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
(b&(((h>((v&v)&x))|v)&(v>~(h))))
((x|(h&q))|(x|(h&v)))
0
1
0
0
not entailment
((((h|q)&~(b))>(b>(v>x)))>(x&(v&x)))
(b|~(((~(b)>v)&v)))
0
1
1
0
not entailment
(v|(~(q)&(v&(x>(x&(b>v))))))
~(~(((v|x)>(v|(~(b)>v)))))
1
1
1
0
entailment
~((~(x)|((~((h|x))&((h>q)>q))|q)))
~((~(x)&~(((b|q)>~(~(b))))))
1
1
0
0
entailment
(v|(~(q)&(v&(x>(x&(b>v))))))
~((~(x)&~(((b|q)>~(~(b))))))
0
0
1
0
not entailment
~((~(x)|((~((h|x))&((h>q)>q))|q)))
~(~(((v|x)>(v|(~(b)>v)))))
0
1
0
0
not entailment
((q|~((~((~(h)|x))>b)))&(h&b))
(~((x&~((q|q))))&((b|(b>v))|~((q>v))))
1
0
0
0
entailment
~(~(((h>(v>~(v)))&((q>b)>v))))
((h|(b&h))>~(v))
1
1
1
1
entailment
((q|~((~((~(h)|x))>b)))&(h&b))
((h|(b&h))>~(v))
0
1
0
0
not entailment
~(~(((h>(v>~(v)))&((q>b)>v))))
(~((x&~((q|q))))&((b|(b>v))|~((q>v))))
0
0
0
0
not entailment
((x>(v&b))&((q|q)&h))
((~(((x>x)>(h>v)))>((x&x)|q))&h)
1
0
1
0
entailment
(~((~(x)>h))&b)
~((x&(q&q)))
1
1
0
0
entailment
((x>(v&b))&((q|q)&h))
~((x&(q&q)))
0
1
1
0
not entailment
(~((~(x)>h))&b)
((~(((x>x)>(h>v)))>((x&x)|q))&h)
0
0
0
0
not entailment
(b&(x>(h>v)))
(((q&q)>b)|h)
1
1
0
0
entailment
(x>~(x))
((x>(q&b))|q)
1
0
0
0
entailment
(b&(x>(h>v)))
((x>(q&b))|q)
0
1
0
0
not entailment
(x>~(x))
(((q&q)>b)|h)
0
0
0
0
not entailment
(~(((v>~(~(v)))>~(q)))&(h|b))
(~((h|h))>(b>q))
1
1
1
0
entailment
~(q)
(((v&(v|v))>b)|(q>~(((h>x)>b))))
1
0
0
0
entailment
(~(((v>~(~(v)))>~(q)))&(h|b))
(((v&(v|v))>b)|(q>~(((h>x)>b))))
0
1
0
0
not entailment
~(q)
(~((h|h))>(b>q))
0
0
0
0
not entailment
(x&b)
(x|x)
1
1
1
1
entailment
~((v|~(b)))
~(((x|v)&((x|v)&~(~((v&h))))))
1
0
0
0
entailment
(x&b)
~(((x|v)&((x|v)&~(~((v&h))))))
0
0
0
0
not entailment
~((v|~(b)))
(x|x)
0
1
0
0
not entailment
~(~((h&((q&v)&~((((x|b)&~(v))&v))))))
~(~(~((q>~(((b>q)>h))))))
1
1
1
0
entailment
~((~((x|b))|(h|h)))
(~((~(h)>b))|(b|(b|b)))
1
0
1
0
entailment
~(~((h&((q&v)&~((((x|b)&~(v))&v))))))
(~((~(h)>b))|(b|(b|b)))
0
1
1
0
not entailment
~((~((x|b))|(h|h)))
~(~(~((q>~(((b>q)>h))))))
0
0
0
0
not entailment
(~((b>x))&~((b&x)))
(~(v)|(~(q)>b))
1
1
0
0
entailment
~((q|q))
(((v|v)|~(q))|v)
1
0
0
0
entailment
(~((b>x))&~((b&x)))
(((v|v)|~(q))|v)
0
1
0
0
not entailment
~((q|q))
(~(v)|(~(q)>b))
0
0
0
0
not entailment
~((q|(v&v)))
((x&x)>(v>b))
1
1
0
0
entailment
(((b&h)>(q>(v|(v>v))))>(x&h))
(((b>(((q>v)>(h&v))&(v>h)))|b)&x)
1
0
1
0
entailment
~((q|(v&v)))
(((b>(((q>v)>(h&v))&(v>h)))|b)&x)
0
0
0
0
not entailment
(((b&h)>(q>(v|(v>v))))>(x&h))
((x&x)>(v>b))
0
1
1
0
not entailment
~((~(q)|o))
~(~(((x|(~(k)&(p>o)))>(o>k))))
1
0
0
0
entailment
~(~(((o&~(v))&(p>(((v&q)&(v>q))|o)))))
(o|~(((~((x>q))>q)>(p>q))))
1
1
0
0
entailment
~((~(q)|o))
(o|~(((~((x>q))>q)>(p>q))))
0
0
0
0
not entailment
~(~(((o&~(v))&(p>(((v&q)&(v>q))|o)))))
~(~(((x|(~(k)&(p>o)))>(o>k))))
0
1
0
0
not entailment
~((((q|p)&k)>(x>(p|p))))
((v|~((~(o)>p)))|(((v|(o>x))>(q|q))>o))
1
0
0
0
entailment
(((o|((x&o)&(x|x)))&o)|p)
(((p|o)|~((x|((o|k)&p))))&(v>v))
1
0
0
0
entailment
~((((q|p)&k)>(x>(p|p))))
(((p|o)|~((x|((o|k)&p))))&(v>v))
0
0
0
0
not entailment
(((o|((x&o)&(x|x)))&o)|p)
((v|~((~(o)>p)))|(((v|(o>x))>(q|q))>o))
0
0
0
0
not entailment
((q|(~(((v|(o|v))>x))|k))&~((k>q)))
(~((o|(((p&x)>(q>p))&k)))>(v|q))
1
1
0
0
entailment
(p&(p|(q>k)))
(p|~((q|o)))
1
1
0
0
entailment
((q|(~(((v|(o|v))>x))|k))&~((k>q)))
(p|~((q|o)))
0
1
0
0
not entailment
(p&(p|(q>k)))
(~((o|(((p&x)>(q>p))&k)))>(v|q))
0
0
0
0
not entailment
(v&p)
~(~(p))
1
0
1
1
entailment
~((o|v))
(v>x)
1
1
0
0
entailment
(v&p)
(v>x)
0
1
0
0
not entailment
~((o|v))
~(~(p))
0
1
0
0
not entailment
~(((p>o)|(q>o)))
(v>q)
1
1
0
0
entailment
~((~(~(q))|~((k>q))))
(x|(k>(v|v)))
1
1
0
0
entailment
~(((p>o)|(q>o)))
(x|(k>(v|v)))
0
1
0
0
not entailment
~((~(~(q))|~((k>q))))
(v>q)
0
1
0
0
not entailment
~(((k>v)>~(~(k))))
((k>~((p>q)))&(q|~((k&q))))
1
0
0
0
entailment
~((v>q))
~(~((v|q)))
1
0
1
0
entailment
~(((k>v)>~(~(k))))
~(~((v|q)))
0
1
0
0
not entailment
~((v>q))
((k>~((p>q)))&(q|~((k&q))))
0
0
0
0
not entailment
~(((((p|(x|(o>(x>o))))&(x|v))&(k>x))>x))
(k>(q&~(o)))
1
1
0
0
entailment
((p>v)&k)
(~((x&~(~(q))))>(k|k))
1
0
0
0
entailment
~(((((p|(x|(o>(x>o))))&(x|v))&(k>x))>x))
(~((x&~(~(q))))>(k|k))
0
1
0
0
not entailment
((p>v)&k)
(k>(q&~(o)))
0
0
0
0
not entailment
~(((q|x)>~(((x&o)&~((v|q))))))
(o|v)
1
1
1
0
entailment
((p>p)&q)
(((v|v)|q)|(o&(k|p)))
1
0
0
0
entailment
~(((q|x)>~(((x&o)&~((v|q))))))
(((v|v)|q)|(o&(k|p)))
0
1
0
0
not entailment
((p>p)&q)
(o|v)
0
1
0
0
not entailment
(((q&v)|x)|((k>v)&(x&o)))
((((k|v)&v)|x)|~((o>p)))
1
1
0
0
entailment
~(((~(v)>(o|x))|((p>x)>x)))
~(x)
1
1
1
1
entailment
(((q&v)|x)|((k>v)&(x&o)))
~(x)
0
1
1
0
not entailment
~(((~(v)>(o|x))|((p>x)>x)))
((((k|v)&v)|x)|~((o>p)))
0
1
0
0
not entailment
(x&(((p|x)&(((p>o)&x)>k))|~((k&o))))
(v>(o|x))
1
1
0
0
entailment
(((k|q)&(p|k))&~(q))
~(~(((q|p)>((((v>x)&k)>(p&k))|p))))
1
0
0
0
entailment
(x&(((p|x)&(((p>o)&x)>k))|~((k&o))))
~(~(((q|p)>((((v>x)&k)>(p&k))|p))))
0
1
0
0
not entailment
(((k|q)&(p|k))&~(q))
(v>(o|x))
0
1
0
0
not entailment
~((((k&x)|(((p|o)>(k&p))|~(q)))>~(k)))
(((~(~(o))&q)|p)>~((~(k)&p)))
1
1
1
1
entailment
(~((x>((p|v)&(p>k))))&(q&(x>v)))
(~((((v|k)>k)&o))|(x&o))
1
1
0
0
entailment
~((((k&x)|(((p|o)>(k&p))|~(q)))>~(k)))
(~((((v|k)>k)&o))|(x&o))
0
1
0
0
not entailment
(~((x>((p|v)&(p>k))))&(q&(x>v)))
(((~(~(o))&q)|p)>~((~(k)&p)))
0
1
0
0
not entailment
(v&((k|(v|k))|((o>k)|(q|p))))
(o>~(~(v)))
1
1
1
1
entailment
~(((v&v)|p))
((x&q)|(q|(p>x)))
1
0
0
0
entailment
(v&((k|(v|k))|((o>k)|(q|p))))
((x&q)|(q|(p>x)))
0
1
0
0
not entailment
~(((v&v)|p))
(o>~(~(v)))
0
1
0
0
not entailment
((o&((~(~(p))|~((x|(v&v))))>p))&v)
~((k&~(o)))
1
1
0
0
entailment
(~((~(q)|x))&((p>(p&v))|k))
(~(q)>(~(p)&(o&k)))
1
1
0
0
entailment
((o&((~(~(p))|~((x|(v&v))))>p))&v)
(~(q)>(~(p)&(o&k)))
0
1
0
0
not entailment
(~((~(q)|x))&((p>(p&v))|k))
~((k&~(o)))
0
1
0
0
not entailment
((q&~(~((o|(x&(q&p))))))|(v&o))
((((x|x)>((q|k)>x))>(v>p))>(o|q))
1
1
0
0
entailment
(~(~((x|x)))&(v>p))
(v>(~(p)>~((((q>~(k))>~(o))|q))))
1
0
0
0
entailment
((q&~(~((o|(x&(q&p))))))|(v&o))
(v>(~(p)>~((((q>~(k))>~(o))|q))))
0
0
0
0
not entailment
(~(~((x|x)))&(v>p))
((((x|x)>((q|k)>x))>(v>p))>(o|q))
0
0
0
0
not entailment
(((p&x)>k)&o)
((o|(o&q))|v)
1
1
0
0
entailment
(((k|p)|~((o|x)))&p)
((p>(p>o))>((k|((x&o)>p))|(~(q)>(x>k))))
1
0
0
0
entailment
(((p&x)>k)&o)
((p>(p>o))>((k|((x&o)>p))|(~(q)>(x>k))))
0
0
0
0
not entailment
(((k|p)|~((o|x)))&p)
((o|(o&q))|v)
0
1
0
0
not entailment
(~((v&((((o&k)|k)|(k|x))|k)))&(v&p))
~(((k|((p&x)&~((k&v))))|k))
1
1
1
0
entailment
((k&o)&(k>(~(~((p&(x|p))))|((k|o)>o))))
((x|q)>(~((~(o)|x))>(k|(k|x))))
1
1
0
0
entailment