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
(f&j)
((~(~(~(x)))|~((j&(f>(k>x)))))|(j>y))
0
0
0
0
not entailment
(~((((f&y)|((y>(~(k)|(k>y)))>j))|k))&x)
(((k|(j|y))>x)|((f&j)&(x&(y&(~(k)&f)))))
1
1
1
0
entailment
(j|j)
(((((j&(f|x))|y)&y)>f)|j)
1
0
0
0
entailment
(~((((f&y)|((y>(~(k)|(k>y)))>j))|k))&x)
(((((j&(f|x))|y)&y)>f)|j)
0
1
1
0
not entailment
(j|j)
(((k|(j|y))>x)|((f&j)&(x&(y&(~(k)&f)))))
0
0
0
0
not entailment
(f|f)
(~(~(((f|f)|~((x>(j|f))))))|k)
1
0
0
0
entailment
((k|x)&y)
(y|x)
1
1
1
1
entailment
(f|f)
(y|x)
0
1
0
0
not entailment
((k|x)&y)
(~(~(((f|f)|~((x>(j|f))))))|k)
0
0
0
0
not entailment
~(~((((j>f)&k)&(x&y))))
(k|((f&j)&j))
1
1
1
0
entailment
~((~(x)>~(~(j))))
~((j&f))
1
1
0
0
entailment
~(~((((j>f)&k)&(x&y))))
~((j&f))
0
1
1
0
not entailment
~((~(x)>~(~(j))))
(k|((f&j)&j))
0
1
0
0
not entailment
((y|x)&k)
((~(f)|(k>k))&(((~(x)|y)>y)|(~(f)>y)))
1
0
0
0
entailment
(~((f|(j>k)))&(f>j))
((k>((j&k)&k))>((k>x)&(x|(k|((k>y)|x)))))
1
0
0
0
entailment
((y|x)&k)
((k>((j&k)&k))>((k>x)&(x|(k|((k>y)|x)))))
0
0
0
0
not entailment
(~((f|(j>k)))&(f>j))
((~(f)|(k>k))&(((~(x)|y)>y)|(~(f)>y)))
0
0
0
0
not entailment
(x&j)
(~(f)>j)
1
0
0
0
entailment
(((f>j)&y)&(y&~((f&(y&y)))))
~(((y|y)>(f&f)))
1
1
1
1
entailment
(x&j)
~(((y|y)>(f&f)))
0
0
0
0
not entailment
(((f>j)&y)&(y&~((f&(y&y)))))
(~(f)>j)
0
1
1
0
not entailment
((f&j)&y)
(~(((x>((y&k)|j))|y))|f)
1
0
0
0
entailment
((x&~(k))&(j>(j|y)))
((((f>k)>k)>x)&((x&k)>((k>y)&~(k))))
1
0
0
0
entailment
((f&j)&y)
((((f>k)>k)>x)&((x&k)>((k>y)&~(k))))
0
0
0
0
not entailment
((x&~(k))&(j>(j|y)))
(~(((x>((y&k)|j))|y))|f)
0
0
0
0
not entailment
~((((j|y)|~(k))>~((x&k))))
(f>((k&f)|((k|y)|x)))
1
1
0
0
entailment
((((j>y)|k)|(j|f))>f)
~(((k|~(~(k)))&~(f)))
1
0
1
1
entailment
~((((j|y)|~(k))>~((x&k))))
~(((k|~(~(k)))&~(f)))
0
1
0
0
not entailment
((((j>y)|k)|(j|f))>f)
(f>((k&f)|((k|y)|x)))
0
1
0
0
not entailment
~((x>(k>f)))
~((f&(j|(y|f))))
1
0
0
0
entailment
~(~(((y&f)&(k&y))))
(((((k&j)&y)|j)&~(y))|(f&(j>(k|k))))
1
0
0
0
entailment
~((x>(k>f)))
(((((k&j)&y)|j)&~(y))|(f&(j>(k|k))))
0
0
0
0
not entailment
~(~(((y&f)&(k&y))))
~((f&(j|(y|f))))
0
1
0
0
not entailment
((k&x)&~(((y>f)>(k&~((j|(f|k)))))))
(((y>j)>f)|(y>x))
1
1
1
0
entailment
((~(j)>f)&(y&(f|((k|~(f))&y))))
(f|y)
1
1
1
1
entailment
((k&x)&~(((y>f)>(k&~((j|(f|k)))))))
(f|y)
0
1
1
0
not entailment
((~(j)>f)&(y&(f|((k|~(f))&y))))
(((y>j)>f)|(y>x))
0
1
0
0
not entailment
((~(~(~(~(~(x)))))&f)&y)
~(~(((~(y)&j)|y)))
1
1
0
0
entailment
~(((j&j)&(j|~(k))))
(j>(f>x))
1
1
0
0
entailment
((~(~(~(~(~(x)))))&f)&y)
(j>(f>x))
0
1
0
0
not entailment
~(((j&j)&(j|~(k))))
~(~(((~(y)&j)|y)))
0
1
0
0
not entailment
(((f|f)>(y>k))&~((~((y>k))>j)))
(~(f)>y)
1
1
1
0
entailment
(~(((j|f)&k))>((j&j)&(~(y)|k)))
(f|j)
1
1
1
1
entailment
(((f|f)>(y>k))&~((~((y>k))>j)))
(f|j)
0
1
1
0
not entailment
(~(((j|f)&k))>((j&j)&(~(y)|k)))
(~(f)>y)
0
1
1
0
not entailment
(y&(y|(j>j)))
(((~((j>y))|((y|~(j))&j))>~((k|k)))>y)
1
0
0
0
entailment
((~(k)>~((f&k)))>j)
(f|(((f|x)&((k&(j&j))|(f&x)))|(j|j)))
1
0
0
0
entailment
(y&(y|(j>j)))
(f|(((f|x)&((k&(j&j))|(f&x)))|(j|j)))
0
0
0
0
not entailment
((~(k)>~((f&k)))>j)
(((~((j>y))|((y|~(j))&j))>~((k|k)))>y)
0
0
0
0
not entailment
~(((l&(n|(c>(c&n))))>((c&j)>t)))
(c|((c>d)>~(t)))
1
1
0
0
entailment
((x|j)&~(((c>d)>d)))
(((d|l)>((x>d)&l))|(c>d))
1
0
0
0
entailment
~(((l&(n|(c>(c&n))))>((c&j)>t)))
(((d|l)>((x>d)&l))|(c>d))
0
1
0
0
not entailment
((x|j)&~(((c>d)>d)))
(c|((c>d)>~(t)))
0
1
0
0
not entailment
((d&d)&(((t&x)>~(d))&(y&x)))
(n|(x|l))
1
1
0
0
entailment
~((((j>y)>(c>((j|d)|(t>y))))|n))
(~((n|y))&c)
1
1
1
1
entailment
((d&d)&(((t&x)>~(d))&(y&x)))
(~((n|y))&c)
0
1
0
0
not entailment
~((((j>y)>(c>((j|d)|(t>y))))|n))
(n|(x|l))
0
1
0
0
not entailment
~((j|~((x|((l>y)>(y|(d&c)))))))
((~(~(y))>t)|(j>d))
1
1
0
0
entailment
((c&((l|d)&y))&(x&(j>n)))
(~(x)>~(((~((n|l))>~((x&j)))|(c|c))))
1
0
1
0
entailment
~((j|~((x|((l>y)>(y|(d&c)))))))
(~(x)>~(((~((n|l))>~((x&j)))|(c|c))))
0
0
0
0
not entailment
((c&((l|d)&y))&(x&(j>n)))
((~(~(y))>t)|(j>d))
0
1
0
0
not entailment
(~((d&x))>d)
(((x&t)|(d|c))|(d|l))
1
0
0
0
entailment
~(~(x))
((c|(x|c))|((n&c)&(~(x)>(c>t))))
1
0
0
0
entailment
(~((d&x))>d)
((c|(x|c))|((n&c)&(~(x)>(c>t))))
0
0
0
0
not entailment
~(~(x))
(((x&t)|(d|c))|(d|l))
0
0
0
0
not entailment
(((y&t)&c)&(~(c)>x))
((t|(n|d))>(t>(d>y)))
1
1
0
0
entailment
~(((~(d)|(c>~((t>t))))|((y>j)>n)))
((c|n)&d)
1
1
1
0
entailment
(((y&t)&c)&(~(c)>x))
((c|n)&d)
0
1
0
0
not entailment
~(((~(d)|(c>~((t>t))))|((y>j)>n)))
((t|(n|d))>(t>(d>y)))
0
1
1
0
not entailment
(l|(l&~(t)))
~((l>~((~((t&l))>(y>y)))))
1
0
0
0
entailment
~(((c>y)>x))
~(~(~(~(~((l&(c&x)))))))
1
0
0
0
entailment
(l|(l&~(t)))
~(~(~(~(~((l&(c&x)))))))
0
0
0
0
not entailment
~(((c>y)>x))
~((l>~((~((t&l))>(y>y)))))
0
0
0
0
not entailment
((n>d)&d)
(t|(~(d)>(x&j)))
1
0
0
0
entailment
(l|((y>(l>(x|n)))&(n>l)))
((~(~(((~(y)&j)|l)))|(x>~(n)))|(j&l))
1
0
0
0
entailment
((n>d)&d)
((~(~(((~(y)&j)|l)))|(x>~(n)))|(j&l))
0
0
0
0
not entailment
(l|((y>(l>(x|n)))&(n>l)))
(t|(~(d)>(x&j)))
0
1
0
0
not entailment
(x>l)
((l&(x|x))|(((x>~(x))|d)|(y|(x>c))))
1
0
0
0
entailment
(((l>d)|((d&y)|l))&~((x&~(t))))
(~(((x&(y|j))>c))|((t&(x|n))|(x>y)))
1
0
0
0
entailment
(x>l)
(~(((x&(y|j))>c))|((t&(x|n))|(x>y)))
0
0
0
0
not entailment
(((l>d)|((d&y)|l))&~((x&~(t))))
((l&(x|x))|(((x>~(x))|d)|(y|(x>c))))
0
0
0
0
not entailment
(c&(l&c))
((n&l)|(j|((n&y)|l)))
1
0
0
0
entailment
(l>d)
((l&n)>~((~(((d&n)&x))&~((c>(d&d))))))
1
0
0
0
entailment
(c&(l&c))
((l&n)>~((~(((d&n)&x))&~((c>(d&d))))))
0
0
0
0
not entailment
(l>d)
((n&l)|(j|((n&y)|l)))
0
0
0
0
not entailment
(~((((n>x)>y)>~(n)))&(j|(x&d)))
(~(n)>c)
1
1
0
0
entailment
(x>c)
~(((j&~(c))&(x&(n|x))))
1
0
0
0
entailment
(~((((n>x)>y)>~(n)))&(j|(x&d)))
~(((j&~(c))&(x&(n|x))))
0
1
0
0
not entailment
(x>c)
(~(n)>c)
0
0
0
0
not entailment
((d>d)>((n|~(~(~((x|(n>j))))))&x))
(~((x|d))>(t|(j>x)))
1
1
0
0
entailment
(((l>y)>(l>l))&~(((c>~(l))|(n|n))))
((~(c)&(j&(d>d)))>t)
1
1
0
0
entailment
((d>d)>((n|~(~(~((x|(n>j))))))&x))
((~(c)&(j&(d>d)))>t)
0
1
0
0
not entailment
(((l>y)>(l>l))&~(((c>~(l))|(n|n))))
(~((x|d))>(t|(j>x)))
0
1
0
0
not entailment
(n&(t>(j|~(l))))
(j|n)
1
1
1
1
entailment
(y|y)
(((d|y)|x)|l)
1
0
0
0
entailment
(n&(t>(j|~(l))))
(((d|y)|x)|l)
0
1
0
0
not entailment
(y|y)
(j|n)
0
1
0
0
not entailment
~(~(~(((n&c)>((l|t)&d)))))
(l>((x>(l>n))&(c&(c|(t|j)))))
1
1
0
0
entailment
(x&((~(c)|(t|j))>((n|j)&((l&n)&~(n)))))
(~(~(l))|(((y|c)>d)>x))
1
1
0
0
entailment
~(~(~(((n&c)>((l|t)&d)))))
(~(~(l))|(((y|c)>d)>x))
0
1
0
0
not entailment