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
(~(d)&(s&((l>~(b))&~((b|g)))))
~((b&((f&(l&s))&(w>l))))
1
1
0
0
entailment
((b&(((w&w)|(s&f))|w))&(w>g))
~((b&((f&(l&s))&(w>l))))
0
1
0
0
not entailment
(~(d)&(s&((l>~(b))&~((b|g)))))
(l>(g|f))
0
1
0
0
not entailment
((f&~(g))&b)
(~(~(f))|~((g&w)))
1
0
0
0
entailment
((g>(d|(w&~((b&f)))))&((w&l)&s))
~(~(l))
1
1
1
1
entailment
((f&~(g))&b)
~(~(l))
0
1
0
0
not entailment
((g>(d|(w&~((b&f)))))&((w&l)&s))
(~(~(f))|~((g&w)))
0
1
1
0
not entailment
~((((x|n)|~(~((~((w>d))|~(w)))))|v))
(x|(d|f))
1
1
0
0
entailment
(((h>d)|(w&n))>f)
((x&w)|(h|f))
1
1
0
0
entailment
~((((x|n)|~(~((~((w>d))|~(w)))))|v))
((x&w)|(h|f))
0
1
0
0
not entailment
(((h>d)|(w&n))>f)
(x|(d|f))
0
1
0
0
not entailment
~((~((~(n)|(~(v)&(h&h))))|h))
~((n&(h>(n|~(~(((v&v)&n)))))))
1
1
1
1
entailment
((d>d)>~((v>(x|f))))
(v|((v>f)&((p|~(v))&(v&f))))
1
0
0
0
entailment
~((~((~(n)|(~(v)&(h&h))))|h))
(v|((v>f)&((p|~(v))&(v&f))))
0
1
0
0
not entailment
((d>d)>~((v>(x|f))))
~((n&(h>(n|~(~(((v&v)&n)))))))
0
0
0
0
not entailment
((d|d)&(x&h))
((n&(w|(v|f)))>x)
1
0
0
0
entailment
~(((~(x)>w)>v))
~(((x&((p|d)&v))&~((w|p))))
1
0
0
0
entailment
((d|d)&(x&h))
~(((x&((p|d)&v))&~((w|p))))
0
0
0
0
not entailment
~(((~(x)>w)>v))
((n&(w|(v|f)))>x)
0
1
0
0
not entailment
~((((x&(d|x))&v)|(~(x)|f)))
((x&f)|(p>(h|(v>x))))
1
1
0
0
entailment
~(~(p))
(((~(x)|(h&f))|((f&v)&w))|(~(p)>w))
1
0
0
0
entailment
~((((x&(d|x))&v)|(~(x)|f)))
(((~(x)|(h&f))|((f&v)&w))|(~(p)>w))
0
0
0
0
not entailment
~(~(p))
((x&f)|(p>(h|(v>x))))
0
0
0
0
not entailment
(d|d)
((w|p)>(~((v|p))>((d|h)|(d&(f>p)))))
1
0
0
0
entailment
(((f&p)>v)&((d>n)&~(((w&w)>n))))
(h|~(n))
1
1
0
0
entailment
(d|d)
(h|~(n))
0
0
0
0
not entailment
(((f&p)>v)&((d>n)&~(((w&w)>n))))
((w|p)>(~((v|p))>((d|h)|(d&(f>p)))))
0
0
0
0
not entailment
(~((p&n))>((~(p)>p)&(x>d)))
((p|x)|x)
1
1
1
0
entailment
(p>d)
((p>(p&d))|f)
1
0
0
0
entailment
(~((p&n))>((~(p)>p)&(x>d)))
((p>(p&d))|f)
0
1
0
0
not entailment
(p>d)
((p|x)|x)
0
0
0
0
not entailment
(p&(~(h)&(~((x&d))|v)))
((w|p)|((p&p)|~(~((((p>d)|~(p))>p)))))
1
0
0
0
entailment
(((f>x)>v)&(~(~((v&f)))|(v&((h>w)&p))))
((((w&w)>(n|(v&x)))|d)>((~((p>w))|v)&v))
1
1
0
0
entailment
(p&(~(h)&(~((x&d))|v)))
((((w&w)>(n|(v&x)))|d)>((~((p>w))|v)&v))
0
0
0
0
not entailment
(((f>x)>v)&(~(~((v&f)))|(v&((h>w)&p))))
((w|p)|((p&p)|~(~((((p>d)|~(p))>p)))))
0
1
0
0
not entailment
~(((p>n)|(((n>~(p))|p)>(p>(x|h)))))
~(~((~((n>d))>~(~((f&p))))))
1
1
0
0
entailment
(~((h&n))&x)
((w&d)>(x|n))
1
1
0
0
entailment
~(((p>n)|(((n>~(p))|p)>(p>(x|h)))))
((w&d)>(x|n))
0
1
0
0
not entailment
(~((h&n))&x)
~(~((~((n>d))>~(~((f&p))))))
0
0
0
0
not entailment
((x|x)|p)
((w>(x&h))>(p|x))
1
0
0
0
entailment
~((~(x)>(~((~(d)>w))>v)))
(x>w)
1
1
1
0
entailment
((x|x)|p)
(x>w)
0
1
0
0
not entailment
~((~(x)>(~((~(d)>w))>v)))
((w>(x&h))>(p|x))
0
1
0
0
not entailment
((n&(w&f))&x)
((((f|~(~(~(w))))&h)|f)>f)
1
0
0
0
entailment
((w|(v>h))&~((p>w)))
~((w&((n&x)|v)))
1
1
0
0
entailment
((n&(w&f))&x)
~((w&((n&x)|v)))
0
0
0
0
not entailment
((w|(v>h))&~((p>w)))
((((f|~(~(~(w))))&h)|f)>f)
0
0
0
0
not entailment
(((f>f)|~(w))&(p&w))
((w|(f>x))&(n>p))
1
1
0
0
entailment
(h&(x|f))
((n|n)|h)
1
1
0
0
entailment
(((f>f)|~(w))&(p&w))
((n|n)|h)
0
1
0
0
not entailment
(h&(x|f))
((w|(f>x))&(n>p))
0
0
0
0
not entailment
(h&(w|(f&v)))
((h>(h>p))|(((v|w)|f)|~(n)))
1
0
0
0
entailment
((~((n>(f>n)))|(d>~((x&x))))&x)
(x|(~(((v>(d&n))&~((p|w))))>(v&n)))
1
0
0
0
entailment
(h&(w|(f&v)))
(x|(~(((v>(d&n))&~((p|w))))>(v&n)))
0
0
0
0
not entailment
((~((n>(f>n)))|(d>~((x&x))))&x)
((h>(h>p))|(((v|w)|f)|~(n)))
0
1
0
0
not entailment
~((~((p&p))|d))
(~((~(v)|(d>~(h))))>(f|~(h)))
1
0
0
0
entailment
(v&~((f&~(h))))
((v&v)|(x|~(((p>f)|((d|w)|n)))))
1
0
0
0
entailment
~((~((p&p))|d))
((v&v)|(x|~(((p>f)|((d|w)|n)))))
0
0
0
0
not entailment
(v&~((f&~(h))))
(~((~(v)|(d>~(h))))>(f|~(h)))
0
0
0
0
not entailment
(((v>p)&(f|(f|d)))&f)
(((f|~((n>p)))&(w>p))|w)
1
0
0
0
entailment
(v&((n|n)>n))
(v|(((f>p)>(v|v))|~((f>(x|h)))))
1
0
0
0
entailment
(((v>p)&(f|(f|d)))&f)
(v|(((f>p)>(v|v))|~((f>(x|h)))))
0
0
0
0
not entailment
(v&((n|n)>n))
(((f|~((n>p)))&(w>p))|w)
0
0
0
0
not entailment
((~(i)>((f|l)|o))>~(f))
((f>(l>g))|w)
1
1
0
0
entailment
(~(((~(((j|f)>(i>i)))&o)>l))|f)
(~((~(f)>(g&~(j))))>((f>g)>w))
1
1
0
0
entailment
((~(i)>((f|l)|o))>~(f))
(~((~(f)>(g&~(j))))>((f>g)>w))
0
0
0
0
not entailment
(~(((~(((j|f)>(i>i)))&o)>l))|f)
((f>(l>g))|w)
0
1
0
0
not entailment
(~((o|((~(i)>o)|(l|(w&g)))))|~(i))
(i>g)
1
1
1
0
entailment
((j|~(((w|f)>g)))&(j&(~(l)&i)))
((o>((i|l)&(o>o)))|((w>f)&~((w&o))))
1
0
0
0
entailment
(~((o|((~(i)>o)|(l|(w&g)))))|~(i))
((o>((i|l)&(o>o)))|((w>f)&~((w&o))))
0
1
0
0
not entailment
((j|~(((w|f)>g)))&(j&(~(l)&i)))
(i>g)
0
1
1
0
not entailment
(~((w|i))&~(((f|g)>l)))
(~(~((o|g)))|f)
1
1
0
0
entailment
~(g)
(~(f)>(g>i))
1
0
0
0
entailment
(~((w|i))&~(((f|g)>l)))
(~(f)>(g>i))
0
1
1
0
not entailment
~(g)
(~(~((o|g)))|f)
0
0
0
0
not entailment
(l&((o>l)&i))
(i>(~(((l|g)|~((i>i))))>f))
1
0
0
0
entailment
((o>l)>~((((l&f)|(w&(g|w)))>((o>f)&l))))
((~(l)|(~(f)>((f|g)>(f|w))))&((l&f)>o))
1
1
1
0
entailment
(l&((o>l)&i))
((~(l)|(~(f)>((f|g)>(f|w))))&((l&f)>o))
0
0
0
0
not entailment
((o>l)>~((((l&f)|(w&(g|w)))>((o>f)&l))))
(i>(~(((l|g)|~((i>i))))>f))
0
1
0
0
not entailment
(f&(w>(l&i)))
(~(~((f|(w|o))))|(~((w|f))&(i|l)))
1
0
0
0
entailment
(g&~(~((~(i)&~((f&g))))))
((((j|f)&~(((i&w)|i)))>l)|j)
1
1
0
0
entailment
(f&(w>(l&i)))
((((j|f)&~(((i&w)|i)))>l)|j)
0
0
0
0
not entailment
(g&~(~((~(i)&~((f&g))))))
(~(~((f|(w|o))))|(~((w|f))&(i|l)))
0
0
0
0
not entailment
((i&g)&o)
~(~((((~((f>f))>l)|f)>i)))
1
0
0
0
entailment
(((l>o)>((l&~(w))&f))&((~(o)|j)&(o&o)))
((g|~((i&w)))&j)
1
1
0
0
entailment
((i&g)&o)
((g|~((i&w)))&j)
0
0
0
0
not entailment
(((l>o)>((l&~(w))&f))&((~(o)|j)&(o&o)))
~(~((((~((f>f))>l)|f)>i)))
0
1
0
0
not entailment
((~(g)&(w|j))&~(((i>l)>j)))
(~((g|i))>w)
1
1
1
0
entailment
(~(f)>~(~(~(((f|f)>(w&l))))))
(w>f)
1
1
1
1
entailment
((~(g)&(w|j))&~(((i>l)>j)))
(w>f)
0
1
0
0
not entailment
(~(f)>~(~(~(((f|f)>(w&l))))))
(~((g|i))>w)
0
1
0
0
not entailment
((g&(w&w))&(i|f))
(((f>g)>(l&(g|(w&g))))>((f|o)>g))
1
0
0
0
entailment
((o|g)&(o&(g>l)))
(g>(i>l))
1
1
0
0
entailment
((g&(w&w))&(i|f))
(g>(i>l))
0
1
0
0
not entailment
((o|g)&(o&(g>l)))
(((f>g)>(l&(g|(w&g))))>((f|o)>g))
0
0
0
0
not entailment
(l&w)
(((l|~(~(f)))|(o|i))|(i&(((j|j)&i)&o)))
1
0
0
0
entailment
~((w|j))
((f|~(~(((i&j)&i))))>f)
1
0
0
0
entailment
(l&w)
((f|~(~(((i&j)&i))))>f)
0
0
0
0
not entailment
~((w|j))
(((l|~(~(f)))|(o|i))|(i&(((j|j)&i)&o)))
0
0
0
0
not entailment
((w>(w&((w>w)&~(f))))>((w>f)&o))
(~(((w&~(f))&(g|g)))|l)
1
1
0
0
entailment