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