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
((f&z)&f)
((t|((z>t)|(f|k)))>t)
0
0
0
0
not entailment
(~(t)>(~(z)&(t&(k>k))))
((~(z)>(f>t))&z)
0
1
0
0
not entailment
(z&t)
(t|~(~((k|f))))
1
0
0
0
entailment
(~(f)&z)
~(~((~((t&(f&t)))|((k&k)&(f&t)))))
1
0
0
0
entailment
(z&t)
~(~((~((t&(f&t)))|((k&k)&(f&t)))))
0
0
0
0
not entailment
(~(f)&z)
(t|~(~((k|f))))
0
0
0
0
not entailment
((t&(f&f))&f)
((~((f&k))|(z>k))>f)
1
0
0
0
entailment
(((k&(z&t))|~(z))&z)
((z|f)&(z&t))
1
1
0
0
entailment
((t&(f&f))&f)
((z|f)&(z&t))
0
1
0
0
not entailment
(((k&(z&t))|~(z))&z)
((~((f&k))|(z>k))>f)
0
1
0
0
not entailment
(k>z)
(~((~((k|f))&(z>k)))>(f|(z|f)))
1
0
0
0
entailment
~((((k|(k&(t|k)))&t)>(k&f)))
(((k>f)>t)|(z|t))
1
1
0
0
entailment
(k>z)
(((k>f)>t)|(z|t))
0
0
0
0
not entailment
~((((k|(k&(t|k)))&t)>(k&f)))
(~((~((k|f))&(z>k)))>(f|(z|f)))
0
0
0
0
not entailment
((k&((k>(k>t))|~(k)))&f)
(((z>f)&(z|t))|~(~(k)))
1
1
0
0
entailment
((~(t)&f)&(f>((((k|z)&z)|f)&(t>k))))
(~((t&t))&((~(t)>((k&(z&t))|k))|(t>f)))
1
0
1
0
entailment
((k&((k>(k>t))|~(k)))&f)
(~((t&t))&((~(t)>((k&(z&t))|k))|(t>f)))
0
0
0
0
not entailment
((~(t)&f)&(f>((((k|z)&z)|f)&(t>k))))
(((z>f)&(z|t))|~(~(k)))
0
1
1
0
not entailment
~(((~(f)&t)|(~((f>k))&(~((z&f))&k))))
((k&t)>f)
1
1
1
1
entailment
((z|t)&t)
(k>(t|(((f&(f&t))>f)&~(z))))
1
0
0
0
entailment
~(((~(f)&t)|(~((f>k))&(~((z&f))&k))))
(k>(t|(((f&(f&t))>f)&~(z))))
0
1
1
0
not entailment
((z|t)&t)
((k&t)>f)
0
1
0
0
not entailment
(t&f)
((~(t)>k)>(k|f))
1
0
0
0
entailment
(~((t&((z>((f>k)&k))&k)))&((t|z)&(k|z)))
(z&(t|z))
1
1
1
1
entailment
(t&f)
(z&(t|z))
0
0
0
0
not entailment
(~((t&((z>((f>k)&k))&k)))&((t|z)&(k|z)))
((~(t)>k)>(k|f))
0
1
1
1
not entailment
((((k>z)&z)&(f|t))&f)
(f|z)
1
1
1
1
entailment
(k&((f|z)>~(t)))
((k|t)|k)
1
1
1
0
entailment
((((k>z)&z)&(f|t))&f)
((k|t)|k)
0
1
1
0
not entailment
(k&((f|z)>~(t)))
(f|z)
0
1
1
0
not entailment
(~(~((k|(z|t))))>~((~(((k&t)|z))>k)))
(k>((z>(t|(k|t)))>t))
1
1
1
0
entailment
(~(f)&(t>f))
(~(((~(~(t))>(((z|f)&t)|k))&~(f)))>f)
1
0
0
0
entailment
(~(~((k|(z|t))))>~((~(((k&t)|z))>k)))
(~(((~(~(t))>(((z|f)&t)|k))&~(f)))>f)
0
1
0
0
not entailment
(~(f)&(t>f))
(k>((z>(t|(k|t)))>t))
0
0
0
0
not entailment
((~(~(k))&t)&z)
~(~(((t>k)&k)))
1
1
1
0
entailment
~(~(~(((k|t)|k))))
~(~((~(~((t>((k|(k&k))|f))))>(k>f))))
1
0
0
0
entailment
((~(~(k))&t)&z)
~(~((~(~((t>((k|(k&k))|f))))>(k>f))))
0
0
0
0
not entailment
~(~(~(((k|t)|k))))
~(~(((t>k)&k)))
0
1
1
0
not entailment
(((f>k)|f)&(~(z)>z))
((t|z)>(((t>k)&f)>z))
1
1
0
0
entailment
~(~((t&k)))
((z>t)|((z>z)>(((t|t)|k)>(t|t))))
1
0
0
0
entailment
(((f>k)|f)&(~(z)>z))
((z>t)|((z>z)>(((t|t)|k)>(t|t))))
0
0
0
0
not entailment
~(~((t&k)))
((t|z)>(((t>k)&f)>z))
0
0
0
0
not entailment
~(((z&((k|~(f))|k))>(k|~(z))))
(~((f>k))>z)
1
1
1
1
entailment
((k>z)&f)
((t>t)>f)
1
1
0
0
entailment
~(((z&((k|~(f))|k))>(k|~(z))))
((t>t)>f)
0
1
0
0
not entailment
((k>z)&f)
(~((f>k))>z)
0
0
1
0
not entailment
((((i>i)>i)>(i|h))>(i|i))
((i|~(((i&h)&(i&(i>h)))))>i)
1
0
1
0
entailment
(~(~(~(i)))&((h>(i>i))>h))
((h|h)&h)
1
1
1
1
entailment
((((i>i)>i)>(i|h))>(i|i))
((h|h)&h)
0
1
1
0
not entailment
(~(~(~(i)))&((h>(i>i))>h))
((i|~(((i&h)&(i&(i>h)))))>i)
0
1
1
1
not entailment
(h&i)
(i>(h&h))
1
0
1
0
entailment
(i>~((h&h)))
(i>(i>~(h)))
1
1
1
1
entailment
(h&i)
(i>(i>~(h)))
0
0
1
0
not entailment
(i>~((h&h)))
(i>(h&h))
0
1
1
0
not entailment
((i|i)|h)
((i|h)|i)
1
1
1
1
entailment
((h>i)&(~(h)|(~((i>(h|i)))|(i>~(i)))))
~(h)
1
1
1
1
entailment
((i|i)|h)
~(h)
0
1
1
0
not entailment
((h>i)&(~(h)|(~((i>(h|i)))|(i>~(i)))))
((i|h)|i)
0
1
1
0
not entailment
~((h>~(h)))
((i>i)&h)
1
1
0
0
entailment
(((~(((i|(h&h))&i))|i)>((i&h)|i))|i)
(~(i)>(~(~((i|i)))|(i&(i&i))))
1
1
1
1
entailment
~((h>~(h)))
(~(i)>(~(~((i|i)))|(i&(i&i))))
0
0
0
0
not entailment
(((~(((i|(h&h))&i))|i)>((i&h)|i))|i)
((i>i)&h)
0
1
1
1
not entailment
(~(~(~(~(h))))&h)
((h|i)|h)
1
1
0
0
entailment
~((h&(i|i)))
~(((h&(h>i))|((h&(~(i)&((h&i)>i)))&i)))
1
0
1
0
entailment
(~(~(~(~(h))))&h)
~(((h&(h>i))|((h&(~(i)&((h&i)>i)))&i)))
0
0
0
0
not entailment
~((h&(i|i)))
((h|i)|h)
0
1
1
0
not entailment
(~(~(~(i)))>i)
((~(i)|(i&h))>((h&h)&h))
1
0
0
0
entailment
(~((i>~((h|(h&h)))))|~((h|i)))
~((i&~(h)))
1
1
1
1
entailment
(~(~(~(i)))>i)
~((i&~(h)))
0
1
0
0
not entailment
(~((i>~((h|(h&h)))))|~((h|i)))
((~(i)|(i&h))>((h&h)&h))
0
1
1
1
not entailment
((~(h)>(i>i))&i)
~(~((i&(h>(i|((h&h)&(h&h)))))))
1
0
1
0
entailment
(~((h&(h&(h&i))))>~(~((i>h))))
((i>((~(i)|h)&i))|((h>i)>h))
1
1
1
1
entailment
((~(h)>(i>i))&i)
((i>((~(i)|h)&i))|((h>i)>h))
0
0
1
1
not entailment
(~((h&(h&(h&i))))>~(~((i>h))))
~(~((i&(h>(i|((h&h)&(h&h)))))))
0
1
1
0
not entailment
(i&h)
(h|(i&h))
1
0
1
1
entailment
~((~((h&i))>((h&~((h&i)))|i)))
~((((h|h)|h)&h))
1
1
1
1
entailment
(i&h)
~((((h|h)|h)&h))
0
0
1
0
not entailment
~((~((h&i))>((h&~((h&i)))|i)))
(h|(i&h))
0
1
1
1
not entailment
~(~(~(h)))
(((((i|h)>h)>~((h&(h&(i|i)))))|h)>(h>i))
1
0
0
0
entailment
(~((i|(i&h)))&((h>h)&(i|h)))
((h&(~(~((i|h)))&h))|(i|i))
1
1
1
1
entailment
~(~(~(h)))
((h&(~(~((i|h)))&h))|(i|i))
0
0
0
0
not entailment
(~((i|(i&h)))&((h>h)&(i|h)))
(((((i|h)>h)>~((h&(h&(i|i)))))|h)>(h>i))
0
0
1
1
not entailment
~((i>h))
~(((h|h)&i))
1
0
1
0
entailment
(h|~(((h&i)|i)))
(i>(i>h))
1
1
1
1
entailment
~((i>h))
(i>(i>h))
0
1
1
0
not entailment
(h|~(((h&i)|i)))
~(((h|h)&i))
0
1
1
1
not entailment
~((i&i))
~(~((((~(i)>~(i))|i)>~(i))))
1
0
1
0
entailment
(i&(i>i))
(i&((i>((h|i)|h))|h))
1
0
0
0
entailment
~((i&i))
(i&((i>((h|i)|h))|h))
0
0
0
0
not entailment
(i&(i>i))
~(~((((~(i)>~(i))|i)>~(i))))
0
0
1
1
not entailment
((~((e>e))|(e|e))|(~((e&e))&e))
(e&(e>e))
1
1
1
1
entailment
~(~(~(((e|~(e))>(e&e)))))
(e>~((e&(((e|e)&e)|((e|e)&e)))))
1
0
1
1
entailment
((~((e>e))|(e|e))|(~((e&e))&e))
(e>~((e&(((e|e)&e)|((e|e)&e)))))
0
1
1
1
not entailment
~(~(~(((e|~(e))>(e&e)))))
(e&(e>e))
0
1
1
1
not entailment
((e|e)|(((e|e)|e)&e))
(e|e)
1
1
1
1
entailment
~(e)
(((e&e)>e)>((e>e)&~((e|e))))
1
0
1
0
entailment
((e|e)|(((e|e)|e)&e))
(((e&e)>e)>((e>e)&~((e|e))))
0
0
1
0
not entailment
~(e)
(e|e)
0
1
1
0
not entailment
((e&e)&((e>(e>(e|(e&e))))>((e>e)|(e|e))))
(e|e)
1
1
1
1
entailment
(~(e)|~(((e|(e>e))|((e&e)&(e|e)))))
(((e>(e>e))>~((e>(~(e)>e))))|~(e))
1
1
1
1
entailment