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
(m|(n&m))
((((w>i)|(v>z))&z)|(v&((i>p)&(p>n))))
0
0
0
0
not entailment
(p&((v>v)>((z&((~(p)>w)>n))&(w|(n>n)))))
(m|p)
1
1
0
0
entailment
~((z|(((f&i)|(v&(m&(h>w))))&(p|w))))
~(~((((v&v)>i)>~(z))))
1
1
1
0
entailment
(p&((v>v)>((z&((~(p)>w)>n))&(w|(n>n)))))
~(~((((v&v)>i)>~(z))))
0
1
0
0
not entailment
~((z|(((f&i)|(v&(m&(h>w))))&(p|w))))
(m|p)
0
1
1
0
not entailment
~(((((w|m)>f)>~(f))>(m|~((h|h)))))
((w|i)>(((p&v)>p)>h))
1
1
0
0
entailment
(((l|n)&m)&l)
(((l>(m|m))|(~(v)&m))|~((~(n)>l)))
1
0
0
0
entailment
~(((((w|m)>f)>~(f))>(m|~((h|h)))))
(((l>(m|m))|(~(v)&m))|~((~(n)>l)))
0
1
0
0
not entailment
(((l|n)&m)&l)
((w|i)>(((p&v)>p)>h))
0
0
0
0
not entailment
~(~((m&((~(i)|~(w))|i))))
(~(f)|((m&f)|~(((((i&v)|p)&(z&n))&l))))
1
0
0
0
entailment
((w|z)&~((~((n>~((n>i))))>(i&w))))
((~(z)>(f|z))&(~(~((l&m)))>n))
1
1
0
0
entailment
~(~((m&((~(i)|~(w))|i))))
((~(z)>(f|z))&(~(~((l&m)))>n))
0
0
0
0
not entailment
((w|z)&~((~((n>~((n>i))))>(i&w))))
(~(f)|((m&f)|~(((((i&v)|p)&(z&n))&l))))
0
0
0
0
not entailment
((~(p)>g)&(r&~(b)))
((b>~(b))&~((b&d)))
1
1
0
0
entailment
~((r>g))
(~((s|(~(g)|p)))>(s&~(p)))
1
0
0
0
entailment
((~(p)>g)&(r&~(b)))
(~((s|(~(g)|p)))>(s&~(p)))
0
0
0
0
not entailment
~((r>g))
((b>~(b))&~((b&d)))
0
0
0
0
not entailment
((~(r)|(~(~(b))&((l&h)>(f|(b|l)))))&s)
(b|s)
1
1
1
1
entailment
(~((h|((b&d)|~(((g&p)&l)))))&(l>~(r)))
~((g>h))
1
1
1
1
entailment
((~(r)|(~(~(b))&((l&h)>(f|(b|l)))))&s)
~((g>h))
0
1
0
0
not entailment
(~((h|((b&d)|~(((g&p)&l)))))&(l>~(r)))
(b|s)
0
1
0
0
not entailment
~(~((~(((f&g)&s))>~(((f&p)|(b|b))))))
(((s>b)&f)>(b>s))
1
1
1
1
entailment
(((~(s)&h)&(b|g))&~(o))
(s|((h|o)|g))
1
1
1
0
entailment
~(~((~(((f&g)&s))>~(((f&p)|(b|b))))))
(s|((h|o)|g))
0
1
0
0
not entailment
(((~(s)&h)&(b|g))&~(o))
(((s>b)&f)>(b>s))
0
1
0
0
not entailment
(g|g)
((g|(f&f))|~((((o&s)&b)|d)))
1
0
0
0
entailment
((s&(l|l))&(o|p))
((f|(h>r))|((((l|g)|f)>(p>(b>p)))&(s&s)))
1
0
0
0
entailment
(g|g)
((f|(h>r))|((((l|g)|f)>(p>(b>p)))&(s&s)))
0
0
0
0
not entailment
((s&(l|l))&(o|p))
((g|(f&f))|~((((o&s)&b)|d)))
0
0
0
0
not entailment
(l&(o&(g|(d&o))))
(l|g)
1
1
1
1
entailment
(~((((p&r)&~(~(p)))>~(d)))&f)
(~((~((s&(r&p)))&b))|((o|b)>~((d&s))))
1
0
0
0
entailment
(l&(o&(g|(d&o))))
(~((~((s&(r&p)))&b))|((o|b)>~((d&s))))
0
0
0
0
not entailment
(~((((p&r)&~(~(p)))>~(d)))&f)
(l|g)
0
1
0
0
not entailment
(~(~(((g&b)|f)))&((g>p)&g))
(l|((h>p)>g))
1
1
0
0
entailment
((((((h&s)&f)>p)|p)>h)&~(f))
(~(h)>d)
1
1
0
0
entailment
(~(~(((g&b)|f)))&((g>p)&g))
(~(h)>d)
0
1
0
0
not entailment
((((((h&s)&f)>p)|p)>h)&~(f))
(l|((h>p)>g))
0
1
0
0
not entailment
((d&f)&o)
((r&(~(f)&h))|d)
1
0
0
0
entailment
(g&((f|r)|(((l|~(p))&(~(o)>(h>p)))|o)))
(h|g)
1
1
1
0
entailment
((d&f)&o)
(h|g)
0
1
0
0
not entailment
(g&((f|r)|(((l|~(p))&(~(o)>(h>p)))|o)))
((r&(~(f)&h))|d)
0
1
0
0
not entailment
((d&b)&((r&(b&(f|g)))|((o|h)>p)))
((d&(d>g))|(o>b))
1
1
1
0
entailment
(f&f)
(p>f)
1
1
0
0
entailment
((d&b)&((r&(b&(f|g)))|((o|h)>p)))
(p>f)
0
1
1
0
not entailment
(f&f)
((d&(d>g))|(o>b))
0
0
0
0
not entailment
((h>~((d>p)))&(((l&b)&h)&(s|p)))
((b|g)>~(~(d)))
1
1
0
0
entailment
((~((~(o)&h))&(l&g))&~(((l|o)>r)))
(r>o)
1
1
1
1
entailment
((h>~((d>p)))&(((l&b)&h)&(s|p)))
(r>o)
0
1
0
0
not entailment
((~((~(o)&h))&(l&g))&~(((l|o)>r)))
((b|g)>~(~(d)))
0
1
0
0
not entailment
((((b>h)|p)>f)&(d>(g>l)))
((((p&~(l))>f)|d)|h)
1
1
1
0
entailment
(b&~(~((~(g)|d))))
(b|b)
1
1
1
1
entailment
((((b>h)|p)>f)&(d>(g>l)))
(b|b)
0
1
1
1
not entailment
(b&~(~((~(g)|d))))
((((p&~(l))>f)|d)|h)
0
1
0
0
not entailment
~(((s&l)>(((s&l)|r)>r)))
(~(((((r>o)|b)|~(r))|~(p)))>d)
1
0
0
0
entailment
~(l)
~(~((~(l)|p)))
1
0
0
0
entailment
~(((s&l)>(((s&l)|r)>r)))
~(~((~(l)|p)))
0
1
0
0
not entailment
~(l)
(~(((((r>o)|b)|~(r))|~(p)))>d)
0
0
0
0
not entailment
((h&b)&(b>(s&(l&h))))
(((((((s&(h>s))&o)>g)|b)>(f|(o&b)))>h)|p)
1
0
0
0
entailment
(((b&g)&(f>g))&((o&g)|(s|d)))
(g|(r>(o&r)))
1
1
0
0
entailment
((h&b)&(b>(s&(l&h))))
(g|(r>(o&r)))
0
1
0
0
not entailment
(((b&g)&(f>g))&((o&g)|(s|d)))
(((((((s&(h>s))&o)>g)|b)>(f|(o&b)))>h)|p)
0
0
0
0
not entailment
(((l>~((g|((r>(h|f))&(f|r)))))>~(g))&s)
((r&((p>f)>~(s)))>((g|p)|h))
1
1
0
0
entailment
((((r>f)|(o|~((l>b))))&l)&(o&f))
((l|(l&l))|l)
1
1
1
1
entailment
(((l>~((g|((r>(h|f))&(f|r)))))>~(g))&s)
((l|(l&l))|l)
0
1
1
1
not entailment
((((r>f)|(o|~((l>b))))&l)&(o&f))
((r&((p>f)>~(s)))>((g|p)|h))
0
1
0
0
not entailment
(d&(f&p))
((((l|d)|(g>(h>h)))>d)>f)
1
0
0
0
entailment
((s>((~(p)|(o>s))>o))&g)
(((p&l)&f)>g)
1
1
0
0
entailment
(d&(f&p))
(((p&l)&f)>g)
0
0
0
0
not entailment
((s>((~(p)|(o>s))>o))&g)
((((l|d)|(g>(h>h)))>d)>f)
0
1
0
0
not entailment
((h|o)&((d>d)>(((l&r)&l)&g)))
(~((l&~((p|(g|s)))))|p)
1
1
0
0
entailment
(~(h)&~((l>((o|r)|h))))
~((g&(r&s)))
1
1
0
0
entailment
((h|o)&((d>d)>(((l&r)&l)&g)))
~((g&(r&s)))
0
1
0
0
not entailment
(~(h)&~((l>((o|r)|h))))
(~((l&~((p|(g|s)))))|p)
0
1
0
0
not entailment
(((r&f)&(l|r))&~((s&d)))
((h>~(r))|(~((f&(d|f)))>~(~((g|d)))))
1
0
0
0
entailment
~((o>b))
((s>~(((b&s)&l)))|~((((s&p)>r)|g)))
1
0
0
0
entailment
(((r&f)&(l|r))&~((s&d)))
((s>~(((b&s)&l)))|~((((s&p)>r)|g)))
0
0
0
0
not entailment
~((o>b))
((h>~(r))|(~((f&(d|f)))>~(~((g|d)))))
0
0
0
0
not entailment
(~((m|((s&((s&k)&s))>g)))&s)
~(((g&s)&((m>k)|s)))
1
1
1
0
entailment
~((g>(((m>v)|(k>~((~(k)>g))))>(k&k))))
((~((~((k&~((s|k))))>s))&s)|~(k))
1
1
0
0
entailment
(~((m|((s&((s&k)&s))>g)))&s)
((~((~((k&~((s|k))))>s))&s)|~(k))
0
0
1
0
not entailment
~((g>(((m>v)|(k>~((~(k)>g))))>(k&k))))
~(((g&s)&((m>k)|s)))
0
1
0
0
not entailment
(s&((((s>k)&(k>(k|(g>m))))&k)&((s|k)>m)))
(((v|s)&(k>k))|(v&s))
1
1
0
0
entailment
~((v|k))
(~(k)|(~((~(k)&m))>(k>g)))
1
0
0
0
entailment
(s&((((s>k)&(k>(k|(g>m))))&k)&((s|k)>m)))
(~(k)|(~((~(k)&m))>(k>g)))
0
1
1
0
not entailment
~((v|k))
(((v|s)&(k>k))|(v&s))
0
0
0
0
not entailment
~(((s|(~((s>k))>m))&~((m&(k&(g&s))))))
(((m>m)>~(v))>s)
1
1
0
0
entailment
~((~(~(~(~(m))))|(g|g)))
(~(~(~(~(g))))>~(s))
1
1
0
0
entailment
~(((s|(~((s>k))>m))&~((m&(k&(g&s))))))
(~(~(~(~(g))))>~(s))
0
1
1
0
not entailment
~((~(~(~(~(m))))|(g|g)))
(((m>m)>~(v))>s)
0
1
0
0
not entailment
~((~((s|g))|((v&m)|k)))
((g|(~(~(m))|((k&(s>k))>g)))|v)
1
0
1
0
entailment
(((g|(g|(g&s)))>(~(m)&s))&(~(m)&(m>v)))
(g>((v|(s&~(~(~(v)))))|~(~(s))))
1
1
1
0
entailment
~((~((s|g))|((v&m)|k)))
(g>((v|(s&~(~(~(v)))))|~(~(s))))
0
0
1
0
not entailment
(((g|(g|(g&s)))>(~(m)&s))&(~(m)&(m>v)))
((g|(~(~(m))|((k&(s>k))>g)))|v)
0
1
0
0
not entailment
(s&(v&(((v|m)|((k|v)&v))&m)))
((s|((k&(k|v))|(m&~(m))))&s)
1
1
1
0
entailment
~((m|(s|k)))
~(((g|v)&(s&v)))
1
0
0
0
entailment
(s&(v&(((v|m)|((k|v)&v))&m)))
~(((g|v)&(s&v)))
0
1
0
0
not entailment
~((m|(s|k)))
((s|((k&(k|v))|(m&~(m))))&s)
0
0
0
0
not entailment
~((v&(s>((g&s)|v))))
((s>v)>((((g&g)&(g>v))&s)>~((s|v))))
1
0
1
0
entailment
((((v|(s>m))&(s|m))&g)&k)
((k&(g|g))|m)
1
1
1
1
entailment
~((v&(s>((g&s)|v))))
((k&(g|g))|m)
0
1
0
0
not entailment