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 |
---|---|---|---|---|---|---|
~((c|w))
|
(((x>~(w))>w)>m)
| 1 | 0 | 0 | 0 |
entailment
|
((w&~(c))&w)
|
(((x>~(w))>w)>m)
| 0 | 0 | 0 | 0 |
not entailment
|
~((c|w))
|
((((w|c)|f)|w)|m)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(g)>(f>(d|g)))&((g&~((u|g)))>m)))
|
((d>(d>g))|(f>(u&(u>(g|m)))))
| 1 | 1 | 1 | 0 |
entailment
|
((u&(u>(d|f)))&(~(((f>g)|m))|(g&d)))
|
(m|u)
| 1 | 1 | 1 | 0 |
entailment
|
~(((~(g)>(f>(d|g)))&((g&~((u|g)))>m)))
|
(m|u)
| 0 | 1 | 1 | 0 |
not entailment
|
((u&(u>(d|f)))&(~(((f>g)|m))|(g&d)))
|
((d>(d>g))|(f>(u&(u>(g|m)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((((u&f)>((m>d)|g))&m)&((u&d)|g))
|
(~((g&(u|u)))|(u>m))
| 1 | 1 | 1 | 0 |
entailment
|
(((u&~(m))&u)&((u>(d&d))>u))
|
(((m&g)>(((f>~(m))>u)>f))>~((~(u)&d)))
| 1 | 0 | 0 | 0 |
entailment
|
((((u&f)>((m>d)|g))&m)&((u&d)|g))
|
(((m&g)>(((f>~(m))>u)>f))>~((~(u)&d)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((u&~(m))&u)&((u>(d&d))>u))
|
(~((g&(u|u)))|(u>m))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&u)
|
(~(((m&m)&u))>~(u))
| 1 | 0 | 1 | 0 |
entailment
|
~(m)
|
~((((u>(f>(f>d)))&m)&(m&d)))
| 1 | 0 | 0 | 0 |
entailment
|
(m&u)
|
~((((u>(f>(f>d)))&m)&(m&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(m)
|
(~(((m&m)&u))>~(u))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((m&(d&(m&~(u)))))&m)&~((u|(f|f))))
|
~(~((~(m)>m)))
| 1 | 1 | 1 | 1 |
entailment
|
((m>g)&g)
|
((u|f)|((g|g)|(m&u)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((m&(d&(m&~(u)))))&m)&~((u|(f|f))))
|
((u|f)|((g|g)|(m&u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((m>g)&g)
|
~(~((~(m)>m)))
| 0 | 0 | 1 | 0 |
not entailment
|
((d&(f>(d>f)))>~((d|~(((m&f)|(f>g))))))
|
~(((~(~((d|g)))&((u>g)&~(g)))&(g>u)))
| 1 | 1 | 0 | 0 |
entailment
|
(((d>d)>d)&(d>f))
|
(f|m)
| 1 | 1 | 0 | 0 |
entailment
|
((d&(f>(d>f)))>~((d|~(((m&f)|(f>g))))))
|
(f|m)
| 0 | 1 | 1 | 1 |
not entailment
|
(((d>d)>d)&(d>f))
|
~(((~(~((d|g)))&((u>g)&~(g)))&(g>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((g|d)>~(d))&m)
|
(((m&g)&(g&~(u)))|~(~(((m&m)|g))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(((g&u)|g)|f))
|
(g|(f|u))
| 1 | 1 | 1 | 1 |
entailment
|
(((g|d)>~(d))&m)
|
(g|(f|u))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(((g&u)|g)|f))
|
(((m&g)&(g&~(u)))|~(~(((m&m)|g))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((m&~(d))))
|
(m|g)
| 1 | 1 | 0 | 0 |
entailment
|
(~(m)&(((d|d)|~(f))|d))
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((m&~(d))))
|
~(m)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(m)&(((d|d)|~(f))|d))
|
(m|g)
| 0 | 1 | 0 | 0 |
not entailment
|
((f&d)&((~(~(g))>f)>g))
|
~(~(((g|(g|u))|u)))
| 1 | 1 | 0 | 0 |
entailment
|
~(d)
|
~(((u|((g&u)>m))>((u>m)&d)))
| 1 | 0 | 0 | 0 |
entailment
|
((f&d)&((~(~(g))>f)>g))
|
~(((u|((g&u)>m))>((u>m)&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(d)
|
~(~(((g|(g|u))|u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&~((~((((g>g)>(f|d))>(f|u)))&d)))
|
(~((((d&m)|d)>g))>(((f&d)&(m|d))>u))
| 1 | 1 | 0 | 0 |
entailment
|
(((d>~(m))&(m>((u|u)>u)))&(d|g))
|
~(~((f|((u>m)|(u&(d|g))))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(d)&~((~((((g>g)>(f|d))>(f|u)))&d)))
|
~(~((f|((u>m)|(u&(d|g))))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d>~(m))&(m>((u|u)>u)))&(d|g))
|
(~((((d&m)|d)>g))>(((f&d)&(m|d))>u))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&(m|g))
|
(~((m>(~(u)&d)))|u)
| 1 | 0 | 0 | 0 |
entailment
|
((m|m)&f)
|
(f&((~(~(u))&g)|(m|m)))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(m|g))
|
(f&((~(~(u))&g)|(m|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
((m|m)&f)
|
(~((m>(~(u)&d)))|u)
| 0 | 0 | 0 | 0 |
not entailment
|
(d>g)
|
((d>m)|g)
| 1 | 0 | 0 | 0 |
entailment
|
~((~((d&(f|d)))&(g>(d>(f|m)))))
|
(~(d)>u)
| 1 | 1 | 0 | 0 |
entailment
|
(d>g)
|
(~(d)>u)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((d&(f|d)))&(g>(d>(f|m)))))
|
((d>m)|g)
| 0 | 1 | 1 | 0 |
not entailment
|
((~((u|u))&(d|u))&~(~(((m|(g&m))&g))))
|
~(~(((m>g)>g)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((m>g)>(((d&~(g))|m)|(~(u)>f))))
|
~((m|((g&(m&~(g)))&(f>m))))
| 1 | 1 | 1 | 0 |
entailment
|
((~((u|u))&(d|u))&~(~(((m|(g&m))&g))))
|
~((m|((g&(m&~(g)))&(f>m))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((m>g)>(((d&~(g))|m)|(~(u)>f))))
|
~(~(((m>g)>g)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((g>((u&m)&f))&d)&~((g&m)))
|
(((f|~(d))>d)|(~((d&(g>(d|m))))>d))
| 1 | 0 | 1 | 0 |
entailment
|
(((u&f)&(m|g))&(~(m)|(((f&u)|(f>u))|m)))
|
((f&u)&(~(g)|(f|((d|(~(m)|(u|f)))&d))))
| 1 | 1 | 0 | 0 |
entailment
|
(((g>((u&m)&f))&d)&~((g&m)))
|
((f&u)&(~(g)|(f|((d|(~(m)|(u|f)))&d))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((u&f)&(m|g))&(~(m)|(((f&u)|(f>u))|m)))
|
(((f|~(d))>d)|(~((d&(g>(d|m))))>d))
| 0 | 1 | 0 | 0 |
not entailment
|
(((g&u)>(d&(d|g)))&d)
|
(d|~((((u|g)|(f&u))|(d>((~(m)&f)|d)))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(g)|m)>(~(m)&m))
|
~(((m&~(~(u)))&(g|g)))
| 1 | 0 | 0 | 0 |
entailment
|
(((g&u)>(d&(d|g)))&d)
|
~(((m&~(~(u)))&(g|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(g)|m)>(~(m)&m))
|
(d|~((((u|g)|(f&u))|(d>((~(m)&f)|d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((g>g)>d)&(~(~(d))&((m>u)>((m>g)>f))))
|
(u>(((u|f)&(f>(g&d)))>(d&(f|d))))
| 1 | 1 | 1 | 0 |
entailment
|
~((m>(g|(~(u)|d))))
|
(m|((((u&u)|~((u>u)))&(d|f))&~(g)))
| 1 | 0 | 0 | 0 |
entailment
|
(((g>g)>d)&(~(~(d))&((m>u)>((m>g)>f))))
|
(m|((((u&u)|~((u>u)))&(d|f))&~(g)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((m>(g|(~(u)|d))))
|
(u>(((u|f)&(f>(g&d)))>(d&(f|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((u&(g|d)))|((g|f)>u))&((d>(f|g))>d))
|
((g&~((g>d)))>(g&(d&m)))
| 1 | 1 | 0 | 0 |
entailment
|
~((f>(~(g)|m)))
|
(((m&~(f))&(u|f))|f)
| 1 | 0 | 0 | 0 |
entailment
|
((~((u&(g|d)))|((g|f)>u))&((d>(f|g))>d))
|
(((m&~(f))&(u|f))|f)
| 0 | 1 | 0 | 0 |
not entailment
|
~((f>(~(g)|m)))
|
((g&~((g>d)))>(g&(d&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u|(((d&u)|g)>~(((u|m)|u))))>d))
|
~((d&f))
| 1 | 1 | 0 | 0 |
entailment
|
((f|g)&g)
|
~(~(((f|u)|g)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u|(((d&u)|g)>~(((u|m)|u))))>d))
|
~(~(((f|u)|g)))
| 0 | 1 | 0 | 0 |
not entailment
|
((f|g)&g)
|
~((d&f))
| 0 | 1 | 0 | 0 |
not entailment
|
~((u>~((f>((((m&g)|u)|(d&d))>(g>u))))))
|
(~(~((g|~(~(u)))))|~(f))
| 1 | 1 | 1 | 0 |
entailment
|
~(((f&d)>m))
|
(((d|d)&~((u>g)))|(~(~(g))>d))
| 1 | 0 | 0 | 0 |
entailment
|
~((u>~((f>((((m&g)|u)|(d&d))>(g>u))))))
|
(((d|d)&~((u>g)))|(~(~(g))>d))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((f&d)>m))
|
(~(~((g|~(~(u)))))|~(f))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((d>f)|d)>g)&(((g>d)>g)>d))&d)
|
((g|~((d>g)))|g)
| 1 | 1 | 1 | 1 |
entailment
|
~(((f>~(~((d|~((u|d))))))|~(u)))
|
(m>u)
| 1 | 1 | 0 | 0 |
entailment
|
(((((d>f)|d)>g)&(((g>d)>g)>d))&d)
|
(m>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f>~(~((d|~((u|d))))))|~(u)))
|
((g|~((d>g)))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>~(~(f))))
|
(~(f)|((~(~(d))>u)&(u|g)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(f))
|
~(((g>(m>(f|m)))&~(~((d&~((u>f)))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((d>~(~(f))))
|
~(((g>(m>(f|m)))&~(~((d&~((u>f)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(f))
|
(~(f)|((~(~(d))>u)&(u|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(y&r))
|
((((y&r)&y)>((c|y)>c))>y)
| 1 | 0 | 0 | 0 |
entailment
|
(((r&(y&c))|(((c>c)|y)|~(y)))&~((c>r)))
|
((((c&c)|r)&~(~((y|c))))&c)
| 1 | 1 | 1 | 1 |
entailment
|
(y&(y&r))
|
((((c&c)|r)&~(~((y|c))))&c)
| 0 | 0 | 0 | 0 |
not entailment
|
(((r&(y&c))|(((c>c)|y)|~(y)))&~((c>r)))
|
((((y&r)&y)>((c|y)>c))>y)
| 0 | 1 | 1 | 1 |
not entailment
|
((c|(r>c))&y)
|
(y|(c|~(((r>((c>~(y))|y))|(y|(r>c))))))
| 1 | 0 | 1 | 0 |
entailment
|
((~((c|r))&c)|r)
|
(((r|(c|r))&y)|(y>r))
| 1 | 0 | 0 | 0 |
entailment
|
((c|(r>c))&y)
|
(((r|(c|r))&y)|(y>r))
| 0 | 0 | 1 | 0 |
not entailment
|
((~((c|r))&c)|r)
|
(y|(c|~(((r>((c>~(y))|y))|(y|(r>c))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((c|r))|(r|r)))
|
(r>((r&r)&(c&c)))
| 1 | 1 | 1 | 1 |
entailment
|
(((c&c)|(y>y))>r)
|
(~(r)>((c&c)&(c&(y|y))))
| 1 | 0 | 1 | 0 |
entailment
|
~((~((c|r))|(r|r)))
|
(~(r)>((c&c)&(c&(y|y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((c&c)|(y>y))>r)
|
(r>((r&r)&(c&c)))
| 0 | 1 | 1 | 0 |
not entailment
|
((c&r)&((r&y)>c))
|
(~(c)>~(~(~((y|((r|c)>y))))))
| 1 | 0 | 1 | 1 |
entailment
|
((y&r)&((y>r)>y))
|
((((r>r)&r)|y)&((c|~(c))&y))
| 1 | 0 | 0 | 0 |
entailment
|
((c&r)&((r&y)>c))
|
((((r>r)&r)|y)&((c|~(c))&y))
| 0 | 0 | 1 | 0 |
not entailment
|
((y&r)&((y>r)>y))
|
(~(c)>~(~(~((y|((r|c)>y))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((r|r))>~((y|c)))>(c>(y>y)))>(y&c))
|
((y|r)&(((c&((c>y)|r))|((y>c)&y))&y))
| 1 | 1 | 1 | 1 |
entailment
|
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