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 |
---|---|---|---|---|---|---|
((g>m)&((z|~(m))&((g|g)&~((e&z)))))
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
((e&z)&m)
|
~(e)
| 0 | 1 | 1 | 0 |
not entailment
|
((g>m)&((z|~(m))&((g|g)&~((e&z)))))
|
((~(g)|c)|(m&e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((m>c)|c))
|
((g|(z>e))>((c>m)|(z&e)))
| 1 | 0 | 0 | 0 |
entailment
|
~((e>(g&e)))
|
(g>(g>(g>z)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((m>c)|c))
|
(g>(g>(g>z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>(g&e)))
|
((g|(z>e))>((c>m)|(z&e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((e&~(e)))>(z>(m>g))))
|
((e>~(g))|((c&~(c))&g))
| 1 | 1 | 0 | 0 |
entailment
|
~(((e>z)|m))
|
~((m|~(~(m))))
| 1 | 0 | 1 | 1 |
entailment
|
~((~((e&~(e)))>(z>(m>g))))
|
~((m|~(~(m))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((e>z)|m))
|
((e>~(g))|((c&~(c))&g))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(~(((m&c)>(e&g)))&(c>e)))
|
(((e|g)>m)>c)
| 1 | 1 | 1 | 0 |
entailment
|
(((e&z)&((m&(e>z))|(g&e)))&~((g&(m|m))))
|
((z&(z>e))&((g|m)&e))
| 1 | 1 | 1 | 0 |
entailment
|
(c&(~(((m&c)>(e&g)))&(c>e)))
|
((z&(z>e))&((g|m)&e))
| 0 | 1 | 0 | 0 |
not entailment
|
(((e&z)&((m&(e>z))|(g&e)))&~((g&(m|m))))
|
(((e|g)>m)>c)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((c>z)|~((~(m)>e))))
|
~(~(c))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~((m&(g|z)))>z)>c))
|
(~(~(g))|~((z>g)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((c>z)|~((~(m)>e))))
|
(~(~(g))|~((z>g)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((m&(g|z)))>z)>c))
|
~(~(c))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((c>(c|c))&(~(g)&(~(c)|m)))))
|
((c&g)|~(g))
| 1 | 1 | 1 | 0 |
entailment
|
~(e)
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((c>(c|c))&(~(g)&(~(c)|m)))))
|
~(e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(e)
|
((c&g)|~(g))
| 0 | 0 | 0 | 0 |
not entailment
|
((c>z)&(c&e))
|
(((~((z&(z&z)))>e)>~((z&g)))>(e>c))
| 1 | 0 | 0 | 0 |
entailment
|
~(((g&g)>((c|m)|((m>(c|e))&c))))
|
~((((m>g)&c)&((c>m)>((m|~(~(z)))|g))))
| 1 | 0 | 0 | 0 |
entailment
|
((c>z)&(c&e))
|
~((((m>g)&c)&((c>m)>((m|~(~(z)))|g))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g&g)>((c|m)|((m>(c|e))&c))))
|
(((~((z&(z&z)))>e)>~((z&g)))>(e>c))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(l)>h)&~(x))
|
(h|(~(l)>h))
| 1 | 1 | 1 | 1 |
entailment
|
(x&(p&p))
|
((~(l)&x)|(p&(p|x)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(l)>h)&~(x))
|
((~(l)&x)|(p&(p|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&(p&p))
|
(h|(~(l)>h))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(l)>(~(h)|g)))
|
(g>(x|h))
| 1 | 1 | 0 | 0 |
entailment
|
(f&(~(x)|g))
|
(f|((h&p)|~(((f>g)>(~((m&h))&(f>g))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(l)>(~(h)|g)))
|
(f|((h&p)|~(((f>g)>(~((m&h))&(f>g))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&(~(x)|g))
|
(g>(x|h))
| 0 | 1 | 0 | 0 |
not entailment
|
(((f&p)|(l|g))&~((m|p)))
|
~((g&((f|g)&m)))
| 1 | 1 | 1 | 0 |
entailment
|
(g&~(h))
|
~(~((~((l>((f|x)>m)))>(l&g))))
| 1 | 0 | 0 | 0 |
entailment
|
(((f&p)|(l|g))&~((m|p)))
|
~(~((~((l>((f|x)>m)))>(l&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&~(h))
|
~((g&((f|g)&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(((p&g)|h))|p)&(l|g))>(l>p)))
|
~(~((((h&f)|(x>l))&((l>((m>l)|g))>l))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((g>h)|l)>((f|l)|x)))
|
~(l)
| 1 | 1 | 1 | 1 |
entailment
|
~((((~(((p&g)|h))|p)&(l|g))>(l>p)))
|
~(l)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((g>h)|l)>((f|l)|x)))
|
~(~((((h&f)|(x>l))&((l>((m>l)|g))>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((p|h))>g)|(h|(m>g))))
|
~(~(((p&((g&(m&l))&l))>((f&m)&m))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((((f|l)|(g>f))>(g&m))&g)))
|
(f>(m&(x>g)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((p|h))>g)|(h|(m>g))))
|
(f>(m&(x>g)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((((f|l)|(g>f))>(g&m))&g)))
|
~(~(((p&((g&(m&l))&l))>((f&m)&m))))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&~((h>m)))&(~(l)>(h>g)))
|
(m|(l&h))
| 1 | 1 | 1 | 0 |
entailment
|
(f&(x>g))
|
((g|f)|~(x))
| 1 | 0 | 1 | 1 |
entailment
|
((l&~((h>m)))&(~(l)>(h>g)))
|
((g|f)|~(x))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(x>g))
|
(m|(l&h))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(h&(x|g)))
|
(~(m)|((h&x)|~((h>x))))
| 1 | 0 | 0 | 0 |
entailment
|
(x&(g&g))
|
(((f&(p&x))|x)&x)
| 1 | 0 | 0 | 0 |
entailment
|
(f&(h&(x|g)))
|
(((f&(p&x))|x)&x)
| 0 | 0 | 0 | 0 |
not entailment
|
(x&(g&g))
|
(~(m)|((h&x)|~((h>x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h&(p|((h|m)&g)))|(g&l))&~(h))
|
((h&p)|(l>(p>g)))
| 1 | 1 | 1 | 0 |
entailment
|
((f|(x|f))&f)
|
((~(f)&x)>f)
| 1 | 1 | 1 | 0 |
entailment
|
(((h&(p|((h|m)&g)))|(g&l))&~(h))
|
((~(f)&x)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((f|(x|f))&f)
|
((h&p)|(l>(p>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((x&h))&p)&((h&(~(p)|f))>~((m|h))))
|
~(~((((f|f)|((g|l)>l))>~(~(p)))))
| 1 | 1 | 0 | 0 |
entailment
|
(g&x)
|
((((h|f)>((l>m)|l))>((p>g)>~((g>x))))>x)
| 1 | 0 | 0 | 0 |
entailment
|
((~((x&h))&p)&((h&(~(p)|f))>~((m|h))))
|
((((h|f)>((l>m)|l))>((p>g)>~((g>x))))>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&x)
|
~(~((((f|f)|((g|l)>l))>~(~(p)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((m&p)))
|
((~(l)|x)>(((g>f)&g)|(~((l>f))|(m|g))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((((p|h)&(l|x))&~(~(p))))))
|
((((l|l)&p)>~(x))|(m>f))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((m&p)))
|
((((l|l)&p)>~(x))|(m>f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((((p|h)&(l|x))&~(~(p))))))
|
((~(l)|x)>(((g>f)&g)|(~((l>f))|(m|g))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~((g&l))|(((g|x)&p)>m)))))
|
(~(~(l))|x)
| 1 | 1 | 1 | 1 |
entailment
|
(((((l>f)|x)|(x|m))>h)&m)
|
((h&h)|(h|x))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((~((g&l))|(((g|x)&p)>m)))))
|
((h&h)|(h|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((l>f)|x)|(x|m))>h)&m)
|
(~(~(l))|x)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((x&g))|(x&m)))
|
(p|~(m))
| 1 | 1 | 0 | 0 |
entailment
|
(l&~(p))
|
~((h&(((g|l)&(g&p))&(m|((~(m)>x)>f)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((x&g))|(x&m)))
|
~((h&(((g|l)&(g&p))&(m|((~(m)>x)>f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&~(p))
|
(p|~(m))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&x)
|
((x|m)|~((g>h)))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(l)>m)|(l>p))>~((f|p)))
|
(h>(g>(p>(m&m))))
| 1 | 1 | 0 | 0 |
entailment
|
(f&x)
|
(h>(g>(p>(m&m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(l)>m)|(l>p))>~((f|p)))
|
((x|m)|~((g>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(h)&(~((~((p>g))&h))>(m&f)))
|
~(~((f|x)))
| 1 | 1 | 0 | 0 |
entailment
|
(m&(h&((l|x)>(~(x)&((l&x)>~(p))))))
|
(~(~((h&p)))|(~(((g|h)&x))>(x>~(l))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(h)&(~((~((p>g))&h))>(m&f)))
|
(~(~((h&p)))|(~(((g|h)&x))>(x>~(l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(h&((l|x)>(~(x)&((l&x)>~(p))))))
|
~(~((f|x)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((g|f)&m)>l))
|
(~((m|(((g>f)>h)>h)))>~(g))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((f>~(~(~(f))))>(x|~((l&l)))))&g)
|
(f|l)
| 1 | 1 | 1 | 0 |
entailment
|
~((((g|f)&m)>l))
|
(f|l)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((f>~(~(~(f))))>(x|~((l&l)))))&g)
|
(~((m|(((g>f)>h)>h)))>~(g))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((h|m)&m)>(((h>g)|~((x&h)))&m)))
|
(((m|(p>(x|~(x))))&l)|(l|((x&x)|m)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~((f|f))>((h|h)&l)))&~(x))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
~((((h|m)&m)>(((h>g)|~((x&h)))&m)))
|
~(f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~((f|f))>((h|h)&l)))&~(x))
|
(((m|(p>(x|~(x))))&l)|(l|((x&x)|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g>p)|f))
|
~((~(((l&g)|(m|f)))&p))
| 1 | 0 | 0 | 0 |
entailment
|
(h|h)
|
~(~(h))
| 1 | 0 | 1 | 1 |
entailment
|
~(((g>p)|f))
|
~(~(h))
| 0 | 1 | 0 | 0 |
not entailment
|
(h|h)
|
~((~(((l&g)|(m|f)))&p))
| 0 | 0 | 0 | 0 |
not entailment
|
((m|~((x|~(m))))&~((x&(p&p))))
|
((~(f)>~((x>x)))>((m|x)|h))
| 1 | 1 | 0 | 0 |
entailment
|
((g|x)&((h>m)&f))
|
(~(~((f&g)))|(p>((l>f)&p)))
| 1 | 0 | 0 | 0 |
entailment
|
((m|~((x|~(m))))&~((x&(p&p))))
|
(~(~((f&g)))|(p>((l>f)&p)))
| 0 | 1 | 0 | 0 |
not entailment
|
((g|x)&((h>m)&f))
|
((~(f)>~((x>x)))>((m|x)|h))
| 0 | 0 | 1 | 0 |
not entailment
|
((((u&m)|m)&y)&((~(u)|j)&j))
|
~(~(~(~(y))))
| 1 | 1 | 1 | 1 |
entailment
|
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