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
((v|((~(w)>y)&w))&~(~((u|u))))
((((((y>(u|m))&p)>z)|((u&y)&p))|w)>u)
1
0
0
0
entailment
~((y>(m&y)))
(p>~(~(((p|(v|z))>(z|(m>~(p)))))))
1
0
0
0
entailment
((v|((~(w)>y)&w))&~(~((u|u))))
(p>~(~(((p|(v|z))>(z|(m>~(p)))))))
0
0
0
0
not entailment
~((y>(m&y)))
((((((y>(u|m))&p)>z)|((u&y)&p))|w)>u)
0
0
0
0
not entailment
(((t>t)&g)&(t>(w>((j>(j&w))&((c>w)|k)))))
((g|g)|~((c>(k>g))))
1
1
1
0
entailment
((b&b)&(t&k))
((t|c)|b)
1
1
0
0
entailment
(((t>t)&g)&(t>(w>((j>(j&w))&((c>w)|k)))))
((t|c)|b)
0
1
0
0
not entailment
((b&b)&(t&k))
((g|g)|~((c>(k>g))))
0
0
0
0
not entailment
~(((t>(w&k))|(g>(c|w))))
((((w>b)|g)&j)|((g|~((k>t)))|k))
1
0
0
0
entailment
~(((((c&c)>(b&g))&t)>(k|k)))
~((k&b))
1
1
1
0
entailment
~(((t>(w&k))|(g>(c|w))))
~((k&b))
0
1
0
0
not entailment
~(((((c&c)>(b&g))&t)>(k|k)))
((((w>b)|g)&j)|((g|~((k>t)))|k))
0
0
0
0
not entailment
((b&w)|(k&(((g>k)&(t>((w>~(c))>c)))>b)))
(((b|(b&j))|(j|t))|(b|g))
1
1
0
0
entailment
((w>k)&~(~(~(b))))
((((t&g)|(b>b))|k)>((w|~(~(j)))>(b>j)))
1
0
0
0
entailment
((b&w)|(k&(((g>k)&(t>((w>~(c))>c)))>b)))
((((t&g)|(b>b))|k)>((w|~(~(j)))>(b>j)))
0
1
0
0
not entailment
((w>k)&~(~(~(b))))
(((b|(b&j))|(j|t))|(b|g))
0
0
0
0
not entailment
((~((~(w)>k))&(j&c))&(((w>k)|c)>(c|t)))
~(~(~(((~(c)>(t>(g&g)))>((k&j)&b)))))
1
1
0
0
entailment
(t&w)
((w>t)>(c>w))
1
0
0
0
entailment
((~((~(w)>k))&(j&c))&(((w>k)|c)>(c|t)))
((w>t)>(c>w))
0
1
1
0
not entailment
(t&w)
~(~(~(((~(c)>(t>(g&g)))>((k&j)&b)))))
0
0
0
0
not entailment
~((((j&b)&w)>~(~((~(k)|(g&~(j)))))))
(~(~((w&~(t))))|((k|~(w))>(w|k)))
1
1
0
0
entailment
(~(b)|((j|(j>c))&~((w&j))))
((w&b)>(~(w)|(j>g)))
1
1
0
0
entailment
~((((j&b)&w)>~(~((~(k)|(g&~(j)))))))
((w&b)>(~(w)|(j>g)))
0
1
1
0
not entailment
(~(b)|((j|(j>c))&~((w&j))))
(~(~((w&~(t))))|((k|~(w))>(w|k)))
0
0
0
0
not entailment
~(((g>t)|(((b&g)&j)>(b>w))))
(k|j)
1
1
0
0
entailment
(~(((j|~(~(((b&j)>(w|k)))))|~(t)))|w)
(((g|j)>(c|((j>c)|w)))|~((b&j)))
1
1
0
0
entailment
~(((g>t)|(((b&g)&j)>(b>w))))
(((g|j)>(c|((j>c)|w)))|~((b&j)))
0
0
0
0
not entailment
(~(((j|~(~(((b&j)>(w|k)))))|~(t)))|w)
(k|j)
0
1
1
0
not entailment
(t&((k>~(b))&k))
~(((w>(~(b)&w))&(((t>j)>(k|g))>b)))
1
0
0
0
entailment
(g&t)
(~((g&c))>(j>g))
1
0
0
0
entailment
(t&((k>~(b))&k))
(~((g&c))>(j>g))
0
1
0
0
not entailment
(g&t)
~(((w>(~(b)&w))&(((t>j)>(k|g))>b)))
0
0
0
0
not entailment
(k&(((~(g)>j)|t)&(~((t|j))>(t>(k&b)))))
(~((~((~((t|j))>b))&b))&k)
1
1
1
0
entailment
~((((j&(c&c))>(((w&(t&g))&~(t))|g))>w))
((c&w)>j)
1
1
1
0
entailment
(k&(((~(g)>j)|t)&(~((t|j))>(t>(k&b)))))
((c&w)>j)
0
1
0
0
not entailment
~((((j&(c&c))>(((w&(t&g))&~(t))|g))>w))
(~((~((~((t|j))>b))&b))&k)
0
1
0
0
not entailment
(j>(((k&j)&t)&w))
(~(j)|k)
1
1
1
1
entailment
(c&(t|j))
(~(~(w))|(c|(j|k)))
1
0
0
0
entailment
(j>(((k&j)&t)&w))
(~(~(w))|(c|(j|k)))
0
0
0
0
not entailment
(c&(t|j))
(~(j)|k)
0
1
0
0
not entailment
~(((j&((g>w)|j))|g))
~((((t>w)&((j&w)&(b|k)))&b))
1
0
0
0
entailment
((b>k)&g)
(~((w&(c>(w&b))))|(~(((g&b)|j))>(b|g)))
1
0
0
0
entailment
~(((j&((g>w)|j))|g))
(~((w&(c>(w&b))))|(~(((g&b)|j))>(b|g)))
0
0
0
0
not entailment
((b>k)&g)
~((((t>w)&((j&w)&(b|k)))&b))
0
0
0
0
not entailment
((j>(w|(k|k)))&(((b&~(((t|g)>b)))|j)&b))
(j|(b|(j|j)))
1
1
1
1
entailment
(((b|(j|~(b)))|g)&~(~((~(g)&(k>w)))))
~((~(c)&g))
1
1
0
0
entailment
((j>(w|(k|k)))&(((b&~(((t|g)>b)))|j)&b))
~((~(c)&g))
0
1
0
0
not entailment
(((b|(j|~(b)))|g)&~(~((~(g)&(k>w)))))
(j|(b|(j|j)))
0
1
1
1
not entailment
(c&(~(~((g>(k|((j>g)|b)))))&k))
((j&g)>(((k&k)&~(b))|~(((g|w)&~(b)))))
1
0
0
0
entailment
(((~(t)|~((t|(t>w))))>((k>c)|k))>w)
(((j&b)>((w>t)|w))>w)
1
1
0
0
entailment
(c&(~(~((g>(k|((j>g)|b)))))&k))
(((j&b)>((w>t)|w))>w)
0
1
0
0
not entailment
(((~(t)|~((t|(t>w))))>((k>c)|k))>w)
((j&g)>(((k&k)&~(b))|~(((g|w)&~(b)))))
0
0
0
0
not entailment
(c&w)
((~(g)|(j|((c|t)&c)))>w)
1
0
0
0
entailment
~((~((c>g))>(k>(w&j))))
~((~((k|((c&~(t))&(g|(j&g)))))&(g|g)))
1
0
0
0
entailment
(c&w)
~((~((k|((c&~(t))&(g|(j&g)))))&(g|g)))
0
0
0
0
not entailment
~((~((c>g))>(k>(w&j))))
((~(g)|(j|((c|t)&c)))>w)
0
1
0
0
not entailment
~(((~(g)>w)>((c&(g>b))>(~(k)|(j&c)))))
(w|((~((w>((k|g)>t)))|(c>g))|k))
1
1
0
0
entailment
~(~(~((t>g))))
~(((c>~(~(b)))&(g&c)))
1
0
0
0
entailment
~(((~(g)>w)>((c&(g>b))>(~(k)|(j&c)))))
~(((c>~(~(b)))&(g&c)))
0
1
1
0
not entailment
~(~(~((t>g))))
(w|((~((w>((k|g)>t)))|(c>g))|k))
0
0
0
0
not entailment
(~((j|(j>w)))|(g|(b&k)))
((~(w)&(g|(j|j)))|(w|k))
1
1
1
0
entailment
(t&((w>j)>b))
((((((w&c)|t)&t)|t)|(~(w)&t))&(k>k))
1
0
0
0
entailment
(~((j|(j>w)))|(g|(b&k)))
((((((w&c)|t)&t)|t)|(~(w)&t))&(k>k))
0
0
0
0
not entailment
(t&((w>j)>b))
((~(w)&(g|(j|j)))|(w|k))
0
0
0
0
not entailment
(t&(k|w))
((k|b)>t)
1
1
0
0
entailment
(b|b)
((k>b)|~((((t&b)&(k>j))|k)))
1
0
0
0
entailment
(t&(k|w))
((k>b)|~((((t&b)&(k>j))|k)))
0
0
0
0
not entailment
(b|b)
((k|b)>t)
0
0
0
0
not entailment
((~(d)|d)>(p&p))
((p|p)&((p>(p>p))|(p|d)))
1
0
1
0
entailment
((~(p)|(d&p))&(~(p)>(d&((p&d)>~(p)))))
~(~(d))
1
1
1
1
entailment
((~(d)|d)>(p&p))
~(~(d))
0
1
1
1
not entailment
((~(p)|(d&p))&(~(p)>(d&((p&d)>~(p)))))
((p|p)&((p>(p>p))|(p|d)))
0
1
1
1
not entailment
((d|p)&(p|~(~(d))))
(d|p)
1
1
1
1
entailment
~((~(((p&p)&(((d&p)>p)|p)))>(d|p)))
(~(p)|(p>~(p)))
1
1
1
1
entailment
((d|p)&(p|~(~(d))))
(~(p)|(p>~(p)))
0
1
1
0
not entailment
~((~(((p&p)&(((d&p)>p)|p)))>(d|p)))
(d|p)
0
1
1
1
not entailment
(p|(d&p))
(((d&p)&p)|(p&p))
1
0
1
1
entailment
((d>d)>~((~((d>d))|p)))
((~((p&(d>((d>p)|p))))>p)>(d&p))
1
0
1
0
entailment
(p|(d&p))
((~((p&(d>((d>p)|p))))>p)>(d&p))
0
0
1
0
not entailment
((d>d)>~((~((d>d))|p)))
(((d&p)&p)|(p&p))
0
1
1
0
not entailment
((p>d)&((p&p)&~(~(((d&d)>d)))))
((p&d)&(d>(~((~(~(d))>d))|(d&d))))
1
0
1
1
entailment
(((p|(d|d))|((p&d)>((d|p)|d)))>~(p))
~((d&p))
1
1
1
1
entailment
((p>d)&((p&p)&~(~(((d&d)>d)))))
~((d&p))
0
1
1
1
not entailment
(((p|(d|d))|((p&d)>((d|p)|d)))>~(p))
((p&d)&(d>(~((~(~(d))>d))|(d&d))))
0
1
1
1
not entailment
(((p|(p|((p>d)|d)))|(d>(p&(p&d))))&(d|p))
(((~((~(d)&d))|d)>(d>(p&(d|~(p)))))>p)
1
1
1
1
entailment
((p|d)>~(((d&p)>~(p))))
(d>p)
1
1
1
1
entailment
(((p|(p|((p>d)|d)))|(d>(p&(p&d))))&(d|p))
(d>p)
0
1
1
1
not entailment
((p|d)>~(((d&p)>~(p))))
(((~((~(d)&d))|d)>(d>(p&(d|~(p)))))>p)
0
0
1
1
not entailment
((((p&p)|p)&p)&(d|d))
((p|p)&(p&d))
1
1
1
1
entailment
((~((p&d))&d)&d)
~(~(~((p&p))))
1
1
1
1
entailment
((((p&p)|p)&p)&(d|d))
~(~(~((p&p))))
0
1
1
0
not entailment
((~((p&d))&d)&d)
((p|p)&(p&d))
0
1
1
0
not entailment
(p&d)
(p&((~(((d|p)>d))&(d&d))|d))
1
0
1
0
entailment
((((p|d)>d)>(p>~((p|d))))&(d>p))
~(d)
1
1
1
1
entailment
(p&d)
~(d)
0
1
1
0
not entailment
((((p|d)>d)>(p>~((p|d))))&(d>p))
(p&((~(((d|p)>d))&(d&d))|d))
0
1
1
1
not entailment
~((~(((((p>d)|p)>d)&d))&(p>p)))
~(~(((p&~(d))>(p&(d|(p&d))))))
1
1
1
1
entailment
((p&p)&(((p|~(p))&(d|p))|(p|d)))
(p&p)
1
1
1
1
entailment
~((~(((((p>d)|p)>d)&d))&(p>p)))
(p&p)
0
1
1
1
not entailment
((p&p)&(((p|~(p))&(d|p))|(p|d)))
~(~(((p&~(d))>(p&(d|(p&d))))))
0
1
1
1
not entailment