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|n)>(((x|x)>~((s&n)))|(u>~(u)))))
((x&(n&x))|~(u))
1
1
1
0
entailment
(n>~((u|n)))
~(~((((x>s)>x)>(u>~((u&n))))))
1
0
0
0
entailment
~(((s|n)>(((x|x)>~((s&n)))|(u>~(u)))))
~(~((((x>s)>x)>(u>~((u&n))))))
0
1
1
0
not entailment
(n>~((u|n)))
((x&(n&x))|~(u))
0
0
0
0
not entailment
~(((~((x>(x>u)))&x)>n))
~((n&(s>(x|n))))
1
1
0
0
entailment
((((~(u)|s)>~((n&s)))&u)&(u>n))
(s>n)
1
1
1
1
entailment
~(((~((x>(x>u)))&x)>n))
(s>n)
0
1
0
0
not entailment
((((~(u)|s)>~((n&s)))&u)&(u>n))
~((n&(s>(x|n))))
0
1
0
0
not entailment
(~((s>m))&(((s>m)>x)|d))
(s&((w>(b|s))&~((x&m))))
1
1
0
0
entailment
~(((~((d>k))|m)>~(~(((k|s)|(f|b))))))
~(((w&b)&x))
1
1
0
0
entailment
(~((s>m))&(((s>m)>x)|d))
~(((w&b)&x))
0
1
0
0
not entailment
~(((~((d>k))|m)>~(~(((k|s)|(f|b))))))
(s&((w>(b|s))&~((x&m))))
0
1
0
0
not entailment
((((m&e)>(((j&e)>k)&e))|((f>m)>e))>x)
(((m&m)&(~((m&k))&(m|j)))>(x|k))
1
1
1
0
entailment
~(((f|b)&~(~(f))))
~(~((f>(b&f))))
1
1
1
0
entailment
((((m&e)>(((j&e)>k)&e))|((f>m)>e))>x)
~(~((f>(b&f))))
0
1
0
0
not entailment
~(((f|b)&~(~(f))))
(((m&m)&(~((m&k))&(m|j)))>(x|k))
0
0
0
0
not entailment
((x|d)>~(((d|f)|(x>(s&e)))))
((d|d)>((s&f)|k))
1
1
0
0
entailment
(w|d)
(((m&((d|e)>w))>(w&w))|j)
1
0
0
0
entailment
((x|d)>~(((d|f)|(x>(s&e)))))
(((m&((d|e)>w))>(w&w))|j)
0
1
0
0
not entailment
(w|d)
((d|d)>((s&f)|k))
0
0
0
0
not entailment
((e&k)&~(((e>e)&w)))
(~(d)>(k|d))
1
1
0
0
entailment
((k>j)>(j&x))
(e>(~((b&j))|((x>s)>x)))
1
0
0
0
entailment
((e&k)&~(((e>e)&w)))
(e>(~((b&j))|((x>s)>x)))
0
0
0
0
not entailment
((k>j)>(j&x))
(~(d)>(k|d))
0
1
0
0
not entailment
~(~((~(~(((e>f)|(e&(x&x)))))&(k&e))))
(((s&k)&s)|(k>(e|s)))
1
1
0
0
entailment
(((j&~((x>w)))&((k|b)|(e>e)))&~(m))
(f>((f|~(f))>~((j&w))))
1
1
0
0
entailment
~(~((~(~(((e>f)|(e&(x&x)))))&(k&e))))
(f>((f|~(f))>~((j&w))))
0
1
0
0
not entailment
(((j&~((x>w)))&((k|b)|(e>e)))&~(m))
(((s&k)&s)|(k>(e|s)))
0
1
0
0
not entailment
~(((j|f)|(b|f)))
(~(~(((f>s)&j)))>(~(~(m))&~(d)))
1
0
0
0
entailment
(b&e)
((e&(j|~(k)))|(e|j))
1
0
0
0
entailment
~(((j|f)|(b|f)))
((e&(j|~(k)))|(e|j))
0
0
0
0
not entailment
(b&e)
(~(~(((f>s)&j)))>(~(~(m))&~(d)))
0
0
0
0
not entailment
((d&(e|b))&~(((x|e)&~((j&s)))))
((~((w>(m>x)))>(e>(d>(j|j))))|(b&d))
1
0
0
0
entailment
((d|b)&e)
(e|((((s|d)|w)>(m>w))&~((b|(d&k)))))
1
0
0
0
entailment
((d&(e|b))&~(((x|e)&~((j&s)))))
(e|((((s|d)|w)>(m>w))&~((b|(d&k)))))
0
0
0
0
not entailment
((d|b)&e)
((~((w>(m>x)))>(e>(d>(j|j))))|(b&d))
0
0
0
0
not entailment
(((m&f)&~(d))&~(e))
~(d)
1
1
1
1
entailment
((f|((j>~(((w>b)>x)))>m))&~((e|k)))
(k>~(((w&w)&b)))
1
1
1
0
entailment
(((m&f)&~(d))&~(e))
(k>~(((w&w)&b)))
0
1
0
0
not entailment
((f|((j>~(((w>b)>x)))>m))&~((e|k)))
~(d)
0
1
0
0
not entailment
~(((f>(s&(b&x)))|k))
((k>((f|b)&((b>x)|f)))&f)
1
0
1
0
entailment
~((~(k)|~((~(s)&d))))
(s>~((((((k|j)|s)&b)>(b>d))|(d&~(m)))))
1
0
0
0
entailment
~(((f>(s&(b&x)))|k))
(s>~((((((k|j)|s)&b)>(b>d))|(d&~(m)))))
0
0
0
0
not entailment
~((~(k)|~((~(s)&d))))
((k>((f|b)&((b>x)|f)))&f)
0
1
0
0
not entailment
(w&((f&w)&d))
((~(f)&(b>k))>(m&e))
1
0
0
0
entailment
(e&(~(((~(b)>s)>m))&~(~((j|k)))))
((b>s)>~(m))
1
1
1
0
entailment
(w&((f&w)&d))
((b>s)>~(m))
0
1
0
0
not entailment
(e&(~(((~(b)>s)>m))&~(~((j|k)))))
((~(f)&(b>k))>(m&e))
0
1
0
0
not entailment
((s&x)>(m&(f&(((k&b)|x)&((x|m)|f)))))
((s>((f|w)&(e>f)))|((s>x)>~(d)))
1
1
0
0
entailment
~((d>(e|m)))
(~(((b>(m>f))>(~((b>s))&e)))|(m>j))
1
0
0
0
entailment
((s&x)>(m&(f&(((k&b)|x)&((x|m)|f)))))
(~(((b>(m>f))>(~((b>s))&e)))|(m>j))
0
1
0
0
not entailment
~((d>(e|m)))
((s>((f|w)&(e>f)))|((s>x)>~(d)))
0
0
0
0
not entailment
~((w>k))
(((d&w)>(~(d)>(j|(e|e))))&w)
1
0
0
0
entailment
(j&(j>f))
(j|(((s&k)&b)&((~(e)&x)>(s&s))))
1
0
0
0
entailment
~((w>k))
(j|(((s&k)&b)&((~(e)&x)>(s&s))))
0
0
0
0
not entailment
(j&(j>f))
(((d&w)>(~(d)>(j|(e|e))))&w)
0
0
0
0
not entailment
~(((k>s)|(j|~(((w&b)&x)))))
(x&k)
1
1
1
1
entailment
((k&d)&(~(f)|(j&e)))
(((~(e)&f)>((j|b)&d))|m)
1
0
0
0
entailment
~(((k>s)|(j|~(((w&b)&x)))))
(((~(e)&f)>((j|b)&d))|m)
0
1
0
0
not entailment
((k&d)&(~(f)|(j&e)))
(x&k)
0
1
0
0
not entailment
(~((w>k))&(j>(((e|(b&j))&x)>(d>m))))
(~(((k>x)>w))>x)
1
1
1
0
entailment
~((m>~(((e|x)>(~((e>b))>(j>j))))))
~(((w>((s&(w>e))&((e|m)|b)))&~(m)))
1
1
0
0
entailment
(~((w>k))&(j>(((e|(b&j))&x)>(d>m))))
~(((w>((s&(w>e))&((e|m)|b)))&~(m)))
0
1
0
0
not entailment
~((m>~(((e|x)>(~((e>b))>(j>j))))))
(~(((k>x)>w))>x)
0
1
0
0
not entailment
((w&e)&(w|x))
(f>e)
1
1
0
0
entailment
((j>w)>((j|(k|j))&k))
(~(s)>((d>(j|s))|k))
1
1
0
0
entailment
((w&e)&(w|x))
(~(s)>((d>(j|s))|k))
0
0
0
0
not entailment
((j>w)>((j|(k|j))&k))
(f>e)
0
1
0
0
not entailment
(j&~((b>~(e))))
((e&~(~(k)))|(x|(e&e)))
1
0
0
0
entailment
(((~((x|j))>(m|x))>(e&(d|(k&s))))&(k&d))
((s>(j&~(w)))>d)
1
1
0
0
entailment
(j&~((b>~(e))))
((s>(j&~(w)))>d)
0
1
0
0
not entailment
(((~((x|j))>(m|x))>(e&(d|(k&s))))&(k&d))
((e&~(~(k)))|(x|(e&e)))
0
1
1
0
not entailment
(w&(w>e))
~(~((((m>f)|((k|e)&(w|k)))|~((m&w)))))
1
0
0
0
entailment
~((e|(k|~(~(((m&(b|m))&b))))))
~((k&s))
1
1
0
0
entailment
(w&(w>e))
~((k&s))
0
1
0
0
not entailment
~((e|(k|~(~(((m&(b|m))&b))))))
~(~((((m>f)|((k|e)&(w|k)))|~((m&w)))))
0
0
0
0
not entailment
((d&b)|~(~(~(((b|e)>j)))))
((d|d)|(j>d))
1
1
1
1
entailment
(((e|f)>~((d&j)))&(~(e)&m))
((~(d)&~(m))>(x>s))
1
1
0
0
entailment
((d&b)|~(~(~(((b|e)>j)))))
((~(d)&~(m))>(x>s))
0
1
0
0
not entailment
(((e|f)>~((d&j)))&(~(e)&m))
((d|d)|(j>d))
0
1
1
0
not entailment
(((~(x)|s)|e)>b)
(s>((w|~(x))>(f|b)))
1
0
0
0
entailment
~(~(~(((j&(f|x))>b))))
(e|((k&(b|e))>j))
1
1
0
0
entailment
(((~(x)|s)|e)>b)
(e|((k&(b|e))>j))
0
1
0
0
not entailment
~(~(~(((j&(f|x))>b))))
(s>((w|~(x))>(f|b)))
0
1
0
0
not entailment
((f>(m>m))>((d&(j&x))&(d>f)))
(x|~((m>m)))
1
1
1
1
entailment
(w&((j>((j>x)>j))>b))
((((x&~(m))>k)|b)|((x&d)>(s&k)))
1
0
0
0
entailment
((f>(m>m))>((d&(j&x))&(d>f)))
((((x&~(m))>k)|b)|((x&d)>(s&k)))
0
0
0
0
not entailment
(w&((j>((j>x)>j))>b))
(x|~((m>m)))
0
1
0
0
not entailment
(e&((~(f)>w)&~((~(d)|j))))
~(~((s>((w&((m&m)>s))|(e&e)))))
1
0
0
0
entailment
(f>j)
(((x>m)&(s&f))>j)
1
0
0
0
entailment
(e&((~(f)>w)&~((~(d)|j))))
(((x>m)&(s&f))>j)
0
1
0
0
not entailment
(f>j)
~(~((s>((w&((m&m)>s))|(e&e)))))
0
0
0
0
not entailment
((((((m&k)>(~(m)>j))|s)>s)&w)&w)
(~((k&x))>s)
1
1
0
0
entailment
((m>(e|k))>~(~(~((b>(m>m))))))
((d&~(((~((f|(m&s)))&(j>k))>m)))>j)
1
0
0
0
entailment
((((((m&k)>(~(m)>j))|s)>s)&w)&w)
((d&~(((~((f|(m&s)))&(j>k))>m)))>j)
0
0
0
0
not entailment
((m>(e|k))>~(~(~((b>(m>m))))))
(~((k&x))>s)
0
1
0
0
not entailment
(e&(e>f))
((((x>((x|x)&m))&(e&f))|s)>(e|e))
1
0
0
0
entailment
((x&(j&(b>b)))&~(e))
((((e>d)&d)|(d|m))|j)
1
1
0
0
entailment
(e&(e>f))
((((e>d)&d)|(d|m))|j)
0
0
0
0
not entailment
((x&(j&(b>b)))&~(e))
((((x>((x|x)&m))&(e&f))|s)>(e|e))
0
0
0
0
not entailment