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