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 |
|---|---|---|---|---|---|---|
((d|s)&~((d|((p&(s|(h>s)))>(s>(p&l))))))
|
(c>~((h|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((h|p)>l)|(d>d))&c))
|
(s|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(d)&(((l&h)>~(c))>~(s)))
|
(d>(h|(p>~(c))))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(((l|~(h))>(s|h))>(((c&s)>(p|l))|d)))
|
(d|(c&c))
| 1 | 1 | 1 | 1 |
entailment
|
(~(d)&(((l&h)>~(c))>~(s)))
|
(d|(c&c))
| 0 | 1 | 1 | 0 |
not entailment
|
(c&(((l|~(h))>(s|h))>(((c&s)>(p|l))|d)))
|
(d>(h|(p>~(c))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((d|p)|((~(~(d))>h)&(s>(h|d)))))
|
~((l&d))
| 1 | 1 | 0 | 0 |
entailment
|
((~((p|l))>(p>(h&~(l))))&(p&d))
|
(p|((d>~(d))>((p|c)|(~(h)>p))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((d|p)|((~(~(d))>h)&(s>(h|d)))))
|
(p|((d>~(d))>((p|c)|(~(h)>p))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((p|l))>(p>(h&~(l))))&(p&d))
|
~((l&d))
| 0 | 1 | 1 | 0 |
not entailment
|
(s>~((c|l)))
|
((~((~(~(~(c)))&s))|(c&s))>~((s&s)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(((h&p)&((~(d)&(s|l))>~(h)))))
|
((~(~(((s|p)&(l>(d>p)))))>h)>(l>h))
| 1 | 1 | 1 | 0 |
entailment
|
(s>~((c|l)))
|
((~(~(((s|p)&(l>(d>p)))))>h)>(l>h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((h&p)&((~(d)&(s|l))>~(h)))))
|
((~((~(~(~(c)))&s))|(c&s))>~((s&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((p>(l>s))&s))|c))
|
(c>~(~((l&(~((l>d))>(~(l)|s))))))
| 1 | 0 | 0 | 0 |
entailment
|
(p|~((~(~((l>h)))|~((c&((l>c)&s))))))
|
(((c|p)|~(~(p)))|~(((p|s)>~(p))))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((p>(l>s))&s))|c))
|
(((c|p)|~(~(p)))|~(((p|s)>~(p))))
| 0 | 0 | 1 | 0 |
not entailment
|
(p|~((~(~((l>h)))|~((c&((l>c)&s))))))
|
(c>~(~((l&(~((l>d))>(~(l)|s))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((h>l)|d)>~((d|h)))>c))
|
((c|d)>~(~((l>(c&h)))))
| 1 | 1 | 1 | 0 |
entailment
|
((p&(~(h)>~((c>((s|h)&d)))))&(c&c))
|
((~(((c|d)|(d>h)))|(p&c))|~(~(h)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((((h>l)|d)>~((d|h)))>c))
|
((~(((c|d)|(d>h)))|(p&c))|~(~(h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&(~(h)>~((c>((s|h)&d)))))&(c&c))
|
((c|d)>~(~((l>(c&h)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((h&~(~((p>h))))&~(((l&s)|p))))&c)
|
(~(c)>(h|l))
| 1 | 1 | 1 | 0 |
entailment
|
(s&p)
|
(~((s|c))|((s&((p|p)&p))|(d>h)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((h&~(~((p>h))))&~(((l&s)|p))))&c)
|
(~((s|c))|((s&((p|p)&p))|(d>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(s&p)
|
(~(c)>(h|l))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(s)&(c&l))
|
~(~(((p|(l>s))>~((~(l)&d)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((p|(h>p)))
|
~((c&((p&d)&c)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(s)&(c&l))
|
~((c&((p&d)&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((p|(h>p)))
|
~(~(((p|(l>s))>~((~(l)&d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s>s)>(c|h)))
|
~((h&s))
| 1 | 1 | 1 | 1 |
entailment
|
~((d|~((s&(p&h)))))
|
(s|~(l))
| 1 | 1 | 0 | 0 |
entailment
|
~(((s>s)>(c|h)))
|
(s|~(l))
| 0 | 1 | 0 | 0 |
not entailment
|
~((d|~((s&(p&h)))))
|
~((h&s))
| 0 | 1 | 1 | 0 |
not entailment
|
((l|d)>~(((~(p)|s)|((c|(s|p))&(l|d)))))
|
((((l|(p&c))>h)|(d>l))&(s|(h>h)))
| 1 | 1 | 0 | 0 |
entailment
|
~((p>h))
|
(~(~(~((d&~(((d|h)&(s|~(d))))))))>p)
| 1 | 0 | 0 | 0 |
entailment
|
((l|d)>~(((~(p)|s)|((c|(s|p))&(l|d)))))
|
(~(~(~((d&~(((d|h)&(s|~(d))))))))>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((p>h))
|
((((l|(p&c))>h)|(d>l))&(s|(h>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~(l)>((c>d)>c)))))
|
((s&(l|(h|h)))>(c>p))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(h))&(l>l))|d)
|
((~((d|h))>d)|(s>((c|d)|~(s))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~(l)>((c>d)>c)))))
|
((~((d|h))>d)|(s>((c|d)|~(s))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(h))&(l>l))|d)
|
((s&(l|(h|h)))>(c>p))
| 0 | 1 | 0 | 0 |
not entailment
|
((g&h)&h)
|
(v>h)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(v))
|
(i>(v&((e|w)>v)))
| 1 | 0 | 0 | 0 |
entailment
|
((g&h)&h)
|
(i>(v&((e|w)>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(v))
|
(v>h)
| 0 | 1 | 0 | 0 |
not entailment
|
((h>y)>h)
|
(h|e)
| 1 | 1 | 0 | 0 |
entailment
|
(((w|~(w))&w)&(i|((~((w|w))>g)&(v>g))))
|
((v|(h>h))&(g>w))
| 1 | 1 | 0 | 0 |
entailment
|
((h>y)>h)
|
((v|(h>h))&(g>w))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w|~(w))&w)&(i|((~((w|w))>g)&(v>g))))
|
(h|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(y|~(~((((w>i)|e)>y)))))
|
(~((((((w|e)>v)|h)&i)|~(w)))|(w|(i|h)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(v)>~((v>y)))
|
((((i&w)&(w>h))>(h|((y&i)|(w|y))))&(w|v))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(y|~(~((((w>i)|e)>y)))))
|
((((i&w)&(w>h))>(h|((y&i)|(w|y))))&(w|v))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(v)>~((v>y)))
|
(~((((((w|e)>v)|h)&i)|~(w)))|(w|(i|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(v>g)
|
((v>~(h))|((g|i)|((g>i)>e)))
| 1 | 0 | 0 | 0 |
entailment
|
((v|(v|e))&(((y&h)|~((v|e)))&~(g)))
|
(~((g&((y>e)|v)))|(e&~((y&(v>w)))))
| 1 | 1 | 0 | 0 |
entailment
|
(v>g)
|
(~((g&((y>e)|v)))|(e&~((y&(v>w)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((v|(v|e))&(((y&h)|~((v|e)))&~(g)))
|
((v>~(h))|((g|i)|((g>i)>e)))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&h)
|
(~(e)>e)
| 1 | 0 | 1 | 1 |
entailment
|
(~(h)&g)
|
~(~(~(~(g))))
| 1 | 0 | 1 | 1 |
entailment
|
(e&h)
|
~(~(~(~(g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(h)&g)
|
(~(e)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((v&i)&(((w>y)&y)&e))>w))
|
((((g|w)|(i|w))&e)|((v|(y&i))>w))
| 1 | 0 | 0 | 0 |
entailment
|
(g&((i>e)>h))
|
(h>(y>g))
| 1 | 1 | 0 | 0 |
entailment
|
~((((v&i)&(((w>y)&y)&e))>w))
|
(h>(y>g))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&((i>e)>h))
|
((((g|w)|(i|w))&e)|((v|(y&i))>w))
| 0 | 0 | 0 | 0 |
not entailment
|
((((g|i)&h)|(~((e&h))>(v>w)))&(~(w)&g))
|
(((y|g)|h)>(w>e))
| 1 | 1 | 0 | 0 |
entailment
|
(w&((~(g)>((v&~((i&i)))|e))&y))
|
(~(~((i|w)))|~(((~(i)|v)|((h&e)>g))))
| 1 | 0 | 0 | 0 |
entailment
|
((((g|i)&h)|(~((e&h))>(v>w)))&(~(w)&g))
|
(~(~((i|w)))|~(((~(i)|v)|((h&e)>g))))
| 0 | 1 | 1 | 0 |
not entailment
|
(w&((~(g)>((v&~((i&i)))|e))&y))
|
(((y|g)|h)>(w>e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e&i)>(e&y)))
|
(((y&w)>(y|((~(y)>g)&(i|(y>v)))))&(i|i))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(~((~(e)&(h&g)))&(((e|y)>(w&w))|g)))
|
(~((g|(h|w)))>y)
| 1 | 1 | 1 | 0 |
entailment
|
~(((e&i)>(e&y)))
|
(~((g|(h|w)))>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&(~((~(e)&(h&g)))&(((e|y)>(w&w))|g)))
|
(((y&w)>(y|((~(y)>g)&(i|(y>v)))))&(i|i))
| 0 | 1 | 0 | 0 |
not entailment
|
~((v|(h&(h|v))))
|
(((v&(y&g))&w)>e)
| 1 | 1 | 0 | 0 |
entailment
|
(y&~((~((w|h))|~((h&h)))))
|
(~(((e|w)|((w|y)|g)))|(((h|h)|g)|e))
| 1 | 0 | 0 | 0 |
entailment
|
~((v|(h&(h|v))))
|
(~(((e|w)|((w|y)|g)))|(((h|h)|g)|e))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&~((~((w|h))|~((h&h)))))
|
(((v&(y&g))&w)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
((h&i)&~(~((v&e))))
|
(y>e)
| 1 | 1 | 0 | 0 |
entailment
|
(((g>h)>(((h&~(e))>h)>~(w)))&(g>h))
|
((e&w)>~(((e|e)&(y>h))))
| 1 | 1 | 0 | 0 |
entailment
|
((h&i)&~(~((v&e))))
|
((e&w)>~(((e|e)&(y>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((g>h)>(((h&~(e))>h)>~(w)))&(g>h))
|
(y>e)
| 0 | 1 | 0 | 0 |
not entailment
|
((w&w)&v)
|
((~(w)&(i|(i|y)))>h)
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((y>h))>~(i))|(v>g)))
|
(((((i|i)&e)&~(w))|g)>(h>e))
| 1 | 1 | 0 | 0 |
entailment
|
((w&w)&v)
|
(((((i|i)&e)&~(w))|g)>(h>e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((y>h))>~(i))|(v>g)))
|
((~(w)&(i|(i|y)))>h)
| 0 | 1 | 0 | 0 |
not entailment
|
((((e>(e|y))>~(v))&(w&g))&(v|g))
|
((v>h)>(i|g))
| 1 | 1 | 0 | 0 |
entailment
|
(~(w)&y)
|
(y|(e&(g|h)))
| 1 | 0 | 0 | 0 |
entailment
|
((((e>(e|y))>~(v))&(w&g))&(v|g))
|
(y|(e&(g|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(w)&y)
|
((v>h)>(i|g))
| 0 | 0 | 0 | 0 |
not entailment
|
~(v)
|
~((((g|i)&w)&v))
| 1 | 0 | 0 | 0 |
entailment
|
(((e|g)>i)&w)
|
(((h&g)>g)&((w|i)|(y&e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(v)
|
(((h&g)>g)&((w|i)|(y&e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e|g)>i)&w)
|
~((((g|i)&w)&v))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|~((e|~(v))))&(y&(i&h)))
|
(((y|w)|~((v&(e|v))))|(i&(~(e)|(v|v))))
| 1 | 0 | 0 | 0 |
entailment
|
~(w)
|
~(((w&h)&((e|v)>e)))
| 1 | 0 | 0 | 0 |
entailment
|
((y|~((e|~(v))))&(y&(i&h)))
|
~(((w&h)&((e|v)>e)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(w)
|
(((y|w)|~((v&(e|v))))|(i&(~(e)|(v|v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&~(~(e)))
|
(y|e)
| 1 | 1 | 0 | 0 |
entailment
|
(w&i)
|
(i|~(~((y>(g>(h&i))))))
| 1 | 0 | 0 | 0 |
entailment
|
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