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
~(((n|(a|w))|~(h)))
(n|p)
0
1
0
0
not entailment
((p>b)>n)
~(((~(c)&((a|w)>~(e)))&(a&k)))
0
0
0
0
not entailment
~(((a>h)|h))
~(~(a))
1
1
1
1
entailment
((k|k)&(~((k|e))|w))
((c>w)|(k&w))
1
1
0
0
entailment
~(((a>h)|h))
((c>w)|(k&w))
0
1
0
0
not entailment
((k|k)&(~((k|e))|w))
~(~(a))
0
1
0
0
not entailment
~(((k>(e|(h&c)))|(n&b)))
((k|a)|n)
1
1
0
0
entailment
((h>w)&(p&h))
(((w|~(p))|((b>~(p))>w))&w)
1
0
0
0
entailment
~(((k>(e|(h&c)))|(n&b)))
(((w|~(p))|((b>~(p))>w))&w)
0
0
0
0
not entailment
((h>w)&(p&h))
((k|a)|n)
0
1
0
0
not entailment
(c&~(a))
(~(~(~(c)))>~(~(c)))
1
0
1
1
entailment
~(~(((p|c)&p)))
(h|(c>(~((w|p))>w)))
1
0
0
0
entailment
(c&~(a))
(h|(c>(~((w|p))>w)))
0
0
0
0
not entailment
~(~(((p|c)&p)))
(~(~(~(c)))>~(~(c)))
0
0
1
1
not entailment
((((w>(p|p))&((w>w)&p))|(p|(p&(e>a))))&c)
(w>(~((w|(p|(h&a))))|p))
1
1
0
0
entailment
~((~((a>(n&h)))>e))
(((e&k)&(w|(a&e)))>((e>b)&((h>b)|~(k))))
1
0
0
0
entailment
((((w>(p|p))&((w>w)&p))|(p|(p&(e>a))))&c)
(((e&k)&(w|(a&e)))>((e>b)&((h>b)|~(k))))
0
1
0
0
not entailment
~((~((a>(n&h)))>e))
(w>(~((w|(p|(h&a))))|p))
0
0
0
0
not entailment
(((c|c)&k)&n)
~(~(((b|n)|e)))
1
0
0
0
entailment
(b>~(((e>w)|~(a))))
((b&b)>(~(e)>~((a>e))))
1
0
1
0
entailment
(((c|c)&k)&n)
((b&b)>(~(e)>~((a>e))))
0
0
0
0
not entailment
(b>~(((e>w)|~(a))))
~(~(((b|n)|e)))
0
1
0
0
not entailment
(~(~(k))&(a&~(b)))
(e>(a&e))
1
1
0
0
entailment
((k&h)&((n>~(k))>(c>p)))
(w|h)
1
1
0
0
entailment
(~(~(k))&(a&~(b)))
(w|h)
0
1
0
0
not entailment
((k&h)&((n>~(k))>(c>p)))
(e>(a&e))
0
1
0
0
not entailment
(~((h>(((w|a)>p)>w)))&a)
(((n|n)>c)>h)
1
1
0
0
entailment
(~((b>w))&(((p|k)|(h&e))|(k&~((n>p)))))
((~(b)&(k&~((e&b))))|(n|b))
1
1
1
0
entailment
(~((h>(((w|a)>p)>w)))&a)
((~(b)&(k&~((e&b))))|(n|b))
0
0
0
0
not entailment
(~((b>w))&(((p|k)|(h&e))|(k&~((n>p)))))
(((n|n)>c)>h)
0
1
0
0
not entailment
~((w>~(h)))
(h|(k>~((n>(p>a)))))
1
0
0
0
entailment
~((a|p))
~(((w>a)&p))
1
0
0
0
entailment
~((w>~(h)))
~(((w>a)&p))
0
1
0
0
not entailment
~((a|p))
(h|(k>~((n>(p>a)))))
0
0
0
0
not entailment
~(((h&n)>e))
~((b&e))
1
1
0
0
entailment
(c&n)
(b>c)
1
1
0
0
entailment
~(((h&n)>e))
(b>c)
0
1
0
0
not entailment
(c&n)
~((b&e))
0
0
0
0
not entailment
(t&((q>d)&z))
(~(~((~(~(z))&z)))&(d|t))
1
0
1
1
entailment
~(~(~((q|(t|z)))))
((z>(z|(z|t)))&~((~((z>(z&t)))|t)))
1
0
1
0
entailment
(t&((q>d)&z))
((z>(z|(z|t)))&~((~((z>(z&t)))|t)))
0
0
1
0
not entailment
~(~(~((q|(t|z)))))
(~(~((~(~(z))&z)))&(d|t))
0
0
0
0
not entailment
((q>d)>((((q>q)&(z>~(z)))&(q>z))&(t|q)))
((q|~((q|((~(t)|d)|q))))>(d>t))
1
1
1
0
entailment
(q|z)
(((d>(d&z))|q)|q)
1
0
0
0
entailment
((q>d)>((((q>q)&(z>~(z)))&(q>z))&(t|q)))
(((d>(d&z))|q)|q)
0
1
1
0
not entailment
(q|z)
((q|~((q|((~(t)|d)|q))))>(d>t))
0
0
0
0
not entailment
~((~((q|(((t&q)|q)&t)))>t))
(((t|~(q))|d)&(q>((q&q)|(~((z>t))|d))))
1
0
0
0
entailment
(~(d)&(~((z>((q&t)|t)))&(z&(q|t))))
((d>((d>~(z))&(z&t)))&(q&(z|d)))
1
1
1
0
entailment
~((~((q|(((t&q)|q)&t)))>t))
((d>((d>~(z))&(z&t)))&(q&(z|d)))
0
0
0
0
not entailment
(~(d)&(~((z>((q&t)|t)))&(z&(q|t))))
(((t|~(q))|d)&(q>((q&q)|(~((z>t))|d))))
0
0
1
0
not entailment
(~(d)&t)
(~(~((t|(z&z))))&(d>(z&d)))
1
0
0
0
entailment
(~(d)&(d|(z>q)))
(z>q)
1
1
1
1
entailment
(~(d)&t)
(z>q)
0
1
0
0
not entailment
(~(d)&(d|(z>q)))
(~(~((t|(z&z))))&(d>(z&d)))
0
0
0
0
not entailment
~(((t|t)>z))
((t>(z|(d|((z>q)|~(z)))))>(z>t))
1
0
0
0
entailment
~(~(~((t|((q&d)|(z>q))))))
~(((((d>q)>~((d|d)))|(~((d|z))&q))>q))
1
0
1
0
entailment
~(((t|t)>z))
~(((((d>q)>~((d|d)))|(~((d|z))&q))>q))
0
0
0
0
not entailment
~(~(~((t|((q&d)|(z>q))))))
((t>(z|(d|((z>q)|~(z)))))>(z>t))
0
0
1
0
not entailment
~(((~(t)|~((t>q)))|(q>z)))
((q>q)>t)
1
1
1
0
entailment
((~((((z|q)&t)|(z|(z&z))))|(t>t))&(d>z))
~(~(((d|z)>(d>z))))
1
1
1
1
entailment
~(((~(t)|~((t>q)))|(q>z)))
~(~(((d|z)>(d>z))))
0
1
0
0
not entailment
((~((((z|q)&t)|(z|(z&z))))|(t>t))&(d>z))
((q>q)>t)
0
1
1
0
not entailment
(d&t)
~(~(d))
1
0
1
1
entailment
(~(~((((t|q)|d)&~((d&d)))))&(z|q))
((d&(z|d))>(q&(q|(q>z))))
1
1
1
0
entailment
(d&t)
((d&(z|d))>(q&(q|(q>z))))
0
0
0
0
not entailment
(~(~((((t|q)|d)&~((d&d)))))&(z|q))
~(~(d))
0
1
1
1
not entailment
~(((q&d)>((z&t)&((q&z)>((~(t)&z)|z)))))
((d|~(~(((((t>(q|q))&(q>t))|d)|z))))&q)
1
1
1
0
entailment
(((q|d)>~(t))&q)
((t&(~(d)|~(z)))>(z&(t>z)))
1
0
0
0
entailment
~(((q&d)>((z&t)&((q&z)>((~(t)&z)|z)))))
((t&(~(d)|~(z)))>(z&(t>z)))
0
1
1
1
not entailment
(((q|d)>~(t))&q)
((d|~(~(((((t>(q|q))&(q>t))|d)|z))))&q)
0
0
0
0
not entailment
~((~(d)&t))
(((t|(d|z))>(q&d))|(q>z))
1
0
0
0
entailment
~((~(~((d>z)))&(z&((t|t)>(~(z)&d)))))
((z&z)>(t|d))
1
1
1
1
entailment
~((~(d)&t))
((z&z)>(t|d))
0
1
0
0
not entailment
~((~(~((d>z)))&(z&((t|t)>(~(z)&d)))))
(((t|(d|z))>(q&d))|(q>z))
0
1
0
0
not entailment
(((t|z)&z)&(d|d))
(z|d)
1
1
1
1
entailment
((~(((q&z)|d))>d)>t)
(((d&t)|(d>~(d)))|(d>t))
1
0
1
0
entailment
(((t|z)&z)&(d|d))
(((d&t)|(d>~(d)))|(d>t))
0
0
1
0
not entailment
((~(((q&z)|d))>d)>t)
(z|d)
0
1
1
0
not entailment
(d&(~((q>q))>q))
(d|(t&d))
1
1
0
0
entailment
(q&((z&z)|t))
((z|(q|z))|t)
1
1
1
1
entailment
(d&(~((q>q))>q))
((z|(q|z))|t)
0
1
0
0
not entailment
(q&((z&z)|t))
(d|(t&d))
0
1
0
0
not entailment
(~((~(t)>q))&~(((~(t)&d)>(z|t))))
((z|z)>~(((d>~(d))>t)))
1
1
1
0
entailment
~(~(((t&d)&d)))
(q|(t|(t&z)))
1
1
0
0
entailment
(~((~(t)>q))&~(((~(t)&d)>(z|t))))
(q|(t|(t&z)))
0
1
1
0
not entailment
~(~(((t&d)&d)))
((z|z)>~(((d>~(d))>t)))
0
0
0
0
not entailment
(~(z)&(t&q))
((q|~(z))&(t|(((t|q)>q)>(t>q))))
1
0
1
0
entailment
~((d>q))
(d|~((d>t)))
1
0
0
0
entailment
(~(z)&(t&q))
(d|~((d>t)))
0
1
0
0
not entailment
~((d>q))
((q|~(z))&(t|(((t|q)>q)>(t>q))))
0
0
0
0
not entailment
(~((d&((q>(q>z))&(z|d))))>((d|q)&z))
(~((z&t))|(((z&q)&q)|d))
1
1
0
0
entailment
(~(~(((d|t)>(d>d))))>(z&t))
(t>(z&t))
1
1
1
0
entailment
(~((d&((q>(q>z))&(z|d))))>((d|q)&z))
(t>(z&t))
0
1
0
0
not entailment
(~(~(((d|t)>(d>d))))>(z&t))
(~((z&t))|(((z&q)&q)|d))
0
1
0
0
not entailment
~(t)
(~(t)|~((~(~(z))>q)))
1
0
0
0
entailment
(((z>q)|(q&(q&d)))&(t&q))
~(((t|(d|((d|z)&~(z))))>~(q)))
1
0
1
0
entailment
~(t)
~(((t|(d|((d|z)&~(z))))>~(q)))
0
0
0
0
not entailment
(((z>q)|(q&(q&d)))&(t&q))
(~(t)|~((~(~(z))>q)))
0
1
1
0
not entailment
(~((x|(~(~(u))&o)))&~((~(~(o))>k)))
((x>~(n))|m)
1
1
0
0
entailment
~(~(((y|(~((u>x))>z))&z)))
((f&y)>z)
1
1
0
0
entailment