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&z)
|
~((n&s))
| 0 | 0 | 0 | 0 |
not entailment
|
((o|(f&h))&n)
|
(~(~(((w>(n&(h|d)))|~(h))))|~(f))
| 1 | 0 | 0 | 0 |
entailment
|
((d|w)&~(~((((f>w)>s)&~((d|y))))))
|
((d>n)&(~((~(o)&(h|(y&d))))|(y|w)))
| 1 | 1 | 0 | 0 |
entailment
|
((o|(f&h))&n)
|
((d>n)&(~((~(o)&(h|(y&d))))|(y|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d|w)&~(~((((f>w)>s)&~((d|y))))))
|
(~(~(((w>(n&(h|d)))|~(h))))|~(f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((((s&(i|v))>g)>i)&i)))
|
(~((i|(i>v)))|i)
| 1 | 1 | 1 | 0 |
entailment
|
~(g)
|
(i>(((g>~(g))|v)&~(((v&g)&(v&j)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((((s&(i|v))>g)>i)&i)))
|
(i>(((g>~(g))|v)&~(((v&g)&(v&j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(g)
|
(~((i|(i>v)))|i)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(s)&i)
|
(((s|(v&v))&((j&(j|(j>s)))>i))|i)
| 1 | 0 | 0 | 0 |
entailment
|
~((j>~(g)))
|
~(~((~((g&g))>s)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(s)&i)
|
~(~((~((g&g))>s)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j>~(g)))
|
(((s|(v&v))&((j&(j|(j>s)))>i))|i)
| 0 | 0 | 0 | 0 |
not entailment
|
((v>(((g&j)>~((i>i)))>v))&(i|~((j|v))))
|
(j>i)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((j>s)&(((v>s)>~(i))&j))))
|
((j|v)&j)
| 1 | 1 | 1 | 1 |
entailment
|
((v>(((g&j)>~((i>i)))>v))&(i|~((j|v))))
|
((j|v)&j)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(((j>s)&(((v>s)>~(i))&j))))
|
(j>i)
| 0 | 1 | 1 | 0 |
not entailment
|
(v&(((i|j)&g)>(g&(s|s))))
|
~(~((~(v)>(i|(~((g|g))>j)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((~((((g>i)>s)|j))|(v|g)))
|
((s>s)&~((v|v)))
| 1 | 1 | 1 | 0 |
entailment
|
(v&(((i|j)&g)>(g&(s|s))))
|
((s>s)&~((v|v)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((((g>i)>s)|j))|(v|g)))
|
~(~((~(v)>(i|(~((g|g))>j)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~((~((j&g))|(s&s)))>(i|((j|i)>i))))
|
((s>(g|~((~(~(~(j)))|v))))|j)
| 1 | 1 | 0 | 0 |
entailment
|
(s&(s|(i|v)))
|
~((((g|j)&(v>v))&~((s|v))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~((j&g))|(s&s)))>(i|((j|i)>i))))
|
~((((g|j)&(v>v))&~((s|v))))
| 0 | 1 | 0 | 0 |
not entailment
|
(s&(s|(i|v)))
|
((s>(g|~((~(~(~(j)))|v))))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
(s|~((~(((i>i)&j))|s)))
|
((v|(j|((s&v)|(s|s))))|v)
| 1 | 1 | 0 | 0 |
entailment
|
((g&(s|i))&i)
|
(((~(s)&s)>~(g))>(i|i))
| 1 | 0 | 1 | 0 |
entailment
|
(s|~((~(((i>i)&j))|s)))
|
(((~(s)&s)>~(g))>(i|i))
| 0 | 1 | 0 | 0 |
not entailment
|
((g&(s|i))&i)
|
((v|(j|((s&v)|(s|s))))|v)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((((s|i)&v)&(s&g))&(~(i)|s))))
|
((s|j)|~((j|(~(((v|g)|v))|((v|v)&i)))))
| 1 | 0 | 0 | 0 |
entailment
|
(j|i)
|
(~(i)>j)
| 1 | 0 | 1 | 1 |
entailment
|
~(~(((((s|i)&v)&(s&g))&(~(i)|s))))
|
(~(i)>j)
| 0 | 1 | 0 | 0 |
not entailment
|
(j|i)
|
((s|j)|~((j|(~(((v|g)|v))|((v|v)&i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((j&s)&~((~(~(g))>~((g>i)))))
|
((v|(((s>g)|j)|g))&g)
| 1 | 1 | 0 | 0 |
entailment
|
~(((i&(j|(i|i)))>(v|g)))
|
~((v&(g&(v|(((v&~(v))|g)&j)))))
| 1 | 0 | 1 | 0 |
entailment
|
((j&s)&~((~(~(g))>~((g>i)))))
|
~((v&(g&(v|(((v&~(v))|g)&j)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i&(j|(i|i)))>(v|g)))
|
((v|(((s>g)|j)|g))&g)
| 0 | 1 | 0 | 0 |
not entailment
|
(j>(((j|g)&i)&(v>i)))
|
(~(((j>i)|i))>(s&i))
| 1 | 1 | 0 | 0 |
entailment
|
(~((v>~(~(g))))&~(s))
|
~((i&~((((j>v)&s)>(g>j)))))
| 1 | 0 | 0 | 0 |
entailment
|
(j>(((j|g)&i)&(v>i)))
|
~((i&~((((j>v)&s)>(g>j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((v>~(~(g))))&~(s))
|
(~(((j>i)|i))>(s&i))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((g&g))|(i|(s>i))))
|
~((~(((i&s)|((s|j)&((g|i)|i))))&(s>i)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g&j))&v)
|
((g&j)>(j&(((i>j)&g)>~(v))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((g&g))|(i|(s>i))))
|
((g&j)>(j&(((i>j)&g)>~(v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((g&j))&v)
|
~((~(((i&s)|((s|j)&((g|i)|i))))&(s>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(i)
|
~(i)
| 1 | 1 | 1 | 1 |
entailment
|
~(((j&v)>(s&i)))
|
((~((s&j))&(v|g))>j)
| 1 | 0 | 0 | 0 |
entailment
|
~(i)
|
((~((s&j))&(v|g))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j&v)>(s&i)))
|
~(i)
| 0 | 1 | 1 | 1 |
not entailment
|
~((((i&i)|g)>(i|~(j))))
|
((~((i|(v|(s&~(g)))))|i)>(g|i))
| 1 | 0 | 0 | 0 |
entailment
|
(~((s&((g|j)&j)))&j)
|
((v>v)&~(s))
| 1 | 1 | 0 | 0 |
entailment
|
~((((i&i)|g)>(i|~(j))))
|
((v>v)&~(s))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((s&((g|j)&j)))&j)
|
((~((i|(v|(s&~(g)))))|i)>(g|i))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&i)&((g&i)>((v>j)>(i&i))))
|
((i|(~(g)>(g>j)))&s)
| 1 | 1 | 1 | 0 |
entailment
|
(~(j)&((i|j)|v))
|
((g|~((~(j)&(j>g))))>g)
| 1 | 0 | 0 | 0 |
entailment
|
((s&i)&((g&i)>((v>j)>(i&i))))
|
((g|~((~(j)&(j>g))))>g)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(j)&((i|j)|v))
|
((i|(~(g)>(g>j)))&s)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~((~((s|(j>s)))|i)))))
|
(~((v&(j&s)))>((i|((i&s)|(g>v)))|(s>v)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&(j|((v>(s>i))&~(v))))
|
((s|((s&~((g&v)))|v))|(((g&s)&g)&(s|v)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~((~((s|(j>s)))|i)))))
|
((s|((s&~((g&v)))|v))|(((g&s)&g)&(s|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&(j|((v>(s>i))&~(v))))
|
(~((v&(j&s)))>((i|((i&s)|(g>v)))|(s>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&v)
|
(~((~(v)&s))|(i|(s>(g>i))))
| 1 | 0 | 0 | 0 |
entailment
|
(g&((((v|g)|v)&g)>((g&s)|((g&(i>s))>i))))
|
(((v|(j|i))&s)|((g>(v|g))>g))
| 1 | 1 | 0 | 0 |
entailment
|
(v&v)
|
(((v|(j|i))&s)|((g>(v|g))>g))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&((((v|g)|v)&g)>((g&s)|((g&(i>s))>i))))
|
(~((~(v)&s))|(i|(s>(g>i))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((c|e))
|
(((c|~(((c>r)&l)))|~((e&s)))>(c>s))
| 1 | 0 | 0 | 0 |
entailment
|
(p&k)
|
(l>p)
| 1 | 1 | 0 | 0 |
entailment
|
~((c|e))
|
(l>p)
| 0 | 1 | 0 | 0 |
not entailment
|
(p&k)
|
(((c|~(((c>r)&l)))|~((e&s)))>(c>s))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&((l>e)>(~((p>j))>(c>l))))
|
((((l>(b&((p>c)|(s>b))))>e)>l)|k)
| 1 | 0 | 0 | 0 |
entailment
|
~((j>(~(c)&e)))
|
((l|(l|c))|((l|e)>~(((b|j)>p))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&((l>e)>(~((p>j))>(c>l))))
|
((l|(l|c))|((l|e)>~(((b|j)>p))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j>(~(c)&e)))
|
((((l>(b&((p>c)|(s>b))))>e)>l)|k)
| 0 | 0 | 0 | 0 |
not entailment
|
((b&~(l))&b)
|
(s|b)
| 1 | 1 | 0 | 0 |
entailment
|
~((((s>p)>~(l))|(l&e)))
|
(((k>r)|((b&p)|((l>(s>b))&r)))>(s|l))
| 1 | 0 | 0 | 0 |
entailment
|
((b&~(l))&b)
|
(((k>r)|((b&p)|((l>(s>b))&r)))>(s|l))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((s>p)>~(l))|(l&e)))
|
(s|b)
| 0 | 1 | 0 | 0 |
not entailment
|
~((c>(c&e)))
|
((j>~(e))|(k>((b|p)|(k>b))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((((r>(p&c))&(e|b))>r)>l))>(p&s)))
|
(j>(l>k))
| 1 | 1 | 0 | 0 |
entailment
|
~((c>(c&e)))
|
(j>(l>k))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((((r>(p&c))&(e|b))>r)>l))>(p&s)))
|
((j>~(e))|(k>((b|p)|(k>b))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((e&j)>(j>((e&(r>j))&b))))
|
(~((r|s))>e)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((s|s))>((r|j)|((((p>r)|k)&b)>k))))
|
((~(b)>c)|p)
| 1 | 1 | 0 | 0 |
entailment
|
~(((e&j)>(j>((e&(r>j))&b))))
|
((~(b)>c)|p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((s|s))>((r|j)|((((p>r)|k)&b)>k))))
|
(~((r|s))>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((r|(l>~(s))))
|
((p|((l|p)|b))|((c&~(j))&~(s)))
| 1 | 0 | 0 | 0 |
entailment
|
~((s|((s|k)|(j|c))))
|
(((s&j)>(c|~(~(p))))|(~(l)|p))
| 1 | 0 | 0 | 0 |
entailment
|
~((r|(l>~(s))))
|
(((s&j)>(c|~(~(p))))|(~(l)|p))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s|((s|k)|(j|c))))
|
((p|((l|p)|b))|((c&~(j))&~(s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&~(~(b)))
|
~((s&(r&(b>~(r)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((c&c)>e)&(c&(k|k)))&(p>~(~(j))))
|
(r>(s|(c|(k>j))))
| 1 | 1 | 0 | 0 |
entailment
|
(e&~(~(b)))
|
(r>(s|(c|(k>j))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((c&c)>e)&(c&(k|k)))&(p>~(~(j))))
|
~((s&(r&(b>~(r)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&r)
|
~((s&(~(c)&~(((e>l)|(p&(b>(r|l))))))))
| 1 | 0 | 0 | 0 |
entailment
|
((l|k)&j)
|
((p>k)>((p>s)|(p>j)))
| 1 | 0 | 0 | 0 |
entailment
|
(p&r)
|
((p>k)>((p>s)|(p>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((l|k)&j)
|
~((s&(~(c)&~(((e>l)|(p&(b>(r|l))))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((s|l)&((s>j)&k))))&((e>s)&(k>j)))
|
(p|((p|k)&((c>k)|(r|p))))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(~(s)&(r|((s>b)|r))))
|
~((s&((r&b)&r)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(((s|l)&((s>j)&k))))&((e>s)&(k>j)))
|
~((s&((r&b)&r)))
| 0 | 1 | 0 | 0 |
not entailment
|
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