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>~(~((b&s)))))
((~(v)|s)>((~((s|n))|i)|z))
0
0
0
0
not entailment
~(~(s))
((((i|v)&b)>s)|((~((b&n))|d)&b))
1
0
0
0
entailment
(n&~((h>~(b))))
((b|n)|(i&i))
1
1
0
0
entailment
~(~(s))
((b|n)|(i&i))
0
0
0
0
not entailment
(n&~((h>~(b))))
((((i|v)&b)>s)|((~((b&n))|d)&b))
0
0
0
0
not entailment
~((~(d)>z))
(~(d)|(d>(s>(z&h))))
1
0
0
0
entailment
~((b|~((n|d))))
~((b&((h&(n|d))&(s&(v&s)))))
1
0
0
0
entailment
~((~(d)>z))
~((b&((h&(n|d))&(s&(v&s)))))
0
0
0
0
not entailment
~((b|~((n|d))))
(~(d)|(d>(s>(z&h))))
0
0
0
0
not entailment
((i&(d|(i|i)))&~((b&i)))
(d>~(b))
1
1
1
0
entailment
~(s)
(~((h|z))|~((s&v)))
1
0
0
0
entailment
((i&(d|(i|i)))&~((b&i)))
(~((h|z))|~((s&v)))
0
1
0
0
not entailment
~(s)
(d>~(b))
0
0
0
0
not entailment
(((v&(h&v))|(n>(i>(i&s))))&h)
((d&(i&v))>(i&(h&h)))
1
1
0
0
entailment
(b|n)
((d|b)|(~((~((v&z))|(d|i)))>(n&v)))
1
0
0
0
entailment
(((v&(h&v))|(n>(i>(i&s))))&h)
((d|b)|(~((~((v&z))|(d|i)))>(n&v)))
0
0
0
0
not entailment
(b|n)
((d&(i&v))>(i&(h&h)))
0
0
0
0
not entailment
((d|z)&((((h|i)>v)|h)>~((v&v))))
~(~((v>~(b))))
1
1
0
0
entailment
((h&s)&b)
~((z&(~(s)&h)))
1
0
0
0
entailment
((d|z)&((((h|i)>v)|h)>~((v&v))))
~((z&(~(s)&h)))
0
1
0
0
not entailment
((h&s)&b)
~(~((v>~(b))))
0
0
0
0
not entailment
((y&((z&n)&~(y)))|(n&~((b&y))))
((~(y)>(y|n))&((n|w)|(z|~((n>n)))))
1
0
0
0
entailment
(((w&(l>b))|(l|(y&y)))>~((l&y)))
~((y&l))
1
1
1
1
entailment
((y&((z&n)&~(y)))|(n&~((b&y))))
~((y&l))
0
1
0
0
not entailment
(((w&(l>b))|(l|(y&y)))>~((l&y)))
((~(y)>(y|n))&((n|w)|(z|~((n>n)))))
0
0
0
0
not entailment
~(~(~(((y&y)|z))))
~((y&b))
1
1
0
0
entailment
~(((((y&z)|(z>~(l)))&(l&(y|z)))>(z&b)))
(~((y&(~(n)&l)))>((((n|z)|l)|y)>l))
1
1
0
0
entailment
~(~(~(((y&y)|z))))
(~((y&(~(n)&l)))>((((n|z)|l)|y)>l))
0
0
0
0
not entailment
~(((((y&z)|(z>~(l)))&(l&(y|z)))>(z&b)))
~((y&b))
0
1
1
0
not entailment
~((b>(z>n)))
(n>w)
1
1
0
0
entailment
(l&n)
((w&w)>(~((y&(z&z)))|(((z>l)>(b>w))&n)))
1
0
0
0
entailment
~((b>(z>n)))
((w&w)>(~((y&(z&z)))|(((z>l)>(b>w))&n)))
0
0
0
0
not entailment
(l&n)
(n>w)
0
1
0
0
not entailment
((l|w)&b)
(y>((n>l)|~(~((b>(w|l))))))
1
0
0
0
entailment
(z&n)
((~(((w>l)&(b&z)))&(b|(l|(z&~(l)))))>z)
1
0
0
0
entailment
((l|w)&b)
((~(((w>l)&(b&z)))&(b|(l|(z&~(l)))))>z)
0
0
0
0
not entailment
(z&n)
(y>((n>l)|~(~((b>(w|l))))))
0
0
0
0
not entailment
(w|z)
((z|(b|w))|((w&z)&b))
1
0
0
0
entailment
~((((w|y)&y)|((l>n)>~((l|n)))))
((((z&l)>n)|((n&n)&(n|l)))>~(y))
1
1
0
0
entailment
(w|z)
((((z&l)>n)|((n&n)&(n|l)))>~(y))
0
0
0
0
not entailment
~((((w|y)&y)|((l>n)>~((l|n)))))
((z|(b|w))|((w&z)&b))
0
1
0
0
not entailment
~((~((z&n))|(w>(l|(y|(z>y))))))
~(~((w&((w|y)|n))))
1
1
1
0
entailment
~((((y|l)|n)&((w&(l&n))>n)))
(((n&w)|y)>(~(y)>(y|(w>b))))
1
1
0
0
entailment
~((~((z&n))|(w>(l|(y|(z>y))))))
(((n&w)|y)>(~(y)>(y|(w>b))))
0
1
0
0
not entailment
~((((y|l)|n)&((w&(l&n))>n)))
~(~((w&((w|y)|n))))
0
1
1
0
not entailment
(z&(((b|((y|l)|(n|(w|y))))|l)&~(n)))
((((b&b)>w)&z)|z)
1
1
1
0
entailment
(w&l)
(z>l)
1
1
0
0
entailment
(z&(((b|((y|l)|(n|(w|y))))|l)&~(n)))
(z>l)
0
1
1
0
not entailment
(w&l)
((((b&b)>w)&z)|z)
0
0
0
0
not entailment
(b&~((w>~(~((l&n))))))
((l&~(y))>~(n))
1
1
0
0
entailment
~((z>~(w)))
(((y|(n&~(w)))&y)|z)
1
0
0
0
entailment
(b&~((w>~(~((l&n))))))
(((y|(n&~(w)))&y)|z)
0
1
0
0
not entailment
~((z>~(w)))
((l&~(y))>~(n))
0
0
0
0
not entailment
(b&(y>b))
(~(~(b))|~(w))
1
0
0
0
entailment
~((~((((b>b)>(w>y))&(y>y)))>n))
(~(((l|z)&n))>((w|(z&w))|(~(l)>y)))
1
0
0
0
entailment
(b&(y>b))
(~(((l|z)&n))>((w|(z&w))|(~(l)>y)))
0
0
0
0
not entailment
~((~((((b>b)>(w>y))&(y>y)))>n))
(~(~(b))|~(w))
0
1
1
0
not entailment
((z>b)&w)
((~((l&y))|(y&b))|(w|z))
1
0
0
0
entailment
~(((b|n)|~(((w>l)|(l&l)))))
(~(~(~((l|l))))|~(b))
1
1
1
0
entailment
((z>b)&w)
(~(~(~((l|l))))|~(b))
0
0
0
0
not entailment
~(((b|n)|~(((w>l)|(l&l)))))
((~((l&y))|(y&b))|(w|z))
0
1
0
0
not entailment
((~((~(b)&b))&y)|(n&(b&l)))
(~(((w&l)|n))>~(~((l>(y|n)))))
1
0
0
0
entailment
((z|(~((w&~(n)))>(b>w)))>~(b))
(~((~((w&n))|((b>z)&n)))>l)
1
1
0
0
entailment
((~((~(b)&b))&y)|(n&(b&l)))
(~((~((w&n))|((b>z)&n)))>l)
0
1
0
0
not entailment
((z|(~((w&~(n)))>(b>w)))>~(b))
(~(((w&l)|n))>~(~((l>(y|n)))))
0
1
0
0
not entailment
~((w>b))
((~(y)>n)|w)
1
0
0
0
entailment
~((w>b))
(l>z)
0
1
0
0
not entailment
~(l)
((~(y)>n)|w)
0
0
0
0
not entailment
(b&(((l&l)>(~(l)&(b>l)))&(z|w)))
(((n|(~(l)|y))>(~(l)|~((z&~(n)))))|w)
1
0
0
0
entailment
~((w|(n&((z>b)>n))))
((w&~(l))>((~(~((l>b)))>(y|n))|n))
1
0
0
0
entailment
(b&(((l&l)>(~(l)&(b>l)))&(z|w)))
((w&~(l))>((~(~((l>b)))>(y|n))|n))
0
0
0
0
not entailment
~((w|(n&((z>b)>n))))
(((n|(~(l)|y))>(~(l)|~((z&~(n)))))|w)
0
0
0
0
not entailment
~(((b|z)|~((b>~((y|b))))))
~(((y>(n|w))&z))
1
1
0
0
entailment
(n&z)
(~((b>w))|(~(~(y))|n))
1
0
0
0
entailment
~(((b|z)|~((b>~((y|b))))))
(~((b>w))|(~(~(y))|n))
0
1
0
0
not entailment
(n&z)
~(((y>(n|w))&z))
0
0
0
0
not entailment
(~((b>(n>(b>z))))&~(~(~((l&l)))))
(n|(~((l&y))>l))
1
1
0
0
entailment
(z&(~(((z&l)&(b>b)))|y))
((y&b)>(y&z))
1
1
1
0
entailment
(~((b>(n>(b>z))))&~(~(~((l&l)))))
((y&b)>(y&z))
0
1
0
0
not entailment
(z&(~(((z&l)&(b>b)))|y))
(n|(~((l&y))>l))
0
1
0
0
not entailment
~((~(((j&h)|f))|b))
((a&((s|b)|c))|~(b))
1
1
0
0
entailment
(h&(f|f))
(h|((v>c)&(j>o)))
1
0
0
0
entailment
~((~(((j&h)|f))|b))
(h|((v>c)&(j>o)))
0
1
0
0
not entailment
(h&(f|f))
((a&((s|b)|c))|~(b))
0
0
0
0
not entailment
~((~(b)>((v|(f|f))|b)))
~(~((f>a)))
1
1
0
0
entailment
(b&~(~((~(~(c))&(f|(b&(i&h)))))))
(b&(~(a)|c))
1
1
0
0
entailment
~((~(b)>((v|(f|f))|b)))
(b&(~(a)|c))
0
1
0
0
not entailment
(b&~(~((~(~(c))&(f|(b&(i&h)))))))
~(~((f>a)))
0
1
0
0
not entailment
~((~((v>j))>(~((j|h))&(v>(s>(j|a))))))
(((a>~(~(o)))&c)|(j>(o&c)))
1
1
0
0
entailment
(i>(~((a|b))&c))
(~(((i&o)>~(b)))>(h&v))
1
0
0
0
entailment
~((~((v>j))>(~((j|h))&(v>(s>(j|a))))))
(~(((i&o)>~(b)))>(h&v))
0
1
0
0
not entailment
(i>(~((a|b))&c))
(((a>~(~(o)))&c)|(j>(o&c)))
0
0
0
0
not entailment
~((((s>i)|o)|(c>(f>(h&b)))))
(f|(((j&s)>(o&f))|f))
1
1
0
0
entailment
(~((v>a))&((j>o)&v))
((v>(s&(i>c)))>((~(~(i))&(j>o))|(v|h)))
1
0
0
0
entailment
~((((s>i)|o)|(c>(f>(h&b)))))
((v>(s&(i>c)))>((~(~(i))&(j>o))|(v|h)))
0
0
0
0
not entailment
(~((v>a))&((j>o)&v))
(f|(((j&s)>(o&f))|f))
0
1
0
0
not entailment
(h&b)
(~(i)|b)
1
0
0
0
entailment
((h|(j&c))&~((a>h)))
((h&i)>(f>(b>s)))
1
1
0
0
entailment
(h&b)
((h&i)>(f>(b>s)))
0
0
0
0
not entailment
((h|(j&c))&~((a>h)))
(~(i)|b)
0
1
0
0
not entailment