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 |
|---|---|---|---|---|---|---|
((d>(q>(b>k)))>~(u))
|
(((b|(b&w))>((b&d)|j))|((u|d)>w))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(k))
|
(((b|(b&w))>((b&d)|j))|((u|d)>w))
| 0 | 0 | 0 | 0 |
not entailment
|
((d>(q>(b>k)))>~(u))
|
(b>k)
| 0 | 1 | 1 | 0 |
not entailment
|
(u&(u>((k|u)>w)))
|
(((~(b)>b)>u)|(q>(d&b)))
| 1 | 0 | 0 | 0 |
entailment
|
(q&q)
|
(~((b>d))>~((q>d)))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(u>((k|u)>w)))
|
(~((b>d))>~((q>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&q)
|
(((~(b)>b)>u)|(q>(d&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(u)|~((((~(b)&w)&d)&u))))
|
~(~((d|~(w))))
| 1 | 1 | 1 | 0 |
entailment
|
(~((j&d))&(k>(((~(w)&(w|d))&d)&~(w))))
|
((d&d)>~((w&k)))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(u)|~((((~(b)&w)&d)&u))))
|
((d&d)>~((w&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((j&d))&(k>(((~(w)&(w|d))&d)&~(w))))
|
~(~((d|~(w))))
| 0 | 1 | 1 | 1 |
not entailment
|
((w>u)&(w|q))
|
((w>j)>(b>((q|(j&u))|(u>j))))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(((w|d)&d)>j))
|
((d>b)|(~((k>k))|(b|k)))
| 1 | 0 | 0 | 0 |
entailment
|
((w>u)&(w|q))
|
((d>b)|(~((k>k))|(b|k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(((w|d)&d)>j))
|
((w>j)>(b>((q|(j&u))|(u>j))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~(u)|((k>w)>w)))))
|
(((q&w)&k)>~(~(d)))
| 1 | 1 | 0 | 0 |
entailment
|
((q&~(u))&((b&w)|~((q|w))))
|
(~((u&(u>k)))&((u>(d|w))|(b|d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~(u)|((k>w)>w)))))
|
(~((u&(u>k)))&((u>(d|w))|(b|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((q&~(u))&((b&w)|~((q|w))))
|
(((q&w)&k)>~(~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((w&(k>w))&(((q&b)&(q>(u&~((u>k)))))&q))
|
((b|k)&w)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((((b&q)|b)|d)&j)))
|
(j|d)
| 1 | 1 | 1 | 1 |
entailment
|
((w&(k>w))&(((q&b)&(q>(u&~((u>k)))))&q))
|
(j|d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((((b&q)|b)|d)&j)))
|
((b|k)&w)
| 0 | 1 | 0 | 0 |
not entailment
|
(((j>d)>~((((j&j)|j)>(u&u))))|j)
|
(((k&~(j))&(j>d))>j)
| 1 | 1 | 0 | 0 |
entailment
|
~((d&~(~((d|(k>b))))))
|
((k>b)|~(((w|(d&k))&(d&(q|q)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((j>d)>~((((j&j)|j)>(u&u))))|j)
|
((k>b)|~(((w|(d&k))&(d&(q|q)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((d&~(~((d|(k>b))))))
|
(((k&~(j))&(j>d))>j)
| 0 | 1 | 0 | 0 |
not entailment
|
(((u>(u|((d|((w>u)&q))>u)))&(q&j))&b)
|
((d&(w|(k|d)))|(((k&j)>((q&q)>d))>q))
| 1 | 1 | 0 | 0 |
entailment
|
((d&((q|b)&b))|(u&(k|w)))
|
((u|d)|(((q>b)>w)|k))
| 1 | 1 | 1 | 0 |
entailment
|
(((u>(u|((d|((w>u)&q))>u)))&(q&j))&b)
|
((u|d)|(((q>b)>w)|k))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&((q|b)&b))|(u&(k|w)))
|
((d&(w|(k|d)))|(((k&j)>((q&q)>d))>q))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&((q&b)&(k>~(u))))
|
(~(((d>(d&d))>(b>d)))|(q&q))
| 1 | 0 | 0 | 0 |
entailment
|
~((d>((d&((q|d)>u))>(u>(d&~(b))))))
|
~(((b>d)>(~(u)&(b>u))))
| 1 | 1 | 1 | 0 |
entailment
|
(u&((q&b)&(k>~(u))))
|
~(((b>d)>(~(u)&(b>u))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((d>((d&((q|d)>u))>(u>(d&~(b))))))
|
(~(((d>(d&d))>(b>d)))|(q&q))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((q|b))&(~((d>u))>w))|((w>d)&q))
|
((u&((q>(w|b))>d))>~(((b&~(q))&d)))
| 1 | 1 | 1 | 0 |
entailment
|
((k|(w&j))&b)
|
(d|b)
| 1 | 1 | 0 | 0 |
entailment
|
((~((q|b))&(~((d>u))>w))|((w>d)&q))
|
(d|b)
| 0 | 1 | 1 | 0 |
not entailment
|
((k|(w&j))&b)
|
((u&((q>(w|b))>d))>~(((b&~(q))&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&f)
|
((r|(b&f))|(f&b))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(~((r|r))&k))
|
(b>((k|d)&k))
| 1 | 1 | 0 | 0 |
entailment
|
(b&f)
|
(b>((k|d)&k))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(~((r|r))&k))
|
((r|(b&f))|(f&b))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((f&f)|d))
|
((f&f)|(d>(b&b)))
| 1 | 0 | 0 | 0 |
entailment
|
((f>f)>~((((g>k)&(d&r))>(b&k))))
|
((r&k)|~(~((k|d))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((f&f)|d))
|
((r&k)|~(~((k|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((f>f)>~((((g>k)&(d&r))>(b&k))))
|
((f&f)|(d>(b&b)))
| 0 | 1 | 1 | 0 |
not entailment
|
(b|b)
|
(~((g>f))|(b|d))
| 1 | 0 | 0 | 0 |
entailment
|
~((((k&g)&(g>(g|k)))|r))
|
(~(~((r&r)))>d)
| 1 | 1 | 0 | 0 |
entailment
|
(b|b)
|
(~(~((r&r)))>d)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((k&g)&(g>(g|k)))|r))
|
(~((g>f))|(b|d))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r|g))
|
(r|~(g))
| 1 | 1 | 1 | 0 |
entailment
|
~(((r|~(b))|~(g)))
|
(g|(b&k))
| 1 | 1 | 0 | 0 |
entailment
|
~((r|g))
|
(g|(b&k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r|~(b))|~(g)))
|
(r|~(g))
| 0 | 1 | 1 | 0 |
not entailment
|
((d|(k|b))&(f&g))
|
((d>((b>(r|k))&(b&(r&f))))|(r>g))
| 1 | 0 | 0 | 0 |
entailment
|
((b&d)&(b&k))
|
(b>((g>k)&d))
| 1 | 1 | 0 | 0 |
entailment
|
((d|(k|b))&(f&g))
|
(b>((g>k)&d))
| 0 | 1 | 1 | 0 |
not entailment
|
((b&d)&(b&k))
|
((d>((b>(r|k))&(b&(r&f))))|(r>g))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|r)>((r&d)&(r|(r|f))))
|
((~((k|f))>r)|((b|b)>d))
| 1 | 1 | 0 | 0 |
entailment
|
(~(d)&((g&(((r>k)&d)|g))|((d|d)&k)))
|
~(((f&(g>d))&g))
| 1 | 1 | 0 | 0 |
entailment
|
((b|r)>((r&d)&(r|(r|f))))
|
~(((f&(g>d))&g))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(d)&((g&(((r>k)&d)|g))|((d|d)&k)))
|
((~((k|f))>r)|((b|b)>d))
| 0 | 1 | 0 | 0 |
not entailment
|
(r|(r&b))
|
((r>k)>(g|k))
| 1 | 0 | 0 | 0 |
entailment
|
~((d|(k&(r&f))))
|
((d|((g|b)&d))>(f&b))
| 1 | 0 | 0 | 0 |
entailment
|
(r|(r&b))
|
((d|((g|b)&d))>(f&b))
| 0 | 0 | 0 | 0 |
not entailment
|
~((d|(k&(r&f))))
|
((r>k)>(g|k))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((g|f)>~(g))>((r>~(b))|d)))
|
~(~(~(~(~(d)))))
| 1 | 1 | 1 | 1 |
entailment
|
(((b|g)|k)&((f&~(~(((b>b)>f))))|f))
|
((b&k)|f)
| 1 | 1 | 1 | 1 |
entailment
|
~((((g|f)>~(g))>((r>~(b))|d)))
|
((b&k)|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(((b|g)|k)&((f&~(~(((b>b)>f))))|f))
|
~(~(~(~(~(d)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(f|f)
|
((g>f)|(((b>(r&k))|~((g|(k|d))))&k))
| 1 | 0 | 0 | 0 |
entailment
|
~(((r&f)|f))
|
(((d&f)>b)|k)
| 1 | 1 | 0 | 0 |
entailment
|
(f|f)
|
(((d&f)>b)|k)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&f)|f))
|
((g>f)|(((b>(r&k))|~((g|(k|d))))&k))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f|(f>g))|((b|b)|(r>d)))>~((~(b)|g)))
|
(b|b)
| 1 | 1 | 1 | 1 |
entailment
|
((~((((b&r)&b)|r))>k)&d)
|
((~(((r|k)|r))>f)|(~((r|g))>k))
| 1 | 0 | 0 | 0 |
entailment
|
(((f|(f>g))|((b|b)|(r>d)))>~((~(b)|g)))
|
((~(((r|k)|r))>f)|(~((r|g))>k))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((((b&r)&b)|r))>k)&d)
|
(b|b)
| 0 | 1 | 1 | 1 |
not entailment
|
((g>d)&g)
|
((d|~(g))|d)
| 1 | 0 | 1 | 1 |
entailment
|
~((b|(g&((k>g)&b))))
|
~((~(f)&(d&(b&g))))
| 1 | 1 | 0 | 0 |
entailment
|
((g>d)&g)
|
~((~(f)&(d&(b&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b|(g&((k>g)&b))))
|
((d|~(g))|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&d)
|
((g>g)&(((~(b)&g)|d)&r))
| 1 | 0 | 0 | 0 |
entailment
|
(f&((r>r)>d))
|
(~(b)>f)
| 1 | 1 | 0 | 0 |
entailment
|
(r&d)
|
(~(b)>f)
| 0 | 0 | 0 | 0 |
not entailment
|
(f&((r>r)>d))
|
((g>g)&(((~(b)&g)|d)&r))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((r>g))&~((g&((r>d)|f))))
|
(g>d)
| 1 | 1 | 1 | 0 |
entailment
|
(b&f)
|
(d>f)
| 1 | 1 | 0 | 0 |
entailment
|
(~((r>g))&~((g&((r>d)|f))))
|
(d>f)
| 0 | 1 | 1 | 0 |
not entailment
|
(b&f)
|
(g>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k&(k&b))>(~((f&((k&b)>d)))>d)))
|
(d>r)
| 1 | 1 | 0 | 0 |
entailment
|
(((d|(g&f))&((g&(f|(r>r)))&k))&(b>d))
|
~(~(((~(g)&~(g))>~((r>f)))))
| 1 | 1 | 1 | 0 |
entailment
|
~(((k&(k&b))>(~((f&((k&b)>d)))>d)))
|
~(~(((~(g)&~(g))>~((r>f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d|(g&f))&((g&(f|(r>r)))&k))&(b>d))
|
(d>r)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((d&b)|g))
|
~((~((f|(f&b)))&(g|f)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((d|~(r)))|k)
|
(k|(~(r)>(~(((k>f)&f))|d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d&b)|g))
|
(k|(~(r)>(~(((k>f)&f))|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((d|~(r)))|k)
|
~((~((f|(f&b)))&(g|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(g|g)
|
((~((g>g))|g)|g)
| 1 | 0 | 1 | 0 |
entailment
|
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