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
((p&e)&e)
~(~(((p&(k&e))>~(e))))
0
0
0
0
not entailment
~((e|((~(~(((e>(p|p))&k)))>(d&p))|e)))
(d|e)
0
1
1
0
not entailment
(((((d|~(a))|a)>p)>p)&e)
(e|p)
1
1
1
1
entailment
(~(((e|d)&(d|a)))&~((a|~(((e|d)>e)))))
~(~((((a&e)&((e&a)&k))>~(e))))
1
1
0
0
entailment
(((((d|~(a))|a)>p)>p)&e)
~(~((((a&e)&((e&a)&k))>~(e))))
0
0
0
0
not entailment
(~(((e|d)&(d|a)))&~((a|~(((e|d)>e)))))
(e|p)
0
1
0
0
not entailment
((a&~(((e|p)&k)))&(~((e|k))>(a>d)))
(~(((a|d)&p))>~((p&(~(e)&((a|k)|a)))))
1
0
1
0
entailment
((k|k)|(((p>e)&p)&~(~((e>(k|k))))))
(((((a|d)&k)>a)>(d&d))|(k|k))
1
1
0
0
entailment
((a&~(((e|p)&k)))&(~((e|k))>(a>d)))
(((((a|d)&k)>a)>(d&d))|(k|k))
0
1
1
1
not entailment
((k|k)|(((p>e)&p)&~(~((e>(k|k))))))
(~(((a|d)&p))>~((p&(~(e)&((a|k)|a)))))
0
0
0
0
not entailment
~((~((k&k))|(d&p)))
(k|(~(~(a))|~(d)))
1
1
0
0
entailment
~((((d|a)>k)|a))
~((((k>(a>d))|~((d>p)))&(a&a)))
1
0
0
0
entailment
~((~((k&k))|(d&p)))
~((((k>(a>d))|~((d>p)))&(a&a)))
0
0
0
0
not entailment
~((((d|a)>k)|a))
(k|(~(~(a))|~(d)))
0
0
1
0
not entailment
(k&(~(~(d))>a))
((e|~(k))>(((d&p)&e)>(d>a)))
1
0
0
0
entailment
(d&e)
(~(~(e))&e)
1
0
1
1
entailment
(k&(~(~(d))>a))
(~(~(e))&e)
0
1
0
0
not entailment
(d&e)
((e|~(k))>(((d&p)&e)>(d>a)))
0
0
0
0
not entailment
(~((k>d))|~(~(((k>(k&k))&((k&k)&p)))))
(k|(e|(p&k)))
1
1
0
0
entailment
~((d>k))
((~(k)>~(p))>((k&(e&e))|d))
1
0
0
0
entailment
(~((k>d))|~(~(((k>(k&k))&((k&k)&p)))))
((~(k)>~(p))>((k&(e&e))|d))
0
1
0
0
not entailment
~((d>k))
(k|(e|(p&k)))
0
0
0
0
not entailment
~((((~((~(d)&(k>e)))&d)|k)>(d>(k>e))))
(k|k)
1
1
1
1
entailment
((~(p)|(k>(k&p)))&~(((k|(~(p)|a))&k)))
(~((~(k)>~((p>a))))|p)
1
1
1
0
entailment
~((((~((~(d)&(k>e)))&d)|k)>(d>(k>e))))
(~((~(k)>~((p>a))))|p)
0
1
0
0
not entailment
((~(p)|(k>(k&p)))&~(((k|(~(p)|a))&k)))
(k|k)
0
1
1
1
not entailment
~((a|(e|~(~(d)))))
(a>(((a>k)|p)|((k&a)&(~(d)|k))))
1
0
0
0
entailment
(~((a>~(a)))|~((e|(~(~(d))>p))))
(a|(p>~(k)))
1
1
0
0
entailment
~((a|(e|~(~(d)))))
(a|(p>~(k)))
0
1
0
0
not entailment
(~((a>~(a)))|~((e|(~(~(d))>p))))
(a>(((a>k)|p)|((k&a)&(~(d)|k))))
0
1
0
0
not entailment
(~((~(~((z|d)))>(t>z)))&c)
((d&d)|e)
1
1
0
0
entailment
((z>(~(d)&z))&~(~((((~(e)|z)&e)|z))))
(~(((t|t)&e))|z)
1
1
0
0
entailment
(~((~(~((z|d)))>(t>z)))&c)
(~(((t|t)&e))|z)
0
1
0
0
not entailment
((z>(~(d)&z))&~(~((((~(e)|z)&e)|z))))
((d&d)|e)
0
1
1
0
not entailment
~(((d&d)>z))
(~(((~(z)&~((c>e)))&(d|t)))|d)
1
0
0
0
entailment
(d>z)
(~(((t>(d>(c|e)))|((d>d)&z)))>c)
1
0
0
0
entailment
~(((d&d)>z))
(~(((t>(d>(c|e)))|((d>d)&z)))>c)
0
0
0
0
not entailment
(d>z)
(~(((~(z)&~((c>e)))&(d|t)))|d)
0
0
0
0
not entailment
(((t&e)&z)|(~(t)&e))
((t>(z>(e>z)))>((~((t>(e&z)))>e)>(e|e)))
1
0
1
0
entailment
~((d|(c>(z>((z>z)&(t&c))))))
((z&((e>d)|(z>c)))|(e>(z|(z&d))))
1
0
0
0
entailment
(((t&e)&z)|(~(t)&e))
((z&((e>d)|(z>c)))|(e>(z|(z&d))))
0
0
0
0
not entailment
~((d|(c>(z>((z>z)&(t&c))))))
((t>(z>(e>z)))>((~((t>(e&z)))>e)>(e|e)))
0
0
0
0
not entailment
(t&e)
(t|(c&((((t&c)&z)&t)|(d|d))))
1
0
0
0
entailment
~((((t>(t|e))|t)>z))
~((d&((z&e)&c)))
1
1
0
0
entailment
(t&e)
~((d&((z&e)&c)))
0
0
0
0
not entailment
~((((t>(t|e))|t)>z))
(t|(c&((((t&c)&z)&t)|(d|d))))
0
0
0
0
not entailment
((t>c)&(~((d>t))&e))
(d>e)
1
1
1
0
entailment
(~((c|((d&t)|c)))&z)
((~((z|(z>c)))|(~((e&d))|t))|~(c))
1
0
0
0
entailment
((t>c)&(~((d>t))&e))
((~((z|(z>c)))|(~((e&d))|t))|~(c))
0
0
0
0
not entailment
(~((c|((d&t)|c)))&z)
(d>e)
0
1
0
0
not entailment
(e|(c>(c>~(c))))
(e|((c&t)>e))
1
1
0
0
entailment
~(~(((~(z)>~((c&((d>e)&c))))&~(e))))
(e>~((t|~(~((c&e))))))
1
1
0
0
entailment
(e|(c>(c>~(c))))
(e>~((t|~(~((c&e))))))
0
0
0
0
not entailment
~(~(((~(z)>~((c&((d>e)&c))))&~(e))))
(e|((c&t)>e))
0
1
0
0
not entailment
(z&c)
(((c>z)|e)|~((d|(t|t))))
1
0
0
0
entailment
((t&(e>(z|(z&t))))|(d&t))
(~((z&e))|~((~((d>(z>t)))|~(t))))
1
0
1
0
entailment
(z&c)
(~((z&e))|~((~((d>(z>t)))|~(t))))
0
0
0
0
not entailment
((t&(e>(z|(z&t))))|(d&t))
(((c>z)|e)|~((d|(t|t))))
0
1
0
0
not entailment
((d&c)&((e|t)|(t>c)))
(((d&d)|~(~(~(c))))>(((z&d)|e)>c))
1
0
0
0
entailment
((e>e)>t)
(e|t)
1
1
1
1
entailment
((d&c)&((e|t)|(t>c)))
(e|t)
0
1
1
1
not entailment
((e>e)>t)
(((d&d)|~(~(~(c))))>(((z&d)|e)>c))
0
0
0
0
not entailment
(((~((~(e)&e))>(~(z)>t))|c)&e)
(c|((~(~(c))>(d&z))&e))
1
1
0
0
entailment
~(d)
((t&(d&(e>d)))>~(((~(((c|c)>e))>c)|e)))
1
0
0
0
entailment
(((~((~(e)&e))>(~(z)>t))|c)&e)
((t&(d&(e>d)))>~(((~(((c|c)>e))>c)|e)))
0
0
0
0
not entailment
~(d)
(c|((~(~(c))>(d&z))&e))
0
0
0
0
not entailment
(~(d)&((c&((d>e)&((d>e)|(d>t))))&t))
(d>(e>z))
1
1
0
0
entailment
((~(((d&e)>z))&d)&((t|e)&~(((e>t)|z))))
~(~((((c|t)|~(~((t&e))))>e)))
1
1
0
0
entailment
(~(d)&((c&((d>e)&((d>e)|(d>t))))&t))
~(~((((c|t)|~(~((t&e))))>e)))
0
1
1
0
not entailment
((~(((d&e)>z))&d)&((t|e)&~(((e>t)|z))))
(d>(e>z))
0
1
1
0
not entailment
~(~(d))
((e|(d>(~(z)|e)))>d)
1
0
0
0
entailment
~((z>((d|t)|(c&~(~(~(e)))))))
(~((c|((t&e)|(t&c))))|(z|c))
1
1
1
0
entailment
~(~(d))
(~((c|((t&e)|(t&c))))|(z|c))
0
0
0
0
not entailment
~((z>((d|t)|(c&~(~(~(e)))))))
((e|(d>(~(z)|e)))>d)
0
1
1
0
not entailment
~((~(~(e))>(t|c)))
(c|(d|e))
1
1
0
0
entailment
~((z>(z&c)))
~(((e|((c>e)|(z>d)))&(z>c)))
1
0
0
0
entailment
~((~(~(e))>(t|c)))
~(((e|((c>e)|(z>d)))&(z>c)))
0
0
0
0
not entailment
~((z>(z&c)))
(c|(d|e))
0
1
0
0
not entailment
~((t|~((c>((z>d)&d)))))
((c|t)>(((t&t)|d)|((z>e)&((e&(e&z))|d))))
1
0
0
0
entailment
~((t|e))
((e>t)&~(t))
1
0
1
0
entailment
~((t|~((c>((z>d)&d)))))
((e>t)&~(t))
0
1
0
0
not entailment
~((t|e))
((c|t)>(((t&t)|d)|((z>e)&((e&(e&z))|d))))
0
0
0
0
not entailment
(~(((t|(e>(~(d)>e)))|d))|~(t))
~((d&(t&d)))
1
1
1
1
entailment
((e&z)&z)
(z&((t&((t>~((c&e)))>~(z)))>((e|z)|z)))
1
0
0
0
entailment
(~(((t|(e>(~(d)>e)))|d))|~(t))
(z&((t&((t>~((c&e)))>~(z)))>((e|z)|z)))
0
0
0
0
not entailment
((e&z)&z)
~((d&(t&d)))
0
0
0
0
not entailment
((z|(e>t))&~(~(e)))
((((d&d)&t)|~((((t>e)|(d|e))|(c|t))))>e)
1
0
0
0
entailment
(~(((c|(z|e))&d))&(d|(((e>e)|c)>d)))
(e>(~(~(~((d&z))))|(c|c)))
1
1
1
0
entailment
((z|(e>t))&~(~(e)))
(e>(~(~(~((d&z))))|(c|c)))
0
0
0
0
not entailment
(~(((c|(z|e))&d))&(d|(((e>e)|c)>d)))
((((d&d)&t)|~((((t>e)|(d|e))|(c|t))))>e)
0
0
0
0
not entailment
~((~((d|((z|(c>d))&z)))>((e|e)>d)))
((d>c)&((z>t)|(e>e)))
1
1
0
0
entailment
~((((t>e)&e)|((z>e)|t)))
(z|(t|c))
1
1
0
0
entailment
~((~((d|((z|(c>d))&z)))>((e|e)>d)))
(z|(t|c))
0
1
0
0
not entailment
~((((t>e)&e)|((z>e)|t)))
((d>c)&((z>t)|(e>e)))
0
1
0
0
not entailment
~(((e&e)>~(((t|e)>e))))
(t>e)
1
1
1
1
entailment
(~(e)&t)
~((d&(e&z)))
1
0
0
0
entailment
~(((e&e)>~(((t|e)>e))))
~((d&(e&z)))
0
1
0
0
not entailment
(~(e)&t)
(t>e)
0
1
1
0
not entailment
((f&z)&f)
((~(z)>(f>t))&z)
1
0
0
0
entailment
(~(t)>(~(z)&(t&(k>k))))
((t|((z>t)|(f|k)))>t)
1
1
0
0
entailment