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 |
|---|---|---|---|---|---|---|
~((((i>h)>f)|(~(a)>f)))
|
((i>a)|(t>f))
| 0 | 1 | 0 | 0 |
not entailment
|
((t|n)>f)
|
(((h&(i|~((t|n))))|t)>(f>(f&(t|n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(a|a)
|
((t&f)>(((t|n)&t)>(h>(a|a))))
| 1 | 0 | 0 | 0 |
entailment
|
((n|c)>~((f>f)))
|
(((n|t)&~(f))>~(c))
| 1 | 0 | 0 | 0 |
entailment
|
(a|a)
|
(((n|t)&~(f))>~(c))
| 0 | 0 | 0 | 0 |
not entailment
|
((n|c)>~((f>f)))
|
((t&f)>(((t|n)&t)>(h>(a|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s>~((a&~(i)))))
|
((~((s>((s>a)|a)))|(s&h))>(c|a))
| 1 | 0 | 0 | 0 |
entailment
|
(((c>t)|t)&~(c))
|
~(~(((c&s)>((n|(c>i))&(n>f)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((s>~((a&~(i)))))
|
~(~(((c&s)>((n|(c>i))&(n>f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c>t)|t)&~(c))
|
((~((s>((s>a)|a)))|(s&h))>(c|a))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a>~(a))|((t&c)&((a>(s|i))&(h|c)))))
|
(((t&(h>c))|(c|~(h)))>a)
| 1 | 1 | 1 | 0 |
entailment
|
~((~((~(a)>f))>~((i&c))))
|
((~(n)&s)|~(f))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a>~(a))|((t&c)&((a>(s|i))&(h|c)))))
|
((~(n)&s)|~(f))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((~(a)>f))>~((i&c))))
|
(((t&(h>c))|(c|~(h)))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
~((h>((t>~(c))>(s>f))))
|
~((~(s)&~(a)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(c))
|
(t>c)
| 1 | 1 | 0 | 0 |
entailment
|
~((h>((t>~(c))>(s>f))))
|
(t>c)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(c))
|
~((~(s)&~(a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((f>s)|h)&((s|f)&~(~((s&c)))))))
|
~((~((~((t|c))>(s>n)))&~(~(~(a)))))
| 1 | 1 | 0 | 0 |
entailment
|
((f|f)&(n|~((t|n))))
|
(f|((s&t)>((a>~((s|a)))&(t>(h|t)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((f>s)|h)&((s|f)&~(~((s&c)))))))
|
(f|((s&t)>((a>~((s|a)))&(t>(h|t)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((f|f)&(n|~((t|n))))
|
~((~((~((t|c))>(s>n)))&~(~(~(a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((a&c)&f)
|
((f&(h&f))|a)
| 1 | 0 | 0 | 0 |
entailment
|
((i&(~((c>f))>~(s)))&(~(n)&(f>n)))
|
((f&f)>n)
| 1 | 1 | 1 | 1 |
entailment
|
((a&c)&f)
|
((f&f)>n)
| 0 | 1 | 0 | 0 |
not entailment
|
((i&(~((c>f))>~(s)))&(~(n)&(f>n)))
|
((f&(h&f))|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((f|h))&(t&(~((a&c))&(i&a))))
|
(~(~((n>c)))|((a|s)&t))
| 1 | 1 | 0 | 0 |
entailment
|
(s&(((a&c)&(~(~(f))&(f>(i|s))))>(i|f)))
|
(c|s)
| 1 | 1 | 1 | 0 |
entailment
|
(~((f|h))&(t&(~((a&c))&(i&a))))
|
(c|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&(((a&c)&(~(~(f))&(f>(i|s))))>(i|f)))
|
(~(~((n>c)))|((a|s)&t))
| 0 | 1 | 0 | 0 |
not entailment
|
(((a>s)&c)&((c|n)&c))
|
(~((n&((n&h)&((h&h)>i))))>(f>c))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((a&f)>c)>(f>s)))&~(t))
|
(~(t)|a)
| 1 | 1 | 1 | 0 |
entailment
|
(((a>s)&c)&((c|n)&c))
|
(~(t)|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((a&f)>c)>(f>s)))&~(t))
|
(~((n&((n&h)&((h&h)>i))))>(f>c))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(n)>n)
|
(n&n)
| 1 | 1 | 1 | 1 |
entailment
|
(f&~(a))
|
((((f|~((n|n)))>~((f&f)))>(t>c))>(i>f))
| 1 | 0 | 0 | 0 |
entailment
|
(~(n)>n)
|
((((f|~((n|n)))>~((f&f)))>(t>c))>(i>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&~(a))
|
(n&n)
| 0 | 1 | 0 | 0 |
not entailment
|
~((n>f))
|
(f>(t&h))
| 1 | 1 | 0 | 0 |
entailment
|
((s&~(~(c)))&(i&(i|(a>i))))
|
(((h|a)|(t&a))>(s|i))
| 1 | 1 | 0 | 0 |
entailment
|
~((n>f))
|
(((h|a)|(t&a))>(s|i))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&~(~(c)))&(i&(i|(a>i))))
|
(f>(t&h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(i)&f)
|
~(i)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(t))&i)
|
((t|t)|~((s|c)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(i)&f)
|
((t|t)|~((s|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(t))&i)
|
~(i)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&~(((s>c)|(f&a))))
|
(((s>h)|f)&~((((a|(t|f))>c)&t)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((i&(a&(h|n)))>(((a|h)>i)&(f>~(t)))))
|
(i|~(n))
| 1 | 1 | 1 | 0 |
entailment
|
(h&~(((s>c)|(f&a))))
|
(i|~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i&(a&(h|n)))>(((a|h)>i)&(f>~(t)))))
|
(((s>h)|f)&~((((a|(t|f))>c)&t)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((c&t)>(~(n)|((i>~(t))|s))))
|
(((h|n)|(a|c))|(i>f))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((t|a)>(a|c)))&(s|a))
|
~((((a|(c>f))&a)&(t|f)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((c&t)>(~(n)|((i>~(t))|s))))
|
~((((a|(c>f))&a)&(t|f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((t|a)>(a|c)))&(s|a))
|
(((h|n)|(a|c))|(i>f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>n)|~((((h&a)&((n|s)|c))>f))))
|
((((c>a)|~((s&c)))|n)|(n|n))
| 1 | 1 | 1 | 0 |
entailment
|
~(((t&f)|~(t)))
|
(~(~(t))|~(((n>h)|i)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((a>n)|~((((h&a)&((n|s)|c))>f))))
|
(~(~(t))|~(((n>h)|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t&f)|~(t)))
|
((((c>a)|~((s&c)))|n)|(n|n))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(n)|h))
|
(f|~(((s&h)|f)))
| 1 | 0 | 0 | 0 |
entailment
|
((i&n)>(s&h))
|
((~(n)|(i>s))|~(~((c>a))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(n)|h))
|
((~(n)|(i>s))|~(~((c>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((i&n)>(s&h))
|
(f|~(((s&h)|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t|((f|c)&a))&(a|i)))
|
(~((t|~((f|(f>c)))))|(i>((s&t)|a)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(i))
|
(i|(~((t&(h&((s|f)>~((c&f))))))>t))
| 1 | 0 | 0 | 0 |
entailment
|
~(((t|((f|c)&a))&(a|i)))
|
(i|(~((t&(h&((s|f)>~((c&f))))))>t))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(i))
|
(~((t|~((f|(f>c)))))|(i>((s&t)|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((v&~(((e|v)&j)))))
|
(v&(v|((((v&j)&e)|j)&(j|v))))
| 1 | 0 | 1 | 0 |
entailment
|
~(e)
|
((e>~(j))>~((v&e)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((v&~(((e|v)&j)))))
|
((e>~(j))>~((v&e)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(e)
|
(v&(v|((((v&j)&e)|j)&(j|v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((v&e)>~(~(v)))&j)
|
(j&(~(((s|(v|s))|~(~(s))))>~(s)))
| 1 | 0 | 0 | 0 |
entailment
|
((s>(e|e))&(s&(~(s)>v)))
|
((v>~(~(v)))>~(~(((j&v)>e))))
| 1 | 0 | 0 | 0 |
entailment
|
(((v&e)>~(~(v)))&j)
|
((v>~(~(v)))>~(~(((j&v)>e))))
| 0 | 0 | 1 | 0 |
not entailment
|
((s>(e|e))&(s&(~(s)>v)))
|
(j&(~(((s|(v|s))|~(~(s))))>~(s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((v>~(v))&(e>v))&~((s&s)))
|
((e>j)|s)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(~(e))))
|
(~(~(e))&~((v&~(e))))
| 1 | 0 | 0 | 0 |
entailment
|
(((v>~(v))&(e>v))&~((s&s)))
|
(~(~(e))&~((v&~(e))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(~(e))))
|
((e>j)|s)
| 0 | 1 | 0 | 0 |
not entailment
|
~((e|(~((v&(s|v)))&s)))
|
((e>v)|(v|s))
| 1 | 1 | 1 | 1 |
entailment
|
(e&~(((j|s)|~(~((e>v))))))
|
(e|s)
| 1 | 1 | 1 | 0 |
entailment
|
~((e|(~((v&(s|v)))&s)))
|
(e|s)
| 0 | 1 | 1 | 0 |
not entailment
|
(e&~(((j|s)|~(~((e>v))))))
|
((e>v)|(v|s))
| 0 | 1 | 1 | 0 |
not entailment
|
((j&(s&v))&(e&(e&j)))
|
~(~(((j&j)|((~(e)>(e&j))&v))))
| 1 | 0 | 1 | 1 |
entailment
|
(~(~(~((~(~(~((s>v))))|e))))&(s>j))
|
(((s|~(v))&s)>~((j&e)))
| 1 | 1 | 1 | 0 |
entailment
|
((j&(s&v))&(e&(e&j)))
|
(((s|~(v))&s)>~((j&e)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~(~((~(~(~((s>v))))|e))))&(s>j))
|
~(~(((j&j)|((~(e)>(e&j))&v))))
| 0 | 1 | 1 | 0 |
not entailment
|
(j&(v&v))
|
(s>v)
| 1 | 1 | 0 | 0 |
entailment
|
(e&j)
|
(~((j&(v>j)))|(j>e))
| 1 | 0 | 0 | 0 |
entailment
|
(j&(v&v))
|
(~((j&(v>j)))|(j>e))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&j)
|
(s>v)
| 0 | 1 | 0 | 0 |
not entailment
|
(v&e)
|
(e|e)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~(~(~(~(v))))))&((v&~(j))&v))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
(v&e)
|
~(j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(~(~(~(v))))))&((v&~(j))&v))
|
(e|e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((v>e))
|
((s>(s>s))>(j>v))
| 1 | 0 | 0 | 0 |
entailment
|
((j&s)&(e&(e|e)))
|
((e&(v>v))|(j&v))
| 1 | 1 | 0 | 0 |
entailment
|
~((v>e))
|
((e&(v>v))|(j&v))
| 0 | 0 | 0 | 0 |
not entailment
|
((j&s)&(e&(e|e)))
|
((s>(s>s))>(j>v))
| 0 | 1 | 0 | 0 |
not entailment
|
((s>v)>(s&s))
|
((~((v&s))>(j>s))|~(((s|s)>(~(e)>j))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(~((j|e)))))&j)
|
((v|j)|(((s&s)>e)|j))
| 1 | 1 | 0 | 0 |
entailment
|
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