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 |
---|---|---|---|---|---|---|
((x&(l|u))&y)
|
(((j&(r&x))|~((~(l)|h)))|~(~((u|x))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((s|((j&n)>k)))&j)
|
(k>((x&j)&r))
| 1 | 1 | 0 | 0 |
entailment
|
((x&(l|u))&y)
|
(k>((x&j)&r))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((s|((j&n)>k)))&j)
|
(((j&(r&x))|~((~(l)|h)))|~(~((u|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(j)&(~(x)&~((h|(j|(r|n))))))|k)
|
(~((~((l>(n|k)))|~(j)))|(h>(j>x)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((r&j)>~(~(((u>u)&(u|~(~(k))))))))
|
(x|r)
| 1 | 1 | 0 | 0 |
entailment
|
((~(j)&(~(x)&~((h|(j|(r|n))))))|k)
|
(x|r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((r&j)>~(~(((u>u)&(u|~(~(k))))))))
|
(~((~((l>(n|k)))|~(j)))|(h>(j>x)))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|((t>t)&(t&s)))&((s>(t|t))&(s|t)))
|
((s&t)|~(~(s)))
| 1 | 1 | 1 | 1 |
entailment
|
(((t|s)|(s|t))>~(((s&(t>(t&t)))>(t|s))))
|
~((~(~((s>t)))&t))
| 1 | 1 | 1 | 1 |
entailment
|
((s|((t>t)&(t&s)))&((s>(t|t))&(s|t)))
|
~((~(~((s>t)))&t))
| 0 | 1 | 1 | 1 |
not entailment
|
(((t|s)|(s|t))>~(((s&(t>(t&t)))>(t|s))))
|
((s&t)|~(~(s)))
| 0 | 1 | 1 | 1 |
not entailment
|
((s|t)&t)
|
((t|t)&((t|s)>~((~(t)&(s&t)))))
| 1 | 0 | 1 | 0 |
entailment
|
((s>~((s|(t&t))))&~(((t|s)&t)))
|
~(~((~(t)&~(s))))
| 1 | 1 | 1 | 1 |
entailment
|
((s|t)&t)
|
~(~((~(t)&~(s))))
| 0 | 0 | 1 | 0 |
not entailment
|
((s>~((s|(t&t))))&~(((t|s)&t)))
|
((t|t)&((t|s)>~((~(t)&(s&t)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(t&t)
|
(s|(t&t))
| 1 | 0 | 0 | 0 |
entailment
|
~(((t&s)|t))
|
(s|(t>(((s&(t|~(s)))|s)&~(t))))
| 1 | 0 | 1 | 0 |
entailment
|
(t&t)
|
(s|(t>(((s&(t|~(s)))|s)&~(t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t&s)|t))
|
(s|(t&t))
| 0 | 1 | 1 | 0 |
not entailment
|
(s&t)
|
((s>t)|t)
| 1 | 0 | 1 | 0 |
entailment
|
((t>t)>~(((s&(t>s))>(t&(s>t)))))
|
(((t&(s&s))>(s>s))&(s>~((t|t))))
| 1 | 1 | 1 | 0 |
entailment
|
(s&t)
|
(((t&(s&s))>(s>s))&(s>~((t|t))))
| 0 | 0 | 1 | 0 |
not entailment
|
((t>t)>~(((s&(t>s))>(t&(s>t)))))
|
((s>t)|t)
| 0 | 1 | 1 | 0 |
not entailment
|
~((t>s))
|
(~(~(~(s)))|((s&t)&(s&((s&t)|t))))
| 1 | 0 | 1 | 0 |
entailment
|
(s&(((s|t)|t)>s))
|
((s>s)&s)
| 1 | 1 | 1 | 1 |
entailment
|
~((t>s))
|
((s>s)&s)
| 0 | 1 | 1 | 0 |
not entailment
|
(s&(((s|t)|t)>s))
|
(~(~(~(s)))|((s&t)&(s&((s&t)|t))))
| 0 | 0 | 1 | 0 |
not entailment
|
((t&t)&(s|s))
|
(~(~(t))&((t&(s&s))>s))
| 1 | 0 | 1 | 0 |
entailment
|
~(s)
|
~(((s|s)&t))
| 1 | 0 | 0 | 0 |
entailment
|
((t&t)&(s|s))
|
~(((s|s)&t))
| 0 | 1 | 1 | 0 |
not entailment
|
~(s)
|
(~(~(t))&((t&(s&s))>s))
| 0 | 0 | 0 | 0 |
not entailment
|
(((t&s)|s)&(t|(s|(s&s))))
|
(t|s)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((~(s)&~((s&t)))|~((s|s)))))
|
((s&((s|t)>s))>t)
| 1 | 1 | 1 | 0 |
entailment
|
(((t&s)|s)&(t|(s|(s&s))))
|
((s&((s|t)>s))>t)
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((~(s)&~((s&t)))|~((s|s)))))
|
(t|s)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((~(t)>t)|s)>s))
|
((t>(t&t))&t)
| 1 | 1 | 1 | 0 |
entailment
|
(s|(~(~(s))|s))
|
((~(((t&s)|t))|s)|(s|(t&s)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~(t)>t)|s)>s))
|
((~(((t&s)|t))|s)|(s|(t&s)))
| 0 | 0 | 1 | 0 |
not entailment
|
(s|(~(~(s))|s))
|
((t>(t&t))&t)
| 0 | 1 | 0 | 0 |
not entailment
|
(t|t)
|
(t|t)
| 1 | 1 | 1 | 1 |
entailment
|
(s|s)
|
(~(((s&s)>~(t)))|(~(~(s))&(s|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(t|t)
|
(~(((s&s)>~(t)))|(~(~(s))&(s|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s|s)
|
(t|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&((t&s)|(t|s)))
|
(((s>((s>s)>s))>t)|t)
| 1 | 0 | 1 | 0 |
entailment
|
(s|(t&s))
|
(((s|t)|(s|t))>(t>s))
| 1 | 0 | 1 | 0 |
entailment
|
(t&((t&s)|(t|s)))
|
(((s|t)|(s|t))>(t>s))
| 0 | 0 | 1 | 0 |
not entailment
|
(s|(t&s))
|
(((s>((s>s)>s))>t)|t)
| 0 | 0 | 1 | 0 |
not entailment
|
((s&(s|s))&t)
|
(t&s)
| 1 | 1 | 1 | 1 |
entailment
|
(s&~(t))
|
(t>~((t&(s|(s|(t&s))))))
| 1 | 0 | 1 | 0 |
entailment
|
((s&(s|s))&t)
|
(t>~((t&(s|(s|(t&s))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(s&~(t))
|
(t&s)
| 0 | 1 | 1 | 0 |
not entailment
|
((s&t)|t)
|
(s>(((s|s)&t)&t))
| 1 | 0 | 1 | 0 |
entailment
|
(((t>t)&(t>(~((s>(s|s)))>(t&t))))&s)
|
(~(((~(s)>s)&t))>(~((t>(s|t)))|s))
| 1 | 1 | 1 | 1 |
entailment
|
((s&t)|t)
|
(~(((~(s)>s)&t))>(~((t>(s|t)))|s))
| 0 | 0 | 1 | 0 |
not entailment
|
(((t>t)&(t>(~((s>(s|s)))>(t&t))))&s)
|
(s>(((s|s)&t)&t))
| 0 | 1 | 1 | 1 |
not entailment
|
(t|s)
|
((((t>t)&(s|s))>s)>(s|t))
| 1 | 0 | 1 | 0 |
entailment
|
(((((t>s)>s)>(s&s))|s)&~((~(t)>s)))
|
(t>~((~(t)|(s|t))))
| 1 | 1 | 1 | 0 |
entailment
|
(t|s)
|
(t>~((~(t)|(s|t))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((((t>s)>s)>(s&s))|s)&~((~(t)>s)))
|
((((t>t)&(s|s))>s)>(s|t))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(t)&s))
|
~(~(((s>~((t|s)))|(~((s|t))|t))))
| 1 | 0 | 1 | 0 |
entailment
|
~(t)
|
(t>(((t|s)&t)&s))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(t)&s))
|
(t>(((t|s)&t)&s))
| 0 | 0 | 1 | 0 |
not entailment
|
~(t)
|
~(~(((s>~((t|s)))|(~((s|t))|t))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(h)|f)
|
((h>m)|(~(b)|(~((b|d))|f)))
| 1 | 0 | 0 | 0 |
entailment
|
(o&~(((o&y)>e)))
|
(m|(((m>e)&o)&(~(b)>y)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(h)|f)
|
(m|(((m>e)&o)&(~(b)>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&~(((o&y)>e)))
|
((h>m)|(~(b)|(~((b|d))|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((e|(o>(d|~(f)))))
|
~((~((d|(y&(y&h))))&e))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((~((m>~(y)))&f)&f)))
|
(~(((y>m)|(e|(e&y))))>~(f))
| 1 | 1 | 0 | 0 |
entailment
|
~((e|(o>(d|~(f)))))
|
(~(((y>m)|(e|(e&y))))>~(f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((~((m>~(y)))&f)&f)))
|
~((~((d|(y&(y&h))))&e))
| 0 | 1 | 0 | 0 |
not entailment
|
(y&~((d|f)))
|
(y|y)
| 1 | 1 | 1 | 1 |
entailment
|
~((((f|y)&h)>((h>b)|(~(f)&h))))
|
~(b)
| 1 | 1 | 1 | 1 |
entailment
|
(y&~((d|f)))
|
~(b)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f|y)&h)>((h>b)|(~(f)&h))))
|
(y|y)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((~(m)|(h|e))>(((m>b)&e)>b)))
|
((b|f)|e)
| 1 | 1 | 0 | 0 |
entailment
|
(h&(~(y)&o))
|
(h|~(((d|m)>(y&m))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(m)|(h|e))>(((m>b)&e)>b)))
|
(h|~(((d|m)>(y&m))))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&(~(y)&o))
|
((b|f)|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&e)
|
(e|f)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((f&(m|o)))))
|
((~(m)|(y|d))|~((((o|b)>y)&f)))
| 1 | 0 | 0 | 0 |
entailment
|
(h&e)
|
((~(m)|(y|d))|~((((o|b)>y)&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((f&(m|o)))))
|
(e|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(m)&~(y))
|
(m>e)
| 1 | 1 | 0 | 0 |
entailment
|
~(d)
|
(f|(d>(m&o)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(m)&~(y))
|
(f|(d>(m&o)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(d)
|
(m>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>(y>m)))
|
(b>(~(m)&d))
| 1 | 1 | 0 | 0 |
entailment
|
(b&(~((d&d))&e))
|
((((y>m)|e)&(y>(m|d)))|((o|h)|(d>~(b))))
| 1 | 0 | 0 | 0 |
entailment
|
~((d>(y>m)))
|
((((y>m)|e)&(y>(m|d)))|((o|h)|(d>~(b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(~((d&d))&e))
|
(b>(~(m)&d))
| 0 | 1 | 0 | 0 |
not entailment
|
((h|(~(~(e))&e))&(d|(h&d)))
|
(((~((e&b))&~((b&m)))>((o&(y>f))>f))|d)
| 1 | 0 | 0 | 0 |
entailment
|
~(((m|m)>(~((((h&f)|d)>b))&b)))
|
((d|b)>m)
| 1 | 1 | 1 | 1 |
entailment
|
((h|(~(~(e))&e))&(d|(h&d)))
|
((d|b)>m)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((m|m)>(~((((h&f)|d)>b))&b)))
|
(((~((e&b))&~((b&m)))>((o&(y>f))>f))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((b&o)&(h&(m|y)))))
|
((h|(h|d))>o)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(h)>(f>e)))
|
~(~(~((b&e))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((b&o)&(h&(m|y)))))
|
~(~(~((b&e))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(h)>(f>e)))
|
((h|(h|d))>o)
| 0 | 1 | 0 | 0 |
not entailment
|
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