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 |
|---|---|---|---|---|---|---|
((c>o)&(a&j))
|
(~(((d&~((((j>a)&k)&e)))|(r>c)))|(d|j))
| 1 | 0 | 0 | 0 |
entailment
|
((c&q)&((r|c)&(e|~(j))))
|
(((f|k)&f)|c)
| 1 | 1 | 0 | 0 |
entailment
|
((c>o)&(a&j))
|
(((f|k)&f)|c)
| 0 | 1 | 0 | 0 |
not entailment
|
((c&q)&((r|c)&(e|~(j))))
|
(~(((d&~((((j>a)&k)&e)))|(r>c)))|(d|j))
| 0 | 0 | 0 | 0 |
not entailment
|
(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))
| 1 | 0 | 1 | 0 |
entailment
|
(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)))
| 0 | 0 | 1 | 0 |
not entailment
|
(m|m)
|
((m&m)|m)
| 1 | 0 | 1 | 1 |
entailment
|
((~(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)
| 0 | 1 | 1 | 0 |
not entailment
|
(m&(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)|(m&m)))
| 1 | 1 | 1 | 1 |
entailment
|
(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|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))
| 1 | 1 | 1 | 1 |
entailment
|
~((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))
| 0 | 0 | 1 | 1 |
not entailment
|
~((m|m))
|
(m&(m|m))
| 0 | 1 | 1 | 0 |
not entailment
|
(m&m)
|
((m|m)|m)
| 1 | 0 | 1 | 1 |
entailment
|
~((m&m))
|
(~(m)&(m>m))
| 1 | 0 | 1 | 0 |
entailment
|
(m&m)
|
(~(m)&(m>m))
| 0 | 0 | 1 | 0 |
not entailment
|
~((m&m))
|
((m|m)|m)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((g>(z|h))&((y|h)>g))>(h&(l|y)))|h))
|
(f>~(~(~(h))))
| 1 | 1 | 0 | 0 |
entailment
|
((g|~((y|~((g|s)))))&(z&f))
|
((l>f)|(~((l&s))|(((p|g)|h)>y)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((g>(z|h))&((y|h)>g))>(h&(l|y)))|h))
|
((l>f)|(~((l&s))|(((p|g)|h)>y)))
| 0 | 1 | 0 | 0 |
not entailment
|
((g|~((y|~((g|s)))))&(z&f))
|
(f>~(~(~(h))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((g&h))&(g>s))&~((~(f)>~((h>f)))))
|
(~((z&h))>(f>(p|~(~(g)))))
| 1 | 1 | 0 | 0 |
entailment
|
(((h|l)&f)&~(~(((l&l)&h))))
|
((((h&l)>f)&(h|z))>(l&h))
| 1 | 1 | 0 | 0 |
entailment
|
((~((g&h))&(g>s))&~((~(f)>~((h>f)))))
|
((((h&l)>f)&(h|z))>(l&h))
| 0 | 1 | 0 | 0 |
not entailment
|
(((h|l)&f)&~(~(((l&l)&h))))
|
(~((z&h))>(f>(p|~(~(g)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((p>s)&(g>g))>(~(z)|y)))
|
(y>(y>s))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((y&z)|l))&~((g&(f|h))))
|
(((l&p)>((g|g)&y))|(((y&h)&(l&f))|h))
| 1 | 0 | 0 | 0 |
entailment
|
~((((p>s)&(g>g))>(~(z)|y)))
|
(((l&p)>((g|g)&y))|(((y&h)&(l&f))|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((y&z)|l))&~((g&(f|h))))
|
(y>(y>s))
| 0 | 1 | 0 | 0 |
not entailment
|
~(l)
|
(((g&p)&l)>((y>s)>(y>f)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&((h|((p&g)&s))|(s&~((l|f)))))
|
(((p&(y&f))>(~((z>h))>g))>(l&(h|l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(l)
|
(((p&(y&f))>(~((z>h))>g))>(l&(h|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&((h|((p&g)&s))|(s&~((l|f)))))
|
(((g&p)&l)>((y>s)>(y>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(g>~(g))
|
((l>g)>(g>h))
| 1 | 0 | 0 | 0 |
entailment
|
(~(y)&(~((h|z))&~((l>f))))
|
~((((~(f)>(p|h))&(f&y))|h))
| 1 | 1 | 0 | 0 |
entailment
|
(g>~(g))
|
~((((~(f)>(p|h))&(f&y))|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)&(~((h|z))&~((l>f))))
|
((l>g)>(g>h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((p&l)|(~(p)|h)))
|
((~(z)&~((l>(p>s))))>((h|g)&(y>l)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(h))|(g|z)))
|
(g>l)
| 1 | 1 | 0 | 0 |
entailment
|
~(((p&l)|(~(p)|h)))
|
(g>l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(h))|(g|z)))
|
((~(z)&~((l>(p>s))))>((h|g)&(y>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p|(~(p)|(g>y)))|g)&((h|(f>g))&(l&s)))
|
(h|(l|(s>p)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((g&(l>p))&(p>l))))
|
((f&(z&l))|(g|h))
| 1 | 1 | 0 | 0 |
entailment
|
(((p|(~(p)|(g>y)))|g)&((h|(f>g))&(l&s)))
|
((f&(z&l))|(g|h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((g&(l>p))&(p>l))))
|
(h|(l|(s>p)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((s>h)|(z>p))|(h&p)))|((s|g)&f))
|
(~(z)>f)
| 1 | 1 | 1 | 1 |
entailment
|
((~((l&s))&(((p>l)&f)&p))|(h&(y|h)))
|
(l|h)
| 1 | 1 | 1 | 1 |
entailment
|
(~((((s>h)|(z>p))|(h&p)))|((s|g)&f))
|
(l|h)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((l&s))&(((p>l)&f)&p))|(h&(y|h)))
|
(~(z)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((p&~(f))&~(((p&~((g>y)))|(l|g))))
|
~(((y&(s|(~(~(s))>g)))&g))
| 1 | 1 | 0 | 0 |
entailment
|
((s&((g>s)&(y&h)))|(h&h))
|
(((y|f)&(y|((s|s)>y)))|h)
| 1 | 1 | 0 | 0 |
entailment
|
((p&~(f))&~(((p&~((g>y)))|(l|g))))
|
(((y|f)&(y|((s|s)>y)))|h)
| 0 | 1 | 0 | 0 |
not entailment
|
((s&((g>s)&(y&h)))|(h&h))
|
~(((y&(s|(~(~(s))>g)))&g))
| 0 | 0 | 1 | 0 |
not entailment
|
~(z)
|
(g>(~(~(((p|p)>y)))>(z>(l>~(f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&h)
|
(~((l&~((h&((g|y)&f)))))|(l&h))
| 1 | 0 | 0 | 0 |
entailment
|
~(z)
|
(~((l&~((h&((g|y)&f)))))|(l&h))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&h)
|
(g>(~(~(((p|p)>y)))>(z>(l>~(f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(y|f)
|
((f|(p>y))|~((~((y>(p>s)))>~(p))))
| 1 | 0 | 0 | 0 |
entailment
|
((y|h)&~(((f|(h>y))|((s>f)&~(l)))))
|
(~(~((h>y)))>((~(g)>s)>~(h)))
| 1 | 1 | 0 | 0 |
entailment
|
(y|f)
|
(~(~((h>y)))>((~(g)>s)>~(h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|h)&~(((f|(h>y))|((s>f)&~(l)))))
|
((f|(p>y))|~((~((y>(p>s)))>~(p))))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&g)&(s&g))
|
(s>f)
| 1 | 1 | 1 | 0 |
entailment
|
(~(l)&~(((y&s)|((h&f)&(p|l)))))
|
((((h|h)&h)|(h&h))|~(l))
| 1 | 1 | 1 | 0 |
entailment
|
((f&g)&(s&g))
|
((((h|h)&h)|(h&h))|~(l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(l)&~(((y&s)|((h&f)&(p|l)))))
|
(s>f)
| 0 | 1 | 1 | 0 |
not entailment
|
~((g|y))
|
(g>(z>y))
| 1 | 1 | 0 | 0 |
entailment
|
~((((((l|f)|g)>l)|(f&h))&(p|(s>s))))
|
((f&h)>(((~((~(h)>p))|y)|g)&g))
| 1 | 1 | 0 | 0 |
entailment
|
~((g|y))
|
((f&h)>(((~((~(h)>p))|y)|g)&g))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((((l|f)|g)>l)|(f&h))&(p|(s>s))))
|
(g>(z>y))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f>l)|z)|h))
|
((h>z)|s)
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(p))>(f>l))&(y&f))
|
((y&s)|(s>g))
| 1 | 1 | 0 | 0 |
entailment
|
~((((f>l)|z)|h))
|
((y&s)|(s>g))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(p))>(f>l))&(y&f))
|
((h>z)|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(((l>h)>(g|y))&(s&l))
|
(~((f|s))|((s>l)|f))
| 1 | 1 | 0 | 0 |
entailment
|
((f|z)>(~(~(~(z)))&(h|s)))
|
~(z)
| 1 | 1 | 1 | 1 |
entailment
|
(((l>h)>(g|y))&(s&l))
|
~(z)
| 0 | 1 | 0 | 0 |
not entailment
|
((f|z)>(~(~(~(z)))&(h|s)))
|
(~((f|s))|((s>l)|f))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(i)&(l&~(~(((l&i)>l)))))
|
(l&((l&(l|l))>l))
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(((l|i)|~(l)))&((i|l)&(l|i))))&i)
|
(((l&i)&(i|i))|(i&((l>(i>i))|l)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(i)&(l&~(~(((l&i)>l)))))
|
(((l&i)&(i|i))|(i&((l>(i>i))|l)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((~(((l|i)|~(l)))&((i|l)&(l|i))))&i)
|
(l&((l&(l|l))>l))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((i>(i|l))&l)))
|
((~(i)>l)&l)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((l|l)|l)&(l>l))|((i|i)>(i>l))))
|
(((i>((i>i)|i))|(~(l)|((l|l)&l)))&i)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((i>(i|l))&l)))
|
(((i>((i>i)|i))|(~(l)|((l|l)&l)))&i)
| 0 | 0 | 1 | 0 |
not entailment
|
~(((((l|l)|l)&(l>l))|((i|i)>(i>l))))
|
((~(i)>l)&l)
| 0 | 1 | 1 | 1 |
not entailment
|
(((~(~(i))&(l&i))&i)|(l|i))
|
(((l|l)&(~((i>i))>i))|((l|i)&i))
| 1 | 0 | 1 | 0 |
entailment
|
((l&l)>(~((i|(l>l)))&((i|l)&l)))
|
((l&i)|~((l|l)))
| 1 | 1 | 1 | 1 |
entailment
|
(((~(~(i))&(l&i))&i)|(l|i))
|
((l&i)|~((l|l)))
| 0 | 1 | 1 | 0 |
not entailment
|
((l&l)>(~((i|(l>l)))&((i|l)&l)))
|
(((l|l)&(~((i>i))>i))|((l|i)&i))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((i|i)&i)))
|
~(~(~(((i|(l|l))>(l&~(i))))))
| 1 | 0 | 0 | 0 |
entailment
|
(l|l)
|
(l|~(i))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((i|i)&i)))
|
(l|~(i))
| 0 | 1 | 0 | 0 |
not entailment
|
(l|l)
|
~(~(~(((i|(l|l))>(l&~(i))))))
| 0 | 0 | 0 | 0 |
not entailment
|
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