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&~(~((c&~(v))))) | ((v&((r|o)&o))>(q&i)) | 1 | 1 | 0 | 0 | entailment |
(((o>o)&(v&x))&(r&q)) | ((x>g)>q) | 1 | 1 | 0 | 0 | entailment |
(i&~(~((c&~(v))))) | ((x>g)>q) | 0 | 1 | 0 | 0 | not entailment |
(((o>o)&(v&x))&(r&q)) | ((v&((r|o)&o))>(q&i)) | 0 | 1 | 0 | 0 | not entailment |
(((a&a)|((a>a)>a))|a) | ((a>(a&a))>((~((a&a))|a)>a)) | 1 | 0 | 1 | 1 | entailment |
~(a) | ~((a&(a>a))) | 1 | 0 | 1 | 0 | entailment |
(((a&a)|((a>a)>a))|a) | ~((a&(a>a))) | 0 | 1 | 1 | 1 | not entailment |
~(a) | ((a>(a&a))>((~((a&a))|a)>a)) | 0 | 0 | 1 | 0 | not entailment |
(~(~(~((a|a))))>(((a|a)|((a&a)|a))&a)) | ~(~(a)) | 1 | 1 | 1 | 1 | entailment |
(~(a)&(a>(a|~((a|~(a)))))) | ~((a|a)) | 1 | 1 | 1 | 1 | entailment |
(~(~(~((a|a))))>(((a|a)|((a&a)|a))&a)) | ~((a|a)) | 0 | 1 | 1 | 0 | not entailment |
(~(a)&(a>(a|~((a|~(a)))))) | ~(~(a)) | 0 | 1 | 1 | 1 | not entailment |
(a&a) | (a&a) | 1 | 1 | 1 | 1 | entailment |
(((a>a)&~((~(a)>a)))&~((~(a)&a))) | ~((~((a|~(a)))|a)) | 1 | 1 | 1 | 1 | entailment |
(a&a) | ~((~((a|~(a)))|a)) | 0 | 0 | 1 | 0 | not entailment |
(((a>a)&~((~(a)>a)))&~((~(a)&a))) | (a&a) | 0 | 1 | 1 | 1 | not entailment |
((x&y)&~(((h>~(e))|~(f)))) | (~(~(y))>(f|e)) | 1 | 1 | 1 | 0 | entailment |
(l&(l&~(h))) | (((x|x)&l)|(p>l)) | 1 | 0 | 0 | 0 | entailment |
((x&y)&~(((h>~(e))|~(f)))) | (((x|x)&l)|(p>l)) | 0 | 1 | 0 | 0 | not entailment |
(l&(l&~(h))) | (~(~(y))>(f|e)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((~(x)|e)&(((f&y)&x)|(s&x))))) | (((l&~(s))|~(e))>x) | 1 | 1 | 0 | 0 | entailment |
~(((l&h)>~((~(y)|s)))) | (f|h) | 1 | 1 | 0 | 0 | entailment |
~(~(((~(x)|e)&(((f&y)&x)|(s&x))))) | (f|h) | 0 | 1 | 0 | 0 | not entailment |
~(((l&h)>~((~(y)|s)))) | (((l&~(s))|~(e))>x) | 0 | 1 | 0 | 0 | not entailment |
((e&h)&(s&(s|y))) | ((y>((h|l)>s))>s) | 1 | 1 | 0 | 0 | entailment |
~((e|(p|y))) | ((~(f)&x)>((e|f)>~(l))) | 1 | 0 | 0 | 0 | entailment |
((e&h)&(s&(s|y))) | ((~(f)&x)>((e|f)>~(l))) | 0 | 0 | 0 | 0 | not entailment |
~((e|(p|y))) | ((y>((h|l)>s))>s) | 0 | 0 | 0 | 0 | not entailment |
~(~(((h>s)&~(f)))) | ((f&(h>x))>(y>x)) | 1 | 1 | 0 | 0 | entailment |
~((((l>(x&h))|e)|((s>s)>(e&e)))) | (x>l) | 1 | 1 | 1 | 1 | entailment |
~(~(((h>s)&~(f)))) | (x>l) | 0 | 1 | 0 | 0 | not entailment |
~((((l>(x&h))|e)|((s>s)>(e&e)))) | ((f&(h>x))>(y>x)) | 0 | 1 | 0 | 0 | not entailment |
(e&p) | (~((((s|y)>(y&(f>f)))&(h&(s&(s|h)))))>p) | 1 | 0 | 0 | 0 | entailment |
((x&y)&~(~((s>e)))) | (x|(s|y)) | 1 | 1 | 1 | 0 | entailment |
(e&p) | (x|(s|y)) | 0 | 0 | 0 | 0 | not entailment |
((x&y)&~(~((s>e)))) | (~((((s|y)>(y&(f>f)))&(h&(s&(s|h)))))>p) | 0 | 0 | 0 | 0 | not entailment |
((~(p)>p)|(~(~(p))&y)) | (p|((f|(((s>e)&(h>l))>h))>l)) | 1 | 0 | 0 | 0 | entailment |
(~(f)|((h>l)&~(p))) | ((~(~(p))&f)>(e>~(((e&(p&f))|s)))) | 1 | 0 | 0 | 0 | entailment |
((~(p)>p)|(~(~(p))&y)) | ((~(~(p))&f)>(e>~(((e&(p&f))|s)))) | 0 | 0 | 0 | 0 | not entailment |
(~(f)|((h>l)&~(p))) | (p|((f|(((s>e)&(h>l))>h))>l)) | 0 | 0 | 0 | 0 | not entailment |
(~((p>e))&(h&((h>l)&(p|~(~(e)))))) | (~(~(p))|(x&y)) | 1 | 1 | 0 | 0 | entailment |
((e|(f>f))>y) | ~((~((h>(e|(h&((y|f)|e)))))&~(s))) | 1 | 0 | 0 | 0 | entailment |
(~((p>e))&(h&((h>l)&(p|~(~(e)))))) | ~((~((h>(e|(h&((y|f)|e)))))&~(s))) | 0 | 1 | 0 | 0 | not entailment |
((e|(f>f))>y) | (~(~(p))|(x&y)) | 0 | 0 | 0 | 0 | not entailment |
(l&(f|y)) | ((~((l>(e>~(l))))|l)|(f|(y&h))) | 1 | 0 | 0 | 0 | entailment |
(p&y) | (p&(f>p)) | 1 | 0 | 0 | 0 | entailment |
(l&(f|y)) | (p&(f>p)) | 0 | 1 | 0 | 0 | not entailment |
(p&y) | ((~((l>(e>~(l))))|l)|(f|(y&h))) | 0 | 0 | 0 | 0 | not entailment |
(h&(((f>x)>x)&(~(~(x))>e))) | (~(((((s>h)>l)|p)>(h|f)))>((e>(s|s))&p)) | 1 | 0 | 0 | 0 | entailment |
((~(s)>((p>y)|(l|e)))>s) | ((p|l)|(s|(~(f)&(~(f)|((h&x)|(l|f)))))) | 1 | 0 | 0 | 0 | entailment |
(h&(((f>x)>x)&(~(~(x))>e))) | ((p|l)|(s|(~(f)&(~(f)|((h&x)|(l|f)))))) | 0 | 0 | 0 | 0 | not entailment |
((~(s)>((p>y)|(l|e)))>s) | (~(((((s>h)>l)|p)>(h|f)))>((e>(s|s))&p)) | 0 | 0 | 0 | 0 | not entailment |
((l&(p&h))&(~((((l|(e&s))|e)&p))>y)) | (((~((e|(e&h)))|p)>l)|(f|h)) | 1 | 1 | 0 | 0 | entailment |
((e>e)>~(f)) | ((((f&(h>y))|x)>x)|~(s)) | 1 | 0 | 0 | 0 | entailment |
((l&(p&h))&(~((((l|(e&s))|e)&p))>y)) | ((((f&(h>y))|x)>x)|~(s)) | 0 | 1 | 0 | 0 | not entailment |
((e>e)>~(f)) | (((~((e|(e&h)))|p)>l)|(f|h)) | 0 | 0 | 0 | 0 | not entailment |
(p&((~((l&p))>~(~((e&s))))&~((x&s)))) | (~((s|(l&l)))|(~((p|p))>y)) | 1 | 1 | 0 | 0 | entailment |
~(((e&f)>((x>l)&(h|l)))) | ((f>y)>((h|f)|x)) | 1 | 1 | 0 | 0 | entailment |
(p&((~((l&p))>~(~((e&s))))&~((x&s)))) | ((f>y)>((h|f)|x)) | 0 | 1 | 0 | 0 | not entailment |
~(((e&f)>((x>l)&(h|l)))) | (~((s|(l&l)))|(~((p|p))>y)) | 0 | 0 | 0 | 0 | not entailment |
(y&~(~(l))) | (l|(f&h)) | 1 | 1 | 0 | 0 | entailment |
(e&x) | (x|(x|e)) | 1 | 0 | 1 | 1 | entailment |
(y&~(~(l))) | (x|(x|e)) | 0 | 1 | 0 | 0 | not entailment |
(e&x) | (l|(f&h)) | 0 | 0 | 0 | 0 | not entailment |
(h&(e&l)) | (l|y) | 1 | 1 | 0 | 0 | entailment |
(p&x) | (s>(~(f)>~(~(p)))) | 1 | 0 | 0 | 0 | entailment |
(h&(e&l)) | (s>(~(f)>~(~(p)))) | 0 | 0 | 0 | 0 | not entailment |
(p&x) | (l|y) | 0 | 1 | 0 | 0 | not entailment |
(h&s) | (e|(~(e)>((h|x)|(f&f)))) | 1 | 0 | 0 | 0 | entailment |
~((((f>s)>~((l&(p&~(h)))))|h)) | ((p|y)|f) | 1 | 1 | 0 | 0 | entailment |
(h&s) | ((p|y)|f) | 0 | 0 | 0 | 0 | not entailment |
~((((f>s)>~((l&(p&~(h)))))|h)) | (e|(~(e)>((h|x)|(f&f)))) | 0 | 1 | 0 | 0 | not entailment |
(((l>h)&x)&((~((s|f))>(x>h))>x)) | ((l|h)>((((h|l)|f)|y)&(~(e)|(h|y)))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((e>s)))|(h&(s>f)))) | (((h>e)&((x>l)|~((e>(s&f)))))|~(e)) | 1 | 0 | 0 | 0 | entailment |
(((l>h)&x)&((~((s|f))>(x>h))>x)) | (((h>e)&((x>l)|~((e>(s&f)))))|~(e)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((e>s)))|(h&(s>f)))) | ((l|h)>((((h|l)|f)|y)&(~(e)|(h|y)))) | 0 | 0 | 0 | 0 | not entailment |
(((v&r)&r)&(n>s)) | (~((s>~(~((n|r)))))>(~(v)>r)) | 1 | 0 | 1 | 0 | entailment |
(~(r)|(s&~(s))) | (r>n) | 1 | 1 | 0 | 0 | entailment |
(((v&r)&r)&(n>s)) | (r>n) | 0 | 1 | 1 | 0 | not entailment |
(~(r)|(s&~(s))) | (~((s>~(~((n|r)))))>(~(v)>r)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(r)>n))|~(((v>n)|~(((n|v)>v))))) | (~((r&(s&v)))>((r>~(s))|u)) | 1 | 1 | 0 | 0 | entailment |
~(v) | (s>((s>v)>(r|r))) | 1 | 0 | 0 | 0 | entailment |
(~((~(r)>n))|~(((v>n)|~(((n|v)>v))))) | (s>((s>v)>(r|r))) | 0 | 1 | 0 | 0 | not entailment |
~(v) | (~((r&(s&v)))>((r>~(s))|u)) | 0 | 0 | 0 | 0 | not entailment |
(n&v) | (~(n)>~(((((n|n)|(u|~(n)))>s)>s))) | 1 | 0 | 0 | 0 | entailment |
~(((r&u)>n)) | ((r|~(n))>((s&s)|~((s|n)))) | 1 | 0 | 0 | 0 | entailment |
(n&v) | ((r|~(n))>((s&s)|~((s|n)))) | 0 | 0 | 0 | 0 | not entailment |
~(((r&u)>n)) | (~(n)>~(((((n|n)|(u|~(n)))>s)>s))) | 0 | 0 | 0 | 0 | not entailment |
~(((n>(~(s)&(n&n)))>(~(~(v))>n))) | (r|v) | 1 | 1 | 0 | 0 | entailment |
~((s|n)) | ~((~((n|r))&(s&s))) | 1 | 0 | 0 | 0 | entailment |
~(((n>(~(s)&(n&n)))>(~(~(v))>n))) | ~((~((n|r))&(s&s))) | 0 | 1 | 0 | 0 | not entailment |
~((s|n)) | (r|v) | 0 | 1 | 0 | 0 | not entailment |
((~(v)>(v&u))&~(s)) | ((((~(u)&(r>u))>v)>r)|(v|v)) | 1 | 0 | 0 | 0 | entailment |
(((s&(s&(s|((n>n)|v))))>n)>~(~(u))) | ((n>(u|u))|r) | 1 | 1 | 0 | 0 | entailment |
((~(v)>(v&u))&~(s)) | ((n>(u|u))|r) | 0 | 1 | 0 | 0 | not entailment |
(((s&(s&(s|((n>n)|v))))>n)>~(~(u))) | ((((~(u)&(r>u))>v)>r)|(v|v)) | 0 | 1 | 0 | 0 | not entailment |
((s>~(n))&r) | ((u|v)>r) | 1 | 1 | 0 | 0 | entailment |
(u&n) | (~(~(((v|~(s))>n)))|((n&u)|(s&s))) | 1 | 0 | 0 | 0 | entailment |
((s>~(n))&r) | (~(~(((v|~(s))>n)))|((n&u)|(s&s))) | 0 | 0 | 0 | 0 | not entailment |
(u&n) | ((u|v)>r) | 0 | 0 | 0 | 0 | not entailment |