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