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 |
|---|---|---|---|---|---|---|
(s|(t>o))
|
((t&o)>((o&(t>s))>b))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((s>(b|((~((t&g))>g)&~(s)))))>~(t))
|
(((t>b)&(b&b))|((t>s)|o))
| 0 | 1 | 0 | 0 |
not entailment
|
((b&b)&b)
|
(b|((o|o)&(b&b)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&s)
|
((~((b>g))&o)|(s&(b|s)))
| 1 | 0 | 0 | 0 |
entailment
|
((b&b)&b)
|
((~((b>g))&o)|(s&(b|s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&s)
|
(b|((o|o)&(b&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((o>s)&(o>(g&(b|t))))
|
((~((o>b))&(t>t))>~(~(s)))
| 1 | 0 | 1 | 0 |
entailment
|
(g&((((g|g)>t)|s)|(s>g)))
|
(~((~(b)|s))>((g|g)|s))
| 1 | 1 | 0 | 0 |
entailment
|
((o>s)&(o>(g&(b|t))))
|
(~((~(b)|s))>((g|g)|s))
| 0 | 0 | 1 | 0 |
not entailment
|
(g&((((g|g)>t)|s)|(s>g)))
|
((~((o>b))&(t>t))>~(~(s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((~(~(b))>t))&b)>s))
|
((t>s)&((b>g)>~((s&b))))
| 1 | 1 | 0 | 0 |
entailment
|
(s&~(~(b)))
|
(~((~(b)|~(o)))>(s&o))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((~(~(b))>t))&b)>s))
|
(~((~(b)|~(o)))>(s&o))
| 0 | 1 | 0 | 0 |
not entailment
|
(s&~(~(b)))
|
((t>s)&((b>g)>~((s&b))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s&((g&o)&(b&(~(o)&o))))|(g>b)))
|
(~(t)|(o>(t&g)))
| 1 | 1 | 0 | 0 |
entailment
|
(t&o)
|
(((~(s)|~((~(s)>t)))>t)|~(g))
| 1 | 0 | 0 | 0 |
entailment
|
~(((s&((g&o)&(b&(~(o)&o))))|(g>b)))
|
(((~(s)|~((~(s)>t)))>t)|~(g))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&o)
|
(~(t)|(o>(t&g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&(o>~(o)))
|
(~((~(((s>g)>(b|o)))|g))|g)
| 1 | 0 | 0 | 0 |
entailment
|
((b|((b|(((s>t)|b)>s))&(b>(g&b))))>t)
|
(~(((t&b)|o))>((b&(t>b))>(o|g)))
| 1 | 1 | 0 | 0 |
entailment
|
(s&(o>~(o)))
|
(~(((t&b)|o))>((b&(t>b))>(o|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|((b|(((s>t)|b)>s))&(b>(g&b))))>t)
|
(~((~(((s>g)>(b|o)))|g))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&((~((g|(s|g)))>b)|s))
|
~((g&~(b)))
| 1 | 1 | 1 | 0 |
entailment
|
~((g>s))
|
((t|~((b|t)))|g)
| 1 | 0 | 0 | 0 |
entailment
|
(b&((~((g|(s|g)))>b)|s))
|
((t|~((b|t)))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((g>s))
|
~((g&~(b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(o|~((((~(o)>s)&~(((g|s)>s)))>(o&b))))
|
(((g|o)|t)&o)
| 1 | 1 | 0 | 0 |
entailment
|
~((o|s))
|
(s>~((b|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(o|~((((~(o)>s)&~(((g|s)>s)))>(o&b))))
|
(s>~((b|t)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((o|s))
|
(((g|o)|t)&o)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(b)>b)&o)
|
(o|(s>b))
| 1 | 1 | 0 | 0 |
entailment
|
(g|~((o>(o|b))))
|
((t>s)>g)
| 1 | 1 | 0 | 0 |
entailment
|
((~(b)>b)&o)
|
((t>s)>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(g|~((o>(o|b))))
|
(o|(s>b))
| 0 | 1 | 0 | 0 |
not entailment
|
((b&g)&s)
|
(t>(((b>((g>b)>((t|g)|t)))&(g|g))|b))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g|~(((o&(((o&s)>t)|b))|o))))|o)
|
(o&(t|o))
| 1 | 1 | 1 | 1 |
entailment
|
((b&g)&s)
|
(o&(t|o))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((g|~(((o&(((o&s)>t)|b))|o))))|o)
|
(t>(((b>((g>b)>((t|g)|t)))&(g|g))|b))
| 0 | 1 | 1 | 0 |
not entailment
|
(b|t)
|
(~((g|t))>b)
| 1 | 0 | 0 | 0 |
entailment
|
~(t)
|
~(((t&(g|(t|s)))&(~((s|b))&(~(o)&g))))
| 1 | 0 | 0 | 0 |
entailment
|
(b|t)
|
~(((t&(g|(t|s)))&(~((s|b))&(~(o)&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(t)
|
(~((g|t))>b)
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(m>((m&((m|m)&(m|m)))|~(m))))
|
~(((m&(m>m))>~(((~(m)&m)|m))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((m|m)|m))
|
~((((m|m)|(((m>(m|m))&m)>m))>m))
| 1 | 0 | 1 | 0 |
entailment
|
(m&(m>((m&((m|m)&(m|m)))|~(m))))
|
~((((m|m)|(((m>(m|m))&m)>m))>m))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((m|m)|m))
|
~(((m&(m>m))>~(((~(m)&m)|m))))
| 0 | 0 | 1 | 0 |
not entailment
|
(m|((m>m)&m))
|
((m|~(m))&(m&m))
| 1 | 0 | 1 | 1 |
entailment
|
~(~(~((m&~(~((m&(m&m))))))))
|
~(((m&((m>m)|m))&(~(m)|m)))
| 1 | 1 | 1 | 0 |
entailment
|
(m|((m>m)&m))
|
~(((m&((m>m)|m))&(~(m)|m)))
| 0 | 0 | 1 | 1 |
not entailment
|
~(~(~((m&~(~((m&(m&m))))))))
|
((m|~(m))&(m&m))
| 0 | 1 | 1 | 0 |
not entailment
|
(m|m)
|
(((m>m)|((m>m)|(~(m)|(m>(m&m)))))&m)
| 1 | 0 | 1 | 0 |
entailment
|
(~(((m|(m>m))&m))|~(m))
|
~((((m|m)&m)&((m>((m&m)|m))|(m|m))))
| 1 | 0 | 1 | 1 |
entailment
|
(m|m)
|
~((((m|m)&m)&((m>((m&m)|m))|(m|m))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((m|(m>m))&m))|~(m))
|
(((m>m)|((m>m)|(~(m)|(m>(m&m)))))&m)
| 0 | 0 | 1 | 1 |
not entailment
|
(m&m)
|
~((~(m)&~((m|(~(m)&(m&m))))))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((((m|m)>(~(m)&m))|(m&~(m)))))
|
~((~(~(~(~(m))))&(~(m)>m)))
| 1 | 1 | 1 | 1 |
entailment
|
(m&m)
|
~((~(~(~(~(m))))&(~(m)>m)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((((m|m)>(~(m)&m))|(m&~(m)))))
|
~((~(m)&~((m|(~(m)&(m&m))))))
| 0 | 1 | 1 | 1 |
not entailment
|
((m|m)&~((m&~((m>m)))))
|
((m|(((m&m)|m)|m))|((m|m)|(m&(m&(m>m)))))
| 1 | 0 | 1 | 1 |
entailment
|
~((((m>(m|m))&m)&(m>(m&(m|m)))))
|
(m>~(m))
| 1 | 1 | 1 | 1 |
entailment
|
((m|m)&~((m&~((m>m)))))
|
(m>~(m))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((m>(m|m))&m)&(m>(m&(m|m)))))
|
((m|(((m&m)|m)|m))|((m|m)|(m&(m&(m>m)))))
| 0 | 0 | 1 | 1 |
not entailment
|
((m&((m|m)&m))&~(~((m&((m|m)|m)))))
|
(~((~(m)&(m&m)))>(m|m))
| 1 | 1 | 1 | 0 |
entailment
|
~((m&(m|m)))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
((m&((m|m)&m))&~(~((m&((m|m)|m)))))
|
~(m)
| 0 | 1 | 1 | 0 |
not entailment
|
~((m&(m|m)))
|
(~((~(m)&(m&m)))>(m|m))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(m)>(m|m)))
|
(~(((m|(m|m))&((m|m)|m)))|~(m))
| 1 | 0 | 1 | 1 |
entailment
|
(m|(m&(m|m)))
|
(((m|m)|((m>m)&(m&m)))|((m|m)&m))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(m)>(m|m)))
|
(((m|m)|((m>m)&(m&m)))|((m|m)&m))
| 0 | 0 | 1 | 0 |
not entailment
|
(m|(m&(m|m)))
|
(~(((m|(m|m))&((m|m)|m)))|~(m))
| 0 | 0 | 1 | 0 |
not entailment
|
~(m)
|
(~((~((~(m)|(m&m)))>~(m)))|~((m|m)))
| 1 | 0 | 1 | 0 |
entailment
|
(m|(m&m))
|
((m|m)|m)
| 1 | 1 | 1 | 1 |
entailment
|
~(m)
|
((m|m)|m)
| 0 | 0 | 1 | 0 |
not entailment
|
(m|(m&m))
|
(~((~((~(m)|(m&m)))>~(m)))|~((m|m)))
| 0 | 0 | 1 | 0 |
not entailment
|
(m&(m&(~(m)|m)))
|
(~((m|m))>(m&~((m&(((m|m)|(m|m))>m)))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((m>m)>m))
|
(~(m)|(m>~(((~((m|(m>m)))&(m&m))|m))))
| 1 | 0 | 1 | 1 |
entailment
|
(m&(m&(~(m)|m)))
|
(~(m)|(m>~(((~((m|(m>m)))&(m&m))|m))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((m>m)>m))
|
(~((m|m))>(m&~((m&(((m|m)|(m|m))>m)))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(~(y))
|
(y|k)
| 1 | 1 | 0 | 0 |
entailment
|
((v&o)>((((g>(o>l))&(v|e))&l)&((v|l)>v)))
|
~((((o|p)>(e>(l>l)))>(((o&g)&v)&~(l))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(y))
|
~((((o|p)>(e>(l>l)))>(((o&g)&v)&~(l))))
| 0 | 0 | 0 | 0 |
not entailment
|
((v&o)>((((g>(o>l))&(v|e))&l)&((v|l)>v)))
|
(y|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(o&(~(~(~(k)))&(o&e)))
|
~((((g&(l>o))|(g|(y|o)))>~(~(k))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((y&o)&(e|p))|~(y)))
|
(y|(y&((e|(p>k))|k)))
| 1 | 1 | 0 | 0 |
entailment
|
(o&(~(~(~(k)))&(o&e)))
|
(y|(y&((e|(p>k))|k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((y&o)&(e|p))|~(y)))
|
~((((g&(l>o))|(g|(y|o)))>~(~(k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((v|((((y&g)>v)|(p>g))&p))))&(y|e))
|
(~((((v|~(g))>g)&~((e&k))))|((k>v)|y))
| 1 | 1 | 0 | 0 |
entailment
|
(~((o|y))&(e>o))
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((v|((((y&g)>v)|(p>g))&p))))&(y|e))
|
~(y)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((o|y))&(e>o))
|
(~((((v|~(g))>g)&~((e&k))))|((k>v)|y))
| 0 | 0 | 0 | 0 |
not entailment
|
((o&~((p|((e|l)>g))))&(v|(g&e)))
|
(((e>o)|(g>o))|(g>~(~(((p&v)&(k>p))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((o|l))
|
~(((((g&(k>v))&y)>y)&l))
| 1 | 0 | 0 | 0 |
entailment
|
((o&~((p|((e|l)>g))))&(v|(g&e)))
|
~(((((g&(k>v))&y)>y)&l))
| 0 | 1 | 0 | 0 |
not entailment
|
~((o|l))
|
(((e>o)|(g>o))|(g>~(~(((p&v)&(k>p))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((l&k)&(e>l))|(~(g)&g))|(e>p))
|
(~(~(e))>(~(p)>(k&e)))
| 1 | 1 | 1 | 0 |
entailment
|
(y&v)
|
((((k&e)>((p&v)&~((e|k))))&(v&l))|(e|y))
| 1 | 0 | 0 | 0 |
entailment
|
((((l&k)&(e>l))|(~(g)&g))|(e>p))
|
((((k&e)>((p&v)&~((e|k))))&(v&l))|(e|y))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&v)
|
(~(~(e))>(~(p)>(k&e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((o|(y>o)))
|
(o>k)
| 1 | 1 | 0 | 0 |
entailment
|
(e&(o&(o>o)))
|
((((o|v)|p)&(y>y))|~((~(l)&g)))
| 1 | 0 | 0 | 0 |
entailment
|
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