Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files
xet
Community
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
(~((e>b))&r)
~((~(b)&p))
0
1
0
0
not entailment
~(((e|(b>e))|e))
(~(~((b>~(r))))|(~((f>((u|e)&f)))|p))
0
0
0
0
not entailment
(f&~(e))
(p|f)
1
1
0
0
entailment
((e|b)&~((f|b)))
((p|e)>((p|p)>e))
1
1
0
0
entailment
(f&~(e))
((p|e)>((p|p)>e))
0
0
0
0
not entailment
((e|b)&~((f|b)))
(p|f)
0
1
0
0
not entailment
(e&(f&(b|e)))
((u&u)|(~(u)&f))
1
0
0
0
entailment
~((u|(e&(b>p))))
((u&f)>((~((f&(p|r)))&p)|(u&b)))
1
0
0
0
entailment
(e&(f&(b|e)))
((u&f)>((~((f&(p|r)))&p)|(u&b)))
0
0
0
0
not entailment
~((u|(e&(b>p))))
((u&u)|(~(u)&f))
0
1
0
0
not entailment
((b|b)|((r>r)>r))
(u|(~(u)&((r|f)|b)))
1
0
0
0
entailment
~((p|(r|r)))
(~((((p>b)|p)&r))|(((u>e)&(u|p))&(p>e)))
1
0
0
0
entailment
((b|b)|((r>r)>r))
(~((((p>b)|p)&r))|(((u>e)&(u|p))&(p>e)))
0
0
0
0
not entailment
~((p|(r|r)))
(u|(~(u)&((r|f)|b)))
0
0
0
0
not entailment
~(((f|u)>b))
~(~(~(b)))
1
1
1
1
entailment
(((b>u)&r)&(r&u))
((e>f)>(u&u))
1
1
0
0
entailment
~(((f|u)>b))
((e>f)>(u&u))
0
1
0
0
not entailment
(((b>u)&r)&(r&u))
~(~(~(b)))
0
1
1
1
not entailment
(f&(b>~(((p>p)|(f&b)))))
~(((b&(b|u))&e))
1
1
0
0
entailment
(f&b)
(((~(u)>u)&(f&p))|((e>f)>b))
1
0
0
0
entailment
(f&(b>~(((p>p)|(f&b)))))
(((~(u)>u)&(f&p))|((e>f)>b))
0
0
0
0
not entailment
(f&b)
~(((b&(b|u))&e))
0
0
0
0
not entailment
~((((~(k)&(t&t))>k)&(u>f)))
((((~(f)>(f>u))>k)&((k>t)>k))|((t|u)|k))
1
0
1
0
entailment
(~((~(f)&~(f)))|f)
~(~((~(f)>u)))
1
1
0
0
entailment
~((((~(k)&(t&t))>k)&(u>f)))
~(~((~(f)>u)))
0
1
1
0
not entailment
(~((~(f)&~(f)))|f)
((((~(f)>(f>u))>k)&((k>t)>k))|((t|u)|k))
0
0
0
0
not entailment
(~(t)&(f>(f|((k|f)&t))))
(t>(((f|((t|t)&u))>f)|(u&(k&f))))
1
0
0
0
entailment
~((k>~(((k>~(f))>~(~(t))))))
(~(~(k))|(~(k)>~(f)))
1
1
1
0
entailment
(~(t)&(f>(f|((k|f)&t))))
(~(~(k))|(~(k)>~(f)))
0
1
1
1
not entailment
~((k>~(((k>~(f))>~(~(t))))))
(t>(((f|((t|t)&u))>f)|(u&(k&f))))
0
1
0
0
not entailment
((f>u)&~(((u|f)>t)))
(t>u)
1
1
1
1
entailment
(((k>f)>f)&~(u))
(((u|u)&k)>f)
1
1
1
0
entailment
((f>u)&~(((u|f)>t)))
(((u|u)&k)>f)
0
1
0
0
not entailment
(((k>f)>f)&~(u))
(t>u)
0
1
0
0
not entailment
~((~((u>t))>(f|(k|~(u)))))
(t>((((t&f)&(k&f))&k)&~((u>~((u|u))))))
1
0
1
0
entailment
(f&(k>k))
(u>f)
1
1
0
0
entailment
~((~((u>t))>(f|(k|~(u)))))
(u>f)
0
1
1
0
not entailment
(f&(k>k))
(t>((((t&f)&(k&f))&k)&~((u>~((u|u))))))
0
0
0
0
not entailment
(~((u>(u&(t>k))))|f)
((t>u)|(~(u)>f))
1
1
1
0
entailment
(t&t)
((t|k)|(~((u&f))&f))
1
0
0
0
entailment
(~((u>(u&(t>k))))|f)
((t|k)|(~((u&f))&f))
0
1
1
0
not entailment
(t&t)
((t>u)|(~(u)>f))
0
0
0
0
not entailment
(k&((k>(k|~(u)))>u))
(((f&f)>u)&(k|t))
1
1
0
0
entailment
((f|f)&k)
(((f|f)&f)|t)
1
0
0
0
entailment
(k&((k>(k|~(u)))>u))
(((f|f)&f)|t)
0
1
0
0
not entailment
((f|f)&k)
(((f&f)>u)&(k|t))
0
0
0
0
not entailment
(~(((k|~(t))>~((t&u))))&((k|f)>(t&f)))
(k&t)
1
1
1
1
entailment
(~(((u>k)|~(t)))&(u|(k>u)))
(~(((t>u)>(t&t)))|~((t&(k&k))))
1
0
1
0
entailment
(~(((k|~(t))>~((t&u))))&((k|f)>(t&f)))
(~(((t>u)>(t&t)))|~((t&(k&k))))
0
1
1
1
not entailment
(~(((u>k)|~(t)))&(u|(k>u)))
(k&t)
0
1
1
0
not entailment
(k&((f&t)|u))
((k|k)&(u|(f&k)))
1
0
1
1
entailment
~((((f&f)>((f|k)&(u>t)))&(t&(k&(t>t)))))
~(~((((u>u)>u)>(((u>k)&t)>f))))
1
1
1
0
entailment
(k&((f&t)|u))
~(~((((u>u)>u)>(((u>k)&t)>f))))
0
0
1
0
not entailment
~((((f&f)>((f|k)&(u>t)))&(t&(k&(t>t)))))
((k|k)&(u|(f&k)))
0
1
1
0
not entailment
~(((f>t)|((f>u)&(f&(t|f)))))
(~(~((((f|t)&u)>k)))&f)
1
1
0
0
entailment
(((~((t&(k>u)))>f)|k)&u)
(((f|f)>(u&u))|(k&t))
1
1
1
0
entailment
~(((f>t)|((f>u)&(f&(t|f)))))
(((f|f)>(u&u))|(k&t))
0
1
0
0
not entailment
(((~((t&(k>u)))>f)|k)&u)
(~(~((((f|t)&u)>k)))&f)
0
1
1
0
not entailment
(t>f)
((f|f)|((~(t)|f)|(~((f>t))&u)))
1
0
0
0
entailment
((~(f)>~(((f&u)&f)))&k)
(k|(u|u))
1
1
1
0
entailment
(t>f)
(k|(u|u))
0
0
0
0
not entailment
((~(f)>~(((f&u)&f)))&k)
((f|f)|((~(t)|f)|(~((f>t))&u)))
0
0
0
0
not entailment
(f&u)
(((t&k)&k)>(~(k)|u))
1
0
0
0
entailment
((t|t)&((f|u)|~(~((f|~((u>u)))))))
((t|(u>k))|(f>t))
1
1
0
0
entailment
(f&u)
((t|(u>k))|(f>t))
0
0
0
0
not entailment
((t|t)&((f|u)|~(~((f|~((u>u)))))))
(((t&k)&k)>(~(k)|u))
0
1
0
0
not entailment
(~((u>(f>u)))|~(t))
~((((f>f)>(((u&(k&t))&f)&t))|t))
1
0
0
0
entailment
((((f>(t>k))&~(((f>u)>k)))|~((t&k)))&u)
((u&((t&k)>((t>u)&u)))&u)
1
1
1
1
entailment
(~((u>(f>u)))|~(t))
((u&((t&k)>((t>u)&u)))&u)
0
0
0
0
not entailment
((((f>(t>k))&~(((f>u)>k)))|~((t&k)))&u)
~((((f>f)>(((u&(k&t))&f)&t))|t))
0
1
1
0
not entailment
~((~(t)>(k|k)))
((t|(((k|t)&(f&f))|k))>~(((f|f)&u)))
1
0
0
0
entailment
((f>f)&f)
(~((f>k))|k)
1
0
0
0
entailment
~((~(t)>(k|k)))
(~((f>k))|k)
0
1
0
0
not entailment
((f>f)&f)
((t|(((k|t)&(f&f))|k))>~(((f|f)&u)))
0
0
0
0
not entailment
(u&((~(u)>u)&k))
((t&k)>(k>u))
1
1
0
0
entailment
(k>(t|(f&~(k))))
~((k&~((~(~(k))>(k&(~((f&t))>t))))))
1
0
1
0
entailment
(u&((~(u)>u)&k))
~((k&~((~(~(k))>(k&(~((f&t))>t))))))
0
0
0
0
not entailment
(k>(t|(f&~(k))))
((t&k)>(k>u))
0
1
0
0
not entailment
~((((f>t)&(k&u))|(~(~(f))>(f&t))))
((k|u)|((u>(f>f))&f))
1
1
1
0
entailment
~((~(~((t&(k&k))))|(f&f)))
(f>(u&f))
1
1
0
0
entailment
~((((f>t)&(k&u))|(~(~(f))>(f&t))))
(f>(u&f))
0
1
1
0
not entailment
~((~(~((t&(k&k))))|(f&f)))
((k|u)|((u>(f>f))&f))
0
1
0
0
not entailment
(u|t)
(k|~(~(((t|f)|(u|f)))))
1
0
0
0
entailment
(k>~(((k|(t>t))&(f|t))))
~(~(((k&t)>(u|f))))
1
1
0
0
entailment
(u|t)
~(~(((k&t)>(u|f))))
0
0
0
0
not entailment
(k>~(((k|(t>t))&(f|t))))
(k|~(~(((t|f)|(u|f)))))
0
1
0
0
not entailment
(~((u|(o>b)))&(b>(b>j)))
(b>(b>e))
1
1
0
0
entailment
(j&~(((u>v)|((u&o)|v))))
(u&((e>b)>(j&(u&(v|j)))))
1
1
0
0
entailment
(~((u|(o>b)))&(b>(b>j)))
(u&((e>b)>(j&(u&(v|j)))))
0
1
0
0
not entailment
(j&~(((u>v)|((u&o)|v))))
(b>(b>e))
0
1
0
0
not entailment
~((~(~(e))|(((((o|u)|u)|v)|(o|v))>b)))
(((o&e)>(j&(u&o)))|(b&~((v|j))))
1
1
0
0
entailment
(b&(u&v))
(((b&(e>v))>o)>v)
1
0
0
0
entailment
~((~(~(e))|(((((o|u)|u)|v)|(o|v))>b)))
(((b&(e>v))>o)>v)
0
1
1
0
not entailment
(b&(u&v))
(((o&e)>(j&(u&o)))|(b&~((v|j))))
0
0
0
0
not entailment
~((b|((v>j)|j)))
(e>v)
1
1
0
0
entailment
(((o>u)&(j|j))&(b&j))
(~((u>~(v)))|(j&((b&b)|v)))
1
0
0
0
entailment
~((b|((v>j)|j)))
(~((u>~(v)))|(j&((b&b)|v)))
0
0
0
0
not entailment
(((o>u)&(j|j))&(b&j))
(e>v)
0
1
0
0
not entailment
(~(e)&o)
(b|o)
1
1
0
0
entailment
(((j&(u|o))&((b|u)>v))&(e|u))
(v>((v|(v&v))&(j&((e|j)&v))))
1
1
1
0
entailment