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
(b&(u&p))
(b>i)
0
1
0
0
not entailment
~(((n>b)|(~(~((i>p)))>((n&z)|y))))
(~(((i|s)|i))>(b|z))
0
1
0
0
not entailment
((i&s)&y)
(~(~(~(b)))>s)
1
0
0
0
entailment
((e>p)>b)
~(~((e|(b&b))))
1
0
1
1
entailment
((i&s)&y)
~(~((e|(b&b))))
0
0
0
0
not entailment
((e>p)>b)
(~(~(~(b)))>s)
0
0
0
0
not entailment
((e&e)&n)
(((b>~(b))|~(~(e)))>((i|(z&i))|(n|s)))
1
0
0
0
entailment
~(~((p&w)))
~(~(~((~(s)&~(((~(n)&(w|i))|w))))))
1
0
0
0
entailment
((e&e)&n)
~(~(~((~(s)&~(((~(n)&(w|i))|w))))))
0
0
0
0
not entailment
~(~((p&w)))
(((b>~(b))|~(~(e)))>((i|(z&i))|(n|s)))
0
0
0
0
not entailment
((p|u)&(~(y)&(i&~(y))))
(u|~(~(((b|n)|i))))
1
1
0
0
entailment
~(((w&e)>~((~(u)>(w&e)))))
((n|p)|(w|((e&n)|y)))
1
1
0
0
entailment
((p|u)&(~(y)&(i&~(y))))
((n|p)|(w|((e&n)|y)))
0
1
0
0
not entailment
~(((w&e)>~((~(u)>(w&e)))))
(u|~(~(((b|n)|i))))
0
1
0
0
not entailment
~((w&(p>s)))
((w>(z|b))|p)
1
1
0
0
entailment
~(p)
(~(((p&i)>(~(~(z))>y)))>e)
1
0
0
0
entailment
~((w&(p>s)))
(~(((p&i)>(~(~(z))>y)))>e)
0
0
0
0
not entailment
~(p)
((w>(z|b))|p)
0
0
0
0
not entailment
((z|e)&(~((w|e))&~((p&~(~((s&w)))))))
(y|z)
1
1
0
0
entailment
(n&(b|b))
((e|(i|b))|(~((p&b))>u))
1
0
0
0
entailment
((z|e)&(~((w|e))&~((p&~(~((s&w)))))))
((e|(i|b))|(~((p&b))>u))
0
1
0
0
not entailment
(n&(b|b))
(y|z)
0
1
0
0
not entailment
(y&(((n&(n&n))&b)&(~((s>~(w)))&b)))
(~(w)|s)
1
1
1
0
entailment
~(((p&(w&w))>i))
((u&(((b>(s>e))&w)>w))|((u|z)>(~(i)|e)))
1
0
0
0
entailment
(y&(((n&(n&n))&b)&(~((s>~(w)))&b)))
((u&(((b>(s>e))&w)>w))|((u|z)>(~(i)|e)))
0
0
0
0
not entailment
~(((p&(w&w))>i))
(~(w)|s)
0
1
0
0
not entailment
(b&(z>((p&(e|(s|n)))&z)))
(b|(~((p|(u|i)))|(n&n)))
1
1
0
0
entailment
((((w|n)>u)>((n|i)&(y>e)))&(~(n)&(u&z)))
(~((n>p))|(w>i))
1
1
0
0
entailment
(b&(z>((p&(e|(s|n)))&z)))
(~((n>p))|(w>i))
0
1
0
0
not entailment
((((w|n)>u)>((n|i)&(y>e)))&(~(n)&(u&z)))
(b|(~((p|(u|i)))|(n&n)))
0
1
0
0
not entailment
(s&(b&u))
(n>u)
1
1
0
0
entailment
(p&((i>((b&u)|y))&((z&(i&z))>(y&s))))
(((~((p>b))>(s|u))>z)|((e|e)|p))
1
1
0
0
entailment
(s&(b&u))
(((~((p>b))>(s|u))>z)|((e|e)|p))
0
0
0
0
not entailment
(p&((i>((b&u)|y))&((z&(i&z))>(y&s))))
(n>u)
0
1
0
0
not entailment
((z&((u|(b|y))&(y&u)))&y)
((n>~(~((y>(e>p)))))|(p|u))
1
0
0
0
entailment
(i&s)
((s|~((b&b)))|(((y>i)&(n|y))|p))
1
0
0
0
entailment
((z&((u|(b|y))&(y&u)))&y)
((s|~((b&b)))|(((y>i)&(n|y))|p))
0
0
0
0
not entailment
(i&s)
((n>~(~((y>(e>p)))))|(p|u))
0
0
0
0
not entailment
~((~(((e|u)&w))|(p&e)))
((e>w)|(((b|u)>y)>(i|b)))
1
1
0
0
entailment
(u&z)
((b&n)>u)
1
0
0
0
entailment
~((~(((e|u)&w))|(p&e)))
((b&n)>u)
0
1
0
0
not entailment
(u&z)
((e>w)|(((b|u)>y)>(i|b)))
0
0
0
0
not entailment
~(~((~((y|(b|u)))&~((~(i)|e)))))
(i&i)
1
1
1
1
entailment
~(z)
(z>~((~((u&y))|~(~(b)))))
1
0
0
0
entailment
~(~((~((y|(b|u)))&~((~(i)|e)))))
(z>~((~((u&y))|~(~(b)))))
0
1
0
0
not entailment
~(z)
(i&i)
0
1
0
0
not entailment
(~(~(((b&z)&~((e&e)))))&~(((s>s)&n)))
((~((u|n))|e)>~(u))
1
1
0
0
entailment
(p|(p&((p|(z&(e|e)))>s)))
((p>w)>(b>w))
1
1
0
0
entailment
(~(~(((b&z)&~((e&e)))))&~(((s>s)&n)))
((p>w)>(b>w))
0
1
0
0
not entailment
(p|(p&((p|(z&(e|e)))>s)))
((~((u|n))|e)>~(u))
0
1
0
0
not entailment
~(((n>((u|n)&u))|((i>e)|b)))
(~(((w&p)&u))|(z>s))
1
1
0
0
entailment
~(~(w))
((w|b)|(~((p|(p|z)))|w))
1
0
0
0
entailment
~(((n>((u|n)&u))|((i>e)|b)))
((w|b)|(~((p|(p|z)))|w))
0
1
0
0
not entailment
~(~(w))
(~(((w&p)&u))|(z>s))
0
0
0
0
not entailment
((~((e>z))>(n>u))&(s&(p&y)))
(p|y)
1
1
1
1
entailment
~(((n|e)|~(s)))
~(n)
1
1
1
1
entailment
((~((e>z))>(n>u))&(s&(p&y)))
~(n)
0
1
1
1
not entailment
~(((n|e)|~(s)))
(p|y)
0
1
0
0
not entailment
(w&(u&~(((p&y)>~(u)))))
((p>(n>i))|u)
1
1
0
0
entailment
~(((y&i)|~(~((s>((w>e)>((b|e)&w)))))))
((w&((p&e)&(e&e)))|(w>b))
1
1
0
0
entailment
(w&(u&~(((p&y)>~(u)))))
((w&((p&e)&(e&e)))|(w>b))
0
1
0
0
not entailment
~(((y&i)|~(~((s>((w>e)>((b|e)&w)))))))
((p>(n>i))|u)
0
1
0
0
not entailment
(b&i)
(~(b)>((((b>i)>(p&z))>(s>b))|e))
1
0
0
0
entailment
((z|(w|~((b&e))))>s)
(w>(((e&~((z|w)))|(~((z>~(y)))&i))|s))
1
0
0
0
entailment
(b&i)
(w>(((e&~((z|w)))|(~((z>~(y)))&i))|s))
0
0
0
0
not entailment
((z|(w|~((b&e))))>s)
(~(b)>((((b>i)>(p&z))>(s>b))|e))
0
0
0
0
not entailment
(((((j>o)&(o&p))|m)&~((x|p)))&f)
~(~(((x&((m>((m&o)|o))&(e>p)))>z)))
1
0
0
0
entailment
~(~(((j&(p&e))&(m&e))))
((f&x)|(e|e))
1
1
0
0
entailment
(((((j>o)&(o&p))|m)&~((x|p)))&f)
((f&x)|(e|e))
0
1
0
0
not entailment
~(~(((j&(p&e))&(m&e))))
~(~(((x&((m>((m&o)|o))&(e>p)))>z)))
0
0
0
0
not entailment
~((~(m)&p))
(((o>o)>(~(x)>e))|(p>m))
1
0
0
0
entailment
((((f&z)&(m>f))&p)&(z>o))
(~((j|(e>z)))>~(((z&p)>((e|e)>e))))
1
0
0
0
entailment
~((~(m)&p))
(~((j|(e>z)))>~(((z&p)>((e|e)>e))))
0
0
0
0
not entailment
((((f&z)&(m>f))&p)&(z>o))
(((o>o)>(~(x)>e))|(p>m))
0
1
0
0
not entailment
~(((j&o)>((f>p)>~(e))))
(~((j>m))|(~(m)|(e&j)))
1
1
0
0
entailment
~((~(j)>(x>f)))
~(((z|~(f))&f))
1
1
0
0
entailment
~(((j&o)>((f>p)>~(e))))
~(((z|~(f))&f))
0
1
0
0
not entailment
~((~(j)>(x>f)))
(~((j>m))|(~(m)|(e&j)))
0
0
0
0
not entailment
(~(((f&(f&p))>(e>m)))&((p|j)>((j&o)|o)))
(j>e)
1
1
1
1
entailment
((~(f)>(m|((p|z)|m)))&x)
(f>x)
1
1
1
0
entailment
(~(((f&(f&p))>(e>m)))&((p|j)>((j&o)|o)))
(f>x)
0
1
0
0
not entailment
((~(f)>(m|((p|z)|m)))&x)
(j>e)
0
1
0
0
not entailment
~((x>(m|z)))
((~((~(x)>p))&((z>~(m))>(e|x)))>p)
1
0
0
0
entailment
~((~(~(o))>(((m|~((x>o)))>x)>x)))
((~(p)|o)|~(~(~(j))))
1
1
0
0
entailment
~((x>(m|z)))
((~(p)|o)|~(~(~(j))))
0
0
0
0
not entailment
~((~(~(o))>(((m|~((x>o)))>x)>x)))
((~((~(x)>p))&((z>~(m))>(e|x)))>p)
0
1
0
0
not entailment
~(((p>((f>e)&~(e)))|f))
~((~(e)&f))
1
1
1
1
entailment
~((((~(o)|j)|j)>(z>((p|(o&j))|(z>p)))))
((j>f)>(z|(z|(m&e))))
1
1
0
0
entailment
~(((p>((f>e)&~(e)))|f))
((j>f)>(z|(z|(m&e))))
0
1
0
0
not entailment
~((((~(o)|j)|j)>(z>((p|(o&j))|(z>p)))))
~((~(e)&f))
0
1
0
0
not entailment
~(((f&(z|f))>(p>~((z>(x>~(z)))))))
(f|(x|x))
1
1
1
0
entailment
~(~(~((((o|e)>(z|e))|e))))
~((((z>e)|x)&(e&x)))
1
1
0
0
entailment
~(((f&(z|f))>(p>~((z>(x>~(z)))))))
~((((z>e)|x)&(e&x)))
0
1
0
0
not entailment
~(~(~((((o|e)>(z|e))|e))))
(f|(x|x))
0
1
0
0
not entailment
(~((o|(o&(p|j))))&(p&p))
((j>(m|p))|((e&j)|((o|m)&((p|e)>z))))
1
0
0
0
entailment
(~((j>(z>m)))&(o>(x>m)))
(~(~((~(p)|z)))|((m&~(j))&p))
1
0
0
0
entailment
(~((o|(o&(p|j))))&(p&p))
(~(~((~(p)|z)))|((m&~(j))&p))
0
0
0
0
not entailment
(~((j>(z>m)))&(o>(x>m)))
((j>(m|p))|((e&j)|((o|m)&((p|e)>z))))
0
0
0
0
not entailment
(z&~(j))
~(((j|(m&j))&z))
1
0
0
0
entailment
~(((~(~((~((x|f))&p)))>((f&e)>f))>o))
((z&x)>((x|(~(m)&j))&((o&m)>j)))
1
1
0
0
entailment