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
(((((x|b)>~(b))&b)|x)&~(((s>a)|b)))
(f|(x&x))
1
1
0
0
entailment
(g|(((x|i)&b)&~(n)))
(~((b|(g&s)))>((n|(n|f))>(b|(n|g))))
1
0
0
0
entailment
(((((x|b)>~(b))&b)|x)&~(((s>a)|b)))
(~((b|(g&s)))>((n|(n|f))>(b|(n|g))))
0
1
0
0
not entailment
(g|(((x|i)&b)&~(n)))
(f|(x&x))
0
1
0
0
not entailment
(n&(l&i))
(((n|s)|(a|((g>f)&s)))|b)
1
0
0
0
entailment
(~(~(((n|i)>((t&a)|((n>s)|i)))))>(l&x))
((s>(x|~(n)))|~((t>l)))
1
1
1
0
entailment
(n&(l&i))
((s>(x|~(n)))|~((t>l)))
0
0
0
0
not entailment
(~(~(((n|i)>((t&a)|((n>s)|i)))))>(l&x))
(((n|s)|(a|((g>f)&s)))|b)
0
1
0
0
not entailment
~(((l>f)|((l&b)>(f&(a|s)))))
~(~(((b>(x>x))>((a|((l|n)|t))>l))))
1
0
0
0
entailment
~(~(((a|(s&b))&(x&b))))
~(~(~(~(((g|l)>((n|g)>x))))))
1
0
0
0
entailment
~(((l>f)|((l&b)>(f&(a|s)))))
~(~(~(~(((g|l)>((n|g)>x))))))
0
0
0
0
not entailment
~(~(((a|(s&b))&(x&b))))
~(~(((b>(x>x))>((a|((l|n)|t))>l))))
0
0
0
0
not entailment
(((l|~(l))>b)&(~((g|t))&~(i)))
~((~(b)&(((i>f)&~(~(i)))>x)))
1
1
0
0
entailment
~((~(~(~((x&x))))|((x>a)>l)))
(~((((l&n)&b)&(x|(a&(x|x)))))&~(l))
1
0
0
0
entailment
(((l|~(l))>b)&(~((g|t))&~(i)))
(~((((l&n)&b)&(x|(a&(x|x)))))&~(l))
0
0
0
0
not entailment
~((~(~(~((x&x))))|((x>a)>l)))
~((~(b)&(((i>f)&~(~(i)))>x)))
0
1
0
0
not entailment
~((~((l>g))|((((t>l)&i)>n)&b)))
((~(~(n))|(s&(i|f)))>(((t&(b&x))>l)|g))
1
0
0
0
entailment
~(~(i))
(~((g|a))|i)
1
0
0
0
entailment
~((~((l>g))|((((t>l)&i)>n)&b)))
(~((g|a))|i)
0
1
0
0
not entailment
~(~(i))
((~(~(n))|(s&(i|f)))>(((t&(b&x))>l)|g))
0
0
0
0
not entailment
~(k)
(~(((k|(u&r))&~((m&k))))>(o>~(k)))
1
0
0
0
entailment
((((v&r)&(d&g))&u)&((r|(g&r))&(z&q)))
(d&((z|d)|(~(r)>~(~(o)))))
1
1
0
0
entailment
~(k)
(d&((z|d)|(~(r)>~(~(o)))))
0
0
0
0
not entailment
((((v&r)&(d&g))&u)&((r|(g&r))&(z&q)))
(~(((k|(u&r))&~((m&k))))>(o>~(k)))
0
1
0
0
not entailment
((~((v>(r>m)))&((u&v)&d))&(v>(o&u)))
((q|~(o))>d)
1
1
0
0
entailment
((~(q)&g)&z)
~((g&q))
1
1
1
0
entailment
((~((v>(r>m)))&((u&v)&d))&(v>(o&u)))
~((g&q))
0
1
0
0
not entailment
((~(q)&g)&z)
((q|~(o))>d)
0
1
0
0
not entailment
~((~((k|m))>~(g)))
(g|u)
1
1
0
0
entailment
(~(~(m))&(v>v))
((v&z)>((m&q)|m))
1
1
0
0
entailment
~((~((k|m))>~(g)))
((v&z)>((m&q)|m))
0
1
0
0
not entailment
(~(~(m))&(v>v))
(g|u)
0
1
0
0
not entailment
((((d&~(((q|q)|v)))&k)>~(g))&g)
((q|m)|(g|~(o)))
1
1
0
0
entailment
((o>v)&o)
~(~((~(v)>(u&k))))
1
0
0
0
entailment
((((d&~(((q|q)|v)))&k)>~(g))&g)
~(~((~(v)>(u&k))))
0
1
0
0
not entailment
((o>v)&o)
((q|m)|(g|~(o)))
0
0
0
0
not entailment
(((z&u)&(z|~(((m|q)|(u|(r|u))))))&(q&d))
(((u|(z|g))|m)>(k>(u>d)))
1
1
0
0
entailment
((r&q)&~(g))
((m|~(g))|(~((z>g))&((m|r)&d)))
1
0
0
0
entailment
(((z&u)&(z|~(((m|q)|(u|(r|u))))))&(q&d))
((m|~(g))|(~((z>g))&((m|r)&d)))
0
1
0
0
not entailment
((r&q)&~(g))
(((u|(z|g))|m)>(k>(u>d)))
0
0
0
0
not entailment
(m&~(((d&~(~(v)))&(z&v))))
((((~(k)>q)>~(d))>v)>((m|~(q))|z))
1
0
0
0
entailment
~(((g>m)|((g&q)>(d|z))))
(g|(k|d))
1
1
0
0
entailment
(m&~(((d&~(~(v)))&(z&v))))
(g|(k|d))
0
1
0
0
not entailment
~(((g>m)|((g&q)>(d|z))))
((((~(k)>q)>~(d))>v)>((m|~(q))|z))
0
0
0
0
not entailment
((u&m)&~(~((q&o))))
((m>~((o|~(~(v)))))>(g>~(~(d))))
1
0
0
0
entailment
((r>(~(q)&(v>m)))&(g&o))
((g|(d|~(((q&o)|g))))&((o|v)>(k>k)))
1
0
0
0
entailment
((u&m)&~(~((q&o))))
((g|(d|~(((q&o)|g))))&((o|v)>(k>k)))
0
0
0
0
not entailment
((r>(~(q)&(v>m)))&(g&o))
((m>~((o|~(~(v)))))>(g>~(~(d))))
0
0
0
0
not entailment
~((~(v)>~((z|(r|(u>u))))))
(d|((z&~(((v>q)|(g&g))))>m))
1
1
0
0
entailment
(~(d)&~((~(~((m>q)))>(g&(~(v)|k)))))
(d>k)
1
1
1
0
entailment
~((~(v)>~((z|(r|(u>u))))))
(d>k)
0
1
0
0
not entailment
(~(d)&~((~(~((m>q)))>(g&(~(v)|k)))))
(d|((z&~(((v>q)|(g&g))))>m))
0
1
0
0
not entailment
~(((q>u)|(m|k)))
((v|d)>(~(((z|k)>q))>k))
1
0
0
0
entailment
~(~(g))
((~(d)|z)|((r>g)|o))
1
0
0
0
entailment
~(((q>u)|(m|k)))
((~(d)|z)|((r>g)|o))
0
0
0
0
not entailment
~(~(g))
((v|d)>(~(((z|k)>q))>k))
0
0
0
0
not entailment
~((((o>v)>r)>(((k|z)&o)>(k>~(r)))))
~((~(((d|z)|u))&~((~((k&~(z)))>v))))
1
0
0
0
entailment
~((~(g)>v))
(v>(d&d))
1
1
0
0
entailment
~((((o>v)>r)>(((k|z)&o)>(k>~(r)))))
(v>(d&d))
0
1
0
0
not entailment
~((~(g)>v))
~((~(((d|z)|u))&~((~((k&~(z)))>v))))
0
0
0
0
not entailment
~((((((o|k)|u)>(~(d)&(v>r)))&d)>(q|r)))
(~(~((q&~(~((v|z))))))|d)
1
1
0
0
entailment
((~(((u>k)&~((m>(g&z)))))&((d&r)|z))&m)
~((~(m)&(((v|z)|(z&o))|((o|v)&~(z)))))
1
1
0
0
entailment
~((((((o|k)|u)>(~(d)&(v>r)))&d)>(q|r)))
~((~(m)&(((v|z)|(z&o))|((o|v)&~(z)))))
0
1
0
0
not entailment
((~(((u>k)&~((m>(g&z)))))&((d&r)|z))&m)
(~(~((q&~(~((v|z))))))|d)
0
1
0
0
not entailment
(~((k>v))|((r&m)&(d>~(~(v)))))
(~((m|d))>(z>k))
1
1
0
0
entailment
~(~(g))
(g|(o&~(~(((o|q)|o)))))
1
0
0
0
entailment
(~((k>v))|((r&m)&(d>~(~(v)))))
(g|(o&~(~(((o|q)|o)))))
0
1
0
0
not entailment
~(~(g))
(~((m|d))>(z>k))
0
0
0
0
not entailment
~((((g|~(o))|q)|(d>~((m&u)))))
((((v>(z&d))&~(k))&r)>m)
1
1
0
0
entailment
(~((o>(u|k)))&v)
(~(~(~(d)))|v)
1
1
0
0
entailment
~((((g|~(o))|q)|(d>~((m&u)))))
(~(~(~(d)))|v)
0
1
0
0
not entailment
(~((o>(u|k)))&v)
((((v>(z&d))&~(k))&r)>m)
0
0
0
0
not entailment
(~(k)&(m&g))
(k>r)
1
1
0
0
entailment
~((~((v|~((o&u))))>~(o)))
~(~((~(d)>~((v&q)))))
1
1
0
0
entailment
(~(k)&(m&g))
~(~((~(d)>~((v&q)))))
0
0
0
0
not entailment
~((~((v|~((o&u))))>~(o)))
(k>r)
0
1
0
0
not entailment
(d>~(((v|(q>o))>(z|d))))
~((~((d&m))&~(~(d))))
1
1
0
0
entailment
~((((d&(m|g))>((~(q)|z)>m))|(r|~(q))))
((m>((q&k)|r))|(v>~((m|~(u)))))
1
1
0
0
entailment
(d>~(((v|(q>o))>(z|d))))
((m>((q&k)|r))|(v>~((m|~(u)))))
0
0
0
0
not entailment
~((((d&(m|g))>((~(q)|z)>m))|(r|~(q))))
~((~((d&m))&~(~(d))))
0
1
1
0
not entailment
~((m>(z>d)))
(z|(g|g))
1
1
0
0
entailment
~(((((d|k)|u)>(o>(k|(m&o))))|u))
(~((((m>o)>u)&z))&~(k))
1
1
0
0
entailment
~((m>(z>d)))
(~((((m>o)>u)&z))&~(k))
0
0
0
0
not entailment
~(((((d|k)|u)>(o>(k|(m&o))))|u))
(z|(g|g))
0
1
0
0
not entailment
~(((k|g)>(k>~(d))))
((~(k)&g)>z)
1
1
0
0
entailment
~((o>m))
(~((~(g)|((m|o)>(d>o))))>(r&m))
1
0
0
0
entailment
~(((k|g)>(k>~(d))))
(~((~(g)|((m|o)>(d>o))))>(r&m))
0
0
0
0
not entailment
~((o>m))
((~(k)&g)>z)
0
0
0
0
not entailment
~((~(k)|((g>m)>q)))
(~((m&((u|r)&u)))|k)
1
1
0
0
entailment
(~(((m&g)|(r|k)))&(o>u))
(k>q)
1
1
0
0
entailment
~((~(k)|((g>m)>q)))
(k>q)
0
1
1
0
not entailment
(~(((m&g)|(r|k)))&(o>u))
(~((m&((u|r)&u)))|k)
0
1
1
0
not entailment
~((m|q))
~(q)
1
1
1
1
entailment
(u&(~((u>q))>((o&q)&v)))
(((r&u)&(d&(m&q)))|(k|u))
1
1
0
0
entailment
~((m|q))
(((r&u)&(d&(m&q)))|(k|u))
0
0
0
0
not entailment
(u&(~((u>q))>((o&q)&v)))
~(q)
0
1
1
0
not entailment
((g>(k>g))>((o&v)&(~(g)>d)))
(((~(~((m>v)))&(q>r))&k)>o)
1
1
0
0
entailment
(r&((m&(o|(r&o)))|~(((z>d)>~(g)))))
(g>(z>r))
1
1
1
0
entailment
((g>(k>g))>((o&v)&(~(g)>d)))
(g>(z>r))
0
1
0
0
not entailment
(r&((m&(o|(r&o)))|~(((z>d)>~(g)))))
(((~(~((m>v)))&(q>r))&k)>o)
0
1
0
0
not entailment