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
~((~((c|(s|m)))|(((a&d)|d)>(s|c))))
(~(~((~((m&s))>~(s))))&~((m&~(d))))
1
0
1
0
entailment
(c&(((m&v)&f)>c))
~((f&~((v|c))))
1
1
1
0
entailment
~((~((c|(s|m)))|(((a&d)|d)>(s|c))))
~((f&~((v|c))))
0
1
0
0
not entailment
(c&(((m&v)&f)>c))
(~(~((~((m&s))>~(s))))&~((m&~(d))))
0
0
0
0
not entailment
(~((((s&d)|(f&s))>(c|m)))&((f>m)&(v>f)))
(v>m)
1
1
1
1
entailment
(f&a)
~(~(((m&(v|v))|a)))
1
0
0
0
entailment
(~((((s&d)|(f&s))>(c|m)))&((f>m)&(v>f)))
~(~(((m&(v|v))|a)))
0
1
0
0
not entailment
(f&a)
(v>m)
0
1
0
0
not entailment
~(((c>m)>~(~((f|(v|m))))))
(~(((s&v)>(a|m)))>(c>(v&(s>m))))
1
0
0
0
entailment
(((s|a)|((s>((c|a)>d))&s))&~(a))
(s|(~((f>(a|v)))|m))
1
1
0
0
entailment
~(((c>m)>~(~((f|(v|m))))))
(s|(~((f>(a|v)))|m))
0
1
0
0
not entailment
(((s|a)|((s>((c|a)>d))&s))&~(a))
(~(((s&v)>(a|m)))>(c>(v&(s>m))))
0
1
0
0
not entailment
~(((((c&m)|s)&(s&~((c|s))))|(c|m)))
(m>~((~((d&d))>f)))
1
1
0
0
entailment
((f&v)&~(~((~(s)&v))))
(~(~((~(((v|v)&(f|c)))&s)))>((s|c)&f))
1
0
0
0
entailment
~(((((c&m)|s)&(s&~((c|s))))|(c|m)))
(~(~((~(((v|v)&(f|c)))&s)))>((s|c)&f))
0
0
0
0
not entailment
((f&v)&~(~((~(s)&v))))
(m>~((~((d&d))>f)))
0
1
0
0
not entailment
~(~(~(((~(d)&~((v&((m>m)|d))))>s))))
((((s&a)&(m&c))|d)>((((a&v)&c)>s)|~(m)))
1
1
0
0
entailment
(v&((c&d)&~(~(((d>c)&d)))))
((~(a)>((a>~((c>c)))|a))&v)
1
1
0
0
entailment
~(~(~(((~(d)&~((v&((m>m)|d))))>s))))
((~(a)>((a>~((c>c)))|a))&v)
0
1
0
0
not entailment
(v&((c&d)&~(~(((d>c)&d)))))
((((s&a)&(m&c))|d)>((((a&v)&c)>s)|~(m)))
0
0
0
0
not entailment
~((((f&s)&v)>(~(d)>m)))
(v|(a>~((a&m))))
1
1
0
0
entailment
((a&d)&(f>c))
((a>c)>((c&(a|v))|(~((a|s))|c)))
1
0
0
0
entailment
~((((f&s)&v)>(~(d)>m)))
((a>c)>((c&(a|v))|(~((a|s))|c)))
0
0
0
0
not entailment
((a&d)&(f>c))
(v|(a>~((a&m))))
0
0
0
0
not entailment
~((~(v)|c))
(~(~((v&v)))&(v|(((s|d)|d)>~((s&d)))))
1
0
0
0
entailment
(c&f)
((a&a)|~(((s|c)>a)))
1
0
0
0
entailment
~((~(v)|c))
((a&a)|~(((s|c)>a)))
0
0
0
0
not entailment
(c&f)
(~(~((v&v)))&(v|(((s|d)|d)>~((s&d)))))
0
0
0
0
not entailment
(v&c)
(a|(~(v)>s))
1
0
0
0
entailment
(d&~(c))
((m>(a&(d|(d>f))))>((d|a)&d))
1
0
0
0
entailment
(v&c)
((m>(a&(d|(d>f))))>((d|a)&d))
0
0
0
0
not entailment
(d&~(c))
(a|(~(v)>s))
0
0
0
0
not entailment
~((f|(m|a)))
~(((m&(~((c>s))>(s|d)))|f))
1
0
0
0
entailment
(d&d)
(((a&(f>d))|v)>d)
1
0
0
0
entailment
~((f|(m|a)))
(((a&(f>d))|v)>d)
0
0
0
0
not entailment
(d&d)
~(((m&(~((c>s))>(s|d)))|f))
0
0
0
0
not entailment
(g&(d>x))
((d|((r>r)&g))|(y|x))
1
0
0
0
entailment
(u&~((~(((e|q)&y))&~((y>~(g))))))
(~(((y>x)&(q&r)))|u)
1
1
0
0
entailment
(g&(d>x))
(~(((y>x)&(q&r)))|u)
0
0
0
0
not entailment
(u&~((~(((e|q)&y))&~((y>~(g))))))
((d|((r>r)&g))|(y|x))
0
1
0
0
not entailment
(y&(~(~((g&z)))&((r>g)|(u|y))))
((u>y)|((e&z)&z))
1
1
0
0
entailment
((~((q|(y|y)))&(e&e))|((y&e)&d))
((~(u)&~(e))>u)
1
1
0
0
entailment
(y&(~(~((g&z)))&((r>g)|(u|y))))
((~(u)&~(e))>u)
0
1
0
0
not entailment
((~((q|(y|y)))&(e&e))|((y&e)&d))
((u>y)|((e&z)&z))
0
1
0
0
not entailment
~((~((((r>z)>~(u))|((q>z)>r)))|d))
(d>((~(g)|(e&r))&((r&q)&u)))
1
1
0
0
entailment
(z|z)
(r>((u|z)|(z|g)))
1
0
0
0
entailment
~((~((((r>z)>~(u))|((q>z)>r)))|d))
(r>((u|z)|(z|g)))
0
1
0
0
not entailment
(z|z)
(d>((~(g)|(e&r))&((r&q)&u)))
0
0
0
0
not entailment
(~(~((z&g)))&d)
~(((x|z)>(x&(~((x|y))&(z|(e|y))))))
1
0
0
0
entailment
(q&y)
(q>y)
1
1
1
0
entailment
(~(~((z&g)))&d)
(q>y)
0
1
0
0
not entailment
(q&y)
~(((x|z)>(x&(~((x|y))&(z|(e|y))))))
0
0
0
0
not entailment
(~(((~(x)>(~(~(z))&x))>z))&(u>z))
(((d|e)>(z|r))|(x|~(((u>x)&e))))
1
1
0
0
entailment
((d&(y|~(d)))&(g>d))
(((q>g)>y)|(g>y))
1
1
0
0
entailment
(~(((~(x)>(~(~(z))&x))>z))&(u>z))
(((q>g)>y)|(g>y))
0
1
0
0
not entailment
((d&(y|~(d)))&(g>d))
(((d|e)>(z|r))|(x|~(((u>x)&e))))
0
0
0
0
not entailment
((g&~(d))&~((x>(e|e))))
(((x&x)|u)|(~((r&u))>z))
1
1
0
0
entailment
~(~(~((e|y))))
~((y&y))
1
1
1
1
entailment
((g&~(d))&~((x>(e|e))))
~((y&y))
0
1
0
0
not entailment
~(~(~((e|y))))
(((x&x)|u)|(~((r&u))>z))
0
0
0
0
not entailment
((~(q)&y)&x)
(~((y|r))>((~(r)|e)&(e|y)))
1
0
0
0
entailment
(~(((u>z)|~(~(((d|z)&d)))))&(z>u))
(z>(d&(g>(z|~(y)))))
1
1
0
0
entailment
((~(q)&y)&x)
(z>(d&(g>(z|~(y)))))
0
0
0
0
not entailment
(~(((u>z)|~(~(((d|z)&d)))))&(z>u))
(~((y|r))>((~(r)|e)&(e|y)))
0
1
0
0
not entailment
~((r|~((((d>z)|d)>q))))
(((q>(u>u))&(g&(y>q)))|(e>~((g&e))))
1
0
0
0
entailment
~(((~(~((x&d)))>((r&x)>z))|((y&u)&z)))
~(~(((y>e)>r)))
1
1
0
0
entailment
~((r|~((((d>z)|d)>q))))
~(~(((y>e)>r)))
0
1
0
0
not entailment
~(((~(~((x&d)))>((r&x)>z))|((y&u)&z)))
(((q>(u>u))&(g&(y>q)))|(e>~((g&e))))
0
1
0
0
not entailment
((u&d)&~((y&(q>q))))
(~(~(((g>u)>d)))|(e|~(((y|z)|x))))
1
0
0
0
entailment
((z&q)&q)
(q|y)
1
1
0
0
entailment
((u&d)&~((y&(q>q))))
(q|y)
0
1
1
0
not entailment
((z&q)&q)
(~(~(((g>u)>d)))|(e|~(((y|z)|x))))
0
0
0
0
not entailment
(u&~((~(g)|(e&(x|u)))))
(d|(g&u))
1
1
0
0
entailment
(~(y)>(d&y))
(~(y)>e)
1
1
0
0
entailment
(u&~((~(g)|(e&(x|u)))))
(~(y)>e)
0
1
0
0
not entailment
(~(y)>(d&y))
(d|(g&u))
0
1
0
0
not entailment
((((r&e)|d)&((r&d)&(x>(x|z))))&y)
(~(((~(((u|r)>u))>x)>d))>x)
1
1
0
0
entailment
~(e)
(e>~(x))
1
0
0
0
entailment
((((r&e)|d)&((r&d)&(x>(x|z))))&y)
(e>~(x))
0
1
1
0
not entailment
~(e)
(~(((~(((u|r)>u))>x)>d))>x)
0
0
0
0
not entailment
((z>g)&(y&q))
(y|((g>u)>x))
1
1
0
0
entailment
~(((x>(u>e))&((z>d)|(q&g))))
((q|(q&d))>(((y|x)>(x&y))>(d>u)))
1
0
0
0
entailment
((z>g)&(y&q))
((q|(q&d))>(((y|x)>(x&y))>(d>u)))
0
0
0
0
not entailment
~(((x>(u>e))&((z>d)|(q&g))))
(y|((g>u)>x))
0
1
0
0
not entailment
~(~((((d>z)&q)&d)))
(~((g|x))>(((x>d)&e)|z))
1
0
0
0
entailment
(u&r)
(u|~(~((x|((u>d)&(x|u))))))
1
0
0
0
entailment
~(~((((d>z)&q)&d)))
(u|~(~((x|((u>d)&(x|u))))))
0
0
0
0
not entailment
(u&r)
(~((g|x))>(((x>d)&e)|z))
0
0
0
0
not entailment
((q|x)&~((((x&x)&d)>y)))
(z>~((d&y)))
1
1
0
0
entailment
~((r|((~(g)&(u>y))>(y>x))))
(~(((~((~((g|u))|g))>(d|(x|x)))&x))|z)
1
0
0
0
entailment
((q|x)&~((((x&x)&d)>y)))
(~(((~((~((g|u))|g))>(d|(x|x)))&x))|z)
0
0
0
0
not entailment
~((r|((~(g)&(u>y))>(y>x))))
(z>~((d&y)))
0
1
0
0
not entailment
~((~(((q>(u&y))&(g|r)))>(q>(z|d))))
((x&(q>g))>(~(r)>(u|q)))
1
1
0
0
entailment
((~(u)|y)&(x&(g|q)))
((~((e&(z|d)))|~((u>(e|y))))>((y|x)>x))
1
0
0
0
entailment
~((~(((q>(u&y))&(g|r)))>(q>(z|d))))
((~((e&(z|d)))|~((u>(e|y))))>((y|x)>x))
0
0
0
0
not entailment
((~(u)|y)&(x&(g|q)))
((x&(q>g))>(~(r)>(u|q)))
0
0
0
0
not entailment
~(((x>y)|~(q)))
(x|((q>g)|(z&z)))
1
1
0
0
entailment
(((u|e)>(z&u))>((z&e)|(((z>d)|x)&u)))
(((g|q)>(d|e))|((z|u)|((z|g)>y)))
1
1
0
0
entailment
~(((x>y)|~(q)))
(((g|q)>(d|e))|((z|u)|((z|g)>y)))
0
0
0
0
not entailment
(((u|e)>(z&u))>((z&e)|(((z>d)|x)&u)))
(x|((q>g)|(z&z)))
0
1
0
0
not entailment