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