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
~((((l|e)>~(o))>l))
(l>(o|y))
1
1
0
0
entailment
(b&((t|o)|(e>~((p|~((o&y)))))))
~(~(((p|(((p&o)>j)&(l|~(~(o)))))|b)))
1
0
0
0
entailment
~((((l|e)>~(o))>l))
~(~(((p|(((p&o)>j)&(l|~(~(o)))))|b)))
0
0
0
0
not entailment
(b&((t|o)|(e>~((p|~((o&y)))))))
(l>(o|y))
0
1
0
0
not entailment
(o&o)
(~(~((e&j)))|(~(o)>e))
1
0
0
0
entailment
(((p&((~(h)|o)&(y|(y&p))))>(l&o))&t)
(~((y&p))>((t&b)|(~(b)|j)))
1
1
0
0
entailment
(o&o)
(~((y&p))>((t&b)|(~(b)|j)))
0
0
0
0
not entailment
(((p&((~(h)|o)&(y|(y&p))))>(l&o))&t)
(~(~((e&j)))|(~(o)>e))
0
1
0
0
not entailment
((h&e)&~(l))
((y&l)>(e>t))
1
1
0
0
entailment
(o>~((o&p)))
((o&(p&h))>~((b>(b&y))))
1
0
0
0
entailment
((h&e)&~(l))
((o&(p&h))>~((b>(b&y))))
0
0
0
0
not entailment
(o>~((o&p)))
((y&l)>(e>t))
0
1
0
0
not entailment
~((((o|j)&~(o))>y))
(~((~(~(t))>(h&~(l))))>j)
1
0
0
0
entailment
((b&t)&~(p))
((~((o>j))>((l>y)>((p&(j&p))>j)))>t)
1
0
0
0
entailment
~((((o|j)&~(o))>y))
((~((o>j))>((l>y)>((p&(j&p))>j)))>t)
0
0
0
0
not entailment
((b&t)&~(p))
(~((~(~(t))>(h&~(l))))>j)
0
0
0
0
not entailment
(p&~(((e|y)|o)))
~(((y&(o&p))&(~(e)|j)))
1
0
0
0
entailment
~((p>(((e>e)|(~(~(b))&l))>~((e&l)))))
((~((b>y))&o)|(((b|e)|y)>l))
1
1
0
0
entailment
(p&~(((e|y)|o)))
((~((b>y))&o)|(((b|e)|y)>l))
0
0
0
0
not entailment
~((p>(((e>e)|(~(~(b))&l))>~((e&l)))))
~(((y&(o&p))&(~(e)|j)))
0
1
0
0
not entailment
((((y&(d|y))>(~(y)>y))>d)&(y&(y|(e&y))))
(((d&e)>~(y))>~(~(y)))
1
1
1
1
entailment
((((d>y)>e)&(((d&e)|y)|~(d)))&(y|e))
(~(((e&e)&d))>(e|(y>(e&y))))
1
1
1
1
entailment
((((y&(d|y))>(~(y)>y))>d)&(y&(y|(e&y))))
(~(((e&e)&d))>(e|(y>(e&y))))
0
1
1
1
not entailment
((((d>y)>e)&(((d&e)|y)|~(d)))&(y|e))
(((d&e)>~(y))>~(~(y)))
0
1
1
1
not entailment
((e&~((((e>y)|y)&e)))|(y&((y>e)|d)))
(~((y|(((y|e)|e)&e)))>~(d))
1
1
1
0
entailment
(y|d)
((d>~(e))>(e>y))
1
0
0
0
entailment
((e&~((((e>y)|y)&e)))|(y&((y>e)|d)))
((d>~(e))>(e>y))
0
1
1
1
not entailment
(y|d)
(~((y|(((y|e)|e)&e)))>~(d))
0
0
0
0
not entailment
(~(d)&y)
~(d)
1
1
1
1
entailment
(y&e)
(y>((~((~(y)&d))>y)&(e|d)))
1
0
0
0
entailment
(~(d)&y)
(y>((~((~(y)&d))>y)&(e|d)))
0
0
0
0
not entailment
(y&e)
~(d)
0
1
0
0
not entailment
((e|(y&y))&(d>(e>y)))
~(~((d>(((d&(e|~(y)))>~(e))>y))))
1
0
1
0
entailment
(y>~((e>y)))
~(((y&(y>d))&(e>~(~((e>d))))))
1
0
0
0
entailment
((e|(y&y))&(d>(e>y)))
~(((y&(y>d))&(e>~(~((e>d))))))
0
0
1
0
not entailment
(y>~((e>y)))
~(~((d>(((d&(e|~(y)))>~(e))>y))))
0
0
0
0
not entailment
(e&(~((y&(y&e)))|(e&~(e))))
(y|((d>y)|(d>((e&e)|e))))
1
1
0
0
entailment
~((~((~(y)>(e>y)))|(d&(d&~(d)))))
((~(d)&e)>~(~((y|~((e&(e>e)))))))
1
1
1
0
entailment
(e&(~((y&(y&e)))|(e&~(e))))
((~(d)&e)>~(~((y|~((e&(e>e)))))))
0
0
0
0
not entailment
~((~((~(y)>(e>y)))|(d&(d&~(d)))))
(y|((d>y)|(d>((e&e)|e))))
0
1
1
0
not entailment
(e&d)
(((y>d)&d)>(d&(d&((e&(y&e))|~(~(e))))))
1
0
0
0
entailment
((d|e)&y)
(~(((d&e)&y))>~((~((e|y))|(e&d))))
1
0
1
0
entailment
(e&d)
(~(((d&e)&y))>~((~((e|y))|(e&d))))
0
0
0
0
not entailment
((d|e)&y)
(((y>d)&d)>(d&(d&((e&(y&e))|~(~(e))))))
0
0
1
0
not entailment
~((y>(d&d)))
((y&y)|((((y|d)>~(y))>e)&y))
1
0
0
0
entailment
((e>d)&e)
(y>d)
1
1
0
0
entailment
~((y>(d&d)))
(y>d)
0
1
1
0
not entailment
((e>d)&e)
((y&y)|((((y|d)>~(y))>e)&y))
0
0
0
0
not entailment
((e|(~((e&d))&d))>((y&e)&y))
(~(~(((d|d)>(y|y))))>(e>((y&(y|y))&e)))
1
0
1
0
entailment
~(~((e|y)))
(~(~(e))|y)
1
1
1
1
entailment
((e|(~((e&d))&d))>((y&e)&y))
(~(~(e))|y)
0
1
1
1
not entailment
~(~((e|y)))
(~(~(((d|d)>(y|y))))>(e>((y&(y|y))&e)))
0
0
0
0
not entailment
(~(((y|e)>y))&~(((e&d)>y)))
(~(((d>d)>y))&~((d&y)))
1
1
1
0
entailment
((~((e&((e>d)>(d>y))))|e)&(y|(y&d)))
(y|~(d))
1
1
1
0
entailment
(~(((y|e)>y))&~(((e&d)>y)))
(y|~(d))
0
1
1
0
not entailment
((~((e&((e>d)>(d>y))))|e)&(y|(y&d)))
(~(((d>d)>y))&~((d&y)))
0
1
1
0
not entailment
(e|e)
~(~((e&(e&e))))
1
0
1
1
entailment
((y|y)&(e>y))
~((~((d>y))&(((e|e)>y)|(d|(y|e)))))
1
0
0
0
entailment
(e|e)
~((~((d>y))&(((e|e)>y)|(d|(y|e)))))
0
0
0
0
not entailment
((y|y)&(e>y))
~(~((e&(e&e))))
0
0
1
0
not entailment
~(((~(~((y|e)))&e)|~((d|d))))
~(~(~(~((~(y)>(d&(d&d)))))))
1
1
1
0
entailment
(y|((y>e)>e))
(y|e)
1
1
1
1
entailment
~(((~(~((y|e)))&e)|~((d|d))))
(y|e)
0
1
1
0
not entailment
(y|((y>e)>e))
~(~(~(~((~(y)>(d&(d&d)))))))
0
0
0
0
not entailment
((d>(d>e))&y)
((d>y)|(~(((d|d)|d))&(~(e)&(e>(e|y)))))
1
0
1
0
entailment
(((d|d)&~((y|y)))|d)
(((d>e)>(e&d))|((e&y)|(y>d)))
1
0
0
0
entailment
((d>(d>e))&y)
(((d>e)>(e&d))|((e&y)|(y>d)))
0
0
1
0
not entailment
(((d|d)&~((y|y)))|d)
((d>y)|(~(((d|d)|d))&(~(e)&(e>(e|y)))))
0
0
0
0
not entailment
(((y&d)&((y&d)>e))&((d|(y|d))>d))
((y>y)&d)
1
1
1
1
entailment
((d>~((e&(d|d))))&e)
(((y|(d&e))|(y&y))>((e&d)>~(e)))
1
0
0
0
entailment
(((y&d)&((y&d)>e))&((d|(y|d))>d))
(((y|(d&e))|(y&y))>((e&d)>~(e)))
0
1
1
0
not entailment
((d>~((e&(d|d))))&e)
((y>y)&d)
0
1
0
0
not entailment
~((((w&x)|(g>w))|((i&(u|u))>y)))
((o&(u&~(o)))|(y>~(((~(o)|~(u))>u))))
1
0
0
0
entailment
(~(~((~(~(x))&o)))&(o|~(((o|o)|y))))
(x&x)
1
1
1
1
entailment
~((((w&x)|(g>w))|((i&(u|u))>y)))
(x&x)
0
1
1
0
not entailment
(~(~((~(~(x))&o)))&(o|~(((o|o)|y))))
((o&(u&~(o)))|(y>~(((~(o)|~(u))>u))))
0
1
0
0
not entailment
((~(w)>x)&(y&(i&g)))
(~(((u>y)|y))>(w>x))
1
1
0
0
entailment
((((i&o)&w)|w)|~(((~(g)&x)>x)))
(~((u|~((w>w))))>~(~(w)))
1
1
0
0
entailment
((~(w)>x)&(y&(i&g)))
(~((u|~((w>w))))>~(~(w)))
0
0
0
0
not entailment
((((i&o)&w)|w)|~(((~(g)&x)>x)))
(~(((u>y)|y))>(w>x))
0
1
0
0
not entailment
((g&~((x>o)))&(~(((w&i)|o))|x))
~((~((((y>o)|w)|x))|(~(x)&x)))
1
1
0
0
entailment
((g&u)&y)
(y|((w&(u>(x|w)))&((i&~((g&x)))|u)))
1
0
0
0
entailment
((g&~((x>o)))&(~(((w&i)|o))|x))
(y|((w&(u>(x|w)))&((i&~((g&x)))|u)))
0
0
0
0
not entailment
((g&u)&y)
~((~((((y>o)|w)|x))|(~(x)&x)))
0
0
0
0
not entailment
(u&g)
(o|((y|o)>g))
1
0
0
0
entailment
~((w|(x>g)))
~((~((x|w))&~((~(((i|w)&x))&y))))
1
0
0
0
entailment
(u&g)
~((~((x|w))&~((~(((i|w)&x))&y))))
0
0
0
0
not entailment
~((w|(x>g)))
(o|((y|o)>g))
0
1
0
0
not entailment
(~((y&(u>g)))&(~(w)&(i&o)))
((w&w)>o)
1
1
1
1
entailment
(g|g)
~(~(g))
1
0
1
1
entailment
(~((y&(u>g)))&(~(w)&(i&o)))
~(~(g))
0
1
1
0
not entailment
(g|g)
((w&w)>o)
0
0
0
0
not entailment
~(((y|(u|u))|(i|((x&~((x&u)))|i))))
((u|y)>(((y&(~(u)&g))>(o&g))|(w>~(w))))
1
0
0
0
entailment
~(((~((((x>x)|w)>o))&g)>(w&x)))
((((g&o)>((u|u)>o))|~(g))&(o>i))
1
1
0
0
entailment
~(((y|(u|u))|(i|((x&~((x&u)))|i))))
((((g&o)>((u|u)>o))|~(g))&(o>i))
0
1
0
0
not entailment
~(((~((((x>x)|w)>o))&g)>(w&x)))
((u|y)>(((y&(~(u)&g))>(o&g))|(w>~(w))))
0
0
0
0
not entailment
~((((u>u)>g)&g))
((g>o)|(y>o))
1
1
0
0
entailment
((~((i&y))&((x|o)|y))&~((u>o)))
(((i|o)|u)|(((x>y)|o)>u))
1
1
1
0
entailment
~((((u>u)>g)&g))
(((i|o)|u)|(((x>y)|o)>u))
0
0
0
0
not entailment
((~((i&y))&((x|o)|y))&~((u>o)))
((g>o)|(y>o))
0
1
0
0
not entailment