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
~((w|(e|(d|(x>k)))))
~((d&b))
1
1
0
0
entailment
(~((j>(b&w)))&((((s>e)>m)|(s|m))>k))
(f|j)
1
1
0
0
entailment
~((w|(e|(d|(x>k)))))
(f|j)
0
1
0
0
not entailment
(~((j>(b&w)))&((((s>e)>m)|(s|m))>k))
~((d&b))
0
1
0
0
not entailment
~(~((((f&i)&k)&((k>((o|(e&e))|o))>o))))
(((i>(o&f))&i)>k)
1
1
1
0
entailment
(~((((k&o)&(((o&i)&k)|l))|b))|(b&o))
((((e&l)>e)>(b|b))>o)
1
1
0
0
entailment
~(~((((f&i)&k)&((k>((o|(e&e))|o))>o))))
((((e&l)>e)>(b|b))>o)
0
1
0
0
not entailment
(~((((k&o)&(((o&i)&k)|l))|b))|(b&o))
(((i>(o&f))&i)>k)
0
1
0
0
not entailment
~((~((f|e))>~((~(i)|l))))
(~(e)>((i|b)>~(f)))
1
1
0
0
entailment
~(~((((f>(f>f))|(~((l>k))>i))>k)))
(((~((i>e))>(~((l|i))|k))&(i|l))>k)
1
1
0
0
entailment
~((~((f|e))>~((~(i)|l))))
(((~((i>e))>(~((l|i))|k))&(i|l))>k)
0
0
0
0
not entailment
~(~((((f>(f>f))|(~((l>k))>i))>k)))
(~(e)>((i|b)>~(f)))
0
1
0
0
not entailment
~(((((o&l)&f)|((o>(o&f))>b))|(f|(e>l))))
(~((~(o)|b))|~(o))
1
1
1
1
entailment
~((((i&l)&i)>~((l&i))))
(i|f)
1
1
0
0
entailment
~(((((o&l)&f)|((o>(o&f))>b))|(f|(e>l))))
(i|f)
0
1
0
0
not entailment
~((((i&l)&i)>~((l&i))))
(~((~(o)|b))|~(o))
0
1
0
0
not entailment
~(((k|(o>(e>~(f))))|(k|~((i|l)))))
(o>((f>b)>(e&e)))
1
1
0
0
entailment
((i|((k|e)>b))&((k|o)&l))
((((k&i)|i)|~(i))>l)
1
1
1
0
entailment
~(((k|(o>(e>~(f))))|(k|~((i|l)))))
((((k&i)|i)|~(i))>l)
0
1
1
0
not entailment
((i|((k|e)>b))&((k|o)&l))
(o>((f>b)>(e&e)))
0
1
0
0
not entailment
((k&b)&(((o&~((k&f)))|o)&(f&e)))
((((o>f)&b)|e)|~(~((b>((e|l)|~(o))))))
1
0
0
0
entailment
~(((o>i)|(i&(f|(k>k)))))
(~(i)|~(f))
1
1
1
1
entailment
((k&b)&(((o&~((k&f)))|o)&(f&e)))
(~(i)|~(f))
0
1
0
0
not entailment
~(((o>i)|(i&(f|(k>k)))))
((((o>f)&b)|e)|~(~((b>((e|l)|~(o))))))
0
0
0
0
not entailment
((~(((o&e)>l))&(b>e))&(k&o))
((l>(b&~(f)))&(i|o))
1
1
0
0
entailment
(((l|o)&(k&b))&~(~(~(f))))
(((k|f)&(i&(i&(e>b))))|~((f|i)))
1
0
0
0
entailment
((~(((o&e)>l))&(b>e))&(k&o))
(((k|f)&(i&(i&(e>b))))|~((f|i)))
0
0
0
0
not entailment
(((l|o)&(k&b))&~(~(~(f))))
((l>(b&~(f)))&(i|o))
0
1
0
0
not entailment
(~(f)&((o&k)&(b>i)))
(~(k)>((k&o)&l))
1
1
0
0
entailment
~((o&k))
~(((~((o>~(~(l))))&e)&((~(f)|l)&k)))
1
0
0
0
entailment
(~(f)&((o&k)&(b>i)))
~(((~((o>~(~(l))))&e)&((~(f)|l)&k)))
0
0
0
0
not entailment
~((o&k))
(~(k)>((k&o)&l))
0
0
0
0
not entailment
(o&b)
((f|(k>l))>o)
1
0
0
0
entailment
~((k>~((e&b))))
(~(k)>~(o))
1
1
0
0
entailment
(o&b)
(~(k)>~(o))
0
0
0
0
not entailment
~((k>~((e&b))))
((f|(k>l))>o)
0
1
0
0
not entailment
((o&i)&k)
(~((~(e)|b))>k)
1
0
0
0
entailment
(f&(e>(~((b&l))&e)))
((e>(((i>o)&o)>~(((k&(e>(e&f)))>k))))>f)
1
0
0
0
entailment
((o&i)&k)
((e>(((i>o)&o)>~(((k&(e>(e&f)))>k))))>f)
0
0
0
0
not entailment
(f&(e>(~((b&l))&e)))
(~((~(e)|b))>k)
0
1
0
0
not entailment
((f&e)&b)
(e|(o>k))
1
1
0
0
entailment
~(((k|~(b))|~(((~(~((k&k)))>f)&i))))
(~(~(~((o&(k|~((b|i)))))))>(~(k)|i))
1
1
0
0
entailment
((f&e)&b)
(~(~(~((o&(k|~((b|i)))))))>(~(k)|i))
0
0
0
0
not entailment
~(((k|~(b))|~(((~(~((k&k)))>f)&i))))
(e|(o>k))
0
1
0
0
not entailment
((e|(l|i))&((e&k)&k))
(i|e)
1
1
1
1
entailment
(~(~(((b&f)|~((i|f)))))&~(((i|f)>l)))
(~((~(e)&(b&(l&f))))&(b|(l>o)))
1
1
0
0
entailment
((e|(l|i))&((e&k)&k))
(~((~(e)&(b&(l&f))))&(b|(l>o)))
0
0
0
0
not entailment
(~(~(((b&f)|~((i|f)))))&~(((i|f)>l)))
(i|e)
0
1
0
0
not entailment
~(((o|b)|((f|i)&(f|(l>(l&i))))))
~(((o&((o>~(o))&i))|o))
1
1
1
0
entailment
(f&(((e&(f|i))|~(~(k)))&(~(b)>(b>k))))
(k>~(~(f)))
1
1
1
0
entailment
~(((o|b)|((f|i)&(f|(l>(l&i))))))
(k>~(~(f)))
0
1
0
0
not entailment
(f&(((e&(f|i))|~(~(k)))&(~(b)>(b>k))))
~(((o&((o>~(o))&i))|o))
0
1
0
0
not entailment
~((k|(l|i)))
((i|(o>(o|f)))>(((k&i)|(~(o)|k))|(l>e)))
1
0
0
0
entailment
((((e>k)&e)>i)&(o&(o>(k|b))))
(o|o)
1
1
1
1
entailment
~((k|(l|i)))
(o|o)
0
1
0
0
not entailment
((((e>k)&e)>i)&(o&(o>(k|b))))
((i|(o>(o|f)))>(((k&i)|(~(o)|k))|(l>e)))
0
0
0
0
not entailment
~(o)
(o>((i&~(~(b)))|(e|k)))
1
0
0
0
entailment
((o>i)>(~((b>(i|o)))&l))
(((o&i)>(l|f))&((i&(k>l))>k))
1
0
0
0
entailment
~(o)
(((o&i)>(l|f))&((i&(k>l))>k))
0
0
0
0
not entailment
((o>i)>(~((b>(i|o)))&l))
(o>((i&~(~(b)))|(e|k)))
0
1
0
0
not entailment
(k&~((k>i)))
(((~((b>(b&i)))&~(i))&(f&o))|(o|k))
1
0
0
0
entailment
(((b&l)&((i|(e>i))&(b|b)))&~((k&e)))
(b|~((l>~(k))))
1
1
1
0
entailment
(k&~((k>i)))
(b|~((l>~(k))))
0
0
0
0
not entailment
(((b&l)&((i|(e>i))&(b|b)))&~((k&e)))
(((~((b>(b&i)))&~(i))&(f&o))|(o|k))
0
1
0
0
not entailment
(((k&(e|l))&(o&(l|~((e&l)))))&o)
((b|(b|o))>~((i&(f&~(o)))))
1
1
0
0
entailment
(b&e)
(((b|b)|~(~(l)))|~(k))
1
0
0
0
entailment
(((k&(e|l))&(o&(l|~((e&l)))))&o)
(((b|b)|~(~(l)))|~(k))
0
1
0
0
not entailment
(b&e)
((b|(b|o))>~((i&(f&~(o)))))
0
0
0
0
not entailment
(((l>i)&e)&(o&~(~(k))))
((e&o)|f)
1
1
0
0
entailment
(((i&i)&b)|~((k|((~(e)>o)|(i&b)))))
(((k>b)&f)>((i|~((f>~(~(e)))))&(f|f)))
1
0
0
0
entailment
(((l>i)&e)&(o&~(~(k))))
(((k>b)&f)>((i|~((f>~(~(e)))))&(f|f)))
0
0
0
0
not entailment
(((i&i)&b)|~((k|((~(e)>o)|(i&b)))))
((e&o)|f)
0
1
0
0
not entailment
(k&a)
((~(~(~(~(j))))&(a|k))|(k&a))
1
0
0
0
entailment
((j&p)|((c|c)&p))
~(~(~((~((o|(l>p)))&(o|l)))))
1
0
0
0
entailment
(k&a)
~(~(~((~((o|(l>p)))&(o|l)))))
0
0
0
0
not entailment
((j&p)|((c|c)&p))
((~(~(~(~(j))))&(a|k))|(k&a))
0
0
0
0
not entailment
(p&(o>p))
(~((~(j)|(a|c)))>p)
1
0
0
0
entailment
(k|(o&((k&a)&(~(j)|~(l)))))
(((k&a)&o)|((p>k)|l))
1
1
0
0
entailment
(p&(o>p))
(((k&a)&o)|((p>k)|l))
0
0
0
0
not entailment
(k|(o&((k&a)&(~(j)|~(l)))))
(~((~(j)|(a|c)))>p)
0
1
0
0
not entailment
~((p>k))
(p&((c&k)>a))
1
0
0
0
entailment
(~((l>(c>~(l))))&~(~(~((k>o)))))
(c&(k>k))
1
1
1
0
entailment
~((p>k))
(c&(k>k))
0
1
0
0
not entailment
(~((l>(c>~(l))))&~(~(~((k>o)))))
(p&((c&k)>a))
0
1
0
0
not entailment
(p&(~(c)|c))
(o|p)
1
1
0
0
entailment
(~((j>(c&o)))&~(~(~((o&c)))))
~(~(((a|((c&o)>(o>a)))|(((l|j)>c)&a))))
1
0
0
0
entailment
(p&(~(c)|c))
~(~(((a|((c&o)>(o>a)))|(((l|j)>c)&a))))
0
0
0
0
not entailment
(~((j>(c&o)))&~(~(~((o&c)))))
(o|p)
0
1
0
0
not entailment
~(((j&c)>~(p)))
((~(a)&(p|c))>(~((p>k))|p))
1
0
0
0
entailment
~((~(a)>(~((o&l))>((j|(j&c))&a))))
(((k>p)&j)>(~((~(a)&l))>(l>k)))
1
1
0
0
entailment
~(((j&c)>~(p)))
(((k>p)&j)>(~((~(a)&l))>(l>k)))
0
0
0
0
not entailment
~((~(a)>(~((o&l))>((j|(j&c))&a))))
((~(a)&(p|c))>(~((p>k))|p))
0
1
0
0
not entailment
((p&((p|k)>(a&k)))|(a&(p>l)))
(~(~(~(a)))>p)
1
1
1
1
entailment
(l&~(j))
((~((p|a))|p)|(j>p))
1
0
0
0
entailment
((p&((p|k)>(a&k)))|(a&(p>l)))
((~((p|a))|p)|(j>p))
0
1
0
0
not entailment
(l&~(j))
(~(~(~(a)))>p)
0
0
0
0
not entailment
(a&c)
((~(p)|((((o&p)>(k&a))|c)|~(o)))|(c|j))
1
0
0
0
entailment
~(~(((((k>(o|j))>p)|o)&(p&k))))
((((a&c)&l)&~((k>p)))>(p|o))
1
1
0
0
entailment
(a&c)
((((a&c)&l)&~((k>p)))>(p|o))
0
0
0
0
not entailment
~(~(((((k>(o|j))>p)|o)&(p&k))))
((~(p)|((((o&p)>(k&a))|c)|~(o)))|(c|j))
0
0
0
0
not entailment