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
((k&k)&~((u|~(~(~(((u|d)>u)))))))
(~((((v|(u>m))&(d|s))>((u|u)>~(v))))>s)
1
0
0
0
entailment
(((u|l)&((d|s)|s))|(q|d))
(~((((v|(u>m))&(d|s))>((u|u)>~(v))))>s)
0
0
0
0
not entailment
((k&k)&~((u|~(~(~(((u|d)>u)))))))
~(~(((d|s)|((q|m)|(a&(q&m))))))
0
1
0
0
not entailment
((a>((~((a>~(a)))|(q|v))|l))>((m&v)&s))
((((a>(k>s))>l)>(s&(s&(q>l))))>((a>l)>v))
1
1
0
0
entailment
~((~((k|~(((m|u)|~(u)))))>(u|~(m))))
(((l&k)>q)&(u>(l>l)))
1
1
0
0
entailment
((a>((~((a>~(a)))|(q|v))|l))>((m&v)&s))
(((l&k)>q)&(u>(l>l)))
0
1
0
0
not entailment
~((~((k|~(((m|u)|~(u)))))>(u|~(m))))
((((a>(k>s))>l)>(s&(s&(q>l))))>((a>l)>v))
0
1
0
0
not entailment
(((l|(d>k))|~((v&s)))&m)
((u>m)|(k|(v&(d|d))))
1
1
0
0
entailment
(~(~(~(((~(d)|a)>v))))&~(a))
(~((s|(d|~(v))))>~((((u&l)|k)>~(m))))
1
0
0
0
entailment
(((l|(d>k))|~((v&s)))&m)
(~((s|(d|~(v))))>~((((u&l)|k)>~(m))))
0
0
0
0
not entailment
(~(~(~(((~(d)|a)>v))))&~(a))
((u>m)|(k|(v&(d|d))))
0
1
0
0
not entailment
((z&(z>z))&~(~((~((z>c))|~(z)))))
~(((c&((c>z)|~(z)))&(c&(z&(z|c)))))
1
1
1
0
entailment
((c&c)&z)
((~(c)|z)&c)
1
0
1
0
entailment
((z&(z>z))&~(~((~((z>c))|~(z)))))
((~(c)|z)&c)
0
1
1
0
not entailment
((c&c)&z)
~(((c&((c>z)|~(z)))&(c&(z&(z|c)))))
0
0
1
0
not entailment
~((~(z)|c))
(((z&c)|c)>(z&z))
1
0
1
0
entailment
((~(c)&c)|((c&z)|(~(z)&(c|c))))
~(~((c&c)))
1
1
1
1
entailment
~((~(z)|c))
~(~((c&c)))
0
1
1
0
not entailment
((~(c)&c)|((c&z)|(~(z)&(c|c))))
(((z&c)|c)>(z&z))
0
1
1
1
not entailment
((~(c)>z)&~(c))
~(((c&z)&c))
1
1
1
0
entailment
(c&z)
((~(c)&((~(z)>z)>z))>(z&c))
1
0
1
0
entailment
((~(c)>z)&~(c))
((~(c)&((~(z)>z)>z))>(z&c))
0
0
1
0
not entailment
(c&z)
~(((c&z)&c))
0
0
1
0
not entailment
((z|~(c))>~((c>~((c&~(c))))))
~(~((c>~(~(~((c&((c|z)>(c&z)))))))))
1
0
1
0
entailment
((((z|c)|z)&z)&((z|c)>((c>c)>c)))
(z|((c>z)&c))
1
1
1
1
entailment
((z|~(c))>~((c>~((c&~(c))))))
(z|((c>z)&c))
0
1
1
0
not entailment
((((z|c)|z)&z)&((z|c)>((c>c)>c)))
~(~((c>~(~(~((c&((c|z)>(c&z)))))))))
0
0
1
1
not entailment
((z|c)&(z|~(~((c|z)))))
((~(c)>z)|(~(((c|c)|~((c>c))))&(c&c)))
1
0
1
0
entailment
~(c)
~(c)
1
1
1
1
entailment
((z|c)&(z|~(~((c|z)))))
~(c)
0
1
1
0
not entailment
~(c)
((~(c)>z)|(~(((c|c)|~((c>c))))&(c&c)))
0
0
0
0
not entailment
((c>c)&~((~(c)|z)))
~(z)
1
1
1
1
entailment
~((~((~(c)&c))>c))
(z|~(c))
1
1
0
0
entailment
((c>c)&~((~(c)|z)))
(z|~(c))
0
1
1
0
not entailment
~((~((~(c)&c))>c))
~(z)
0
1
0
0
not entailment
(((z|z)|z)>(c&((c|z)|(c>c))))
((z&~((c&(z>z))))>(c&c))
1
1
1
1
entailment
~(((~((~((z>c))&((c|(c>c))|c)))&z)&c))
~((((((z>c)&z)|c)&c)&(z&c)))
1
1
1
1
entailment
(((z|z)|z)>(c&((c|z)|(c>c))))
~((((((z>c)&z)|c)&c)&(z&c)))
0
1
1
1
not entailment
~(((~((~((z>c))&((c|(c>c))|c)))&z)&c))
((z&~((c&(z>z))))>(c&c))
0
1
1
1
not entailment
((v|(~(((i|m)&m))|v))&(g&b))
(u>((z&(g>z))|~(~((b|v)))))
1
1
0
0
entailment
~((y|m))
(((~(j)&h)|i)|~(~(~(((i|y)&y)))))
1
0
0
0
entailment
((v|(~(((i|m)&m))|v))&(g&b))
(((~(j)&h)|i)|~(~(~(((i|y)&y)))))
0
0
0
0
not entailment
~((y|m))
(u>((z&(g>z))|~(~((b|v)))))
0
0
0
0
not entailment
(~((j>~(u)))&(m&~(g)))
(~(g)|((y>b)|(((b&j)>j)&(((b|h)|g)&i))))
1
0
0
0
entailment
~((((~((i>b))|v)|z)&j))
((u|b)>(j>~((z&v))))
1
1
0
0
entailment
(~((j>~(u)))&(m&~(g)))
((u|b)>(j>~((z&v))))
0
1
0
0
not entailment
~((((~((i>b))|v)|z)&j))
(~(g)|((y>b)|(((b&j)>j)&(((b|h)|g)&i))))
0
0
0
0
not entailment
~((g>y))
~(y)
1
1
1
1
entailment
(~(((b&(v>y))>(u&(m>~(b)))))&g)
(b|((m>h)&(z|(u|(y|u)))))
1
1
0
0
entailment
~((g>y))
(b|((m>h)&(z|(u|(y|u)))))
0
0
0
0
not entailment
(~(((b&(v>y))>(u&(m>~(b)))))&g)
~(y)
0
1
1
0
not entailment
(~(~(~(z)))&~((v>y)))
(~(~(v))|b)
1
1
0
0
entailment
((g&(~(~((u&y)))>((h&g)&(v|j))))&(v>b))
(((v>((b&g)|h))|(v>u))|~((z>~(g))))
1
1
0
0
entailment
(~(~(~(z)))&~((v>y)))
(((v>((b&g)|h))|(v>u))|~((z>~(g))))
0
0
0
0
not entailment
((g&(~(~((u&y)))>((h&g)&(v|j))))&(v>b))
(~(~(v))|b)
0
1
1
1
not entailment
((b&g)&((z&j)>z))
(~(~((m&y)))>g)
1
1
0
0
entailment
(~(((~(((z&(v|v))&v))|(z|v))&h))&(v&j))
((((y|~(i))|v)>v)|((z>j)>h))
1
1
0
0
entailment
((b&g)&((z&j)>z))
((((y|~(i))|v)>v)|((z>j)>h))
0
0
0
0
not entailment
(~(((~(((z&(v|v))&v))|(z|v))&h))&(v&j))
(~(~((m&y)))>g)
0
1
0
0
not entailment
((y|g)&((j>(m|h))|((~(i)|b)&(g&y))))
(((j>y)|~(u))|((i|(j&i))|(g&~(i))))
1
1
0
0
entailment
((u&h)&(((j&j)&((m&(v&h))|m))&(j>z)))
((g>j)&(((m|~((i|g)))&h)|~(h)))
1
1
0
0
entailment
((y|g)&((j>(m|h))|((~(i)|b)&(g&y))))
((g>j)&(((m|~((i|g)))&h)|~(h)))
0
1
1
0
not entailment
((u&h)&(((j&j)&((m&(v&h))|m))&(j>z)))
(((j>y)|~(u))|((i|(j&i))|(g&~(i))))
0
1
0
0
not entailment
(h&~(((y>m)|z)))
(~(i)|(z>~(j)))
1
1
0
0
entailment
~(~(~((~(~((g|z)))>g))))
((g&y)>i)
1
1
0
0
entailment
(h&~(((y>m)|z)))
((g&y)>i)
0
1
0
0
not entailment
~(~(~((~(~((g|z)))>g))))
(~(i)|(z>~(j)))
0
1
0
0
not entailment
~((~(((m&h)|u))>(m>z)))
~(((z|(y|h))&u))
1
1
0
0
entailment
((z>~(m))&v)
((z|j)|(v|~(((m|u)|j))))
1
0
0
0
entailment
~((~(((m&h)|u))>(m>z)))
((z|j)|(v|~(((m|u)|j))))
0
1
0
0
not entailment
((z>~(m))&v)
~(((z|(y|h))&u))
0
0
0
0
not entailment
~(((y>v)>~(~(((i|i)>(i&g))))))
(~(~((z>i)))|(b|(u|j)))
1
1
0
0
entailment
((b>h)&~(((z|i)>h)))
~((((y&m)>((b|(y&g))&(v|u)))&(m&(j&h))))
1
0
0
0
entailment
~(((y>v)>~(~(((i|i)>(i&g))))))
~((((y&m)>((b|(y&g))&(v|u)))&(m&(j&h))))
0
0
0
0
not entailment
((b>h)&~(((z|i)>h)))
(~(~((z>i)))|(b|(u|j)))
0
0
0
0
not entailment
~((~((j&(b|b)))|~((v&y))))
(~(y)|((m&u)|((h>(j|j))&(m>(z>j)))))
1
0
0
0
entailment
~((i>b))
((b>m)>~(b))
1
0
0
0
entailment
~((~((j&(b|b)))|~((v&y))))
((b>m)>~(b))
0
1
0
0
not entailment
~((i>b))
(~(y)|((m&u)|((h>(j|j))&(m>(z>j)))))
0
0
0
0
not entailment
~(~((~(((v>b)>((i|h)|h)))&~(j))))
((((m|((i|j)>y))>y)|(~((i&v))|j))|(b|z))
1
0
0
0
entailment
(~((u>(y&((u|(v|v))|~(u)))))&(u&m))
((~(m)>~(z))|(m|h))
1
1
0
0
entailment
~(~((~(((v>b)>((i|h)|h)))&~(j))))
((~(m)>~(z))|(m|h))
0
1
0
0
not entailment
(~((u>(y&((u|(v|v))|~(u)))))&(u&m))
((((m|((i|j)>y))>y)|(~((i&v))|j))|(b|z))
0
0
0
0
not entailment
~((h>(~((~(u)&m))|~(~(j)))))
(h|i)
1
1
0
0
entailment
(((m|z)|((i|u)&(h>z)))&(i>z))
(i>z)
1
1
1
1
entailment
~((h>(~((~(u)&m))|~(~(j)))))
(i>z)
0
1
0
0
not entailment
(((m|z)|((i|u)&(h>z)))&(i>z))
(h|i)
0
1
1
0
not entailment
(b&(m&j))
(u|(j|h))
1
1
0
0
entailment
~(((g>j)|~(~(h))))
(((u>g)>g)|~(~(~(~(z)))))
1
0
0
0
entailment
(b&(m&j))
(((u>g)>g)|~(~(~(~(z)))))
0
0
0
0
not entailment
~(((g>j)|~(~(h))))
(u|(j|h))
0
1
0
0
not entailment
((u&(z&~((m>g))))&(m&u))
((~(((h>z)|h))>(h>y))>(u>z))
1
0
0
0
entailment
~((((~((y|m))|g)&y)>((m|(b>v))|j)))
~(~(~(((v>(b>b))&~(((m|y)>(v>y)))))))
1
0
1
0
entailment
((u&(z&~((m>g))))&(m&u))
~(~(~(((v>(b>b))&~(((m|y)>(v>y)))))))
0
0
0
0
not entailment
~((((~((y|m))|g)&y)>((m|(b>v))|j)))
((~(((h>z)|h))>(h>y))>(u>z))
0
1
0
0
not entailment
((((z&g)&h)&(m&g))&((b>v)|i))
~((~(m)&v))
1
1
1
0
entailment
~(g)
~((((j&g)&(b&v))&u))
1
0
0
0
entailment
((((z&g)&h)&(m&g))&((b>v)|i))
~((((j&g)&(b&v))&u))
0
1
0
0
not entailment
~(g)
~((~(m)&v))
0
0
0
0
not entailment
~(((((h&v)|z)|(v>(u|m)))|h))
((b>y)|(v|(i>j)))
1
1
0
0
entailment