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&(u|(y|(w|j))))&w)
((b>w)|u)
1
1
0
0
entailment
((r>(r|~(o)))>x)
(u>(h>(b>x)))
1
1
0
0
entailment
((u&(u|(y|(w|j))))&w)
(u>(h>(b>x)))
0
1
0
0
not entailment
((r>(r|~(o)))>x)
((b>w)|u)
0
1
0
0
not entailment
(((j>(x|o))&(i|r))&((x|h)&r))
((h|x)|w)
1
1
0
0
entailment
~((o>(h|y)))
~((h&((y>y)|(w&x))))
1
0
0
0
entailment
(((j>(x|o))&(i|r))&((x|h)&r))
~((h&((y>y)|(w&x))))
0
1
0
0
not entailment
~((o>(h|y)))
((h|x)|w)
0
1
0
0
not entailment
~((~(~(~(r)))|~(~((j&j)))))
~(~((r|j)))
1
1
1
0
entailment
((((~(y)>y)>(w|(b>j)))>~(r))&o)
~(((i&~(w))&((o|b)&~((r>(b&r))))))
1
0
0
0
entailment
~((~(~(~(r)))|~(~((j&j)))))
~(((i&~(w))&((o|b)&~((r>(b&r))))))
0
0
0
0
not entailment
((((~(y)>y)>(w|(b>j)))>~(r))&o)
~(~((r|j)))
0
1
1
0
not entailment
((o|(((b>h)|b)&x))&(i&x))
(w|(y|(x|h)))
1
1
0
0
entailment
~(~(j))
(h>~((~((j&j))&(~(o)&r))))
1
0
0
0
entailment
((o|(((b>h)|b)&x))&(i&x))
(h>~((~((j&j))&(~(o)&r))))
0
0
0
0
not entailment
~(~(j))
(w|(y|(x|h)))
0
0
0
0
not entailment
(w|(x&i))
((~((x|y))>w)|(u&y))
1
0
0
0
entailment
~(((((h>r)&~(y))&~(r))>((j>w)>w)))
~((((~(((u|(h>u))>w))>w)&x)&(b>w)))
1
1
0
0
entailment
(w|(x&i))
~((((~(((u|(h>u))>w))>w)&x)&(b>w)))
0
0
0
0
not entailment
~(((((h>r)&~(y))&~(r))>((j>w)>w)))
((~((x|y))>w)|(u&y))
0
1
0
0
not entailment
((h|(j>r))&y)
(y|~((b&(w>u))))
1
0
0
0
entailment
(j&((i&(o>w))&(~(h)&~((o|~(j))))))
((~(r)>y)>((y>j)&(j|b)))
1
1
0
0
entailment
((h|(j>r))&y)
((~(r)>y)>((y>j)&(j|b)))
0
0
0
0
not entailment
(j&((i&(o>w))&(~(h)&~((o|~(j))))))
(y|~((b&(w>u))))
0
1
0
0
not entailment
((u&(w>b))&x)
(j>(~(b)>(((u>w)>i)|y)))
1
0
0
0
entailment
((r>h)>r)
((w&(b>x))>r)
1
0
0
0
entailment
((u&(w>b))&x)
((w&(b>x))>r)
0
1
0
0
not entailment
((r>h)>r)
(j>(~(b)>(((u>w)>i)|y)))
0
0
0
0
not entailment
~((j>(h|~(((w>x)|w)))))
((~(~(((j>u)&(u|u))))|~(h))|i)
1
0
0
0
entailment
((~(i)&w)&o)
(((~(w)|b)&i)>(r>h))
1
0
0
0
entailment
~((j>(h|~(((w>x)|w)))))
(((~(w)|b)&i)>(r>h))
0
1
0
0
not entailment
((~(i)&w)&o)
((~(~(((j>u)&(u|u))))|~(h))|i)
0
0
0
0
not entailment
(u&((w&(o&(h&r)))>(r>o)))
(r>(i>u))
1
1
0
0
entailment
(~(((h>(b|(h&j)))&(x|(u>i))))&(i&(x|o)))
(o>h)
1
1
1
0
entailment
(u&((w&(o&(h&r)))>(r>o)))
(o>h)
0
1
1
0
not entailment
(~(((h>(b|(h&j)))&(x|(u>i))))&(i&(x|o)))
(r>(i>u))
0
1
0
0
not entailment
(b&~(((x>g)|y)))
((~(m)|((~(m)>(l|~(l)))&y))>b)
1
0
0
0
entailment
(g&~(~(~((y>m)))))
(g|y)
1
1
1
1
entailment
(b&~(((x>g)|y)))
(g|y)
0
1
1
0
not entailment
(g&~(~(~((y>m)))))
((~(m)|((~(m)>(l|~(l)))&y))>b)
0
0
0
0
not entailment
~((b|((g>b)|((m>u)&(y>l)))))
((x|b)>((u>x)|(x&x)))
1
1
0
0
entailment
((y|m)&(((g>(g&l))&y)&u))
(u|y)
1
1
1
1
entailment
~((b|((g>b)|((m>u)&(y>l)))))
(u|y)
0
1
1
0
not entailment
((y|m)&(((g>(g&l))&y)&u))
((x|b)>((u>x)|(x&x)))
0
1
0
0
not entailment
(m&~((b|(((y>y)>l)>(u>(~((x&l))>g))))))
(g>~((b&(u>g))))
1
1
1
1
entailment
(b&((m>(y>y))&(l|~(l))))
(u>(((g>u)>(u|y))&b))
1
1
0
0
entailment
(m&~((b|(((y>y)>l)>(u>(~((x&l))>g))))))
(u>(((g>u)>(u|y))&b))
0
1
1
0
not entailment
(b&((m>(y>y))&(l|~(l))))
(g>~((b&(u>g))))
0
1
0
0
not entailment
~((~(y)|((l>~(b))|x)))
(~(x)|(m>((u&b)&m)))
1
1
0
0
entailment
(m&(m|u))
(~(~(u))|m)
1
0
1
1
entailment
~((~(y)|((l>~(b))|x)))
(~(~(u))|m)
0
1
0
0
not entailment
(m&(m|u))
(~(x)|(m>((u&b)&m)))
0
0
0
0
not entailment
(u&(x&b))
~((~((m|b))|(y&~(u))))
1
0
0
0
entailment
~(((b&g)|~(b)))
~((((m|l)&~(~(l)))&((u&x)&(~(m)&g))))
1
0
0
0
entailment
(u&(x&b))
~((((m|l)&~(~(l)))&((u&x)&(~(m)&g))))
0
0
0
0
not entailment
~(((b&g)|~(b)))
~((~((m|b))|(y&~(u))))
0
0
0
0
not entailment
(~((m|y))|~(((m>g)|(((l>u)|b)>(y&y)))))
((y>x)|m)
1
1
0
0
entailment
((b|~(((~(x)>y)|u)))&y)
(~(~(x))|b)
1
1
1
0
entailment
(~((m|y))|~(((m>g)|(((l>u)|b)>(y&y)))))
(~(~(x))|b)
0
1
0
0
not entailment
((b|~(((~(x)>y)|u)))&y)
((y>x)|m)
0
1
0
0
not entailment
(b&x)
(((g&x)>b)>(((u|u)|(x|m))|m))
1
0
0
0
entailment
~((~((g>(x&b)))|(u&(u>(l|x)))))
~((g&u))
1
1
1
1
entailment
(b&x)
~((g&u))
0
0
0
0
not entailment
~((~((g>(x&b)))|(u&(u>(l|x)))))
(((g&x)>b)>(((u|u)|(x|m))|m))
0
1
0
0
not entailment
((x>(l>x))>~(~((y&x))))
((~(l)|((x&u)|(l&(l>x))))|u)
1
0
0
0
entailment
(y>~(~((((y|(l&m))>~(g))&~(x)))))
((y|b)>((x&b)|((~(b)|((b|u)|x))>(x>l))))
1
0
0
0
entailment
((x>(l>x))>~(~((y&x))))
((y|b)>((x&b)|((~(b)|((b|u)|x))>(x>l))))
0
0
0
0
not entailment
(y>~(~((((y|(l&m))>~(g))&~(x)))))
((~(l)|((x&u)|(l&(l>x))))|u)
0
1
0
0
not entailment
(m&y)
~(~(((g>x)>(m&((u&b)>(m|b))))))
1
0
0
0
entailment
((y&x)&((u&x)|~(((u|(m|x))|(b&u)))))
(u|(l>x))
1
1
0
0
entailment
(m&y)
(u|(l>x))
0
0
0
0
not entailment
((y&x)&((u&x)|~(((u|(m|x))|(b&u)))))
~(~(((g>x)>(m&((u&b)>(m|b))))))
0
1
0
0
not entailment
~((~((b|m))|(((y>g)>x)>(y>(l|b)))))
~((~(y)&((m>l)&~(~(m)))))
1
1
1
0
entailment
(l|l)
(x|l)
1
1
0
0
entailment
~((~((b|m))|(((y>g)>x)>(y>(l|b)))))
(x|l)
0
1
1
0
not entailment
(l|l)
~((~(y)&((m>l)&~(~(m)))))
0
0
0
0
not entailment