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&j)
(((c|c)|((c|e)>c))>(e|(j&e)))
1
0
0
0
entailment
(j&c)
(((c|c)|((c|e)>c))>(e|(j&e)))
0
0
0
0
not entailment
(e&j)
((j>j)&(c|((~((c|j))&(j>(c|c)))|~(j))))
0
0
0
0
not entailment
(c&~(~((~((~(~(e))&j))|l))))
(c&((((c|~(l))|(e|l))|~((e|j)))|c))
1
0
1
0
entailment
~(~(~(~((~(((e&(e|l))>c))|e)))))
((e>((e|(c>e))&((j&e)|c)))>(~((e|j))>e))
1
0
0
0
entailment
(c&~(~((~((~(~(e))&j))|l))))
((e>((e|(c>e))&((j&e)|c)))>(~((e|j))>e))
0
0
1
0
not entailment
~(~(~(~((~(((e&(e|l))>c))|e)))))
(c&((((c|~(l))|(e|l))|~((e|j)))|c))
0
1
0
0
not entailment
~(~((e&(e|(l&l)))))
~((~((~(c)>e))&(j|j)))
1
0
0
0
entailment
~(~(l))
(~(l)>(l|~(e)))
1
0
0
0
entailment
~(~((e&(e|(l&l)))))
(~(l)>(l|~(e)))
0
1
1
0
not entailment
~(~(l))
~((~((~(c)>e))&(j|j)))
0
0
0
0
not entailment
((l>j)>e)
(l|e)
1
1
1
1
entailment
(~(((e&(l>l))|~(c)))&c)
~(~((c|e)))
1
1
1
0
entailment
((l>j)>e)
~(~((c|e)))
0
0
0
0
not entailment
(~(((e&(l>l))|~(c)))&c)
(l|e)
0
1
1
0
not entailment
((c&l)&l)
(l|~((((j>(j&j))&e)&(e|(c&j)))))
1
0
0
0
entailment
((j&(j>c))&(c|l))
(j&c)
1
1
1
1
entailment
((c&l)&l)
(j&c)
0
1
0
0
not entailment
((j&(j>c))&(c|l))
(l|~((((j>(j&j))&e)&(e|(c&j)))))
0
0
0
0
not entailment
(~(~(~((l>e))))>((j>j)&(e&(j|c))))
(l>e)
1
1
1
1
entailment
~(((e|(c|((l|c)|(l>e))))>((e|l)>(l>c))))
((l|~(l))>(l>~(c)))
1
1
1
1
entailment
(~(~(~((l>e))))>((j>j)&(e&(j|c))))
((l|~(l))>(l>~(c)))
0
1
1
0
not entailment
~(((e|(c|((l|c)|(l>e))))>((e|l)>(l>c))))
(l>e)
0
1
1
1
not entailment
~(((e>c)>(l|j)))
(~(l)&~(l))
1
1
1
1
entailment
((j>j)&j)
((~(l)>(c|(c&l)))|((l|j)|l))
1
0
0
0
entailment
~(((e>c)>(l|j)))
((~(l)>(c|(c&l)))|((l|j)|l))
0
0
1
0
not entailment
((j>j)&j)
(~(l)&~(l))
0
0
0
0
not entailment
((l&(f&l))&((l>f)&((f|(f|f))|l)))
(f|l)
1
1
1
1
entailment
(~(l)&~(((f&l)&l)))
~((l&(f|~(((l&f)&(f&(l|l)))))))
1
0
1
0
entailment
((l&(f&l))&((l>f)&((f|(f|f))|l)))
~((l&(f|~(((l&f)&(f&(l|l)))))))
0
1
1
0
not entailment
(~(l)&~(((f&l)&l)))
(f|l)
0
1
1
0
not entailment
~((f|(l>f)))
(l&(~((f&f))|~(~(((f&~(l))>l)))))
1
0
1
1
entailment
~(~(((f|l)&(l>((f&f)&~(f))))))
((f>f)>f)
1
1
1
1
entailment
~((f|(l>f)))
((f>f)>f)
0
1
1
0
not entailment
~(~(((f|l)&(l>((f&f)&~(f))))))
(l&(~((f&f))|~(~(((f&~(l))>l)))))
0
0
1
1
not entailment
(f&(~(((~(l)&l)>l))|~((f>l))))
((l&l)|((l|f)|(f|f)))
1
1
1
1
entailment
((f&f)>~((~(f)|((f&f)&(f|~(l))))))
((l>~((f>l)))>~((f|f)))
1
1
1
1
entailment
(f&(~(((~(l)&l)>l))|~((f>l))))
((l>~((f>l)))>~((f|f)))
0
1
1
0
not entailment
((f&f)>~((~(f)|((f&f)&(f|~(l))))))
((l&l)|((l|f)|(f|f)))
0
1
1
1
not entailment
((((f&l)|l)>~(((f|f)&f)))&l)
~(((f&(f|~(l)))&(l&l)))
1
1
1
1
entailment
((l&((f|l)>(l|f)))&(f&l))
(((l>~(l))|f)&((f|f)&l))
1
1
1
1
entailment
((((f&l)|l)>~(((f|f)&f)))&l)
(((l>~(l))|f)&((f|f)&l))
0
1
1
0
not entailment
((l&((f|l)>(l|f)))&(f&l))
~(((f&(f|~(l)))&(l&l)))
0
1
1
1
not entailment
(~((l&(l&~(l))))>~(~(~((f>(l&f))))))
((l|l)|f)
1
1
1
1
entailment
~(f)
((((f>f)|~(f))|((f|(f>l))|~(l)))>~(f))
1
0
0
0
entailment
(~((l&(l&~(l))))>~(~(~((f>(l&f))))))
((((f>f)|~(f))|((f|(f>l))|~(l)))>~(f))
0
1
1
1
not entailment
~(f)
((l|l)|f)
0
0
0
0
not entailment
(l&l)
~(~((f>l)))
1
0
0
0
entailment
(~(~(((~(l)>(l|l))>l)))&(f&(l|f)))
((f&l)|(((~((f|l))&l)&(f>(l&l)))|f))
1
1
1
0
entailment
(l&l)
((f&l)|(((~((f|l))&l)&(f>(l&l)))|f))
0
0
0
0
not entailment
(~(~(((~(l)>(l|l))>l)))&(f&(l|f)))
~(~((f>l)))
0
1
1
0
not entailment
(((l|f)>(f>f))&l)
((((f&f)&(f|~((f|l))))|l)>l)
1
0
1
1
entailment
~((f>((f|l)&l)))
((l>f)|f)
1
1
1
1
entailment
(((l|f)>(f>f))&l)
((l>f)|f)
0
1
1
1
not entailment
~((f>((f|l)&l)))
((((f&f)&(f|~((f|l))))|l)>l)
0
0
1
0
not entailment
~((((l|f)>l)>(f|l)))
(~((~((l&(f|f)))&l))|f)
1
0
1
0
entailment
~(((l>f)&(f>f)))
((l&l)|(~((f|l))>f))
1
0
1
1
entailment
~((((l|f)>l)>(f|l)))
((l&l)|(~((f|l))>f))
0
1
1
0
not entailment
~(((l>f)&(f>f)))
(~((~((l&(f|f)))&l))|f)
0
0
1
0
not entailment
(f&((f>l)&(f&l)))
(f>l)
1
1
1
1
entailment
(~(((f|(f|f))>(f>l)))&((~(f)>l)&(f|f)))
~(((l|(l|(f&l)))|(f>l)))
1
1
1
0
entailment
(f&((f>l)&(f&l)))
~(((l|(l|(f&l)))|(f>l)))
0
0
1
0
not entailment
(~(((f|(f|f))>(f>l)))&((~(f)>l)&(f|f)))
(f>l)
0
1
1
0
not entailment
~(((((u>k)&~(p))|v)&((z>(p>z))|v)))
((~(i)|(v>~(d)))&((v&v)>s))
1
1
0
0
entailment
(~(~((v|(k|s))))&(((z&d)&u)&((d>s)|v)))
(~(u)>((i>z)>k))
1
1
0
0
entailment
~(((((u>k)&~(p))|v)&((z>(p>z))|v)))
(~(u)>((i>z)>k))
0
1
0
0
not entailment
(~(~((v|(k|s))))&(((z&d)&u)&((d>s)|v)))
((~(i)|(v>~(d)))&((v&v)>s))
0
1
0
0
not entailment
(k&z)
(~(~((k|z)))>z)
1
0
1
0
entailment
((~(p)>u)&((z|i)&(((u>u)>d)&(u>v))))
~(~((~(~(((u>s)>(~(z)|~(s)))))>d)))
1
0
0
0
entailment
(k&z)
~(~((~(~(((u>s)>(~(z)|~(s)))))>d)))
0
0
0
0
not entailment
((~(p)>u)&((z|i)&(((u>u)>d)&(u>v))))
(~(~((k|z)))>z)
0
1
0
0
not entailment
(((u|u)>(s>k))&~((k>v)))
((z>k)>(~(~((~(k)>(u&p))))|((z|p)|v)))
1
0
0
0
entailment
(~(v)&(~(u)>z))
((d|z)|u)
1
1
0
0
entailment
(((u|u)>(s>k))&~((k>v)))
((d|z)|u)
0
1
0
0
not entailment
(~(v)&(~(u)>z))
((z>k)>(~(~((~(k)>(u&p))))|((z|p)|v)))
0
0
0
0
not entailment
(~((i>(s&s)))&(p&(k&z)))
~((((((i&p)|i)&((i|d)>z))>(p|s))&(s&k)))
1
0
0
0
entailment
(((((v|v)&(v>k))|~(u))&d)&u)
(u&(((k>i)>z)|d))
1
1
0
0
entailment
(~((i>(s&s)))&(p&(k&z)))
(u&(((k>i)>z)|d))
0
1
0
0
not entailment
(((((v|v)&(v>k))|~(u))&d)&u)
~((((((i&p)|i)&((i|d)>z))>(p|s))&(s&k)))
0
0
0
0
not entailment
(((s>~(d))|p)&u)
((~(~((s&d)))|(d|~((s&(z>p)))))>(k|u))
1
0
0
0
entailment
~(~(~(((k>(v>(s>k)))>s))))
((k|(s&(z&s)))>(((u|k)|z)>(~(u)|k)))
1
0
0
0
entailment
(((s>~(d))|p)&u)
((k|(s&(z&s)))>(((u|k)|z)>(~(u)|k)))
0
0
0
0
not entailment
~(~(~(((k>(v>(s>k)))>s))))
((~(~((s&d)))|(d|~((s&(z>p)))))>(k|u))
0
0
0
0
not entailment
~((~((v|u))>~(~((k|d)))))
((k>d)|(~((~(p)&p))&(((i&z)>z)&~(v))))
1
0
0
0
entailment
(((k&k)&z)&((v&v)>u))
(((~((s|v))>z)|i)|~((s>u)))
1
0
0
0
entailment
~((~((v|u))>~(~((k|d)))))
(((~((s|v))>z)|i)|~((s>u)))
0
1
0
0
not entailment
(((k&k)&z)&((v&v)>u))
((k>d)|(~((~(p)&p))&(((i&z)>z)&~(v))))
0
0
0
0
not entailment
~((((k&p)>i)|((p|~(((i|u)&d)))>~(s))))
(~(((s>v)&d))|~((d>i)))
1
1
0
0
entailment
((v&i)&((z|(i&s))>((p>(v&s))|p)))
((p>~(~((k&z))))|i)
1
1
0
0
entailment
~((((k&p)>i)|((p|~(((i|u)&d)))>~(s))))
((p>~(~((k&z))))|i)
0
1
0
0
not entailment
((v&i)&((z|(i&s))>((p>(v&s))|p)))
(~(((s>v)&d))|~((d>i)))
0
1
0
0
not entailment
((z&(p&k))&((z>u)|~((k>(z&s)))))
(~(((z>v)&~(~(((s&i)&~(p))))))>(d>k))
1
0
0
0
entailment
(~(((p|k)|s))&((s&d)|(k>(s|u))))
((k>~(v))|(u&~((z>d))))
1
1
0
0
entailment
((z&(p&k))&((z>u)|~((k>(z&s)))))
((k>~(v))|(u&~((z>d))))
0
1
0
0
not entailment
(~(((p|k)|s))&((s&d)|(k>(s|u))))
(~(((z>v)&~(~(((s&i)&~(p))))))>(d>k))
0
0
0
0
not entailment
((~(v)>~(v))&(~((d>(~(s)&i)))&p))
~(~((k|((p|(d&(i&i)))|(u>(u&d))))))
1
1
0
0
entailment
((v|(s&p))&(((i|~(u))&v)&(~(d)|(s&k))))
((v|(k&z))|(s>k))
1
1
0
0
entailment
((~(v)>~(v))&(~((d>(~(s)&i)))&p))
((v|(k&z))|(s>k))
0
1
0
0
not entailment
((v|(s&p))&(((i|~(u))&v)&(~(d)|(s&k))))
~(~((k|((p|(d&(i&i)))|(u>(u&d))))))
0
1
1
0
not entailment
(~(p)&(p|(d&d)))
(((k|v)|(d|p))|(u|((s&(s|k))|s)))
1
0
0
0
entailment