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
~(h)
(((q>(m&q))>(h|m))>~((h|h)))
1
0
0
0
entailment
(~((l>o))&(((h|h)>m)|~(m)))
(((q>(m&q))>(h|m))>~((h|h)))
0
1
0
0
not entailment
~(h)
~((~(~(~(~((q&(l|h))))))&o))
0
0
0
0
not entailment
~(~(((q|f)&l)))
(~(~(l))|l)
1
1
1
1
entailment
~(((((f&l)>l)|(q>o))&((o|(h|q))|f)))
(f>o)
1
1
1
0
entailment
~(~(((q|f)&l)))
(f>o)
0
1
0
0
not entailment
~(((((f&l)>l)|(q>o))&((o|(h|q))|f)))
(~(~(l))|l)
0
1
1
1
not entailment
((l&(m&f))&~((~((h>o))|h)))
(l&(~(~((m&h)))>(f|m)))
1
1
1
0
entailment
(((o&m)|(l>(~(m)>(m&l))))>~((f>m)))
~((m&(h|~(~((h|l))))))
1
1
0
0
entailment
((l&(m&f))&~((~((h>o))|h)))
~((m&(h|~(~((h|l))))))
0
1
1
0
not entailment
(((o&m)|(l>(~(m)>(m&l))))>~((f>m)))
(l&(~(~((m&h)))>(f|m)))
0
1
0
0
not entailment
~((f>h))
(~(l)>(h>((~((o>l))&f)>m)))
1
0
0
0
entailment
(((m|m)|(m>l))&(o&f))
((~(o)&l)>((~(m)>(q>l))>(q&(q&l))))
1
0
0
0
entailment
~((f>h))
((~(o)&l)>((~(m)>(q>l))>(q&(q&l))))
0
0
0
0
not entailment
(((m|m)|(m>l))&(o&f))
(~(l)>(h>((~((o>l))&f)>m)))
0
0
0
0
not entailment
~((~(((m>r)|l))>(l&(e|l))))
(~((r|l))>(m|(l&~((r|r)))))
1
1
1
0
entailment
~(~(~(((w>p)|m))))
((w&(p|(m&w)))>((e|(e|~(p)))|l))
1
0
0
0
entailment
~((~(((m>r)|l))>(l&(e|l))))
((w&(p|(m&w)))>((e|(e|~(p)))|l))
0
0
0
0
not entailment
~(~(~(((w>p)|m))))
(~((r|l))>(m|(l&~((r|r)))))
0
0
0
0
not entailment
~(~(((m>m)>r)))
((w|r)|~(~((((l&(m|e))&(m|w))>e))))
1
0
0
0
entailment
((~(e)&(m>m))&p)
(~(m)|((p|(p&((m|(w&p))>w)))|e))
1
0
0
0
entailment
~(~(((m>m)>r)))
(~(m)|((p|(p&((m|(w&p))>w)))|e))
0
0
0
0
not entailment
((~(e)&(m>m))&p)
((w|r)|~(~((((l&(m|e))&(m|w))>e))))
0
0
0
0
not entailment
((~(m)&l)&~((e&e)))
(~((((e>(m&(w&p)))&m)|m))|(m&~(w)))
1
0
0
0
entailment
(p&(w&l))
(r>w)
1
1
0
0
entailment
((~(m)&l)&~((e&e)))
(r>w)
0
1
0
0
not entailment
(p&(w&l))
(~((((e>(m&(w&p)))&m)|m))|(m&~(w)))
0
0
0
0
not entailment
(((((l>m)&(r&p))&~(l))>r)&(r&p))
~(~(((m>(~(w)|(r&(r>r))))|(e>r))))
1
0
0
0
entailment
(((r>l)>e)&w)
((~(m)>((~(l)>p)>w))>w)
1
0
0
0
entailment
(((((l>m)&(r&p))&~(l))>r)&(r&p))
((~(m)>((~(l)>p)>w))>w)
0
1
0
0
not entailment
(((r>l)>e)&w)
~(~(((m>(~(w)|(r&(r>r))))|(e>r))))
0
0
0
0
not entailment
(~(((p>(l|~(m)))|(m>(m&w))))&(~(e)>e))
((~((e&(w&m)))&m)|p)
1
1
1
0
entailment
~((~((w|e))>(r>((m|~(~(l)))&r))))
~(((l&e)|((r>l)|~((~(e)&~((e|e)))))))
1
0
1
1
entailment
(~(((p>(l|~(m)))|(m>(m&w))))&(~(e)>e))
~(((l&e)|((r>l)|~((~(e)&~((e|e)))))))
0
1
0
0
not entailment
~((~((w|e))>(r>((m|~(~(l)))&r))))
((~((e&(w&m)))&m)|p)
0
1
0
0
not entailment
(((r|m)|l)&e)
((e&e)|~(~((((w&e)|(p>m))>~(m)))))
1
0
0
0
entailment
((e|~((((m>(e|w))&e)&~(m))))>(m&~(e)))
((~(~(~(e)))|(m&m))|w)
1
1
1
1
entailment
(((r|m)|l)&e)
((~(~(~(e)))|(m&m))|w)
0
0
0
0
not entailment
((e|~((((m>(e|w))&e)&~(m))))>(m&~(e)))
((e&e)|~(~((((w&e)|(p>m))>~(m)))))
0
1
0
0
not entailment
(~((r>m))&l)
(~((r|r))>m)
1
1
1
0
entailment
(w&(~(e)>((e&r)>e)))
(((~(~(m))>l)>(l|r))>w)
1
0
0
0
entailment
(~((r>m))&l)
(((~(~(m))>l)>(l|r))>w)
0
0
0
0
not entailment
(w&(~(e)>((e&r)>e)))
(~((r|r))>m)
0
1
0
0
not entailment
(~((((p>(l&w))|l)|m))&((~(m)&e)&r))
~(~((((m|((m&m)&e))&((p>(r&p))>m))>e)))
1
0
1
0
entailment
~(((w&~((p>((l|l)&e))))>~(((p>r)>p))))
(((w|w)|w)|(~((w|w))>(w|m)))
1
1
0
0
entailment
(~((((p>(l&w))|l)|m))&((~(m)&e)&r))
(((w|w)|w)|(~((w|w))>(w|m)))
0
1
1
0
not entailment
~(((w&~((p>((l|l)&e))))>~(((p>r)>p))))
~(~((((m|((m&m)&e))&((p>(r&p))>m))>e)))
0
1
0
0
not entailment
~((((e|l)&(e>(r|r)))>~(e)))
(m>r)
1
1
0
0
entailment
~((m>(e&m)))
(((~(l)|l)&(~(e)&p))|(~(m)>w))
1
0
0
0
entailment
~((((e|l)&(e>(r|r)))>~(e)))
(((~(l)|l)&(~(e)&p))|(~(m)>w))
0
0
0
0
not entailment
~((m>(e&m)))
(m>r)
0
1
0
0
not entailment
((~(p)|(m&~(p)))>(p&p))
(((e>~((~(l)|(e&w))))>p)|(r&~(m)))
1
0
0
0
entailment
(l&~((~(~((w|p)))|r)))
~((~(l)&(e&((p&p)&m))))
1
1
0
0
entailment
((~(p)|(m&~(p)))>(p&p))
~((~(l)&(e&((p&p)&m))))
0
1
0
0
not entailment
(l&~((~(~((w|p)))|r)))
(((e>~((~(l)|(e&w))))>p)|(r&~(m)))
0
0
0
0
not entailment
~(~((~((w&(l|e)))&(((l>p)&m)>~(p)))))
((w|m)>((p>m)>((e|p)>m)))
1
1
1
0
entailment
(((l|p)&e)&(e>(((p|p)|r)>r)))
(l|(r&p))
1
1
1
1
entailment
~(~((~((w&(l|e)))&(((l>p)&m)>~(p)))))
(l|(r&p))
0
1
0
0
not entailment
(((l|p)&e)&(e>(((p|p)|r)>r)))
((w|m)>((p>m)>((e|p)>m)))
0
1
0
0
not entailment
~(((e>(m&((w&l)|r)))|(((w&m)&e)|(w|r))))
(r>(r>e))
1
1
1
1
entailment
(~(((w>e)|p))&r)
((~(~((e>p)))|(l&l))|~(~((e>r))))
1
0
0
0
entailment
~(((e>(m&((w&l)|r)))|(((w&m)&e)|(w|r))))
((~(~((e>p)))|(l&l))|~(~((e>r))))
0
1
0
0
not entailment
(~(((w>e)|p))&r)
(r>(r>e))
0
1
1
0
not entailment
~((~(r)|((p|e)&((e|e)>p))))
(w|(p>(w&(l&e))))
1
1
0
0
entailment
(~(((~(w)|m)&e))&p)
~((((~(~(e))>r)|(e|l))&~((~(e)|p))))
1
0
0
0
entailment
~((~(r)|((p|e)&((e|e)>p))))
~((((~(~(e))>r)|(e|l))&~((~(e)|p))))
0
0
0
0
not entailment
(~(((~(w)|m)&e))&p)
(w|(p>(w&(l&e))))
0
1
0
0
not entailment
((~((r>l))&l)|~((p|~(~((w&w))))))
(((w>p)&(((m>p)|(p&m))&p))>l)
1
1
0
0
entailment
(~((w|~(p)))&((p|l)|~(~((r|w)))))
(p|(((r&m)|r)>~((~((l|p))&(~(m)|w)))))
1
0
0
0
entailment
((~((r>l))&l)|~((p|~(~((w&w))))))
(p|(((r&m)|r)>~((~((l|p))&(~(m)|w)))))
0
0
0
0
not entailment
(~((w|~(p)))&((p|l)|~(~((r|w)))))
(((w>p)&(((m>p)|(p&m))&p))>l)
0
1
0
0
not entailment
(~(r)|(m&(((p&e)|(m|l))>~(r))))
(~((m|(r>~((m|w)))))>m)
1
1
0
0
entailment
(w&~((e&w)))
(e|w)
1
1
1
0
entailment
(~(r)|(m&(((p&e)|(m|l))>~(r))))
(e|w)
0
1
0
0
not entailment
(w&~((e&w)))
(~((m|(r>~((m|w)))))>m)
0
0
0
0
not entailment
(w>~((~(~(m))|(e|(m>r)))))
(w>~(~(~(((p>m)>((p&w)|~(r)))))))
1
0
0
0
entailment
(r&(w&(e&~(l))))
(w|((~((m>w))|(w>(e&e)))>~((w>p))))
1
0
0
0
entailment
(w>~((~(~(m))|(e|(m>r)))))
(w|((~((m>w))|(w>(e&e)))>~((w>p))))
0
0
0
0
not entailment
(r&(w&(e&~(l))))
(w>~(~(~(((p>m)>((p&w)|~(r)))))))
0
0
0
0
not entailment
((~(~(m))&(e&l))|~(p))
~(((~(e)&p)&(~(w)&m)))
1
1
0
0
entailment
(p&m)
((~(~(m))>w)|p)
1
0
0
0
entailment
((~(~(m))&(e&l))|~(p))
((~(~(m))>w)|p)
0
1
0
0
not entailment
(p&m)
~(((~(e)&p)&(~(w)&m)))
0
0
0
0
not entailment
((~(m)&(~((m|(p|m)))>~(l)))&(l&~(w)))
(~((w>l))>l)
1
1
1
1
entailment
~(~((w&((p|m)>~((~(e)>e))))))
((m|~(~((m&r))))|w)
1
1
0
0
entailment
((~(m)&(~((m|(p|m)))>~(l)))&(l&~(w)))
((m|~(~((m&r))))|w)
0
1
0
0
not entailment
~(~((w&((p|m)>~((~(e)>e))))))
(~((w>l))>l)
0
1
0
0
not entailment
((e&e)&g)
((j&(g>y))>(j&e))
1
0
0
0
entailment
((y&((e>y)>y))&(g&(j|g)))
~((((y&y)|(j|y))&~((((j&g)|e)>y))))
1
0
1
0
entailment
((e&e)&g)
~((((y&y)|(j|y))&~((((j&g)|e)>y))))
0
0
0
0
not entailment
((y&((e>y)>y))&(g&(j|g)))
((j&(g>y))>(j&e))
0
1
1
0
not entailment
((((e>(j&e))>(g>e))&~(j))&e)
(y|~((((y|j)>~(y))>j)))
1
1
0
0
entailment
~(((~(e)>(~((g&((y&g)>j)))>(y&g)))>e))
(~((g&g))>(y|j))
1
1
1
1
entailment
((((e>(j&e))>(g>e))&~(j))&e)
(~((g&g))>(y|j))
0
1
0
0
not entailment
~(((~(e)>(~((g&((y&g)>j)))>(y&g)))>e))
(y|~((((y|j)>~(y))>j)))
0
1
1
0
not entailment
((e>j)>g)
(~(~(e))|(((g>(g&e))|e)>((j|j)>(g&g))))
1
0
1
0
entailment
~(~(~(~((j&(g|y))))))
(j|y)
1
1
1
1
entailment
((e>j)>g)
(j|y)
0
1
0
0
not entailment
~(~(~(~((j&(g|y))))))
(~(~(e))|(((g>(g&e))|e)>((j|j)>(g&g))))
0
0
0
0
not entailment
(~((((y>j)>(e>j))>e))&((g|e)|y))
(e>(e&~(~(((g|y)&e)))))
1
1
1
1
entailment