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
((s>s)>((o|(o>~(z)))>o))
(~(((o|~(s))&(~(z)|o)))>~(r))
1
0
0
0
entailment
(~((z>(z>(((o>o)>(s|z))&(s&z)))))&(r&r))
(((r|z)|r)|(s&s))
1
1
1
0
entailment
((s>s)>((o|(o>~(z)))>o))
(((r|z)|r)|(s&s))
0
1
0
0
not entailment
(~((z>(z>(((o>o)>(s|z))&(s&z)))))&(r&r))
(~(((o|~(s))&(~(z)|o)))>~(r))
0
1
1
0
not entailment
((o&~((r|z)))&((s|s)|(r&(r|s))))
((o|s)&((z>((s|(z>o))>s))&o))
1
1
1
0
entailment
~((r>((z>o)&((z>o)|z))))
(z&r)
1
1
1
1
entailment
((o&~((r|z)))&((s|s)|(r&(r|s))))
(z&r)
0
1
1
0
not entailment
~((r>((z>o)&((z>o)|z))))
((o|s)&((z>((s|(z>o))>s))&o))
0
0
0
0
not entailment
~(((~(o)>z)|s))
~(~((z|((o&o)>s))))
1
0
1
0
entailment
(r&(((r|r)|r)&(s|o)))
(~(~((r&(o>r))))&(~(s)|s))
1
0
1
0
entailment
~(((~(o)>z)|s))
(~(~((r&(o>r))))&(~(s)|s))
0
0
0
0
not entailment
(r&(((r|r)|r)&(s|o)))
~(~((z|((o&o)>s))))
0
1
0
0
not entailment
~(((s|z)&(~((~(s)&o))|~(~(s)))))
((z|(s>s))>((o&o)|((r&s)>~(s))))
1
1
0
0
entailment
(~((s>((r|o)>((r>(o&r))&s))))&(r|(s&z)))
(o|((r>(~(~((r|r)))|(s>(z&o))))&s))
1
1
1
1
entailment
~(((s|z)&(~((~(s)&o))|~(~(s)))))
(o|((r>(~(~((r|r)))|(s>(z&o))))&s))
0
1
0
0
not entailment
(~((s>((r|o)>((r>(o&r))&s))))&(r|(s&z)))
((z|(s>s))>((o&o)|((r&s)>~(s))))
0
1
1
0
not entailment
(s&(r>r))
((z&(o>s))>(~((r>((~(r)>s)>(o|s))))|s))
1
0
0
0
entailment
(o|~(s))
((s&~((o&s)))>~(((s|(z>r))>r)))
1
0
0
0
entailment
(s&(r>r))
((s&~((o&s)))>~(((s|(z>r))>r)))
0
0
0
0
not entailment
(o|~(s))
((z&(o>s))>(~((r>((~(r)>s)>(o|s))))|s))
0
0
0
0
not entailment
(~((s|o))>~(((z|~(s))|~(o))))
(((r|o)|o)|s)
1
1
0
0
entailment
~(((((r&o)>(r>z))&(o&o))|z))
(s>(~(((r>((s|z)|o))&o))|(~((z&s))&r)))
1
0
0
0
entailment
(~((s|o))>~(((z|~(s))|~(o))))
(s>(~(((r>((s|z)|o))&o))|(~((z&s))&r)))
0
0
0
0
not entailment
~(((((r&o)>(r>z))&(o&o))|z))
(((r|o)|o)|s)
0
1
0
0
not entailment
(((s|s)|~(r))&o)
(s>o)
1
1
1
0
entailment
((r|o)>(((s>(o|~(r)))|z)&~(z)))
((o&s)>~((z&z)))
1
1
1
1
entailment
(((s|s)|~(r))&o)
((o&s)>~((z&z)))
0
1
0
0
not entailment
((r|o)>(((s>(o|~(r)))|z)&~(z)))
(s>o)
0
1
1
1
not entailment
~(((z&o)>r))
~(r)
1
1
1
1
entailment
((s>(z>s))&s)
(s|r)
1
1
0
0
entailment
~(((z&o)>r))
(s|r)
0
1
0
0
not entailment
((s>(z>s))&s)
~(r)
0
1
0
0
not entailment
~((z>~(~(((s>(r&s))>(o&o))))))
((s&(s>o))>r)
1
1
1
1
entailment
(((z|o)>z)>((s|o)&~(s)))
(o|(((~(r)|o)|(s|s))|s))
1
1
0
0
entailment
~((z>~(~(((s>(r&s))>(o&o))))))
(o|(((~(r)|o)|(s|s))|s))
0
1
1
0
not entailment
(((z|o)>z)>((s|o)&~(s)))
((s&(s>o))>r)
0
1
0
0
not entailment
((s>s)&~(((r>z)>s)))
~(s)
1
1
1
1
entailment
(~((o|o))&(~((z|r))|(s&r)))
(o>((s&z)&~(((s&s)|(~(z)&(z|s))))))
1
0
1
0
entailment
((s>s)&~(((r>z)>s)))
(o>((s&z)&~(((s&s)|(~(z)&(z|s))))))
0
0
0
0
not entailment
(~((o|o))&(~((z|r))|(s&r)))
~(s)
0
1
1
0
not entailment
~(((f&(~(p)&f))|(~((j&w))>(s|u))))
~(~((w|~(u))))
1
1
1
0
entailment
~((c|((g|(w|f))|(j>s))))
(w>f)
1
1
1
0
entailment
~(((f&(~(p)&f))|(~((j&w))>(s|u))))
(w>f)
0
1
1
0
not entailment
~((c|((g|(w|f))|(j>s))))
~(~((w|~(u))))
0
1
0
0
not entailment
(l&(~(f)&(~((j|j))&((j|s)&(g&u)))))
(u|p)
1
1
0
0
entailment
(w&j)
(~(((c>f)|p))>(j|w))
1
0
0
0
entailment
(l&(~(f)&(~((j|j))&((j|s)&(g&u)))))
(~(((c>f)|p))>(j|w))
0
1
0
0
not entailment
(w&j)
(u|p)
0
1
0
0
not entailment
((p>~(g))&(~(~((f&(p>l))))&~((j|l))))
((~((s&(~((w|g))|g)))>s)|(g>~(j)))
1
1
0
0
entailment
(j&(l|w))
(w|(j|u))
1
1
0
0
entailment
((p>~(g))&(~(~((f&(p>l))))&~((j|l))))
(w|(j|u))
0
1
0
0
not entailment
(j&(l|w))
((~((s&(~((w|g))|g)))>s)|(g>~(j)))
0
0
0
0
not entailment
(((s&g)|((~(p)&p)&(~(g)&u)))&j)
((l&~(w))|s)
1
1
0
0
entailment
((l>(j>f))&l)
((((w&g)>(j&g))>(s>~((s>(f>g)))))|l)
1
0
0
0
entailment
(((s&g)|((~(p)&p)&(~(g)&u)))&j)
((((w&g)>(j&g))>(s>~((s>(f>g)))))|l)
0
0
0
0
not entailment
((l>(j>f))&l)
((l&~(w))|s)
0
1
0
0
not entailment
((j|(j|((j|p)|c)))&(~(j)&((g|c)&l)))
(~(l)>g)
1
1
1
1
entailment
((s>g)&((((j|p)>c)|~(((j|p)>p)))>(p|p)))
(u>p)
1
1
0
0
entailment
((j|(j|((j|p)|c)))&(~(j)&((g|c)&l)))
(u>p)
0
1
0
0
not entailment
((s>g)&((((j|p)>c)|~(((j|p)>p)))>(p|p)))
(~(l)>g)
0
1
0
0
not entailment
(~((s|(w>j)))&(w&(l&u)))
(f>(((l&(u&g))>g)>(j>~(j))))
1
0
0
0
entailment
(s&f)
~(~(s))
1
0
1
1
entailment
(~((s|(w>j)))&(w&(l&u)))
~(~(s))
0
1
1
0
not entailment
(s&f)
(f>(((l&(u&g))>g)>(j>~(j))))
0
0
0
0
not entailment
(g&(((w|j)|(c>~(j)))&s))
((~((p>s))&(w&((l>f)&~(l))))>~(~(f)))
1
0
0
0
entailment
~((((~(c)|f)&~(((l>p)&s)))|s))
(((f>w)|(p>p))>~((s&(~((c>j))|~(c)))))
1
0
0
0
entailment
(g&(((w|j)|(c>~(j)))&s))
(((f>w)|(p>p))>~((s&(~((c>j))|~(c)))))
0
0
0
0
not entailment
~((((~(c)|f)&~(((l>p)&s)))|s))
((~((p>s))&(w&((l>f)&~(l))))>~(~(f)))
0
0
0
0
not entailment
((l|j)&c)
(~((~(s)>j))>~((((w>u)>c)>j)))
1
0
0
0
entailment
(~(~((((l>u)&c)>s)))>~(p))
((((l>w)&p)|l)>((s>w)|(l|(p>~(j)))))
1
0
0
0
entailment
((l|j)&c)
((((l>w)&p)|l)>((s>w)|(l|(p>~(j)))))
0
0
0
0
not entailment
(~(~((((l>u)&c)>s)))>~(p))
(~((~(s)>j))>~((((w>u)>c)>j)))
0
0
0
0
not entailment
(((g&p)&w)|(((l&(c>s))&w)&(l|~(l))))
(~(w)>g)
1
1
1
1
entailment
~(((g|p)|j))
((c|~(~(c)))|((~(g)|l)|s))
1
0
0
0
entailment
(((g&p)&w)|(((l&(c>s))&w)&(l|~(l))))
((c|~(~(c)))|((~(g)|l)|s))
0
1
1
0
not entailment
~(((g|p)|j))
(~(w)>g)
0
1
0
0
not entailment
((g&(l|s))&((j&p)&l))
(j|(c&s))
1
1
0
0
entailment
((c&c)&c)
(l>c)
1
1
0
0
entailment
((g&(l|s))&((j&p)&l))
(l>c)
0
1
0
0
not entailment
((c&c)&c)
(j|(c&s))
0
1
0
0
not entailment
~((~(p)>s))
(((s&f)|~((s&(l>l))))|g)
1
0
0
0
entailment
((j>f)&~((((s&l)&u)>w)))
(~(((f|(g|f))&~(s)))|((w&c)|(l|s)))
1
0
0
0
entailment
~((~(p)>s))
(~(((f|(g|f))&~(s)))|((w&c)|(l|s)))
0
0
0
0
not entailment
((j>f)&~((((s&l)&u)>w)))
(((s&f)|~((s&(l>l))))|g)
0
1
0
0
not entailment
(((f|(w&l))|c)&~((j>((~(f)|u)|s))))
(~((g>~((w&u))))>~(p))
1
1
0
0
entailment
~((~(g)|(w&l)))
((p|(u|g))|~(w))
1
1
0
0
entailment
(((f|(w&l))|c)&~((j>((~(f)|u)|s))))
((p|(u|g))|~(w))
0
1
0
0
not entailment
~((~(g)|(w&l)))
(~((g>~((w&u))))>~(p))
0
0
0
0
not entailment
(g&g)
((f>(((u>j)>s)|u))>((j&f)|g))
1
0
0
0
entailment
~((~(~(~(((g|g)|(u|g)))))>f))
(l>(f|~((j&g))))
1
1
0
0
entailment
(g&g)
(l>(f|~((j&g))))
0
0
0
0
not entailment
~((~(~(~(((g|g)|(u|g)))))>f))
((f>(((u>j)>s)|u))>((j&f)|g))
0
1
0
0
not entailment
(((l>u)&g)&((w&l)>(p>(l>c))))
(w>(g&(w|j)))
1
1
0
0
entailment
~((l|((p&s)&s)))
((f>(c|w))>~(l))
1
1
0
0
entailment
(((l>u)&g)&((w&l)>(p>(l>c))))
((f>(c|w))>~(l))
0
1
0
0
not entailment
~((l|((p&s)&s)))
(w>(g&(w|j)))
0
1
0
0
not entailment
(~(((p>g)&(((l|l)|~((c>f)))>w)))|l)
(f>(~(g)|(g&l)))
1
1
1
0
entailment
(((w&j)>((j|c)|(u&g)))>c)
(~(w)>(u>c))
1
1
1
1
entailment
(~(((p>g)&(((l|l)|~((c>f)))>w)))|l)
(~(w)>(u>c))
0
1
0
0
not entailment
(((w&j)>((j|c)|(u&g)))>c)
(f>(~(g)|(g&l)))
0
1
0
0
not entailment