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
((s>v)>(s&s))
((v|j)|(((s&s)>e)|j))
0
0
0
0
not entailment
(~(~(~(~((j|e)))))&j)
((~((v&s))>(j>s))|~(((s|s)>(~(e)>j))))
0
0
0
0
not entailment
(v&~((j&v)))
(~((((j>j)&s)>e))>~((j|j)))
1
0
0
0
entailment
(s&j)
~((s&~(j)))
1
0
1
0
entailment
(v&~((j&v)))
~((s&~(j)))
0
1
0
0
not entailment
(s&j)
(~((((j>j)&s)>e))>~((j|j)))
0
0
0
0
not entailment
((~(e)&(s>e))&(v|v))
(((e>e)&((e>j)|j))>(e|v))
1
0
0
0
entailment
(s&(v|(~(v)|j)))
(((v>s)|v)&s)
1
1
1
1
entailment
((~(e)&(s>e))&(v|v))
(((v>s)|v)&s)
0
1
1
0
not entailment
(s&(v|(~(v)|j)))
(((e>e)&((e>j)|j))>(e|v))
0
0
0
0
not entailment
((~((s>j))|~(~(s)))&((s>v)&s))
(s|~((v>~(j))))
1
1
1
0
entailment
~(j)
((j&s)>e)
1
0
0
0
entailment
((~((s>j))|~(~(s)))&((s>v)&s))
((j&s)>e)
0
1
0
0
not entailment
~(j)
(s|~((v>~(j))))
0
0
0
0
not entailment
(v|~(((s&v)|(v>s))))
((((v|j)&j)>j)>v)
1
1
0
0
entailment
~((j>e))
((v|(s&e))>(~(e)&(~(e)|e)))
1
0
0
0
entailment
(v|~(((s&v)|(v>s))))
((v|(s&e))>(~(e)&(~(e)|e)))
0
0
0
0
not entailment
~((j>e))
((((v|j)&j)>j)>v)
0
0
0
0
not entailment
(~((s|(e|s)))&(v|(e&(~(s)&e))))
~((j&(s&j)))
1
1
0
0
entailment
(e&(e&e))
((s&s)|e)
1
1
0
0
entailment
(~((s|(e|s)))&(v|(e&(~(s)&e))))
((s&s)|e)
0
1
1
0
not entailment
(e&(e&e))
~((j&(s&j)))
0
0
0
0
not entailment
~(((s|~(v))|(s|j)))
(s>((v&(e>e))>(v>e)))
1
1
0
0
entailment
(j&~((v&(e&v))))
(((s>e)&s)|(j&j))
1
1
0
0
entailment
~(((s|~(v))|(s|j)))
(((s>e)&s)|(j&j))
0
1
0
0
not entailment
(j&~((v&(e&v))))
(s>((v&(e>e))>(v>e)))
0
0
0
0
not entailment
(~(~((s>(s|e))))&(~(j)&v))
((~(v)|~((j>~(((v|(j|v))|v)))))>(e|j))
1
0
1
0
entailment
~((s|((((s|j)|j)&v)|(v|s))))
~(~((e|~((s&((e&e)|(s>~(j))))))))
1
0
0
0
entailment
(~(~((s>(s|e))))&(~(j)&v))
~(~((e|~((s&((e&e)|(s>~(j))))))))
0
0
1
0
not entailment
~((s|((((s|j)|j)&v)|(v|s))))
((~(v)|~((j>~(((v|(j|v))|v)))))>(e|j))
0
0
0
0
not entailment
((e&v)&e)
((v&j)|(e|v))
1
0
0
0
entailment
~(((~(~(j))>(j&v))|e))
~(v)
1
1
1
1
entailment
((e&v)&e)
~(v)
0
1
1
0
not entailment
~(((~(~(j))>(j&v))|e))
((v&j)|(e|v))
0
1
1
0
not entailment
~(~(((e|(~(~(e))>s))&v)))
(~(~(v))|e)
1
1
1
1
entailment
(~((s>e))|~((s|v)))
((v&s)>(e>j))
1
1
0
0
entailment
~(~(((e|(~(~(e))>s))&v)))
((v&s)>(e>j))
0
1
0
0
not entailment
(~((s>e))|~((s|v)))
(~(~(v))|e)
0
1
1
0
not entailment
(((e&(e&s))&(v&j))&((s|v)&(j|(s&j))))
(~((s>~(j)))|(j|s))
1
1
1
1
entailment
(~(j)&((v>(s&(v&j)))&e))
~(((v|v)|~((j>~(e)))))
1
1
1
0
entailment
(((e&(e&s))&(v&j))&((s|v)&(j|(s&j))))
~(((v|v)|~((j>~(e)))))
0
1
1
0
not entailment
(~(j)&((v>(s&(v&j)))&e))
(~((s>~(j)))|(j|s))
0
1
1
1
not entailment
(f&~((~(d)|((h&(d>c))&o))))
((d|(h&i))&~((~((i>i))&(j>((h>d)>c)))))
1
0
0
0
entailment
((h&h)&(i>~(((c|o)>(((f&h)|d)|i)))))
(j>h)
1
1
0
0
entailment
(f&~((~(d)|((h&(d>c))&o))))
(j>h)
0
1
0
0
not entailment
((h&h)&(i>~(((c|o)>(((f&h)|d)|i)))))
((d|(h&i))&~((~((i>i))&(j>((h>d)>c)))))
0
0
0
0
not entailment
~((((i|d)>(f|i))|(~(d)|~((d|d)))))
(f>(d>j))
1
1
0
0
entailment
((~(c)|c)&(d&(d>h)))
(~(((o|h)&~(h)))|i)
1
1
0
0
entailment
~((((i|d)>(f|i))|(~(d)|~((d|d)))))
(~(((o|h)&~(h)))|i)
0
1
0
0
not entailment
((~(c)|c)&(d&(d>h)))
(f>(d>j))
0
1
0
0
not entailment
(~(c)&~(o))
(c>((d|(h&o))&c))
1
0
0
0
entailment
~((c>i))
((h&(d>j))|(~((c|(j|((d&j)&j))))>(d|o)))
1
0
0
0
entailment
(~(c)&~(o))
((h&(d>j))|(~((c|(j|((d&j)&j))))>(d|o)))
0
0
0
0
not entailment
~((c>i))
(c>((d|(h&o))&c))
0
0
0
0
not entailment
~(((((c>d)>j)|(o|(j&(h&c))))>(o|~(j))))
(o>(((f&(j|(i|i)))>h)>((d>h)&f)))
1
1
0
0
entailment
(o&(i&j))
(o&((h>(((h>f)&d)>c))|((f|c)|(c>c))))
1
0
0
0
entailment
~(((((c>d)>j)|(o|(j&(h&c))))>(o|~(j))))
(o&((h>(((h>f)&d)>c))|((f|c)|(c>c))))
0
1
0
0
not entailment
(o&(i&j))
(o>(((f&(j|(i|i)))>h)>((d>h)&f)))
0
0
0
0
not entailment
(((c&c)&(f|i))&(j|~(h)))
(f|(o>(c|j)))
1
1
0
0
entailment
~(((~(i)&(o>~(o)))|d))
((i>(d>j))|f)
1
1
0
0
entailment
(((c&c)&(f|i))&(j|~(h)))
((i>(d>j))|f)
0
1
0
0
not entailment
~(((~(i)&(o>~(o)))|d))
(f|(o>(c|j)))
0
1
0
0
not entailment
(~((j|((c>(h>f))|((i>h)>j))))&~(i))
((j|o)|c)
1
1
0
0
entailment
((~((c|j))&~(i))&(f&(i>j)))
((((c|i)&(c|d))|~(i))>(i|~(c)))
1
0
0
0
entailment
(~((j|((c>(h>f))|((i>h)>j))))&~(i))
((((c|i)&(c|d))|~(i))>(i|~(c)))
0
1
0
0
not entailment
((~((c|j))&~(i))&(f&(i>j)))
((j|o)|c)
0
1
0
0
not entailment
(j&h)
(~(h)|(c|j))
1
0
0
0
entailment
~(~((h&f)))
(((o>i)&i)|(c|(f|c)))
1
0
0
0
entailment
(j&h)
(((o>i)&i)|(c|(f|c)))
0
0
0
0
not entailment
~(~((h&f)))
(~(h)|(c|j))
0
1
0
0
not entailment
(h&c)
(((((h|j)|j)|f)|(f|o))|i)
1
0
0
0
entailment
(~(~(((f|~(((j|~(c))&(d|f))))>h)))&d)
((i>(i>d))|o)
1
1
0
0
entailment
(h&c)
((i>(i>d))|o)
0
0
0
0
not entailment
(~(~(((f|~(((j|~(c))&(d|f))))>h)))&d)
(((((h|j)|j)|f)|(f|o))|i)
0
1
0
0
not entailment
(j>f)
((j|(o&(f|j)))>((((i|o)|i)&((o|f)>c))|f))
1
0
0
0
entailment
~(~((j&(~((~(c)|h))|~(i)))))
~(~(((h>i)>(~(~(j))|i))))
1
1
1
0
entailment
(j>f)
~(~(((h>i)>(~(~(j))|i))))
0
0
0
0
not entailment
~(~((j&(~((~(c)|h))|~(i)))))
((j|(o&(f|j)))>((((i|o)|i)&((o|f)>c))|f))
0
0
0
0
not entailment
(f&(h&h))
((((o&j)>((c|h)|h))>d)|h)
1
0
0
0
entailment
((h>d)&~(d))
(~(o)|(d>(h&j)))
1
0
0
0
entailment
(f&(h&h))
(~(o)|(d>(h&j)))
0
0
0
0
not entailment
((h>d)&~(d))
((((o&j)>((c|h)|h))>d)|h)
0
0
0
0
not entailment
~(((h&(j&f))>~(o)))
((~(~(~(i)))|((c|c)&(~(d)&f)))|(j&h))
1
0
0
0
entailment
~((o|(h>j)))
~(o)
1
1
1
1
entailment
~(((h&(j&f))>~(o)))
~(o)
0
1
1
0
not entailment
~((o|(h>j)))
((~(~(~(i)))|((c|c)&(~(d)&f)))|(j&h))
0
0
0
0
not entailment
~(d)
(~((j&d))>(d>(d>(~(~(h))|j))))
1
0
0
0
entailment
(~(~(((((f&h)>f)|h)>~(o))))&(f>h))
(h|(o>(j>h)))
1
1
0
0
entailment
~(d)
(h|(o>(j>h)))
0
0
0
0
not entailment
(~(~(((((f&h)>f)|h)>~(o))))&(f>h))
(~((j&d))>(d>(d>(~(~(h))|j))))
0
1
0
0
not entailment
~(((~(((h&t)>h))>((t&t)>(h>h)))&(t>h)))
((h|((h>h)>t))&t)
1
1
1
1
entailment
(((h&t)|((~(h)|t)|(t|t)))>h)
((h&(t&h))|(((h|(h&h))|(h|t))&~(t)))
1
0
1
0
entailment
~(((~(((h&t)>h))>((t&t)>(h>h)))&(t>h)))
((h&(t&h))|(((h|(h&h))|(h|t))&~(t)))
0
1
1
0
not entailment
(((h&t)|((~(h)|t)|(t|t)))>h)
((h|((h>h)>t))&t)
0
1
1
0
not entailment
~(~(~(((h|t)>~(t)))))
(t|t)
1
1
1
1
entailment
(~(((~(h)&h)&(h&(t>h))))>h)
(h|(t&h))
1
1
1
0
entailment
~(~(~(((h|t)>~(t)))))
(h|(t&h))
0
1
1
1
not entailment
(~(((~(h)&h)&(h&(t>h))))>h)
(t|t)
0
1
1
0
not entailment
(((h>(~(t)|h))>(h>((h|t)&t)))&((t&t)|h))
((t|t)&t)
1
1
1
1
entailment
(h|h)
(((h&(t|h))>h)&h)
1
0
0
0
entailment