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 |
|---|---|---|---|---|---|---|
((~((i&n))&(i|i))&(i>((e>i)|e)))
|
(~((n&(n|~(y))))&(~(h)|h))
| 1 | 1 | 0 | 0 |
entailment
|
(y&((h&n)&(i|e)))
|
(i>h)
| 1 | 1 | 1 | 0 |
entailment
|
((~((i&n))&(i|i))&(i>((e>i)|e)))
|
(i>h)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&((h&n)&(i|e)))
|
(~((n&(n|~(y))))&(~(h)|h))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((e|(~(i)&n))>((i|(i>h))>n)))
|
((n>h)&(e>(y>e)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(e)>n)>~(~(~(((e|h)|e)))))
|
~(~(((h>(i>~(i)))|(~(e)|~((i>h))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((e|(~(i)&n))>((i|(i>h))>n)))
|
~(~(((h>(i>~(i)))|(~(e)|~((i>h))))))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(e)>n)>~(~(~(((e|h)|e)))))
|
((n>h)&(e>(y>e)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((y|n)|i)|h))&~((h&e)))
|
~(h)
| 1 | 1 | 1 | 1 |
entailment
|
(((e>n)&i)&(h|n))
|
((i>i)>((i|(e&y))|(n|y)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((y|n)|i)|h))&~((h&e)))
|
((i>i)>((i|(e&y))|(n|y)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((e>n)&i)&(h|n))
|
~(h)
| 0 | 1 | 1 | 0 |
not entailment
|
((((h>e)&(n|i))&i)|i)
|
~((~((~(i)>e))&((e|y)|i)))
| 1 | 0 | 0 | 0 |
entailment
|
~((y>~(~(e))))
|
((~((i&e))&y)|(~((n&i))&((n|y)|~(e))))
| 1 | 0 | 0 | 0 |
entailment
|
((((h>e)&(n|i))&i)|i)
|
((~((i&e))&y)|(~((n&i))&((n|y)|~(e))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y>~(~(e))))
|
~((~((~(i)>e))&((e|y)|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(e)
|
((n>(e>y))|~(~((n>i))))
| 1 | 0 | 0 | 0 |
entailment
|
((y|~(n))>(y&~((i>i))))
|
((e|~(y))|(h|(h&h)))
| 1 | 1 | 0 | 0 |
entailment
|
~(e)
|
((e|~(y))|(h|(h&h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|~(n))>(y&~((i>i))))
|
((n>(e>y))|~(~((n>i))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(y))>(y&e)))
|
(((y&(i>n))&y)|y)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(n))&(~(h)>(~(n)&n)))
|
((e>h)&h)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(y))>(y&e)))
|
((e>h)&h)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(n))&(~(h)>(~(n)&n)))
|
(((y&(i>n))&y)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(e)&h)
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
(((((y&e)&(h|n))&n)&i)&n)
|
((i>(n&e))&i)
| 1 | 1 | 1 | 0 |
entailment
|
(~(e)&h)
|
((i>(n&e))&i)
| 0 | 0 | 0 | 0 |
not entailment
|
(((((y&e)&(h|n))&n)&i)&n)
|
~(e)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((i|(y&e))|e)|((~((y>e))|(n>h))|i)))
|
(((h>(i&y))>(e&e))>h)
| 1 | 1 | 1 | 0 |
entailment
|
(y&~((n&i)))
|
(y|((e&i)|(n&h)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((i|(y&e))|e)|((~((y>e))|(n>h))|i)))
|
(y|((e&i)|(n&h)))
| 0 | 1 | 1 | 0 |
not entailment
|
(y&~((n&i)))
|
(((h>(i&y))>(e&e))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
(i&((((n&h)>(~(y)>~(h)))|(e&i))|~(h)))
|
((n|(h|e))|((n>i)&(n|(~(y)|i))))
| 1 | 1 | 1 | 0 |
entailment
|
~((h&(y|i)))
|
(i>~(h))
| 1 | 1 | 1 | 1 |
entailment
|
(i&((((n&h)>(~(y)>~(h)))|(e&i))|~(h)))
|
(i>~(h))
| 0 | 1 | 1 | 0 |
not entailment
|
~((h&(y|i)))
|
((n|(h|e))|((n>i)&(n|(~(y)|i))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((m&(f&z))|f)|z)&~(~(f)))
|
((p&z)>(~(~(f))&p))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(p)|m))
|
(((((v>y)|u)|(v>f))>(z>z))>(u>p))
| 1 | 0 | 0 | 0 |
entailment
|
((((m&(f&z))|f)|z)&~(~(f)))
|
(((((v>y)|u)|(v>f))>(z>z))>(u>p))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(p)|m))
|
((p&z)>(~(~(f))&p))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m>w))
|
~(((w&(m>v))&(~(((m|f)>v))&(w|m))))
| 1 | 0 | 0 | 0 |
entailment
|
~((y|z))
|
(~(z)|((m|y)>y))
| 1 | 0 | 0 | 0 |
entailment
|
~((m>w))
|
(~(z)|((m|y)>y))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y|z))
|
~(((w&(m>v))&(~(((m|f)>v))&(w|m))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((u&u)&p)|y)|(m>(p|~(z)))))
|
((y>p)|~(~(u)))
| 1 | 1 | 1 | 0 |
entailment
|
(((((m|(f|y))|w)&m)|(v&(z|((u>z)>p))))&f)
|
(f|(v&f))
| 1 | 1 | 1 | 1 |
entailment
|
~(((((u&u)&p)|y)|(m>(p|~(z)))))
|
(f|(v&f))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((m|(f|y))|w)&m)|(v&(z|((u>z)>p))))&f)
|
((y>p)|~(~(u)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((u>(y&(v&p)))&(~(z)>(v>z)))|~(p))
|
((w>u)>(u>((z&p)>y)))
| 1 | 1 | 0 | 0 |
entailment
|
((p|((w>y)&w))&p)
|
((z|y)|((f>p)&p))
| 1 | 1 | 0 | 0 |
entailment
|
(((u>(y&(v&p)))&(~(z)>(v>z)))|~(p))
|
((z|y)|((f>p)&p))
| 0 | 1 | 0 | 0 |
not entailment
|
((p|((w>y)&w))&p)
|
((w>u)>(u>((z&p)>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((w&(((p&y)|y)|((u>m)|p))))&~((p|z)))
|
(~(~(f))>(((m&u)|((w|z)>v))|(f&w)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(~(z))>w))&(u|(~(p)&m)))
|
((f&w)>(((f&p)>w)>~(w)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((w&(((p&y)|y)|((u>m)|p))))&~((p|z)))
|
((f&w)>(((f&p)>w)>~(w)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(~(z))>w))&(u|(~(p)&m)))
|
(~(~(f))>(((m&u)|((w|z)>v))|(f&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(u)
|
~(~((~(~(w))|(p>((u&u)>v)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(p))
|
((z>p)|(y>f))
| 1 | 0 | 0 | 0 |
entailment
|
~(u)
|
((z>p)|(y>f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(p))
|
~(~((~(~(w))|(p>((u&u)>v)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&w)
|
(z&w)
| 1 | 1 | 1 | 1 |
entailment
|
~((u>p))
|
(p>~((~((p&((y>~(u))&p)))|(p|p))))
| 1 | 0 | 0 | 0 |
entailment
|
(z&w)
|
(p>~((~((p&((y>~(u))&p)))|(p|p))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>p))
|
(z&w)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~((p&(v|v)))>~((f&v)))|p)|z))
|
~(~(~(z)))
| 1 | 1 | 1 | 1 |
entailment
|
(((~(u)|~((f&z)))&(y|v))&~((u>m)))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
~((((~((p&(v|v)))>~((f&v)))|p)|z))
|
~(m)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(u)|~((f&z)))&(y|v))&~((u>m)))
|
~(~(~(z)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((m|u)|((v&m)>(v|p))))|y)
|
(((w&v)>y)|(((u&p)|f)>u))
| 1 | 1 | 0 | 0 |
entailment
|
(~(p)&((f>u)>f))
|
((w|f)|(((v|z)>(~(z)>v))>(((m>p)&z)|v)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((m|u)|((v&m)>(v|p))))|y)
|
((w|f)|(((v|z)>(~(z)>v))>(((m>p)&z)|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(p)&((f>u)>f))
|
(((w&v)>y)|(((u&p)|f)>u))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&z)
|
((m>y)>(((v|(z&p))>m)>(m|(~(u)&m))))
| 1 | 0 | 0 | 0 |
entailment
|
(u|(p&u))
|
(((p&w)&(((y&f)|f)>((z|p)|~(z))))|(p>u))
| 1 | 0 | 0 | 0 |
entailment
|
(m&z)
|
(((p&w)&(((y&f)|f)>((z|p)|~(z))))|(p>u))
| 0 | 0 | 0 | 0 |
not entailment
|
(u|(p&u))
|
((m>y)>(((v|(z&p))>m)>(m|(~(u)&m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((m>(z&u))|y)&(m&w))
|
(m|~((y>(p|w))))
| 1 | 1 | 0 | 0 |
entailment
|
((((z&(u&y))>p)&((p|~(p))|(f&p)))&(z&u))
|
(f|((m>u)|f))
| 1 | 1 | 0 | 0 |
entailment
|
(((m>(z&u))|y)&(m&w))
|
(f|((m>u)|f))
| 0 | 1 | 0 | 0 |
not entailment
|
((((z&(u&y))>p)&((p|~(p))|(f&p)))&(z&u))
|
(m|~((y>(p|w))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((v&(u&(y&w)))&u)&((v|z)|y))
|
(~(((y>f)&~(y)))|((~(m)|(u|y))|u))
| 1 | 0 | 0 | 0 |
entailment
|
((f|w)&f)
|
(y>f)
| 1 | 1 | 0 | 0 |
entailment
|
(((v&(u&(y&w)))&u)&((v|z)|y))
|
(y>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((f|w)&f)
|
(~(((y>f)&~(y)))|((~(m)|(u|y))|u))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(w)|p)&~(f))&w)
|
~((((m|u)|v)&(~(w)&z)))
| 1 | 0 | 0 | 0 |
entailment
|
((u&v)&~(~(~(m))))
|
((f&f)|u)
| 1 | 1 | 0 | 0 |
entailment
|
(((~(w)|p)&~(f))&w)
|
((f&f)|u)
| 0 | 1 | 0 | 0 |
not entailment
|
((u&v)&~(~(~(m))))
|
~((((m|u)|v)&(~(w)&z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(v|v)
|
(((~((y&u))&v)|v)|(~(v)&(p|(y>f))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((v>((v>p)>z))>m))>(((z>v)>p)>u)))
|
(~((m&(w>m)))&(y>y))
| 1 | 1 | 0 | 0 |
entailment
|
(v|v)
|
(~((m&(w>m)))&(y>y))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((v>((v>p)>z))>m))>(((z>v)>p)>u)))
|
(((~((y&u))&v)|v)|(~(v)&(p|(y>f))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((p|(m>m)))|p)|(w|f)))
|
((p&~(y))>(w|v))
| 1 | 1 | 0 | 0 |
entailment
|
~(((u&p)>~((z|(f>(v>u))))))
|
((y>((m|(m&u))&~((~(~((p&u)))>f))))|p)
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((p|(m>m)))|p)|(w|f)))
|
((y>((m|(m&u))&~((~(~((p&u)))>f))))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u&p)>~((z|(f>(v>u))))))
|
((p&~(y))>(w|v))
| 0 | 1 | 0 | 0 |
not entailment
|
~(v)
|
(~(w)|(u|((v>m)&(~((w>v))|f))))
| 1 | 0 | 0 | 0 |
entailment
|
((w>z)&p)
|
((((w|m)|v)|~(m))&~(~(p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(v)
|
((((w|m)|v)|~(m))&~(~(p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((w>z)&p)
|
(~(w)|(u|((v>m)&(~((w>v))|f))))
| 0 | 0 | 0 | 0 |
not entailment
|
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