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 |
|---|---|---|---|---|---|---|
((j|(a&(j&(a>s))))&(j>(f&s)))
|
((((f|o)&b)|(a|f))|~(b))
| 1 | 1 | 0 | 0 |
entailment
|
(((c&a)|(a|b))&c)
|
(((i&f)|c)|(~((i&j))&~(h)))
| 1 | 0 | 0 | 0 |
entailment
|
((j|(a&(j&(a>s))))&(j>(f&s)))
|
(((i&f)|c)|(~((i&j))&~(h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((c&a)|(a|b))&c)
|
((((f|o)&b)|(a|f))|~(b))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(a)|~(~((b|v)))))
|
(c|((j&s)>(b>(i&a))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((s&a)))
|
((i>h)>(((f&b)>(h&b))>s))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(a)|~(~((b|v)))))
|
((i>h)>(((f&b)>(h&b))>s))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((s&a)))
|
(c|((j&s)>(b>(i&a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((c>((h>(j&o))>a))&~(~(o)))
|
(~(((i|(a|f))>o))>(f&o))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((v>((v>s)>f)))>((i&s)>c)))
|
(~(f)|(h&b))
| 1 | 1 | 0 | 0 |
entailment
|
((c>((h>(j&o))>a))&~(~(o)))
|
(~(f)|(h&b))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((v>((v>s)>f)))>((i&s)>c)))
|
(~(((i|(a|f))>o))>(f&o))
| 0 | 1 | 0 | 0 |
not entailment
|
((f|h)>j)
|
(~((h>j))>(((a>a)&(s|~(f)))>(h&v)))
| 1 | 0 | 0 | 0 |
entailment
|
(((h|j)&(~(h)>b))&((c|c)|c))
|
(o|c)
| 1 | 1 | 0 | 0 |
entailment
|
((f|h)>j)
|
(o|c)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h|j)&(~(h)>b))&((c|c)|c))
|
(~((h>j))>(((a>a)&(s|~(f)))>(h&v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((s&h)&j))|(f>o)))
|
((~(j)&~((o>f)))|j)
| 1 | 1 | 1 | 0 |
entailment
|
~((((a>a)|(c|(c|o)))>(v|v)))
|
(((b>~((h|s)))&(v&c))>o)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((s&h)&j))|(f>o)))
|
(((b>~((h|s)))&(v&c))>o)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((a>a)|(c|(c|o)))>(v|v)))
|
((~(j)&~((o>f)))|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(h)|~((~((i>(h|a)))|o))))
|
(((f|h)|(a>i))|f)
| 1 | 1 | 0 | 0 |
entailment
|
~((j|(b&(h>j))))
|
(~(a)>((a>((v>f)&a))>((j|~(~(i)))>i)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(h)|~((~((i>(h|a)))|o))))
|
(~(a)>((a>((v>f)&a))>((j|~(~(i)))>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j|(b&(h>j))))
|
(((f|h)|(a>i))|f)
| 0 | 1 | 0 | 0 |
not entailment
|
((s|o)&((a&o)|(f&(a&j))))
|
(o|s)
| 1 | 1 | 1 | 1 |
entailment
|
(h&a)
|
(h&((f|a)|c))
| 1 | 0 | 0 | 0 |
entailment
|
((s|o)&((a&o)|(f&(a&j))))
|
(h&((f|a)|c))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&a)
|
(o|s)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((h&b)|a)|((~((o>s))|o)|(a&s))))
|
~(~(((h&o)>f)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((s>j)|~(((a&s)|s))))|c))
|
(~(c)|(b&((f|j)|i)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((h&b)|a)|((~((o>s))|o)|(a&s))))
|
(~(c)|(b&((f|j)|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((s>j)|~(((a&s)|s))))|c))
|
~(~(((h&o)>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((c|c))&~(~((a>(v>(f&~(h)))))))
|
(((a&j)&c)>((s&(i>i))>i))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((f>(b|h))>~((j|v))))&v))
|
(v>f)
| 1 | 1 | 1 | 1 |
entailment
|
(~((c|c))&~(~((a>(v>(f&~(h)))))))
|
(v>f)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(((f>(b|h))>~((j|v))))&v))
|
(((a&j)&c)>((s&(i>i))>i))
| 0 | 1 | 0 | 0 |
not entailment
|
~(h)
|
~(((c&v)&(~(~(h))|~(v))))
| 1 | 0 | 0 | 0 |
entailment
|
(((b&f)&(s&a))&~(o))
|
((v|~((j|(a>o))))|(v|s))
| 1 | 0 | 0 | 0 |
entailment
|
~(h)
|
((v|~((j|(a>o))))|(v|s))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b&f)&(s&a))&~(o))
|
~(((c&v)&(~(~(h))|~(v))))
| 0 | 0 | 0 | 0 |
not entailment
|
((m>e)>~(u))
|
((m|~(((u|f)&e)))|(f&(f|m)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u>e)>((m>m)&(e>(m&u)))))
|
(m|e)
| 1 | 1 | 1 | 1 |
entailment
|
((m>e)>~(u))
|
(m|e)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((u>e)>((m>m)&(e>(m&u)))))
|
((m|~(((u|f)&e)))|(f&(f|m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&~(u))
|
(e>(u>~((e&f))))
| 1 | 0 | 0 | 0 |
entailment
|
~((m|y))
|
(~(y)|~(~(e)))
| 1 | 0 | 0 | 0 |
entailment
|
(m&~(u))
|
(~(y)|~(~(e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m|y))
|
(e>(u>~((e&f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((y&m)&(((f|e)&f)&y))>u)&((m&e)&(y>u)))
|
((f&~(~((u&f))))>e)
| 1 | 1 | 1 | 0 |
entailment
|
~((m&(e|(y>m))))
|
~(((m>f)&(~((e&u))&m)))
| 1 | 0 | 0 | 0 |
entailment
|
((((y&m)&(((f|e)&f)&y))>u)&((m&e)&(y>u)))
|
~(((m>f)&(~((e&u))&m)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((m&(e|(y>m))))
|
((f&~(~((u&f))))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(y))|f))
|
(f>(m&(m&f)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(y))
|
((~(y)>u)|(e&f))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(y))|f))
|
((~(y)>u)|(e&f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(y))
|
(f>(m&(m&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(e>(u&u))
|
(((e&f)>~(((((f|~(e))>m)&y)&(m&f))))|u)
| 1 | 0 | 0 | 0 |
entailment
|
(m&(~(m)>((y>y)|u)))
|
((~(m)>e)|(((e&m)|e)&(u&u)))
| 1 | 0 | 0 | 0 |
entailment
|
(e>(u&u))
|
((~(m)>e)|(((e&m)|e)&(u&u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(~(m)>((y>y)|u)))
|
(((e&f)>~(((((f|~(e))>m)&y)&(m&f))))|u)
| 0 | 0 | 0 | 0 |
not entailment
|
(u&m)
|
((~(y)>(~(y)&e))>m)
| 1 | 0 | 0 | 0 |
entailment
|
~(((m|~(u))>(y&f)))
|
~(((f|((f>((y>y)>y))&f))&((y>f)>y)))
| 1 | 0 | 1 | 0 |
entailment
|
(u&m)
|
~(((f|((f>((y>y)>y))&f))&((y>f)>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((m|~(u))>(y&f)))
|
((~(y)>(~(y)&e))>m)
| 0 | 1 | 0 | 0 |
not entailment
|
(m&(f&(f>(e>u))))
|
((y|(f|~((f>u))))>m)
| 1 | 0 | 0 | 0 |
entailment
|
((~(u)|y)&(y&(((f>y)&e)&u)))
|
(u&(e|m))
| 1 | 1 | 0 | 0 |
entailment
|
(m&(f&(f>(e>u))))
|
(u&(e|m))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(u)|y)&(y&(((f>y)&e)&u)))
|
((y|(f|~((f>u))))>m)
| 0 | 1 | 0 | 0 |
not entailment
|
(u&m)
|
((u>e)>~(~(((~(m)>m)|~((m>(f|m)))))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((~(y)>f))|(y>(e&e)))>(y&((e|u)&f)))
|
(m>((((f>m)&m)|f)>~((e&~(f)))))
| 1 | 1 | 0 | 0 |
entailment
|
(u&m)
|
(m>((((f>m)&m)|f)>~((e&~(f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((~(y)>f))|(y>(e&e)))>(y&((e|u)&f)))
|
((u>e)>~(~(((~(m)>m)|~((m>(f|m)))))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(f))>~((e>e)))
|
((~(~((f|~((f>y)))))&(~(e)>m))>(m|y))
| 1 | 0 | 0 | 0 |
entailment
|
((~((f>u))|(e&e))&f)
|
((y>f)&(m|(m>(f>m))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(f))>~((e>e)))
|
((y>f)&(m|(m>(f>m))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((f>u))|(e&e))&f)
|
((~(~((f|~((f>y)))))&(~(e)>m))>(m|y))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e|m)&((m|e)>~((y|y))))&e)
|
~((((e>(m&f))>(f|((m>u)&y)))&y))
| 1 | 0 | 0 | 0 |
entailment
|
(((f&(e&u))&y)&m)
|
((y>((m&u)|~(m)))>(~((u>m))|(f>y)))
| 1 | 0 | 1 | 0 |
entailment
|
(((e|m)&((m|e)>~((y|y))))&e)
|
((y>((m&u)|~(m)))>(~((u>m))|(f>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f&(e&u))&y)&m)
|
~((((e>(m&f))>(f|((m>u)&y)))&y))
| 0 | 0 | 1 | 0 |
not entailment
|
((e&f)&(((f&m)&y)|(u&(m|m))))
|
~((f>~((f>e))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((f>(u&y))>f))
|
~((f&((((~((e|e))|(e&u))|(e>f))>m)>e)))
| 1 | 0 | 0 | 0 |
entailment
|
((e&f)&(((f&m)&y)|(u&(m|m))))
|
~((f&((((~((e|e))|(e&u))|(e>f))>m)>e)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((f>(u&y))>f))
|
~((f>~((f>e))))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&~(u))&(f&m))
|
((y>u)>m)
| 1 | 1 | 0 | 0 |
entailment
|
~((((y|(m|(e&f)))|(f>u))|~((f|(y|u)))))
|
(m>y)
| 1 | 1 | 1 | 1 |
entailment
|
((f&~(u))&(f&m))
|
(m>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((y|(m|(e&f)))|(f>u))|~((f|(y|u)))))
|
((y>u)>m)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(m))&y)
|
(((e|e)&(~((y&y))>(m>e)))>m)
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(y))|(~((y>f))>y))>(e&y))
|
(e|(((y&u)>~(m))|e))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(m))&y)
|
(e|(((y&u)>~(m))|e))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(y))|(~((y>f))>y))>(e&y))
|
(((e|e)&(~((y&y))>(m>e)))>m)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(e)|(e|y))&(e&((y&f)&(f|y))))
|
(y&(u|y))
| 1 | 1 | 0 | 0 |
entailment
|
((f>(m|f))>~(u))
|
(~(((e|f)&u))|~(((u>e)>e)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(e)|(e|y))&(e&((y&f)&(f|y))))
|
(~(((e|f)&u))|~(((u>e)>e)))
| 0 | 1 | 0 | 0 |
not entailment
|
((f>(m|f))>~(u))
|
(y&(u|y))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&(e&(u&y)))
|
~(~((y&~(~((u>u))))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(~(f))&~(~(~(m))))
|
~(~((~(~(u))>((f|(~(e)|f))|f))))
| 1 | 0 | 0 | 0 |
entailment
|
(e&(e&(u&y)))
|
~(~((~(~(u))>((f|(~(e)|f))|f))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(f))&~(~(~(m))))
|
~(~((y&~(~((u>u))))))
| 0 | 1 | 0 | 0 |
not entailment
|
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