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
(((((t>h)|n)|t)&j)&(n|t))
(((h&h)>(h|(j>n)))>n)
0
1
1
0
not entailment
(t&((t&j)|(h>n)))
(~(t)>(h>(h>n)))
1
1
1
1
entailment
((n>t)&~(~(j)))
(j&((((n|(t&t))>t)|j)|(j|~(~(n)))))
1
0
1
0
entailment
(t&((t&j)|(h>n)))
(j&((((n|(t&t))>t)|j)|(j|~(~(n)))))
0
0
1
0
not entailment
((n>t)&~(~(j)))
(~(t)>(h>(h>n)))
0
1
0
0
not entailment
(h|(h&n))
((t|t)|((j|h)|((n>j)>n)))
1
0
0
0
entailment
~((((j|h)|(((n&~(h))|n)|(j|j)))|t))
~(((~((h>n))|(~(j)>h))|(t|(j|t))))
1
1
1
0
entailment
(h|(h&n))
~(((~((h>n))|(~(j)>h))|(t|(j|t))))
0
0
0
0
not entailment
~((((j|h)|(((n&~(h))|n)|(j|j)))|t))
((t|t)|((j|h)|((n>j)>n)))
0
1
1
0
not entailment
((n>j)&n)
(((~(t)&((h&(t>h))>((n>n)|n)))>t)|j)
1
0
0
0
entailment
~((t|~(~(~((h>~(n)))))))
~((((n&t)&(j|t))&(j>((h|(t|j))|n))))
1
0
0
0
entailment
((n>j)&n)
~((((n&t)&(j|t))&(j>((h|(t|j))|n))))
0
0
0
0
not entailment
~((t|~(~(~((h>~(n)))))))
(((~(t)&((h&(t>h))>((n>n)|n)))>t)|j)
0
0
0
0
not entailment
(h&~(((t|(h|n))>~(t))))
((n>t)|h)
1
1
1
0
entailment
((n&(j>j))&((j|j)>(n>~(n))))
((j>n)&n)
1
1
1
1
entailment
(h&~(((t|(h|n))>~(t))))
((j>n)&n)
0
1
0
0
not entailment
((n&(j>j))&((j|j)>(n>~(n))))
((n>t)|h)
0
1
0
0
not entailment
(((~(n)&~(h))>(t>~(n)))&((h|j)&(h>j)))
(~(((j>~(n))>n))|((n>t)|j))
1
1
1
0
entailment
(~((t|t))&(h>~((n>t))))
(~(((t&h)>n))>n)
1
1
1
1
entailment
(((~(n)&~(h))>(t>~(n)))&((h|j)&(h>j)))
(~(((t&h)>n))>n)
0
1
1
1
not entailment
(~((t|t))&(h>~((n>t))))
(~(((j>~(n))>n))|((n>t)|j))
0
0
0
0
not entailment
(j&~((h&~(~(~(h))))))
(j|((~(t)>((n|(j&t))&h))&t))
1
0
0
0
entailment
(~(j)&n)
(h>n)
1
1
0
0
entailment
(j&~((h&~(~(~(h))))))
(h>n)
0
1
0
0
not entailment
(~(j)&n)
(j|((~(t)>((n|(j&t))&h))&t))
0
0
0
0
not entailment
~(~((((s|(j&(s&(w>j))))|s)&~((u>l)))))
(u|((s|j)|((s|l)>n)))
1
1
0
0
entailment
~((~((((j|n)|(w&j))|j))>~((d&l))))
~((~(l)|j))
1
1
1
1
entailment
~(~((((s|(j&(s&(w>j))))|s)&~((u>l)))))
~((~(l)|j))
0
1
1
0
not entailment
~((~((((j|n)|(w&j))|j))>~((d&l))))
(u|((s|j)|((s|l)>n)))
0
1
0
0
not entailment
(u&n)
(((j&(((u>u)>j)>f))|n)&n)
1
0
0
0
entailment
~((~(((d&u)|(u>s)))>((j|n)|((j|l)&f))))
(n>(l&((w|n)|l)))
1
1
0
0
entailment
(u&n)
(n>(l&((w|n)|l)))
0
0
0
0
not entailment
~((~(((d&u)|(u>s)))>((j|n)|((j|l)&f))))
(((j&(((u>u)>j)>f))|n)&n)
0
1
1
0
not entailment
((s|(n&~(~(j))))&n)
(((f>n)|(s>l))|((l|~(w))|n))
1
0
0
0
entailment
(w>~((d|(d|~(f)))))
~((~(f)&w))
1
1
1
1
entailment
((s|(n&~(~(j))))&n)
~((~(f)&w))
0
1
0
0
not entailment
(w>~((d|(d|~(f)))))
(((f>n)|(s>l))|((l|~(w))|n))
0
0
0
0
not entailment
(((~(~(w))|f)|(f&d))&(n|~(d)))
~((~((d>n))&((~(n)&(n&n))>~((l>s)))))
1
0
0
0
entailment
(~(f)&(u&j))
(~(w)|((n>n)&u))
1
0
0
0
entailment
(((~(~(w))|f)|(f&d))&(n|~(d)))
(~(w)|((n>n)&u))
0
1
0
0
not entailment
(~(f)&(u&j))
~((~((d>n))&((~(n)&(n&n))>~((l>s)))))
0
0
0
0
not entailment
~(d)
(((w>w)|w)&(((f>l)|(d>(j|w)))|(n|w)))
1
0
0
0
entailment
~((n|u))
~((u|u))
1
1
1
1
entailment
~(d)
~((u|u))
0
0
0
0
not entailment
~((n|u))
(((w>w)|w)&(((f>l)|(d>(j|w)))|(n|w)))
0
0
0
0
not entailment
(w&(s>~(n)))
((w|(~(~(d))|d))|(l>((s>l)&(s|s))))
1
0
0
0
entailment
(f&(s>d))
((f|n)|~(((j&~(j))>(d|u))))
1
0
0
0
entailment
(w&(s>~(n)))
((f|n)|~(((j&~(j))>(d|u))))
0
0
0
0
not entailment
(f&(s>d))
((w|(~(~(d))|d))|(l>((s>l)&(s|s))))
0
0
0
0
not entailment
~((s>((w|n)>u)))
((((d>j)&(d|w))>j)>s)
1
0
0
0
entailment
((~((u|l))>((n>l)>(f>j)))&(d&(d&f)))
(~((d>((l|(~(n)|f))&(u&n))))|d)
1
1
1
0
entailment
~((s>((w|n)>u)))
(~((d>((l|(~(n)|f))&(u&n))))|d)
0
0
0
0
not entailment
((~((u|l))>((n>l)>(f>j)))&(d&(d&f)))
((((d>j)&(d|w))>j)>s)
0
1
0
0
not entailment
(~(u)&((n&l)|((n&f)&u)))
((~(j)&d)|(~(l)>(n&(~(l)|n))))
1
0
0
0
entailment
((n>f)&w)
((n>f)&(((j&~(n))&u)|w))
1
0
0
0
entailment
(~(u)&((n&l)|((n&f)&u)))
((n>f)&(((j&~(n))&u)|w))
0
1
0
0
not entailment
((n>f)&w)
((~(j)&d)|(~(l)>(n&(~(l)|n))))
0
0
0
0
not entailment
((j&~((w&w)))>w)
((((n|f)>s)>(u>w))|(l|~((j&s))))
1
0
0
0
entailment
(~((j>~(d)))&~(((d&n)>l)))
((d&((j|l)|d))&(((l>s)>~(~(w)))|(l|j)))
1
0
0
0
entailment
((j&~((w&w)))>w)
((d&((j|l)|d))&(((l>s)>~(~(w)))|(l|j)))
0
0
0
0
not entailment
(~((j>~(d)))&~(((d&n)>l)))
((((n|f)>s)>(u>w))|(l|~((j&s))))
0
0
0
0
not entailment
(l|l)
(~(~((f>l)))|(j>~((n>d))))
1
0
0
0
entailment
~((l|((((u|j)&l)&~((f>n)))|(n|w))))
(s|((j&l)>(n&l)))
1
1
0
0
entailment
(l|l)
(s|((j&l)>(n&l)))
0
0
0
0
not entailment
~((l|((((u|j)&l)&~((f>n)))|(n|w))))
(~(~((f>l)))|(j>~((n>d))))
0
1
0
0
not entailment
(u&s)
~(~((~((((s|j)|s)|((u&l)&d)))>w)))
1
0
0
0
entailment
(u>(d&(~(~(((s|s)&(w|f))))&~((s|u)))))
(~((u>(s&w)))>~(((w>f)>n)))
1
1
0
0
entailment
(u&s)
(~((u>(s&w)))>~(((w>f)>n)))
0
0
0
0
not entailment
(u>(d&(~(~(((s|s)&(w|f))))&~((s|u)))))
~(~((~((((s|j)|s)|((u&l)&d)))>w)))
0
1
0
0
not entailment
((~(l)&(d>j))|~((((j|d)|(n>s))>l)))
(((s|f)&((l>(~((n>s))&d))&f))|(f>(w&l)))
1
0
0
0
entailment
((j&(s&j))&((d|w)>(j|w)))
~(~((((j|f)&(~((w>f))|s))&(l|j))))
1
0
0
0
entailment
((~(l)&(d>j))|~((((j|d)|(n>s))>l)))
~(~((((j|f)&(~((w>f))|s))&(l|j))))
0
1
0
0
not entailment
((j&(s&j))&((d|w)>(j|w)))
(((s|f)&((l>(~((n>s))&d))&f))|(f>(w&l)))
0
0
0
0
not entailment
~((((w&l)&w)>~(((f&d)&f))))
(s|d)
1
1
0
0
entailment
~((n|~(((l|(l|~(j)))>(j&u)))))
(n>j)
1
1
1
1
entailment
~((((w&l)&w)>~(((f&d)&f))))
(n>j)
0
1
0
0
not entailment
~((n|~(((l|(l|~(j)))>(j&u)))))
(s|d)
0
1
0
0
not entailment
~(~(~((~(((s&f)>(x|g)))>((g|s)&g)))))
(((f|f)|f)&(f|(g>f)))
1
1
1
1
entailment
((f|g)&(~((g&(f&(x&g))))&((x|x)&~(s))))
~(~(((~(s)|f)>(s>g))))
1
1
1
0
entailment
~(~(~((~(((s&f)>(x|g)))>((g|s)&g)))))
~(~(((~(s)|f)>(s>g))))
0
1
1
0
not entailment
((f|g)&(~((g&(f&(x&g))))&((x|x)&~(s))))
(((f|f)|f)&(f|(g>f)))
0
1
1
1
not entailment
((x|~(f))&(s&f))
(x|~(((g>x)&~(g))))
1
0
0
0
entailment
~(((g&~(~((s>s))))|x))
~((x&((x&f)|~(~(~((s&g)))))))
1
0
0
0
entailment
((x|~(f))&(s&f))
~((x&((x&f)|~(~(~((s&g)))))))
0
0
0
0
not entailment
~(((g&~(~((s>s))))|x))
(x|~(((g>x)&~(g))))
0
1
1
0
not entailment
(((x&g)|~((x>f)))&(x>x))
(x&((x|(x>f))>x))
1
1
1
1
entailment
(f|f)
(((g>f)|(x&f))|s)
1
0
0
0
entailment
(((x&g)|~((x>f)))&(x>x))
(((g>f)|(x&f))|s)
0
1
0
0
not entailment
(f|f)
(x&((x|(x>f))>x))
0
0
0
0
not entailment
((f&x)&g)
((((g>(x>g))&f)|s)>(x&g))
1
0
0
0
entailment
((f|s)&s)
~(~(((x>s)&s)))
1
0
0
0
entailment
((f&x)&g)
~(~(((x>s)&s)))
0
0
0
0
not entailment
((f|s)&s)
((((g>(x>g))&f)|s)>(x&g))
0
0
0
0
not entailment
~((((g>x)&f)|~((g&((s>f)&s)))))
~(~((s|((g>x)&~(~(f))))))
1
1
1
0
entailment
(((((x>f)|(f&s))&s)|x)&~((f|s)))
(((g&f)|~(x))>~(((g&f)>s)))
1
1
0
0
entailment
~((((g>x)&f)|~((g&((s>f)&s)))))
(((g&f)|~(x))>~(((g&f)>s)))
0
1
1
0
not entailment
(((((x>f)|(f&s))&s)|x)&~((f|s)))
~(~((s|((g>x)&~(~(f))))))
0
1
0
0
not entailment
(~((g&g))|~(g))
((~(g)&x)|(f|~((f|~((x|~(g)))))))
1
0
0
0
entailment
(g&((~(s)&s)|(g>(~(f)&((~(x)&g)>s)))))
~(((~(x)&(s|f))&((x|s)>(~(x)&x))))
1
1
1
0
entailment
(~((g&g))|~(g))
~(((~(x)&(s|f))&((x|s)>(~(x)&x))))
0
0
0
0
not entailment