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)
(~((k&(v&o)))|~(~((v&z))))
0
0
0
0
not entailment
~((((f&((b&r)&n))>~(y))|(i|o)))
(((g&b)&(b|(b|l)))|(~(r)|(y&(l>r))))
1
0
0
0
entailment
((l|((n|~(b))>(((l|o)|b)>i)))&(r>o))
(g>(g>(r>(((o>t)|r)&(i|(r>o))))))
1
1
0
0
entailment
~((((f&((b&r)&n))>~(y))|(i|o)))
(g>(g>(r>(((o>t)|r)&(i|(r>o))))))
0
1
0
0
not entailment
((l|((n|~(b))>(((l|o)|b)>i)))&(r>o))
(((g&b)&(b|(b|l)))|(~(r)|(y&(l>r))))
0
1
0
0
not entailment
(t&y)
((y&~(t))>~(((f>o)>((n|f)|(t&b)))))
1
0
0
0
entailment
((o|b)>~((r>(o>o))))
((o>~((n&(t>g))))|(n>b))
1
0
0
0
entailment
(t&y)
((o>~((n&(t>g))))|(n>b))
0
0
0
0
not entailment
((o|b)>~((r>(o>o))))
((y&~(t))>~(((f>o)>((n|f)|(t&b)))))
0
0
0
0
not entailment
(~(~((g&(n>o))))&(((f&n)>((i&n)&y))&t))
(~(t)|(g|f))
1
1
1
0
entailment
(~((b|~((~((g>~(o)))>(f&y)))))&n)
~(~(((l>~(b))|i)))
1
1
0
0
entailment
(~(~((g&(n>o))))&(((f&n)>((i&n)&y))&t))
~(~(((l>~(b))|i)))
0
1
0
0
not entailment
(~((b|~((~((g>~(o)))>(f&y)))))&n)
(~(t)|(g|f))
0
1
0
0
not entailment
((~((((o&n)|r)&t))|((g>((i|o)&l))|l))&t)
(t|~(l))
1
1
1
0
entailment
((~(i)>(n>n))&(~(r)|(o&~((r&o)))))
~((~(g)&r))
1
1
0
0
entailment
((~((((o&n)|r)&t))|((g>((i|o)&l))|l))&t)
~((~(g)&r))
0
1
1
0
not entailment
((~(i)>(n>n))&(~(r)|(o&~((r&o)))))
(t|~(l))
0
1
0
0
not entailment
((t&((y>l)>~((f>t))))|n)
(n|(t|((y|f)&t)))
1
1
1
1
entailment
((o&y)&(~(o)>f))
((n>y)|~(i))
1
1
0
0
entailment
((t&((y>l)>~((f>t))))|n)
((n>y)|~(i))
0
1
0
0
not entailment
((o&y)&(~(o)>f))
(n|(t|((y|f)&t)))
0
1
0
0
not entailment
~(((g|(n>g))>b))
((r|t)>(b>g))
1
1
0
0
entailment
(((t>g)&b)&~((n&(o|f))))
((~(i)|l)>((((t&b)|(i&f))|i)>b))
1
0
0
0
entailment
~(((g|(n>g))>b))
((~(i)|l)>((((t&b)|(i&f))|i)>b))
0
0
0
0
not entailment
(((t>g)&b)&~((n&(o|f))))
((r|t)>(b>g))
0
1
0
0
not entailment
(g&(t&(f>l)))
((g|g)>(((g&i)|y)|((o&y)|(t|(b|t)))))
1
0
0
0
entailment
~((t|((b&o)&r)))
~((g&(t|t)))
1
1
0
0
entailment
(g&(t&(f>l)))
~((g&(t|t)))
0
1
1
0
not entailment
~((t|((b&o)&r)))
((g|g)>(((g&i)|y)|((o&y)|(t|(b|t)))))
0
0
0
0
not entailment
~((((~(t)|r)|~(y))|(n&(b&r))))
(((l&t)>(o&((l&b)|f)))>~((~(l)&r)))
1
0
0
0
entailment
(~(~((t|(n>(b|i)))))&(~(o)&g))
((g|~((f&(t>(i|f)))))|(g&~(y)))
1
1
0
0
entailment
~((((~(t)|r)|~(y))|(n&(b&r))))
((g|~((f&(t>(i|f)))))|(g&~(y)))
0
1
0
0
not entailment
(~(~((t|(n>(b|i)))))&(~(o)&g))
(((l&t)>(o&((l&b)|f)))>~((~(l)&r)))
0
0
0
0
not entailment
((((o|f)|(l&i))&o)&(~((i&(r>r)))|y))
(((((g&n)>i)|(l|b))>(l&o))|o)
1
1
0
0
entailment
~((~(~((g&b)))|((r|i)>i)))
(((~((o>y))&i)|g)|r)
1
1
0
0
entailment
((((o|f)|(l&i))&o)&(~((i&(r>r)))|y))
(((~((o>y))&i)|g)|r)
0
1
0
0
not entailment
~((~(~((g&b)))|((r|i)>i)))
(((((g&n)>i)|(l|b))>(l&o))|o)
0
1
0
0
not entailment
~(~(((l|g)>(~((n>n))&~(((i&t)&t))))))
~((o&l))
1
1
0
0
entailment
((o&i)&(l&(f&((b|f)>(n&b)))))
~((n&~((~(o)|(b&f)))))
1
1
1
0
entailment
~(~(((l|g)>(~((n>n))&~(((i&t)&t))))))
~((n&~((~(o)|(b&f)))))
0
1
0
0
not entailment
((o&i)&(l&(f&((b|f)>(n&b)))))
~((o&l))
0
1
1
0
not entailment
~((y>(t|l)))
(~(~(~(t)))|(((g>i)>(i>y))|n))
1
0
0
0
entailment
((~(g)|n)>((g&r)&l))
(n>l)
1
1
1
1
entailment
~((y>(t|l)))
(n>l)
0
1
0
0
not entailment
((~(g)|n)>((g&r)&l))
(~(~(~(t)))|(((g>i)>(i>y))|n))
0
0
0
0
not entailment
~((((y&y)&t)|(t|i)))
(t>n)
1
1
0
0
entailment
(g&((g&(b&o))&g))
~((y&(~((b|b))&~(~((g>(l>i)))))))
1
0
0
0
entailment
~((((y&y)&t)|(t|i)))
~((y&(~((b|b))&~(~((g>(l>i)))))))
0
0
0
0
not entailment
(g&((g&(b&o))&g))
(t>n)
0
1
0
0
not entailment
(b|(r&~(~(~((i>~((~(r)|r))))))))
~(~((((y|i)|t)>((i|f)|b))))
1
1
0
0
entailment
((f|t)&g)
(i>(~(((~(t)&i)&o))|(~(~(o))&f)))
1
0
0
0
entailment
(b|(r&~(~(~((i>~((~(r)|r))))))))
(i>(~(((~(t)&i)&o))|(~(~(o))&f)))
0
1
0
0
not entailment
((f|t)&g)
~(~((((y|i)|t)>((i|f)|b))))
0
0
0
0
not entailment
((g|(g>((r>r)|~(((g|l)|~(f))))))>f)
(((l>~(i))&~(~((n|o))))|f)
1
1
0
0
entailment
~((g|~((o&(~((n|r))>~(l))))))
((b|b)>(g>(f>r)))
1
1
0
0
entailment
((g|(g>((r>r)|~(((g|l)|~(f))))))>f)
((b|b)>(g>(f>r)))
0
1
0
0
not entailment
~((g|~((o&(~((n|r))>~(l))))))
(((l>~(i))&~(~((n|o))))|f)
0
1
0
0
not entailment
~((t>~(((g&r)|l))))
(((g>~(n))>((i|l)>r))|((l|n)&~(r)))
1
0
0
0
entailment
((n|i)&y)
((g>y)|(~((f>(r>o)))|~((n>r))))
1
0
0
0
entailment
~((t>~(((g&r)|l))))
((g>y)|(~((f>(r>o)))|~((n>r))))
0
0
0
0
not entailment
((n|i)&y)
(((g>~(n))>((i|l)>r))|((l|n)&~(r)))
0
0
0
0
not entailment
((b>i)>((~(l)&l)&~(f)))
((f>g)|(~(i)|(((i>g)|i)>r)))
1
0
0
0
entailment
~(((i>((~(~((f&y)))|o)|r))|(f&n)))
(((i|t)&i)|((o&((r|n)|(f|t)))|(i|y)))
1
1
0
0
entailment
((b>i)>((~(l)&l)&~(f)))
(((i|t)&i)|((o&((r|n)|(f|t)))|(i|y)))
0
0
0
0
not entailment
~(((i>((~(~((f&y)))|o)|r))|(f&n)))
((f>g)|(~(i)|(((i>g)|i)>r)))
0
1
0
0
not entailment
~((((b>b)>i)|l))
~(((i&n)&((b|(l|~((l&r))))>l)))
1
0
0
0
entailment
~((t>(((b&o)>~(l))&y)))
(t|((~(i)|(o>r))&i))
1
1
0
0
entailment
~((((b>b)>i)|l))
(t|((~(i)|(o>r))&i))
0
0
0
0
not entailment
~((t>(((b&o)>~(l))&y)))
~(((i&n)&((b|(l|~((l&r))))>l)))
0
0
0
0
not entailment
((y&(((g>b)&g)>o))&~((((g|y)&r)&(n&l))))
(y|r)
1
1
1
0
entailment
~(((~(b)|((l|f)>f))|f))
(((f>l)&g)|~((l>~((((l&y)>t)|(l&l))))))
1
0
0
0
entailment
((y&(((g>b)&g)>o))&~((((g|y)&r)&(n&l))))
(((f>l)&g)|~((l>~((((l&y)>t)|(l&l))))))
0
1
0
0
not entailment
~(((~(b)|((l|f)>f))|f))
(y|r)
0
1
0
0
not entailment
~((~(~(~(y)))>t))
(((g>(i|g))&(y>r))&(((n>b)|(o|o))|~(o)))
1
0
0
0
entailment
(~(((b|(i&i))>(r|b)))&t)
((~(~(t))>~(i))>(n&f))
1
1
0
0
entailment
~((~(~(~(y)))>t))
((~(~(t))>~(i))>(n&f))
0
0
0
0
not entailment
(~(((b|(i&i))>(r|b)))&t)
(((g>(i|g))&(y>r))&(((n>b)|(o|o))|~(o)))
0
0
0
0
not entailment
((r&(f>(r>~((i|t)))))&(r&(f&o)))
(n>f)
1
1
0
0
entailment
(b|(f&b))
((((~(g)>~(g))&(o&~(f)))>(l|b))>(n>b))
1
0
0
0
entailment
((r&(f>(r>~((i|t)))))&(r&(f&o)))
((((~(g)>~(g))&(o&~(f)))>(l|b))>(n>b))
0
0
0
0
not entailment
(b|(f&b))
(n>f)
0
1
0
0
not entailment
~((t|~((n&j))))
((n&j)|(n&(((j>t)>h)>h)))
1
0
0
0
entailment
((t>j)&(h&((j>j)>(t&t))))
(((h|t)>h)&h)
1
1
1
0
entailment
~((t|~((n&j))))
(((h|t)>h)&h)
0
1
0
0
not entailment
((t>j)&(h&((j>j)>(t&t))))
((n&j)|(n&(((j>t)>h)>h)))
0
1
0
0
not entailment
~(((h|j)&((n&h)|(~((j&t))|(n|j)))))
(h>((n>n)>~((~((j|n))&h))))
1
1
1
0
entailment
(((n&t)|(n|t))&((t&h)&(h>t)))
(j|(((t&(h>t))&(j>j))>(h|~(~(n)))))
1
0
0
0
entailment
~(((h|j)&((n&h)|(~((j&t))|(n|j)))))
(j|(((t&(h>t))&(j>j))>(h|~(~(n)))))
0
1
1
0
not entailment
(((n&t)|(n|t))&((t&h)&(h>t)))
(h>((n>n)>~((~((j|n))&h))))
0
1
0
0
not entailment
((~((j|j))>(t&(j>t)))&(n&h))
(j>(~(((h&h)&((t&j)&~(t))))&h))
1
0
1
0
entailment
(((h>h)|j)&(n&(j&t)))
((((n&(n>t))&j)|j)&t)
1
1
1
0
entailment
((~((j|j))>(t&(j>t)))&(n&h))
((((n&(n>t))&j)|j)&t)
0
1
1
0
not entailment
(((h>h)|j)&(n&(j&t)))
(j>(~(((h&h)&((t&j)&~(t))))&h))
0
0
1
0
not entailment
(h&n)
~(~(n))
1
0
1
1
entailment
((j&t)&(~(h)|t))
(j>t)
1
1
1
0
entailment
(h&n)
(j>t)
0
1
0
0
not entailment
((j&t)&(~(h)|t))
~(~(n))
0
1
0
0
not entailment
((h|~(n))&~(((n>(~(n)|n))&~((t&n)))))
(((h&h)>(h|(j>n)))>n)
1
1
0
0
entailment
(((((t>h)|n)|t)&j)&(n|t))
(((t>(n&j))>~(j))>((t>n)>(~(h)|j)))
1
0
1
0
entailment
((h|~(n))&~(((n>(~(n)|n))&~((t&n)))))
(((t>(n&j))>~(j))>((t>n)>(~(h)|j)))
0
1
0
0
not entailment