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
((v&n)&r)
((v|s)|~(~((~(u)|s))))
1
0
0
0
entailment
~(((~(s)>(r>s))>(s|v)))
~((u&s))
1
1
0
0
entailment
((v&n)&r)
~((u&s))
0
1
0
0
not entailment
~(((~(s)>(r>s))>(s|v)))
((v|s)|~(~((~(u)|s))))
0
1
0
0
not entailment
(n>~((v>s)))
(~((v|(n>((u&(u>n))>v))))>(~(v)&v))
1
0
0
0
entailment
(~(r)&(((r&r)|(~(r)&((s|r)&n)))|~(n)))
(((r|v)>(n|(v|s)))|((v|r)&(u>n)))
1
1
0
0
entailment
(n>~((v>s)))
(((r|v)>(n|(v|s)))|((v|r)&(u>n)))
0
0
0
0
not entailment
(~(r)&(((r&r)|(~(r)&((s|r)&n)))|~(n)))
(~((v|(n>((u&(u>n))>v))))>(~(v)&v))
0
1
0
0
not entailment
~((n>u))
((~(~((r>v)))|n)&(u>r))
1
0
0
0
entailment
~((n>~((n>(u|u)))))
(((r|r)|u)|~(~((s|(r|s)))))
1
0
0
0
entailment
~((n>u))
(((r|r)|u)|~(~((s|(r|s)))))
0
0
0
0
not entailment
~((n>~((n>(u|u)))))
((~(~((r>v)))|n)&(u>r))
0
0
0
0
not entailment
((((s|s)|v)>n)&s)
((s>u)>n)
1
1
0
0
entailment
(~(u)>(v&u))
((u>s)>(v>u))
1
1
0
0
entailment
((((s|s)|v)>n)&s)
((u>s)>(v>u))
0
1
0
0
not entailment
(~(u)>(v&u))
((s>u)>n)
0
1
0
0
not entailment
(~((~(n)&r))&((v&u)&s))
(((r>u)|(v|(n|n)))|(u&v))
1
1
1
1
entailment
~((~(s)>s))
(s>~(v))
1
1
0
0
entailment
(~((~(n)&r))&((v&u)&s))
(s>~(v))
0
1
1
0
not entailment
~((~(s)>s))
(((r>u)|(v|(n|n)))|(u&v))
0
0
0
0
not entailment
((s&n)|(r&(s&((r>n)|n))))
((~(s)>((~(n)&v)&s))|(u|~((n|~(v)))))
1
0
0
0
entailment
~((((r>u)&v)>s))
~(s)
1
1
1
1
entailment
((s&n)|(r&(s&((r>n)|n))))
~(s)
0
1
1
0
not entailment
~((((r>u)&v)>s))
((~(s)>((~(n)&v)&s))|(u|~((n|~(v)))))
0
0
0
0
not entailment
((u&s)&(~(((u|n)|r))|((v|u)&u)))
(s|(n|n))
1
1
1
0
entailment
~(~(~(~(((r>r)>~((v>n)))))))
(((n&(r&v))>~(u))&((r&(s>r))|(s|v)))
1
0
0
0
entailment
((u&s)&(~(((u|n)|r))|((v|u)&u)))
(((n&(r&v))>~(u))&((r&(s>r))|(s|v)))
0
0
1
0
not entailment
~(~(~(~(((r>r)>~((v>n)))))))
(s|(n|n))
0
1
0
0
not entailment
(~((r>u))&(r&~(((n>r)&n))))
(((((v|r)|n)>(s&~(n)))&(s|(u&u)))|r)
1
0
0
0
entailment
~(s)
~(((s|s)&(u>s)))
1
0
0
0
entailment
(~((r>u))&(r&~(((n>r)&n))))
~(((s|s)&(u>s)))
0
1
0
0
not entailment
~(s)
(((((v|r)|n)>(s&~(n)))&(s|(u&u)))|r)
0
0
0
0
not entailment
(((s&(r>u))|u)&(s&n))
~((((~(~(u))>v)>(s|(v|s)))>~(s)))
1
0
0
0
entailment
~((((r|v)>r)|(s|(n|r))))
((r>((s|v)&(r>v)))&~(~(~(s))))
1
0
1
0
entailment
(((s&(r>u))|u)&(s&n))
((r>((s|v)&(r>v)))&~(~(~(s))))
0
0
0
0
not entailment
~((((r|v)>r)|(s|(n|r))))
~((((~(~(u))>v)>(s|(v|s)))>~(s)))
0
0
0
0
not entailment
~(((s>n)|r))
~(((n&r)|(r&(u>s))))
1
0
0
0
entailment
(s>~(s))
~((s&~(((v>r)&((r>r)&(n&~(~(s))))))))
1
0
0
0
entailment
~(((s>n)|r))
~((s&~(((v>r)&((r>r)&(n&~(~(s))))))))
0
0
0
0
not entailment
(s>~(s))
~(((n&r)|(r&(u>s))))
0
0
0
0
not entailment
~((b&(((w>t)>u)|(w>x))))
~((b&x))
1
1
1
1
entailment
~(((h>((b&u)&(f&t)))>(f|((b>t)>w))))
((h>(f&h))|p)
1
1
0
0
entailment
~((b&(((w>t)>u)|(w>x))))
((h>(f&h))|p)
0
1
0
0
not entailment
~(((h>((b&u)&(f&t)))>(f|((b>t)>w))))
~((b&x))
0
1
0
0
not entailment
(((t&w)|~((x&f)))&~((~(w)>b)))
(w>x)
1
1
1
0
entailment
~(~((~((((w&(u|b))|h)>h))|(p&(h&w)))))
((w|~(t))|~(f))
1
1
0
0
entailment
(((t&w)|~((x&f)))&~((~(w)>b)))
((w|~(t))|~(f))
0
1
1
0
not entailment
~(~((~((((w&(u|b))|h)>h))|(p&(h&w)))))
(w>x)
0
1
0
0
not entailment
(~((b>w))&(h&p))
(b|(w>p))
1
1
1
1
entailment
(h&t)
(p>((x&h)>(~(t)>(((w|f)&x)&p))))
1
0
0
0
entailment
(~((b>w))&(h&p))
(p>((x&h)>(~(t)>(((w|f)&x)&p))))
0
0
0
0
not entailment
(h&t)
(b|(w>p))
0
0
0
0
not entailment
~((u>((x|w)|(((p>(f>t))|p)>p))))
(t|((b|f)|(b|u)))
1
1
0
0
entailment
(~(~((h|h)))&(~(~((b&(w|(b&f)))))>f))
(((h|w)|u)>(h&h))
1
1
0
0
entailment
~((u>((x|w)|(((p>(f>t))|p)>p))))
(((h|w)|u)>(h&h))
0
1
0
0
not entailment
(~(~((h|h)))&(~(~((b&(w|(b&f)))))>f))
(t|((b|f)|(b|u)))
0
1
0
0
not entailment
(~(~(x))&(~((u>((u&u)|t)))|p))
((w>p)|(t|b))
1
1
0
0
entailment
(u&~(((h|x)&(((w&w)>w)|h))))
(((u&w)&x)>(~(u)&t))
1
1
0
0
entailment
(~(~(x))&(~((u>((u&u)|t)))|p))
(((u&w)&x)>(~(u)&t))
0
1
0
0
not entailment
(u&~(((h|x)&(((w&w)>w)|h))))
((w>p)|(t|b))
0
1
0
0
not entailment
~(((p|((t>(x&(b|w)))&p))|w))
(((h&w)|w)>((f|(b&h))>(h>x)))
1
1
0
0
entailment
~((~(~(h))>~(~((f|(t>u))))))
(u>(f|p))
1
1
0
0
entailment
~(((p|((t>(x&(b|w)))&p))|w))
(u>(f|p))
0
1
0
0
not entailment
~((~(~(h))>~(~((f|(t>u))))))
(((h&w)|w)>((f|(b&h))>(h>x)))
0
1
0
0
not entailment
(t&(((t|h)&f)&p))
((x&w)>p)
1
1
0
0
entailment
(~(~((w|~(w))))&~((h>u)))
(((p|(x>u))>(x>(~(t)&(u&w))))|~(u))
1
0
0
0
entailment
(t&(((t|h)&f)&p))
(((p|(x>u))>(x>(~(t)&(u&w))))|~(u))
0
0
0
0
not entailment
(~(~((w|~(w))))&~((h>u)))
((x&w)>p)
0
1
0
0
not entailment
(f|b)
(p>((b&((x>h)>p))|(u|f)))
1
0
0
0
entailment
(((((u>t)&f)>t)>h)&t)
(((u|f)>~((b|(u&u))))|t)
1
0
0
0
entailment
(f|b)
(((u|f)>~((b|(u&u))))|t)
0
0
0
0
not entailment
(((((u>t)&f)>t)>h)&t)
(p>((b&((x>h)>p))|(u|f)))
0
0
0
0
not entailment
((x&x)&u)
(((b>x)&h)|(t>(h|u)))
1
0
0
0
entailment
((~((f&(f>w)))>(t>(u|(b|p))))>(p&w))
(((((p&x)>p)|p)|((u>f)>w))>(u>p))
1
1
0
0
entailment
((x&x)&u)
(((((p&x)>p)|p)|((u>f)>w))>(u>p))
0
0
0
0
not entailment
((~((f&(f>w)))>(t>(u|(b|p))))>(p&w))
(((b>x)&h)|(t>(h|u)))
0
1
0
0
not entailment
((u&((t&(~(b)>p))|~((x>w))))&h)
(t>u)
1
1
1
0
entailment
~((~(~(b))>(x&w)))
(b|(t&p))
1
1
0
0
entailment
((u&((t&(~(b)>p))|~((x>w))))&h)
(b|(t&p))
0
1
1
1
not entailment
~((~(~(b))>(x&w)))
(t>u)
0
1
0
0
not entailment
((u&~((t|(x>p))))&(((t&h)|u)|~(~(p))))
(~((~(f)>b))>~(~(~((x>t)))))
1
1
0
0
entailment
(~((t|b))>t)
~(~((~(((f&p)|(t|b)))>((b|x)&f))))
1
0
0
0
entailment
((u&~((t|(x>p))))&(((t&h)|u)|~(~(p))))
~(~((~(((f&p)|(t|b)))>((b|x)&f))))
0
1
0
0
not entailment
(~((t|b))>t)
(~((~(f)>b))>~(~(~((x>t)))))
0
0
0
0
not entailment
(((b&u)&b)&p)
((w>(p&u))|(((t>~(b))|(p>(t|b)))>h))
1
0
0
0
entailment
(((~((h>(((t|b)>(p>t))&(b&b))))|w)>u)&x)
(x|(x|~(h)))
1
1
1
1
entailment
(((b&u)&b)&p)
(x|(x|~(h)))
0
1
0
0
not entailment
(((~((h>(((t|b)>(p>t))&(b&b))))|w)>u)&x)
((w>(p&u))|(((t>~(b))|(p>(t|b)))>h))
0
1
1
0
not entailment
~((~((~((b|(b|b)))>u))>~(~((p|f)))))
((((u>t)>(h|p))>p)|(~(h)|((x&f)>t)))
1
1
0
0
entailment
(((b&t)>(u|~(w)))&(u|u))
(~((t>u))>u)
1
1
1
1
entailment
~((~((~((b|(b|b)))>u))>~(~((p|f)))))
(~((t>u))>u)
0
1
0
0
not entailment
(((b&t)>(u|~(w)))&(u|u))
((((u>t)>(h|p))>p)|(~(h)|((x&f)>t)))
0
0
0
0
not entailment
(~((w>(u>b)))&~(h))
~((~((((x>(h&t))&x)|(u&(t>p))))&b))
1
0
0
0
entailment
((f|u)&(x|(w&x)))
(((p&~(w))|x)|~(u))
1
0
0
0
entailment
(~((w>(u>b)))&~(h))
(((p&~(w))|x)|~(u))
0
1
0
0
not entailment
((f|u)&(x|(w&x)))
~((~((((x>(h&t))&x)|(u&(t>p))))&b))
0
0
0
0
not entailment
(~((f|(h&f)))>((((~(u)>f)>f)&h)&(f&w)))
((b|u)|f)
1
1
0
0
entailment
(t&~(~(x)))
(((f>x)|h)|(p>b))
1
0
0
0
entailment
(~((f|(h&f)))>((((~(u)>f)>f)&h)&(f&w)))
(((f>x)|h)|(p>b))
0
1
0
0
not entailment
(t&~(~(x)))
((b|u)|f)
0
1
0
0
not entailment