Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files 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
(((m>a)&~(~((e&a))))&~(~(e)))
(e|a)
1
1
1
1
entailment
~(e)
(m|((m>~(a))>~((m|e))))
1
0
0
0
entailment
(((m>a)&~(~((e&a))))&~(~(e)))
(m|((m>~(a))>~((m|e))))
0
1
1
0
not entailment
~(e)
(e|a)
0
1
0
0
not entailment
((e&m)&a)
((~((((a>(m>e))|m)>e))>(e&a))&(m>e))
1
0
1
0
entailment
~((m&(m&(m>(e|(a>m))))))
((m&e)>(a>~((a>m))))
1
1
1
0
entailment
((e&m)&a)
((m&e)>(a>~((a>m))))
0
0
1
0
not entailment
~((m&(m&(m>(e|(a>m))))))
((~((((a>(m>e))|m)>e))>(e&a))&(m>e))
0
0
1
0
not entailment
((e|m)&(m&a))
((~((e&e))|a)>(a>m))
1
0
1
0
entailment
(~((e>~((a&a))))&(m>m))
((((m|e)&(e&a))>((a>m)>m))&e)
1
0
1
0
entailment
((e|m)&(m&a))
((((m|e)&(e&a))>((a>m)>m))&e)
0
0
1
0
not entailment
(~((e>~((a&a))))&(m>m))
((~((e&e))|a)>(a>m))
0
1
1
0
not entailment
~(((~(e)|(a|a))&((e&(e&a))>(e>m))))
((a|((m|e)>e))|((m|(e&(e>m)))&(m>a)))
1
1
1
0
entailment
((a|~(a))>~(~(~((m>e)))))
((a|(a&~(m)))>m)
1
1
1
1
entailment
~(((~(e)|(a|a))&((e&(e&a))>(e>m))))
((a|(a&~(m)))>m)
0
1
1
0
not entailment
((a|~(a))>~(~(~((m>e)))))
((a|((m|e)>e))|((m|(e&(e>m)))&(m>a)))
0
0
1
0
not entailment
((~(e)>(((e&e)|m)&(e>e)))>((~(e)|e)&a))
(((m&(m>m))|a)>a)
1
1
1
0
entailment
(~(((((a>a)|m)|a)&a))&e)
((~((a&m))&e)|~((((e>m)>m)&m)))
1
0
1
0
entailment
((~(e)>(((e&e)|m)&(e>e)))>((~(e)|e)&a))
((~((a&m))&e)|~((((e>m)>m)&m)))
0
1
1
0
not entailment
(~(((((a>a)|m)|a)&a))&e)
(((m&(m>m))|a)>a)
0
1
1
0
not entailment
((a>m)&~((m|~(~(a)))))
(~(~(((e|a)|a)))>e)
1
1
0
0
entailment
(~((m|m))&a)
(a&(((m|a)>a)|(a&(a&a))))
1
0
1
0
entailment
((a>m)&~((m|~(~(a)))))
(a&(((m|a)>a)|(a&(a&a))))
0
1
1
0
not entailment
(~((m|m))&a)
(~(~(((e|a)|a)))>e)
0
0
0
0
not entailment
(m>~((a>(m|e))))
((a&a)|~((m&((e&(m>m))&~((m&a))))))
1
0
1
0
entailment
((e&m)&e)
((e|(~(~(m))>~(e)))&(e|(m|a)))
1
0
0
0
entailment
(m>~((a>(m|e))))
((e|(~(~(m))>~(e)))&(e|(m|a)))
0
0
1
0
not entailment
((e&m)&e)
((a&a)|~((m&((e&(m>m))&~((m&a))))))
0
0
0
0
not entailment
~(~(a))
((((a|m)|((m|e)&e))&e)|(e|a))
1
0
0
0
entailment
~(a)
~(((a>(m&a))&((a|(a|a))&m)))
1
0
0
0
entailment
~(~(a))
~(((a>(m&a))&((a|(a|a))&m)))
0
0
0
0
not entailment
~(a)
((((a|m)|((m|e)&e))&e)|(e|a))
0
0
0
0
not entailment
(p&j)
(((j&r)|~(s))|(b>j))
1
0
0
0
entailment
(b|b)
((s&(g|j))>(b|b))
1
0
0
0
entailment
(p&j)
((s&(g|j))>(b|b))
0
0
0
0
not entailment
(b|b)
(((j&r)|~(s))|(b>j))
0
0
0
0
not entailment
(j&((~((p|b))>((r|r)|~(b)))>b))
((b|g)|r)
1
1
0
0
entailment
(~(~(~((b|p))))|(g&(r&((j&(j|j))|g))))
~((~((j>(b>(b&(g|r)))))&t))
1
1
0
0
entailment
(j&((~((p|b))>((r|r)|~(b)))>b))
~((~((j>(b>(b&(g|r)))))&t))
0
1
0
0
not entailment
(~(~(~((b|p))))|(g&(r&((j&(j|j))|g))))
((b|g)|r)
0
1
1
0
not entailment
~(~(((t&g)&(t>s))))
((((((t>j)&t)&g)>s)|s)|~(p))
1
0
0
0
entailment
~(((~(s)>(~(~(r))|p))>~(r)))
(j|r)
1
1
0
0
entailment
~(~(((t&g)&(t>s))))
(j|r)
0
1
0
0
not entailment
~(((~(s)>(~(~(r))|p))>~(r)))
((((((t>j)&t)&g)>s)|s)|~(p))
0
1
0
0
not entailment
((~((b&r))>p)&(~(s)&r))
(~(~((~(s)&(~(t)>(j>(~(g)>j))))))|g)
1
0
0
0
entailment
((~(((r&p)>s))>(s>b))&~(j))
~((j&(t|~(((r&((j&~(p))>p))&g)))))
1
0
0
0
entailment
((~((b&r))>p)&(~(s)&r))
~((j&(t|~(((r&((j&~(p))>p))&g)))))
0
0
0
0
not entailment
((~(((r&p)>s))>(s>b))&~(j))
(~(~((~(s)&(~(t)>(j>(~(g)>j))))))|g)
0
0
0
0
not entailment
~((((t>r)>~(r))>(s|((j&b)&(t|b)))))
(r>((g>p)|~((~(t)|((t&p)>p)))))
1
1
0
0
entailment
(s&g)
((r|s)&g)
1
0
0
0
entailment
~((((t>r)>~(r))>(s|((j&b)&(t|b)))))
((r|s)&g)
0
1
0
0
not entailment
(s&g)
(r>((g>p)|~((~(t)|((t&p)>p)))))
0
0
0
0
not entailment
(~(g)|((p&s)&b))
((b&p)>(b&(g>(~(p)|s))))
1
0
1
0
entailment
((j&(r&g))&((b|t)>g))
(((j|s)>((p&j)|g))|(s&~(((j>r)>(t|b)))))
1
0
0
0
entailment
(~(g)|((p&s)&b))
(((j|s)>((p&j)|g))|(s&~(((j>r)>(t|b)))))
0
0
0
0
not entailment
((j&(r&g))&((b|t)>g))
((b&p)>(b&(g>(~(p)|s))))
0
0
0
0
not entailment
(j&~((t|s)))
(p>((r>(j|t))|t))
1
0
0
0
entailment
~((((~(t)>s)>((s&b)>(j|t)))|g))
((g>j)>(b|t))
1
1
1
0
entailment
(j&~((t|s)))
((g>j)>(b|t))
0
1
0
0
not entailment
~((((~(t)>s)>((s&b)>(j|t)))|g))
(p>((r>(j|t))|t))
0
1
0
0
not entailment
(p&s)
((p|((~(p)>(b&~(j)))&p))&(s&p))
1
0
0
0
entailment
((t|((r|(g&b))>p))&~(j))
~(~(((g&t)>~(j))))
1
1
1
0
entailment
(p&s)
~(~(((g&t)>~(j))))
0
0
0
0
not entailment
((t|((r|(g&b))>p))&~(j))
((p|((~(p)>(b&~(j)))&p))&(s&p))
0
0
0
0
not entailment
(~(p)>~(~(p)))
(t>p)
1
1
0
0
entailment
~(r)
(b|(r>g))
1
0
0
0
entailment
(~(p)>~(~(p)))
(b|(r>g))
0
1
0
0
not entailment
~(r)
(t>p)
0
1
0
0
not entailment
~(((p&g)>((((p&s)&b)|((s&(p&g))&t))|b)))
(~((t|t))>(~((r&p))>~((g&~(p)))))
1
1
0
0
entailment
((t>b)&j)
(~((~((r|r))|((s&r)|b)))>~((t&r)))
1
0
0
0
entailment
~(((p&g)>((((p&s)&b)|((s&(p&g))&t))|b)))
(~((~((r|r))|((s&r)|b)))>~((t&r)))
0
1
0
0
not entailment
((t>b)&j)
(~((t|t))>(~((r&p))>~((g&~(p)))))
0
0
0
0
not entailment
~((t>j))
((s|~(((t&t)|r)))|t)
1
0
0
0
entailment
~((((r>~(p))>(r>(r&r)))&~((j|j))))
((g|((b&t)|j))|(~(s)>g))
1
1
0
0
entailment
~((t>j))
((g|((b&t)|j))|(~(s)>g))
0
0
0
0
not entailment
~((((r>~(p))>(r>(r&r)))&~((j|j))))
((s|~(((t&t)|r)))|t)
0
1
0
0
not entailment
(j&((j>s)&~((g|p))))
((p|s)|(g|~(t)))
1
1
0
0
entailment
~(((s|~(r))|~(j)))
((g|(t|(p&p)))>(s>~(~(((t&(j&r))>g)))))
1
0
0
0
entailment
(j&((j>s)&~((g|p))))
((g|(t|(p&p)))>(s>~(~(((t&(j&r))>g)))))
0
0
0
0
not entailment
~(((s|~(r))|~(j)))
((p|s)|(g|~(t)))
0
1
0
0
not entailment
(r&(t>s))
(r|p)
1
1
0
0
entailment
~(((b>r)|~(~(s))))
(((((b|(s&p))&(j&s))>(t&s))>((r>p)>t))|b)
1
0
0
0
entailment
(r&(t>s))
(((((b|(s&p))&(j&s))>(t&s))>((r>p)>t))|b)
0
0
0
0
not entailment
~(((b>r)|~(~(s))))
(r|p)
0
1
0
0
not entailment
((((b&b)>t)|t)&t)
(s|(~(r)>t))
1
1
0
0
entailment
~(((b>r)>s))
(((j&~(g))>~((b|b)))|(g|~(s)))
1
0
0
0
entailment
((((b&b)>t)|t)&t)
(((j&~(g))>~((b|b)))|(g|~(s)))
0
0
0
0
not entailment
~(((b>r)>s))
(s|(~(r)>t))
0
1
0
0
not entailment
(s&(p|~(s)))
~(~(p))
1
1
1
1
entailment
(((~(p)>~(j))&g)&(g&s))
~(((s&~(j))&~(g)))
1
1
1
0
entailment
(s&(p|~(s)))
~(((s&~(j))&~(g)))
0
0
0
0
not entailment
(((~(p)>~(j))&g)&(g&s))
~(~(p))
0
1
1
1
not entailment
(~(((g|r)>(j>((r&p)>g))))&(t&t))
((g>b)&p)
1
1
0
0
entailment
(g&s)
~(~((j>(~((p>b))>g))))
1
0
0
0
entailment
(~(((g|r)>(j>((r&p)>g))))&(t&t))
~(~((j>(~((p>b))>g))))
0
1
0
0
not entailment
(g&s)
((g>b)&p)
0
0
0
0
not entailment
(t&g)
(g|b)
1
1
0
0
entailment
~(((~(((r&j)|(~(b)&r)))>(r|r))>g))
(((b&r)&~(~((t&g))))>((s&p)&p))
1
1
0
0
entailment
(t&g)
(((b&r)&~(~((t&g))))>((s&p)&p))
0
0
0
0
not entailment
~(((~(((r&j)|(~(b)&r)))>(r|r))>g))
(g|b)
0
1
1
0
not entailment