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))>~(~(~(~(l))))))
((((l>b)&~((y|~(f))))|(t>(k|y)))|f)
1
0
0
0
entailment
~(~(~((b>((f&w)|g)))))
(f|(g>f))
1
1
1
0
entailment
~((~(~(y))>~(~(~(~(l))))))
(f|(g>f))
0
1
0
0
not entailment
~(~(~((b>((f&w)|g)))))
((((l>b)&~((y|~(f))))|(t>(k|y)))|f)
0
0
0
0
not entailment
((f&b)&(t>((r&b)>(l|k))))
(((w&y)&~(r))|(b|(~((r&t))|k)))
1
0
0
0
entailment
~(((f|y)|(r>y)))
((w|~((f|w)))|~((y>~(~((b&w))))))
1
0
0
0
entailment
((f&b)&(t>((r&b)>(l|k))))
((w|~((f|w)))|~((y>~(~((b&w))))))
0
0
0
0
not entailment
~(((f|y)|(r>y)))
(((w&y)&~(r))|(b|(~((r&t))|k)))
0
0
0
0
not entailment
(b&(k&~(l)))
((w&g)|(~(((w|k)|((l>k)|r)))>y))
1
0
0
0
entailment
(l|~((l>k)))
((r>l)&(l|w))
1
1
0
0
entailment
(b&(k&~(l)))
((r>l)&(l|w))
0
1
0
0
not entailment
(l|~((l>k)))
((w&g)|(~(((w|k)|((l>k)|r)))>y))
0
0
0
0
not entailment
~((l|(l|(w&l))))
((w&k)>(l>(t|t)))
1
1
0
0
entailment
~((t|((f>t)>~(k))))
~(~(~(~((~(f)|t)))))
1
0
1
1
entailment
~((l|(l|(w&l))))
~(~(~(~((~(f)|t)))))
0
0
0
0
not entailment
~((t|((f>t)>~(k))))
((w&k)>(l>(t|t)))
0
1
0
0
not entailment
~((w|(t|l)))
((w|l)>y)
1
1
0
0
entailment
((r|((k&(l&t))&(t>b)))&~((~(l)>l)))
(r&~(~((f>(w|f)))))
1
1
0
0
entailment
~((w|(t|l)))
(r&~(~((f>(w|f)))))
0
0
0
0
not entailment
((r|((k&(l&t))&(t>b)))&~((~(l)>l)))
((w|l)>y)
0
1
0
0
not entailment
((g>y)&(b&(((~(w)|b)&~(y))&~((k&l)))))
(w>(g>l))
1
1
1
0
entailment
~(~((((r|(f>b))>~(y))&r)))
((b|(g|(k|k)))>~((~(g)&(r>(f&g)))))
1
0
0
0
entailment
((g>y)&(b&(((~(w)|b)&~(y))&~((k&l)))))
((b|(g|(k|k)))>~((~(g)&(r>(f&g)))))
0
1
0
0
not entailment
~(~((((r|(f>b))>~(y))&r)))
(w>(g>l))
0
1
0
0
not entailment
(((y&r)&(t|~(~((f|(r&t))))))&f)
((~(k)&f)>(((l>w)|(b|y))|r))
1
1
0
0
entailment
~(((((y&r)>f)|(y&(~(w)>(l>(l|g)))))>w))
((r>t)>(w>~(w)))
1
1
0
0
entailment
(((y&r)&(t|~(~((f|(r&t))))))&f)
((r>t)>(w>~(w)))
0
1
0
0
not entailment
~(((((y&r)>f)|(y&(~(w)>(l>(l|g)))))>w))
((~(k)&f)>(((l>w)|(b|y))|r))
0
1
0
0
not entailment
~(((l|r)>((l|(~(~((k>w)))&w))&(b>b))))
((r&(b>r))|f)
1
1
0
0
entailment
~(~(((g|((f>y)|~(~(y))))&(t|t))))
(k|t)
1
1
0
0
entailment
~(((l|r)>((l|(~(~((k>w)))&w))&(b>b))))
(k|t)
0
1
0
0
not entailment
~(~(((g|((f>y)|~(~(y))))&(t|t))))
((r&(b>r))|f)
0
1
0
0
not entailment
((g|((g|(g|~(~(((b|b)|b)))))|l))&k)
(((w&k)>l)>((b&w)|k))
1
1
0
0
entailment
((f>(~(~(b))&f))>(~(w)>((b|k)&b)))
((~(~((f|r)))|b)|(y|(w&w)))
1
1
0
0
entailment
((g|((g|(g|~(~(((b|b)|b)))))|l))&k)
((~(~((f|r)))|b)|(y|(w&w)))
0
1
0
0
not entailment
((f>(~(~(b))&f))>(~(w)>((b|k)&b)))
(((w&k)>l)>((b&w)|k))
0
1
0
0
not entailment
(~((~(l)&((~(g)>((r&f)>(y>t)))|l)))&w)
(((y>r)>(f|(~((f|l))>k)))|(g|g))
1
1
0
0
entailment
((((r&b)&y)&~(w))&(w>(b>t)))
~((k&(y>w)))
1
1
0
0
entailment
(~((~(l)&((~(g)>((r&f)>(y>t)))|l)))&w)
~((k&(y>w)))
0
1
0
0
not entailment
((((r&b)&y)&~(w))&(w>(b>t)))
(((y>r)>(f|(~((f|l))>k)))|(g|g))
0
0
0
0
not entailment
~(~((l|~((q>q)))))
(~((~(q)&v))>((l|v)|(i&w)))
1
0
0
0
entailment
(i&(u>v))
((((j|q)|(((q>y)>u)>i))|x)|x)
1
0
0
0
entailment
~(~((l|~((q>q)))))
((((j|q)|(((q>y)>u)>i))|x)|x)
0
0
0
0
not entailment
(i&(u>v))
(~((~(q)&v))>((l|v)|(i&w)))
0
0
0
0
not entailment
(((y|w)&~(q))&~((u|(u|w))))
(~(j)|((v>i)>(q|(w>q))))
1
1
0
0
entailment
(i&((v>j)>(u|x)))
((x|(v|u))&((l&i)>(l|((i>i)>q))))
1
0
0
0
entailment
(((y|w)&~(q))&~((u|(u|w))))
((x|(v|u))&((l&i)>(l|((i>i)>q))))
0
0
0
0
not entailment
(i&((v>j)>(u|x)))
(~(j)|((v>i)>(q|(w>q))))
0
0
0
0
not entailment
((y>(~((q|q))&q))&((w&j)>u))
((v>x)|~((y|((i|x)&y))))
1
1
0
0
entailment
~((u|(w|j)))
~(((u&l)&q))
1
1
0
0
entailment
((y>(~((q|q))&q))&((w&j)>u))
~(((u&l)&q))
0
1
0
0
not entailment
~((u|(w|j)))
((v>x)|~((y|((i|x)&y))))
0
0
0
0
not entailment
~((((i&x)|q)&((u>v)|~(((x&l)&~(v))))))
((q|v)>(v|(w|l)))
1
1
0
0
entailment
(y&((y>(~(x)|~((j&y))))&(j&~((u&j)))))
((j&u)>~(~(v)))
1
1
0
0
entailment
~((((i&x)|q)&((u>v)|~(((x&l)&~(v))))))
((j&u)>~(~(v)))
0
1
0
0
not entailment
(y&((y>(~(x)|~((j&y))))&(j&~((u&j)))))
((q|v)>(v|(w|l)))
0
1
0
0
not entailment
((~(i)&i)|~(i))
~(i)
1
1
1
1
entailment
(((i>v)&(u|(v>v)))&~(((w>q)|(~(y)&l))))
(~(~(x))>((q&(l&u))>y))
1
1
0
0
entailment
((~(i)&i)|~(i))
(~(~(x))>((q&(l&u))>y))
0
0
0
0
not entailment
(((i>v)&(u|(v>v)))&~(((w>q)|(~(y)&l))))
~(i)
0
1
1
1
not entailment
~((~((w|(l&q)))>(l>i)))
((u&y)>(~(~((q>i)))&y))
1
1
0
0
entailment
((((v&(i|(x>q)))&(w&w))>j)>~(j))
((y>((y&l)>j))>(j>w))
1
1
0
0
entailment
~((~((w|(l&q)))>(l>i)))
((y>((y&l)>j))>(j>w))
0
1
0
0
not entailment
((((v&(i|(x>q)))&(w&w))>j)>~(j))
((u&y)>(~(~((q>i)))&y))
0
1
0
0
not entailment
~((q>(((l&x)&u)>w)))
((w|w)|l)
1
1
1
0
entailment
((~(j)&(~(q)>x))&(i&q))
(~((i&y))>(y>j))
1
1
0
0
entailment
~((q>(((l&x)&u)>w)))
(~((i&y))>(y>j))
0
1
0
0
not entailment
((~(j)&(~(q)>x))&(i&q))
((w|w)|l)
0
1
0
0
not entailment
(l&u)
((l&(q>w))|(~(((v&y)>(w>v)))|((u|v)|j)))
1
0
0
0
entailment
~(i)
(((u>x)&((u>~(u))>(y&q)))|((j&i)>~(v)))
1
0
0
0
entailment
(l&u)
(((u>x)&((u>~(u))>(y&q)))|((j&i)>~(v)))
0
0
0
0
not entailment
~(i)
((l&(q>w))|(~(((v&y)>(w>v)))|((u|v)|j)))
0
0
0
0
not entailment
(~(~(i))>~((v>j)))
~(~((~(((q&w)>~((j&i))))>l)))
1
0
0
0
entailment
(((((x&v)>v)>(y&~((l&w))))|((v>q)|v))&q)
((q|~(((~((x>j))|u)&~(x))))|~(v))
1
1
0
0
entailment
(~(~(i))>~((v>j)))
((q|~(((~((x>j))|u)&~(x))))|~(v))
0
0
0
0
not entailment
(((((x&v)>v)>(y&~((l&w))))|((v>q)|v))&q)
~(~((~(((q&w)>~((j&i))))>l)))
0
1
0
0
not entailment
~(~((l&~(~((j|(~(i)|j)))))))
(v|l)
1
1
0
0
entailment
((x&u)&i)
((~(j)|(~(~((y&(j&x))))&w))|(u|(j&w)))
1
0
0
0
entailment
~(~((l&~(~((j|(~(i)|j)))))))
((~(j)|(~(~((y&(j&x))))&w))|(u|(j&w)))
0
0
0
0
not entailment
((x&u)&i)
(v|l)
0
1
0
0
not entailment
((q&(l|l))&(w>(i|(~((x&w))|(y|y)))))
(~((x|l))|(q&(((y|u)|y)|q)))
1
1
0
0
entailment
~((((j&y)|q)|(((v&l)>i)&(i|x))))
(q>(((y>y)&(u&x))>y))
1
1
0
0
entailment
((q&(l|l))&(w>(i|(~((x&w))|(y|y)))))
(q>(((y>y)&(u&x))>y))
0
1
0
0
not entailment
~((((j&y)|q)|(((v&l)>i)&(i|x))))
(~((x|l))|(q&(((y|u)|y)|q)))
0
1
0
0
not entailment
(~(((y|((i&w)|i))>(l>u)))&v)
((((~(l)|i)|q)|(q&u))>(~(q)|v))
1
0
0
0
entailment
(~((~(i)>j))&(((v&~(y))|(x>(w|y)))>w))
~(i)
1
1
1
1
entailment
(~(((y|((i&w)|i))>(l>u)))&v)
~(i)
0
1
1
0
not entailment
(~((~(i)>j))&(((v&~(y))|(x>(w|y)))>w))
((((~(l)|i)|q)|(q&u))>(~(q)|v))
0
1
0
0
not entailment
(((j|(y&j))&i)&v)
~(~(((i>(v|u))|(((w|i)&y)|(i&(l|q))))))
1
0
0
0
entailment
~((y|(i&q)))
(~((j>j))|(((j|y)>((i|x)&j))>(y>(l|l))))
1
0
0
0
entailment
(((j|(y&j))&i)&v)
(~((j>j))|(((j|y)>((i|x)&j))>(y>(l|l))))
0
0
0
0
not entailment
~((y|(i&q)))
~(~(((i>(v|u))|(((w|i)&y)|(i&(l|q))))))
0
0
0
0
not entailment
(~(~((l&l)))|l)
(((v|q)>~((l>(j|l))))>l)
1
0
0
0
entailment
~((~(j)>~(i)))
(i|x)
1
1
0
0
entailment
(~(~((l&l)))|l)
(i|x)
0
1
0
0
not entailment
~((~(j)>~(i)))
(((v|q)>~((l>(j|l))))>l)
0
0
0
0
not entailment
~(((j|l)>~(((v|((w>w)>x))&l))))
~((~(x)&(~((j>v))&(w>u))))
1
1
0
0
entailment
(((y|l)&(~(x)>q))&u)
((x>u)|~((~((i>(v>l)))>(v&w))))
1
0
0
0
entailment
~(((j|l)>~(((v|((w>w)>x))&l))))
((x>u)|~((~((i>(v>l)))>(v&w))))
0
1
0
0
not entailment
(((y|l)&(~(x)>q))&u)
~((~(x)&(~((j>v))&(w>u))))
0
0
0
0
not entailment