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
~((j>~(d)))
(d>((d&d)>~((j&j))))
0
0
1
0
not entailment
~((((d|(j|d))|~((j&j)))&(j>d)))
(~(j)|d)
0
1
1
0
not entailment
(d&(j>((j|j)>d)))
((d|d)|(d|d))
1
1
1
1
entailment
((((~(j)|j)|(~(j)>j))|d)&(j&j))
(j&(j&(d>j)))
1
1
1
0
entailment
(d&(j>((j|j)>d)))
(j&(j&(d>j)))
0
1
1
0
not entailment
((((~(j)|j)|(~(j)>j))|d)&(j&j))
((d|d)|(d|d))
0
1
1
1
not entailment
(d&j)
(((d>j)&j)|j)
1
0
1
0
entailment
(d&(((d>~((j|~(j))))|(j&j))>~((d|j))))
~((((j|d)&d)>((j|j)|(~(j)&j))))
1
1
1
1
entailment
(d&j)
~((((j|d)&d)>((j|j)|(~(j)&j))))
0
0
1
0
not entailment
(d&(((d>~((j|~(j))))|(j&j))>~((d|j))))
(((d>j)&j)|j)
0
1
1
1
not entailment
((~(d)>(j>j))&(j&(d&(j>d))))
(d|j)
1
1
1
1
entailment
~((~((j|~((j&j))))|j))
(j>(~(d)|~(d)))
1
1
0
0
entailment
((~(d)>(j>j))&(j&(d&(j>d))))
(j>(~(d)|~(d)))
0
1
1
0
not entailment
~((~((j|~((j&j))))|j))
(d|j)
0
1
0
0
not entailment
(d|(d&d))
(~(d)>~((d|j)))
1
0
0
0
entailment
~(~((((~(j)>d)&j)&(~(d)>(j|j)))))
(j&(j&j))
1
1
1
1
entailment
(d|(d&d))
(j&(j&j))
0
1
0
0
not entailment
~(~((((~(j)>d)&j)&(~(d)>(j|j)))))
(~(d)>~((d|j)))
0
1
1
0
not entailment
((d|d)&j)
~(~((~(d)>d)))
1
0
1
1
entailment
~((j|~((~((d&d))|d))))
~((((d&d)&d)&((d>(d|j))>((d&j)&j))))
1
0
1
0
entailment
((d|d)&j)
~((((d&d)&d)&((d>(d|j))>((d&j)&j))))
0
0
1
0
not entailment
~((j|~((~((d&d))|d))))
~(~((~(d)>d)))
0
1
1
1
not entailment
(((d|d)|j)>(~(j)&~(((d>d)>j))))
((((d|d)&d)>(j&d))>(j>~(~((d&j)))))
1
0
1
0
entailment
(d>~(((d>j)|~(((j>j)&~(d))))))
(~(~(~(d)))|j)
1
1
1
1
entailment
(((d|d)|j)>(~(j)&~(((d>d)>j))))
(~(~(~(d)))|j)
0
1
1
0
not entailment
(d>~(((d>j)|~(((j>j)&~(d))))))
((((d|d)&d)>(j&d))>(j>~(~((d&j)))))
0
0
1
1
not entailment
~(~(~(((~(j)>(d|d))|((d|(d&d))&j)))))
(~(((j>(j|d))|((d|j)|j)))|(j>d))
1
1
1
0
entailment
((d>((d>d)|j))>j)
((d|(j|~(d)))>(((j>d)>(~(j)>j))|j))
1
0
1
1
entailment
~(~(~(((~(j)>(d|d))|((d|(d&d))&j)))))
((d|(j|~(d)))>(((j>d)>(~(j)>j))|j))
0
1
1
0
not entailment
((d>((d>d)|j))>j)
(~(((j>(j|d))|((d|j)|j)))|(j>d))
0
0
1
1
not entailment
((d>d)>~((((j|d)&d)>~(j))))
(d|(~((d|d))>~((d|j))))
1
1
1
0
entailment
(j&~((j>d)))
~((j>d))
1
1
1
1
entailment
((d>d)>~((((j|d)&d)>~(j))))
~((j>d))
0
1
1
1
not entailment
(j&~((j>d)))
(d|(~((d|d))>~((d|j))))
0
0
1
0
not entailment
(j|(j|d))
((j|d)|(d|d))
1
0
1
1
entailment
((~((j>j))>d)>~((d&d)))
~((~(d)>d))
1
1
1
1
entailment
(j|(j|d))
~((~(d)>d))
0
0
1
0
not entailment
((~((j>j))>d)>~((d&d)))
((j|d)|(d|d))
0
1
1
0
not entailment
~((~(~((~((~(n)|z))|t)))|(e|(c&n))))
(~(c)|~(n))
1
1
1
1
entailment
((~(((~(((g|z)>z))|(c|t))>(z>e)))>g)>q)
(~(~(q))|(y>~(g)))
1
1
0
0
entailment
~((~(~((~((~(n)|z))|t)))|(e|(c&n))))
(~(~(q))|(y>~(g)))
0
1
0
0
not entailment
((~(((~(((g|z)>z))|(c|t))>(z>e)))>g)>q)
(~(c)|~(n))
0
1
0
0
not entailment
~((q>((e|y)>(c|y))))
(~(t)>((~(g)>e)|b))
1
1
0
0
entailment
(((z&((n&n)|~(q)))&y)|~(~((q&c))))
((z|((~(n)&t)|(c|g)))|n)
1
1
0
0
entailment
~((q>((e|y)>(c|y))))
((z|((~(n)&t)|(c|g)))|n)
0
0
0
0
not entailment
(((z&((n&n)|~(q)))&y)|~(~((q&c))))
(~(t)>((~(g)>e)|b))
0
1
0
0
not entailment
~((((~(z)>b)|y)|~(g)))
(((y|g)>c)|g)
1
1
0
0
entailment
(((t|q)>t)>~((g>(e>g))))
(n|q)
1
1
0
0
entailment
~((((~(z)>b)|y)|~(g)))
(n|q)
0
1
0
0
not entailment
(((t|q)>t)>~((g>(e>g))))
(((y|g)>c)|g)
0
1
0
0
not entailment
(c&g)
(~(((z|(q&e))|(g&t)))|(~((e|e))|g))
1
0
0
0
entailment
~(((g>c)>~(~(~((y&z))))))
~(~((~(n)>(y|~(((c&e)&g))))))
1
0
0
0
entailment
(c&g)
~(~((~(n)>(y|~(((c&e)&g))))))
0
0
0
0
not entailment
~(((g>c)>~(~(~((y&z))))))
(~(((z|(q&e))|(g&t)))|(~((e|e))|g))
0
0
0
0
not entailment
((q&n)&(y&~(~(g))))
~(~(n))
1
1
1
1
entailment
(~((q&c))&(~(g)&(~(e)&((y>z)&t))))
((~((b|~(~(~((n>q))))))|(y|(z&y)))>t)
1
0
0
0
entailment
((q&n)&(y&~(~(g))))
((~((b|~(~(~((n>q))))))|(y|(z&y)))>t)
0
0
0
0
not entailment
(~((q&c))&(~(g)&(~(e)&((y>z)&t))))
~(~(n))
0
1
0
0
not entailment
(e&~((((c&n)|n)&n)))
(n>(g&(z&e)))
1
1
0
0
entailment
~((b|z))
(((n|((c>n)>t))|q)>((b>z)|q))
1
0
0
0
entailment
(e&~((((c&n)|n)&n)))
(((n|((c>n)>t))|q)>((b>z)|q))
0
0
0
0
not entailment
~((b|z))
(n>(g&(z&e)))
0
0
0
0
not entailment
(((z|e)&(~(~((b>z)))|z))&e)
((y|n)>(g>e))
1
1
0
0
entailment
((y&q)&c)
((((g|e)&y)|~(e))|c)
1
0
0
0
entailment
(((z|e)&(~(~((b>z)))|z))&e)
((((g|e)&y)|~(e))|c)
0
1
0
0
not entailment
((y&q)&c)
((y|n)>(g>e))
0
0
0
0
not entailment
(n|n)
(~(~((n|(y>(n|b)))))|~(((~(q)&z)>b)))
1
0
0
0
entailment
(c>~(((e&~(z))>n)))
(~(c)|(n>z))
1
1
1
0
entailment
(n|n)
(~(c)|(n>z))
0
0
0
0
not entailment
(c>~(((e&~(z))>n)))
(~(~((n|(y>(n|b)))))|~(((~(q)&z)>b)))
0
0
0
0
not entailment
~(~((b&y)))
(~(~((~(~((y|y)))&(n>z))))|y)
1
0
0
0
entailment
~((((n>g)|t)|(q>t)))
(e>n)
1
1
0
0
entailment
~(~((b&y)))
(e>n)
0
1
0
0
not entailment
~((((n>g)|t)|(q>t)))
(~(~((~(~((y|y)))&(n>z))))|y)
0
0
0
0
not entailment
~(~((b&(((g>((b&c)|b))|c)&e))))
((~((c>~(q)))&(g>q))>((n&q)>((q>b)|g)))
1
0
0
0
entailment
~(~(((((y>c)|y)&(q&y))|(~((e&b))&y))))
(c>~(~((g>y))))
1
1
0
0
entailment
~(~((b&(((g>((b&c)|b))|c)&e))))
(c>~(~((g>y))))
0
1
0
0
not entailment
~(~(((((y>c)|y)&(q&y))|(~((e&b))&y))))
((~((c>~(q)))&(g>q))>((n&q)>((q>b)|g)))
0
1
0
0
not entailment
~(((~((c>z))>(y|z))>(c>((t|n)|(t&c)))))
(((t&(e|(t>g)))>z)&(~(b)|(b|t)))
1
1
0
0
entailment
(((q|q)|~(c))&y)
(c>(g|q))
1
1
0
0
entailment
~(((~((c>z))>(y|z))>(c>((t|n)|(t&c)))))
(c>(g|q))
0
1
0
0
not entailment
(((q|q)|~(c))&y)
(((t&(e|(t>g)))>z)&(~(b)|(b|t)))
0
0
0
0
not entailment
~((~(~(((c&g)|n)))|~(q)))
((((z|~(~((n&g))))&n)>c)|(t|g))
1
0
0
0
entailment
~(~(e))
(e|~((((b|t)&y)&q)))
1
0
0
0
entailment
~((~(~(((c&g)|n)))|~(q)))
(e|~((((b|t)&y)&q)))
0
1
0
0
not entailment
~(~(e))
((((z|~(~((n&g))))&n)>c)|(t|g))
0
0
0
0
not entailment
~(~(~(~((n&g)))))
(((g>z)>z)|(~(c)|b))
1
1
0
0
entailment
~((((t&y)|((b>q)>q))>(y|e)))
(((n>q)|((b>~(e))|~(n)))|q)
1
1
0
0
entailment
~(~(~(~((n&g)))))
(((n>q)|((b>~(e))|~(n)))|q)
0
0
0
0
not entailment
~((((t&y)|((b>q)>q))>(y|e)))
(((g>z)>z)|(~(c)|b))
0
1
0
0
not entailment
(b&~(((n&(n&b))&~((g&t)))))
~((~(b)&((q|(q>b))|((~(y)|g)&t))))
1
0
0
0
entailment
~((~(~(~((g&n))))|(~(z)&g)))
((~(g)>(n&g))|(z|t))
1
1
0
0
entailment
(b&~(((n&(n&b))&~((g&t)))))
((~(g)>(n&g))|(z|t))
0
1
0
0
not entailment
~((~(~(~((g&n))))|(~(z)&g)))
~((~(b)&((q|(q>b))|((~(y)|g)&t))))
0
0
0
0
not entailment
~((~(~((y|b)))|(c|q)))
~((g&(b&c)))
1
1
0
0
entailment
~((e|((z|n)|q)))
(~(((c>(t&n))&n))>~((e&g)))
1
0
0
0
entailment
~((~(~((y|b)))|(c|q)))
(~(((c>(t&n))&n))>~((e&g)))
0
0
0
0
not entailment
~((e|((z|n)|q)))
~((g&(b&c)))
0
1
0
0
not entailment
~((~(g)>t))
(((t&z)>c)|(n&b))
1
0
0
0
entailment
(((q&(c|n))&(e&z))|~(((g&~(g))>e)))
(((~(q)>g)>~(q))>y)
1
1
0
0
entailment