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
~(((e>o)>(w|e)))
((((~(e)&e)|e)>(o|o))|((e&o)&~((w&o))))
1
0
1
0
entailment
(w&(e|e))
((o&o)>(o&w))
1
0
0
0
entailment
~(((e>o)>(w|e)))
((o&o)>(o&w))
0
1
1
0
not entailment
(w&(e|e))
((((~(e)&e)|e)>(o|o))|((e&o)&~((w&o))))
0
0
0
0
not entailment
(((w&o)>~((e|w)))>~((w>o)))
((w|(o&e))|(o|w))
1
1
1
1
entailment
~((((o|o)|e)>(o|(o&w))))
~(~((e&(e|~(((e|o)&((w>o)|w)))))))
1
0
1
0
entailment
(((w&o)>~((e|w)))>~((w>o)))
~(~((e&(e|~(((e|o)&((w>o)|w)))))))
0
0
1
0
not entailment
~((((o|o)|e)>(o|(o&w))))
((w|(o&e))|(o|w))
0
1
1
0
not entailment
(((w|(o&~(e)))|e)&((e|o)>(o&~(e))))
(e>w)
1
1
1
1
entailment
(~(((e|(o&e))&(o&e)))>o)
(e|o)
1
1
1
1
entailment
(((w|(o&~(e)))|e)&((e|o)>(o&~(e))))
(e|o)
0
1
1
1
not entailment
(~(((e|(o&e))&(o&e)))>o)
(e>w)
0
1
0
0
not entailment
~((~((~((~(o)|(e&o)))>e))>~(o)))
((o&e)|((o|e)|e))
1
1
1
0
entailment
~(((o>(~((e&w))>((e>w)>e)))>(w>(w>e))))
(w&(~((w>w))>(w&~(w))))
1
1
1
1
entailment
~((~((~((~(o)|(e&o)))>e))>~(o)))
(w&(~((w>w))>(w&~(w))))
0
1
0
0
not entailment
~(((o>(~((e&w))>((e>w)>e)))>(w>(w>e))))
((o&e)|((o|e)|e))
0
1
1
0
not entailment
(~(~(e))&(w|w))
(((e|o)>w)|o)
1
1
0
0
entailment
((w>(w>o))|o)
((w>o)&((((o>w)|(w&o))&o)>((e|(o>o))>w)))
1
0
0
0
entailment
(~(~(e))&(w|w))
((w>o)&((((o>w)|(w&o))&o)>((e|(o>o))>w)))
0
0
0
0
not entailment
((w>(w>o))|o)
(((e|o)>w)|o)
0
1
0
0
not entailment
((w&o)&((w|w)&o))
(((w&e)&w)|(w|((o>o)&(w&~(w)))))
1
0
0
0
entailment
~((w|~(((~(o)&w)|(o|o)))))
(~(w)&~((e&(w|w))))
1
1
0
0
entailment
((w&o)&((w|w)&o))
(~(w)&~((e&(w|w))))
0
0
0
0
not entailment
~((w|~(((~(o)&w)|(o|o)))))
(((w&e)&w)|(w|((o>o)&(w&~(w)))))
0
0
0
0
not entailment
(e&(e>o))
(~(o)>(w|((~(~(w))|w)|(o&w))))
1
0
0
0
entailment
~(o)
(w|~(~(~((o&~(w))))))
1
0
0
0
entailment
(e&(e>o))
(w|~(~(~((o&~(w))))))
0
0
0
0
not entailment
~(o)
(~(o)>(w|((~(~(w))|w)|(o&w))))
0
0
0
0
not entailment
((w>(e&e))&(~((o&~(w)))|o))
(w>e)
1
1
1
1
entailment
(~(o)|(w&(e|e)))
(w|(o>w))
1
1
1
1
entailment
((w>(e&e))&(~((o&~(w)))|o))
(w|(o>w))
0
1
1
1
not entailment
(~(o)|(w&(e|e)))
(w>e)
0
1
1
0
not entailment
(a|~(~((s&((h>s)>~((n&n)))))))
(n>(a&n))
1
1
1
0
entailment
~((~(((s&s)|q))|((y>((c>y)>a))|~(c))))
(q>(c|c))
1
1
1
0
entailment
(a|~(~((s&((h>s)>~((n&n)))))))
(q>(c|c))
0
1
0
0
not entailment
~((~(((s&s)|q))|((y>((c>y)>a))|~(c))))
(n>(a&n))
0
1
0
0
not entailment
(((c>h)>(s|h))>(y&h))
(~((n&(h|y)))|~((a&~((y|~(h))))))
1
0
0
0
entailment
((h|h)|(q&h))
((h|(((s&s)>h)|q))>(n|h))
1
0
0
0
entailment
(((c>h)>(s|h))>(y&h))
((h|(((s&s)>h)|q))>(n|h))
0
0
0
0
not entailment
((h|h)|(q&h))
(~((n&(h|y)))|~((a&~((y|~(h))))))
0
0
0
0
not entailment
((h&(((n&(n>h))>h)>s))&((n>q)&a))
(((n|n)>(h>(n>y)))|((a&s)&n))
1
1
0
0
entailment
~((((c>n)>(s&n))&(((a>a)|a)|s)))
~((((n|h)>q)&~(((q&s)>(c>(y>n))))))
1
0
0
0
entailment
((h&(((n&(n>h))>h)>s))&((n>q)&a))
~((((n|h)>q)&~(((q&s)>(c>(y>n))))))
0
0
0
0
not entailment
~((((c>n)>(s&n))&(((a>a)|a)|s)))
(((n|n)>(h>(n>y)))|((a&s)&n))
0
1
0
0
not entailment
~((((y|a)&(c&c))|(~((h|~(y)))>q)))
~(~(((a&c)>((c&q)>~(((a|s)>q))))))
1
1
0
0
entailment
((h&s)&(q|(n&c)))
((s|~((~((a&a))&a)))&(~((n|a))>(h|n)))
1
0
0
0
entailment
~((((y|a)&(c&c))|(~((h|~(y)))>q)))
((s|~((~((a&a))&a)))&(~((n|a))>(h|n)))
0
0
0
0
not entailment
((h&s)&(q|(n&c)))
~(~(((a&c)>((c&q)>~(((a|s)>q))))))
0
0
0
0
not entailment
(h&~(a))
((n&n)|(~(a)|~((h&(s>(n&y))))))
1
0
0
0
entailment
(y&c)
(((n|~(h))&(a&n))|y)
1
0
0
0
entailment
(h&~(a))
(((n|~(h))&(a&n))|y)
0
0
0
0
not entailment
(y&c)
((n&n)|(~(a)|~((h&(s>(n&y))))))
0
0
0
0
not entailment
(((n|(q>q))>(h&h))&c)
(y>((n>h)&(h&(a>~(~(a))))))
1
0
0
0
entailment
((~(q)|(y&h))&c)
(~(((~(n)&(y|a))|(q|y)))|((s>y)|a))
1
0
0
0
entailment
(((n|(q>q))>(h&h))&c)
(~(((~(n)&(y|a))|(q|y)))|((s>y)|a))
0
0
0
0
not entailment
((~(q)|(y&h))&c)
(y>((n>h)&(h&(a>~(~(a))))))
0
0
0
0
not entailment
~(h)
((h&q)>(y|(c|~((s|s)))))
1
0
0
0
entailment
(s&h)
(~((~(a)>(c&(q|~(q)))))|(s|h))
1
0
0
0
entailment
~(h)
(~((~(a)>(c&(q|~(q)))))|(s|h))
0
0
0
0
not entailment
(s&h)
((h&q)>(y|(c|~((s|s)))))
0
0
0
0
not entailment
(c&(((h>(h|y))&a)&y))
~(~(((~(h)>y)|(((c&~(n))|y)&s))))
1
0
0
0
entailment
~((n&(n|((s|(s|q))|n))))
(~(n)|q)
1
1
1
0
entailment
(c&(((h>(h|y))&a)&y))
(~(n)|q)
0
1
0
0
not entailment
~((n&(n|((s|(s|q))|n))))
~(~(((~(h)>y)|(((c&~(n))|y)&s))))
0
0
0
0
not entailment
~(((h&y)>~(c)))
(q|y)
1
1
0
0
entailment
((s&((c|a)&(q|q)))|((q>q)&n))
~(~((n|q)))
1
1
1
1
entailment
~(((h&y)>~(c)))
~(~((n|q)))
0
1
0
0
not entailment
((s&((c|a)&(q|q)))|((q>q)&n))
(q|y)
0
1
0
0
not entailment
~((y>~(c)))
((h&(((c|n)&h)|~(s)))|((s|y)|s))
1
0
0
0
entailment
(a&(q|((y|y)&s)))
~((((q&(h|s))&(q&n))&(((c>y)|a)>~(a))))
1
0
0
0
entailment
~((y>~(c)))
~((((q&(h|s))&(q&n))&(((c>y)|a)>~(a))))
0
0
0
0
not entailment
(a&(q|((y|y)&s)))
((h&(((c|n)&h)|~(s)))|((s|y)|s))
0
0
0
0
not entailment
~((n>~((c&a))))
((((s|y)|c)|h)|((h|(c|~(q)))|~(~(n))))
1
0
0
0
entailment
~((((~((h>~(a)))|c)|n)|y))
~(~(((~(c)|~(~(h)))|h)))
1
1
1
0
entailment
~((n>~((c&a))))
~(~(((~(c)|~(~(h)))|h)))
0
0
0
0
not entailment
~((((~((h>~(a)))|c)|n)|y))
((((s|y)|c)|h)|((h|(c|~(q)))|~(~(n))))
0
0
0
0
not entailment
(c&s)
(s&s)
1
1
1
1
entailment
(n&((c|s)>(n&s)))
(~((y&~(((c>a)&c))))|(n|((c>h)&y)))
1
0
0
0
entailment
(c&s)
(~((y&~(((c>a)&c))))|(n|((c>h)&y)))
0
0
0
0
not entailment
(n&((c|s)>(n&s)))
(s&s)
0
1
1
1
not entailment
((s&(n&h))&h)
(~((a&a))|(n|n))
1
0
0
0
entailment
((c&(q|q))|(n>~(((a>n)|~(c)))))
((n&n)>(c&(a|q)))
1
1
1
1
entailment
((s&(n&h))&h)
((n&n)>(c&(a|q)))
0
0
0
0
not entailment
((c&(q|q))|(n>~(((a>n)|~(c)))))
(~((a&a))|(n|n))
0
1
1
0
not entailment
((a&n)&(n&(~((((a|c)|a)>c))>q)))
~((a>(q&~(n))))
1
1
1
0
entailment
((~(a)>((h&~(h))|y))>~((a|c)))
((n&(a&~(n)))|~((~(~((q>c)))&(a&s))))
1
0
0
0
entailment
((a&n)&(n&(~((((a|c)|a)>c))>q)))
((n&(a&~(n)))|~((~(~((q>c)))&(a&s))))
0
0
0
0
not entailment
((~(a)>((h&~(h))|y))>~((a|c)))
~((a>(q&~(n))))
0
1
0
0
not entailment
((q&h)|(((q>q)&(c|h))&n))
((h|~(~(((a|a)&n))))|(y>~(a)))
1
0
0
0
entailment
(c|y)
((~(c)>((q&h)|y))|a)
1
0
0
0
entailment
((q&h)|(((q>q)&(c|h))&n))
((~(c)>((q&h)|y))|a)
0
1
0
0
not entailment
(c|y)
((h|~(~(((a|a)&n))))|(y>~(a)))
0
0
0
0
not entailment
(n&(((~((n&y))>~((h>a)))|(q>s))>s))
(((a|q)>(a|s))|(c>n))
1
1
0
0
entailment
~(~(q))
((a>q)|q)
1
1
0
0
entailment
(n&(((~((n&y))>~((h>a)))|(q>s))>s))
((a>q)|q)
0
1
1
0
not entailment
~(~(q))
(((a|q)>(a|s))|(c>n))
0
0
0
0
not entailment
(~(w)>((m&(w&w))&(k>(t>x))))
(~(w)>(((t|w)|k)&(~((v&k))>(w|m))))
1
0
0
0
entailment
(~((x>(m|~(~(w)))))&g)
~((k&((~((k>(i&x)))|((t>x)|m))&m)))
1
0
0
0
entailment
(~(w)>((m&(w&w))&(k>(t>x))))
~((k&((~((k>(i&x)))|((t>x)|m))&m)))
0
0
0
0
not entailment
(~((x>(m|~(~(w)))))&g)
(~(w)>(((t|w)|k)&(~((v&k))>(w|m))))
0
0
0
0
not entailment