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 |
|---|---|---|---|---|---|---|
(((u|y)|y)&(y>(y&z)))
|
((~(((y>~(h))&z))|u)>h)
| 0 | 0 | 0 | 0 |
not entailment
|
(h&u)
|
(u|u)
| 1 | 1 | 1 | 1 |
entailment
|
~((h|y))
|
((h|(y&u))>z)
| 1 | 0 | 0 | 0 |
entailment
|
(h&u)
|
((h|(y&u))>z)
| 0 | 0 | 0 | 0 |
not entailment
|
~((h|y))
|
(u|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(z&y)
|
~(~(y))
| 1 | 0 | 1 | 1 |
entailment
|
(~(~((h>((~((u&u))>(h|z))&u))))&h)
|
(~((((y&u)|((y&y)|(y&z)))>(z|y)))|h)
| 1 | 1 | 0 | 0 |
entailment
|
(z&y)
|
(~((((y&u)|((y&y)|(y&z)))>(z|y)))|h)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((h>((~((u&u))>(h|z))&u))))&h)
|
~(~(y))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&z)
|
((h|z)|((z>h)>~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
(((((z>y)&y)>u)&((h>h)&y))&u)
|
((y|z)&y)
| 1 | 1 | 1 | 1 |
entailment
|
(h&z)
|
((y|z)&y)
| 0 | 0 | 0 | 0 |
not entailment
|
(((((z>y)&y)>u)&((h>h)&y))&u)
|
((h|z)|((z>h)>~(y)))
| 0 | 1 | 1 | 1 |
not entailment
|
(u&h)
|
((u&~((z>(u>u))))|u)
| 1 | 0 | 0 | 0 |
entailment
|
((z&h)&h)
|
((y|z)|~((~(((h>y)|(z&y)))&(z|(z>h)))))
| 1 | 0 | 0 | 0 |
entailment
|
(u&h)
|
((y|z)|~((~(((h>y)|(z&y)))&(z|(z>h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&h)&h)
|
((u&~((z>(u>u))))|u)
| 0 | 0 | 0 | 0 |
not entailment
|
(u&((u&(z>u))&((u>(z&z))>(y>((z&h)>y)))))
|
((~((z&h))|u)>(h|u))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~((z&y)))&y)
|
((h&~((h>y)))>~(~((((y|h)&z)&(h|u)))))
| 1 | 0 | 0 | 0 |
entailment
|
(u&((u&(z>u))&((u>(z&z))>(y>((z&h)>y)))))
|
((h&~((h>y)))>~(~((((y|h)&z)&(h|u)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~((z&y)))&y)
|
((~((z&h))|u)>(h|u))
| 0 | 0 | 0 | 0 |
not entailment
|
((h>h)&z)
|
((~(z)>y)|((u&(y>h))&u))
| 1 | 0 | 0 | 0 |
entailment
|
((h|h)&~((y&(h>h))))
|
(((y&z)|y)>u)
| 1 | 1 | 0 | 0 |
entailment
|
((h>h)&z)
|
(((y&z)|y)>u)
| 0 | 0 | 0 | 0 |
not entailment
|
((h|h)&~((y&(h>h))))
|
((~(z)>y)|((u&(y>h))&u))
| 0 | 0 | 0 | 0 |
not entailment
|
((((u>h)&u)|~(u))&((y&z)&u))
|
((((z&y)|z)>h)>(h|z))
| 1 | 1 | 1 | 0 |
entailment
|
~(y)
|
~((y&h))
| 1 | 0 | 0 | 0 |
entailment
|
((((u>h)&u)|~(u))&((y&z)&u))
|
~((y&h))
| 0 | 1 | 1 | 0 |
not entailment
|
~(y)
|
((((z&y)|z)>h)>(h|z))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(u))>((z|y)&(((h|y)|z)>y)))
|
((~(z)|(u>y))|~((((u>u)|(z&y))|u)))
| 1 | 0 | 1 | 0 |
entailment
|
(((~(h)>(y>y))&~((z>z)))|u)
|
(((h|y)>u)&u)
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(u))>((z|y)&(((h|y)|z)>y)))
|
(((h|y)>u)&u)
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(h)>(y>y))&~((z>z)))|u)
|
((~(z)|(u>y))|~((((u>u)|(z&y))|u)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((y|u)&((h>y)|h)))
|
((u|(y|y))>(u>(h&(z&z))))
| 1 | 0 | 0 | 0 |
entailment
|
(((((h&u)&z)&y)|(u>u))&u)
|
(u|(~(((y|h)&y))&((y|h)>y)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((y|u)&((h>y)|h)))
|
(u|(~(((y|h)&y))&((y|h)>y)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((((h&u)&z)&y)|(u>u))&u)
|
((u|(y|y))>(u>(h&(z&z))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((~((u|~(h)))|(((z&h)&y)&z))))
|
((h|h)|((h|y)>u))
| 1 | 1 | 1 | 0 |
entailment
|
(z|z)
|
(z|z)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~((u|~(h)))|(((z&h)&y)&z))))
|
(z|z)
| 0 | 1 | 1 | 1 |
not entailment
|
(z|z)
|
((h|h)|((h|y)>u))
| 0 | 0 | 0 | 0 |
not entailment
|
~((h|(y>(z>u))))
|
(u>((u&h)|y))
| 1 | 1 | 1 | 0 |
entailment
|
~((y|(z|h)))
|
~((~(h)>~(~((y|z)))))
| 1 | 0 | 1 | 1 |
entailment
|
~((h|(y>(z>u))))
|
~((~(h)>~(~((y|z)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((y|(z|h)))
|
(u>((u&h)|y))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((z>u))&(~((h>(h&y)))&~(u)))
|
((((y|z)>(z>(z&u)))>~(h))|u)
| 1 | 1 | 1 | 0 |
entailment
|
(~(((h|~(~(h)))&y))>~(z))
|
((y>u)>((~(u)>~((h&z)))|(u&(y&(u|h)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((z>u))&(~((h>(h&y)))&~(u)))
|
((y>u)>((~(u)>~((h&z)))|(u&(y&(u|h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((h|~(~(h)))&y))>~(z))
|
((((y|z)>(z>(z&u)))>~(h))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((u>h)&(h&(h&y))))|(u&((u&y)&h))))
|
(~((u&u))|h)
| 1 | 1 | 1 | 1 |
entailment
|
(((h>(u>(u|h)))|z)>(z&y))
|
(~((u>(y&(y&u))))|(z|(z|z)))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(((u>h)&(h&(h&y))))|(u&((u&y)&h))))
|
(~((u>(y&(y&u))))|(z|(z|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((h>(u>(u|h)))|z)>(z&y))
|
(~((u&u))|h)
| 0 | 1 | 1 | 1 |
not entailment
|
(u&(h&((z&z)|(u&z))))
|
((((u|~(((u|(u|z))&h)))|(z>z))>z)>h)
| 1 | 0 | 1 | 0 |
entailment
|
(u&(h&((z&z)|(u&z))))
|
(u>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(u)
|
((((u|~(((u|(u|z))&h)))|(z>z))>z)>h)
| 0 | 0 | 0 | 0 |
not entailment
|
((k|~(~((r&k))))&((r>r)&k))
|
((((k|(k&(r|r)))|~(k))>(k&(r>~(r))))|k)
| 1 | 0 | 1 | 0 |
entailment
|
~((k|(k|~((r&r)))))
|
(r|r)
| 1 | 1 | 1 | 1 |
entailment
|
((k|~(~((r&k))))&((r>r)&k))
|
(r|r)
| 0 | 1 | 1 | 1 |
not entailment
|
~((k|(k|~((r&r)))))
|
((((k|(k&(r|r)))|~(k))>(k&(r>~(r))))|k)
| 0 | 0 | 1 | 0 |
not entailment
|
(((r|k)&~(r))&(r>(k&r)))
|
~((((r&(k&k))|(k|r))&(r&~(k))))
| 1 | 0 | 1 | 0 |
entailment
|
(((~((r&r))|(k>k))&(k|(r|r)))&(k>r))
|
(r&((k&r)|((~(k)|r)>(k>(~(k)>k)))))
| 1 | 1 | 1 | 1 |
entailment
|
(((r|k)&~(r))&(r>(k&r)))
|
(r&((k&r)|((~(k)|r)>(k>(~(k)>k)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((~((r&r))|(k>k))&(k|(r|r)))&(k>r))
|
~((((r&(k&k))|(k|r))&(r&~(k))))
| 0 | 1 | 1 | 1 |
not entailment
|
((((k|r)&(r>k))&r)&(k|~((k>r))))
|
((k&(r&k))|~(((k|(k|k))>(r>((r>k)>k)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((k>r))
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
((((k|r)&(r>k))&r)&(k|~((k>r))))
|
~(r)
| 0 | 1 | 1 | 1 |
not entailment
|
~((k>r))
|
((k&(r&k))|~(((k|(k|k))>(r>((r>k)>k)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((~((k|r))>~(~(r)))&~(r))
|
((k>r)>k)
| 1 | 1 | 1 | 1 |
entailment
|
((k>(r>r))>r)
|
(k>r)
| 1 | 1 | 1 | 0 |
entailment
|
((~((k|r))>~(~(r)))&~(r))
|
(k>r)
| 0 | 1 | 1 | 0 |
not entailment
|
((k>(r>r))>r)
|
((k>r)>k)
| 0 | 1 | 1 | 1 |
not entailment
|
(((r>r)&~(r))&~(~((((r&k)>r)>k))))
|
((k>r)>(~(((r>k)>k))|k))
| 1 | 1 | 1 | 0 |
entailment
|
((r|k)&r)
|
((r|((r&r)|((k|r)&(r|~(k)))))&r)
| 1 | 0 | 1 | 0 |
entailment
|
(((r>r)&~(r))&~(~((((r&k)>r)>k))))
|
((r|((r&r)|((k|r)&(r|~(k)))))&r)
| 0 | 1 | 1 | 0 |
not entailment
|
((r|k)&r)
|
((k>r)>(~(((r>k)>k))|k))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(k)&~(((r&k)|k))))
|
(((k&k)|r)&k)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(~(~(((r|r)|k))))|k))
|
(((r&(r>k))>k)>r)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(k)&~(((r&k)|k))))
|
(((r&(r>k))>k)>r)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(~(~(((r|r)|k))))|k))
|
(((k&k)|r)&k)
| 0 | 1 | 1 | 1 |
not entailment
|
(k&r)
|
(k>(k>((k&k)>(k>r))))
| 1 | 0 | 1 | 0 |
entailment
|
((((r|r)>(k|k))|r)>~((k>r)))
|
(k>(~(~(r))>(~(((r>k)&((r&r)>r)))&r)))
| 1 | 0 | 1 | 1 |
entailment
|
(k&r)
|
(k>(~(~(r))>(~(((r>k)&((r&r)>r)))&r)))
| 0 | 0 | 1 | 0 |
not entailment
|
((((r|r)>(k|k))|r)>~((k>r)))
|
(k>(k>((k&k)>(k>r))))
| 0 | 1 | 1 | 1 |
not entailment
|
(r&(~(~(r))|~(k)))
|
(k|(r|r))
| 1 | 1 | 1 | 0 |
entailment
|
((((r&(k|k))>r)|((k&k)|k))&~(r))
|
((k|r)>k)
| 1 | 1 | 1 | 1 |
entailment
|
(r&(~(~(r))|~(k)))
|
((k|r)>k)
| 0 | 1 | 1 | 0 |
not entailment
|
((((r&(k|k))>r)|((k&k)|k))&~(r))
|
(k|(r|r))
| 0 | 1 | 1 | 1 |
not entailment
|
(k|(r&k))
|
((k>k)&((k&k)&(k|r)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((r&r)))
|
((r&~((k|(r&r))))|(~(r)>r))
| 1 | 0 | 0 | 0 |
entailment
|
(k|(r&k))
|
((r&~((k|(r&r))))|(~(r)>r))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((r&r)))
|
((k>k)&((k&k)&(k|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(((k&k)>k))|(((k>k)>r)&(r&r)))))
|
((((r&(r>k))&k)>k)>(((r|(k|k))&(r|r))|k))
| 1 | 1 | 1 | 0 |
entailment
|
(k|((r|k)>((k|k)&k)))
|
(r>~((~(((k|k)|~(r)))&(r|(k&r)))))
| 1 | 0 | 1 | 1 |
entailment
|
~(~((~(((k&k)>k))|(((k>k)>r)&(r&r)))))
|
(r>~((~(((k|k)|~(r)))&(r|(k&r)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(k|((r|k)>((k|k)&k)))
|
((((r&(r>k))&k)>k)>(((r|(k|k))&(r|r))|k))
| 0 | 0 | 1 | 0 |
not entailment
|
(((((m&m)&(m&m))|m)&m)&m)
|
((((m|m)>(m&(m|(m&m))))>m)&(m&((m>m)|m)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(m)&((m&m)>m))
|
(~((m|m))&~(m))
| 1 | 1 | 1 | 1 |
entailment
|
(((((m&m)&(m&m))|m)&m)&m)
|
(~((m|m))&~(m))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(m)&((m&m)>m))
|
((((m|m)>(m&(m|(m&m))))>m)&(m&((m>m)|m)))
| 0 | 0 | 1 | 1 |
not entailment
|
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