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
(~(i)&((i>(q>q))>(w&q)))
(a|~(e))
0
1
0
0
not entailment
((i&((e|a)>(i>a)))&(~(a)|q))
~((i&~((((q&w)&a)&i))))
0
1
0
0
not entailment
~(((s>~((i>s)))>(e>a)))
((e|((q&s)&y))|(s&y))
1
1
0
0
entailment
~(((q|w)|((a>(i&(w>e)))|y)))
(y>~(~((i|~(~(s))))))
1
1
0
0
entailment
~(((s>~((i>s)))>(e>a)))
(y>~(~((i|~(~(s))))))
0
1
0
0
not entailment
~(((q|w)|((a>(i&(w>e)))|y)))
((e|((q&s)&y))|(s&y))
0
1
0
0
not entailment
(w|(~((w|((~(q)>((a>i)&q))|i)))&w))
(w|~((y>e)))
1
1
0
0
entailment
~((s>(a&w)))
(((w&q)|a)>s)
1
1
0
0
entailment
(w|(~((w|((~(q)>((a>i)&q))|i)))&w))
(((w&q)|a)>s)
0
1
0
0
not entailment
~((s>(a&w)))
(w|~((y>e)))
0
1
0
0
not entailment
((i>q)&((~(w)&s)&q))
((i>w)|s)
1
1
1
0
entailment
(((i&e)>y)&~(y))
~((((((e>w)>(e&i))|((q>q)&i))&y)&e))
1
0
0
0
entailment
((i>q)&((~(w)&s)&q))
~((((((e>w)>(e&i))|((q>q)&i))&y)&e))
0
0
0
0
not entailment
(((i&e)>y)&~(y))
((i>w)|s)
0
1
0
0
not entailment
(((i>a)>(w|w))&(~(i)&(i|s)))
(((s|q)&(i>s))|~(y))
1
1
0
0
entailment
((((w|s)|(s>q))>((y&~(a))&e))&(q>~(y)))
((((q&e)>y)|a)&((a|(q&(i&~(e))))>i))
1
1
0
0
entailment
(((i>a)>(w|w))&(~(i)&(i|s)))
((((q&e)>y)|a)&((a|(q&(i&~(e))))>i))
0
0
0
0
not entailment
((((w|s)|(s>q))>((y&~(a))&e))&(q>~(y)))
(((s|q)&(i>s))|~(y))
0
1
0
0
not entailment
(s&i)
(e|i)
1
1
0
0
entailment
~(~(~(~((y|y)))))
((~(~((s|~(e))))|y)&((w>i)>((a&e)>y)))
1
0
0
0
entailment
(s&i)
((~(~((s|~(e))))|y)&((w>i)>((a&e)>y)))
0
0
0
0
not entailment
~(~(~(~((y|y)))))
(e|i)
0
1
0
0
not entailment
(q&(e|q))
(q|i)
1
1
0
0
entailment
(~((((e|y)|q)>(y|a)))&(~(a)>(~(i)&w)))
((w|~((i>q)))|((a>i)>i))
1
1
1
0
entailment
(q&(e|q))
((w|~((i>q)))|((a>i)>i))
0
0
0
0
not entailment
(~((((e|y)|q)>(y|a)))&(~(a)>(~(i)&w)))
(q|i)
0
1
1
0
not entailment
~(i)
~((i&i))
1
0
1
1
entailment
~(w)
~((((~((e>i))|q)&(q&w))&(y&(e&w))))
1
0
0
0
entailment
~(i)
~((((~((e>i))|q)&(q&w))&(y&(e&w))))
0
0
0
0
not entailment
~(w)
~((i&i))
0
0
0
0
not entailment
~((((~(~(f))&s)|~(x))|(s&x)))
((l&g)>(g>(~(s)&(x>l))))
1
1
0
0
entailment
(f|s)
(~(f)>s)
1
0
1
1
entailment
~((((~(~(f))&s)|~(x))|(s&x)))
(~(f)>s)
0
1
1
0
not entailment
(f|s)
((l&g)>(g>(~(s)&(x>l))))
0
0
0
0
not entailment
((f>((x&~(s))&((s&s)>f)))&f)
((l>u)>x)
1
1
0
0
entailment
((x|f)&(l&(((s>f)&(l&l))&((u>s)&(f&l)))))
(((g&x)|u)|(~(~(~(f)))|l))
1
1
0
0
entailment
((f>((x&~(s))&((s&s)>f)))&f)
(((g&x)|u)|(~(~(~(f)))|l))
0
1
0
0
not entailment
((x|f)&(l&(((s>f)&(l&l))&((u>s)&(f&l)))))
((l>u)>x)
0
1
1
1
not entailment
(~(~((~((s&f))|g)))&(s&(u&g)))
((x|s)&u)
1
1
0
0
entailment
(f&(s&x))
~(~(((~(((f>u)>f))>~((s>x)))|(g&f))))
1
0
0
0
entailment
(~(~((~((s&f))|g)))&(s&(u&g)))
~(~(((~(((f>u)>f))>~((s>x)))|(g&f))))
0
0
0
0
not entailment
(f&(s&x))
((x|s)&u)
0
1
0
0
not entailment
(u&(u&(g&f)))
(((g>(f>s))&~((f|g)))>(g|(s|x)))
1
0
0
0
entailment
((g>~(~(x)))&(~(f)&(~(g)>l)))
(g>((g&s)>x))
1
1
0
0
entailment
(u&(u&(g&f)))
(g>((g&s)>x))
0
1
0
0
not entailment
((g>~(~(x)))&(~(f)&(~(g)>l)))
(((g>(f>s))&~((f|g)))>(g|(s|x)))
0
1
0
0
not entailment
(g&x)
~(~((g|(~((f|(x&x)))>x))))
1
0
0
0
entailment
~(((g|x)|((g>(g|g))&(u|f))))
(x>l)
1
1
0
0
entailment
(g&x)
(x>l)
0
1
0
0
not entailment
~(((g|x)|((g>(g|g))&(u|f))))
~(~((g|(~((f|(x&x)))>x))))
0
1
1
0
not entailment
~(((f|~((x>s)))>((x|s)|(u|s))))
((s&u)|(g>(~(u)|(x|f))))
1
1
0
0
entailment
~((l>x))
(g>l)
1
1
0
0
entailment
~(((f|~((x>s)))>((x|s)|(u|s))))
(g>l)
0
1
0
0
not entailment
~((l>x))
((s&u)|(g>(~(u)|(x|f))))
0
0
0
0
not entailment
~((u>(~(s)>((u>f)&u))))
~((l&s))
1
1
0
0
entailment
((x&s)|x)
(~(g)>(x|g))
1
0
0
0
entailment
~((u>(~(s)>((u>f)&u))))
(~(g)>(x|g))
0
1
0
0
not entailment
((x&s)|x)
~((l&s))
0
1
0
0
not entailment
(s>((s|g)>u))
(~((~(~((x|s)))&s))|(x|u))
1
0
0
0
entailment
(l&((~((((l&x)|x)|x))&((f>x)&f))|(l>f)))
((((g&s)|f)>~(x))>(((u|u)>s)>((s&l)|l)))
1
1
0
0
entailment
(s>((s|g)>u))
((((g&s)|f)>~(x))>(((u|u)>s)>((s&l)|l)))
0
0
0
0
not entailment
(l&((~((((l&x)|x)|x))&((f>x)&f))|(l>f)))
(~((~(~((x|s)))&s))|(x|u))
0
1
0
0
not entailment
(s&u)
(s|((u|(s|u))&~((l>l))))
1
0
0
0
entailment
((~(g)|(g&s))&((x|((x&x)&x))&~((u&x))))
(x|g)
1
1
1
1
entailment
(s&u)
(x|g)
0
1
0
0
not entailment
((~(g)|(g&s))&((x|((x&x)&x))&~((u&x))))
(s|((u|(s|u))&~((l>l))))
0
1
0
0
not entailment
~(~((~((f>g))&u)))
(g|u)
1
1
1
0
entailment
(~((~(~(f))&(~(g)&~(((f&g)&g)))))&x)
(~(f)|((f&u)>(g|g)))
1
1
0
0
entailment
~(~((~((f>g))&u)))
(~(f)|((f&u)>(g|g)))
0
1
1
0
not entailment
(~((~(~(f))&(~(g)&~(((f&g)&g)))))&x)
(g|u)
0
1
0
0
not entailment
(f&(l|l))
((s>l)&((x|f)|(f|(l|(x|u)))))
1
0
0
0
entailment
((g&u)&~((g&(u>(l|(f|x))))))
~((u>(f&s)))
1
1
0
0
entailment
(f&(l|l))
~((u>(f&s)))
0
0
0
0
not entailment
((g&u)&~((g&(u>(l|(f|x))))))
((s>l)&((x|f)|(f|(l|(x|u)))))
0
1
0
0
not entailment
((x&(l&l))&(~((s&u))>~(~((s|f)))))
((~(u)>((l|f)&s))>l)
1
1
1
0
entailment
((~((g|~((s&~(g)))))>u)>(g>u))
~((g&~((((g>l)&f)>u))))
1
1
0
0
entailment
((x&(l&l))&(~((s&u))>~(~((s|f)))))
~((g&~((((g>l)&f)>u))))
0
1
0
0
not entailment
((~((g|~((s&~(g)))))>u)>(g>u))
((~(u)>((l|f)&s))>l)
0
1
0
0
not entailment
(s|~(((s>l)|(f&((s&u)>s)))))
((s&(g|x))|(~(g)&~(x)))
1
1
0
0
entailment
((u&~((f&s)))&~(~(~(g))))
~((g&((((x|f)|x)>g)>(~(x)|(s&l)))))
1
0
0
0
entailment
(s|~(((s>l)|(f&((s&u)>s)))))
~((g&((((x|f)|x)>g)>(~(x)|(s&l)))))
0
0
0
0
not entailment
((u&~((f&s)))&~(~(~(g))))
((s&(g|x))|(~(g)&~(x)))
0
1
0
0
not entailment
~((s>(u>x)))
(~((~(u)&g))|(f&u))
1
0
0
0
entailment
~(~(((s|~(((f|s)&u)))&x)))
(x|g)
1
1
0
0
entailment
~((s>(u>x)))
(x|g)
0
1
0
0
not entailment
~(~(((s|~(((f|s)&u)))&x)))
(~((~(u)&g))|(f&u))
0
1
0
0
not entailment
~(((~((u>((g|l)&x)))|(s>l))|(s>(s>g))))
(l>(s>~((l>(~((x|(l>x)))|~(l))))))
1
1
1
0
entailment
((u>l)>(l&(x>g)))
((((x&(g&s))>u)>(u|f))|(s>l))
1
0
0
0
entailment
~(((~((u>((g|l)&x)))|(s>l))|(s>(s>g))))
((((x&(g&s))>u)>(u|f))|(s>l))
0
1
0
0
not entailment
((u>l)>(l&(x>g)))
(l>(s>~((l>(~((x|(l>x)))|~(l))))))
0
0
0
0
not entailment
(x|(u&x))
(~(~(((~((g&(u|l)))&x)|x)))|(g>s))
1
0
0
0
entailment
~((((x&(f&g))|(g&x))|x))
(x>(s&(f&f)))
1
1
0
0
entailment
(x|(u&x))
(x>(s&(f&f)))
0
0
0
0
not entailment
~((((x&(f&g))|(g&x))|x))
(~(~(((~((g&(u|l)))&x)|x)))|(g>s))
0
0
0
0
not entailment
~((((~(x)&(s|g))&~(f))|(f|x)))
(x>(g&f))
1
1
1
0
entailment
~((~((f&f))|~((s|g))))
~(~(f))
1
1
1
1
entailment
~((((~(x)&(s|g))&~(f))|(f|x)))
~(~(f))
0
1
1
1
not entailment
~((~((f&f))|~((s|g))))
(x>(g&f))
0
1
0
0
not entailment
~(((u>(((f>x)|(~(f)|f))&f))>((x|g)|s)))
(l>~(x))
1
1
0
0
entailment
((l|s)&((x|(x&g))|x))
(~((u|x))>(g&x))
1
1
0
0
entailment