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
(~((~((k|((f|m)|(f&(t>r)))))&e))>e)
((~(((q&e)&s))>s)>e)
1
1
0
0
entailment
(t&k)
((~(((q&e)&s))>s)>e)
0
0
0
0
not entailment
(~((~((k|((f|m)|(f&(t>r)))))&e))>e)
((k|(l&((t>(l&k))&t)))|(~(l)>t))
0
1
0
0
not entailment
((~((m|k))&l)&(((r>(t&e))|m)>s))
((l>m)>(e>~((k&(e&l)))))
1
1
1
0
entailment
~(~((~((e>(m&f)))&~(~((e|t))))))
(((~((s|q))|(k|f))&f)>e)
1
1
0
0
entailment
((~((m|k))&l)&(((r>(t&e))|m)>s))
(((~((s|q))|(k|f))&f)>e)
0
1
0
0
not entailment
~(~((~((e>(m&f)))&~(~((e|t))))))
((l>m)>(e>~((k&(e&l)))))
0
1
0
0
not entailment
(e&~(((l|m)|(((~(t)>~(s))|~(s))>f))))
(((~(~(r))&~((e&m)))&l)|~((r&l)))
1
1
0
0
entailment
((f&l)|~((s>(q>e))))
((l|q)|((r|(r&((f|s)&~((q>e)))))&(m|l)))
1
0
0
0
entailment
(e&~(((l|m)|(((~(t)>~(s))|~(s))>f))))
((l|q)|((r|(r&((f|s)&~((q>e)))))&(m|l)))
0
1
0
0
not entailment
((f&l)|~((s>(q>e))))
(((~(~(r))&~((e&m)))&l)|~((r&l)))
0
0
0
0
not entailment
~(((k&e)>((l>k)&l)))
(~((~(f)|(m&q)))|(t>k))
1
0
0
0
entailment
~(~(((t&m)&(m>s))))
(s|q)
1
1
0
0
entailment
~(((k&e)>((l>k)&l)))
(s|q)
0
1
0
0
not entailment
~(~(((t&m)&(m>s))))
(~((~(f)|(m&q)))|(t>k))
0
0
0
0
not entailment
(s&(m&s))
((m>(m>f))>(((t|e)&s)>(m|m)))
1
0
0
0
entailment
(~(~(~((~(k)|r))))&(q&(~(k)>k)))
(((m&~(f))|(~(s)>m))>(~(k)>~((m&q))))
1
0
0
0
entailment
(s&(m&s))
(((m&~(f))|(~(s)>m))>(~(k)>~((m&q))))
0
0
0
0
not entailment
(~(~(~((~(k)|r))))&(q&(~(k)>k)))
((m>(m>f))>(((t|e)&s)>(m|m)))
0
1
0
0
not entailment
((r&(s>~((s&t))))&(e&m))
(((f|r)|~((((s|f)&r)|r)))>(f>r))
1
0
0
0
entailment
~(((r|(r|t))|((~(~(f))&((l|m)|k))&f)))
(m>((s>e)>(t>((k>~((m>f)))&l))))
1
1
0
0
entailment
((r&(s>~((s&t))))&(e&m))
(m>((s>e)>(t>((k>~((m>f)))&l))))
0
0
0
0
not entailment
~(((r|(r|t))|((~(~(f))&((l|m)|k))&f)))
(((f|r)|~((((s|f)&r)|r)))>(f>r))
0
1
0
0
not entailment
~((m>(f|((s|(m&f))&~(k)))))
(e|(m|((k>((~(l)>t)|~(e)))>r)))
1
0
0
0
entailment
~(~(~(((k&s)>((r>(l&f))>~(k))))))
~(((f|t)&(~(s)&~(~(q)))))
1
1
0
0
entailment
~((m>(f|((s|(m&f))&~(k)))))
~(((f|t)&(~(s)&~(~(q)))))
0
1
0
0
not entailment
~(~(~(((k&s)>((r>(l&f))>~(k))))))
(e|(m|((k>((~(l)>t)|~(e)))>r)))
0
1
0
0
not entailment
((~((l>e))|q)&(t&s))
(f>t)
1
1
0
0
entailment
((f>s)>f)
((s>f)|f)
1
1
1
1
entailment
((~((l>e))|q)&(t&s))
((s>f)|f)
0
1
0
0
not entailment
((f>s)>f)
(f>t)
0
1
0
0
not entailment
(~((m|s))&(k|e))
(((t>l)>((r&(k&m))|~((m&m))))|(k>f))
1
0
0
0
entailment
(q&s)
(e>(q|t))
1
0
0
0
entailment
(~((m|s))&(k|e))
(e>(q|t))
0
1
0
0
not entailment
(q&s)
(((t>l)>((r&(k&m))|~((m&m))))|(k>f))
0
0
0
0
not entailment
~(((k|(f|l))|t))
(t>e)
1
1
0
0
entailment
(q&s)
(~(((((r&(l>k))>e)|(r|e))|(r|l)))|q)
1
0
0
0
entailment
~(((k|(f|l))|t))
(~(((((r&(l>k))>e)|(r|e))|(r|l)))|q)
0
0
0
0
not entailment
(q&s)
(t>e)
0
1
0
0
not entailment
(((l&m)>e)>~(~(m)))
(m|((r|(m|s))>(f&(~(k)>(k&r)))))
1
0
0
0
entailment
(s&t)
(~((t&t))>(((m>k)&q)|(~((l>~(e)))&r)))
1
0
0
0
entailment
(((l&m)>e)>~(~(m)))
(~((t&t))>(((m>k)&q)|(~((l>~(e)))&r)))
0
0
0
0
not entailment
(s&t)
(m|((r|(m|s))>(f&(~(k)>(k&r)))))
0
0
0
0
not entailment
(r>~((r>(t>(k|r)))))
~((r|((r>k)&(~(r)>r))))
1
0
1
1
entailment
((q&(q|(q&t)))&(((s>f)|r)|(q>l)))
((l>k)>(q|k))
1
1
0
0
entailment
(r>~((r>(t>(k|r)))))
((l>k)>(q|k))
0
1
0
0
not entailment
((q&(q|(q&t)))&(((s>f)|r)|(q>l)))
~((r|((r>k)&(~(r)>r))))
0
1
0
0
not entailment
(e&t)
((~(~((r>((e&m)|s))))&~((f|t)))|(m|t))
1
0
0
0
entailment
(((s>l)>(l|k))&r)
(s|(r|~(t)))
1
1
0
0
entailment
(e&t)
(s|(r|~(t)))
0
0
0
0
not entailment
(((s>l)>(l|k))&r)
((~(~((r>((e&m)|s))))&~((f|t)))|(m|t))
0
0
0
0
not entailment
(~(~(~(~(r))))&(q&m))
((~((t>r))&t)>~(((s&k)>(~(f)>t))))
1
0
0
0
entailment
~((q|(~(~(f))>((q|k)|r))))
((~(k)|((e&k)>~(e)))|(s&(k&(m|m))))
1
0
0
0
entailment
(~(~(~(~(r))))&(q&m))
((~(k)|((e&k)>~(e)))|(s&(k&(m|m))))
0
0
0
0
not entailment
~((q|(~(~(f))>((q|k)|r))))
((~((t>r))&t)>~(((s&k)>(~(f)>t))))
0
0
0
0
not entailment
~(~((l&q)))
~(~((e|q)))
1
1
0
0
entailment
(((t&(f|m))>k)&(r|r))
((k>(k|q))>(r|f))
1
1
0
0
entailment
~(~((l&q)))
((k>(k|q))>(r|f))
0
0
0
0
not entailment
(((t&(f|m))>k)&(r|r))
~(~((e|q)))
0
1
0
0
not entailment
~(~(~(((q>s)|~(~((s&s)))))))
(~(~(~(t)))>(l|q))
1
1
0
0
entailment
~((l|~((~(((~(m)&f)&~(s)))|t))))
(((r&l)>(t>e))|~((f>(l|f))))
1
1
0
0
entailment
~(~(~(((q>s)|~(~((s&s)))))))
(((r&l)>(t>e))|~((f>(l|f))))
0
1
0
0
not entailment
~((l|~((~(((~(m)&f)&~(s)))|t))))
(~(~(~(t)))>(l|q))
0
1
0
0
not entailment
(q|((m|(q>f))>q))
((q|m)|k)
1
1
0
0
entailment
(e&((q|t)&t))
(((m>e)|(l|~((f>l))))|e)
1
0
0
0
entailment
(q|((m|(q>f))>q))
(((m>e)|(l|~((f>l))))|e)
0
0
0
0
not entailment
(e&((q|t)&t))
((q|m)|k)
0
1
0
0
not entailment
~(((k>~((l|e)))|(((l&f)|l)>q)))
(~(((f>r)|l))>(~((t>(q>k)))>l))
1
1
0
0
entailment
(m&(s&e))
((s&k)|m)
1
1
0
0
entailment
~(((k>~((l|e)))|(((l&f)|l)>q)))
((s&k)|m)
0
1
0
0
not entailment
(m&(s&e))
(~(((f>r)|l))>(~((t>(q>k)))>l))
0
0
0
0
not entailment
((f>g)&(~(m)>(g>m)))
(f>m)
1
1
1
1
entailment
((((f>m)&(f&f))|(~((f&m))>g))&(g>f))
(~((~((m&~((m>f))))|g))>~(m))
1
1
1
0
entailment
((f>g)&(~(m)>(g>m)))
(~((~((m&~((m>f))))|g))>~(m))
0
0
1
0
not entailment
((((f>m)&(f&f))|(~((f&m))>g))&(g>f))
(f>m)
0
1
1
1
not entailment
(g&m)
((m&(f>m))>g)
1
0
0
0
entailment
(~(g)&~((f&(m&m))))
((m&g)>((g|m)>f))
1
1
1
0
entailment
(g&m)
((m&g)>((g|m)>f))
0
0
0
0
not entailment
(~(g)&~((f&(m&m))))
((m&(f>m))>g)
0
1
1
0
not entailment
(((m&f)&(f>f))|m)
((g&~(m))>(m|(f&(m&g))))
1
0
0
0
entailment
(~(~((f>(f|g))))&(f&g))
((m&(f&m))>g)
1
1
0
0
entailment
(((m&f)&(f>f))|m)
((m&(f&m))>g)
0
1
0
0
not entailment
(~(~((f>(f|g))))&(f&g))
((g&~(m))>(m|(f&(m&g))))
0
1
0
0
not entailment
((~((m|(f>m)))|(~(f)|~(~(m))))&m)
((g>(g&(f>m)))>(g>m))
1
1
0
0
entailment
(((m&m)>m)&~((f|m)))
((m&g)>~(g))
1
1
0
0
entailment
((~((m|(f>m)))|(~(f)|~(~(m))))&m)
((m&g)>~(g))
0
1
0
0
not entailment
(((m&m)>m)&~((f|m)))
((g>(g&(f>m)))>(g>m))
0
1
0
0
not entailment
(m&m)
((g&~(f))>((g>m)&(g|~((f&f)))))
1
0
0
0
entailment
(((m&m)>m)>g)
(((m>g)>m)>((m&g)|g))
1
0
1
1
entailment
(m&m)
(((m>g)>m)>((m&g)|g))
0
0
0
0
not entailment
(((m&m)>m)>g)
((g&~(f))>((g>m)&(g|~((f&f)))))
0
0
0
0
not entailment
((g&m)&(f>g))
(f|g)
1
1
1
0
entailment
~(((m|~(((~(f)|f)&~(g))))|(m&f)))
((f&f)>~(((m&m)|(g&g))))
1
1
1
1
entailment
((g&m)&(f>g))
((f&f)>~(((m&m)|(g&g))))
0
0
1
0
not entailment
~(((m|~(((~(f)|f)&~(g))))|(m&f)))
(f|g)
0
1
1
0
not entailment
~(~(~(~((m&m)))))
(f|m)
1
1
0
0
entailment
~(~((g|(g&g))))
((g>g)>((g|(f&~(m)))|(g|f)))
1
0
0
0
entailment
~(~(~(~((m&m)))))
((g>g)>((g|(f&~(m)))|(g|f)))
0
0
0
0
not entailment
~(~((g|(g&g))))
(f|m)
0
1
0
0
not entailment
~((f|(f|(g|m))))
((g>g)&((f&g)|(f>m)))
1
0
1
0
entailment