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
~((~(d)>~(((l|d)&l))))
(d&~(~((l|~(l)))))
0
1
1
0
not entailment
(d|d)
(((l>l)&d)>(l&l))
0
0
0
0
not entailment
~((~((j>s))>(h>v)))
(~(p)>j)
1
1
0
0
entailment
(v&((h>h)|h))
((a&~(v))>~(~(((a>(s>~(a)))>v))))
1
0
0
0
entailment
~((~((j>s))>(h>v)))
((a&~(v))>~(~(((a>(s>~(a)))>v))))
0
0
0
0
not entailment
(v&((h>h)|h))
(~(p)>j)
0
1
0
0
not entailment
~(~((j&a)))
(p|(((h>~(~(p)))|(a>p))|(v|j)))
1
0
0
0
entailment
((h>~(~((s|p))))&(h&a))
(a>(((p&v)>h)|(h&(a>~(~(a))))))
1
0
0
0
entailment
~(~((j&a)))
(a>(((p&v)>h)|(h&(a>~(~(a))))))
0
0
0
0
not entailment
((h>~(~((s|p))))&(h&a))
(p|(((h>~(~(p)))|(a>p))|(v|j)))
0
0
0
0
not entailment
((((j|v)>s)|~(~((p&v))))&(s|j))
((s|v)|(s|(~(p)&j)))
1
1
1
0
entailment
(p|p)
((((h>v)>s)>~(~(((p|a)|(a|v)))))|(s&a))
1
0
0
0
entailment
((((j|v)>s)|~(~((p&v))))&(s|j))
((((h>v)>s)>~(~(((p|a)|(a|v)))))|(s&a))
0
0
0
0
not entailment
(p|p)
((s|v)|(s|(~(p)&j)))
0
0
0
0
not entailment
~((((h>(a|v))|((a&a)&(p>s)))>~((j&v))))
(j&((a|s)|((h&a)>v)))
1
1
1
0
entailment
(v&((h&h)>a))
(h>(s>a))
1
1
0
0
entailment
~((((h>(a|v))|((a&a)&(p>s)))>~((j&v))))
(h>(s>a))
0
1
1
0
not entailment
(v&((h&h)>a))
(j&((a|s)|((h&a)>v)))
0
0
0
0
not entailment
(v|(h&v))
((h&a)>v)
1
1
0
0
entailment
~(((p>~((v>h)))|(((s>j)&~((v|h)))|s)))
(~(a)>((p&h)&(a>j)))
1
1
0
0
entailment
(v|(h&v))
(~(a)>((p&h)&(a>j)))
0
0
0
0
not entailment
~(((p>~((v>h)))|(((s>j)&~((v|h)))|s)))
((h&a)>v)
0
1
0
0
not entailment
(v&a)
~(~((~(v)>~((j>(((s>h)&h)>s))))))
1
0
0
0
entailment
(((p>(j&p))&p)&~(s))
((s&a)|j)
1
1
0
0
entailment
(v&a)
((s&a)|j)
0
0
0
0
not entailment
(((p>(j&p))&p)&~(s))
~(~((~(v)>~((j>(((s>h)&h)>s))))))
0
0
0
0
not entailment
~(((v>(p&(h|v)))|(~(v)&(s&a))))
~(p)
1
1
1
1
entailment
((j>s)&~(~(((v&v)&s))))
((((v|(h|(h>v)))|j)|~(h))>s)
1
0
0
0
entailment
~(((v>(p&(h|v)))|(~(v)&(s&a))))
((((v|(h|(h>v)))|j)|~(h))>s)
0
1
0
0
not entailment
((j>s)&~(~(((v&v)&s))))
~(p)
0
1
0
0
not entailment
(((~(s)>p)&~(p))&(v&~(((h&~(p))&a))))
((~(~((~(v)|p)))&(((j|a)|p)|v))>a)
1
1
0
0
entailment
~(~(~(j)))
~(((j&j)&h))
1
1
0
0
entailment
(((~(s)>p)&~(p))&(v&~(((h&~(p))&a))))
~(((j&j)&h))
0
1
0
0
not entailment
~(~(~(j)))
((~(~((~(v)|p)))&(((j|a)|p)|v))>a)
0
0
0
0
not entailment
(((a>s)&p)&j)
(v>(a>j))
1
1
0
0
entailment
(s|a)
((((h|a)&(h&~(a)))&(p&~(v)))>s)
1
0
0
0
entailment
(((a>s)&p)&j)
((((h|a)&(h&~(a)))&(p&~(v)))>s)
0
0
0
0
not entailment
(s|a)
(v>(a>j))
0
0
0
0
not entailment
~((~(((~(v)|(j&s))>~((j|(j|j)))))|p))
~(p)
1
1
1
1
entailment
(j&h)
(j|s)
1
1
0
0
entailment
~((~(((~(v)|(j&s))>~((j|(j|j)))))|p))
(j|s)
0
1
1
0
not entailment
(j&h)
~(p)
0
1
0
0
not entailment
(h&((p>j)&(a>p)))
(((s&v)|p)|(~((v&a))|((v>s)&p)))
1
0
0
0
entailment
(a&(~((j&p))|s))
((j&j)|(s>(a|p)))
1
1
1
0
entailment
(h&((p>j)&(a>p)))
((j&j)|(s>(a|p)))
0
1
0
0
not entailment
(a&(~((j&p))|s))
(((s&v)|p)|(~((v&a))|((v>s)&p)))
0
0
0
0
not entailment
~(((~(h)|~((d|(y&u))))|((y&t)>l)))
((((d|(b&l))&z)>d)|u)
1
1
0
0
entailment
(~(u)&b)
(~(b)>(~(z)&((u&d)>u)))
1
0
0
0
entailment
~(((~(h)|~((d|(y&u))))|((y&t)>l)))
(~(b)>(~(z)&((u&d)>u)))
0
1
0
0
not entailment
(~(u)&b)
((((d|(b&l))&z)>d)|u)
0
0
0
0
not entailment
(b&~(l))
(l>(((l&t)&d)|((~(y)&n)&b)))
1
0
0
0
entailment
((d&(n>n))&(w|(u>w)))
(d|~((~((w|w))&(u>(n>z)))))
1
0
0
0
entailment
(b&~(l))
(d|~((~((w|w))&(u>(n>z)))))
0
0
0
0
not entailment
((d&(n>n))&(w|(u>w)))
(l>(((l&t)&d)|((~(y)&n)&b)))
0
0
0
0
not entailment
~(~(~(~(~(~(d))))))
(b|((y>d)|~((u&u))))
1
1
0
0
entailment
((h>l)&(((w&(h|d))>w)>(n&t)))
((l|y)>t)
1
1
0
0
entailment
~(~(~(~(~(~(d))))))
((l|y)>t)
0
1
0
0
not entailment
((h>l)&(((w&(h|d))>w)>(n&t)))
(b|((y>d)|~((u&u))))
0
1
0
0
not entailment
~(((b>n)>((d&z)>~((b&n)))))
(~(~(~(z)))>((w>(t&t))>~(n)))
1
0
0
0
entailment
~(((u&y)>(d&y)))
((b>u)|((h|t)|t))
1
1
0
0
entailment
~(((b>n)>((d&z)>~((b&n)))))
((b>u)|((h|t)|t))
0
1
0
0
not entailment
~(((u&y)>(d&y)))
(~(~(~(z)))>((w>(t&t))>~(n)))
0
0
0
0
not entailment
((h>(l&u))&(y&(((y|u)|(y>t))&t)))
((h|(w|t))|((u|~(~(w)))>(n>z)))
1
1
0
0
entailment
(n&~((w&((u&h)&(w&~(h))))))
(n|((w&l)|((b>d)|l)))
1
1
0
0
entailment
((h>(l&u))&(y&(((y|u)|(y>t))&t)))
(n|((w&l)|((b>d)|l)))
0
1
0
0
not entailment
(n&~((w&((u&h)&(w&~(h))))))
((h|(w|t))|((u|~(~(w)))>(n>z)))
0
0
0
0
not entailment
(b&d)
((l&d)|((n&(b|w))>b))
1
0
0
0
entailment
((u&(z&t))|h)
((t|y)|(~(l)|(b>h)))
1
0
0
0
entailment
(b&d)
((t|y)|(~(l)|(b>h)))
0
0
0
0
not entailment
((u&(z&t))|h)
((l&d)|((n&(b|w))>b))
0
0
0
0
not entailment
((~(((b|l)&n))&~(~((h&b))))&(~(n)|h))
((d|(u>h))|z)
1
1
0
0
entailment
~((n|(~(z)>~(t))))
(t|((z>(h&~(b)))&((y>n)|n)))
1
0
0
0
entailment
((~(((b|l)&n))&~(~((h&b))))&(~(n)|h))
(t|((z>(h&~(b)))&((y>n)|n)))
0
1
0
0
not entailment
~((n|(~(z)>~(t))))
((d|(u>h))|z)
0
1
0
0
not entailment
(d|(d&b))
((w|t)|(((d&n)|h)|((~(h)|b)>d)))
1
0
0
0
entailment
(~((n>(b|(w&d))))&(l|~(h)))
((y&z)>(n|h))
1
1
0
0
entailment
(d|(d&b))
((y&z)>(n|h))
0
0
0
0
not entailment
(~((n>(b|(w&d))))&(l|~(h)))
((w|t)|(((d&n)|h)|((~(h)|b)>d)))
0
0
0
0
not entailment
((z|(l&z))&(t&(~(d)|~(~(l)))))
~(~((u>(d>l))))
1
1
0
0
entailment
(d&u)
(~(y)>d)
1
0
0
0
entailment
((z|(l&z))&(t&(~(d)|~(~(l)))))
(~(y)>d)
0
1
0
0
not entailment
(d&u)
~(~((u>(d>l))))
0
0
0
0
not entailment
(l&y)
((l|t)>(d|(h|(z|l))))
1
0
0
0
entailment
(~(((~(~((y>(l|z))))>n)>y))&~((l&l)))
((y&(~(y)>(~((d|((d&y)|l)))|(l>n))))>h)
1
1
0
0
entailment
(l&y)
((y&(~(y)>(~((d|((d&y)|l)))|(l>n))))>h)
0
0
0
0
not entailment
(~(((~(~((y>(l|z))))>n)>y))&~((l&l)))
((l|t)>(d|(h|(z|l))))
0
1
0
0
not entailment
((u&t)&~((b|~(((b>(h>~(w)))|t)))))
((h>n)|(u|(~(u)&(z|(n|y)))))
1
1
0
0
entailment
((u|(u&y))>~(((h>n)|(~(~(n))|h))))
~((n&(n&u)))
1
1
1
1
entailment
((u&t)&~((b|~(((b>(h>~(w)))|t)))))
~((n&(n&u)))
0
1
0
0
not entailment
((u|(u&y))>~(((h>n)|(~(~(n))|h))))
((h>n)|(u|(~(u)&(z|(n|y)))))
0
1
0
0
not entailment
(~(~(~((~((h&y))|~(~(u))))))&(z>z))
((y|d)|(d&(d>((y>b)>y))))
1
1
0
0
entailment
((~((y|n))>y)&n)
(n&(u>(w>w)))
1
1
0
0
entailment
(~(~(~((~((h&y))|~(~(u))))))&(z>z))
(n&(u>(w>w)))
0
1
0
0
not entailment
((~((y|n))>y)&n)
((y|d)|(d&(d>((y>b)>y))))
0
0
0
0
not entailment
~(~(~(~((z&w)))))
(~((w&z))>((y>n)|l))
1
1
0
0
entailment
(y&((t&(t&z))|(u&w)))
(((b&l)|h)>((~(d)&l)|y))
1
0
0
0
entailment
~(~(~(~((z&w)))))
(((b&l)|h)>((~(d)&l)|y))
0
0
0
0
not entailment
(y&((t&(t&z))|(u&w)))
(~((w&z))>((y>n)|l))
0
1
0
0
not entailment
((n&z)&w)
((n|y)|(l>u))
1
0
0
0
entailment
~(~((l&(b|y))))
((~(y)|(((l>l)|~(t))&(h>u)))>(l&(t>t)))
1
0
0
0
entailment