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 |
|---|---|---|---|---|---|---|
~((~(g)>t))
|
(((~(q)>g)>~(q))>y)
| 0 | 0 | 0 | 0 |
not entailment
|
(((q&(c|n))&(e&z))|~(((g&~(g))>e)))
|
(((t&z)>c)|(n&b))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((((y>b)>t)|~(c)))|~(g)))
|
((c&y)|g)
| 1 | 1 | 1 | 0 |
entailment
|
(((t>c)>t)&(y|n))
|
((e|(y&(q>e)))|t)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((((y>b)>t)|~(c)))|~(g)))
|
((e|(y&(q>e)))|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(((t>c)>t)&(y|n))
|
((c&y)|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((i|m))
|
((h&m)>(h>i))
| 1 | 0 | 0 | 0 |
entailment
|
((((m>i)&h)&h)>(~(~((i|h)))&(h>m)))
|
~(((i>m)&~((((h>m)&m)|((h|h)>m)))))
| 1 | 1 | 1 | 0 |
entailment
|
~((i|m))
|
~(((i>m)&~((((h>m)&m)|((h|h)>m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((m>i)&h)&h)>(~(~((i|h)))&(h>m)))
|
((h&m)>(h>i))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(h)))
|
~(h)
| 1 | 1 | 1 | 1 |
entailment
|
((i>(~(m)>~(i)))&i)
|
(h|m)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(h)))
|
(h|m)
| 0 | 1 | 0 | 0 |
not entailment
|
((i>(~(m)>~(i)))&i)
|
~(h)
| 0 | 1 | 0 | 0 |
not entailment
|
((i&m)|~((h|m)))
|
(~(h)|(m|i))
| 1 | 1 | 1 | 1 |
entailment
|
((h&(h&h))&((m&h)>h))
|
((((m>~(h))&h)|h)|((i>m)|((h|m)|h)))
| 1 | 0 | 0 | 0 |
entailment
|
((i&m)|~((h|m)))
|
((((m>~(h))&h)|h)|((i>m)|((h|m)|h)))
| 0 | 0 | 1 | 0 |
not entailment
|
((h&(h&h))&((m&h)>h))
|
(~(h)|(m|i))
| 0 | 1 | 0 | 0 |
not entailment
|
(m>~((((h|h)>m)|(((i|h)&~(h))|(i|h)))))
|
(((((i&h)|m)>m)&((m|h)&m))>i)
| 1 | 1 | 1 | 0 |
entailment
|
((h|i)&h)
|
(i|h)
| 1 | 1 | 1 | 1 |
entailment
|
(m>~((((h|h)>m)|(((i|h)&~(h))|(i|h)))))
|
(i|h)
| 0 | 1 | 1 | 0 |
not entailment
|
((h|i)&h)
|
(((((i&h)|m)>m)&((m|h)&m))>i)
| 0 | 0 | 0 | 0 |
not entailment
|
(((m&m)|m)&i)
|
((i|m)>(i|i))
| 1 | 1 | 1 | 0 |
entailment
|
~((h|((h|m)>i)))
|
(~(h)&(~((i&~(i)))|h))
| 1 | 0 | 1 | 0 |
entailment
|
(((m&m)|m)&i)
|
(~(h)&(~((i&~(i)))|h))
| 0 | 0 | 0 | 0 |
not entailment
|
~((h|((h|m)>i)))
|
((i|m)>(i|i))
| 0 | 1 | 1 | 0 |
not entailment
|
(i&(((i&i)|i)|~((i|i))))
|
((h>i)&(h>(m>i)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((((h>m)|m)&h)))
|
(h|h)
| 1 | 1 | 1 | 1 |
entailment
|
(i&(((i&i)|i)|~((i|i))))
|
(h|h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((((h>m)|m)&h)))
|
((h>i)&(h>(m>i)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((m&m)&m)&i)
|
(((i|(h&(i&m)))&i)|(m|h))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(i)|h)>h))
|
((i>i)&~(i))
| 1 | 1 | 1 | 0 |
entailment
|
(((m&m)&m)&i)
|
((i>i)&~(i))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(i)|h)>h))
|
(((i|(h&(i&m)))&i)|(m|h))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(h))|h)>i)
|
(((m&h)|i)>i)
| 1 | 1 | 0 | 0 |
entailment
|
((((m|i)>(i>m))>(m&((h&m)>h)))&(h&m))
|
((m>~(m))>((i&i)&(h&i)))
| 1 | 1 | 1 | 1 |
entailment
|
((~(~(h))|h)>i)
|
((m>~(m))>((i&i)&(h&i)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((m|i)>(i>m))>(m&((h&m)>h)))&(h&m))
|
(((m&h)|i)>i)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((h&(i|(i&m))))|m))
|
((m>(i|i))&~((~(~(m))&(h&~(m)))))
| 1 | 0 | 1 | 0 |
entailment
|
(m&~(i))
|
(m|m)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((h&(i|(i&m))))|m))
|
(m|m)
| 0 | 1 | 1 | 1 |
not entailment
|
(m&~(i))
|
((m>(i|i))&~((~(~(m))&(h&~(m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((m&i)&i)
|
(m|(((h&~(m))&m)&~(i)))
| 1 | 0 | 0 | 0 |
entailment
|
~((m|(i|h)))
|
~(((h>h)&((h&(~(h)|i))&((h&h)|i))))
| 1 | 0 | 1 | 0 |
entailment
|
((m&i)&i)
|
~(((h>h)&((h&(~(h)|i))&((h&h)|i))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m|(i|h)))
|
(m|(((h&~(m))&m)&~(i)))
| 0 | 0 | 1 | 0 |
not entailment
|
((m&m)&i)
|
(m>i)
| 1 | 1 | 1 | 0 |
entailment
|
(h&(h&(m&h)))
|
((i>(i&h))|(h&h))
| 1 | 0 | 0 | 0 |
entailment
|
((m&m)&i)
|
((i>(i&h))|(h&h))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(h&(m&h)))
|
(m>i)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((i>h)&(m&~(m))))>~(((i&i)>(m&h))))
|
~((h&~((i|~(m)))))
| 1 | 1 | 1 | 1 |
entailment
|
((~(m)|(i|(m>h)))&(((m>h)|i)&h))
|
(((i|~((m|m)))>(h&(i>(h&h))))|m)
| 1 | 1 | 1 | 0 |
entailment
|
(~(((i>h)&(m&~(m))))>~(((i&i)>(m&h))))
|
(((i|~((m|m)))>(h&(i>(h&h))))|m)
| 0 | 1 | 1 | 1 |
not entailment
|
((~(m)|(i|(m>h)))&(((m>h)|i)&h))
|
~((h&~((i|~(m)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((i&m)&(m&~(h)))
|
((((~(m)&h)|(m>(i|i)))>m)&i)
| 1 | 0 | 1 | 0 |
entailment
|
(((h>(m>m))&i)&~((h|m)))
|
((h&i)|(h|~(((h>h)>(m&(i|i))))))
| 1 | 0 | 1 | 0 |
entailment
|
((i&m)&(m&~(h)))
|
((h&i)|(h|~(((h>h)>(m&(i|i))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((h>(m>m))&i)&~((h|m)))
|
((((~(m)&h)|(m>(i|i)))>m)&i)
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(m)&(i>(h>((h&h)|i)))))
|
((i>(h>((i|h)>(i|h))))&m)
| 1 | 1 | 1 | 1 |
entailment
|
(((i|(i|i))&(~((i|h))>(h|m)))&h)
|
(~((m>h))>(i>(m&(~(m)&((i>m)&m)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(m)&(i>(h>((h&h)|i)))))
|
(~((m>h))>(i>(m&(~(m)&((i>m)&m)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((i|(i|i))&(~((i|h))>(h|m)))&h)
|
((i>(h>((i|h)>(i|h))))&m)
| 0 | 1 | 1 | 0 |
not entailment
|
(((i&m)&h)&((m|(h&i))>(~(m)|((i&i)&m))))
|
((h|h)>((~((h|(i|m)))|m)|(i>~(h))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((h&(h|(i&h)))>m))
|
~(~((~((i&(m>m)))|~(m))))
| 1 | 0 | 1 | 0 |
entailment
|
(((i&m)&h)&((m|(h&i))>(~(m)|((i&i)&m))))
|
~(~((~((i&(m>m)))|~(m))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((h&(h|(i&h)))>m))
|
((h|h)>((~((h|(i|m)))|m)|(i>~(h))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(h)
|
((~(h)|i)|m)
| 1 | 0 | 0 | 0 |
entailment
|
(~((i|((h>~(m))>i)))>h)
|
(~(~(h))|(i|m))
| 1 | 1 | 1 | 1 |
entailment
|
~(h)
|
(~(~(h))|(i|m))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((i|((h>~(m))>i)))>h)
|
((~(h)|i)|m)
| 0 | 1 | 1 | 0 |
not entailment
|
(m&m)
|
((m&m)|((~(m)&i)>m))
| 1 | 0 | 0 | 0 |
entailment
|
(i&(h&(m|~((m|m)))))
|
~(~((h>i)))
| 1 | 1 | 1 | 0 |
entailment
|
(m&m)
|
~(~((h>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(h&(m|~((m|m)))))
|
((m&m)|((~(m)&i)>m))
| 0 | 1 | 1 | 0 |
not entailment
|
((g>~((((c|y)&c)|g)))&((u>c)|y))
|
((((b|n)>n)&(g&~((n&m))))>s)
| 1 | 1 | 0 | 0 |
entailment
|
((u&f)&(c&(f|(u>(b&b)))))
|
(~(~(~(~((u&(~((s|m))|f))))))|g)
| 1 | 0 | 0 | 0 |
entailment
|
((g>~((((c|y)&c)|g)))&((u>c)|y))
|
(~(~(~(~((u&(~((s|m))|f))))))|g)
| 0 | 0 | 0 | 0 |
not entailment
|
((u&f)&(c&(f|(u>(b&b)))))
|
((((b|n)>n)&(g&~((n&m))))>s)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(m)|m)|c)&((b|u)>c)))
|
(~(c)|(g>(m&(m>~((u&n))))))
| 1 | 1 | 0 | 0 |
entailment
|
(((b&~(y))&~(((g>(y&f))|s)))&~((n|s)))
|
((m|(s&f))>g)
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(m)|m)|c)&((b|u)>c)))
|
((m|(s&f))>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(((b&~(y))&~(((g>(y&f))|s)))&~((n|s)))
|
(~(c)|(g>(m&(m>~((u&n))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|((g>(b&m))>m)))
|
(g>u)
| 1 | 1 | 0 | 0 |
entailment
|
(f&n)
|
((u|u)|(b|(~(b)>f)))
| 1 | 0 | 0 | 0 |
entailment
|
~((y|((g>(b&m))>m)))
|
((u|u)|(b|(~(b)>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&n)
|
(g>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((c|(((~(c)&u)|u)>(s|~((m&~(n)))))))
|
~((s&(~((y>((n>f)|(n|s))))|b)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(m)&u)&b)
|
~(~(~(~(((n|(u&b))|n)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((c|(((~(c)&u)|u)>(s|~((m&~(n)))))))
|
~(~(~(~(((n|(u&b))|n)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(m)&u)&b)
|
~((s&(~((y>((n>f)|(n|s))))|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((y|g)>~((b>b))))>(s>(s>(n&b)))))
|
(((m|c)|f)|(~(s)>~(b)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((n>(((b>(u>s))&g)&(y&y))))&(n|(y|c)))
|
(~(g)|(u|((((c&(f>u))&m)>n)>n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((y|g)>~((b>b))))>(s>(s>(n&b)))))
|
(~(g)|(u|((((c&(f>u))&m)>n)>n)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((n>(((b>(u>s))&g)&(y&y))))&(n|(y|c)))
|
(((m|c)|f)|(~(s)>~(b)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((u|(b&f)))&((u&n)|y))
|
~((u&((~(b)|b)|y)))
| 1 | 1 | 1 | 0 |
entailment
|
((b|(c>~(m)))&b)
|
(n|((y|(s|(n|f)))>((g>(m|b))|s)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((u|(b&f)))&((u&n)|y))
|
(n|((y|(s|(n|f)))>((g>(m|b))|s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|(c>~(m)))&b)
|
~((u&((~(b)|b)|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(u)|~((g|(b>b))))
|
((((u|b)&b)|((n>y)|g))|((s>(u>c))&n))
| 1 | 0 | 0 | 0 |
entailment
|
~(((c|(~((s|~(y)))>(s&y)))>y))
|
((f&m)|(~(y)|(f&~(m))))
| 1 | 1 | 0 | 0 |
entailment
|
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