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&i))|l)&(i&g))
(l>((j>f)>i))
1
1
0
0
entailment
((w>(w&((w>w)&~(f))))>((w>f)&o))
(l>((j>f)>i))
0
1
0
0
not entailment
((~((j&i))|l)&(i&g))
(~(((w&~(f))&(g|g)))|l)
0
0
0
0
not entailment
((~((j>j))|(i>(l|(l&l))))&~(~(i)))
(l|(g&l))
1
1
0
0
entailment
~(((o&o)>f))
(((f|~(f))&w)|o)
1
0
0
0
entailment
((~((j>j))|(i>(l|(l&l))))&~(~(i)))
(((f|~(f))&w)|o)
0
1
0
0
not entailment
~(((o&o)>f))
(l|(g&l))
0
1
0
0
not entailment
~(i)
(~((o&i))|~(o))
1
0
0
0
entailment
~((((i|(i>j))&(i>~(g)))|~((i|j))))
(o>(((((g|g)&w)|((l&o)|(j>w)))>i)>i))
1
1
0
0
entailment
~(i)
(o>(((((g|g)&w)|((l&o)|(j>w)))>i)>i))
0
0
0
0
not entailment
~((((i|(i>j))&(i>~(g)))|~((i|j))))
(~((o&i))|~(o))
0
1
0
0
not entailment
(~(l)&~((g>((g&(o>f))|~(o)))))
~(((o|w)&~(((~(j)|g)&(o>g)))))
1
1
0
0
entailment
(w&~(j))
(~(j)|(f&g))
1
0
0
0
entailment
(~(l)&~((g>((g&(o>f))|~(o)))))
(~(j)|(f&g))
0
1
0
0
not entailment
(w&~(j))
~(((o|w)&~(((~(j)|g)&(o>g)))))
0
0
0
0
not entailment
(w>(f&l))
(~(~((w&w)))>l)
1
0
1
1
entailment
((f&(g|(f|((f&w)|g))))&(~(i)>(g&l)))
((~((f|f))&((o&j)>j))>~(i))
1
1
0
0
entailment
(w>(f&l))
((~((f|f))&((o&j)>j))>~(i))
0
0
0
0
not entailment
((f&(g|(f|((f&w)|g))))&(~(i)>(g&l)))
(~(~((w&w)))>l)
0
1
1
0
not entailment
(w&~(~((((l|~(j))&i)&(o>o)))))
((w|g)|g)
1
1
0
0
entailment
((w>f)&~(f))
(~(((o&o)&(f&(o&w))))|(j&(w|i)))
1
0
0
0
entailment
(w&~(~((((l|~(j))&i)&(o>o)))))
(~(((o&o)&(f&(o&w))))|(j&(w|i)))
0
1
0
0
not entailment
((w>f)&~(f))
((w|g)|g)
0
1
0
0
not entailment
~(((j&~((f|((j&o)|f))))>~(~(i))))
(l>~(((~(f)|((o|o)>l))&~(((l&j)|w)))))
1
0
0
0
entailment
~((w|~(g)))
(g|(~((j|w))|f))
1
0
0
0
entailment
~(((j&~((f|((j&o)|f))))>~(~(i))))
(g|(~((j|w))|f))
0
1
0
0
not entailment
~((w|~(g)))
(l>~(((~(f)|((o|o)>l))&~(((l&j)|w)))))
0
0
0
0
not entailment
~((((g|(i&j))|(g|f))>((i>(j|f))>(w|g))))
((w|g)>f)
1
1
1
1
entailment
~((~((~((w>(w&o)))|(w|o)))|(o>l)))
((w&o)|(l>~(((w&o)|l))))
1
1
1
1
entailment
~((((g|(i&j))|(g|f))>((i>(j|f))>(w|g))))
((w&o)|(l>~(((w&o)|l))))
0
1
0
0
not entailment
~((~((~((w>(w&o)))|(w|o)))|(o>l)))
((w|g)>f)
0
1
0
0
not entailment
~(((o|((g>g)|((f|w)&l)))>g))
(((w>o)&i)|(g>((j>w)&(l>w))))
1
1
0
0
entailment
((j|o)&f)
((((i|l)&(l>l))>(w>j))|~(~((f|l))))
1
0
0
0
entailment
~(((o|((g>g)|((f|w)&l)))>g))
((((i|l)&(l>l))>(w>j))|~(~((f|l))))
0
0
0
0
not entailment
((j|o)&f)
(((w>o)&i)|(g>((j>w)&(l>w))))
0
0
0
0
not entailment
((f|(f>f))&((f>f)&(f&((f|s)|e))))
((f|(s>f))>f)
1
1
1
1
entailment
(((s|s)>e)&(e|e))
((~(e)>s)|~((s|~(s))))
1
0
1
0
entailment
((f|(f>f))&((f>f)&(f&((f|s)|e))))
((~(e)>s)|~((s|~(s))))
0
1
1
0
not entailment
(((s|s)>e)&(e|e))
((f|(s>f))>f)
0
1
0
0
not entailment
((~(e)&~(~((~(e)&f))))&f)
(f&f)
1
1
1
1
entailment
~((e>~(s)))
(((e>e)&s)|e)
1
1
1
0
entailment
((~(e)&~(~((~(e)&f))))&f)
(((e>e)&s)|e)
0
1
0
0
not entailment
~((e>~(s)))
(f&f)
0
1
0
0
not entailment
(f|f)
(~((~(s)>f))>f)
1
0
0
0
entailment
((e&(e|(e&f)))|e)
((((s|((s|e)>f))>e)&~(~((e|e))))&e)
1
0
0
0
entailment
(f|f)
((((s|((s|e)>f))>e)&~(~((e|e))))&e)
0
0
0
0
not entailment
((e&(e|(e&f)))|e)
(~((~(s)>f))>f)
0
1
0
0
not entailment
~(~(f))
(((~(s)>~(e))>f)>(f&(~(~(e))>e)))
1
0
0
0
entailment
~(s)
~(((s&s)&e))
1
0
0
0
entailment
~(~(f))
~(((s&s)&e))
0
0
0
0
not entailment
~(s)
(((~(s)>~(e))>f)>(f&(~(~(e))>e)))
0
0
0
0
not entailment
(f&(((s&f)|f)>(e|s)))
~(~(((~((f>s))&f)>(f&e))))
1
0
1
1
entailment
~((~((~((f>s))>(f&e)))>(f>s)))
(~(s)&(f|(s|s)))
1
1
1
0
entailment
(f&(((s&f)|f)>(e|s)))
(~(s)&(f|(s|s)))
0
1
1
1
not entailment
~((~((~((f>s))>(f&e)))>(f>s)))
~(~(((~((f>s))&f)>(f&e))))
0
1
1
0
not entailment
(((s|s)>e)&(~(((e|f)&(s&~(~(f)))))&f))
(s>(e&f))
1
1
1
1
entailment
((~(~(e))&(s|s))&e)
((~((s|f))|e)&(f|((e&e)&s)))
1
0
0
0
entailment
(((s|s)>e)&(~(((e|f)&(s&~(~(f)))))&f))
((~((s|f))|e)&(f|((e&e)&s)))
0
1
1
0
not entailment
((~(~(e))&(s|s))&e)
(s>(e&f))
0
1
0
0
not entailment
((((e>s)&f)|((s>s)>s))|s)
((f|(s|s))|~(~((e|e))))
1
1
1
0
entailment
((s|~((f&s)))>~(e))
~((~(e)>e))
1
1
1
1
entailment
((((e>s)&f)|((s>s)>s))|s)
~((~(e)>e))
0
1
1
1
not entailment
((s|~((f&s)))>~(e))
((f|(s|s))|~(~((e|e))))
0
0
1
0
not entailment
((~(~(((f>(s>f))>e)))|((f>(e>f))>s))>s)
~(~(((e|((((f>f)>(s|f))&e)&s))>(s|f))))
1
1
1
1
entailment
((f>(e>f))>e)
(((~(e)&((f|s)>(f>(s&s))))&s)>~(f))
1
0
0
0
entailment
((~(~(((f>(s>f))>e)))|((f>(e>f))>s))>s)
(((~(e)&((f|s)>(f>(s&s))))&s)>~(f))
0
1
1
0
not entailment
((f>(e>f))>e)
~(~(((e|((((f>f)>(s|f))&e)&s))>(s|f))))
0
0
0
0
not entailment
~(~(~(f)))
~(f)
1
1
1
1
entailment
((s&(s&f))|(e&(e>e)))
(((e|f)&s)|(s|((~((e>(s|f)))&(e>f))|e)))
1
0
1
0
entailment
~(~(~(f)))
(((e|f)&s)|(s|((~((e>(s|f)))&(e>f))|e)))
0
0
0
0
not entailment
((s&(s&f))|(e&(e>e)))
~(f)
0
1
1
0
not entailment
~(((f|s)|(s|e)))
((f&(~(e)&~((s&e))))|(e>(e>(s|s))))
1
0
1
0
entailment
(e&(s>e))
((s|e)|~(((f>e)|s)))
1
0
0
0
entailment
~(((f|s)|(s|e)))
((s|e)|~(((f>e)|s)))
0
0
1
0
not entailment
(e&(s>e))
((f&(~(e)&~((s&e))))|(e>(e>(s|s))))
0
0
0
0
not entailment
(s&(~(f)&(~((s&f))&((((f|f)|e)>s)>e))))
~((e>(~(~(f))|~(((s>s)|s)))))
1
1
1
1
entailment
(f|~((~(f)|~(f))))
(((s|f)&(f>(f|(s>e))))>f)
1
0
0
0
entailment
(s&(~(f)&(~((s&f))&((((f|f)|e)>s)>e))))
(((s|f)&(f>(f|(s>e))))>f)
0
1
1
0
not entailment
(f|~((~(f)|~(f))))
~((e>(~(~(f))|~(((s>s)|s)))))
0
0
0
0
not entailment
((~((s&f))>(s&e))&(s>f))
((s|(s>~(e)))&(s|e))
1
1
1
0
entailment
(~(~((~(s)&((e>f)|e))))&~(((e|s)|s)))
((s&f)>~((e&(e&s))))
1
1
1
0
entailment
((~((s&f))>(s&e))&(s>f))
((s&f)>~((e&(e&s))))
0
1
1
0
not entailment
(~(~((~(s)&((e>f)|e))))&~(((e|s)|s)))
((s|(s>~(e)))&(s|e))
0
1
1
0
not entailment
((s>f)&s)
~(~(((e>s)|(f|f))))
1
0
0
0
entailment
(e&(((~(s)&s)>e)>~(f)))
~(((s&f)&((e&e)>s)))
1
1
1
1
entailment
((s>f)&s)
~(((s&f)&((e&e)>s)))
0
0
0
0
not entailment
(e&(((~(s)&s)>e)>~(f)))
~(~(((e>s)|(f|f))))
0
1
1
0
not entailment
(~((f|f))|(~((((s|s)|(e|f))>f))&s))
(((e|(s|~((f|f))))|(((f&s)>(e|e))>e))|e)
1
0
1
0
entailment
~((f>s))
(f&f)
1
1
1
1
entailment
(~((f|f))|(~((((s|s)|(e|f))>f))&s))
(f&f)
0
1
1
1
not entailment
~((f>s))
(((e|(s|~((f|f))))|(((f&s)>(e|e))>e))|e)
0
0
0
0
not entailment
(((s>e)&f)&s)
((f>s)&s)
1
1
1
0
entailment
~(~(~(~(~(e)))))
~(((e&s)&((f&s)|s)))
1
1
0
0
entailment
(((s>e)&f)&s)
~(((e&s)&((f&s)|s)))
0
0
1
0
not entailment
~(~(~(~(~(e)))))
((f>s)&s)
0
1
0
0
not entailment
~((e>f))
((s>e)|~((e|f)))
1
0
0
0
entailment
((s>s)&(f|f))
((((s|~(((f&s)&e)))>(s|s))|f)|(s&(s&s)))
1
0
0
0
entailment
~((e>f))
((((s|~(((f&s)&e)))>(s|s))|f)|(s&(s&s)))
0
0
0
0
not entailment
((s>s)&(f|f))
((s>e)|~((e|f)))
0
0
0
0
not entailment
((((f>e)&e)>(s>f))&~(~(s)))
(((s|f)&e)>s)
1
1
1
0
entailment