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 |
|---|---|---|---|---|---|---|
((w|j)&~(r))
|
((r|((j|w)&(w>r)))>((((r|j)&r)>(j&w))&j))
| 1 | 0 | 1 | 0 |
entailment
|
(~((r>j))&(j>((w|j)|(w&r))))
|
((r|((j|w)&(w>r)))>((((r|j)&r)>(j&w))&j))
| 0 | 0 | 1 | 0 |
not entailment
|
((w|j)&~(r))
|
(~(r)>w)
| 0 | 1 | 1 | 0 |
not entailment
|
((r>w)&w)
|
(~(((~(r)>w)|(r&j)))>r)
| 1 | 0 | 0 | 0 |
entailment
|
((w>w)&~((r|w)))
|
(w>r)
| 1 | 1 | 1 | 0 |
entailment
|
((r>w)&w)
|
(w>r)
| 0 | 1 | 1 | 0 |
not entailment
|
((w>w)&~((r|w)))
|
(~(((~(r)>w)|(r&j)))>r)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(w))&r)&j)
|
(w|~(((((w|j)|r)>(w&w))|j)))
| 1 | 0 | 1 | 0 |
entailment
|
((~((r>r))&((r>j)&(r&w)))|~(w))
|
(((w>w)>j)>(~((r>w))|(~(w)|~((w>w)))))
| 1 | 0 | 1 | 0 |
entailment
|
((~(~(w))&r)&j)
|
(((w>w)>j)>(~((r>w))|(~(w)|~((w>w)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((~((r>r))&((r>j)&(r&w)))|~(w))
|
(w|~(((((w|j)|r)>(w&w))|j)))
| 0 | 1 | 1 | 0 |
not entailment
|
(r&r)
|
~((((r|~((w&r)))|(w>j))&~(r)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(r)&((j&w)&j))
|
((j>r)>~(~(~(~((w|w))))))
| 1 | 0 | 1 | 1 |
entailment
|
(r&r)
|
((j>r)>~(~(~(~((w|w))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(r)&((j&w)&j))
|
~((((r|~((w&r)))|(w>j))&~(r)))
| 0 | 0 | 1 | 0 |
not entailment
|
((r|(r>j))>((r&r)&r))
|
(~((~((r|w))>((w>(r&w))>r)))>(r|r))
| 1 | 0 | 0 | 0 |
entailment
|
(j&(r>j))
|
(~(r)|j)
| 1 | 1 | 1 | 1 |
entailment
|
((r|(r>j))>((r&r)&r))
|
(~(r)|j)
| 0 | 1 | 1 | 0 |
not entailment
|
(j&(r>j))
|
(~((~((r|w))>((w>(r&w))>r)))>(r|r))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((r|j))>j)&(r&j))|~(~(j)))
|
(~((w>j))>~(w))
| 1 | 1 | 0 | 0 |
entailment
|
~(((j|j)&(w>r)))
|
(j>w)
| 1 | 1 | 1 | 1 |
entailment
|
(((~((r|j))>j)&(r&j))|~(~(j)))
|
(j>w)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((j|j)&(w>r)))
|
(~((w>j))>~(w))
| 0 | 1 | 1 | 0 |
not entailment
|
((c&c)&((c>~(c))>c))
|
~(~((((c|(~(c)|c))&c)&(c|c))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((c>(c|(c&c)))&c))|(c>~(c)))
|
~((c&~(((c&(c>c))&~((c>((c|c)>c)))))))
| 1 | 0 | 1 | 1 |
entailment
|
((c&c)&((c>~(c))>c))
|
~((c&~(((c&(c>c))&~((c>((c|c)>c)))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((c>(c|(c&c)))&c))|(c>~(c)))
|
~(~((((c|(~(c)|c))&c)&(c|c))))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(~((c>(c|c))))&(c|c))|(c|c))
|
(c&c)
| 1 | 1 | 1 | 1 |
entailment
|
~((~((c>c))|(c|((c|c)&(c&c)))))
|
~(((((c|c)&((c>c)&c))&(c&c))&c))
| 1 | 1 | 1 | 1 |
entailment
|
((~(~((c>(c|c))))&(c|c))|(c|c))
|
~(((((c|c)&((c>c)&c))&(c&c))&c))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~((c>c))|(c|((c|c)&(c&c)))))
|
(c&c)
| 0 | 1 | 1 | 1 |
not entailment
|
((c|c)&(((c|~(c))|(c|c))>c))
|
((c&c)|(~((c&c))&((c|(c>c))>c)))
| 1 | 0 | 1 | 1 |
entailment
|
(((c>c)|~(((c>c)|c)))>(c>~((c>c))))
|
~((c|c))
| 1 | 1 | 1 | 1 |
entailment
|
((c|c)&(((c|~(c))|(c|c))>c))
|
~((c|c))
| 0 | 1 | 1 | 1 |
not entailment
|
(((c>c)|~(((c>c)|c)))>(c>~((c>c))))
|
((c&c)|(~((c&c))&((c|(c>c))>c)))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(((c&c)>c))|c)&(((c>(c|c))|c)&(c&c)))
|
(c&c)
| 1 | 1 | 1 | 1 |
entailment
|
((c|c)>(~((c&(c>c)))|~(~(~((c>c))))))
|
~((c|c))
| 1 | 1 | 1 | 1 |
entailment
|
((~(((c&c)>c))|c)&(((c>(c|c))|c)&(c&c)))
|
~((c|c))
| 0 | 1 | 1 | 1 |
not entailment
|
((c|c)>(~((c&(c>c)))|~(~(~((c>c))))))
|
(c&c)
| 0 | 1 | 1 | 1 |
not entailment
|
((p|(j|m))>(g&(m>e)))
|
(p>g)
| 1 | 1 | 1 | 1 |
entailment
|
(i&(m&p))
|
((c>m)|((p|j)|e))
| 1 | 0 | 0 | 0 |
entailment
|
((p|(j|m))>(g&(m>e)))
|
((c>m)|((p|j)|e))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&(m&p))
|
(p>g)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((~((~(w)&(c|u)))&g))&m)&i)
|
(g|i)
| 1 | 1 | 1 | 0 |
entailment
|
(((w|j)|~((~(j)|((g|w)|g))))&c)
|
(c&((g|c)|((c&u)&e)))
| 1 | 1 | 0 | 0 |
entailment
|
((~((~((~(w)&(c|u)))&g))&m)&i)
|
(c&((g|c)|((c&u)&e)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((w|j)|~((~(j)|((g|w)|g))))&c)
|
(g|i)
| 0 | 1 | 0 | 0 |
not entailment
|
((j&w)&(~(c)|((c|u)>c)))
|
(((j|g)|p)|((u&(w&p))&~(g)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((~(p)&c)&m)>(w>p))>(u|i)))
|
(~(((u>(j|e))|~((w&m))))|~((u|i)))
| 1 | 0 | 0 | 0 |
entailment
|
((j&w)&(~(c)|((c|u)>c)))
|
(~(((u>(j|e))|~((w&m))))|~((u|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((~(p)&c)&m)>(w>p))>(u|i)))
|
(((j|g)|p)|((u&(w&p))&~(g)))
| 0 | 1 | 0 | 0 |
not entailment
|
((i&~(c))|((e&~((e>(e|i))))&i))
|
(m>((~(c)>~(~((i|j))))|(g|u)))
| 1 | 1 | 0 | 0 |
entailment
|
(e&((~(j)&~((j&c)))&(p>w)))
|
(~(~(g))>((((e>e)>g)>((g>e)|j))|e))
| 1 | 0 | 0 | 0 |
entailment
|
((i&~(c))|((e&~((e>(e|i))))&i))
|
(~(~(g))>((((e>e)>g)>((g>e)|j))|e))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&((~(j)&~((j&c)))&(p>w)))
|
(m>((~(c)>~(~((i|j))))|(g|u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((c>p))&((m>~((g&i)))|~(c)))
|
(c&c)
| 1 | 1 | 1 | 1 |
entailment
|
(e&j)
|
(((u|w)>(p&g))|j)
| 1 | 0 | 0 | 0 |
entailment
|
(~((c>p))&((m>~((g&i)))|~(c)))
|
(((u|w)>(p&g))|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(e&j)
|
(c&c)
| 0 | 1 | 0 | 0 |
not entailment
|
(p&~(((((m&(g|p))&w)>(j|i))&p)))
|
(((u|p)>i)>(((i&i)&u)&m))
| 1 | 1 | 0 | 0 |
entailment
|
~((e>m))
|
(~((~(g)&(e>p)))>((w&(e|g))>e))
| 1 | 0 | 0 | 0 |
entailment
|
(p&~(((((m&(g|p))&w)>(j|i))&p)))
|
(~((~(g)&(e>p)))>((w&(e|g))>e))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e>m))
|
(((u|p)>i)>(((i&i)&u)&m))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m>p))
|
(j>m)
| 1 | 1 | 0 | 0 |
entailment
|
((m>~(~(((p|((g&j)>u))>~(i)))))&w)
|
((w&(i|w))|(~(e)>p))
| 1 | 1 | 0 | 0 |
entailment
|
~((m>p))
|
((w&(i|w))|(~(e)>p))
| 0 | 0 | 0 | 0 |
not entailment
|
((m>~(~(((p|((g&j)>u))>~(i)))))&w)
|
(j>m)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((i>i)>~((g&e))))
|
~((m&(~(w)&~(((u|(m|j))&g)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(j)
|
(j>((i&p)|(g>c)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((i>i)>~((g&e))))
|
(j>((i&p)|(g>c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(j)
|
~((m&(~(w)&~(((u|(m|j))&g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u|(m|j)))
|
(~((((m&i)>w)&(i>m)))>(g>(m>(u|(c|e)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((p>u))
|
(w|p)
| 1 | 1 | 0 | 0 |
entailment
|
~((u|(m|j)))
|
(w|p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((p>u))
|
(~((((m&i)>w)&(i>m)))>(g>(m>(u|(c|e)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&~(((e|e)>(u&m))))
|
(e|(((c&i)|((m|i)|(i&p)))>(e|~(~(c)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(~((j|u))))>j)&u)
|
(~(((c>j)>m))|u)
| 1 | 1 | 0 | 0 |
entailment
|
(c&~(((e|e)>(u&m))))
|
(~(((c>j)>m))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(~((j|u))))>j)&u)
|
(e|(((c&i)|((m|i)|(i&p)))>(e|~(~(c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>((((i>i)&(j>u))>w)|m)))
|
(~(((p|(e&p))&p))>((c|w)&c))
| 1 | 1 | 0 | 0 |
entailment
|
~(((m&~(p))|(~((e|~(j)))>(g|(p&c)))))
|
((i>p)|~(((((i>(w&p))>~((p>e)))&j)&g)))
| 1 | 1 | 0 | 0 |
entailment
|
~((c>((((i>i)&(j>u))>w)|m)))
|
((i>p)|~(((((i>(w&p))>~((p>e)))&j)&g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((m&~(p))|(~((e|~(j)))>(g|(p&c)))))
|
(~(((p|(e&p))&p))>((c|w)&c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(u))|~(~(w))))
|
((w>(i|i))|(j&(j&(e|p))))
| 1 | 1 | 0 | 0 |
entailment
|
((p|p)>j)
|
(((~(w)>((p&j)|~(p)))|~(g))|(g&u))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(u))|~(~(w))))
|
(((~(w)>((p&j)|~(p)))|~(g))|(g&u))
| 0 | 0 | 0 | 0 |
not entailment
|
((p|p)>j)
|
((w>(i|i))|(j&(j&(e|p))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((~(j)>g))&i)>(i>~(((p|e)|m)))))
|
(c|((((c|p)>(j>(c>m)))|~(p))>(p>~(g))))
| 1 | 1 | 0 | 0 |
entailment
|
(p&e)
|
(~(g)>e)
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((~(j)>g))&i)>(i>~(((p|e)|m)))))
|
(~(g)>e)
| 0 | 1 | 1 | 0 |
not entailment
|
(p&e)
|
(c|((((c|p)>(j>(c>m)))|~(p))>(p>~(g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&~(((((c|m)|j)&m)>(j|(u>w)))))
|
(j>(c&i))
| 1 | 1 | 0 | 0 |
entailment
|
((w|((w|g)>g))>(p&((e&i)|p)))
|
(u>p)
| 1 | 1 | 0 | 0 |
entailment
|
(u&~(((((c|m)|j)&m)>(j|(u>w)))))
|
(u>p)
| 0 | 1 | 0 | 0 |
not entailment
|
((w|((w|g)>g))>(p&((e&i)|p)))
|
(j>(c&i))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&m)
|
~(~(((~(u)&(i>j))>m)))
| 1 | 0 | 0 | 0 |
entailment
|
~((u|(i|~((i|c)))))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
(e&m)
|
~(u)
| 0 | 1 | 0 | 0 |
not entailment
|
~((u|(i|~((i|c)))))
|
~(~(((~(u)&(i>j))>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((w&m)>u))
|
(((~(((~(j)>i)>m))|m)|j)|w)
| 1 | 0 | 0 | 0 |
entailment
|
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