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
~(((l>~(m))>((v>q)|(~(~(~(f)))>f))))
(((m>(d>(j&j)))|(j|j))|(f>((~(l)&t)&f)))
1
1
0
0
entailment
(q&m)
((d&y)|(q|q))
1
0
0
0
entailment
~(((l>~(m))>((v>q)|(~(~(~(f)))>f))))
((d&y)|(q|q))
0
1
0
0
not entailment
(q&m)
(((m>(d>(j&j)))|(j|j))|(f>((~(l)&t)&f)))
0
0
0
0
not entailment
(y>~((f>(y|((~(m)|m)>(v|y))))))
~((l&(y&l)))
1
1
0
0
entailment
(((~((q&f))|~(t))&y)&d)
(y|(j|d))
1
1
0
0
entailment
(y>~((f>(y|((~(m)|m)>(v|y))))))
(y|(j|d))
0
1
0
0
not entailment
(((~((q&f))|~(t))&y)&d)
~((l&(y&l)))
0
1
0
0
not entailment
~(~((d&j)))
(m|d)
1
1
0
0
entailment
(q|q)
~(~(((f|~(((m&j)|(j&t))))|q)))
1
0
0
0
entailment
~(~((d&j)))
~(~(((f|~(((m&j)|(j&t))))|q)))
0
0
0
0
not entailment
(q|q)
(m|d)
0
1
0
0
not entailment
((t&(f|j))&~((m&l)))
(d|((q&v)|(t|v)))
1
1
0
0
entailment
~(m)
(~((y|(m>f)))>~(~(~(~(v)))))
1
0
0
0
entailment
((t&(f|j))&~((m&l)))
(~((y|(m>f)))>~(~(~(~(v)))))
0
0
0
0
not entailment
~(m)
(d|((q&v)|(t|v)))
0
0
0
0
not entailment
((l&~(((v>(v&~(j)))>(q&(t|m)))))&m)
~((j&(q|~(m))))
1
1
1
1
entailment
(((q&(f&(j>~(q))))|(q|q))&d)
(~(~(((y|f)|q)))&(q|(~(v)&v)))
1
0
0
0
entailment
((l&~(((v>(v&~(j)))>(q&(t|m)))))&m)
(~(~(((y|f)|q)))&(q|(~(v)&v)))
0
1
0
0
not entailment
(((q&(f&(j>~(q))))|(q|q))&d)
~((j&(q|~(m))))
0
1
0
0
not entailment
~(((d>j)>~((m&(l|~(t))))))
(q|(m|y))
1
1
0
0
entailment
~(~(~((~(~(~(t)))|v))))
((m>(t|(f&f)))|(t|f))
1
1
0
0
entailment
~(((d>j)>~((m&(l|~(t))))))
((m>(t|(f&f)))|(t|f))
0
1
0
0
not entailment
~(~(~((~(~(~(t)))|v))))
(q|(m|y))
0
1
0
0
not entailment
((d&(y>(d|t)))&j)
(((l>l)|(j>d))&~(~((~((v>d))>y))))
1
0
0
0
entailment
~(f)
(((f>t)|m)|(m&m))
1
0
0
0
entailment
((d&(y>(d|t)))&j)
(((f>t)|m)|(m&m))
0
1
0
0
not entailment
~(f)
(((l>l)|(j>d))&~(~((~((v>d))>y))))
0
0
0
0
not entailment
((~(j)>y)&j)
((j|l)|((v|j)>~(~((j|y)))))
1
0
0
0
entailment
~(((v>m)>(f>~((j>t)))))
(((v>d)|f)|(q|l))
1
1
0
0
entailment
((~(j)>y)&j)
(((v>d)|f)|(q|l))
0
0
0
0
not entailment
~(((v>m)>(f>~((j>t)))))
((j|l)|((v|j)>~(~((j|y)))))
0
0
0
0
not entailment
~(((~(v)&(y&(l|f)))>(l>j)))
((((j>(y>(v>d)))&t)>((m|(m|v))&t))|(l&y))
1
0
0
0
entailment
(f&t)
(((q>y)&((((j|d)|q)&~(~(f)))|v))|f)
1
0
0
0
entailment
~(((~(v)&(y&(l|f)))>(l>j)))
(((q>y)&((((j|d)|q)&~(~(f)))|v))|f)
0
0
0
0
not entailment
(f&t)
((((j>(y>(v>d)))&t)>((m|(m|v))&t))|(l&y))
0
0
0
0
not entailment
(~((~((f&l))|d))&(d|y))
(~(~(((v>~(q))|y)))|(t|y))
1
0
0
0
entailment
((v|((j|m)|v))>((~(m)&(m|f))&(~(m)|j)))
((y>~(m))|t)
1
1
0
0
entailment
(~((~((f&l))|d))&(d|y))
((y>~(m))|t)
0
1
0
0
not entailment
((v|((j|m)|v))>((~(m)&(m|f))&(~(m)|j)))
(~(~(((v>~(q))|y)))|(t|y))
0
1
0
0
not entailment
((f|d)&((y&(((t>(d|f))>v)>j))&l))
((((~(((m|y)|q))|(d&q))|v)&q)>l)
1
1
0
0
entailment
~((((t&(f>~(m)))>(j|m))>~((f&m))))
((f>q)|~((m>(~(f)&t))))
1
1
0
0
entailment
((f|d)&((y&(((t>(d|f))>v)>j))&l))
((f>q)|~((m>(~(f)&t))))
0
1
0
0
not entailment
~((((t&(f>~(m)))>(j|m))>~((f&m))))
((((~(((m|y)|q))|(d&q))|v)&q)>l)
0
1
0
0
not entailment
((h>(l|w))&~(~(((u|l)&((l>l)&w)))))
((~(j)&((w>y)|h))>(l|w))
1
1
0
0
entailment
~(~(~(((y>h)>((l>~(l))>(u>w))))))
((((l|y)>l)|~(l))&(c>u))
1
1
0
0
entailment
((h>(l|w))&~(~(((u|l)&((l>l)&w)))))
((((l|y)>l)|~(l))&(c>u))
0
1
0
0
not entailment
~(~(~(((y>h)>((l>~(l))>(u>w))))))
((~(j)&((w>y)|h))>(l|w))
0
1
0
0
not entailment
((~(~((h|~(h))))&((y&u)>(j|u)))&j)
(j|u)
1
1
1
1
entailment
(~(l)&((w&y)>h))
~(~(~((~((l>w))&(h&~(((l&l)>u)))))))
1
0
0
0
entailment
((~(~((h|~(h))))&((y&u)>(j|u)))&j)
~(~(~((~((l>w))&(h&~(((l&l)>u)))))))
0
0
0
0
not entailment
(~(l)&((w&y)>h))
(j|u)
0
1
0
0
not entailment
(~(l)&j)
(l>h)
1
1
0
0
entailment
((w>~(c))&c)
((((~(c)|(c|c))&j)|~((u>c)))>~(w))
1
0
0
0
entailment
(~(l)&j)
((((~(c)|(c|c))&j)|~((u>c)))>~(w))
0
0
0
0
not entailment
((w>~(c))&c)
(l>h)
0
1
0
0
not entailment
((u&h)&u)
~((~((h|~(w)))&(~(y)&u)))
1
0
0
0
entailment
~((l|j))
(l>y)
1
1
0
0
entailment
((u&h)&u)
(l>y)
0
1
0
0
not entailment
~((l|j))
~((~((h|~(w)))&(~(y)&u)))
0
0
0
0
not entailment
~(~((((h&h)>(~(w)|l))>u)))
~((((h>l)|c)&~((h>(c|u)))))
1
1
0
0
entailment
(((~(y)&j)|(l&w))&(c|w))
~(~(((w|~(((j>j)>y)))&(c|w))))
1
0
1
0
entailment
~(~((((h&h)>(~(w)|l))>u)))
~(~(((w|~(((j>j)>y)))&(c|w))))
0
0
0
0
not entailment
(((~(y)&j)|(l&w))&(c|w))
~((((h>l)|c)&~((h>(c|u)))))
0
0
0
0
not entailment
((w&~(~(u)))&~(~(~((u>y)))))
~(y)
1
1
1
1
entailment
~(~((j&~(l))))
~(~((j|~((j|(((c>y)|(c|~(j)))&c))))))
1
0
0
0
entailment
((w&~(~(u)))&~(~(~((u>y)))))
~(~((j|~((j|(((c>y)|(c|~(j)))&c))))))
0
0
0
0
not entailment
~(~((j&~(l))))
~(y)
0
1
0
0
not entailment
((h>~(~(~((l&j)))))&~(~(u)))
(u|~(j))
1
1
1
1
entailment
((~((h|u))|~((w&c)))&(~(c)&j))
~(~((~(~(((y>(j|c))|~(u))))|l)))
1
0
0
0
entailment
((h>~(~(~((l&j)))))&~(~(u)))
~(~((~(~(((y>(j|c))|~(u))))|l)))
0
0
0
0
not entailment
((~((h|u))|~((w&c)))&(~(c)&j))
(u|~(j))
0
1
1
0
not entailment
((h|c)&h)
(u|h)
1
1
0
0
entailment
((l>(h>u))&(j&(c|~(j))))
(~(((h|j)&(((j|h)|h)>~(w))))>(j|(u|y)))
1
0
0
0
entailment
((h|c)&h)
(~(((h|j)&(((j|h)|h)>~(w))))>(j|(u|y)))
0
0
0
0
not entailment
((l>(h>u))&(j&(c|~(j))))
(u|h)
0
1
1
0
not entailment
~((h>(u>(l&j))))
(l|(u|~(~(h))))
1
1
1
0
entailment
~((y|j))
~(~(((~(l)&c)>(j>~((w&h))))))
1
0
0
0
entailment
~((h>(u>(l&j))))
~(~(((~(l)&c)>(j>~((w&h))))))
0
0
0
0
not entailment
~((y|j))
(l|(u|~(~(h))))
0
0
0
0
not entailment
((j&(w&c))&l)
((h>h)>(w>c))
1
1
0
0
entailment
~((u|c))
~((w&c))
1
1
0
0
entailment
((j&(w&c))&l)
~((w&c))
0
1
1
0
not entailment
~((u|c))
((h>h)>(w>c))
0
0
0
0
not entailment
~(w)
((((u>w)|~(~(w)))&u)>~(~((w&~(y)))))
1
0
0
0
entailment
(c&l)
~(~((~((~(c)|h))|(l&h))))
1
0
0
0
entailment
~(w)
~(~((~((~(c)|h))|(l&h))))
0
0
0
0
not entailment
(c&l)
((((u>w)|~(~(w)))&u)>~(~((w&~(y)))))
0
0
0
0
not entailment
(~(~(~(((u|w)|u))))&(j>(h&~(w))))
((u&~((l&(((w>h)&w)>(u|j)))))>w)
1
1
0
0
entailment
~(l)
(~((l>(~(u)&w)))>~((c|~(((h|l)&h)))))
1
0
0
0
entailment
(~(~(~(((u|w)|u))))&(j>(h&~(w))))
(~((l>(~(u)&w)))>~((c|~(((h|l)&h)))))
0
0
0
0
not entailment
~(l)
((u&~((l&(((w>h)&w)>(u|j)))))>w)
0
0
0
0
not entailment
~((l>c))
((~(~(w))|~(l))>(w|c))
1
0
0
0
entailment
((((l&(y|h))>(h&j))&h)&~(j))
(~((((h&(l|u))>(y>u))&~((h|l))))&~(j))
1
0
0
0
entailment
~((l>c))
(~((((h&(l|u))>(y>u))&~((h|l))))&~(j))
0
0
0
0
not entailment
((((l&(y|h))>(h&j))&h)&~(j))
((~(~(w))|~(l))>(w|c))
0
1
0
0
not entailment
~(((j&l)|~(((y>(y|(w&h)))&((l|y)&c)))))
((h>c)|~(((u|(c&c))|(l|((l>u)&h)))))
1
1
0
0
entailment
(h&~((~((j&j))&j)))
(((j&(((c>w)|w)>((u|(y&j))>j)))|(y|y))>h)
1
0
0
0
entailment
~(((j&l)|~(((y>(y|(w&h)))&((l|y)&c)))))
(((j&(((c>w)|w)>((u|(y&j))>j)))|(y|y))>h)
0
1
0
0
not entailment
(h&~((~((j&j))&j)))
((h>c)|~(((u|(c&c))|(l|((l>u)&h)))))
0
0
0
0
not entailment