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
(r&(o&~((u|f))))
((a>a)>(p|(o|i)))
1
1
0
0
entailment
~((((a>p)>(f>n))&n))
~(((~(f)|o)&(((h>h)>i)&n)))
1
0
0
0
entailment
(r&(o&~((u|f))))
~(((~(f)|o)&(((h>h)>i)&n)))
0
0
0
0
not entailment
~((((a>p)>(f>n))&n))
((a>a)>(p|(o|i)))
0
1
0
0
not entailment
~(((i|(n|~((u>o))))>(o|(r>(r>i)))))
((n|p)>(i>(~((n>o))>~(i))))
1
1
0
0
entailment
~((u>r))
(f|u)
1
1
0
0
entailment
~(((i|(n|~((u>o))))>(o|(r>(r>i)))))
(f|u)
0
1
0
0
not entailment
~((u>r))
((n|p)>(i>(~((n>o))>~(i))))
0
0
0
0
not entailment
((f&u)|o)
((~((i|f))>(h|o))|(r>f))
1
0
0
0
entailment
((((i>h)&o)>(p>u))>p)
((p|r)>(h>(p|~(o))))
1
1
0
0
entailment
((f&u)|o)
((p|r)>(h>(p|~(o))))
0
0
0
0
not entailment
((((i>h)&o)>(p>u))>p)
((~((i|f))>(h|o))|(r>f))
0
0
0
0
not entailment
(~((n|~((r&i))))|~((f>(~(u)>~(f)))))
(((u|a)|r)>((h|(~((u|r))>f))&(~(r)>a)))
1
1
0
0
entailment
((n&u)&(a>(n>h)))
(((f|(u>i))>(r|n))|n)
1
0
0
0
entailment
(~((n|~((r&i))))|~((f>(~(u)>~(f)))))
(((f|(u>i))>(r|n))|n)
0
1
1
0
not entailment
((n&u)&(a>(n>h)))
(((u|a)|r)>((h|(~((u|r))>f))&(~(r)>a)))
0
0
0
0
not entailment
(~(~((~((n>f))>h)))&~((a>(n>(a&o)))))
(((o&n)&(r|r))>((a&i)>u))
1
1
0
0
entailment
~((((u&f)|((((o>n)>~((h|n)))|o)|n))&u))
(((~(r)|n)&(u&(r&r)))>p)
1
1
0
0
entailment
(~(~((~((n>f))>h)))&~((a>(n>(a&o)))))
(((~(r)|n)&(u&(r&r)))>p)
0
1
0
0
not entailment
~((((u&f)|((((o>n)>~((h|n)))|o)|n))&u))
(((o&n)&(r|r))>((a&i)>u))
0
1
0
0
not entailment
(((o|i)|p)&(r&p))
(((n|p)&o)|p)
1
1
0
0
entailment
~(f)
(n|(f>h))
1
0
0
0
entailment
(((o|i)|p)&(r&p))
(n|(f>h))
0
1
0
0
not entailment
~(f)
(((n|p)&o)|p)
0
0
0
0
not entailment
~(~((p&(u&(~((((h|u)>u)>(a&r)))&h)))))
((~(o)|p)|((i|(a>o))&(h|u)))
1
1
0
0
entailment
(~(~(f))&a)
(~(a)>~((i&((r&r)|(n>r)))))
1
0
0
0
entailment
~(~((p&(u&(~((((h|u)>u)>(a&r)))&h)))))
(~(a)>~((i&((r&r)|(n>r)))))
0
1
0
0
not entailment
(~(~(f))&a)
((~(o)|p)|((i|(a>o))&(h|u)))
0
0
0
0
not entailment
((~(~(u))|(f>r))>f)
(n>f)
1
1
0
0
entailment
(u&o)
(~((~(p)>(o|n)))>~((a|(~(f)>(p&p)))))
1
0
0
0
entailment
((~(~(u))|(f>r))>f)
(~((~(p)>(o|n)))>~((a|(~(f)>(p&p)))))
0
0
0
0
not entailment
(u&o)
(n>f)
0
1
0
0
not entailment
(i&(f&n))
((f|(u&p))&(~((a|r))>~(a)))
1
0
0
0
entailment
((o&n)&(a&(o|((~((u&n))&p)&(n>o)))))
(f>a)
1
1
0
0
entailment
(i&(f&n))
(f>a)
0
1
0
0
not entailment
((o&n)&(a&(o|((~((u&n))&p)&(n>o)))))
((f|(u&p))&(~((a|r))>~(a)))
0
1
0
0
not entailment
((~(p)&(~(a)&o))&(~(n)&h))
((((a|n)>p)>(~((u|n))>h))|(a&n))
1
0
0
0
entailment
~((f>~(p)))
(((a|n)&p)|(u|p))
1
0
0
0
entailment
((~(p)&(~(a)&o))&(~(n)&h))
(((a|n)&p)|(u|p))
0
1
0
0
not entailment
~((f>~(p)))
((((a|n)>p)>(~((u|n))>h))|(a&n))
0
0
0
0
not entailment
((o&(n>o))&h)
~(~((((n&p)>(((o|((f>a)&i))|f)>o))|a)))
1
0
0
0
entailment
(i&~(((n|n)>r)))
(((a>~(f))>p)>(r>u))
1
0
0
0
entailment
((o&(n>o))&h)
(((a>~(f))>p)>(r>u))
0
0
0
0
not entailment
(i&~(((n|n)>r)))
~(~((((n&p)>(((o|((f>a)&i))|f)>o))|a)))
0
0
0
0
not entailment
~((~(o)>o))
~(~(((f|o)>f)))
1
0
0
0
entailment
(p&~(~(o)))
(r|(~(u)|p))
1
1
0
0
entailment
~((~(o)>o))
(r|(~(u)|p))
0
1
0
0
not entailment
(p&~(~(o)))
~(~(((f|o)>f)))
0
0
0
0
not entailment
((~(((n&h)>n))|~((f>u)))&~(~((a>h))))
(o|(u>p))
1
1
0
0
entailment
((h&u)&~(i))
(i|h)
1
1
1
0
entailment
((~(((n&h)>n))|~((f>u)))&~(~((a>h))))
(i|h)
0
1
0
0
not entailment
((h&u)&~(i))
(o|(u>p))
0
1
0
0
not entailment
((i&i)&((o|o)>~(((i>(o&n))|p))))
((n|n)|((~(n)&o)|~(~((i|(h&n))))))
1
0
0
0
entailment
~(((r&r)>a))
(~((~(a)|f))>(~(((p|~(u))|a))&p))
1
0
0
0
entailment
((i&i)&((o|o)>~(((i>(o&n))|p))))
(~((~(a)|f))>(~(((p|~(u))|a))&p))
0
0
0
0
not entailment
~(((r&r)>a))
((n|n)|((~(n)&o)|~(~((i|(h&n))))))
0
0
0
0
not entailment
((r&((h&(h>l))&(l|(v>q))))&~(v))
~(~((((q|r)>(l>h))|d)))
1
1
0
0
entailment
(v&v)
(((l&m)&d)|~(~((v|(q>d)))))
1
0
0
0
entailment
((r&((h&(h>l))&(l|(v>q))))&~(v))
(((l&m)&d)|~(~((v|(q>d)))))
0
1
0
0
not entailment
(v&v)
~(~((((q|r)>(l>h))|d)))
0
0
0
0
not entailment
~((v>((v&q)|q)))
((((t|v)|r)&(q>r))|~(t))
1
0
0
0
entailment
~(~(t))
(((v|l)>t)|m)
1
0
0
0
entailment
~((v>((v&q)|q)))
(((v|l)>t)|m)
0
1
0
0
not entailment
~(~(t))
((((t|v)|r)&(q>r))|~(t))
0
0
0
0
not entailment
((~((d|h))>((d|(v|r))&(t|(v>m))))&r)
((l|t)>(r|r))
1
1
0
0
entailment
(v>(v>l))
((m&q)>((v>l)|l))
1
0
0
0
entailment
((~((d|h))>((d|(v|r))&(t|(v>m))))&r)
((m&q)>((v>l)|l))
0
1
0
0
not entailment
(v>(v>l))
((l|t)>(r|r))
0
0
0
0
not entailment
(((r&d)&(h&~(q)))&(~(d)>v))
(~((v&(m|(r&v))))>r)
1
1
0
0
entailment
((r|l)&((d|(v|r))&q))
(t>((t|(r>v))&q))
1
1
0
0
entailment
(((r&d)&(h&~(q)))&(~(d)>v))
(t>((t|(r>v))&q))
0
1
0
0
not entailment
((r|l)&((d|(v|r))&q))
(~((v&(m|(r&v))))>r)
0
1
0
0
not entailment
(((d>l)|(q&(v|r)))>((~(h)|l)>r))
(l>~(~((l&(q|r)))))
1
1
1
0
entailment
(t&~((l>m)))
~(~(((v|(v>(l>m)))&l)))
1
0
0
0
entailment
(((d>l)|(q&(v|r)))>((~(h)|l)>r))
~(~(((v|(v>(l>m)))&l)))
0
1
0
0
not entailment
(t&~((l>m)))
(l>~(~((l&(q|r)))))
0
0
0
0
not entailment
~((((m>h)|l)|(~(((h&t)|~(l)))|q)))
~(~((((l|h)>((t|r)|m))|r)))
1
1
0
0
entailment
((h&h)&~((v&v)))
(((h>(t>(v|l)))&(m&~(d)))>(((h|q)|h)|d))
1
0
0
0
entailment
~((((m>h)|l)|(~(((h&t)|~(l)))|q)))
(((h>(t>(v|l)))&(m&~(d)))>(((h|q)|h)|d))
0
0
0
0
not entailment
((h&h)&~((v&v)))
~(~((((l|h)>((t|r)|m))|r)))
0
0
0
0
not entailment
((((r&v)&l)>~(((q|m)&q)))&~(q))
(v>~(q))
1
1
1
1
entailment
~((((d|d)&((t|d)&r))|(h>r)))
((((d&r)>l)|h)>((v&h)|(v>((v&q)&(v&v)))))
1
0
0
0
entailment
((((r&v)&l)>~(((q|m)&q)))&~(q))
((((d&r)>l)|h)>((v&h)|(v>((v&q)&(v&v)))))
0
0
0
0
not entailment
~((((d|d)&((t|d)&r))|(h>r)))
(v>~(q))
0
1
0
0
not entailment
((q|~((q&v)))>l)
(~((l&((v|l)|d)))>(~((r>v))|d))
1
0
0
0
entailment
((~(~(~(v)))>((h>(h>q))|(d|v)))&v)
((l>v)|((q>q)&~((~((~(h)>r))>q))))
1
1
0
0
entailment
((q|~((q&v)))>l)
((l>v)|((q>q)&~((~((~(h)>r))>q))))
0
0
0
0
not entailment
((~(~(~(v)))>((h>(h>q))|(d|v)))&v)
(~((l&((v|l)|d)))>(~((r>v))|d))
0
1
0
0
not entailment
~(~((d&v)))
((t&h)>((q>d)&(((q&m)>d)&t)))
1
0
0
0
entailment
((v&~((h>l)))&(~(~((m|q)))&(h|q)))
(h|l)
1
1
1
0
entailment
~(~((d&v)))
(h|l)
0
1
0
0
not entailment
((v&~((h>l)))&(~(~((m|q)))&(h|q)))
((t&h)>((q>d)&(((q&m)>d)&t)))
0
1
0
0
not entailment
~((v|(t|l)))
((((t|((m|q)&v))&(q&(q&m)))|v)|~(l))
1
0
0
0
entailment
(t&(~(~(t))|((v|q)&h)))
(((q&(r|(r|d)))|~(r))>(d>(~(r)>t)))
1
0
0
0
entailment
~((v|(t|l)))
(((q&(r|(r|d)))|~(r))>(d>(~(r)>t)))
0
0
0
0
not entailment
(t&(~(~(t))|((v|q)&h)))
((((t|((m|q)&v))&(q&(q&m)))|v)|~(l))
0
0
0
0
not entailment
~(((~(m)&(~(m)&q))|((h&r)>d)))
(((q|v)>(q>~(l)))>(~(h)>(~((r|q))&t)))
1
0
0
0
entailment
~(((q|r)>h))
~((r&((h|h)&t)))
1
0
0
0
entailment
~(((~(m)&(~(m)&q))|((h&r)>d)))
~((r&((h|h)&t)))
0
1
0
0
not entailment
~(((q|r)>h))
(((q|v)>(q>~(l)))>(~(h)>(~((r|q))&t)))
0
0
0
0
not entailment