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
(a&k)
(z|r)
0
1
0
0
not entailment
~(((q&(o&a))>(~((z>t))>s)))
((s>q)|k)
1
1
0
0
entailment
~((((o>((c|t)|k))|~((c|k)))&z))
(~((~(~(~(s)))&~(l)))|((c|~(z))|r))
1
0
0
0
entailment
~(((q&(o&a))>(~((z>t))>s)))
(~((~(~(~(s)))&~(l)))|((c|~(z))|r))
0
0
0
0
not entailment
~((((o>((c|t)|k))|~((c|k)))&z))
((s>q)|k)
0
1
0
0
not entailment
((o&a)&q)
(~(~((r>q)))|(z&(k&z)))
1
0
0
0
entailment
(~((r>l))&(t|s))
(o>((r|~(z))|~((c>(q>a)))))
1
0
0
0
entailment
((o&a)&q)
(o>((r|~(z))|~((c>(q>a)))))
0
0
0
0
not entailment
(~((r>l))&(t|s))
(~(~((r>q)))|(z&(k&z)))
0
0
0
0
not entailment
~((k>a))
((r|q)|(z|k))
1
0
0
0
entailment
(l&(o&c))
(((z>(l|o))|(c&c))&(l>l))
1
0
0
0
entailment
~((k>a))
(((z>(l|o))|(c&c))&(l>l))
0
0
0
0
not entailment
(l&(o&c))
((r|q)|(z|k))
0
0
0
0
not entailment
(z&(l|o))
(c|(~((q|l))|(r|(o>(z|z)))))
1
0
0
0
entailment
~(((o>((s|((k&c)|r))&(o|l)))|t))
(~(o)>((~(c)|(s>(q>~(q))))>r))
1
1
0
0
entailment
(z&(l|o))
(~(o)>((~(c)|(s>(q>~(q))))>r))
0
0
0
0
not entailment
~(((o>((s|((k&c)|r))&(o|l)))|t))
(c|(~((q|l))|(r|(o>(z|z)))))
0
1
0
0
not entailment
(c&(k&~((o>r))))
(~((~(k)>((k&q)|s)))|k)
1
0
0
0
entailment
(~((l>(z>r)))&(~((l|o))|l))
~((~((c>((r>z)&z)))&s))
1
1
0
0
entailment
(c&(k&~((o>r))))
~((~((c>((r>z)&z)))&s))
0
0
0
0
not entailment
(~((l>(z>r)))&(~((l|o))|l))
(~((~(k)>((k&q)|s)))|k)
0
1
0
0
not entailment
~(((z>l)|(~((s|c))|~((s&(c|l))))))
(~(t)|(((a>c)&l)|c))
1
1
0
0
entailment
(r&z)
(((r|~(s))|l)|(t&((~((o>s))>a)&(o>l))))
1
0
0
0
entailment
~(((z>l)|(~((s|c))|~((s&(c|l))))))
(((r|~(s))|l)|(t&((~((o>s))>a)&(o>l))))
0
0
0
0
not entailment
(r&z)
(~(t)|(((a>c)&l)|c))
0
0
0
0
not entailment
~((l|(~((t&(a|((l|o)&t))))>t)))
(l>a)
1
1
1
0
entailment
(t&(((r|l)&(o|c))|z))
(((s&((~(o)|z)&z))|(s|(a|t)))|s)
1
0
0
0
entailment
~((l|(~((t&(a|((l|o)&t))))>t)))
(((s&((~(o)|z)&z))|(s|(a|t)))|s)
0
1
0
0
not entailment
(t&(((r|l)&(o|c))|z))
(l>a)
0
1
0
0
not entailment
~(((s&z)|((s&s)>a)))
((z|z)>(t>c))
1
1
0
0
entailment
~((~(((a>(z>o))&(k>(c&z))))>(q|c)))
(((o&~(t))|(~(z)>a))>~(q))
1
1
0
0
entailment
~(((s&z)|((s&s)>a)))
(((o&~(t))|(~(z)>a))>~(q))
0
0
0
0
not entailment
~((~(((a>(z>o))&(k>(c&z))))>(q|c)))
((z|z)>(t>c))
0
1
0
0
not entailment
(~(((t>c)|r))&(o|o))
(((t&c)>(((o|r)>q)>(l|o)))|s)
1
0
0
0
entailment
(((r>c)>((t>a)|~(z)))&((a|(s>c))&(a&c)))
~(~((r|a)))
1
1
1
1
entailment
(~(((t>c)|r))&(o|o))
~(~((r|a)))
0
1
0
0
not entailment
(((r>c)>((t>a)|~(z)))&((a|(s>c))&(a&c)))
(((t&c)>(((o|r)>q)>(l|o)))|s)
0
1
0
0
not entailment
(l&~((s&~(a))))
~(~(((~(((a&(t>r))>a))>(l&r))&l)))
1
0
0
0
entailment
((t>o)&((~(c)&(z|((a|l)&r)))&(o|(c>r))))
((~((a>q))|z)|((z>t)>(r|c)))
1
1
0
0
entailment
(l&~((s&~(a))))
((~((a>q))|z)|((z>t)>(r|c)))
0
0
0
0
not entailment
((t>o)&((~(c)&(z|((a|l)&r)))&(o|(c>r))))
~(~(((~(((a&(t>r))>a))>(l&r))&l)))
0
1
1
0
not entailment
~(((q>(((l&~(a))>k)&(q|s)))|k))
((k>~((((t|q)|r)|~(r))))>(~((q>l))>c))
1
0
0
0
entailment
(r&o)
(~(~(c))|((q>(s>((r|c)|t)))|k))
1
0
0
0
entailment
~(((q>(((l&~(a))>k)&(q|s)))|k))
(~(~(c))|((q>(s>((r|c)|t)))|k))
0
1
0
0
not entailment
(r&o)
((k>~((((t|q)|r)|~(r))))>(~((q>l))>c))
0
0
0
0
not entailment
(((r|(w&r))|~((~((w>h))>w)))&n)
(n|r)
1
1
1
1
entailment
~((w>~((h>(~(w)&h)))))
((n&(n&h))>(w&n))
1
1
0
0
entailment
(((r|(w&r))|~((~((w>h))>w)))&n)
((n&(n&h))>(w&n))
0
1
1
0
not entailment
~((w>~((h>(~(w)&h)))))
(n|r)
0
1
0
0
not entailment
~(~((n|(r|(w&n)))))
~((~((~((n|~((w|r))))|n))&h))
1
0
0
0
entailment
~(((~((h|h))>(~(n)&h))>r))
(((n>(h>h))>((w|h)&r))>h)
1
1
0
0
entailment
~(~((n|(r|(w&n)))))
(((n>(h>h))>((w|h)&r))>h)
0
0
0
0
not entailment
~(((~((h|h))>(~(n)&h))>r))
~((~((~((n|~((w|r))))|n))&h))
0
0
0
0
not entailment
~(((w>h)|(w>(w&((n>(~(r)|w))>h)))))
((w|(r|r))>((w|r)&w))
1
1
1
0
entailment
~(((n>w)&(((r|w)>(w|w))>w)))
(w>((r|h)&w))
1
1
0
0
entailment
~(((w>h)|(w>(w&((n>(~(r)|w))>h)))))
(w>((r|h)&w))
0
1
1
0
not entailment
~(((n>w)&(((r|w)>(w|w))>w)))
((w|(r|r))>((w|r)&w))
0
1
1
0
not entailment
~((h>r))
(r|h)
1
1
1
0
entailment
(w|w)
((((w>n)>w)|(r&r))&((r|h)>~(~((r|w)))))
1
0
0
0
entailment
~((h>r))
((((w>n)>w)|(r&r))&((r|h)>~(~((r|w)))))
0
0
0
0
not entailment
(w|w)
(r|h)
0
1
0
0
not entailment
(h&h)
((w|r)>((w|w)|(((n&r)>h)|(~(r)&n))))
1
0
0
0
entailment
~(~(~(~((r&r)))))
((~(r)|w)>w)
1
1
0
0
entailment
(h&h)
((~(r)|w)>w)
0
0
0
0
not entailment
~(~(~(~((r&r)))))
((w|r)>((w|w)|(((n&r)>h)|(~(r)&n))))
0
0
0
0
not entailment
~((~(n)|w))
(((n>(w>w))&((h|r)|n))|(~(h)&w))
1
0
0
0
entailment
(((n&~(~((((h|r)>w)>w))))>~(h))&~(n))
(~((w&r))>((n&r)>(w&~((n>r)))))
1
1
1
0
entailment
~((~(n)|w))
(~((w&r))>((n&r)>(w&~((n>r)))))
0
0
0
0
not entailment
(((n&~(~((((h|r)>w)>w))))>~(h))&~(n))
(((n>(w>w))&((h|r)|n))|(~(h)&w))
0
1
1
0
not entailment
~(~(r))
(r|r)
1
1
1
1
entailment
(~((((r|(~(r)>h))|n)>(h|h)))&~((r|h)))
((w&((r|r)&~((r>w))))|(~(w)>(h>n)))
1
1
0
0
entailment
~(~(r))
((w&((r|r)&~((r>w))))|(~(w)>(h>n)))
0
0
0
0
not entailment
(~((((r|(~(r)>h))|n)>(h|h)))&~((r|h)))
(r|r)
0
1
1
1
not entailment
(r&((n>h)&~(w)))
(((~((w>~((r>r))))&(h&h))>~(h))|r)
1
0
1
0
entailment
(n&(h&~((r&r))))
((w|(h&n))|(h&h))
1
1
0
0
entailment
(r&((n>h)&~(w)))
((w|(h&n))|(h&h))
0
1
1
0
not entailment
(n&(h&~((r&r))))
(((~((w>~((r>r))))&(h&h))>~(h))|r)
0
0
0
0
not entailment
(r&w)
(((r>w)&h)>(w>r))
1
0
0
0
entailment
(n&w)
(h>((n&(w&w))&((w>n)>~((~(n)|~(h))))))
1
0
0
0
entailment
(r&w)
(h>((n&(w&w))&((w>n)>~((~(n)|~(h))))))
0
0
0
0
not entailment
(n&w)
(((r>w)&h)>(w>r))
0
0
0
0
not entailment
(((n&(r|r))&(~(n)|n))&(n|n))
((w|n)>n)
1
1
0
0
entailment
(~(~((h&r)))&w)
((n>r)>w)
1
1
0
0
entailment
(((n&(r|r))&(~(n)|n))&(n|n))
((n>r)>w)
0
1
0
0
not entailment
(~(~((h&r)))&w)
((w|n)>n)
0
1
0
0
not entailment
(((w>r)|(h&n))&~(~((w|n))))
((h&((~(w)&h)>(r&((n|r)>w))))|(w>r))
1
0
1
0
entailment
((n&(w&(h&r)))|((n|w)&~((n>r))))
((r&n)|n)
1
1
1
1
entailment
(((w>r)|(h&n))&~(~((w|n))))
((r&n)|n)
0
1
1
1
not entailment
((n&(w&(h&r)))|((n|w)&~((n>r))))
((h&((~(w)&h)>(r&((n|r)>w))))|(w>r))
0
0
1
0
not entailment
(((h>w)&w)&((w|w)&((r|(n>r))&r)))
((n|(h&((h&w)>w)))|r)
1
1
1
0
entailment
~((r|w))
~((w&(r|n)))
1
0
0
0
entailment
(((h>w)&w)&((w|w)&((r|(n>r))&r)))
~((w&(r|n)))
0
1
1
0
not entailment
~((r|w))
((n|(h&((h&w)>w)))|r)
0
0
0
0
not entailment
(n&(n>r))
(~(((n|r)>~(~((h>n)))))>(~(r)|w))
1
0
0
0
entailment
(~(n)&~(~(~(n))))
~(n)
1
1
1
1
entailment
(n&(n>r))
~(n)
0
1
1
1
not entailment
(~(n)&~(~(~(n))))
(~(((n|r)>~(~((h>n)))))>(~(r)|w))
0
0
0
0
not entailment
((n&w)&(~((w&h))|~(~((w|h)))))
((~(n)&(r&w))|(n|((n&h)|w)))
1
1
0
0
entailment
(n>((w&~(h))&r))
(((~(n)|(r|~(n)))&w)|(n>h))
1
0
1
0
entailment
((n&w)&(~((w&h))|~(~((w|h)))))
(((~(n)|(r|~(n)))&w)|(n>h))
0
1
0
0
not entailment