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
((u&h)&(p>p))
~(~((u|(((x&x)|(~(b)&p))>f))))
1
0
0
0
entailment
~(((((h&h)&b)|t)&t))
((t&~(p))>((u&u)>(x&(x&x))))
1
0
0
0
entailment
((u&h)&(p>p))
((t&~(p))>((u&u)>(x&(x&x))))
0
0
0
0
not entailment
~(((((h&h)&b)|t)&t))
~(~((u|(((x&x)|(~(b)&p))>f))))
0
0
0
0
not entailment
((~((t|b))>p)&(~(t)&u))
((~(t)|f)|~((t&u)))
1
1
0
0
entailment
~((f&((h>(x|h))|h)))
((f&(~(b)>t))>(h&w))
1
1
0
0
entailment
((~((t|b))>p)&(~(t)&u))
((f&(~(b)>t))>(h&w))
0
1
0
0
not entailment
~((f&((h>(x|h))|h)))
((~(t)|f)|~((t&u)))
0
1
0
0
not entailment
~(((t>e)|~((c>~(c)))))
~((c&~(b)))
1
1
0
0
entailment
~((~(w)|k))
((b>x)|(c|~(k)))
1
0
0
0
entailment
~(((t>e)|~((c>~(c)))))
((b>x)|(c|~(k)))
0
1
0
0
not entailment
~((~(w)|k))
~((c&~(b)))
0
1
0
0
not entailment
(w&b)
((((e>t)|g)|(x|w))|(b|(z|(g|k))))
1
0
0
0
entailment
~(t)
(~(b)|~((((c>((t&x)>z))>w)&t)))
1
0
0
0
entailment
(w&b)
(~(b)|~((((c>((t&x)>z))>w)&t)))
0
0
0
0
not entailment
~(t)
((((e>t)|g)|(x|w))|(b|(z|(g|k))))
0
0
0
0
not entailment
((~(~(((e&c)&(b|x))))>~(b))>(g&w))
((w|c)|w)
1
1
1
1
entailment
(b&(e&g))
(~(((~(e)>t)&~((z&x))))|(x|g))
1
0
0
0
entailment
((~(~(((e&c)&(b|x))))>~(b))>(g&w))
(~(((~(e)>t)&~((z&x))))|(x|g))
0
1
0
0
not entailment
(b&(e&g))
((w|c)|w)
0
1
0
0
not entailment
(~(w)>((((w|k)&x)&(z&w))&e))
(((g>w)>w)|((z&~(e))&((e|e)|w)))
1
0
0
0
entailment
(b&x)
((((e>x)>t)&(c|(c|z)))|b)
1
0
0
0
entailment
(~(w)>((((w|k)&x)&(z&w))&e))
((((e>x)>t)&(c|(c|z)))|b)
0
1
0
0
not entailment
(b&x)
(((g>w)>w)|((z&~(e))&((e|e)|w)))
0
0
0
0
not entailment
(((g&g)>c)&((x&(~(g)&k))&w))
(((~(e)|~(z))&k)>x)
1
1
0
0
entailment
((~(c)&z)>c)
(~((z|c))|(k>c))
1
0
0
0
entailment
(((g&g)>c)&((x&(~(g)&k))&w))
(~((z|c))|(k>c))
0
1
0
0
not entailment
((~(c)&z)>c)
(((~(e)|~(z))&k)>x)
0
0
0
0
not entailment
(((c&t)&((g|g)&b))&(t&(g>e)))
(((x&z)|((z>(k>c))|x))|w)
1
1
0
0
entailment
(~((t|(((e>x)|c)|w)))&~((k>w)))
((x&c)>((x&((w|e)|z))&~(k)))
1
1
0
0
entailment
(((c&t)&((g|g)&b))&(t&(g>e)))
((x&c)>((x&((w|e)|z))&~(k)))
0
1
0
0
not entailment
(~((t|(((e>x)|c)|w)))&~((k>w)))
(((x&z)|((z>(k>c))|x))|w)
0
1
0
0
not entailment
(e&((e>(e|~((z>z))))>~((k|g))))
~((((c&g)&((((e&(z>e))>w)|b)&g))&c))
1
0
0
0
entailment
((((e|w)|b)|(w>w))&~((z>((z|(c>b))&t))))
(~((~(e)&e))>(z&z))
1
1
1
0
entailment
(e&((e>(e|~((z>z))))>~((k|g))))
(~((~(e)&e))>(z&z))
0
1
1
1
not entailment
((((e|w)|b)|(w>w))&~((z>((z|(c>b))&t))))
~((((c&g)&((((e&(z>e))>w)|b)&g))&c))
0
1
0
0
not entailment
(((w>c)>~(e))&(~(x)&t))
((t>t)&(x>~(((w|t)|(~(b)|(x>b))))))
1
0
0
0
entailment
((e&~(k))&~(t))
(k>g)
1
1
0
0
entailment
(((w>c)>~(e))&(~(x)&t))
(k>g)
0
1
0
0
not entailment
((e&~(k))&~(t))
((t>t)&(x>~(((w|t)|(~(b)|(x>b))))))
0
0
0
0
not entailment
~(((~((z|(x|b)))&k)|~((x&~(g)))))
(b>(w|(g|x)))
1
1
0
0
entailment
(t&c)
(((z>(t|t))|g)&((~(z)>z)|c))
1
0
0
0
entailment
~(((~((z|(x|b)))&k)|~((x&~(g)))))
(((z>(t|t))|g)&((~(z)>z)|c))
0
1
0
0
not entailment
(t&c)
(b>(w|(g|x)))
0
0
0
0
not entailment
(b&~((w|z)))
(b|g)
1
1
0
0
entailment
((w|z)&((e&(k>t))|t))
(((c&k)|(b&~(((c>x)|(g>t)))))>(k|e))
1
0
0
0
entailment
(b&~((w|z)))
(((c&k)|(b&~(((c>x)|(g>t)))))>(k|e))
0
0
0
0
not entailment
((w|z)&((e&(k>t))|t))
(b|g)
0
1
0
0
not entailment
(x&t)
((((g>b)|b)|t)|z)
1
0
0
0
entailment
(~((z|(~(k)&~((k&~(e))))))&k)
~(~(((g>e)>((t&z)>(w>e)))))
1
1
0
0
entailment
(x&t)
~(~(((g>e)>((t&z)>(w>e)))))
0
0
0
0
not entailment
(~((z|(~(k)&~((k&~(e))))))&k)
((((g>b)|b)|t)|z)
0
1
0
0
not entailment
(w&((((w|~(b))|z)>(z>~(~((t>k)))))&e))
~((~((z>(b|w)))&(g&z)))
1
1
0
0
entailment
((~((~((c&b))|e))>t)&~(x))
((w&(c&b))>~(~((w>~(x)))))
1
1
0
0
entailment
(w&((((w|~(b))|z)>(z>~(~((t>k)))))&e))
((w&(c&b))>~(~((w>~(x)))))
0
1
0
0
not entailment
((~((~((c&b))|e))>t)&~(x))
~((~((z>(b|w)))&(g&z)))
0
1
0
0
not entailment
(g&k)
(~(k)>~((x>g)))
1
0
0
0
entailment
((~(w)&(c&e))&~(t))
(e|(((c&c)>t)|e))
1
1
1
0
entailment
(g&k)
(e|(((c&c)>t)|e))
0
0
0
0
not entailment
((~(w)&(c&e))&~(t))
(~(k)>~((x>g)))
0
1
0
0
not entailment
(x&(~(x)>z))
((c|c)|(~((c|z))|(x|((z>k)|w))))
1
0
0
0
entailment
((((x&g)|z)>(k|z))&~((b>~(e))))
(~(b)>~(~(((z>(z>g))|g))))
1
1
1
0
entailment
(x&(~(x)>z))
(~(b)>~(~(((z>(z>g))|g))))
0
0
0
0
not entailment
((((x&g)|z)>(k|z))&~((b>~(e))))
((c|c)|(~((c|z))|(x|((z>k)|w))))
0
1
0
0
not entailment
~(((b|(~((b>t))|~(w)))&(b|(t>(g&c)))))
~((k&(g&b)))
1
1
0
0
entailment
~((~(~(z))|((z|c)|(w>(z&x)))))
((((k|(z&x))|((b|e)|e))>(z>c))|((g>c)>e))
1
0
0
0
entailment
~(((b|(~((b>t))|~(w)))&(b|(t>(g&c)))))
((((k|(z&x))|((b|e)|e))>(z>c))|((g>c)>e))
0
1
0
0
not entailment
~((~(~(z))|((z|c)|(w>(z&x)))))
~((k&(g&b)))
0
1
0
0
not entailment
(~((c>x))|(((g|w)|~(g))&((x&w)&b)))
(~(((~(b)>c)>~((c|~((z|(g>e)))))))|b)
1
0
0
0
entailment
((~(w)&c)|(((e&g)|b)&~(w)))
((w>t)&(c|~(((x&w)&x))))
1
1
0
0
entailment
(~((c>x))|(((g|w)|~(g))&((x&w)&b)))
((w>t)&(c|~(((x&w)&x))))
0
1
0
0
not entailment
((~(w)&c)|(((e&g)|b)&~(w)))
(~(((~(b)>c)>~((c|~((z|(g>e)))))))|b)
0
0
0
0
not entailment
~((k|e))
(k>(x&g))
1
1
0
0
entailment
(~(g)&~((x&k)))
(((x&((e>b)>x))>(~((g|e))>(t&k)))>~(g))
1
0
0
0
entailment
~((k|e))
(((x&((e>b)>x))>(~((g|e))>(t&k)))>~(g))
0
0
0
0
not entailment
(~(g)&~((x&k)))
(k>(x&g))
0
1
1
0
not entailment
(e&b)
((b|e)|((((((b&(a&b))&h)>e)>b)&~(h))&b))
1
0
0
0
entailment
((h>(b>h))&a)
(h>a)
1
1
1
1
entailment
(e&b)
(h>a)
0
1
0
0
not entailment
((h>(b>h))&a)
((b|e)|((((((b&(a&b))&h)>e)>b)&~(h))&b))
0
0
0
0
not entailment
((((h>a)|b)&b)&(e&(b|e)))
~(~((~(e)>(b&~(~(~(e)))))))
1
0
1
0
entailment
((((h&(b&e))>a)&(a&(a&(b>(h&b)))))&~(b))
((h>b)>(h>a))
1
1
1
1
entailment
((((h>a)|b)&b)&(e&(b|e)))
((h>b)>(h>a))
0
1
1
0
not entailment
((((h&(b&e))>a)&(a&(a&(b>(h&b)))))&~(b))
~(~((~(e)>(b&~(~(~(e)))))))
0
1
1
0
not entailment
((a>(a>a))>~(~(h)))
(h|e)
1
1
0
0
entailment
(a&a)
(~(((e|h)|~(~((((e|b)>b)>e)))))|a)
1
0
0
0
entailment
((a>(a>a))>~(~(h)))
(~(((e|h)|~(~((((e|b)>b)>e)))))|a)
0
0
0
0
not entailment
(a&a)
(h|e)
0
1
0
0
not entailment
(~(e)|((h|h)&~(h)))
(~((a|(e>a)))>(h&~((e|(h>h)))))
1
0
0
0
entailment
(~((e>h))&e)
(~(((h&((h&b)>~((b>e))))>(e&b)))>(b&h))
1
0
0
0
entailment
(~(e)|((h|h)&~(h)))
(~(((h&((h&b)>~((b>e))))>(e&b)))>(b&h))
0
0
0
0
not entailment
(~((e>h))&e)
(~((a|(e>a)))>(h&~((e|(h>h)))))
0
0
0
0
not entailment
~(~(b))
(((b|a)|b)|(e|e))
1
0
0
0
entailment
~(~(((b>((a>h)&(~(a)&a)))&~((b|a)))))
~((b&e))
1
1
0
0
entailment
~(~(b))
~((b&e))
0
1
0
0
not entailment
~(~(((b>((a>h)&(~(a)&a)))&~((b|a)))))
(((b|a)|b)|(e|e))
0
1
0
0
not entailment
((b&(b|((a|h)|b)))&~((e>(h&h))))
(~(b)|((b>h)>a))
1
1
1
0
entailment
((b>h)&(h>h))
(a>(a>(b>h)))
1
1
0
0
entailment
((b&(b|((a|h)|b)))&~((e>(h&h))))
(a>(a>(b>h)))
0
1
1
0
not entailment
((b>h)&(h>h))
(~(b)|((b>h)>a))
0
0
0
0
not entailment