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>(((n&j)|a)|~(((i>o)|o)))))
(x|(v>a))
1
1
0
0
entailment
(n&j)
(s|n)
1
1
0
0
entailment
~((x>(((n&j)|a)|~(((i>o)|o)))))
(s|n)
0
1
0
0
not entailment
(n&j)
(x|(v>a))
0
0
0
0
not entailment
(((~(((i&o)|i))&(o>o))|((x|u)&u))&v)
((((n&s)>s)>a)>(j>v))
1
1
0
0
entailment
(((x|x)&(i|a))&~((((o&i)|n)|r)))
(n>a)
1
1
1
1
entailment
(((~(((i&o)|i))&(o>o))|((x|u)&u))&v)
(n>a)
0
1
0
0
not entailment
(((x|x)&(i|a))&~((((o&i)|n)|r)))
((((n&s)>s)>a)>(j>v))
0
1
0
0
not entailment
~(~((~((n|(e&h)))&~((g|h)))))
((((f&e)>~(n))>(f|(e|(f&f))))|~((g|e)))
1
0
0
0
entailment
~(((~(g)|h)|h))
~((~(g)|h))
1
1
1
1
entailment
~(~((~((n|(e&h)))&~((g|h)))))
~((~(g)|h))
0
1
1
0
not entailment
~(((~(g)|h)|h))
((((f&e)>~(n))>(f|(e|(f&f))))|~((g|e)))
0
0
0
0
not entailment
(g&f)
((~(n)|~(~(f)))|(n&g))
1
0
0
0
entailment
~(f)
((g>(f>(~(h)&h)))|(k&(((k>k)|f)>~(e))))
1
0
0
0
entailment
(g&f)
((g>(f>(~(h)&h)))|(k&(((k>k)|f)>~(e))))
0
0
0
0
not entailment
~(f)
((~(n)|~(~(f)))|(n&g))
0
0
0
0
not entailment
((g&k)&g)
(f|k)
1
1
0
0
entailment
(((e>k)|((~(h)>(g&g))&(h&n)))&n)
(n&n)
1
1
1
1
entailment
((g&k)&g)
(n&n)
0
1
0
0
not entailment
(((e>k)|((~(h)>(g&g))&(h&n)))&n)
(f|k)
0
1
0
0
not entailment
~(~(h))
((g&(k|e))>((g|g)&h))
1
0
0
0
entailment
((f>~((~(k)|n)))&~((e&~(n))))
((((g|h)>(f&e))&e)>n)
1
1
0
0
entailment
~(~(h))
((((g|h)>(f&e))&e)>n)
0
0
0
0
not entailment
((f>~((~(k)|n)))&~((e&~(n))))
((g&(k|e))>((g|g)&h))
0
1
0
0
not entailment
((n|~(((~(~((e&(e|g))))|h)&k)))&e)
((e|g)|(n|n))
1
1
1
0
entailment
(h&k)
((k&((g|h)&~((~(h)&k))))|h)
1
0
0
0
entailment
((n|~(((~(~((e&(e|g))))|h)&k)))&e)
((k&((g|h)&~((~(h)&k))))|h)
0
1
1
0
not entailment
(h&k)
((e|g)|(n|n))
0
0
0
0
not entailment
(~((~((n>n))>(g&(f|(k&g)))))|(g|g))
(((g&g)>(h>n))>g)
1
1
0
0
entailment
(~((n&((f|g)|~(h))))&n)
(k>(~(((f|f)|(g>n)))>(n|e)))
1
0
0
0
entailment
(~((~((n>n))>(g&(f|(k&g)))))|(g|g))
(k>(~(((f|f)|(g>n)))>(n|e)))
0
1
0
0
not entailment
(~((n&((f|g)|~(h))))&n)
(((g&g)>(h>n))>g)
0
1
1
0
not entailment
(g&k)
(g>k)
1
1
1
0
entailment
(n&e)
(((e&k)|n)>~(~(n)))
1
0
0
0
entailment
(g&k)
(((e&k)|n)>~(~(n)))
0
0
0
0
not entailment
(n&e)
(g>k)
0
1
0
0
not entailment
((e|f)&(~(k)&g))
((~(n)&((e|k)|(e>h)))>(n|(g|k)))
1
0
0
0
entailment
~((((h>g)&e)|(e|((g&h)|e))))
~(((k|g)&e))
1
1
0
0
entailment
((e|f)&(~(k)&g))
~(((k|g)&e))
0
1
1
0
not entailment
~((((h>g)&e)|(e|((g&h)|e))))
((~(n)&((e|k)|(e>h)))>(n|(g|k)))
0
0
0
0
not entailment
(((f>n)>(e|e))&~(g))
(~((n&(f>h)))|e)
1
1
0
0
entailment
((h>~((k&k)))&g)
(~(((h>h)>g))>((~(n)&f)&((e>e)>n)))
1
0
0
0
entailment
(((f>n)>(e|e))&~(g))
(~(((h>h)>g))>((~(n)&f)&((e>e)>n)))
0
0
0
0
not entailment
((h>~((k&k)))&g)
(~((n&(f>h)))|e)
0
1
0
0
not entailment
(h&(e|h))
(f>h)
1
1
0
0
entailment
(f&n)
(((h&n)|(k>(n>(g>n))))&n)
1
0
0
0
entailment
(h&(e|h))
(((h&n)|(k>(n>(g>n))))&n)
0
0
0
0
not entailment
(f&n)
(f>h)
0
1
0
0
not entailment
(n>(~((n|(k&(e&k))))&(k>f)))
(n>(((((h|e)>n)&g)>(~(f)|e))|(k&n)))
1
0
0
0
entailment
((~((~(~(n))|(h&k)))>n)&(e|n))
((f|n)|(~((n|h))>(k>g)))
1
1
0
0
entailment
(n>(~((n|(k&(e&k))))&(k>f)))
((f|n)|(~((n|h))>(k>g)))
0
1
0
0
not entailment
((~((~(~(n))|(h&k)))>n)&(e|n))
(n>(((((h|e)>n)&g)>(~(f)|e))|(k&n)))
0
0
0
0
not entailment
(~(g)&(e&f))
~((g&(((n&f)|~((e|n)))&k)))
1
0
0
0
entailment
~((((h|h)|k)&(n|f)))
~(((f>k)&(f|f)))
1
1
1
0
entailment
(~(g)&(e&f))
~(((f>k)&(f|f)))
0
0
0
0
not entailment
~((((h|h)|k)&(n|f)))
~((g&(((n&f)|~((e|n)))&k)))
0
0
0
0
not entailment
~((~(k)>~((e>e))))
~(((n&f)&k))
1
1
0
0
entailment
((h>g)&g)
((k|((e|n)&((n&k)|h)))|g)
1
0
0
0
entailment
~((~(k)>~((e>e))))
((k|((e|n)&((n&k)|h)))|g)
0
0
0
0
not entailment
((h>g)&g)
~(((n&f)&k))
0
0
0
0
not entailment
(((h|e)&((n&n)&(e>(~(f)&(g|h)))))|n)
((h>(e&(~(((h>g)|f))>h)))|(n&(e|h)))
1
1
1
0
entailment
((f>k)&~(~(f)))
(((n>n)|~((n|f)))>k)
1
0
0
0
entailment
(((h|e)&((n&n)&(e>(~(f)&(g|h)))))|n)
(((n>n)|~((n|f)))>k)
0
1
0
0
not entailment
((f>k)&~(~(f)))
((h>(e&(~(((h>g)|f))>h)))|(n&(e|h)))
0
0
0
0
not entailment
~((((((n|k)|e)>(g|k))&g)>(k|h)))
(~(k)&g)
1
1
1
1
entailment
(((~(h)&((f>k)|f))>(n&(n&k)))&(n&g))
(~(((h|(e>n))>~(~((n>(f>~(e)))))))|n)
1
0
0
0
entailment
~((((((n|k)|e)>(g|k))&g)>(k|h)))
(~(((h|(e>n))>~(~((n>(f>~(e)))))))|n)
0
0
0
0
not entailment
(((~(h)&((f>k)|f))>(n&(n&k)))&(n&g))
(~(k)&g)
0
1
1
1
not entailment
((k>(e|(k>k)))>(e|~(g)))
(((~(e)>(e&f))|(~(g)|h))|~((g&n)))
1
0
0
0
entailment
~(((((((k&f)&n)&f)>(e&h))|g)&~(~(e))))
(~(((k|e)|~(g)))|(n|~(((e|n)&(k>k)))))
1
1
1
0
entailment
((k>(e|(k>k)))>(e|~(g)))
(~(((k|e)|~(g)))|(n|~(((e|n)&(k>k)))))
0
0
0
0
not entailment
~(((((((k&f)&n)&f)>(e&h))|g)&~(~(e))))
(((~(e)>(e&f))|(~(g)|h))|~((g&n)))
0
1
1
0
not entailment
(u&x)
(((b>b)&(i>u))>(u&(u>(o|x))))
1
0
0
0
entailment
~(((y>h)>(~((x|(u&h)))>(y|~(o)))))
~(x)
1
1
1
1
entailment
(u&x)
~(x)
0
1
1
0
not entailment
~(((y>h)>(~((x|(u&h)))>(y|~(o)))))
(((b>b)&(i>u))>(u&(u>(o|x))))
0
1
0
0
not entailment
((x&((r>y)&b))|j)
(((b>u)&~(x))>(((u>u)&o)>(y|j)))
1
0
0
0
entailment
(((~(o)|y)>u)&h)
(~(h)>u)
1
1
1
1
entailment
((x&((r>y)&b))|j)
(~(h)>u)
0
1
0
0
not entailment
(((~(o)|y)>u)&h)
(((b>u)&~(x))>(((u>u)&o)>(y|j)))
0
0
0
0
not entailment
(((i|i)|o)&~(h))
((b>r)>(h>(u|u)))
1
1
0
0
entailment
~(((o>x)>(y>x)))
(b>(~(o)&((b|(x>u))|((j&y)|(w|(u>j))))))
1
0
0
0
entailment
(((i|i)|o)&~(h))
(b>(~(o)&((b|(x>u))|((j&y)|(w|(u>j))))))
0
0
0
0
not entailment
~(((o>x)>(y>x)))
((b>r)>(h>(u|u)))
0
1
0
0
not entailment
(u&y)
((y>~(y))>~(~(u)))
1
0
1
1
entailment
~(((o&j)|(~((y|w))>(h>r))))
((x>(i&(o&h)))|(h&h))
1
1
0
0
entailment
(u&y)
((x>(i&(o&h)))|(h&h))
0
0
0
0
not entailment
~(((o&j)|(~((y|w))>(h>r))))
((y>~(y))>~(~(u)))
0
1
0
0
not entailment
~((u>~(u)))
~(~(((x&w)|(~(u)>w))))
1
0
0
0
entailment
(((b>i)&r)&j)
(((b|(o|w))>x)>((w>j)|(w>((w&r)&(u&j)))))
1
0
0
0
entailment
~((u>~(u)))
(((b|(o|w))>x)>((w>j)|(w>((w&r)&(u&j)))))
0
0
0
0
not entailment
(((b>i)&r)&j)
~(~(((x&w)|(~(u)>w))))
0
0
0
0
not entailment
(j|(j&y))
(j|y)
1
1
1
1
entailment
~(((i>h)>(~(h)>((x>u)&u))))
((j&~((u&j)))|((j>x)&((x>y)>~((r&u)))))
1
0
0
0
entailment
(j|(j&y))
((j&~((u&j)))|((j>x)&((x>y)>~((r&u)))))
0
0
0
0
not entailment
~(((i>h)>(~(h)>((x>u)&u))))
(j|y)
0
1
0
0
not entailment
~(((i&~(((j>((y|u)>h))|(x>u))))|(i|w)))
(w>r)
1
1
0
0
entailment
((j&(r>b))&(((w&b)&b)&(y&w)))
(~(~((((~(i)|x)>h)|(b&(w|j)))))|(x&y))
1
0
0
0
entailment
~(((i&~(((j>((y|u)>h))|(x>u))))|(i|w)))
(~(~((((~(i)|x)>h)|(b&(w|j)))))|(x&y))
0
1
0
0
not entailment
((j&(r>b))&(((w&b)&b)&(y&w)))
(w>r)
0
1
1
0
not entailment