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
((y>x)&((q&d)&(i&i)))
(d&i)
1
1
1
1
entailment
(~((i|x))&~(d))
(d&i)
0
1
1
0
not entailment
((y>x)&((q&d)&(i&i)))
((y|(i>(x|x)))|~((d&(i&i))))
0
0
1
0
not entailment
(x&y)
(l>y)
1
1
0
0
entailment
~((((x&l)>(j|q))|(y|(i>(d>n)))))
((l&(l|((l|j)>n)))|((~(~(l))&~(j))&d))
1
0
1
0
entailment
(x&y)
((l&(l|((l|j)>n)))|((~(~(l))&~(j))&d))
0
0
0
0
not entailment
~((((x&l)>(j|q))|(y|(i>(d>n)))))
(l>y)
0
1
1
0
not entailment
(q&d)
(((j>l)>d)>q)
1
0
0
0
entailment
((j>((n>(n|n))|(j&(d>j))))&i)
~(~(((q&i)|(q>~((x&l))))))
1
1
0
0
entailment
(q&d)
~(~(((q&i)|(q>~((x&l))))))
0
0
0
0
not entailment
((j>((n>(n|n))|(j&(d>j))))&i)
(((j>l)>d)>q)
0
1
0
0
not entailment
~(((j|((n|(i&y))|l))|~(x)))
(((l|(j&l))>x)|i)
1
1
1
0
entailment
~((~(((l|y)&d))>(n>q)))
(~(q)>(((x>n)|d)|q))
1
1
0
0
entailment
~(((j|((n|(i&y))|l))|~(x)))
(~(q)>(((x>n)|d)|q))
0
1
0
0
not entailment
~((~(((l|y)&d))>(n>q)))
(((l|(j&l))>x)|i)
0
1
0
0
not entailment
(j&l)
(l|i)
1
1
0
0
entailment
~((j|((q|(n|j))&(q&d))))
(j>q)
1
1
1
0
entailment
(j&l)
(j>q)
0
1
0
0
not entailment
~((j|((q|(n|j))&(q&d))))
(l|i)
0
1
0
0
not entailment
(d&y)
((~((y|~((((y&j)|i)>n))))&~(q))>l)
1
0
0
0
entailment
~((i|(((d>j)>i)|(j|j))))
~((q&j))
1
1
0
0
entailment
(d&y)
~((q&j))
0
0
0
0
not entailment
~((i|(((d>j)>i)|(j|j))))
((~((y|~((((y&j)|i)>n))))&~(q))>l)
0
0
0
0
not entailment
(l&~((((y|(l|q))&n)>(j|(i>d)))))
(~(q)>((i|(~(q)|(i>i)))>(n&~(j))))
1
0
1
0
entailment
(~(y)&~((~(n)>(x>~((j|x))))))
~(n)
1
1
1
1
entailment
(l&~((((y|(l|q))&n)>(j|(i>d)))))
~(n)
0
1
1
0
not entailment
(~(y)&~((~(n)>(x>~((j|x))))))
(~(q)>((i|(~(q)|(i>i)))>(n&~(j))))
0
0
0
0
not entailment
(~((((((b|e)>e)&i)|(i&i))>k))&~(b))
~(~((p|(p|i))))
1
1
0
0
entailment
(((((e&i)|((k&(k&i))|o))&o)&k)&o)
(((i|o)>k)|(e&(p|(i&o))))
1
1
0
0
entailment
(~((((((b|e)>e)&i)|(i&i))>k))&~(b))
(((i|o)>k)|(e&(p|(i&o))))
0
1
0
0
not entailment
(((((e&i)|((k&(k&i))|o))&o)&k)&o)
~(~((p|(p|i))))
0
1
0
0
not entailment
(k&~(o))
(((o>(b>(k|i)))>((k|o)&e))>(~(i)>e))
1
0
0
0
entailment
((p&(o&(e>k)))&(b|(o>b)))
(o|(~(~((b&~(i))))&~((e>~(b)))))
1
0
0
0
entailment
(k&~(o))
(o|(~(~((b&~(i))))&~((e>~(b)))))
0
0
0
0
not entailment
((p&(o&(e>k)))&(b|(o>b)))
(((o>(b>(k|i)))>((k|o)&e))>(~(i)>e))
0
0
0
0
not entailment
((k|o)&((~(i)|b)&(k&e)))
(~(~((~(p)|k)))&e)
1
1
0
0
entailment
~(o)
~((((p>o)&(e&o))&(b|b)))
1
0
0
0
entailment
((k|o)&((~(i)|b)&(k&e)))
~((((p>o)&(e&o))&(b|b)))
0
1
0
0
not entailment
~(o)
(~(~((~(p)|k)))&e)
0
0
0
0
not entailment
~(((k>(p>(k>i)))&(i|(((o>e)|(e|p))&b))))
((((k>e)|p)&(k&o))>~((e&i)))
1
1
1
0
entailment
((k|k)&k)
(((o&~((o&e)))&e)|(i|k))
1
0
0
0
entailment
~(((k>(p>(k>i)))&(i|(((o>e)|(e|p))&b))))
(((o&~((o&e)))&e)|(i|k))
0
1
1
0
not entailment
((k|k)&k)
((((k>e)|p)&(k&o))>~((e&i)))
0
0
0
0
not entailment
(~((k&e))&k)
(o|k)
1
1
0
0
entailment
~((k|p))
~(((k|k)&(i>o)))
1
0
0
0
entailment
(~((k&e))&k)
~(((k|k)&(i>o)))
0
0
0
0
not entailment
~((k|p))
(o|k)
0
1
0
0
not entailment
(k&i)
(k>i)
1
1
1
0
entailment
(~(~((o|b)))>~(~(((i&o)&p))))
((e|(i|((i>b)|k)))&((o&i)>(b>p)))
1
1
0
0
entailment
(k&i)
((e|(i|((i>b)|k)))&((o&i)>(b>p)))
0
0
0
0
not entailment
(~(~((o|b)))>~(~(((i&o)&p))))
(k>i)
0
1
0
0
not entailment
(((((e&o)|k)&p)|((b|~(e))>(b|e)))&(b&b))
(((i|b)|b)|((b|i)|~((((o&p)>e)|e))))
1
1
0
0
entailment
(((o&k)>(p&(k>k)))&((p|o)|o))
((p&e)|(o|(o|p)))
1
1
0
0
entailment
(((((e&o)|k)&p)|((b|~(e))>(b|e)))&(b&b))
((p&e)|(o|(o|p)))
0
1
1
1
not entailment
(((o&k)>(p&(k>k)))&((p|o)|o))
(((i|b)|b)|((b|i)|~((((o&p)>e)|e))))
0
0
0
0
not entailment
(((i&i)|(p&o))&(i>o))
((o&p)|o)
1
1
1
1
entailment
((~((o>e))>~(~(k)))&((e|i)&(o>i)))
(b|~(((o|b)&~(i))))
1
1
0
0
entailment
(((i&i)|(p&o))&(i>o))
(b|~(((o|b)&~(i))))
0
1
0
0
not entailment
((~((o>e))>~(~(k)))&((e|i)&(o>i)))
((o&p)|o)
0
1
0
0
not entailment
(((p>i)&~((b>(p|~(~(~(i)))))))&i)
(k|(i|e))
1
1
0
0
entailment
(k>~(~((o|o))))
(((k&i)&k)>o)
1
1
0
0
entailment
(((p>i)&~((b>(p|~(~(~(i)))))))&i)
(((k&i)&k)>o)
0
1
0
0
not entailment
(k>~(~((o|o))))
(k|(i|e))
0
1
0
0
not entailment
~((((e&~((e>(p|k))))&(k&(i&e)))|k))
((i|k)>(~((i|i))>i))
1
1
1
0
entailment
(e&(e|((((o>k)|i)|k)&~((~(i)&o)))))
(i|((e|(b>p))|(p&(p>o))))
1
1
0
0
entailment
~((((e&~((e>(p|k))))&(k&(i&e)))|k))
(i|((e|(b>p))|(p&(p>o))))
0
1
0
0
not entailment
(e&(e|((((o>k)|i)|k)&~((~(i)&o)))))
((i|k)>(~((i|i))>i))
0
1
1
0
not entailment
(((~((e>e))&p)>(o&~((e|o))))>o)
(o|(p>e))
1
1
1
0
entailment
(~((((p|o)&b)>(b>b)))|b)
(~(~((p>i)))>(b|p))
1
1
0
0
entailment
(((~((e>e))&p)>(o&~((e|o))))>o)
(~(~((p>i)))>(b|p))
0
1
0
0
not entailment
(~((((p|o)&b)>(b>b)))|b)
(o|(p>e))
0
1
0
0
not entailment
~(b)
((((p>e)>p)&(o>(i&i)))>((o>b)>~(b)))
1
0
0
0
entailment
((k&b)&((k>e)&o))
(i|(b&o))
1
1
0
0
entailment
~(b)
(i|(b&o))
0
0
0
0
not entailment
((k&b)&((k>e)&o))
((((p>e)>p)&(o>(i&i)))>((o>b)>~(b)))
0
0
0
0
not entailment
((o&(b&o))&(~(o)>(o&b)))
(((e>e)&p)|(o&(b|i)))
1
1
0
0
entailment
(~(((~((k>(p&o)))|k)|k))&(i&~((e|e))))
(i|p)
1
1
1
1
entailment
((o&(b&o))&(~(o)>(o&b)))
(i|p)
0
1
0
0
not entailment
(~(((~((k>(p&o)))|k)|k))&(i&~((e|e))))
(((e>e)&p)|(o&(b|i)))
0
1
0
0
not entailment
(o&p)
(~((o|(b|k)))|o)
1
0
0
0
entailment
~(((p|(e|o))>(~(p)>o)))
~(~(e))
1
1
1
1
entailment
(o&p)
~(~(e))
0
0
0
0
not entailment
~(((p|(e|o))>(~(p)>o)))
(~((o|(b|k)))|o)
0
1
0
0
not entailment
(i&k)
(i|((p>k)|((k>b)>i)))
1
0
0
0
entailment
~(b)
~(((e>(k&b))&(b&o)))
1
0
0
0
entailment
(i&k)
~(((e>(k&b))&(b&o)))
0
0
0
0
not entailment
~(b)
(i|((p>k)|((k>b)>i)))
0
0
0
0
not entailment
(((i>(r|(r|r)))&(i>((p|r)|r)))&(i|(h&i)))
(((i>i)&r)|r)
1
1
1
1
entailment
(((h>i)&(p>h))&((~(p)|h)>p))
(p&((p|r)|i))
1
1
0
0
entailment
(((i>(r|(r|r)))&(i>((p|r)|r)))&(i|(h&i)))
(p&((p|r)|i))
0
1
1
1
not entailment
(((h>i)&(p>h))&((~(p)|h)>p))
(((i>i)&r)|r)
0
1
0
0
not entailment
~(~(r))
~(~(((r|p)&(r&r))))
1
0
0
0
entailment
((~(((p|h)|(i>h)))|((r&(p|r))|(r&r)))&i)
~(~((i|p)))
1
1
1
1
entailment
~(~(r))
~(~((i|p)))
0
0
0
0
not entailment
((~(((p|h)|(i>h)))|((r&(p|r))|(r&r)))&i)
~(~(((r|p)&(r&r))))
0
1
1
1
not entailment
~((~(i)>((~(h)|~(p))|r)))
~(~((i|(p&(h>h)))))
1
1
1
0
entailment
(((h|r)&((i|r)|(r|i)))&~(h))
~((r>(~(r)&~((i>(i|(i&p)))))))
1
0
0
0
entailment
~((~(i)>((~(h)|~(p))|r)))
~((r>(~(r)&~((i>(i|(i&p)))))))
0
0
1
0
not entailment
(((h|r)&((i|r)|(r|i)))&~(h))
~(~((i|(p&(h>h)))))
0
1
0
0
not entailment
(((r&i)&((h&r)|r))&(i|p))
(i|((i>~(h))>(h>(h>p))))
1
1
1
0
entailment