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
(~((s|~(((a&e)&r))))&(e|((r>j)&k)))
(j|e)
1
1
1
1
entailment
(~(((s|(a&(e&s)))|(k>k)))|(y&s))
(j|(s&(s|k)))
1
1
0
0
entailment
(~((s|~(((a&e)&r))))&(e|((r>j)&k)))
(j|(s&(s|k)))
0
1
1
0
not entailment
(~(((s|(a&(e&s)))|(k>k)))|(y&s))
(j|e)
0
1
0
0
not entailment
(e&(e>(s>y)))
~((((~(a)|(y>~(s)))|(k>k))&~(e)))
1
0
0
0
entailment
~((s|(~(e)>(a>y))))
~((e&(y&~(r))))
1
1
0
0
entailment
(e&(e>(s>y)))
~((e&(y&~(r))))
0
0
0
0
not entailment
~((s|(~(e)>(a>y))))
~((((~(a)|(y>~(s)))|(k>k))&~(e)))
0
0
0
0
not entailment
(y&(j&(e>~(k))))
(((a>(k&r))>~(y))>(((s|r)>(a&a))|e))
1
0
0
0
entailment
(~(~(k))&((~(s)|e)>r))
(~(k)>e)
1
1
1
0
entailment
(y&(j&(e>~(k))))
(~(k)>e)
0
1
1
0
not entailment
(~(~(k))&((~(s)|e)>r))
(((a>(k&r))>~(y))>(((s|r)>(a&a))|e))
0
0
0
0
not entailment
(~(((a>k)|(s>y)))&~((k|r)))
(((s&~(j))&a)|(j|r))
1
1
0
0
entailment
~(((~(s)>~(((e|s)>r)))|e))
~((~((((s|s)|(e|e))&j))>e))
1
1
0
0
entailment
(~(((a>k)|(s>y)))&~((k|r)))
~((~((((s|s)|(e|e))&j))>e))
0
1
0
0
not entailment
~(((~(s)>~(((e|s)>r)))|e))
(((s&~(j))&a)|(j|r))
0
1
0
0
not entailment
(a&j)
(~(~(((k&(a|r))|j)))|y)
1
0
0
0
entailment
(a&s)
(((s&s)>(a&~(k)))>(e>((k&j)>s)))
1
0
0
0
entailment
(a&j)
(((s&s)>(a&~(k)))>(e>((k&j)>s)))
0
0
0
0
not entailment
(a&s)
(~(~(((k&(a|r))|j)))|y)
0
0
0
0
not entailment
(a&y)
((a|~(j))&(~(y)|a))
1
0
0
0
entailment
(k|(j&~((s>(a>j)))))
((j&j)|((((r&y)>r)&r)>k))
1
0
0
0
entailment
(a&y)
((j&j)|((((r&y)>r)&r)>k))
0
0
0
0
not entailment
(k|(j&~((s>(a>j)))))
((a|~(j))&(~(y)|a))
0
1
0
0
not entailment
(((a>k)&(e&s))&k)
(((k|(y>j))>r)|(k|y))
1
0
0
0
entailment
~(((s&(s|k))|e))
~((e&s))
1
1
1
1
entailment
(((a>k)&(e&s))&k)
~((e&s))
0
1
1
0
not entailment
~(((s&(s|k))|e))
(((k|(y>j))>r)|(k|y))
0
0
0
0
not entailment
(s&~(j))
(((j>(e|s))|(y|y))|(e&~((r>(a>a)))))
1
0
0
0
entailment
(~(y)&r)
(~(~(r))|y)
1
0
1
0
entailment
(s&~(j))
(~(~(r))|y)
0
0
0
0
not entailment
(~(y)&r)
(((j>(e|s))|(y|y))|(e&~((r>(a>a)))))
0
0
0
0
not entailment
~((s>k))
((y>s)|((~(s)&k)|k))
1
0
0
0
entailment
((y>~(~(a)))>j)
((e>~(y))>(e>((j&(s|e))|(k|j))))
1
0
0
0
entailment
~((s>k))
((e>~(y))>(e>((j&(s|e))|(k|j))))
0
0
0
0
not entailment
((y>~(~(a)))>j)
((y>s)|((~(s)&k)|k))
0
0
0
0
not entailment
((a>a)>~((((e&(~(r)&~(a)))&k)>(r&s))))
(((s>j)>~(((j>r)&(k>r))))&((~(r)>k)>e))
1
1
0
0
entailment
(k&(s&r))
(~(~(~(j)))>(s&(s&r)))
1
0
0
0
entailment
((a>a)>~((((e&(~(r)&~(a)))&k)>(r&s))))
(~(~(~(j)))>(s&(s&r)))
0
1
0
0
not entailment
(k&(s&r))
(((s>j)>~(((j>r)&(k>r))))&((~(r)>k)>e))
0
0
0
0
not entailment
(~(~(j))&(s|k))
(~(~(((e>(j&e))|~(k))))>(j|k))
1
0
0
0
entailment
~(((k|j)|((e&r)>~(y))))
(((y&(a>s))|a)&((y&(~(j)|~((a>a))))|e))
1
0
0
0
entailment
(~(~(j))&(s|k))
(((y&(a>s))|a)&((y&(~(j)|~((a>a))))|e))
0
0
0
0
not entailment
~(((k|j)|((e&r)>~(y))))
(~(~(((e>(j&e))|~(k))))>(j|k))
0
0
1
0
not entailment
((((e>k)>(k&j))>k)&k)
(~(k)>e)
1
1
1
0
entailment
(y&s)
~((j&~(s)))
1
0
0
0
entailment
((((e>k)>(k&j))>k)&k)
~((j&~(s)))
0
1
0
0
not entailment
(y&s)
(~(k)>e)
0
0
0
0
not entailment
(y&(~((a&~(s)))|k))
~((~(((a&s)>y))&((r>k)>(~((k>e))>j))))
1
0
0
0
entailment
(((s&e)>k)>~((((e>j)>((a|j)|j))|r)))
((((j>(r>r))|s)>(k&(j|j)))>(y&(k>s)))
1
1
0
0
entailment
(y&(~((a&~(s)))|k))
((((j>(r>r))|s)>(k&(j|j)))>(y&(k>s)))
0
0
0
0
not entailment
(((s&e)>k)>~((((e>j)>((a|j)|j))|r)))
~((~(((a&s)>y))&((r>k)>(~((k>e))>j))))
0
0
0
0
not entailment
((e>g)>~((~((((w&u)>q)|(x|g)))>(q&e))))
(g>w)
1
1
1
1
entailment
~((~(x)>((w|m)>(u|((z|d)&x)))))
(~((~((d>m))&x))|m)
1
1
1
1
entailment
((e>g)>~((~((((w&u)>q)|(x|g)))>(q&e))))
(~((~((d>m))&x))|m)
0
1
0
0
not entailment
~((~(x)>((w|m)>(u|((z|d)&x)))))
(g>w)
0
1
0
0
not entailment
~((~((u&q))|(e|((g&q)>((q>x)&w)))))
~((e&z))
1
1
0
0
entailment
~(~(~(((((m>g)>m)&x)>~(d)))))
(((u>d)|(u>(u&(x|(z&d)))))|(w|x))
1
1
0
0
entailment
~((~((u&q))|(e|((g&q)>((q>x)&w)))))
(((u>d)|(u>(u&(x|(z&d)))))|(w|x))
0
1
0
0
not entailment
~(~(~(((((m>g)>m)&x)>~(d)))))
~((e&z))
0
1
0
0
not entailment
(x>(~(w)&~(z)))
((w&(d&d))>((z&g)>(x>u)))
1
0
0
0
entailment
((e|e)&g)
(~(e)|((x|(u&q))|g))
1
0
0
0
entailment
(x>(~(w)&~(z)))
(~(e)|((x|(u&q))|g))
0
0
0
0
not entailment
((e|e)&g)
((w&(d&d))>((z&g)>(x>u)))
0
0
0
0
not entailment
~(~(e))
(~(d)|((z|u)>(e|(m>x))))
1
0
0
0
entailment
~(((e|x)&((d&w)>w)))
(e>((~(~((w|(~(w)&x))))&(z|w))&e))
1
0
0
0
entailment
~(~(e))
(e>((~(~((w|(~(w)&x))))&(z|w))&e))
0
0
0
0
not entailment
~(((e|x)&((d&w)>w)))
(~(d)|((z|u)>(e|(m>x))))
0
0
0
0
not entailment
~((~((w|((~((e>e))|q)>d)))>d))
(u>(~(d)|~(((e|e)>((e>(x>~(z)))&q)))))
1
0
0
0
entailment
(m>((z&~((e>g)))&e))
(~(m)|~(g))
1
1
1
1
entailment
~((~((w|((~((e>e))|q)>d)))>d))
(~(m)|~(g))
0
1
0
0
not entailment
(m>((z&~((e>g)))&e))
(u>(~(d)|~(((e|e)>((e>(x>~(z)))&q)))))
0
0
0
0
not entailment
(m&~((x|u)))
~((x&m))
1
1
1
0
entailment
(~(g)&~(((m&e)>g)))
~((((x>q)&~(e))|(g&m)))
1
0
0
0
entailment
(m&~((x|u)))
~((((x>q)&~(e))|(g&m)))
0
0
0
0
not entailment
(~(g)&~(((m&e)>g)))
~((x&m))
0
1
0
0
not entailment
~((w|~((q|(w&x)))))
((x&(q&w))>(x&~((x|(x>w)))))
1
0
1
0
entailment
~((~(~((z>e)))|g))
(~(~(~(((e|((x>(x&x))>x))>d))))>x)
1
0
0
0
entailment
~((w|~((q|(w&x)))))
(~(~(~(((e|((x>(x&x))>x))>d))))>x)
0
0
0
0
not entailment
~((~(~((z>e)))|g))
((x&(q&w))>(x&~((x|(x>w)))))
0
0
0
0
not entailment
~(((d&(z&(q&~(x))))>~(((g&g)|q))))
(~((~((w&x))>d))>(q&(u>g)))
1
1
0
0
entailment
(~(~(~(g)))&w)
~((((g|u)&g)&(~(d)|d)))
1
0
0
0
entailment
~(((d&(z&(q&~(x))))>~(((g&g)|q))))
~((((g|u)&g)&(~(d)|d)))
0
1
0
0
not entailment
(~(~(~(g)))&w)
(~((~((w&x))>d))>(q&(u>g)))
0
0
0
0
not entailment
((w>(w&q))&(u&q))
((w&w)>((((z>u)&(m|w))|u)>(~(q)|(x|u))))
1
0
0
0
entailment
~((z&(m|~(g))))
((z>e)|((x&m)>~((u>((m|e)&x)))))
1
0
0
0
entailment
((w>(w&q))&(u&q))
((z>e)|((x&m)>~((u>((m|e)&x)))))
0
0
0
0
not entailment
~((z&(m|~(g))))
((w&w)>((((z>u)&(m|w))|u)>(~(q)|(x|u))))
0
0
0
0
not entailment
((w>(q&(((x&q)>(x|m))&(~(d)&(x&u)))))&w)
((((x|d)&e)>~(~(d)))>((m>w)&(u&w)))
1
1
0
0
entailment
(((z|d)&g)&e)
(u>g)
1
1
0
0
entailment
((w>(q&(((x&q)>(x|m))&(~(d)&(x&u)))))&w)
(u>g)
0
1
0
0
not entailment
(((z|d)&g)&e)
((((x|d)&e)>~(~(d)))>((m>w)&(u&w)))
0
0
0
0
not entailment
((((z|e)&x)&(z&e))&(~(m)|q))
~(~((z|(g&(u>m)))))
1
1
0
0
entailment
((e>(m&e))&~((x|~(((e|x)&e)))))
((q|(e>u))>(m|(u&q)))
1
1
0
0
entailment
((((z|e)&x)&(z&e))&(~(m)|q))
((q|(e>u))>(m|(u&q)))
0
1
0
0
not entailment
((e>(m&e))&~((x|~(((e|x)&e)))))
~(~((z|(g&(u>m)))))
0
1
0
0
not entailment
((z&e)&m)
~(~((g>(((d|e)|x)>m))))
1
0
0
0
entailment
~((z|(d>w)))
(~(~(((x|g)&((g|e)>g))))>d)
1
0
0
0
entailment
((z&e)&m)
(~(~(((x|g)&((g|e)>g))))>d)
0
0
0
0
not entailment
~((z|(d>w)))
~(~((g>(((d|e)|x)>m))))
0
0
0
0
not entailment