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
~((l>(x&(l|p))))
((x|x)>~((~((x|p))|t)))
1
0
0
0
entailment
(t&(((~(l)>t)>(x>x))>l))
((x|x)>~((~((x|p))|t)))
0
1
0
0
not entailment
~((l>(x&(l|p))))
(((l|x)|((~(t)|x)>t))>(p>t))
0
0
0
0
not entailment
(~(p)>((x&(~(~(t))&((t&x)|(x|p))))|p))
((x|l)>((~((t|p))&(x|l))>t))
1
1
0
0
entailment
((~((t|l))&t)|l)
~(~((l|l)))
1
1
1
1
entailment
(~(p)>((x&(~(~(t))&((t&x)|(x|p))))|p))
~(~((l|l)))
0
1
0
0
not entailment
((~((t|l))&t)|l)
((x|l)>((~((t|p))&(x|l))>t))
0
0
0
0
not entailment
(l&t)
(~(~((t|(((l&l)|x)|l))))|t)
1
0
0
0
entailment
(~(t)&~((p>l)))
~((~(~(t))&p))
1
1
1
0
entailment
(l&t)
~((~(~(t))&p))
0
0
0
0
not entailment
(~(t)&~((p>l)))
(~(~((t|(((l&l)|x)|l))))|t)
0
0
0
0
not entailment
((~(l)>x)&((x>x)>~(~(p))))
((p&t)|(p|p))
1
1
0
0
entailment
(~(p)&x)
(p>t)
1
1
0
0
entailment
((~(l)>x)&((x>x)>~(~(p))))
(p>t)
0
1
0
0
not entailment
(~(p)&x)
((p&t)|(p|p))
0
0
0
0
not entailment
~(((((p&l)>x)&l)>(((x>l)&x)>(p&t))))
((p>p)&~(~(((p|x)&((t&(t|p))>(l&l))))))
1
0
1
0
entailment
(((((p>p)|(p>x))>p)|(p&t))&(t|(t|(l&t))))
((x>(t>t))>~(~((l>p))))
1
1
1
0
entailment
~(((((p&l)>x)&l)>(((x>l)&x)>(p&t))))
((x>(t>t))>~(~((l>p))))
0
1
1
0
not entailment
(((((p>p)|(p>x))>p)|(p&t))&(t|(t|(l&t))))
((p>p)&~(~(((p|x)&((t&(t|p))>(l&l))))))
0
1
1
0
not entailment
~(((x|(p&t))>~(~(~(~(x))))))
((p|((t|l)|l))|((l&p)&t))
1
1
0
0
entailment
((p>l)&(t|(x|(t|x))))
(~(l)>~(p))
1
1
1
1
entailment
~(((x|(p&t))>~(~(~(~(x))))))
(~(l)>~(p))
0
1
0
0
not entailment
((p>l)&(t|(x|(t|x))))
((p|((t|l)|l))|((l&p)&t))
0
0
1
0
not entailment
((p&p)&(k|~((a>t))))
((p&p)>(a|k))
1
1
1
0
entailment
((~((a|(k>a)))>(p>p))&~(~(t)))
(~((k>((k|(a|k))|(a>(k|p)))))|(k|(a>t)))
1
0
1
0
entailment
((p&p)&(k|~((a>t))))
(~((k>((k|(a|k))|(a>(k|p)))))|(k|(a>t)))
0
0
1
0
not entailment
((~((a|(k>a)))>(p>p))&~(~(t)))
((p&p)>(a|k))
0
1
1
0
not entailment
(p&a)
((a>p)|(t|t))
1
0
0
0
entailment
~(k)
(~(k)|((p>t)&((t|(t>(p|~(a))))|t)))
1
0
0
0
entailment
(p&a)
(~(k)|((p>t)&((t|(t>(p|~(a))))|t)))
0
0
0
0
not entailment
~(k)
((a>p)|(t|t))
0
0
0
0
not entailment
~((~((a>~(p)))|(t>((t>k)|(a|(t>p))))))
(t|~(((t>~(~(k)))>(k>p))))
1
1
1
0
entailment
(a&((a|a)&p))
((p|p)|a)
1
1
1
1
entailment
~((~((a>~(p)))|(t>((t>k)|(a|(t>p))))))
((p|p)|a)
0
1
1
0
not entailment
(a&((a|a)&p))
(t|~(((t>~(~(k)))>(k>p))))
0
0
0
0
not entailment
~(((t|k)&k))
(((t&k)&(p>k))>(a&~(~((t|t)))))
1
0
0
0
entailment
((a>a)>p)
((p|(k>k))&(p|(a&p)))
1
0
0
0
entailment
~(((t|k)&k))
((p|(k>k))&(p|(a&p)))
0
0
0
0
not entailment
((a>a)>p)
(((t&k)&(p>k))>(a&~(~((t|t)))))
0
0
0
0
not entailment
((a>k)>(k>(p|t)))
(((((k|~(k))>p)|~(k))|(a|(k&t)))|t)
1
0
1
0
entailment
~((k&a))
~((~((p|~(k)))&~((a>p))))
1
0
0
0
entailment
((a>k)>(k>(p|t)))
~((~((p|~(k)))&~((a>p))))
0
0
1
0
not entailment
~((k&a))
(((((k|~(k))>p)|~(k))|(a|(k&t)))|t)
0
0
0
0
not entailment
(a&((p>k)&a))
(a|(t|p))
1
1
0
0
entailment
~(((p>a)&(a|t)))
((p>p)>((k|((a>t)|(k&a)))|(~(p)>k)))
1
0
0
0
entailment
(a&((p>k)&a))
((p>p)>((k|((a>t)|(k&a)))|(~(p)>k)))
0
0
0
0
not entailment
~(((p>a)&(a|t)))
(a|(t|p))
0
1
1
0
not entailment
~((((p>p)&k)>p))
(p>a)
1
1
0
0
entailment
((~(((a|a)>t))>~((t|~((k|t)))))>(t>p))
((p|(p>p))>~(~((((t>~((a|a)))|p)|p))))
1
1
1
0
entailment
~((((p>p)&k)>p))
((p|(p>p))>~(~((((t>~((a|a)))|p)|p))))
0
0
0
0
not entailment
((~(((a|a)>t))>~((t|~((k|t)))))>(t>p))
(p>a)
0
1
1
0
not entailment
~(~(~(~((((t>(p&(~(t)|p)))&t)&a)))))
(((a|a)&t)|((t|(a&a))|(p&a)))
1
1
1
1
entailment
((k|~(p))&((p>a)>(k>p)))
(p>k)
1
1
1
1
entailment
~(~(~(~((((t>(p&(~(t)|p)))&t)&a)))))
(p>k)
0
1
0
0
not entailment
((k|~(p))&((p>a)>(k>p)))
(((a|a)&t)|((t|(a&a))|(p&a)))
0
0
0
0
not entailment
((~((~(~(a))&k))|~(((p&t)>t)))&(a&p))
((t|(a>k))>(t>(p>a)))
1
1
1
0
entailment
~(((a|p)&((~(k)&(t|a))>(a|k))))
((t|~(a))|(k|(((p&p)&(k&k))&p)))
1
1
1
0
entailment
((~((~(~(a))&k))|~(((p&t)>t)))&(a&p))
((t|~(a))|(k|(((p&p)&(k&k))&p)))
0
1
1
0
not entailment
~(((a|p)&((~(k)&(t|a))>(a|k))))
((t|(a>k))>(t>(p>a)))
0
1
1
0
not entailment
(((~((~(((p|p)>~(a)))|t))|t)&t)&p)
(((p>(p|(t&a)))&((p&a)|t))&(p|(t&k)))
1
1
0
0
entailment
~(((k>p)|(t&t)))
(a|~(t))
1
1
0
0
entailment
(((~((~(((p|p)>~(a)))|t))|t)&t)&p)
(a|~(t))
0
1
1
0
not entailment
~(((k>p)|(t&t)))
(((p>(p|(t&a)))&((p&a)|t))&(p|(t&k)))
0
0
0
0
not entailment
(((a>a)>(t|p))&(((k>p)|(k&k))|a))
(t|p)
1
1
1
1
entailment
((a|t)&~(((t>(k>(a>a)))>(p|~(a)))))
((a&a)&(a&a))
1
1
1
1
entailment
(((a>a)>(t|p))&(((k>p)|(k&k))|a))
((a&a)&(a&a))
0
1
1
1
not entailment
((a|t)&~(((t>(k>(a>a)))>(p|~(a)))))
(t|p)
0
1
1
0
not entailment
(p&((k>(p&~(t)))>p))
((t>p)|(a&~(~((a>((p&(p>a))>(p&a)))))))
1
0
0
0
entailment
~((k|p))
~((p&a))
1
1
0
0
entailment
(p&((k>(p&~(t)))>p))
~((p&a))
0
1
0
0
not entailment
~((k|p))
((t>p)|(a&~(~((a>((p&(p>a))>(p&a)))))))
0
0
0
0
not entailment
(p&a)
(~(a)>(t&k))
1
0
0
0
entailment
(k&k)
(~(~((t&a)))|~((a&~(~(~(k))))))
1
0
0
0
entailment
(p&a)
(~(~((t&a)))|~((a&~(~(~(k))))))
0
0
0
0
not entailment
(k&k)
(~(a)>(t&k))
0
0
0
0
not entailment
(a&(~((a|a))>a))
((~((((p|(a&t))|k)|a))&t)>((~(k)|p)>p))
1
0
0
0
entailment
(k|(t|k))
(~(t)>k)
1
1
1
1
entailment
(a&(~((a|a))>a))
(~(t)>k)
0
1
0
0
not entailment
(k|(t|k))
((~((((p|(a&t))|k)|a))&t)>((~(k)|p)>p))
0
0
0
0
not entailment
~((~(((a|a)|(~(a)|p)))|(a>~(p))))
(a|(p|(a&p)))
1
1
1
1
entailment
~(~((~((t>~(p)))>(p>~(((a&k)>t))))))
(a>(p>~((k&t))))
1
1
1
0
entailment
~((~(((a|a)|(~(a)|p)))|(a>~(p))))
(a>(p>~((k&t))))
0
1
0
0
not entailment
~(~((~((t>~(p)))>(p>~(((a&k)>t))))))
(a|(p|(a&p)))
0
1
1
0
not entailment
((p&(a&p))|~((~(t)>a)))
(t>(k|a))
1
1
0
0
entailment
(((a|t)>k)>~((k>k)))
~(((p>p)>(k|k)))
1
1
0
0
entailment
((p&(a&p))|~((~(t)>a)))
~(((p>p)>(k|k)))
0
1
0
0
not entailment
(((a|t)>k)>~((k>k)))
(t>(k|a))
0
1
1
0
not entailment
((((g&d)|(~(d)|a))|((y|l)|s))>(s&g))
((y|(f>(o>g)))|(l>y))
1
1
0
0
entailment
(((l|a)|i)&i)
((g>(s&g))>i)
1
1
0
0
entailment
((((g&d)|(~(d)|a))|((y|l)|s))>(s&g))
((g>(s&g))>i)
0
1
0
0
not entailment
(((l|a)|i)&i)
((y|(f>(o>g)))|(l>y))
0
0
0
0
not entailment
((o|~((l>d)))&~(d))
((~((((a>s)|i)&~((o&(d>d)))))|l)|a)
1
0
0
0
entailment
((o>s)&((~((s&(l&i)))|f)&~(y)))
(~(d)>~((s&(o&(y&(~(d)>o))))))
1
1
0
0
entailment
((o|~((l>d)))&~(d))
(~(d)>~((s&(o&(y&(~(d)>o))))))
0
0
0
0
not entailment
((o>s)&((~((s&(l&i)))|f)&~(y)))
((~((((a>s)|i)&~((o&(d>d)))))|l)|a)
0
0
0
0
not entailment
~((((a&(l>f))&~(((d|s)|d)))>~((a&y))))
(g>(y|d))
1
1
0
0
entailment
((g>l)&~(((s&g)>(f&l))))
(~((~(l)>(~(~(l))>f)))|(((g&f)>l)|d))
1
0
0
0
entailment
~((((a&(l>f))&~(((d|s)|d)))>~((a&y))))
(~((~(l)>(~(~(l))>f)))|(((g&f)>l)|d))
0
1
0
0
not entailment
((g>l)&~(((s&g)>(f&l))))
(g>(y|d))
0
1
0
0
not entailment
((~(l)>~((d|y)))&(d>~(d)))
((d&s)>((g&d)&(g>a)))
1
1
0
0
entailment