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
(~((x|(~(~(u))&o)))&~((~(~(o))>k)))
((f&y)>z)
0
1
0
0
not entailment
~(~(((y|(~((u>x))>z))&z)))
((x>~(n))|m)
0
1
0
0
not entailment
((m>((o|f)>((y&o)&f)))&~(~(~((m|y)))))
((~(b)|~(~(~((y&f)))))|(o|u))
1
1
0
0
entailment
~(((((b>x)&b)|m)>~(~((n>o)))))
(o>(x&y))
1
1
0
0
entailment
((m>((o|f)>((y&o)&f)))&~(~(~((m|y)))))
(o>(x&y))
0
1
0
0
not entailment
~(((((b>x)&b)|m)>~(~((n>o)))))
((~(b)|~(~(~((y&f)))))|(o|u))
0
1
0
0
not entailment
((((k>y)|(y|(u|n)))>(k&b))&(~(n)>~(y)))
(((k&(y>m))|y)|((~(o)>~(m))&~(k)))
1
1
0
0
entailment
(((f>(x|k))|~(f))&(m&u))
(~(((o>(u>n))&~((~(x)|~(o)))))|m)
1
0
0
0
entailment
((((k>y)|(y|(u|n)))>(k&b))&(~(n)>~(y)))
(~(((o>(u>n))&~((~(x)|~(o)))))|m)
0
1
0
0
not entailment
(((f>(x|k))|~(f))&(m&u))
(((k&(y>m))|y)|((~(o)>~(m))&~(k)))
0
0
0
0
not entailment
(y>z)
((n|(~(y)|(~(m)>z)))|~(~(z)))
1
0
0
0
entailment
~(~(~((y>~(x)))))
((k>u)>y)
1
1
0
0
entailment
(y>z)
((k>u)>y)
0
0
0
0
not entailment
~(~(~((y>~(x)))))
((n|(~(y)|(~(m)>z)))|~(~(z)))
0
0
0
0
not entailment
~(((u&y)|o))
(b|(m>(o>b)))
1
1
0
0
entailment
~(~(((z>k)&~((u|k)))))
(~(f)>~(z))
1
1
0
0
entailment
~(((u&y)|o))
(~(f)>~(z))
0
1
0
0
not entailment
~(~(((z>k)&~((u|k)))))
(b|(m>(o>b)))
0
1
0
0
not entailment
(~(~(o))&((m&y)>((m>~(x))|(u|o))))
(~((~(y)&~(~(~(n)))))|o)
1
1
0
0
entailment
(z&~(k))
((f&u)>(z&(b>z)))
1
0
0
0
entailment
(~(~(o))&((m&y)>((m>~(x))|(u|o))))
((f&u)>(z&(b>z)))
0
1
0
0
not entailment
(z&~(k))
(~((~(y)&~(~(~(n)))))|o)
0
0
0
0
not entailment
~(((m|(~((o&u))|~(y)))&(x|(z|f))))
((x>((z>y)&n))|(n|(z|o)))
1
1
0
0
entailment
(k&u)
(o>u)
1
1
0
0
entailment
~(((m|(~((o&u))|~(y)))&(x|(z|f))))
(o>u)
0
1
1
0
not entailment
(k&u)
((x>((z>y)&n))|(n|(z|o)))
0
0
0
0
not entailment
~(~((y&m)))
(~(((b>m)|(n|z)))>~(~((k>n))))
1
0
0
0
entailment
((~(~(k))|b)&(((o>u)>(z>z))&b))
~(~((y>(b|(y&k)))))
1
1
0
0
entailment
~(~((y&m)))
~(~((y>(b|(y&k)))))
0
0
0
0
not entailment
((~(~(k))|b)&(((o>u)>(z>z))&b))
(~(((b>m)|(n|z)))>~(~((k>n))))
0
1
0
0
not entailment
(k&(k>x))
((f&x)|((x|x)|z))
1
0
0
0
entailment
((((o|u)&m)>((k&(~(b)|m))>(o&n)))>m)
(o>m)
1
1
1
1
entailment
(k&(k>x))
(o>m)
0
1
0
0
not entailment
((((o|u)&m)>((k&(~(b)|m))>(o&n)))>m)
((f&x)|((x|x)|z))
0
1
0
0
not entailment
(((x>y)>k)&m)
(~((~(f)|m))>((x&(z>z))|(k|x)))
1
0
0
0
entailment
((z>(u&z))&~(((k|(m|z))|(z&f))))
(((z&y)>(o|~(k)))&(m>((o|m)>(b|u))))
1
0
0
0
entailment
(((x>y)>k)&m)
(((z&y)>(o|~(k)))&(m>((o|m)>(b|u))))
0
0
0
0
not entailment
((z>(u&z))&~(((k|(m|z))|(z&f))))
(~((~(f)|m))>((x&(z>z))|(k|x)))
0
1
0
0
not entailment
~(o)
((~((b>m))|m)|~((u&o)))
1
0
0
0
entailment
~(~((n&(x|x))))
(~(((k&y)&y))>((n|n)|~((z|m))))
1
0
0
0
entailment
~(o)
(~(((k&y)&y))>((n|n)|~((z|m))))
0
0
0
0
not entailment
~(~((n&(x|x))))
((~((b>m))|m)|~((u&o)))
0
0
0
0
not entailment
(~((n>(m|f)))&~(((x&b)>k)))
(~((f>x))>(n>(~(f)&m)))
1
1
1
0
entailment
(f&n)
~(~((((((z>k)&(n&b))&(x&(m>x)))>f)|o)))
1
0
0
0
entailment
(~((n>(m|f)))&~(((x&b)>k)))
~(~((((((z>k)&(n&b))&(x&(m>x)))>f)|o)))
0
0
0
0
not entailment
(f&n)
(~((f>x))>(n>(~(f)&m)))
0
0
0
0
not entailment
((f&u)&m)
((k>(n|~((f|z))))|u)
1
0
0
0
entailment
~(~(~((o>y))))
((x>(u>n))>~(y))
1
1
0
0
entailment
((f&u)&m)
((x>(u>n))>~(y))
0
0
0
0
not entailment
~(~(~((o>y))))
((k>(n|~((f|z))))|u)
0
0
0
0
not entailment
((y&((x>o)|(y|m)))&((x>b)&o))
((n|~(x))|(y&o))
1
1
0
0
entailment
~((f>(((z&z)|b)>u)))
((f>m)>f)
1
1
0
0
entailment
((y&((x>o)|(y|m)))&((x>b)&o))
((f>m)>f)
0
1
0
0
not entailment
~((f>(((z&z)|b)>u)))
((n|~(x))|(y&o))
0
1
0
0
not entailment
((~(~(k))&((y&(m&f))&(o&(y&u))))&~(z))
((((u|x)|(f>y))|(z>b))>o)
1
1
0
0
entailment
((y|o)>(z&~(z)))
(~(y)|~((~(~((k>~((x>o)))))>(o|u))))
1
0
0
0
entailment
((~(~(k))&((y&(m&f))&(o&(y&u))))&~(z))
(~(y)|~((~(~((k>~((x>o)))))>(o|u))))
0
1
0
0
not entailment
((y|o)>(z&~(z)))
((((u|x)|(f>y))|(z>b))>o)
0
0
0
0
not entailment
~((o>(~(u)>(y>k))))
((y&n)>(u>(n>m)))
1
1
0
0
entailment
(~((~(o)&~(~((b|(y&o))))))&(z&(b&f)))
((((f&z)>z)>b)|~(((x&f)|(~(n)>(f|m)))))
1
1
0
0
entailment
~((o>(~(u)>(y>k))))
((((f&z)>z)>b)|~(((x&f)|(~(n)>(f|m)))))
0
0
0
0
not entailment
(~((~(o)&~(~((b|(y&o))))))&(z&(b&f)))
((y&n)>(u>(n>m)))
0
1
0
0
not entailment
~(((~((b>y))&(x|n))>n))
((~(b)&n)|~(((x>~(b))&((k>b)|(f|k)))))
1
0
0
0
entailment
~((((k>f)&y)>(y&(n>((f>x)&u)))))
~((k&~(f)))
1
1
1
1
entailment
~(((~((b>y))&(x|n))>n))
~((k&~(f)))
0
1
0
0
not entailment
~((((k>f)&y)>(y&(n>((f>x)&u)))))
((~(b)&n)|~(((x>~(b))&((k>b)|(f|k)))))
0
0
0
0
not entailment
(((f|y)|~(f))>z)
(z|((~(n)&(y&f))>(m>x)))
1
0
0
0
entailment
(~((k&u))&m)
~(~((~((((u&o)|m)|n))>(b&o))))
1
0
0
0
entailment
(((f|y)|~(f))>z)
~(~((~((((u&o)|m)|n))>(b&o))))
0
0
0
0
not entailment
(~((k&u))&m)
(z|((~(n)&(y&f))>(m>x)))
0
0
0
0
not entailment
((~(y)>x)&z)
(z|~((~(f)&(b|y))))
1
0
0
0
entailment
(b|b)
(x>b)
1
1
0
0
entailment
((~(y)>x)&z)
(x>b)
0
1
0
0
not entailment
(b|b)
(z|~((~(f)&(b|y))))
0
0
0
0
not entailment
((m>(k&u))&(~((o>z))|(u|(z>o))))
~(~((m>k)))
1
1
1
1
entailment
((k|b)&(f&u))
(u|b)
1
1
1
1
entailment
((m>(k&u))&(~((o>z))|(u|(z>o))))
(u|b)
0
1
0
0
not entailment
((k|b)&(f&u))
~(~((m>k)))
0
1
0
0
not entailment
~(~(~((w>c))))
(((d&~((~(((h|c)&h))&(o&e))))&o)>(y|w))
1
0
0
0
entailment
(h&d)
((d|z)|(o&~((c|d))))
1
0
0
0
entailment
~(~(~((w>c))))
((d|z)|(o&~((c|d))))
0
0
0
0
not entailment
(h&d)
(((d&~((~(((h|c)&h))&(o&e))))&o)>(y|w))
0
0
0
0
not entailment
(e&~((~(c)>((e&z)>(d|(h&(c|o)))))))
((z&(z|~((e>y))))&((d>o)>(z|y)))
1
1
0
0
entailment
(y|d)
(((y&(~(o)|w))|(d|~(z)))|o)
1
0
0
0
entailment
(e&~((~(c)>((e&z)>(d|(h&(c|o)))))))
(((y&(~(o)|w))|(d|~(z)))|o)
0
1
0
0
not entailment
(y|d)
((z&(z|~((e>y))))&((d>o)>(z|y)))
0
0
0
0
not entailment
~(((e&(z>(~(i)>(d&d))))|(e>i)))
(~(i)|(c&(z|z)))
1
1
0
0
entailment
~((c>h))
(~(y)>c)
1
1
0
0
entailment
~(((e&(z>(~(i)>(d&d))))|(e>i)))
(~(y)>c)
0
1
0
0
not entailment
~((c>h))
(~(i)|(c&(z|z)))
0
0
0
0
not entailment
(((d&w)>(~((h|d))|w))>(c&e))
(e|h)
1
1
1
1
entailment
((c&~((c|d)))|(z&z))
((y>~((h>d)))>z)
1
1
0
0
entailment
(((d&w)>(~((h|d))|w))>(c&e))
((y>~((h>d)))>z)
0
1
0
0
not entailment
((c&~((c|d)))|(z&z))
(e|h)
0
1
0
0
not entailment
(~((e|w))&~((e|(h>((d|i)|d)))))
~((((i|~((d&c)))|((z|o)>d))&d))
1
1
0
0
entailment
((((z|(z|y))|((h|z)>y))&(y&z))&((c>w)|c))
((e>c)>y)
1
1
0
0
entailment
(~((e|w))&~((e|(h>((d|i)|d)))))
((e>c)>y)
0
1
0
0
not entailment
((((z|(z|y))|((h|z)>y))&(y&z))&((c>w)|c))
~((((i|~((d&c)))|((z|o)>d))&d))
0
1
0
0
not entailment
(~(((c&h)>i))&((~(c)>(i|(c&(z&y))))>z))
(d>z)
1
1
0
0
entailment
~((e>(o>y)))
((e>(~(z)&((y&d)&~(c))))>((y>w)|d))
1
0
0
0
entailment