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
~((s|(p|(k&k))))
((s&~(~(u)))>~((v&d)))
1
0
0
0
entailment
(~(p)&(p|(d&d)))
((s&~(~(u)))>~((v&d)))
0
0
0
0
not entailment
~((s|(p|(k&k))))
(((k|v)|(d|p))|(u|((s&(s|k))|s)))
0
0
0
0
not entailment
~(~(v))
(((v>s)&((z>p)&p))|(v|z))
1
0
0
0
entailment
(~(~((u&s)))|((d&u)&(v|(s&~(i)))))
((((k>p)|d)>u)&u)
1
1
0
0
entailment
~(~(v))
((((k>p)|d)>u)&u)
0
0
0
0
not entailment
(~(~((u&s)))|((d&u)&(v|(s&~(i)))))
(((v>s)&((z>p)&p))|(v|z))
0
1
0
0
not entailment
~((~((s|((i|d)>u)))>p))
((((d>u)|p)&u)>v)
1
1
0
0
entailment
(d&k)
((((s>i)|i)|s)>(d&k))
1
0
0
0
entailment
~((~((s|((i|d)>u)))>p))
((((s>i)|i)|s)>(d&k))
0
1
0
0
not entailment
(d&k)
((((d>u)|p)&u)>v)
0
0
0
0
not entailment
~((d|~(~((z>(~((k>v))|p))))))
((k|(v>(p>k)))|d)
1
1
1
0
entailment
((s>s)&~(((i&i)>(~(p)&(i|(i>i))))))
(v|i)
1
1
0
0
entailment
~((d|~(~((z>(~((k>v))|p))))))
(v|i)
0
1
0
0
not entailment
((s>s)&~(((i&i)>(~(p)&(i|(i>i))))))
((k|(v>(p>k)))|d)
0
1
0
0
not entailment
((p>d)&z)
((z|z)|(s>d))
1
0
0
0
entailment
~((((u&v)>k)|(i&u)))
(~(~(((z|~((i>v)))&u)))>((i&u)>v))
1
0
0
0
entailment
((p>d)&z)
(~(~(((z|~((i>v)))&u)))>((i&u)>v))
0
0
0
0
not entailment
~((((u&v)>k)|(i&u)))
((z|z)|(s>d))
0
1
0
0
not entailment
~(~((~(v)&~(((i|d)>i)))))
((d|u)|(u&((v&d)>v)))
1
1
0
0
entailment
((v>k)&v)
((((p&u)&z)>s)>(~(p)>k))
1
0
0
0
entailment
~(~((~(v)&~(((i|d)>i)))))
((((p&u)&z)>s)>(~(p)>k))
0
1
0
0
not entailment
((v>k)&v)
((d|u)|(u&((v&d)>v)))
0
0
0
0
not entailment
~((~((~((u&~(d)))&s))|d))
~((z&(z>d)))
1
1
0
0
entailment
~(((s&~(~(p)))>(((k|p)|s)>(v|~(u)))))
(~(~((d>(s>d))))&p)
1
1
0
0
entailment
~((~((~((u&~(d)))&s))|d))
(~(~((d>(s>d))))&p)
0
1
0
0
not entailment
~(((s&~(~(p)))>(((k|p)|s)>(v|~(u)))))
~((z&(z>d)))
0
1
0
0
not entailment
~((((k|p)|~(((u&z)&s)))|(i|i)))
(~((s|i))>~(~(s)))
1
1
1
0
entailment
(~(s)&(v&p))
(p|~((u>u)))
1
1
0
0
entailment
~((((k|p)|~(((u&z)&s)))|(i|i)))
(p|~((u>u)))
0
1
1
0
not entailment
(~(s)&(v&p))
(~((s|i))>~(~(s)))
0
0
0
0
not entailment
((~(p)&(u&(u|k)))&((k|(u&i))&v))
((v|(z>s))>((((s|i)&u)>(~(d)|v))|(s&s)))
1
0
0
0
entailment
(((d&p)|d)&((z&(k>s))|(i&~((k|(v&p))))))
(d|(((d&s)&v)|~(~((u&k)))))
1
1
0
0
entailment
((~(p)&(u&(u|k)))&((k|(u&i))&v))
(d|(((d&s)&v)|~(~((u&k)))))
0
1
0
0
not entailment
(((d&p)|d)&((z&(k>s))|(i&~((k|(v&p))))))
((v|(z>s))>((((s|i)&u)>(~(d)|v))|(s&s)))
0
1
0
0
not entailment
~((r>~((s&s))))
((r|s)&~(((s&s)>(r&(s>~(s))))))
1
0
1
0
entailment
~(s)
~(~(~((s&(r>r)))))
1
0
0
0
entailment
~((r>~((s&s))))
~(~(~((s&(r>r)))))
0
0
1
0
not entailment
~(s)
((r|s)&~(((s&s)>(r&(s>~(s))))))
0
0
0
0
not entailment
((s|(r>~(((r>r)>s))))>s)
(r|s)
1
1
1
1
entailment
(~(~(((s&r)>(r>r))))&~((s|s)))
(~(r)|~((r&s)))
1
1
1
1
entailment
((s|(r>~(((r>r)>s))))>s)
(~(r)|~((r&s)))
0
1
1
1
not entailment
(~(~(((s&r)>(r>r))))&~((s|s)))
(r|s)
0
1
1
0
not entailment
~((~(s)>~(((~((s|r))&(s|s))|r))))
(~((s>r))|~(s))
1
1
1
1
entailment
(s&((s|s)|r))
(r>s)
1
1
1
0
entailment
~((~(s)>~(((~((s|r))&(s|s))|r))))
(r>s)
0
1
1
1
not entailment
(s&((s|s)|r))
(~((s>r))|~(s))
0
0
1
0
not entailment
~((((s>s)&s)>(((s&s)>r)|(r&s))))
(~(~((s|r)))&((r>r)>(s|(s&(r&s)))))
1
0
1
0
entailment
((r|((r>~(s))|s))>r)
~((((r|s)>((~(r)&s)&s))&(r>s)))
1
0
1
1
entailment
~((((s>s)&s)>(((s&s)>r)|(r&s))))
~((((r|s)>((~(r)&s)&s))&(r>s)))
0
1
1
0
not entailment
((r|((r>~(s))|s))>r)
(~(~((s|r)))&((r>r)>(s|(s&(r&s)))))
0
0
1
1
not entailment
((r|r)&(((r|s)>s)&s))
(((s>s)|~(s))>(r|s))
1
1
1
1
entailment
~((r&r))
~(r)
1
1
1
1
entailment
((r|r)&(((r|s)>s)&s))
~(r)
0
1
1
1
not entailment
~((r&r))
(((s>s)|~(s))>(r|s))
0
0
0
0
not entailment
((r|(r|s))&((r>s)|r))
(((s>r)&(~(r)&r))|(r|s))
1
0
1
0
entailment
~((r|r))
(r>s)
1
1
0
0
entailment
((r|(r|s))&((r>s)|r))
(r>s)
0
1
1
1
not entailment
~((r|r))
(((s>r)&(~(r)&r))|(r|s))
0
0
0
0
not entailment
((r|(s&(~((s>s))|r)))&(~(~(r))|(r>r)))
(r&r)
1
1
1
1
entailment
~(~(((r|s)&~(r))))
(((r&~((r&(r&s))))>(s&r))|s)
1
0
1
1
entailment
((r|(s&(~((s>s))|r)))&(~(~(r))|(r>r)))
(((r&~((r&(r&s))))>(s&r))|s)
0
1
1
1
not entailment
~(~(((r|s)&~(r))))
(r&r)
0
1
1
1
not entailment
((s>(r&s))>((s&(s&s))|s))
((~(s)&(s&(r&s)))|(r|(s&s)))
1
0
1
0
entailment
((s|(r&s))>~((s>s)))
~(((~((s&s))|r)>~((~(r)|((s&s)>s)))))
1
0
1
0
entailment
((s>(r&s))>((s&(s&s))|s))
~(((~((s&s))|r)>~((~(r)|((s&s)>s)))))
0
0
1
0
not entailment
((s|(r&s))>~((s>s)))
((~(s)&(s&(r&s)))|(r|(s&s)))
0
0
1
0
not entailment
((((r&(r|s))&s)&r)&(~(~((r>r)))|s))
(r>s)
1
1
1
1
entailment
~(s)
~((((s&r)|r)&s))
1
0
0
0
entailment
((((r&(r|s))&s)&r)&(~(~((r>r)))|s))
~((((s&r)|r)&s))
0
1
1
0
not entailment
((r|r)|~(s))
(s>r)
1
1
1
1
entailment
~((s>~((r>(s&(r&(r|r)))))))
~(~(s))
1
1
1
1
entailment
((r|r)|~(s))
~(~(s))
0
1
1
0
not entailment
~((s>~((r>(s&(r&(r|r)))))))
(s>r)
0
1
1
0
not entailment
(r|(((r&r)&r)&~(r)))
(((s&s)>~((s|r)))>(r|(r&(~(r)|s))))
1
0
0
0
entailment
~(r)
((r|r)>~((r|((~(s)>(s|s))|(s>(s|r))))))
1
0
0
0
entailment
(r|(((r&r)&r)&~(r)))
((r|r)>~((r|((~(s)>(s|s))|(s>(s|r))))))
0
0
0
0
not entailment
~(r)
(((s&s)>~((s|r)))>(r|(r&(~(r)|s))))
0
0
0
0
not entailment
((s&(((s|s)>(r&r))&(r&s)))&~(~(r)))
(((s|(s|r))&(((s>r)>(r|r))|r))&(s&(r&s)))
1
0
1
0
entailment
(((s|r)>~(s))&~(r))
~((((~(s)>s)&(s|s))|s))
1
0
1
1
entailment
((s&(((s|s)>(r&r))&(r&s)))&~(~(r)))
~((((~(s)>s)&(s|s))|s))
0
1
1
1
not entailment
(((s|r)>~(s))&~(r))
(((s|(s|r))&(((s>r)>(r|r))|r))&(s&(r&s)))
0
0
1
0
not entailment
~((r|(s&s)))
(r>s)
1
1
1
0
entailment
(r&(((r&r)&r)>(r|s)))
(~((~((s>((s>s)>r)))&r))&(r&(r&(s>s))))
1
0
1
0
entailment
~((r|(s&s)))
(~((~((s>((s>s)>r)))&r))&(r&(r&(s>s))))
0
0
1
0
not entailment
(r&(((r&r)&r)>(r|s)))
(r>s)
0
1
1
1
not entailment
~(~(~((f>((k&y)>l)))))
(((k>f)>f)|y)
1
1
1
0
entailment
~((k|y))
((n&k)|~((f&y)))
1
0
0
0
entailment
~(~(~((f>((k&y)>l)))))
((n&k)|~((f&y)))
0
1
0
0
not entailment
~((k|y))
(((k>f)>f)|y)
0
0
0
0
not entailment
((y|(~((n&f))&~(d)))&~((l|(n>l))))
(((k&y)|k)>(~(l)&k))
1
1
0
0
entailment
(((y>e)&l)&(y&((k|f)|y)))
(y&((k&y)|(e|(k&k))))
1
1
1
1
entailment
((y|(~((n&f))&~(d)))&~((l|(n>l))))
(y&((k&y)|(e|(k&k))))
0
1
0
0
not entailment
(((y>e)&l)&(y&((k|f)|y)))
(((k&y)|k)>(~(l)&k))
0
1
1
0
not entailment
~((~(y)&(~((f>d))|(~(f)>((n|k)|y)))))
((n|(d&y))|((f>y)|y))
1
1
1
0
entailment
~(~(l))
~(~(((f|(~(~(f))>~((k|n))))&(f>l))))
1
0
0
0
entailment
~((~(y)&(~((f>d))|(~(f)>((n|k)|y)))))
~(~(((f|(~(~(f))>~((k|n))))&(f>l))))
0
1
0
0
not entailment
~(~(l))
((n|(d&y))|((f>y)|y))
0
0
0
0
not entailment
~((~(f)>k))
(~(~(y))|(y|(~(d)>~((d|(f&k))))))
1
0
0
0
entailment
~((~(~(~(l)))|(~(~(y))|(d|e))))
((k|(l>~(d)))&(d>(e>~(((n&e)>~(k))))))
1
0
0
0
entailment