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
(h|h)
(r>(t|h))
1
0
0
0
entailment
((~((((t|(z&h))&(z&d))&d))&a)&(a|d))
(t>a)
1
1
1
1
entailment
(h|h)
(t>a)
0
1
0
0
not entailment
((~((((t|(z&h))&(z&d))&d))&a)&(a|d))
(r>(t|h))
0
1
0
0
not entailment
~((((t|~(a))&a)|(d>(d>~(h)))))
(~((d|(a|z)))|~((~(~((t>a)))&t)))
1
0
0
0
entailment
~(((z>(t&h))>(~(z)>r)))
((~(~(r))|(d&(z>a)))>(h>(z>a)))
1
0
0
0
entailment
~((((t|~(a))&a)|(d>(d>~(h)))))
((~(~(r))|(d&(z>a)))>(h>(z>a)))
0
1
0
0
not entailment
~(((z>(t&h))>(~(z)>r)))
(~((d|(a|z)))|~((~(~((t>a)))&t)))
0
0
0
0
not entailment
((~(a)>~(a))>((~(d)|h)&(r|d)))
(((z|h)|d)|r)
1
1
0
0
entailment
(t&~((((d>d)>z)|(~(~(d))|((d|a)|a)))))
~(((a|(z>h))&(t&(((h&a)&h)&h))))
1
1
0
0
entailment
((~(a)>~(a))>((~(d)|h)&(r|d)))
~(((a|(z>h))&(t&(((h&a)&h)&h))))
0
1
0
0
not entailment
(t&~((((d>d)>z)|(~(~(d))|((d|a)|a)))))
(((z|h)|d)|r)
0
1
0
0
not entailment
~((((d&h)>d)&(h>(d|z))))
(((z&(r|a))&((a|r)>~(d)))>~(t))
1
0
0
0
entailment
(((h>h)|((h>((~(r)&h)>a))>(h>t)))&(r|a))
((t>~(((z>h)>d)))>(((r|t)|z)|(a|a)))
1
1
0
0
entailment
~((((d&h)>d)&(h>(d|z))))
((t>~(((z>h)>d)))>(((r|t)|z)|(a|a)))
0
0
0
0
not entailment
(((h>h)|((h>((~(r)&h)>a))>(h>t)))&(r|a))
(((z&(r|a))&((a|r)>~(d)))>~(t))
0
1
0
0
not entailment
(((r|a)>(((d&h)>h)&~(~(d))))&(d&r))
(z|r)
1
1
0
0
entailment
((~((h>r))&(h|(d>a)))&(h|h))
((h|z)|(z|z))
1
1
0
0
entailment
(((r|a)>(((d&h)>h)&~(~(d))))&(d&r))
((h|z)|(z|z))
0
1
0
0
not entailment
((~((h>r))&(h|(d>a)))&(h|h))
(z|r)
0
1
0
0
not entailment
(~(((z>(z|a))&d))&z)
((((t>(z>z))&t)&(d|a))|(t>z))
1
0
0
0
entailment
(~((~(r)>(~(((r&d)|(d|d)))&a)))&(h|z))
(~(h)|((r&t)>d))
1
1
0
0
entailment
(~(((z>(z|a))&d))&z)
(~(h)|((r&t)>d))
0
1
0
0
not entailment
(~((~(r)>(~(((r&d)|(d|d)))&a)))&(h|z))
((((t>(z>z))&t)&(d|a))|(t>z))
0
1
0
0
not entailment
(d&(z&t))
~(((~(~(z))|~(h))>(~(t)&(d|t))))
1
0
0
0
entailment
(((a>r)&(z>~(h)))&~(~(h)))
(a|(h&(((r|r)|r)|~(a))))
1
1
1
0
entailment
(d&(z&t))
(a|(h&(((r|r)|r)|~(a))))
0
0
0
0
not entailment
(((a>r)&(z>~(h)))&~(~(h)))
~(((~(~(z))|~(h))>(~(t)&(d|t))))
0
0
0
0
not entailment
(((t|((t>a)>((a>t)&a)))|(t>(d&h)))>z)
((((t&r)&(d>d))&a)>(z&a))
1
1
0
0
entailment
((h&((d>r)&(z>((a>a)&t))))&((h&h)>h))
(~(((d&a)&((h>z)|z)))|((d|t)&(a>h)))
1
1
1
0
entailment
(((t|((t>a)>((a>t)&a)))|(t>(d&h)))>z)
(~(((d&a)&((h>z)|z)))|((d|t)&(a>h)))
0
1
1
0
not entailment
((h&((d>r)&(z>((a>a)&t))))&((h&h)>h))
((((t&r)&(d>d))&a)>(z&a))
0
1
1
0
not entailment
~(h)
~(~(((~(t)>(a|r))|~((h&h)))))
1
0
0
0
entailment
~((d|((t>h)>((z&d)&a))))
((~((((~(z)>h)&r)|r))&(a&~(~(d))))>t)
1
0
0
0
entailment
~(h)
((~((((~(z)>h)&r)|r))&(a&~(~(d))))>t)
0
0
0
0
not entailment
~((d|((t>h)>((z&d)&a))))
~(~(((~(t)>(a|r))|~((h&h)))))
0
0
0
0
not entailment
(r&r)
(((~((t|((r&r)&a)))&a)>(~(h)&h))|z)
1
0
0
0
entailment
~(((a>(((z>a)>~(~(z)))|(h&a)))|h))
((t&(a>(z|z)))>~(~(~((a|(t&d))))))
1
1
0
0
entailment
(r&r)
((t&(a>(z|z)))>~(~(~((a|(t&d))))))
0
0
0
0
not entailment
~(((a>(((z>a)>~(~(z)))|(h&a)))|h))
(((~((t|((r&r)&a)))&a)>(~(h)&h))|z)
0
1
0
0
not entailment
~(~((t&z)))
(~(~(~(t)))>~(~(~(h))))
1
0
0
0
entailment
~((~(~(a))|((((d&h)>t)|z)|(z|r))))
(((d&z)&(t>z))>~(z))
1
1
1
0
entailment
~(~((t&z)))
(((d&z)&(t>z))>~(z))
0
0
0
0
not entailment
~((~(~(a))|((((d&h)>t)|z)|(z|r))))
(~(~(~(t)))>~(~(~(h))))
0
1
1
0
not entailment
(h&t)
((h&h)|~(~(((d|~(h))>a))))
1
0
0
0
entailment
((z>(a|a))&~(r))
((a&h)|(((~(r)&h)&((t&a)|h))|(r>(h>d))))
1
0
0
0
entailment
(h&t)
((a&h)|(((~(r)&h)&((t&a)|h))|(r>(h>d))))
0
0
0
0
not entailment
((z>(a|a))&~(r))
((h&h)|~(~(((d|~(h))>a))))
0
0
0
0
not entailment
(~(z)&(a&r))
(~(r)>(h&h))
1
1
0
0
entailment
((t&d)&((t|h)&t))
((z&(z>z))|(r>t))
1
1
0
0
entailment
(~(z)&(a&r))
((z&(z>z))|(r>t))
0
0
0
0
not entailment
((t&d)&((t|h)&t))
(~(r)>(h&h))
0
1
0
0
not entailment
~((d>h))
~(((h&a)&~((r|z))))
1
0
0
0
entailment
~((d|t))
(d>(a&(z>d)))
1
0
0
0
entailment
~((d>h))
(d>(a&(z>d)))
0
0
0
0
not entailment
~((d|t))
~(((h&a)&~((r|z))))
0
0
0
0
not entailment
((q>(l&c))>(l&(q|q)))
(~(((i|l)>q))>m)
1
1
0
0
entailment
(~((l|l))&((z|z)&~((m&z))))
((~((d>(z&m)))&d)|((c>(l>(i|f)))&~(m)))
1
0
0
0
entailment
((q>(l&c))>(l&(q|q)))
((~((d>(z&m)))&d)|((c>(l>(i|f)))&~(m)))
0
0
0
0
not entailment
(~((l|l))&((z|z)&~((m&z))))
(~(((i|l)>q))>m)
0
1
0
0
not entailment
~(((f|((m&i)|(m|d)))|l))
(~((~(m)|((d&z)&(i>((f&z)&q)))))>(l&z))
1
0
0
0
entailment
~((q>(z>(i>~(~(f))))))
((c>(u>i))&z)
1
1
0
0
entailment
~(((f|((m&i)|(m|d)))|l))
((c>(u>i))&z)
0
1
0
0
not entailment
~((q>(z>(i>~(~(f))))))
(~((~(m)|((d&z)&(i>((f&z)&q)))))>(l&z))
0
0
0
0
not entailment
((z&(l>m))&~(~((~(l)|m))))
(((m&((m>l)&(l&m)))|i)>(((z|c)|f)|q))
1
0
0
0
entailment
(~(((~(l)|l)&(i|i)))&~((z|(c&m))))
(((z|u)&z)>(u|l))
1
1
0
0
entailment
((z&(l>m))&~(~((~(l)|m))))
(((z|u)&z)>(u|l))
0
1
0
0
not entailment
(~(((~(l)|l)&(i|i)))&~((z|(c&m))))
(((m&((m>l)&(l&m)))|i)>(((z|c)|f)|q))
0
1
0
0
not entailment
~(~(((z>m)&(l&(c&d)))))
(~((q&q))|d)
1
1
0
0
entailment
(((l>m)&i)&((l|d)|f))
((m>i)|(m>(q&m)))
1
1
0
0
entailment
~(~(((z>m)&(l&(c&d)))))
((m>i)|(m>(q&m)))
0
1
0
0
not entailment
(((l>m)&i)&((l|d)|f))
(~((q&q))|d)
0
1
0
0
not entailment
~(((z>d)>m))
((m&i)>~(~((f|(d|u)))))
1
0
0
0
entailment
(i&((((i&q)&(m>(c>u)))&z)&(l|m)))
((q>(l|i))>((l&i)>z))
1
1
1
0
entailment
~(((z>d)>m))
((q>(l|i))>((l&i)>z))
0
0
0
0
not entailment
(i&((((i&q)&(m>(c>u)))&z)&(l|m)))
((m&i)>~(~((f|(d|u)))))
0
1
0
0
not entailment
~((((u&(q|u))>(c>d))|(i&~(i))))
(~(~(((q>~(d))>z)))>(f>c))
1
1
0
0
entailment
~((u>~(((q&f)&(z&i)))))
(u>(l>i))
1
1
0
0
entailment
~((((u&(q|u))>(c>d))|(i&~(i))))
(u>(l>i))
0
1
0
0
not entailment
~((u>~(((q&f)&(z&i)))))
(~(~(((q>~(d))>z)))>(f>c))
0
0
0
0
not entailment
(~(((u&d)>l))&((i&(c&d))&d))
(i|u)
1
1
1
1
entailment
~(((c>((q|d)|i))>~(~(((c>z)|m)))))
~(((i|(q|l))&(u&m)))
1
1
0
0
entailment
(~(((u&d)>l))&((i&(c&d))&d))
~(((i|(q|l))&(u&m)))
0
1
0
0
not entailment
~(((c>((q|d)|i))>~(~(((c>z)|m)))))
(i|u)
0
1
0
0
not entailment
(((f&~((i>m)))&q)&c)
(~(((d|(l>l))>~((f>l))))>(m>f))
1
0
0
0
entailment
(((i|(q&c))&m)&~((i&(l|(~(d)|d)))))
(c>(q&m))
1
1
1
0
entailment
(((f&~((i>m)))&q)&c)
(c>(q&m))
0
1
1
0
not entailment
(((i|(q&c))&m)&~((i&(l|(~(d)|d)))))
(~(((d|(l>l))>~((f>l))))>(m>f))
0
1
0
0
not entailment
(~((((c&f)|d)>q))|~((l|q)))
(~((~(q)|~((c&f))))>(u&u))
1
1
0
0
entailment
(f&d)
(f|(z|f))
1
0
0
0
entailment
(~((((c&f)|d)>q))|~((l|q)))
(f|(z|f))
0
1
0
0
not entailment
(f&d)
(~((~(q)|~((c&f))))>(u&u))
0
0
0
0
not entailment
((f>~(((i&q)|q)))&~((c|f)))
((~((c&z))>f)>~(((q>z)&(((l>i)>m)|i))))
1
0
0
0
entailment
(((c|m)&m)&((~(z)&(c>u))&l))
(~(((z&c)&((c>c)>((z|z)&i))))>(z>l))
1
0
0
0
entailment
((f>~(((i&q)|q)))&~((c|f)))
(~(((z&c)&((c>c)>((z|z)&i))))>(z>l))
0
0
0
0
not entailment
(((c|m)&m)&((~(z)&(c>u))&l))
((~((c&z))>f)>~(((q>z)&(((l>i)>m)|i))))
0
0
0
0
not entailment
((l&(l>l))&((c&u)&(i&(f|u))))
(~((f|u))|i)
1
1
1
0
entailment
((q&(q&m))&((~(~(i))&(q>l))>~(f)))
((~(i)|d)>(m&q))
1
1
0
0
entailment
((l&(l>l))&((c&u)&(i&(f|u))))
((~(i)|d)>(m&q))
0
1
0
0
not entailment
((q&(q&m))&((~(~(i))&(q>l))>~(f)))
(~((f|u))|i)
0
1
0
0
not entailment