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 |
|---|---|---|---|---|---|---|
((q&((x>e)|q))&((x>q)&~(~(x))))
|
((x|(q>q))&q)
| 1 | 1 | 1 | 0 |
entailment
|
((e&~((e>q)))|((e&e)&q))
|
((x|(q>q))&q)
| 0 | 1 | 0 | 0 |
not entailment
|
((q&((x>e)|q))&((x>q)&~(~(x))))
|
(~(((x&q)>q))|e)
| 0 | 1 | 1 | 0 |
not entailment
|
(x&((~(x)>e)>(q&e)))
|
((((e|(q|x))>e)&~(x))|((x&q)&q))
| 1 | 0 | 1 | 0 |
entailment
|
~((x|(((x>(x|x))>x)|e)))
|
~((x&(~((e&e))>q)))
| 1 | 1 | 0 | 0 |
entailment
|
(x&((~(x)>e)>(q&e)))
|
~((x&(~((e&e))>q)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((x|(((x>(x|x))>x)|e)))
|
((((e|(q|x))>e)&~(x))|((x&q)&q))
| 0 | 0 | 0 | 0 |
not entailment
|
~((q>~((e|x))))
|
(~(~(q))|((e>q)&(e>(q|e))))
| 1 | 0 | 1 | 0 |
entailment
|
((((q|x)|x)>((x|e)|e))&(q>(e>x)))
|
(~(((q|(q|q))&q))|(((e&q)>q)>x))
| 1 | 1 | 1 | 0 |
entailment
|
~((q>~((e|x))))
|
(~(((q|(q|q))&q))|(((e&q)>q)>x))
| 0 | 0 | 1 | 0 |
not entailment
|
((((q|x)|x)>((x|e)|e))&(q>(e>x)))
|
(~(~(q))|((e>q)&(e>(q|e))))
| 0 | 1 | 1 | 0 |
not entailment
|
(r&(w&(a|a)))
|
((i&((a>a)>u))>(r|w))
| 1 | 0 | 0 | 0 |
entailment
|
(c&q)
|
(((r>i)|q)|((v&a)>~(~((w>i)))))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(w&(a|a)))
|
(((r>i)|q)|((v&a)>~(~((w>i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&q)
|
((i&((a>a)>u))>(r|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(c|~(~(~(v))))
|
((w|((v&u)|~((c|v))))|(~(q)>c))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((a|~((((r&a)&a)>t)))))
|
(~(t)>a)
| 1 | 1 | 1 | 0 |
entailment
|
(c|~(~(~(v))))
|
(~(t)>a)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((a|~((((r&a)&a)>t)))))
|
((w|((v&u)|~((c|v))))|(~(q)>c))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&w)&(i>a))
|
(((q>a)>(w>u))>((u&u)|~(i)))
| 1 | 0 | 0 | 0 |
entailment
|
((w&q)&(c&t))
|
(t|q)
| 1 | 1 | 1 | 1 |
entailment
|
((w&w)&(i>a))
|
(t|q)
| 0 | 1 | 0 | 0 |
not entailment
|
((w&q)&(c&t))
|
(((q>a)>(w>u))>((u&u)|~(i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(q)|~(q))|i))
|
((v|q)|~(~((((t&i)&~(v))&~((c>q))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((q&(r|~(q)))&~(r))&t)|(r>q)))
|
((i|t)>(q>(t>(w&c))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(q)|~(q))|i))
|
((i|t)>(q>(t>(w&c))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((q&(r|~(q)))&~(r))&t)|(r>q)))
|
((v|q)|~(~((((t&i)&~(v))&~((c>q))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(t)&(v|q)))
|
(((v>((~((q>~(q)))>w)>r))|t)|w)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((v|~(w))>((w&v)&i)))&i)
|
~(((q&(t>r))&(w&r)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(t)&(v|q)))
|
~(((q&(t>r))&(w&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((v|~(w))>((w&v)&i)))&i)
|
(((v>((~((q>~(q)))>w)>r))|t)|w)
| 0 | 0 | 0 | 0 |
not entailment
|
((r&t)|r)
|
(((c|v)>(~((r|a))>c))|~((i&~((a&v)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((c>(w>t)))|q))
|
(q>(((c>q)>i)&(q>u)))
| 1 | 1 | 0 | 0 |
entailment
|
((r&t)|r)
|
(q>(((c>q)>i)&(q>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((c>(w>t)))|q))
|
(((c|v)>(~((r|a))>c))|~((i&~((a&v)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((c&(((i|u)&u)|~((t|r))))&a)
|
((a&c)&((((w>r)&~(c))>((q>i)|w))|v))
| 1 | 0 | 0 | 0 |
entailment
|
((((c>i)&q)>v)&~(r))
|
(i|~(((c|~((i>t)))&r)))
| 1 | 0 | 0 | 0 |
entailment
|
((c&(((i|u)&u)|~((t|r))))&a)
|
(i|~(((c|~((i>t)))&r)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((c>i)&q)>v)&~(r))
|
((a&c)&((((w>r)&~(c))>((q>i)|w))|v))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((i>(a>t)))&~((~(r)>u)))
|
((((r|c)&a)&(u&(u>~(c))))>t)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((v|w)|i)&~((v>i)))>(q>(t&c))))
|
((q&w)|(~(i)|(~((q>(c&q)))&(q>a))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((i>(a>t)))&~((~(r)>u)))
|
((q&w)|(~(i)|(~((q>(c&q)))&(q>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((v|w)|i)&~((v>i)))>(q>(t&c))))
|
((((r|c)&a)&(u&(u>~(c))))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((v>~(u))>q)>((v>c)|(((a>r)|a)>u))))
|
(u|q)
| 1 | 1 | 1 | 1 |
entailment
|
((c&~(v))&~(a))
|
((~(a)&~(~(((a|t)&i))))>(w|c))
| 1 | 0 | 0 | 0 |
entailment
|
~((((v>~(u))>q)>((v>c)|(((a>r)|a)>u))))
|
((~(a)&~(~(((a|t)&i))))>(w|c))
| 0 | 1 | 0 | 0 |
not entailment
|
((c&~(v))&~(a))
|
(u|q)
| 0 | 1 | 0 | 0 |
not entailment
|
((q&u)|q)
|
((u&i)>q)
| 1 | 1 | 0 | 0 |
entailment
|
((i&w)&((r|w)|((u>q)&~((w>w)))))
|
(((c>(w&((w|a)&u)))&(a&u))|(a>i))
| 1 | 1 | 0 | 0 |
entailment
|
((q&u)|q)
|
(((c>(w&((w|a)&u)))&(a&u))|(a>i))
| 0 | 0 | 0 | 0 |
not entailment
|
((i&w)&((r|w)|((u>q)&~((w>w)))))
|
((u&i)>q)
| 0 | 1 | 1 | 0 |
not entailment
|
((((~(r)&a)>(a|c))|(t>i))&q)
|
(i>q)
| 1 | 1 | 1 | 0 |
entailment
|
~(((t|a)|~((i>(v|a)))))
|
~(((t|c)&~(((w&c)|c))))
| 1 | 1 | 0 | 0 |
entailment
|
((((~(r)&a)>(a|c))|(t>i))&q)
|
~(((t|c)&~(((w&c)|c))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t|a)|~((i>(v|a)))))
|
(i>q)
| 0 | 1 | 0 | 0 |
not entailment
|
(((r|t)&((r&(v|a))&w))&(u&c))
|
((u&r)|q)
| 1 | 1 | 0 | 0 |
entailment
|
~(((a&~(u))>~((u>(r&v)))))
|
(u>(~((r&v))&i))
| 1 | 1 | 0 | 0 |
entailment
|
(((r|t)&((r&(v|a))&w))&(u&c))
|
(u>(~((r&v))&i))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a&~(u))>~((u>(r&v)))))
|
((u&r)|q)
| 0 | 1 | 0 | 0 |
not entailment
|
(((i&a)&t)|(c&c))
|
((c|i)|v)
| 1 | 1 | 0 | 0 |
entailment
|
(((r|a)>~((a|q)))&(w>(((q&v)|t)&(q>i))))
|
~(~(~(~((((a>t)|r)|~((a|t)))))))
| 1 | 1 | 1 | 0 |
entailment
|
(((i&a)&t)|(c&c))
|
~(~(~(~((((a>t)|r)|~((a|t)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r|a)>~((a|q)))&(w>(((q&v)|t)&(q>i))))
|
((c|i)|v)
| 0 | 1 | 0 | 0 |
not entailment
|
((v>((u>v)|u))&(c&t))
|
(r>c)
| 1 | 1 | 0 | 0 |
entailment
|
~(((a|w)|v))
|
(((q|w)>a)|((c>(u&c))>~((q>a))))
| 1 | 0 | 0 | 0 |
entailment
|
((v>((u>v)|u))&(c&t))
|
(((q|w)>a)|((c>(u&c))>~((q>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a|w)|v))
|
(r>c)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((u|i)|i))>r)
|
(u|((t>(~(w)|(a>i)))|(r&(w&r))))
| 1 | 0 | 0 | 0 |
entailment
|
~((c|(v&v)))
|
(v>u)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((u|i)|i))>r)
|
(v>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((c|(v&v)))
|
(u|((t>(~(w)|(a>i)))|(r&(w&r))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((q>((u>r)|i))&w)|(t>i))&(q&v))
|
(a|v)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(q)>q)>((~((w>w))|t)>a)))
|
((w&(u&a))>t)
| 1 | 1 | 0 | 0 |
entailment
|
((((q>((u>r)|i))&w)|(t>i))&(q&v))
|
((w&(u&a))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(q)>q)>((~((w>w))|t)>a)))
|
(a|v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((p&x)>~((p|c))))
|
~(~(~(~(x))))
| 1 | 1 | 1 | 1 |
entailment
|
(((n&c)|(x>y))&((x>y)>y))
|
((a>a)>((j|n)|y))
| 1 | 1 | 0 | 0 |
entailment
|
~(((p&x)>~((p|c))))
|
((a>a)>((j|n)|y))
| 0 | 1 | 0 | 0 |
not entailment
|
(((n&c)|(x>y))&((x>y)>y))
|
~(~(~(~(x))))
| 0 | 1 | 1 | 1 |
not entailment
|
((p>(((p&~((a&p)))|t)&((p|x)>t)))>p)
|
((p|t)|p)
| 1 | 1 | 1 | 0 |
entailment
|
~((a>y))
|
((p>p)>~(~((((j>x)|((n|x)>x))|a))))
| 1 | 0 | 0 | 0 |
entailment
|
((p>(((p&~((a&p)))|t)&((p|x)>t)))>p)
|
((p>p)>~(~((((j>x)|((n|x)>x))|a))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((a>y))
|
((p|t)|p)
| 0 | 1 | 0 | 0 |
not entailment
|
((((c>c)>x)|~((y|(a&x))))&c)
|
(((p>y)>a)|((p>(a&x))>c))
| 1 | 1 | 0 | 0 |
entailment
|
(~(c)&~(((a>n)>(x>c))))
|
~(~((((p&c)&((y>(y|t))|p))>(n>a))))
| 1 | 0 | 0 | 0 |
entailment
|
((((c>c)>x)|~((y|(a&x))))&c)
|
~(~((((p&c)&((y>(y|t))|p))>(n>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(c)&~(((a>n)>(x>c))))
|
(((p>y)>a)|((p>(a&x))>c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((y&c)|(y&c))|(j&t))|n)|t))
|
(((c&a)|((p|(j|p))|(c&j)))|(t>j))
| 1 | 1 | 0 | 0 |
entailment
|
((a>~(n))&c)
|
((c|p)|(((n>(j|a))>~(a))&y))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((y&c)|(y&c))|(j&t))|n)|t))
|
((c|p)|(((n>(j|a))>~(a))&y))
| 0 | 1 | 0 | 0 |
not entailment
|
((a>~(n))&c)
|
(((c&a)|((p|(j|p))|(c&j)))|(t>j))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&((j|~(n))&(a&p)))
|
((~((~(c)>p))|n)|(p&t))
| 1 | 0 | 0 | 0 |
entailment
|
(t&~(~((a>(c>y)))))
|
(x|(y>t))
| 1 | 1 | 0 | 0 |
entailment
|
(n&((j|~(n))&(a&p)))
|
(x|(y>t))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&~(~((a>(c>y)))))
|
((~((~(c)>p))|n)|(p&t))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j>(c>p)))
|
((p|((x>a)&(a>j)))|~(((y&~((t>c)))&t)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(~((t&(p|x)))))|(p|(n&n))))
|
((x|(t&y))&(~(~((t&j)))>(j&t)))
| 1 | 1 | 0 | 0 |
entailment
|
~((j>(c>p)))
|
((x|(t&y))&(~(~((t&j)))>(j&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(~((t&(p|x)))))|(p|(n&n))))
|
((p|((x>a)&(a>j)))|~(((y&~((t>c)))&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(c)
|
~(c)
| 1 | 1 | 1 | 1 |
entailment
|
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