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
(k|(h&((k>z)>k)))
((~(z)|((z>h)&(~(k)|k)))>((b|h)>k))
1
0
0
0
entailment
(((h>h)&(b|~((k>h))))&h)
((~(z)|((z>h)&(~(k)|k)))>((b|h)>k))
0
0
0
0
not entailment
(k|(h&((k>z)>k)))
((b|z)|(k&b))
0
1
0
0
not entailment
((~(~((h>(h>b))))>(b&k))&z)
(b>z)
1
1
1
1
entailment
((((z|h)|(k>b))&b)&(z>k))
(((k&(h&h))>b)>b)
1
1
1
0
entailment
((~(~((h>(h>b))))>(b&k))&z)
(((k&(h&h))>b)>b)
0
1
1
1
not entailment
((((z|h)|(k>b))&b)&(z>k))
(b>z)
0
1
1
0
not entailment
(z|((~(h)|z)&k))
((((z>z)>k)>(k&(k>h)))>((k&z)|(~(h)|z)))
1
0
1
0
entailment
(((z>~(z))&~(z))&(b|b))
(~((((b>h)>k)|z))|(k>((z>(b|b))>b)))
1
0
0
0
entailment
(z|((~(h)|z)&k))
(~((((b>h)>k)|z))|(k>((z>(b|b))>b)))
0
0
0
0
not entailment
(((z>~(z))&~(z))&(b|b))
((((z>z)>k)>(k&(k>h)))>((k&z)|(~(h)|z)))
0
0
0
0
not entailment
~((((z>~((h|h)))|(b&k))|(~(b)&(k&h))))
((~(k)&(k>z))|b)
1
1
1
1
entailment
~(~(~(h)))
(h>(b&(b&(z&b))))
1
0
0
0
entailment
~((((z>~((h|h)))|(b&k))|(~(b)&(k&h))))
(h>(b&(b&(z&b))))
0
1
1
1
not entailment
~(~(~(h)))
((~(k)&(k>z))|b)
0
0
0
0
not entailment
~(((~((z|z))|(h&h))>((b&b)|h)))
(((h|(b>k))|k)|~((((b|h)&(b>z))|(h>h))))
1
0
0
0
entailment
(((z>b)|~((b>h)))&((h>b)&z))
~(~(((h&z)|b)))
1
1
1
0
entailment
~(((~((z|z))|(h&h))>((b&b)|h)))
~(~(((h&z)|b)))
0
1
1
0
not entailment
(((z>b)|~((b>h)))&((h>b)&z))
(((h|(b>k))|k)|~((((b|h)&(b>z))|(h>h))))
0
0
0
0
not entailment
~((~(~(b))|((k|b)|h)))
((((h|h)|(b|k))&(k|b))>~(~(((b&z)|b))))
1
0
0
0
entailment
(z&(k>z))
(z|b)
1
1
0
0
entailment
~((~(~(b))|((k|b)|h)))
(z|b)
0
1
0
0
not entailment
(z&(k>z))
((((h|h)|(b|k))&(k|b))>~(~(((b&z)|b))))
0
0
0
0
not entailment
(((z|(b>k))>(k|~(b)))&~(((b&b)>k)))
(~(z)&(h>(h|h)))
1
1
0
0
entailment
(((b&k)&((z&(b|~(z)))&h))|k)
(h|k)
1
1
1
1
entailment
(((z|(b>k))>(k|~(b)))&~(((b&b)>k)))
(h|k)
0
1
0
0
not entailment
(((b&k)&((z&(b|~(z)))&h))|k)
(~(z)&(h>(h|h)))
0
1
1
0
not entailment
(~(h)&(~((k&z))|z))
((z|b)|~((h|(k&z))))
1
1
0
0
entailment
~(k)
((z>(h&(k>~(b))))>~(~((k>h))))
1
0
0
0
entailment
(~(h)&(~((k&z))|z))
((z>(h&(k>~(b))))>~(~((k>h))))
0
0
0
0
not entailment
~(k)
((z|b)|~((h|(k&z))))
0
0
0
0
not entailment
~((~(h)>~(b)))
(((h&h)&z)|(~(~((h>(k>z))))|z))
1
0
0
0
entailment
((k&k)&~(~((((k>k)|k)|(z>(z|h))))))
((h|(k&k))&((h|k)&((b|(k&z))|k)))
1
1
0
0
entailment
~((~(h)>~(b)))
((h|(k&k))&((h|k)&((b|(k&z))|k)))
0
0
0
0
not entailment
((k&k)&~(~((((k>k)|k)|(z>(z|h))))))
(((h&h)&z)|(~(~((h>(k>z))))|z))
0
1
1
0
not entailment
~(~((z&b)))
((b|(z>k))|(~(~(z))>k))
1
0
0
0
entailment
~((k|(z>((h&h)|b))))
(((b>h)>b)>~(b))
1
1
1
0
entailment
~(~((z&b)))
(((b>h)>b)>~(b))
0
0
0
0
not entailment
~((k|(z>((h&h)|b))))
((b|(z>k))|(~(~(z))>k))
0
0
1
0
not entailment
((z|z)&((b&z)&(~((h|k))|h)))
((~(k)>~(((k|h)|(((k|h)&h)>(z&h)))))>z)
1
0
1
0
entailment
(~(((z&(h&~(((h&z)>z))))|b))&h)
(b>k)
1
1
0
0
entailment
((z|z)&((b&z)&(~((h|k))|h)))
(b>k)
0
1
1
0
not entailment
(~(((z&(h&~(((h&z)>z))))|b))&h)
((~(k)>~(((k|h)|(((k|h)&h)>(z&h)))))>z)
0
0
0
0
not entailment
(~(~((h>(h>k))))&(k&(h>((k|b)|(z|z)))))
~(~((~((b&((k&k)|~((z|k)))))|k)))
1
1
1
0
entailment
~(((~((k|b))&~(z))|~(b)))
((z&z)>(~(~((z>b)))&b))
1
1
1
0
entailment
(~(~((h>(h>k))))&(k&(h>((k|b)|(z|z)))))
((z&z)>(~(~((z>b)))&b))
0
1
1
0
not entailment
~(((~((k|b))&~(z))|~(b)))
~(~((~((b&((k&k)|~((z|k)))))|k)))
0
0
1
0
not entailment
((z&k)&((h&b)&(k&h)))
~(~((((k|~(b))&k)|b)))
1
0
1
0
entailment
(~(b)&(z>~((h|((k&b)>(k|((z>k)>z)))))))
~((~((h&z))>b))
1
1
1
1
entailment
((z&k)&((h&b)&(k&h)))
~((~((h&z))>b))
0
1
1
0
not entailment
(~(b)&(z>~((h|((k&b)>(k|((z>k)>z)))))))
~(~((((k|~(b))&k)|b)))
0
1
1
1
not entailment
(k&b)
(k|k)
1
1
1
1
entailment
((((k|z)&z)|z)|~((h|(~(b)>z))))
(~(~(h))>z)
1
1
1
1
entailment
(k&b)
(~(~(h))>z)
0
0
0
0
not entailment
((((k|z)&z)|z)|~((h|(~(b)>z))))
(k|k)
0
1
1
1
not entailment
~((~((w&a))>(h|(v>h))))
~(((w&(b&a))&~((~(z)>((f|a)>z)))))
1
0
0
0
entailment
((o|(v&b))&~((c>o)))
(~((a>(s&f)))>c)
1
1
0
0
entailment
~((~((w&a))>(h|(v>h))))
(~((a>(s&f)))>c)
0
1
0
0
not entailment
((o|(v&b))&~((c>o)))
~(((w&(b&a))&~((~(z)>((f|a)>z)))))
0
0
0
0
not entailment
((v|v)&(~(((o>~(c))|z))&b))
(((f>z)>(o&o))>(b>(c|v)))
1
1
0
0
entailment
(~((c|z))&((b|s)>a))
~(((o|h)&((((c&z)>v)|(o&o))>c)))
1
0
0
0
entailment
((v|v)&(~(((o>~(c))|z))&b))
~(((o|h)&((((c&z)>v)|(o&o))>c)))
0
0
0
0
not entailment
(~((c|z))&((b|s)>a))
(((f>z)>(o&o))>(b>(c|v)))
0
0
0
0
not entailment
~(((w>~(c))|(o&(c|z))))
(h|~(((~(~(s))&(c&~(w)))&f)))
1
0
0
0
entailment
(s&o)
(((b|((v&b)|b))|w)>~(~((b|(z>s)))))
1
0
0
0
entailment
~(((w>~(c))|(o&(c|z))))
(((b|((v&b)|b))|w)>~(~((b|(z>s)))))
0
0
0
0
not entailment
(s&o)
(h|~(((~(~(s))&(c&~(w)))&f)))
0
0
0
0
not entailment
((f&w)&c)
((f&s)>c)
1
1
0
0
entailment
(~((~((~((s&b))&w))|((b&c)&w)))&z)
(((s&f)&(z&o))|(((s&~(s))>f)>z))
1
1
0
0
entailment
((f&w)&c)
(((s&f)&(z&o))|(((s&~(s))>f)>z))
0
0
0
0
not entailment
(~((~((~((s&b))&w))|((b&c)&w)))&z)
((f&s)>c)
0
1
0
0
not entailment
(((w&s)&o)&~(~((c|f))))
(((s>f)>(z&h))|((w>~(v))>(f|(v&(b>h)))))
1
0
0
0
entailment
((a&(z>v))&(h&h))
(((b&~((v&h)))|a)&((v>o)|~(~(h))))
1
0
0
0
entailment
(((w&s)&o)&~(~((c|f))))
(((b&~((v&h)))|a)&((v>o)|~(~(h))))
0
0
0
0
not entailment
((a&(z>v))&(h&h))
(((s>f)>(z&h))|((w>~(v))>(f|(v&(b>h)))))
0
0
0
0
not entailment
~((((a&h)>(b>c))|~((f&(z&h)))))
(f|o)
1
1
0
0
entailment
~((((~(o)|(c&v))>w)|(((a|w)>(w|o))>a)))
~(a)
1
1
1
1
entailment
~((((a&h)>(b>c))|~((f&(z&h)))))
~(a)
0
1
1
0
not entailment
~((((~(o)|(c&v))>w)|(((a|w)>(w|o))>a)))
(f|o)
0
1
0
0
not entailment
(((~(s)>(s&f))&v)&b)
((w|(~(a)>s))|~((c&f)))
1
0
0
0
entailment
(((h&(b&o))|(a>f))&z)
((~(w)|~(z))>z)
1
1
0
0
entailment
(((~(s)>(s&f))&v)&b)
((~(w)|~(z))>z)
0
1
0
0
not entailment
(((h&(b&o))|(a>f))&z)
((w|(~(a)>s))|~((c&f)))
0
0
0
0
not entailment
~(~(((z&(h&o))&v)))
(~(z)|((f|s)|h))
1
1
0
0
entailment
((a&b)&(w>((s&c)&v)))
((w|o)>~(~(((f|(((b>o)>v)&(f|o)))>b))))
1
0
0
0
entailment
~(~(((z&(h&o))&v)))
((w|o)>~(~(((f|(((b>o)>v)&(f|o)))>b))))
0
0
0
0
not entailment
((a&b)&(w>((s&c)&v)))
(~(z)|((f|s)|h))
0
1
0
0
not entailment
(((c&(o>v))|(~(f)&z))&~((b>(w|h))))
(~(a)>((h>h)&(z|((v>b)>c))))
1
1
0
0
entailment
(((h>o)&f)&(h&o))
~((~((o>~((b&~(h)))))&(o&c)))
1
0
0
0
entailment
(((c&(o>v))|(~(f)&z))&~((b>(w|h))))
~((~((o>~((b&~(h)))))&(o&c)))
0
1
1
0
not entailment
(((h>o)&f)&(h&o))
(~(a)>((h>h)&(z|((v>b)>c))))
0
0
0
0
not entailment
((o&(h&~((o>c))))&a)
(f>((h>(o|z))&((o|b)|b)))
1
0
0
0
entailment
((~((v>s))&(h|(f>~(((o|z)&w)))))&b)
(((w&s)>w)&~((w&~((v|f)))))
1
1
1
0
entailment
((o&(h&~((o>c))))&a)
(((w&s)>w)&~((w&~((v|f)))))
0
0
0
0
not entailment
((~((v>s))&(h|(f>~(((o|z)&w)))))&b)
(f>((h>(o|z))&((o|b)|b)))
0
1
1
0
not entailment
((f|(w>(o>z)))&(z&c))
(~((h|z))>(h|c))
1
1
0
0
entailment
~(~(~((((v|z)|(f|s))|o))))
(((w>b)>~(z))|((a>c)>~(c)))
1
1
0
0
entailment
((f|(w>(o>z)))&(z&c))
(((w>b)>~(z))|((a>c)>~(c)))
0
0
0
0
not entailment
~(~(~((((v|z)|(f|s))|o))))
(~((h|z))>(h|c))
0
1
0
0
not entailment
~(((o>c)|(~(~(w))&f)))
((v>z)|(o|((o|w)|(v&w))))
1
1
0
0
entailment