Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files 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>t)>t)
(u|t)
1
1
1
1
entailment
(u|(w&(w|((u&(w&w))>w))))
(w|(w|u))
1
1
1
1
entailment
((u>t)>t)
(w|(w|u))
0
1
0
0
not entailment
(u|(w&(w|((u&(w&w))>w))))
(u|t)
0
1
0
0
not entailment
~((~((w>t))>~(((t&t)>(w|t)))))
(((w|t)|(t|t))|u)
1
1
0
0
entailment
(~(u)&(w|~((u&w))))
~(u)
1
1
1
1
entailment
~((~((w>t))>~(((t&t)>(w|t)))))
~(u)
0
1
0
0
not entailment
(~(u)&(w|~((u&w))))
(((w|t)|(t|t))|u)
0
1
0
0
not entailment
((w|(u&t))&((t|u)|~(t)))
(t|w)
1
1
1
1
entailment
((((~(t)|t)&u)>(w&(w|u)))|~(((w>t)|u)))
(u>w)
1
1
1
1
entailment
((w|(u&t))&((t|u)|~(t)))
(u>w)
0
1
1
0
not entailment
((((~(t)|t)&u)>(w&(w|u)))|~(((w>t)|u)))
(t|w)
0
1
1
1
not entailment
(w&~(u))
(u>w)
1
1
1
1
entailment
~(((u|t)>t))
((((t|u)|t)|~(~(u)))|~(~((w>(t|t)))))
1
0
0
0
entailment
(w&~(u))
((((t|u)|t)|~(~(u)))|~(~((w>(t|t)))))
0
0
0
0
not entailment
~(((u|t)>t))
(u>w)
0
1
0
0
not entailment
(~(~(w))&~(t))
(t>(w&(u&w)))
1
1
0
0
entailment
~((~(u)|(~(((t>w)&w))>((t&t)>(t&w)))))
(((w&u)>(((t>(t&u))|w)|t))&(~((u|u))|t))
1
1
1
0
entailment
(~(~(w))&~(t))
(((w&u)>(((t>(t&u))|w)|t))&(~((u|u))|t))
0
0
0
0
not entailment
~((~(u)|(~(((t>w)&w))>((t&t)>(t&w)))))
(t>(w&(u&w)))
0
1
1
0
not entailment
((w&w)&((u>t)&w))
(((w&t)>u)>(t>w))
1
1
1
0
entailment
(~((u&t))&~(~((~((t>t))|t))))
~(~((w>t)))
1
1
0
0
entailment
((w&w)&((u>t)&w))
~(~((w>t)))
0
1
1
0
not entailment
(~((u&t))&~(~((~((t>t))|t))))
(((w&t)>u)>(t>w))
0
1
0
0
not entailment
((u|t)&t)
(((t|(t>t))|t)&(~(u)|t))
1
0
1
0
entailment
((~((u|(u&w)))>u)|(t&~(t)))
((t|u)>u)
1
1
1
0
entailment
((u|t)&t)
((t|u)>u)
0
1
1
0
not entailment
((~((u|(u&w)))>u)|(t&~(t)))
(((t|(t>t))|t)&(~(u)|t))
0
1
1
0
not entailment
(w&(u&w))
(w|(t|w))
1
1
0
0
entailment
~(((u>t)|~(((u>((w>(t>w))>t))>w))))
(~((t|t))&(t>~(w)))
1
1
1
1
entailment
(w&(u&w))
(~((t|t))&(t>~(w)))
0
0
0
0
not entailment
~(((u>t)|~(((u>((w>(t>w))>t))>w))))
(w|(t|w))
0
1
1
0
not entailment
(u&(u|w))
(t>u)
1
1
0
0
entailment
(u>w)
~(~((u>w)))
1
0
1
1
entailment
(u&(u|w))
~(~((u>w)))
0
0
1
0
not entailment
(u>w)
(t>u)
0
1
0
0
not entailment
~((~((w&u))|t))
((((u|t)>(t&~(w)))>u)|((~(u)>(w>u))&u))
1
0
1
0
entailment
~(~(t))
(~((t>u))|(t|(t&w)))
1
0
0
0
entailment
~((~((w&u))|t))
(~((t>u))|(t|(t&w)))
0
0
1
0
not entailment
~(~(t))
((((u|t)>(t&~(w)))>u)|((~(u)>(w>u))&u))
0
0
0
0
not entailment
~((~((p&h))>((e&v)>~((h|~(b))))))
(e|(~(b)&j))
1
1
0
0
entailment
(p|j)
(j|(~(((v&(~((v&b))>v))|j))|((h&j)|p)))
1
0
0
0
entailment
~((~((p&h))>((e&v)>~((h|~(b))))))
(j|(~(((v&(~((v&b))>v))|j))|((h&j)|p)))
0
0
0
0
not entailment
(p|j)
(e|(~(b)&j))
0
0
0
0
not entailment
~((((p>~(b))|h)&(h>h)))
(p|e)
1
1
0
0
entailment
~((b|v))
~(v)
1
1
1
1
entailment
~((((p>~(b))|h)&(h>h)))
~(v)
0
1
0
0
not entailment
~((b|v))
(p|e)
0
1
0
0
not entailment
(((j|e)|~(((h>~(p))|e)))&b)
((b|(((e>p)|(j&j))|(j&e)))&(v>v))
1
0
0
0
entailment
~(((~(e)|b)|v))
((h|b)>(((v>b)&e)&h))
1
0
0
0
entailment
(((j|e)|~(((h>~(p))|e)))&b)
((h|b)>(((v>b)&e)&h))
0
1
0
0
not entailment
~(((~(e)|b)|v))
((b|(((e>p)|(j&j))|(j&e)))&(v>v))
0
0
0
0
not entailment
(e&((p&h)&(~((~(h)&v))|(j>b))))
(j>(p>(((h|(j|p))&(((v&p)>j)>j))>(h|e))))
1
0
1
0
entailment
~((b&(b|(p&p))))
~(((b&b)&(b&e)))
1
1
0
0
entailment
(e&((p&h)&(~((~(h)&v))|(j>b))))
~(((b&b)&(b&e)))
0
1
1
0
not entailment
~((b&(b|(p&p))))
(j>(p>(((h|(j|p))&(((v&p)>j)>j))>(h|e))))
0
0
0
0
not entailment
(((v>v)>(b&(~(j)|~(p))))&p)
(((v&~(((e|p)|h)))>(j&(p|j)))|j)
1
0
0
0
entailment
((v|v)&~((((b|p)>((v&v)>(h>h)))>p)))
((j>((~(h)|b)>h))>(v|h))
1
1
0
0
entailment
(((v>v)>(b&(~(j)|~(p))))&p)
((j>((~(h)|b)>h))>(v|h))
0
1
0
0
not entailment
((v|v)&~((((b|p)>((v&v)>(h>h)))>p)))
(((v&~(((e|p)|h)))>(j&(p|j)))|j)
0
1
0
0
not entailment
~((~((h|((~(h)&(v|p))>p)))>j))
(((h>h)|e)>((j>~((h&b)))|~(((e>v)|b))))
1
0
0
0
entailment
(b&((b>(v>b))|b))
((~(p)>h)|(~(b)>(~(v)&(p>j))))
1
0
0
0
entailment
~((~((h|((~(h)&(v|p))>p)))>j))
((~(p)>h)|(~(b)>(~(v)&(p>j))))
0
1
0
0
not entailment
(b&((b>(v>b))|b))
(((h>h)|e)>((j>~((h&b)))|~(((e>v)|b))))
0
0
0
0
not entailment
((h&v)|h)
((((h>~(j))|b)&(v|((e|e)&p)))|((h&e)|h))
1
0
0
0
entailment
(e>b)
((b|((p>(~(e)&p))|b))|~((v>~(h))))
1
0
0
0
entailment
((h&v)|h)
((b|((p>(~(e)&p))|b))|~((v>~(h))))
0
0
0
0
not entailment
(e>b)
((((h>~(j))|b)&(v|((e|e)&p)))|((h&e)|h))
0
0
0
0
not entailment
~(((((e|j)|(v|b))&(h|j))>v))
~((~(~((b|~(b))))>v))
1
1
1
0
entailment
(e&(~(b)>(e>j)))
~(~((((p>j)>j)|b)))
1
0
0
0
entailment
~(((((e|j)|(v|b))&(h|j))>v))
~(~((((p>j)>j)|b)))
0
1
0
0
not entailment
(e&(~(b)>(e>j)))
~((~(~((b|~(b))))>v))
0
0
0
0
not entailment
~((((b&p)|(v>e))>(p|((h>b)|e))))
(~(v)&(v>(b>e)))
1
1
1
1
entailment
(h>p)
(h>(((~(~((e&v)))&b)>(e|e))&((j>p)|p)))
1
0
0
0
entailment
~((((b&p)|(v>e))>(p|((h>b)|e))))
(h>(((~(~((e&v)))&b)>(e|e))&((j>p)|p)))
0
0
0
0
not entailment
(h>p)
(~(v)&(v>(b>e)))
0
0
0
0
not entailment
(v&(j&(~(j)|(v>((h|e)|j)))))
(b>((~(~((j|h)))|~(~(p)))&(h>v)))
1
0
0
0
entailment
(e&e)
((((e&p)&e)>~(h))>(~(p)>e))
1
0
0
0
entailment
(v&(j&(~(j)|(v>((h|e)|j)))))
((((e&p)&e)>~(h))>(~(p)>e))
0
1
0
0
not entailment
(e&e)
(b>((~(~((j|h)))|~(~(p)))&(h>v)))
0
0
0
0
not entailment
~((~(((b>b)&b))>~(~(h))))
((h>(((j&e)>(b&p))|p))>(h>(j&(e>j))))
1
0
0
0
entailment
(~((((e>p)&(e>e))&~((b>j))))&(b&v))
((v>~(p))|j)
1
1
1
0
entailment
~((~(((b>b)&b))>~(~(h))))
((v>~(p))|j)
0
1
0
0
not entailment
(~((((e>p)&(e>e))&~((b>j))))&(b&v))
((h>(((j&e)>(b&p))|p))>(h>(j&(e>j))))
0
1
0
0
not entailment
~(~(~((~((v>e))>~(j)))))
((v|p)>j)
1
1
0
0
entailment
(~((p>~(~((v>b)))))|(~(e)>e))
((~(((v&(((e>p)|e)&b))|b))>p)|(e&e))
1
0
1
0
entailment
~(~(~((~((v>e))>~(j)))))
((~(((v&(((e>p)|e)&b))|b))>p)|(e&e))
0
0
0
0
not entailment
(~((p>~(~((v>b)))))|(~(e)>e))
((v|p)>j)
0
1
0
0
not entailment
~((h>(e&e)))
(((~((j>b))&p)>h)|(b&v))
1
0
0
0
entailment
(((~(v)|v)|(p>v))&~((v>h)))
(((j>h)&h)>((e|(v|b))&p))
1
1
0
0
entailment
~((h>(e&e)))
(((j>h)&h)>((e|(v|b))&p))
0
0
0
0
not entailment
(((~(v)|v)|(p>v))&~((v>h)))
(((~((j>b))&p)>h)|(b&v))
0
1
0
0
not entailment
(b&(h>(j&e)))
(v|b)
1
1
0
0
entailment
~((~((e&j))&(~((p>(p&(p&h))))|~(j))))
(j&(e>j))
1
1
1
0
entailment
(b&(h>(j&e)))
(j&(e>j))
0
1
1
0
not entailment
~((~((e&j))&(~((p>(p&(p&h))))|~(j))))
(v|b)
0
1
0
0
not entailment
~(~(((v&e)&~(~((e&(v&e)))))))
(((h|e)|e)&(((h|~(h))|((b>j)>v))|(h>v)))
1
0
0
0
entailment
(v&(((h>(e>(h|v)))|b)>b))
(h>b)
1
1
1
1
entailment
~(~(((v&e)&~(~((e&(v&e)))))))
(h>b)
0
1
0
0
not entailment
(v&(((h>(e>(h|v)))|b)>b))
(((h|e)|e)&(((h|~(h))|((b>j)>v))|(h>v)))
0
0
0
0
not entailment