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 |
|---|---|---|---|---|---|---|
((u&m)&u)
|
(v|z)
| 0 | 1 | 0 | 0 |
not entailment
|
((((v>y)>s)|y)&v)
|
(((~((z&~(~(y))))|(m&u))>s)>u)
| 0 | 0 | 0 | 0 |
not entailment
|
((y|u)&(z&~(h)))
|
((m&(((h|v)|(u>(y&u)))>m))|(s|z))
| 1 | 0 | 0 | 0 |
entailment
|
((~(s)>(h|s))&p)
|
(v|p)
| 1 | 1 | 0 | 0 |
entailment
|
((y|u)&(z&~(h)))
|
(v|p)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(s)>(h|s))&p)
|
((m&(((h|v)|(u>(y&u)))>m))|(s|z))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c|p))
|
((u|~((c|p)))>~(((c&m)&m)))
| 1 | 0 | 0 | 0 |
entailment
|
((y&((l&u)>(m&c)))&~((l>~(g))))
|
(m>g)
| 1 | 1 | 1 | 0 |
entailment
|
~((c|p))
|
(m>g)
| 0 | 1 | 0 | 0 |
not entailment
|
((y&((l&u)>(m&c)))&~((l>~(g))))
|
((u|~((c|p)))>~(((c&m)&m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((u&(y|z))>(p&y))>(a|(y>p))))
|
~((((~(z)&(p&(u&g)))|a)&~(z)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(c)&l)
|
(~(~((y>(u|((a|c)&l)))))|(l&l))
| 1 | 0 | 0 | 0 |
entailment
|
~((((u&(y|z))>(p&y))>(a|(y>p))))
|
(~(~((y>(u|((a|c)&l)))))|(l&l))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(c)&l)
|
~((((~(z)&(p&(u&g)))|a)&~(z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a|y)&m)&c)
|
((c|~((p>((g&z)|z))))>m)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(a))&g)
|
(g|a)
| 1 | 1 | 1 | 1 |
entailment
|
(((a|y)&m)&c)
|
(g|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(a))&g)
|
((c|~((p>((g&z)|z))))>m)
| 0 | 0 | 0 | 0 |
not entailment
|
((g>~(u))&l)
|
(~(~(((g&(m>a))>(m&(a>l)))))|l)
| 1 | 0 | 0 | 0 |
entailment
|
(~(y)&~(l))
|
~(~((((l>(l>~(c)))&(g|(z&y)))>g)))
| 1 | 0 | 0 | 0 |
entailment
|
((g>~(u))&l)
|
~(~((((l>(l>~(c)))&(g|(z&y)))>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)&~(l))
|
(~(~(((g&(m>a))>(m&(a>l)))))|l)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(m)>c)
|
((~((c|m))>z)|~(((l>y)&(p>m))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((c&(m>u))|y))
|
(c>m)
| 1 | 1 | 1 | 1 |
entailment
|
~(((c&(m>u))|y))
|
((~((c|m))>z)|~(((l>y)&(p>m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(((g&~(c))&(y>a))&l))
|
(m>g)
| 1 | 1 | 1 | 0 |
entailment
|
((g>g)&~((g|~((c&z)))))
|
(c|~((~(~((c&((z|z)>a))))>(l&a))))
| 1 | 0 | 0 | 0 |
entailment
|
(m&(((g&~(c))&(y>a))&l))
|
(c|~((~(~((c&((z|z)>a))))>(l&a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((g>g)&~((g|~((c&z)))))
|
(m>g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(u))
|
(g|u)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(u)>(((y>(l>z))|(l>z))|(m|u))))
|
(c>y)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(u))
|
(c>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(u)>(((y>(l>z))|(l>z))|(m|u))))
|
(g|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(((c&m)&z)&(~(((l|c)>((y>u)>(u|u))))|z))
|
((a|c)&z)
| 1 | 1 | 0 | 0 |
entailment
|
((p&(((c>(l&z))&l)>(m|u)))&c)
|
(y|(~((((c&z)>z)&(~((g>p))>y)))>a))
| 1 | 0 | 0 | 0 |
entailment
|
(((c&m)&z)&(~(((l|c)>((y>u)>(u|u))))|z))
|
(y|(~((((c&z)>z)&(~((g>p))>y)))>a))
| 0 | 1 | 0 | 0 |
not entailment
|
((p&(((c>(l&z))&l)>(m|u)))&c)
|
((a|c)&z)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((y&(c|(y>a)))&u))&((a|u)&((p|p)|l)))
|
(((l|u)|z)|(c>p))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(u)>~(~((l&(a>(p|~((u&c)))))))))
|
~(((u&~((a&~(m))))&z))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((y&(c|(y>a)))&u))&((a|u)&((p|p)|l)))
|
~(((u&~((a&~(m))))&z))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(u)>~(~((l&(a>(p|~((u&c)))))))))
|
(((l|u)|z)|(c>p))
| 0 | 1 | 0 | 0 |
not entailment
|
((c|a)&u)
|
(((z&~(~(~(u))))>~(l))|c)
| 1 | 0 | 0 | 0 |
entailment
|
(l&((u&(g&z))>(((u>l)&(u>a))&(z>u))))
|
((~(g)|(~((m>a))|~(c)))>l)
| 1 | 1 | 0 | 0 |
entailment
|
((c|a)&u)
|
((~(g)|(~((m>a))|~(c)))>l)
| 0 | 0 | 0 | 0 |
not entailment
|
(l&((u&(g&z))>(((u>l)&(u>a))&(z>u))))
|
(((z&~(~(~(u))))>~(l))|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&((((u>c)&u)&(l&m))&z))
|
(~((~(m)>l))>((g|m)&a))
| 1 | 1 | 0 | 0 |
entailment
|
(((z&z)>~(a))&(~(c)&~(l)))
|
~((((m|~((~(u)|((g>l)>m))))|p)&l))
| 1 | 0 | 0 | 0 |
entailment
|
(y&((((u>c)&u)&(l&m))&z))
|
~((((m|~((~(u)|((g>l)>m))))|p)&l))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z&z)>~(a))&(~(c)&~(l)))
|
(~((~(m)>l))>((g|m)&a))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((c&a)|~((m|m)))|p)|g)&g)
|
(((~(~(m))|a)&c)|g)
| 1 | 1 | 1 | 0 |
entailment
|
(m&z)
|
(a|m)
| 1 | 1 | 0 | 0 |
entailment
|
(((((c&a)|~((m|m)))|p)|g)&g)
|
(a|m)
| 0 | 1 | 1 | 0 |
not entailment
|
(m&z)
|
(((~(~(m))|a)&c)|g)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((y&m)))
|
((((l>(z&z))|(l&y))&m)|((g&m)|(a|c)))
| 1 | 0 | 0 | 0 |
entailment
|
((z&(c|~(l)))&(g|l))
|
((g|~(~(l)))|~(~(~(u))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((y&m)))
|
((g|~(~(l)))|~(~(~(u))))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&(c|~(l)))&(g|l))
|
((((l>(z&z))|(l&y))&m)|((g&m)|(a|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(y)&g)&(c>m))
|
(g|g)
| 1 | 1 | 1 | 1 |
entailment
|
~(((m&z)>p))
|
(((y&a)|p)|z)
| 1 | 1 | 0 | 0 |
entailment
|
((~(y)&g)&(c>m))
|
(((y&a)|p)|z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((m&z)>p))
|
(g|g)
| 0 | 1 | 0 | 0 |
not entailment
|
((p&(p>c))>~((~(m)|~((~(y)|u)))))
|
(m|~(~(((c&p)>((g|z)>l)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((l|g))
|
(~(g)|(m&y))
| 1 | 0 | 0 | 0 |
entailment
|
((p&(p>c))>~((~(m)|~((~(y)|u)))))
|
(~(g)|(m&y))
| 0 | 1 | 0 | 0 |
not entailment
|
~((l|g))
|
(m|~(~(((c&p)>((g|z)>l)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((g|(m|c))>m)
|
(c>((~((a>g))>(a|(~(l)|y)))&m))
| 1 | 0 | 0 | 0 |
entailment
|
~((((y|y)>((u>z)&(y|z)))|z))
|
((c>((g>z)>(y&(z|l))))|(u&y))
| 1 | 1 | 0 | 0 |
entailment
|
((g|(m|c))>m)
|
((c>((g>z)>(y&(z|l))))|(u&y))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((y|y)>((u>z)&(y|z)))|z))
|
(c>((~((a>g))>(a|(~(l)|y)))&m))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&y)&(a&m))
|
(((z>y)&m)&(g|l))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((u>~(m))|((z>l)&~(~((c|u))))))&g)
|
~(((y&(g|a))&(((a>u)|g)>~(z))))
| 1 | 1 | 0 | 0 |
entailment
|
((l&y)&(a&m))
|
~(((y&(g|a))&(((a>u)|g)>~(z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((u>~(m))|((z>l)&~(~((c|u))))))&g)
|
(((z>y)&m)&(g|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u&(m|~(m)))&(p|((g|c)>(g|a)))))
|
((p&u)>~(z))
| 1 | 1 | 0 | 0 |
entailment
|
((~((~((y>(y|u)))&(l|g)))|c)>(~(a)&m))
|
(p>(((m&z)|((y>p)|(z&m)))>(~(y)>~(a))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((u&(m|~(m)))&(p|((g|c)>(g|a)))))
|
(p>(((m&z)|((y>p)|(z&m)))>(~(y)>~(a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((~((y>(y|u)))&(l|g)))|c)>(~(a)&m))
|
((p&u)>~(z))
| 0 | 1 | 0 | 0 |
not entailment
|
(p|(z&~(~(~(z)))))
|
((~(c)&((z>(a&y))&((p&c)|z)))|p)
| 1 | 0 | 0 | 0 |
entailment
|
~((y>((l|p)>c)))
|
(m>~(~(y)))
| 1 | 1 | 0 | 0 |
entailment
|
(p|(z&~(~(~(z)))))
|
(m>~(~(y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((y>((l|p)>c)))
|
((~(c)&((z>(a&y))&((p&c)|z)))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
(y>l)
|
(~(l)>(((u|((g|z)>a))&a)>(a&(y>u))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((((m|l)|u)&a)>((a>c)|(a>z))))&~(z))
|
((y>~(u))|(((y>(p|l))|~(g))>a))
| 1 | 1 | 0 | 0 |
entailment
|
(y>l)
|
((y>~(u))|(((y>(p|l))|~(g))>a))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((((m|l)|u)&a)>((a>c)|(a>z))))&~(z))
|
(~(l)>(((u|((g|z)>a))&a)>(a&(y>u))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(s)>s)
|
~(~(s))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((s>s)>s))&((s&s)>s))
|
((s|(s>(s|s)))>~((s&s)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(s)>s)
|
((s|(s>(s|s)))>~((s&s)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((s>s)>s))&((s&s)>s))
|
~(~(s))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((s&(s&s))))
|
((s>s)&s)
| 1 | 1 | 1 | 0 |
entailment
|
(s>~((s>((s&~(s))>s))))
|
~((((s&(s>~((s|s))))&s)|s))
| 1 | 0 | 1 | 1 |
entailment
|
~(~((s&(s&s))))
|
~((((s&(s>~((s|s))))&s)|s))
| 0 | 0 | 1 | 0 |
not entailment
|
(s>~((s>((s&~(s))>s))))
|
((s>s)&s)
| 0 | 1 | 1 | 1 |
not entailment
|
((~(~(s))|(s|s))&s)
|
(s&(s|s))
| 1 | 1 | 1 | 1 |
entailment
|
~(((s&(s&(s>s)))|s))
|
(~(~((s&s)))>(s>~(~(~((s&s))))))
| 1 | 0 | 1 | 1 |
entailment
|
((~(~(s))|(s|s))&s)
|
(~(~((s&s)))>(s>~(~(~((s&s))))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((s&(s&(s>s)))|s))
|
(s&(s|s))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((((s|s)>s)>(s|s))&(s&s)))
|
~(((s>s)&(s|s)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~(~(s))))
|
((s&s)&s)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((s|s)>s)>(s|s))&(s&s)))
|
((s&s)&s)
| 0 | 1 | 1 | 1 |
not entailment
|
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