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>(e>e))|b)>~(z))>f)
(f|(~((b|z))>(b&(b|b))))
1
1
1
1
entailment
~(((z&z)|(e>(e>~(e)))))
(f|(~((b|z))>(b&(b|b))))
0
1
0
0
not entailment
((((b>(e>e))|b)>~(z))>f)
((b|s)|~(z))
0
1
0
0
not entailment
~(~(((b&z)&f)))
(((f|(e&(b&~(b))))|z)|(e&~(~((s|z)))))
1
0
0
0
entailment
(~(z)|s)
((~((z>b))|(~(z)>s))>(s|(e|s)))
1
0
0
0
entailment
~(~(((b&z)&f)))
((~((z>b))|(~(z)>s))>(s|(e|s)))
0
0
0
0
not entailment
(~(z)|s)
(((f|(e&(b&~(b))))|z)|(e&~(~((s|z)))))
0
0
0
0
not entailment
((f|(b&f))&b)
((~(~(b))|~(e))&(f&f))
1
0
0
0
entailment
(e&(((b|~((b|z)))|s)>~((s>(s|(e>b))))))
~(~((s|e)))
1
1
1
1
entailment
((f|(b&f))&b)
~(~((s|e)))
0
1
0
0
not entailment
(e&(((b|~((b|z)))|s)>~((s>(s|(e>b))))))
((~(~(b))|~(e))&(f&f))
0
1
0
0
not entailment
~((z|~((~(~((b>~(((f>z)>z)))))&f))))
(s>f)
1
1
0
0
entailment
((z&f)|(((s|~(s))>(z&e))|~((f|(e|f)))))
((~(~((s&b)))|(f>z))|e)
1
1
0
0
entailment
~((z|~((~(~((b>~(((f>z)>z)))))&f))))
((~(~((s&b)))|(f>z))|e)
0
1
0
0
not entailment
((z&f)|(((s|~(s))>(z&e))|~((f|(e|f)))))
(s>f)
0
1
1
1
not entailment
~(~((f&e)))
~(((~(f)&~(((e|b)>f)))&~(e)))
1
0
0
0
entailment
~(f)
~((f&(f|e)))
1
0
0
0
entailment
~(~((f&e)))
~((f&(f|e)))
0
1
1
0
not entailment
~(f)
~(((~(f)&~(((e|b)>f)))&~(e)))
0
0
0
0
not entailment
(e&~(~(((~(~(e))>f)>f))))
(e|z)
1
1
0
0
entailment
(s&s)
((f>z)>s)
1
0
0
0
entailment
(e&~(~(((~(~(e))>f)>f))))
((f>z)>s)
0
1
0
0
not entailment
(s&s)
(e|z)
0
1
0
0
not entailment
(z&s)
((z&b)|((s>(z&f))|z))
1
0
0
0
entailment
(f&(e>(((f&z)>e)&z)))
(z>(f|e))
1
1
1
1
entailment
(z&s)
(z>(f|e))
0
0
0
0
not entailment
(f&(e>(((f&z)>e)&z)))
((z&b)|((s>(z&f))|z))
0
1
0
0
not entailment
~(~(e))
(e|(~(s)>f))
1
0
0
0
entailment
(((f&(s>s))>(f|(e>f)))>~(~(((z>f)&b))))
((z>s)|b)
1
1
1
1
entailment
~(~(e))
((z>s)|b)
0
1
0
0
not entailment
(((f&(s>s))>(f|(e>f)))>~(~(((z>f)&b))))
(e|(~(s)>f))
0
1
1
1
not entailment
(e|e)
(~(~(((~((e>f))|f)|f)))|(s|f))
1
0
0
0
entailment
(((((e|f)&e)|~(z))>(z>f))&(((s>b)&b)&z))
~(~((b&z)))
1
1
1
1
entailment
(e|e)
~(~((b&z)))
0
0
0
0
not entailment
(((((e|f)&e)|~(z))>(z>f))&(((s>b)&b)&z))
(~(~(((~((e>f))|f)|f)))|(s|f))
0
1
1
0
not entailment
(s&(e&(f&z)))
((b>b)&((z&(~(s)>(b|(z|b))))&((s>e)|b)))
1
0
0
0
entailment
(~((((e>(f>e))|((e&z)|s))>e))&(b>f))
~(e)
1
1
1
1
entailment
(s&(e&(f&z)))
~(e)
0
1
1
0
not entailment
(~((((e>(f>e))|((e&z)|s))>e))&(b>f))
((b>b)&((z&(~(s)>(b|(z|b))))&((s>e)|b)))
0
0
1
0
not entailment
~(~((~(z)&f)))
~(~((~(s)|f)))
1
1
0
0
entailment
((f|b)&s)
(s&(s&s))
1
1
1
1
entailment
~(~((~(z)&f)))
(s&(s&s))
0
1
0
0
not entailment
((f|b)&s)
~(~((~(s)|f)))
0
0
1
0
not entailment
~((f>s))
(~(b)>(s|f))
1
0
0
0
entailment
((e>f)&z)
(~((s|(f|~((((b>f)|b)|f)))))|(~(e)|z))
1
0
0
0
entailment
~((f>s))
(~((s|(f|~((((b>f)|b)|f)))))|(~(e)|z))
0
0
0
0
not entailment
((e>f)&z)
(~(b)>(s|f))
0
0
0
0
not entailment
(s&((f|s)|s))
(~((s|(b|(b>e))))|((s&f)|(~(s)>s)))
1
0
0
0
entailment
~(((b&z)>(((z&(b>e))|(e|e))>f)))
(((f&b)|((~(b)>(z>b))|(s&f)))|e)
1
1
0
0
entailment
(s&((f|s)|s))
(((f&b)|((~(b)>(z>b))|(s&f)))|e)
0
0
0
0
not entailment
~(((b&z)>(((z&(b>e))|(e|e))>f)))
(~((s|(b|(b>e))))|((s&f)|(~(s)>s)))
0
0
0
0
not entailment
(l&((t>x)>~(((x&(x|l))>l))))
(l|t)
1
1
1
1
entailment
(x&p)
(p&~(((t>~((t|~(t))))&(t|t))))
1
0
0
0
entailment
(l&((t>x)>~(((x&(x|l))>l))))
(p&~(((t>~((t|~(t))))&(t|t))))
0
0
0
0
not entailment
(x&p)
(l|t)
0
1
0
0
not entailment
(~(t)&(~(p)|(p&~((p|x)))))
~((~((t>((x&p)|~(l))))&(((t|l)|l)>p)))
1
0
0
0
entailment
(p&~(~((x>p))))
((p|t)|((x&t)|~(~((t|x)))))
1
0
0
0
entailment
(~(t)&(~(p)|(p&~((p|x)))))
((p|t)|((x&t)|~(~((t|x)))))
0
1
1
0
not entailment
(p&~(~((x>p))))
~((~((t>((x&p)|~(l))))&(((t|l)|l)>p)))
0
0
0
0
not entailment
~(p)
(((p>l)|x)|l)
1
0
0
0
entailment
((t>(x&((l&l)>t)))>~((x>(p>((x&t)>x)))))
(((x|l)|(t&t))|t)
1
1
1
1
entailment
~(p)
(((x|l)|(t&t))|t)
0
0
0
0
not entailment
((t>(x&((l&l)>t)))>~((x>(p>((x&t)>x)))))
(((p>l)|x)|l)
0
1
1
0
not entailment
((t&x)&p)
(x>(p&p))
1
1
1
0
entailment
~((t|(x&((l>((l|t)|x))&((l>p)>(l&t))))))
(l|~(t))
1
1
1
1
entailment
((t&x)&p)
(l|~(t))
0
1
0
0
not entailment
~((t|(x&((l>((l|t)|x))&((l>p)>(l&t))))))
(x>(p&p))
0
1
1
1
not entailment
(((t|t)|(~(x)|x))&t)
(((l>p)>((p|t)|l))&(x>x))
1
0
0
0
entailment
(((x&(l&p))>~(p))&x)
(p>(p&x))
1
1
1
0
entailment
(((t|t)|(~(x)|x))&t)
(p>(p&x))
0
1
0
0
not entailment
(((x&(l&p))>~(p))&x)
(((l>p)>((p|t)|l))&(x>x))
0
0
0
0
not entailment
((l>x)&(((t>l)&(x|x))&(l&p)))
(((t|x)>x)&p)
1
1
1
0
entailment
~(~(~((t|(l|x)))))
(p>(~((p&(t&p)))&((l>l)>p)))
1
0
0
0
entailment
((l>x)&(((t>l)&(x|x))&(l&p)))
(p>(~((p&(t&p)))&((l>l)>p)))
0
1
1
0
not entailment
~(~(~((t|(l|x)))))
(((t|x)>x)&p)
0
1
0
0
not entailment
(l&~((t>~(~(((~(x)>l)&x))))))
((l|t)|(~((l|(t&t)))>~((x|~(x)))))
1
0
1
0
entailment
(p|(x&t))
(x|p)
1
1
1
1
entailment
(l&~((t>~(~(((~(x)>l)&x))))))
(x|p)
0
1
0
0
not entailment
(p|(x&t))
((l|t)|(~((l|(t&t)))>~((x|~(x)))))
0
0
0
0
not entailment
(l&((t|~(t))>~((p>x))))
(((((l>p)|~((l|(x&t))))>l)|(t|p))&l)
1
0
1
0
entailment
((t&(t&(x|p)))&x)
(((x|p)|((x|(t&l))>p))>((l&(l&x))|x))
1
0
0
0
entailment
(l&((t|~(t))>~((p>x))))
(((x|p)|((x|(t&l))>p))>((l&(l&x))|x))
0
0
1
0
not entailment
((t&(t&(x|p)))&x)
(((((l>p)|~((l|(x&t))))>l)|(t|p))&l)
0
0
0
0
not entailment
~((x>~(p)))
(((l&t)>(p&~(x)))>((l|l)>x))
1
0
0
0
entailment
~(((x|p)|t))
~((~(t)>t))
1
1
1
1
entailment
~((x>~(p)))
~((~(t)>t))
0
1
0
0
not entailment
~(((x|p)|t))
(((l&t)>(p&~(x)))>((l|l)>x))
0
0
0
0
not entailment
(((l&(x>x))&p)&(~(t)>l))
~((p>(~(((t>x)&p))&(~(p)&(t&~(x))))))
1
0
1
0
entailment
((~(t)|p)>((t>p)&~((p>p))))
~((t&((x&p)&p)))
1
1
0
0
entailment
(((l&(x>x))&p)&(~(t)>l))
~((t&((x&p)&p)))
0
1
1
0
not entailment
((~(t)|p)>((t>p)&~((p>p))))
~((p>(~(((t>x)&p))&(~(p)&(t&~(x))))))
0
0
0
0
not entailment
~(((x&(~(~(t))>x))>((t&t)|~(l))))
(~(~(l))|(((l&t)>l)>p))
1
1
0
0
entailment
((((p&x)|(l>l))|p)&t)
~(~(t))
1
1
1
1
entailment
~(((x&(~(~(t))>x))>((t&t)|~(l))))
~(~(t))
0
1
1
0
not entailment
((((p&x)|(l>l))|p)&t)
(~(~(l))|(((l&t)>l)>p))
0
0
1
1
not entailment
~((~(~((~((l>p))>x)))|~(l)))
((~(((t&l)|((t>p)&t)))&(x&~(x)))|l)
1
0
0
0
entailment
((~(l)|x)|(t&l))
(((l&l)&~(x))>t)
1
1
1
1
entailment
~((~(~((~((l>p))>x)))|~(l)))
(((l&l)&~(x))>t)
0
1
0
0
not entailment
((~(l)|x)|(t&l))
((~(((t&l)|((t>p)&t)))&(x&~(x)))|l)
0
0
0
0
not entailment
(t&(((~(l)>t)>(x>x))>l))
(((l|x)|((~(t)|x)>t))>(p>t))
1
0
0
0
entailment