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
~(~(i))
((f|i)&(s|f))
0
0
0
0
not entailment
(~(i)>i)
(~((j>i))|(i&(f>((h&j)|f))))
1
0
0
0
entailment
((f>j)>((f&f)&f))
(f|~((f>(j>s))))
1
1
0
0
entailment
(~(i)>i)
(f|~((f>(j>s))))
0
0
0
0
not entailment
((f>j)>((f&f)&f))
(~((j>i))|(i&(f>((h&j)|f))))
0
0
0
0
not entailment
~((~((~((f&s))>j))|(~(((h&i)&j))&f)))
((j|f)|s)
1
1
1
1
entailment
(i&h)
((((i&h)|(h&j))|s)&h)
1
0
0
0
entailment
~((~((~((f&s))>j))|(~(((h&i)&j))&f)))
((((i&h)|(h&j))|s)&h)
0
1
1
1
not entailment
(i&h)
((j|f)|s)
0
0
0
0
not entailment
~((h>((f&s)>~(j))))
(((j&j)&h)&s)
1
1
1
1
entailment
~(((s|(j&i))>(h|s)))
((~((h&i))|(s&(f|f)))&~((s|~(i))))
1
0
0
0
entailment
~((h>((f&s)>~(j))))
((~((h&i))|(s&(f|f)))&~((s|~(i))))
0
0
0
0
not entailment
~(((s|(j&i))>(h|s)))
(((j&j)&h)&s)
0
1
1
0
not entailment
((~(~(i))&i)|i)
((f>((i&((i&(j>j))|j))&s))>i)
1
0
0
0
entailment
((h&s)&~((((h&s)&i)&s)))
((h|(h|(i>(f&(j>s)))))>h)
1
1
0
0
entailment
((~(~(i))&i)|i)
((h|(h|(i>(f&(j>s)))))>h)
0
0
0
0
not entailment
((h&s)&~((((h&s)&i)&s)))
((f>((i&((i&(j>j))|j))&s))>i)
0
0
0
0
not entailment
(~((((h&j)>h)>~(j)))&f)
(j|h)
1
1
1
1
entailment
(~((f&((f|(~(i)&h))|s)))&((i|f)>f))
(~(i)|~(f))
1
1
1
1
entailment
(~((((h&j)>h)>~(j)))&f)
(~(i)|~(f))
0
1
0
0
not entailment
(~((f&((f|(~(i)&h))|s)))&((i|f)>f))
(j|h)
0
1
0
0
not entailment
(i&f)
((((i|(i|f))>h)&~((h>j)))>f)
1
0
0
0
entailment
~((h>(f|(i|f))))
((h&i)>(s|~((s>i))))
1
0
0
0
entailment
(i&f)
((h&i)>(s|~((s>i))))
0
0
0
0
not entailment
~((h>(f|(i|f))))
((((i|(i|f))>h)&~((h>j)))>f)
0
0
0
0
not entailment
(s&~((h|(i&(f|i)))))
(j|(~(~((h&(s>i))))>((h>~(f))&i)))
1
0
0
0
entailment
~((((h&i)&(i>s))>(~(j)&j)))
((i|~(~(((i>j)>j))))|(f|~((~(j)>s))))
1
0
0
0
entailment
(s&~((h|(i&(f|i)))))
((i|~(~(((i>j)>j))))|(f|~((~(j)>s))))
0
0
0
0
not entailment
~((((h&i)&(i>s))>(~(j)&j)))
(j|(~(~((h&(s>i))))>((h>~(f))&i)))
0
0
0
0
not entailment
(((s>~(i))|i)&(h&i))
((~(i)&((s>f)|j))>s)
1
1
0
0
entailment
~(h)
(((h&f)|h)>(~(((f>j)>j))>(s>f)))
1
0
0
0
entailment
(((s>~(i))|i)&(h&i))
(((h&f)|h)>(~(((f>j)>j))>(s>f)))
0
0
0
0
not entailment
~(h)
((~(i)&((s>f)|j))>s)
0
0
0
0
not entailment
((h|(f>j))&((s>s)&(s&j)))
(h>s)
1
1
1
0
entailment
((i>(h>f))>h)
(~(i)|(~(f)>(f|h)))
1
0
1
0
entailment
((h|(f>j))&((s>s)&(s&j)))
(~(i)|(~(f)>(f|h)))
0
1
0
0
not entailment
((i>(h>f))>h)
(h>s)
0
1
0
0
not entailment
(((h&(((h>j)|i)&f))|f)&(s&f))
((f&((f|s)>(h>(f|i))))|~((j|(~(f)&s))))
1
0
1
0
entailment
~(((j>f)>(i>f)))
~(((((i|f)>f)>~((i>~(i))))>f))
1
0
1
1
entailment
(((h&(((h>j)|i)&f))|f)&(s&f))
~(((((i|f)>f)>~((i>~(i))))>f))
0
0
1
0
not entailment
~(((j>f)>(i>f)))
((f&((f|s)>(h>(f|i))))|~((j|(~(f)&s))))
0
0
0
0
not entailment
~(j)
~((j&i))
1
0
0
0
entailment
~((j>~(j)))
((j|(i|f))|(~((f>f))&(h>s)))
1
0
0
0
entailment
~(j)
((j|(i|f))|(~((f>f))&(h>s)))
0
0
0
0
not entailment
~((j>~(j)))
~((j&i))
0
1
0
0
not entailment
((j&h)&((h|s)&((j|j)&i)))
~((~(((i|j)|i))&~(~((i>(~(h)&f))))))
1
0
0
0
entailment
~((~(((j>j)&f))&((h|((f|j)|s))&s)))
(~((((s&j)&h)&j))|(((s&j)|i)&f))
1
1
0
0
entailment
((j&h)&((h|s)&((j|j)&i)))
(~((((s&j)&h)&j))|(((s&j)|i)&f))
0
0
0
0
not entailment
~((~(((j>j)&f))&((h|((f|j)|s))&s)))
~((~(((i|j)|i))&~(~((i>(~(h)&f))))))
0
0
0
0
not entailment
(~((i>(i&d)))&(z>e))
~(d)
1
1
1
1
entailment
~(((x|(n&i))>v))
(i>((v>j)|(e|n)))
1
1
0
0
entailment
(~((i>(i&d)))&(z>e))
(i>((v>j)|(e|n)))
0
1
0
0
not entailment
~(((x|(n&i))>v))
~(d)
0
1
0
0
not entailment
(~(~((e&f)))&((~((e>x))|x)>(z|f)))
(~((~((j>e))|((f|~(e))&v)))|(v&f))
1
1
0
0
entailment
((f&d)&g)
(~((v&f))>((g&g)|((n|((n|v)|j))>d)))
1
0
0
0
entailment
(~(~((e&f)))&((~((e>x))|x)>(z|f)))
(~((v&f))>((g&g)|((n|((n|v)|j))>d)))
0
1
0
0
not entailment
((f&d)&g)
(~((~((j>e))|((f|~(e))&v)))|(v&f))
0
0
0
0
not entailment
~(z)
((v&v)>~((z&(i&n))))
1
0
0
0
entailment
~(~(d))
(((((d|(((i&f)&d)&f))|i)|(g&f))|(x>f))|j)
1
0
0
0
entailment
~(z)
(((((d|(((i&f)&d)&f))|i)|(g&f))|(x>f))|j)
0
0
0
0
not entailment
~(~(d))
((v&v)>~((z&(i&n))))
0
0
0
0
not entailment
(((f&f)&d)|(e&f))
((z&(~(e)&j))>((i>d)|~(x)))
1
0
0
0
entailment
(x&(f|(x|j)))
(~(x)>(z>((e&d)|(~(i)>(v&z)))))
1
0
0
0
entailment
(((f&f)&d)|(e&f))
(~(x)>(z>((e&d)|(~(i)>(v&z)))))
0
0
0
0
not entailment
(x&(f|(x|j)))
((z&(~(e)&j))>((i>d)|~(x)))
0
0
0
0
not entailment
((i&(f&((d&z)>~(g))))&z)
~(~(f))
1
1
1
1
entailment
~((((x|(x|(v|g)))>(~(z)&~(f)))>(e>g)))
(~((d>(z|~((f>j)))))|(j|(e|g)))
1
1
0
0
entailment
((i&(f&((d&z)>~(g))))&z)
(~((d>(z|~((f>j)))))|(j|(e|g)))
0
0
0
0
not entailment
~((((x|(x|(v|g)))>(~(z)&~(f)))>(e>g)))
~(~(f))
0
1
1
0
not entailment
~((j|(i&f)))
(((n&d)|(i>(f>v)))|v)
1
0
0
0
entailment
(((z>d)&g)&e)
(g|e)
1
1
1
1
entailment
~((j|(i&f)))
(g|e)
0
1
0
0
not entailment
(((z>d)&g)&e)
(((n&d)|(i>(f>v)))|v)
0
0
0
0
not entailment
~((~(((x&(j&x))>(i&(x>d))))>((g>f)&j)))
((d>v)>~(~(j)))
1
1
0
0
entailment
~((~(~((~(d)|(v>f))))|(i>n)))
~((((((n>(d>j))|~(~(d)))&(n>x))>e)&n))
1
0
0
0
entailment
~((~(((x&(j&x))>(i&(x>d))))>((g>f)&j)))
~((((((n>(d>j))|~(~(d)))&(n>x))>e)&n))
0
1
0
0
not entailment
~((~(~((~(d)|(v>f))))|(i>n)))
((d>v)>~(~(j)))
0
1
0
0
not entailment
(d&x)
(d|(((e|e)|(n|g))|g))
1
0
0
0
entailment
~(((f>~((d&~((z>f)))))&~(~(z))))
~(~((~(~((z&j)))|(z>g))))
1
1
0
0
entailment
(d&x)
~(~((~(~((z&j)))|(z>g))))
0
0
0
0
not entailment
~(((f>~((d&~((z>f)))))&~(~(z))))
(d|(((e|e)|(n|g))|g))
0
1
0
0
not entailment
(((i|d)&f)&(j&v))
(v>(~(((j|n)>((x|i)&v)))>j))
1
0
0
0
entailment
(g&(~((i&g))|~((e>z))))
((g|d)>((e&j)|((v|i)>g)))
1
1
0
0
entailment
(((i|d)&f)&(j&v))
((g|d)>((e&j)|((v|i)>g)))
0
0
0
0
not entailment
(g&(~((i&g))|~((e>z))))
(v>(~(((j|n)>((x|i)&v)))>j))
0
0
0
0
not entailment
(e&v)
((i>v)>((e|(z|~(f)))|~((j>e))))
1
0
0
0
entailment
((i>i)&((d>d)>n))
((~(e)|(x|(e&i)))|n)
1
0
0
0
entailment
(e&v)
((~(e)|(x|(e&i)))|n)
0
0
0
0
not entailment
((i>i)&((d>d)>n))
((i>v)>((e|(z|~(f)))|~((j>e))))
0
0
0
0
not entailment
(((n|v)>~(d))>((~(g)&(z&e))|e))
((((e|z)&g)>~(((n&n)|(z>j))))>(d|e))
1
0
0
0
entailment
(g&(((x&f)&(d>j))&~(~(((x&j)&v)))))
(f>((((n|(v&(n>n)))|~(x))&j)|(x&j)))
1
1
0
0
entailment
(((n|v)>~(d))>((~(g)&(z&e))|e))
(f>((((n|(v&(n>n)))|~(x))&j)|(x&j)))
0
0
0
0
not entailment
(g&(((x&f)&(d>j))&~(~(((x&j)&v)))))
((((e|z)&g)>~(((n&n)|(z>j))))>(d|e))
0
1
0
0
not entailment
((n|(((v>(x&f))|n)&x))&(~(f)>d))
((((n>x)&~(n))&e)>x)
1
1
0
0
entailment
~((x|((v&(((i|f)|n)&j))|v)))
((j>((g&d)|n))>~((x&v)))
1
1
0
0
entailment
((n|(((v>(x&f))|n)&x))&(~(f)>d))
((j>((g&d)|n))>~((x&v)))
0
1
0
0
not entailment
~((x|((v&(((i|f)|n)&j))|v)))
((((n>x)&~(n))&e)>x)
0
1
0
0
not entailment
((((i|v)>n)|g)&n)
((n|d)|i)
1
1
0
0
entailment
~(((d|f)|~(x)))
((~(i)&(n>j))>(x|g))
1
0
0
0
entailment
((((i|v)>n)|g)&n)
((~(i)&(n>j))>(x|g))
0
0
0
0
not entailment