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
~(((~(z)|~(((f>(z>f))|((z|f)&f))))>z))
((z&z)>((f>z)&f))
1
1
1
1
entailment
((f>f)>~((z>f)))
~((f|f))
1
1
1
1
entailment
~(((~(z)|~(((f>(z>f))|((z|f)&f))))>z))
~((f|f))
0
1
1
1
not entailment
((f>f)>~((z>f)))
((z&z)>((f>z)&f))
0
1
1
0
not entailment
(((~(~((w>w)))&h)&~(o))&(o>o))
~(((n&(o>w))&o))
1
1
0
0
entailment
(((o|(o>o))&(n|o))&o)
(w>((n|w)&o))
1
1
0
0
entailment
(((~(~((w>w)))&h)&~(o))&(o>o))
(w>((n|w)&o))
0
1
0
0
not entailment
(((o|(o>o))&(n|o))&o)
~(((n&(o>w))&o))
0
1
0
0
not entailment
~(~(n))
((o|n)|((n>(o&n))&o))
1
0
0
0
entailment
~(~(((h&((o|o)&o))|(o|(h|h)))))
(h|o)
1
1
1
1
entailment
~(~(n))
(h|o)
0
1
0
0
not entailment
~(~(((h&((o|o)&o))|(o|(h|h)))))
((o|n)|((n>(o&n))&o))
0
1
0
0
not entailment
(n|n)
((o|n)&(n|(o>h)))
1
0
0
0
entailment
~((~((w&h))>((o|w)>((w|w)>(w>o)))))
~(~(((~(~((n&((o|n)>w))))|(n>w))&w)))
1
0
0
0
entailment
(n|n)
~(~(((~(~((n&((o|n)>w))))|(n>w))&w)))
0
0
0
0
not entailment
~((~((w&h))>((o|w)>((w|w)>(w>o)))))
((o|n)&(n|(o>h)))
0
1
0
0
not entailment
((n&(w|(n>((n>h)|h))))&((o|w)&w))
((~(n)|~(((o|h)>w)))|((w&w)|~(~(o))))
1
0
1
0
entailment
~(((n|w)>((n&n)>o)))
(o>~(((h|o)>h)))
1
1
0
0
entailment
((n&(w|(n>((n>h)|h))))&((o|w)&w))
(o>~(((h|o)>h)))
0
1
1
0
not entailment
~(((n|w)>((n&n)>o)))
((~(n)|~(((o|h)>w)))|((w&w)|~(~(o))))
0
0
0
0
not entailment
((((w>((n|n)|(w>n)))>~(o))>((n&h)&o))|n)
(o|n)
1
1
1
1
entailment
((~(~(((h&w)|(w&h))))>w)&~((h>w)))
(((o>((~(n)>w)|o))&o)|(h|(n&o)))
1
1
0
0
entailment
((((w>((n|n)|(w>n)))>~(o))>((n&h)&o))|n)
(((o>((~(n)>w)|o))&o)|(h|(n&o)))
0
1
1
0
not entailment
((~(~(((h&w)|(w&h))))>w)&~((h>w)))
(o|n)
0
1
0
0
not entailment
~((o>h))
((~(w)&(n>w))|((o>o)>o))
1
0
0
0
entailment
(((o|h)|w)>(w&h))
((((n|n)>~(~(h)))>h)|((~(n)&~(o))|n))
1
0
0
0
entailment
~((o>h))
((((n|n)>~(~(h)))>h)|((~(n)&~(o))|n))
0
0
0
0
not entailment
(((o|h)|w)>(w&h))
((~(w)&(n>w))|((o>o)>o))
0
0
0
0
not entailment
(n&(w>n))
((o>(n&o))|((h&o)>w))
1
0
0
0
entailment
((o|(o&(h>n)))&o)
(((h>o)|((o&n)|n))>(~(h)|(o|o)))
1
0
1
0
entailment
(n&(w>n))
(((h>o)|((o&n)|n))>(~(h)|(o|o)))
0
0
0
0
not entailment
((o|(o&(h>n)))&o)
((o>(n&o))|((h&o)>w))
0
0
0
0
not entailment
((~(~((o>(~(o)>o))))>n)&o)
(n&(~((h|~((w>h))))>n))
1
1
0
0
entailment
~((w>(o&(o>w))))
((n&((o|(o>n))&o))>(w&((o&h)|(h|w))))
1
0
0
0
entailment
((~(~((o>(~(o)>o))))>n)&o)
((n&((o|(o>n))&o))>(w&((o&h)|(h|w))))
0
0
0
0
not entailment
~((w>(o&(o>w))))
(n&(~((h|~((w>h))))>n))
0
0
0
0
not entailment
~(((w>o)|(n>~(w))))
~(((((h|o)>h)>(w|n))>(h&(o&(w>w)))))
1
0
0
0
entailment
(h&(~(~(h))>w))
(w>h)
1
1
1
0
entailment
~(((w>o)|(n>~(w))))
(w>h)
0
1
0
0
not entailment
(h&(~(~(h))>w))
~(((((h|o)>h)>(w|n))>(h&(o&(w>w)))))
0
0
0
0
not entailment
(~((n>o))&(w>o))
((o>n)|((~(o)&(h&w))&(o>o)))
1
0
0
0
entailment
((o&((h|n)|n))|~(((h>h)|n)))
(((h&w)>(h&w))>o)
1
1
0
0
entailment
(~((n>o))&(w>o))
(((h&w)>(h&w))>o)
0
1
0
0
not entailment
((o&((h|n)|n))|~(((h>h)|n)))
((o>n)|((~(o)&(h&w))&(o>o)))
0
1
0
0
not entailment
((n&w)|(h&(w|~(~(w)))))
~(~(w))
1
1
1
1
entailment
(n|~(((n>n)>o)))
(o>(o>n))
1
1
1
1
entailment
((n&w)|(h&(w|~(~(w)))))
(o>(o>n))
0
1
0
0
not entailment
(n|~(((n>n)>o)))
~(~(w))
0
1
0
0
not entailment
((w&o)|w)
(((((n&h)|h)>((n|h)|o))>((h|n)>o))>w)
1
0
0
0
entailment
~(((((o>n)|((o>~(~(w)))&n))|h)|w))
((w|o)>~((~(h)&n)))
1
1
1
0
entailment
((w&o)|w)
((w|o)>~((~(h)&n)))
0
0
0
0
not entailment
~(((((o>n)|((o>~(~(w)))&n))|h)|w))
(((((n&h)|h)>((n|h)|o))>((h|n)>o))>w)
0
1
1
0
not entailment
(~((n&w))&~(~(~(o))))
(n>~(w))
1
1
1
1
entailment
(n&(~(~(n))&w))
((w|~(h))&n)
1
1
0
0
entailment
(~((n&w))&~(~(~(o))))
((w|~(h))&n)
0
1
0
0
not entailment
(n&(~(~(n))&w))
(n>~(w))
0
1
1
0
not entailment
(((o>o)|(~(~((w>n)))|w))&w)
(~(h)|w)
1
1
0
0
entailment
(n&((h&w)|o))
((n&(n|h))|(n&w))
1
0
1
1
entailment
(((o>o)|(~(~((w>n)))|w))&w)
((n&(n|h))|(n&w))
0
1
0
0
not entailment
(n&((h&w)|o))
(~(h)|w)
0
1
1
0
not entailment
~(u)
(~(~(q))>((i>u)>~(i)))
1
0
0
0
entailment
(((s&(((y&j)|(~(j)&j))&e))|y)&u)
((q>~(((i>y)|(r|(j|(j|r))))))|y)
1
1
0
0
entailment
~(u)
((q>~(((i>y)|(r|(j|(j|r))))))|y)
0
0
0
0
not entailment
(((s&(((y&j)|(~(j)&j))&e))|y)&u)
(~(~(q))>((i>u)>~(i)))
0
1
0
0
not entailment
(u&~((u>((i&s)>(((r|(i&y))|q)&e)))))
(~((q&(i&(e>s))))>((s&i)|~(s)))
1
1
1
0
entailment
((e&r)&(((u|u)&((q|i)&u))|(((u|q)&y)&j)))
(r|(~(~(q))&(~((r&(q&((y&q)&e))))|i)))
1
1
1
0
entailment
(u&~((u>((i&s)>(((r|(i&y))|q)&e)))))
(r|(~(~(q))&(~((r&(q&((y&q)&e))))|i)))
0
0
1
0
not entailment
((e&r)&(((u|u)&((q|i)&u))|(((u|q)&y)&j)))
(~((q&(i&(e>s))))>((s&i)|~(s)))
0
1
0
0
not entailment
~(s)
((q>y)|(((q|(y&q))&s)>u))
1
0
0
0
entailment
~(~(((j&(i>e))|~(((j|~(r))>u)))))
(((~((j|q))&((e>r)&r))>(e|e))|(u>q))
1
1
0
0
entailment
~(s)
(((~((j|q))&((e>r)&r))>(e|e))|(u>q))
0
0
0
0
not entailment
~(~(((j&(i>e))|~(((j|~(r))>u)))))
((q>y)|(((q|(y&q))&s)>u))
0
1
0
0
not entailment
(((((y|(u&u))&q)|(y&r))&(i&(s|i)))&y)
((u>s)|i)
1
1
1
0
entailment
~(y)
~((y&(j|j)))
1
0
0
0
entailment
(((((y|(u&u))&q)|(y&r))&(i&(s|i)))&y)
~((y&(j|j)))
0
1
0
0
not entailment
~(y)
((u>s)|i)
0
0
0
0
not entailment
(s&~(q))
((j>s)|y)
1
1
0
0
entailment
((u&r)&q)
(u|y)
1
1
0
0
entailment
(s&~(q))
(u|y)
0
1
0
0
not entailment
((u&r)&q)
((j>s)|y)
0
1
0
0
not entailment
(~(~(~((e|i))))&(s>e))
((((((r|e)&y)&(r|q))&u)>~((s&(j|q))))|q)
1
0
0
0
entailment
~((r>~(((q|((~(e)>r)>r))>(j&u)))))
((j|((u|j)|(y&(r|s))))>((((j&j)&u)|y)>j))
1
0
0
0
entailment
(~(~(~((e|i))))&(s>e))
((j|((u|j)|(y&(r|s))))>((((j&j)&u)|y)>j))
0
0
0
0
not entailment
~((r>~(((q|((~(e)>r)>r))>(j&u)))))
((((((r|e)&y)&(r|q))&u)>~((s&(j|q))))|q)
0
0
0
0
not entailment
(s|j)
((e&u)|((i|j)|(r|s)))
1
0
0
0
entailment
(((j|q)&((q&y)&(s>s)))&((r&u)|y))
(((q|q)|u)|(~((y&~((q>i))))>(j&r)))
1
0
0
0
entailment
(s|j)
(((q|q)|u)|(~((y&~((q>i))))>(j&r)))
0
0
0
0
not entailment
(((j|q)&((q&y)&(s>s)))&((r&u)|y))
((e&u)|((i|j)|(r|s)))
0
1
0
0
not entailment
(j&((u|e)>~(s)))
(s>j)
1
1
1
1
entailment
((r>(i|s))>~(((r|y)>i)))
(i>q)
1
1
0
0
entailment
(j&((u|e)>~(s)))
(i>q)
0
1
0
0
not entailment
((r>(i|s))>~(((r|y)>i)))
(s>j)
0
1
0
0
not entailment
(s&u)
(u|~(((i|j)|((e|q)>(j&~((y|u)))))))
1
0
0
0
entailment
(y&(((y&r)&s)&(y>(r&y))))
((((e>q)|(i>s))&(q&y))|~((q&(u|s))))
1
0
0
0
entailment
(s&u)
((((e>q)|(i>s))&(q&y))|~((q&(u|s))))
0
0
0
0
not entailment
(y&(((y&r)&s)&(y>(r&y))))
(u|~(((i|j)|((e|q)>(j&~((y|u)))))))
0
0
0
0
not entailment
~(~(~(((r&j)>~(~(y))))))
(j|u)
1
1
0
0
entailment
(((s>r)|~(((q|u)&(y|(q&j)))))&i)
((e|(q|i))|q)
1
1
0
0
entailment
~(~(~(((r&j)>~(~(y))))))
((e|(q|i))|q)
0
1
0
0
not entailment
(((s>r)|~(((q|u)&(y|(q&j)))))&i)
(j|u)
0
1
1
0
not entailment