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
(~(u)&i)
((u&(~(~((y>z)))|z))>o)
1
0
0
0
entailment
(((o|(i|z))>y)&~(((d&(c&~(z)))|(c|d))))
((u&(~(~((y>z)))|z))>o)
0
1
0
0
not entailment
(~(u)&i)
(((d>u)|(i>(~(~(z))>c)))|(o&(c>c)))
0
0
0
0
not entailment
~(~((~((u|i))&~((~((d|o))>(y>z))))))
~(~((~(c)|~((~((o|z))&d)))))
1
1
0
0
entailment
~(~((((y|y)>y)&i)))
(((d>(d&d))&(~(o)>i))|~((d>u)))
1
0
0
0
entailment
~(~((~((u|i))&~((~((d|o))>(y>z))))))
(((d>(d&d))&(~(o)>i))|~((d>u)))
0
1
1
0
not entailment
~(~((((y|y)>y)&i)))
~(~((~(c)|~((~((o|z))&d)))))
0
0
0
0
not entailment
~(((u>~((i&(o&z))))&(y>(y&o))))
((y>o)>(u|c))
1
1
0
0
entailment
~((z>o))
(~((z>d))|((c|(y>o))>(c>d)))
1
0
0
0
entailment
~(((u>~((i&(o&z))))&(y>(y&o))))
(~((z>d))|((c|(y>o))>(c>d)))
0
1
0
0
not entailment
~((z>o))
((y>o)>(u|c))
0
0
0
0
not entailment
~((y>~(u)))
(u|~(((~(o)|c)&((y|i)>y))))
1
0
0
0
entailment
((((i|i)&o)&(((u>y)>y)>z))&d)
(~(i)>z)
1
1
1
1
entailment
~((y>~(u)))
(~(i)>z)
0
1
0
0
not entailment
((((i|i)&o)&(((u>y)>y)>z))&d)
(u|~(((~(o)|c)&((y|i)>y))))
0
1
0
0
not entailment
(i&(o>o))
((y|i)|~(((d&c)|i)))
1
0
0
0
entailment
~(~(o))
(~((c|o))>((i>y)|(z&y)))
1
0
0
0
entailment
(i&(o>o))
(~((c|o))>((i>y)|(z&y)))
0
0
0
0
not entailment
~(~(o))
((y|i)|~(((d&c)|i)))
0
0
0
0
not entailment
(~((i|i))&((u>(c|y))>~(o)))
((i>(d&o))|((o>y)|((i&i)>c)))
1
1
0
0
entailment
(o&(u&i))
~(((y>y)&~(i)))
1
0
0
0
entailment
(~((i|i))&((u>(c|y))>~(o)))
~(((y>y)&~(i)))
0
1
1
0
not entailment
(o&(u&i))
((i>(d&o))|((o>y)|((i&i)>c)))
0
0
0
0
not entailment
~((~(((z|(y|c))>(y&~(d))))>(u|(c|z))))
(((c>i)>y)|((d|z)&c))
1
1
0
0
entailment
~((~(((z|z)>o))>((((z|c)>o)&d)&(c>d))))
(~(((z>c)>o))>z)
1
1
1
0
entailment
~((~(((z|(y|c))>(y&~(d))))>(u|(c|z))))
(~(((z>c)>o))>z)
0
1
0
0
not entailment
~((~(((z|z)>o))>((((z|c)>o)&d)&(c>d))))
(((c>i)>y)|((d|z)&c))
0
1
0
0
not entailment
~(c)
((c&((z|u)&y))>~((i|((z&i)|u))))
1
0
0
0
entailment
(o&~(u))
(o|y)
1
1
0
0
entailment
~(c)
(o|y)
0
1
0
0
not entailment
(o&~(u))
((c&((z|u)&y))>~((i|((z&i)|u))))
0
0
0
0
not entailment
~(y)
((~(o)&((d&y)&c))>((y&(c>d))&z))
1
0
0
0
entailment
(d&(z>(c|(~(o)&~(c)))))
(~((z>((u|d)|d)))>(c>(i&y)))
1
0
0
0
entailment
~(y)
(~((z>((u|d)|d)))>(c>(i&y)))
0
0
0
0
not entailment
(d&(z>(c|(~(o)&~(c)))))
((~(o)&((d&y)&c))>((y&(c>d))&z))
0
0
0
0
not entailment
(((~((o&o))|z)>o)&~(y))
(o|(u|u))
1
1
0
0
entailment
(z&((z>c)|(z|(u&u))))
((~(i)|(u&y))>(u>z))
1
1
0
0
entailment
(((~((o&o))|z)>o)&~(y))
((~(i)|(u&y))>(u>z))
0
1
0
0
not entailment
(z&((z>c)|(z|(u&u))))
(o|(u|u))
0
1
0
0
not entailment
~(((z&u)>((y|z)>~((z|u)))))
~(~((((o|o)>u)|u)))
1
1
0
0
entailment
(z&~(((((d>((u>c)&d))>c)|u)|~(y))))
(d>y)
1
1
1
1
entailment
~(((z&u)>((y|z)>~((z|u)))))
(d>y)
0
1
0
0
not entailment
(z&~(((((d>((u>c)&d))>c)|u)|~(y))))
~(~((((o|o)>u)|u)))
0
1
0
0
not entailment
~((~((~(((z|o)>z))&((y>o)|c)))|(d&c)))
(((u|o)&z)>(~(y)&i))
1
1
0
0
entailment
(z&(z>u))
(u&(u>(i|z)))
1
0
0
0
entailment
~((~((~(((z|o)>z))&((y>o)|c)))|(d&c)))
(u&(u>(i|z)))
0
1
0
0
not entailment
(z&(z>u))
(((u|o)&z)>(~(y)&i))
0
0
0
0
not entailment
~(~(k))
((~(f)&~((i>q)))|((s>s)&k))
1
0
0
0
entailment
~(((i|f)|s))
(((i&q)&((s>q)|~(f)))|~(i))
1
0
0
0
entailment
~(~(k))
(((i&q)&((s>q)|~(f)))|~(i))
0
0
0
0
not entailment
~(((i|f)|s))
((~(f)&~((i>q)))|((s>s)&k))
0
0
0
0
not entailment
((~(i)>(~((f&k))&k))&(k&k))
(((s&i)&s)>~(~(k)))
1
1
0
0
entailment
(i&f)
(k>(f|(i>q)))
1
0
0
0
entailment
((~(i)>(~((f&k))&k))&(k&k))
(k>(f|(i>q)))
0
1
0
0
not entailment
(i&f)
(((s&i)&s)>~(~(k)))
0
0
0
0
not entailment
(s&~(((q&q)>k)))
((f>~(f))>q)
1
1
0
0
entailment
~(~(((k&(q>k))&s)))
(k&(s|i))
1
1
0
0
entailment
(s&~(((q&q)>k)))
(k&(s|i))
0
1
0
0
not entailment
~(~(((k&(q>k))&s)))
((f>~(f))>q)
0
1
0
0
not entailment
~(~((((f&k)&(q|s))&(i>~(q)))))
(f|(~((((q>f)|~(i))&q))|(~((s|f))>i)))
1
0
1
0
entailment
(~(i)&((s>(k>i))&k))
~(((s&(s|~(s)))&(q&k)))
1
0
0
0
entailment
~(~((((f&k)&(q|s))&(i>~(q)))))
~(((s&(s|~(s)))&(q&k)))
0
1
1
0
not entailment
(~(i)&((s>(k>i))&k))
(f|(~((((q>f)|~(i))&q))|(~((s|f))>i)))
0
0
0
0
not entailment
~(((~((q|s))&f)>(k>s)))
((f&k)|k)
1
1
1
1
entailment
~(((~((q|s))&f)>(k>s)))
(f>q)
0
1
1
0
not entailment
~(f)
((f&k)|k)
0
0
0
0
not entailment
((q>s)&(k&~(q)))
(f>k)
1
1
0
0
entailment
(f>~(k))
((f&k)>(((s>s)&q)|(~(q)&s)))
1
0
0
0
entailment
((q>s)&(k&~(q)))
((f&k)>(((s>s)&q)|(~(q)&s)))
0
0
0
0
not entailment
(f>~(k))
(f>k)
0
1
1
0
not entailment
((i&s)&((i>f)>s))
(s|(s|(i|k)))
1
1
0
0
entailment
((~((q|f))&~(i))|((~((k&i))&~(i))&f))
(i>~(k))
1
1
1
1
entailment
((i&s)&((i>f)>s))
(i>~(k))
0
1
0
0
not entailment
((~((q|f))&~(i))|((~((k&i))&~(i))&f))
(s|(s|(i|k)))
0
1
0
0
not entailment
(~((i>q))|~(((((k>(s&f))>(i|q))|f)>q)))
(~(f)|((~((f>i))&q)>(f>(~((s&q))>k))))
1
1
1
0
entailment
(s>~(s))
((q|f)>(((s>q)|q)|(((i>s)>i)&i)))
1
0
0
0
entailment
(~((i>q))|~(((((k>(s&f))>(i|q))|f)>q)))
((q|f)>(((s>q)|q)|(((i>s)>i)&i)))
0
1
1
1
not entailment
(s>~(s))
(~(f)|((~((f>i))&q)>(f>(~((s&q))>k))))
0
0
0
0
not entailment
~((f|k))
(s|((k|~(i))|~(~(~(f)))))
1
0
0
0
entailment
((k|(i>i))>(((s>i)>i)&(~(~(s))>i)))
(i|i)
1
1
1
1
entailment
~((f|k))
(i|i)
0
1
0
0
not entailment
((k|(i>i))>(((s>i)>i)&(~(~(s))>i)))
(s|((k|~(i))|~(~(~(f)))))
0
1
0
0
not entailment
~((((k&s)|s)|~(f)))
((s&f)>k)
1
1
1
0
entailment
((~(~(~(q)))&~(k))&((k&q)|~(~(f))))
((q|k)>~((i|k)))
1
1
0
0
entailment
~((((k&s)|s)|~(f)))
((q|k)>~((i|k)))
0
1
0
0
not entailment
((~(~(~(q)))&~(k))&((k&q)|~(~(f))))
((s&f)>k)
0
1
0
0
not entailment
~(~((~((k|i))&(s&s))))
(~((k>(s&f)))>f)
1
1
0
0
entailment
(~(((~((k&(i>i)))|(k&q))|f))&(q|i))
((k&i)&(f|k))
1
1
1
0
entailment
~(~((~((k|i))&(s&s))))
((k&i)&(f|k))
0
1
0
0
not entailment
(~(((~((k&(i>i)))|(k&q))|f))&(q|i))
(~((k>(s&f)))>f)
0
1
0
0
not entailment
~(~((~(f)&s)))
((i&k)|((f|k)>s))
1
1
0
0
entailment
(~(f)>i)
(f|i)
1
1
1
1
entailment
~(~((~(f)&s)))
(f|i)
0
1
0
0
not entailment
(~(f)>i)
((i&k)|((f|k)>s))
0
0
0
0
not entailment
(i&~(q))
(((i>i)|k)&((((k&~(~(s)))|f)>q)|i))
1
0
0
0
entailment
~(((~(q)|k)>(((~(f)|(s&q))&f)|~(s))))
(q|((k|s)|(f|(s&(i|i)))))
1
1
0
0
entailment
(i&~(q))
(q|((k|s)|(f|(s&(i|i)))))
0
0
0
0
not entailment
~(((~(q)|k)>(((~(f)|(s&q))&f)|~(s))))
(((i>i)|k)&((((k&~(~(s)))|f)>q)|i))
0
1
0
0
not entailment
(i&(i>((i|q)&~(f))))
((q>(q&(s|s)))|~((q>(s|f))))
1
0
0
0
entailment
~((f>k))
(((~(k)>f)|k)|((q&~(k))&f))
1
0
0
0
entailment