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
(((r>p)&~((~(i)>(h>i))))|h)
(h&(h>(~(((h|((i&r)|r))>~(h)))>h)))
1
0
1
0
entailment
(((r&i)&((h&r)|r))&(i|p))
(h&(h>(~(((h|((i&r)|r))>~(h)))>h)))
0
0
1
0
not entailment
(((r>p)&~((~(i)>(h>i))))|h)
(i|((i>~(h))>(h>(h>p))))
0
1
1
0
not entailment
(((h|r)&r)&p)
~(~(r))
1
1
1
1
entailment
((i&h)|~((i>i)))
((((r>r)&(~(r)>i))&(((h&i)&h)|i))>h)
1
0
0
0
entailment
(((h|r)&r)&p)
((((r>r)&(~(r)>i))&(((h&i)&h)|i))>h)
0
0
0
0
not entailment
((i&h)|~((i>i)))
~(~(r))
0
1
0
0
not entailment
((~(h)&h)|p)
((p>h)>(i>h))
1
1
0
0
entailment
~((h|((i|h)>p)))
(p>h)
1
1
1
1
entailment
((~(h)&h)|p)
(p>h)
0
1
1
0
not entailment
~((h|((i|h)>p)))
((p>h)>(i>h))
0
1
1
0
not entailment
(((i|r)>h)&r)
(h|i)
1
1
1
0
entailment
(((p|p)|p)&p)
(h>p)
1
1
0
0
entailment
(((i|r)>h)&r)
(h>p)
0
1
0
0
not entailment
(((p|p)|p)&p)
(h|i)
0
1
0
0
not entailment
((p>h)&((p>p)>(r&p)))
((~(i)|r)&p)
1
1
0
0
entailment
(i&(i>(h&~(~(~(r))))))
((i&((r>i)&(p|h)))|i)
1
1
0
0
entailment
((p>h)&((p>p)>(r&p)))
((i&((r>i)&(p|h)))|i)
0
1
0
0
not entailment
(i&(i>(h&~(~(~(r))))))
((~(i)|r)&p)
0
1
0
0
not entailment
~(((r>(h|(i|i)))>(i|(p|h))))
~(((p>(p&h))&i))
1
1
1
0
entailment
(i&r)
~(~((((i&i)|h)&(i>~(~((p|r)))))))
1
0
0
0
entailment
~(((r>(h|(i|i)))>(i|(p|h))))
~(~((((i&i)|h)&(i>~(~((p|r)))))))
0
0
1
0
not entailment
(i&r)
~(((p>(p&h))&i))
0
0
0
0
not entailment
(h|h)
(((p&r)>~((~((r&~(~(i))))&h)))>(h|r))
1
0
0
0
entailment
~(((p|p)&((~(~(r))|r)>p)))
(~(~((p&h)))>~((((i>p)&(h>h))|i)))
1
0
0
0
entailment
(h|h)
(~(~((p&h)))>~((((i>p)&(h>h))|i)))
0
0
0
0
not entailment
~(((p|p)&((~(~(r))|r)>p)))
(((p&r)>~((~((r&~(~(i))))&h)))>(h|r))
0
0
0
0
not entailment
((p|p)&i)
((~(((p&p)|(r|r)))>(r>r))>p)
1
0
0
0
entailment
(~(i)&(~(h)&r))
(r|(h>(~(h)&(r|h))))
1
0
1
0
entailment
((p|p)&i)
(r|(h>(~(h)&(r|h))))
0
0
0
0
not entailment
(~(i)&(~(h)&r))
((~(((p&p)|(r|r)))>(r>r))>p)
0
0
0
0
not entailment
(((r&h)&h)|(((((p|i)&(h&p))>(h&r))|r)&i))
((p>h)>(r|i))
1
1
1
0
entailment
(~(h)|p)
(h>(((p|i)&(~(p)|h))&h))
1
0
0
0
entailment
(((r&h)&h)|(((((p|i)&(h&p))>(h&r))|r)&i))
(h>(((p|i)&(~(p)|h))&h))
0
1
1
0
not entailment
(~(h)|p)
((p>h)>(r|i))
0
0
0
0
not entailment
~(p)
~((((~(r)&~((r>p)))>h)&p))
1
0
0
0
entailment
(~((~((~(p)|~(h)))&i))&r)
((i>p)>(~((i|h))>(p|r)))
1
1
1
0
entailment
~(p)
((i>p)>(~((i|h))>(p|r)))
0
0
0
0
not entailment
(~((~((~(p)|~(h)))&i))&r)
~((((~(r)&~((r>p)))>h)&p))
0
1
1
0
not entailment
~(~(((~(r)>p)&h)))
((h&i)|(~(r)>h))
1
1
0
0
entailment
~(((r|p)&p))
(((p|i)|h)>~((p&h)))
1
0
0
0
entailment
~(~(((~(r)>p)&h)))
(((p|i)|h)>~((p&h)))
0
1
0
0
not entailment
~(((r|p)&p))
((h&i)|(~(r)>h))
0
0
0
0
not entailment
(~(i)>~((((i&i)>(i>(p&p)))>((i&r)>i))))
((~((h|(p|p)))>(p>(h>p)))&(p>i))
1
1
0
0
entailment
((r&r)>((~(h)|i)&p))
(r>p)
1
1
1
1
entailment
(~(i)>~((((i&i)>(i>(p&p)))>((i&r)>i))))
(r>p)
0
1
1
0
not entailment
((r&r)>((~(h)|i)&p))
((~((h|(p|p)))>(p>(h>p)))&(p>i))
0
0
1
0
not entailment
(m&(~(((((i|z)>m)|(i>b))|(b|m)))|q))
((q|m)|(z&i))
1
1
1
1
entailment
~(((z&~((m&b)))|(z|((b>~(b))|~(i)))))
((~(~(i))|(m&~(z)))|b)
1
1
1
1
entailment
(m&(~(((((i|z)>m)|(i>b))|(b|m)))|q))
((~(~(i))|(m&~(z)))|b)
0
1
1
0
not entailment
~(((z&~((m&b)))|(z|((b>~(b))|~(i)))))
((q|m)|(z&i))
0
1
0
0
not entailment
~(((m>(z&i))>q))
(~((~(z)>((i|m)>q)))|((q>(z>b))|(z&m)))
1
0
0
0
entailment
~((((i&i)>m)|(z&m)))
((z>((~(m)>z)>b))|(((i>q)&(m&z))|i))
1
0
0
0
entailment
~(((m>(z&i))>q))
((z>((~(m)>z)>b))|(((i>q)&(m&z))|i))
0
0
0
0
not entailment
~((((i&i)>m)|(z&m)))
(~((~(z)>((i|m)>q)))|((q>(z>b))|(z&m)))
0
0
0
0
not entailment
(((q>b)&z)&~(((q&(b>i))>~(z))))
(((z|b)>((z|b)>(m>z)))>q)
1
1
0
0
entailment
((b&(b|z))&m)
((b&(q>m))|~((~(i)>q)))
1
0
0
0
entailment
(((q>b)&z)&~(((q&(b>i))>~(z))))
((b&(q>m))|~((~(i)>q)))
0
1
0
0
not entailment
((b&(b|z))&m)
(((z|b)>((z|b)>(m>z)))>q)
0
0
0
0
not entailment
((m&(q&q))|~(((q>m)|~(~(b)))))
(((b|((z|m)&i))>(b&b))>(q|m))
1
1
0
0
entailment
(~((q&z))|((m|m)&(b|(m>b))))
(((q&(m>m))>(i&(q|m)))|((((z|b)|i)|z)>b))
1
0
0
0
entailment
((m&(q&q))|~(((q>m)|~(~(b)))))
(((q&(m>m))>(i&(q|m)))|((((z|b)|i)|z)>b))
0
0
0
0
not entailment
(~((q&z))|((m|m)&(b|(m>b))))
(((b|((z|m)&i))>(b&b))>(q|m))
0
1
0
0
not entailment
((~(~(b))&~(~((i&z))))|((i>b)&i))
(~(((m|z)>q))>(~((z|(i|i)))>(b&(m&m))))
1
0
0
0
entailment
~((z|~(~(b))))
(b>(~((~((m>m))>m))|~(~(q))))
1
0
0
0
entailment
((~(~(b))&~(~((i&z))))|((i>b)&i))
(b>(~((~((m>m))>m))|~(~(q))))
0
1
0
0
not entailment
~((z|~(~(b))))
(~(((m|z)>q))>(~((z|(i|i)))>(b&(m&m))))
0
0
0
0
not entailment
~(((m&i)|(((i&i)|~(z))>(~(z)&~(b)))))
(((b>b)&(m>b))|(~(z)>i))
1
1
1
0
entailment
~((m>b))
((q|m)|~((~(~(m))|(q>z))))
1
0
0
0
entailment
~(((m&i)|(((i&i)|~(z))>(~(z)&~(b)))))
((q|m)|~((~(~(m))|(q>z))))
0
1
0
0
not entailment
~((m>b))
(((b>b)&(m>b))|(~(z)>i))
0
0
0
0
not entailment
((z|q)&(((i|b)>~(q))|(m&z)))
((m>z)|q)
1
1
1
0
entailment
(i&m)
(~(~(((z&m)>b)))>((~((b&i))&z)>b))
1
0
0
0
entailment
((z|q)&(((i|b)>~(q))|(m&z)))
(~(~(((z&m)>b)))>((~((b&i))&z)>b))
0
0
1
0
not entailment
(i&m)
((m>z)|q)
0
0
0
0
not entailment
((q&i)|(~(~(q))&(b|b)))
(q|i)
1
1
1
1
entailment
~((z|m))
~(m)
1
1
1
1
entailment
((q&i)|(~(~(q))&(b|b)))
~(m)
0
1
0
0
not entailment
~((z|m))
(q|i)
0
1
0
0
not entailment
~((((q&~(i))&b)>((~((m|i))|b)>(m|m))))
(((m|q)>q)|((i|b)&b))
1
1
1
0
entailment
~(((b|i)>z))
(z>((i>z)>(~(m)&((i>i)&i))))
1
0
0
0
entailment
~((((q&~(i))&b)>((~((m|i))|b)>(m|m))))
(z>((i>z)>(~(m)&((i>i)&i))))
0
1
0
0
not entailment
~(((b|i)>z))
(((m|q)>q)|((i|b)&b))
0
0
0
0
not entailment
((i&((b&m)&((b&b)>z)))&m)
(~(~((b>(~(~(m))&(b|q)))))>m)
1
0
0
0
entailment
~(~(~((~(z)>q))))
((~((m|(i&(m&(i>m)))))&i)|(z>(b>q)))
1
0
0
0
entailment
((i&((b&m)&((b&b)>z)))&m)
((~((m|(i&(m&(i>m)))))&i)|(z>(b>q)))
0
0
0
0
not entailment
~(~(~((~(z)>q))))
(~(~((b>(~(~(m))&(b|q)))))>m)
0
0
0
0
not entailment
(~((((z|(b&m))&(b|i))|(b|~(q))))&i)
((b>q)|~(~(((z|i)|(i|(b>(z|i)))))))
1
1
1
0
entailment
~(i)
((b|(i&m))|(i>m))
1
0
0
0
entailment
(~((((z|(b&m))&(b|i))|(b|~(q))))&i)
((b|(i&m))|(i>m))
0
1
1
0
not entailment
~(i)
((b>q)|~(~(((z|i)|(i|(b>(z|i)))))))
0
0
0
0
not entailment
(m&((i&z)|~(((z&~(b))&i))))
((z&(z&m))|(z>b))
1
1
1
1
entailment
((z|m)&((m|~(m))>q))
(((m&b)>(b|b))>q)
1
1
0
0
entailment
(m&((i&z)|~(((z&~(b))&i))))
(((m&b)>(b|b))>q)
0
1
0
0
not entailment
((z|m)&((m|~(m))>q))
((z&(z&m))|(z>b))
0
1
0
0
not entailment
(((z>z)|(z>b))>b)
(i>b)
1
1
0
0
entailment
((z>(q&m))&z)
(((q>i)|m)>(~((z&(z>(i|m))))>(m|q)))
1
0
0
0
entailment
(((z>z)|(z>b))>b)
(((q>i)|m)>(~((z&(z>(i|m))))>(m|q)))
0
0
0
0
not entailment
((z>(q&m))&z)
(i>b)
0
1
0
0
not entailment
(~((b>i))|~((~(z)|(m>i))))
(((m&i)>b)|q)
1
1
0
0
entailment