f))))
0
0
0
0
not entailment
((s|f)&v)
(((p|p)|((f&o)|~(s)))>(((s&s)>s)&s))
0
0
0
0
not entailment
((((~(~(t))>t)|t)&s)&(u&f))
((s|t)|(~(((~(~(o))|(o&v))|(p>t)))>v))
1
0
0
0
entailment
(~(u)|((p|t)&p))
(u>((t&t)>((t|~(t))&p)))
1
0
1
0
entailment
((((~(~(t))>t)|t)&s)&(u&f))
(u>((t&t)>((t|~(t))&p)))
0
1
0
0
not entailment
(~(u)|((p|t)&p))
((s|t)|(~(((~(~(o))|(o&v))|(p>t)))>v))
0
0
0
0
not entailment
~(~(~(((t|p)>v))))
~(((~(~((u|o)))>u)&v))
1
0
0
0
entailment
((v|f)&~(((~(s)>(f&s))>(v>f))))
(o>((u|~((s>(f>(~(t)|p)))))>v))
1
1
0
0
entailment
~(~(~(((t|p)>v))))
(o>((u|~((s>(f>(~(t)|p)))))>v))
0
0
0
0
not entailment
((v|f)&~(((~(s)>(f&s))>(v>f))))
~(((~(~((u|o)))>u)&v))
0
1
0
0
not entailment
~(~(~(o)))
(o>(v>p))
1
1
0
0
entailment
~((f>u))
(~((((f>o)>(o|(p|f)))&p))>(f&~((p&v))))
1
0
0
0
entailment
~(~(~(o)))
(~((((f>o)>(o|(p|f)))&p))>(f&~((p&v))))
0
0
0
0
not entailment
~((f>u))
(o>(v>p))
0
1
0
0
not entailment
~(~(t))
~(~((o>((v>u)>((u>v)|(p|t))))))
1
0
0
0
entailment
((u|f)&s)
(~((((u>p)&o)>v))>s)
1
0
0
0
entailment
~(~(t))
(~((((u>p)&o)>v))>s)
0
0
0
0
not entailment
((u|f)&s)
~(~((o>((v>u)>((u>v)|(p|t))))))
0
0
0
0
not entailment
~((v>(u|~((v>p)))))
~(~(~((u&u))))
1
1
1
1
entailment
(f&((f&(s|o))&(t&~(s))))
((v|o)>f)
1
1
0
0
entailment
~((v>(u|~((v>p)))))
((v|o)>f)
0
1
0
0
not entailment
(f&((f&(s|o))&(t&~(s))))
~(~(~((u&u))))
0
1
0
0
not entailment
~(~((f&~(u))))
((((~(o)&o)&(f>f))|t)|((s>u)|(v|f)))
1
0
0
0
entailment
~((s>(u&t)))
((o&(o|~(t)))>((s|~(o))|v))
1
0
0
0
entailment
~(~((f&~(u))))
((o&(o|~(t)))>((s|~(o))|v))
0
0
0
0
not entailment
~((s>(u&t)))
((((~(o)&o)&(f>f))|t)|((s>u)|(v|f)))
0
0
0
0
not entailment
((~((f>v))>p)>(s&~(s)))
(s>(~((f&(t&p)))>(p>t)))
1
1
0
0
entailment
~((~((o|(v|f)))>~(~((p>u)))))
~(u)
1
1
1
1
entailment
((~((f>v))>p)>(s&~(s)))
~(u)
0
1
0
0
not entailment
~((~((o|(v|f)))>~(~((p>u)))))
(s>(~((f&(t&p)))>(p>t)))
0
1
0
0
not entailment
~((((~((v|o))>(o|f))|(u>o))&~(p)))
(((v>s)|(v&p))|s)
1
1
0
0
entailment
((((v>o)&((u>v)|o))&((v|u)>v))&u)
((~(p)|~(~(~(t))))>((f|u)|u))
1
1
0
0
entailment
~((((~((v|o))>(o|f))|(u>o))&~(p)))
((~(p)|~(~(~(t))))>((f|u)|u))
0
1
0
0
not entailment
((((v>o)&((u>v)|o))&((v|u)>v))&u)
(((v>s)|(v&p))|s)
0
1
0
0
not entailment
~(~((~(u)|p)))
(((~((p&f))>(p&o))&f)|((f&u)>(f&t)))
1
0
0
0
entailment
(((s>v)|((p|o)&u))>~((o>(o>o))))
~(v)
1
1
1
1
entailment