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 |
|---|---|---|---|---|---|---|
(((j&j)&~(x))|j) | ~(~((j>((((c&j)>x)|x)&~(c))))) | 0 | 0 | 0 | 0 | not entailment |
(~(j)|((c>x)&c)) | (~(~(x))>((x>x)>(j>(j>c)))) | 1 | 0 | 1 | 0 | entailment |
~(c) | (~(~(x))>((x>x)>(j>(j>c)))) | 0 | 0 | 0 | 0 | not entailment |
(~(j)|((c>x)&c)) | (c>j) | 0 | 1 | 1 | 0 | not entailment |
(c&x) | ~(~((c>x))) | 1 | 0 | 1 | 0 | entailment |
((~(x)|(~((x>j))|(c|x)))&~(x)) | (x>~((~(~(((c>x)|j)))|((x|x)&x)))) | 1 | 0 | 1 | 1 | entailment |
(c&x) | (x>~((~(~(((c>x)|j)))|((x|x)&x)))) | 0 | 0 | 0 | 0 | not entailment |
((~(x)|(~((x>j))|(c|x)))&~(x)) | ~(~((c>x))) | 0 | 1 | 1 | 0 | not entailment |
((x|c)&(((x&(c&~(c)))>j)>x)) | ((~(c)|c)&((x&(x&j))|x)) | 1 | 1 | 1 | 0 | entailment |
~(((((j&(x>(j>j)))&(x>x))>~((x&j)))>x)) | ((j&(j&(x&x)))>c) | 1 | 1 | 0 | 0 | entailment |
((x|c)&(((x&(c&~(c)))>j)>x)) | ((j&(j&(x&x)))>c) | 0 | 1 | 1 | 0 | not entailment |
~(((((j&(x>(j>j)))&(x>x))>~((x&j)))>x)) | ((~(c)|c)&((x&(x&j))|x)) | 0 | 1 | 0 | 0 | not entailment |
(x&x) | (x&(~(((j|c)>(x>c)))>j)) | 1 | 0 | 0 | 0 | entailment |
((~(j)>(c|c))>(c|~(((j|j)>(j&j))))) | (~(c)>~(j)) | 1 | 1 | 1 | 1 | entailment |
(x&x) | (~(c)>~(j)) | 0 | 0 | 0 | 0 | not entailment |
((~(j)>(c|c))>(c|~(((j|j)>(j&j))))) | (x&(~(((j|c)>(x>c)))>j)) | 0 | 1 | 0 | 0 | not entailment |
(j|(j&x)) | ((c&x)|(j|x)) | 1 | 0 | 0 | 0 | entailment |
((c|(~(((j|j)&(j>(j>c))))|c))>c) | (j>c) | 1 | 1 | 1 | 1 | entailment |
(j|(j&x)) | (j>c) | 0 | 1 | 0 | 0 | not entailment |
((c|(~(((j|j)&(j>(j>c))))|c))>c) | ((c&x)|(j|x)) | 0 | 1 | 0 | 0 | not entailment |
((x&c)&(x|c)) | (~((x|((~(c)&c)&(x|x))))>c) | 1 | 0 | 1 | 0 | entailment |
(~((x>c))|(~(x)&~(j))) | ~((j&(~((((j&j)|x)&j))|(c&(j>j))))) | 1 | 0 | 1 | 0 | entailment |
((x&c)&(x|c)) | ~((j&(~((((j&j)|x)&j))|(c&(j>j))))) | 0 | 0 | 0 | 0 | not entailment |
(~((x>c))|(~(x)&~(j))) | (~((x|((~(c)&c)&(x|x))))>c) | 0 | 0 | 1 | 0 | not entailment |
~((x>~(((x>c)|c)))) | (~(~(~(x)))>(((j&x)|c)&~((j>~(c))))) | 1 | 0 | 0 | 0 | entailment |
~(((~((j>j))&j)|(j>x))) | ((((j|c)|((c|(c|j))|c))|~((x>c)))>j) | 1 | 0 | 0 | 0 | entailment |
~((x>~(((x>c)|c)))) | ((((j|c)|((c|(c|j))|c))|~((x>c)))>j) | 0 | 0 | 0 | 0 | not entailment |
~(((~((j>j))&j)|(j>x))) | (~(~(~(x)))>(((j&x)|c)&~((j>~(c))))) | 0 | 0 | 0 | 0 | not entailment |
(s&((((s>s)&s)&s)>(s&(s>(~(p)|p))))) | ((((p&p)|~(s))&~(s))>((s|p)&(s&(p&p)))) | 1 | 0 | 1 | 1 | entailment |
(((s&(s>s))|(s|p))>((s&p)|((p|p)&s))) | ~((s&~(((s|s)&p)))) | 1 | 1 | 1 | 1 | entailment |
(s&((((s>s)&s)&s)>(s&(s>(~(p)|p))))) | ~((s&~(((s|s)&p)))) | 0 | 1 | 1 | 1 | not entailment |
(((s&(s>s))|(s|p))>((s&p)|((p|p)&s))) | ((((p&p)|~(s))&~(s))>((s|p)&(s&(p&p)))) | 0 | 0 | 1 | 1 | not entailment |
~(((s>(s>s))&(s>~(s)))) | ((~((p&s))>s)&(((s&p)&~(p))|(s|s))) | 1 | 0 | 0 | 0 | entailment |
~((((s>s)|(p>((s&p)|(p|s))))>(p>s))) | (p|~(s)) | 1 | 1 | 1 | 1 | entailment |
~(((s>(s>s))&(s>~(s)))) | (p|~(s)) | 0 | 1 | 0 | 0 | not entailment |
~((((s>s)|(p>((s&p)|(p|s))))>(p>s))) | ((~((p&s))>s)&(((s&p)&~(p))|(s|s))) | 0 | 1 | 1 | 1 | not entailment |
(~((~((((s|p)|p)|(p>p)))>~(s)))|s) | ~((~(~(~((p|(s|p)))))&(p>(s&p)))) | 1 | 1 | 1 | 1 | entailment |
(~((p|(s&s)))&((s|~(p))&(p>s))) | ((s&(s|s))>~((s|s))) | 1 | 1 | 1 | 1 | entailment |
(~((~((((s|p)|p)|(p>p)))>~(s)))|s) | ((s&(s|s))>~((s|s))) | 0 | 1 | 1 | 1 | not entailment |
(~((p|(s&s)))&((s|~(p))&(p>s))) | ~((~(~(~((p|(s|p)))))&(p>(s&p)))) | 0 | 0 | 1 | 0 | not entailment |
(s&s) | ~(~((p>s))) | 1 | 0 | 0 | 0 | entailment |
~(((~(s)|s)>~(p))) | ((p|p)&((p&s)>((p&p)&(s>p)))) | 1 | 0 | 1 | 0 | entailment |
(s&s) | ((p|p)&((p&s)>((p&p)&(s>p)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(s)|s)>~(p))) | ~(~((p>s))) | 0 | 1 | 1 | 0 | not entailment |
((s|((((p|p)>p)&p)>s))&((s&s)|(s&s))) | (s&(p>((p>s)&p))) | 1 | 1 | 1 | 1 | entailment |
~((p>s)) | ~(~(p)) | 1 | 1 | 1 | 1 | entailment |
((s|((((p|p)>p)&p)>s))&((s&s)|(s&s))) | ~(~(p)) | 0 | 1 | 1 | 1 | not entailment |
~((p>s)) | (s&(p>((p>s)&p))) | 0 | 0 | 1 | 0 | not entailment |
~((p|p)) | ((p>s)|s) | 1 | 1 | 0 | 0 | entailment |
((p>p)&(p&(p&p))) | (~((p|s))|~(((s>s)>~(p)))) | 1 | 0 | 0 | 0 | entailment |
~((p|p)) | (~((p|s))|~(((s>s)>~(p)))) | 0 | 0 | 0 | 0 | not entailment |
((p>p)&(p&(p&p))) | ((p>s)|s) | 0 | 1 | 0 | 0 | not entailment |
(p>s) | ~(~((((p|p)&~(s))>s))) | 1 | 0 | 1 | 1 | entailment |
~((~(~((p>s)))|~(p))) | ((~(p)>(~(((s>(p>p))|p))>s))&(~(p)>p)) | 1 | 0 | 1 | 0 | entailment |
(p>s) | ((~(p)>(~(((s>(p>p))|p))>s))&(~(p)>p)) | 0 | 0 | 1 | 0 | not entailment |
~((~(~((p>s)))|~(p))) | ~(~((((p|p)&~(s))>s))) | 0 | 1 | 1 | 0 | not entailment |
(p&(s&s)) | ((p&s)|(s|s)) | 1 | 0 | 1 | 1 | entailment |
(p&~(((p>~(p))|(p>s)))) | ((~(s)|~(~((s>p))))>((p>p)>~(s))) | 1 | 0 | 1 | 0 | entailment |
(p&(s&s)) | ((~(s)|~(~((s>p))))>((p>p)>~(s))) | 0 | 0 | 1 | 0 | not entailment |
(p&~(((p>~(p))|(p>s)))) | ((p&s)|(s|s)) | 0 | 1 | 1 | 0 | not entailment |
((((((p|p)>s)|p)|(p|(p&p)))>(s>p))>s) | (~(~((s|((p|p)&~((s>p))))))|(p&p)) | 1 | 1 | 1 | 1 | entailment |
(((p|p)>(s>s))>(p>(~(p)|(~(s)&p)))) | (p>~(((s|p)>(s|(p>s))))) | 1 | 1 | 1 | 1 | entailment |
((((((p|p)>s)|p)|(p|(p&p)))>(s>p))>s) | (p>~(((s|p)>(s|(p>s))))) | 0 | 1 | 1 | 0 | not entailment |
(((p|p)>(s>s))>(p>(~(p)|(~(s)&p)))) | (~(~((s|((p|p)&~((s>p))))))|(p&p)) | 0 | 1 | 1 | 1 | not entailment |
(q&((q|((~(q)>(q&q))|q))>q)) | ((q|q)&~(~(q))) | 1 | 1 | 1 | 1 | entailment |
~(~(~(q))) | (~(q)&(q>(q|(q|q)))) | 1 | 0 | 1 | 0 | entailment |
(q&((q|((~(q)>(q&q))|q))>q)) | (~(q)&(q>(q|(q|q)))) | 0 | 1 | 1 | 1 | not entailment |
~(~(~(q))) | ((q|q)&~(~(q))) | 0 | 0 | 1 | 0 | not entailment |
((q&~((q>q)))|~(~((q&q)))) | (q&q) | 1 | 1 | 1 | 1 | entailment |
~(((~((q>q))>(q>~(q)))>((q>q)>q))) | ~(q) | 1 | 1 | 1 | 1 | entailment |
((q&~((q>q)))|~(~((q&q)))) | ~(q) | 0 | 1 | 1 | 1 | not entailment |
~(((~((q>q))>(q>~(q)))>((q>q)>q))) | (q&q) | 0 | 1 | 1 | 1 | not entailment |
(q&q) | ~(((q|(q>q))>~(q))) | 1 | 0 | 1 | 0 | entailment |
(q>~((~(~(q))>q))) | ~(((~((q|q))|q)>((q&~(~((q>q))))|q))) | 1 | 0 | 1 | 1 | entailment |
(q&q) | ~(((~((q|q))|q)>((q&~(~((q>q))))|q))) | 0 | 0 | 1 | 0 | not entailment |
(q>~((~(~(q))>q))) | ~(((q|(q>q))>~(q))) | 0 | 1 | 1 | 1 | not entailment |
(q|q) | ((~(((q>(q&q))|q))|q)|q) | 1 | 0 | 1 | 0 | entailment |
~(((q|q)|q)) | ~((q&q)) | 1 | 1 | 1 | 1 | entailment |
(q|q) | ~((q&q)) | 0 | 0 | 1 | 0 | not entailment |
~(((q|q)|q)) | ((~(((q>(q&q))|q))|q)|q) | 0 | 0 | 1 | 0 | not entailment |
(q|q) | (q&q) | 1 | 1 | 1 | 1 | entailment |
((q>q)>~(((q|q)&(q>(q|((q>q)|q)))))) | (((q&~((q&(q&q))))>((q&q)|q))>~((q|q))) | 1 | 0 | 1 | 1 | entailment |
(q|q) | (((q&~((q&(q&q))))>((q&q)|q))>~((q|q))) | 0 | 0 | 1 | 0 | not entailment |
((q>q)>~(((q|q)&(q>(q|((q>q)|q)))))) | (q&q) | 0 | 1 | 1 | 1 | not entailment |
((~(q)>q)|(~((q>q))&(q|(q|(q|(q>q)))))) | (q&q) | 1 | 1 | 1 | 1 | entailment |
~((~(q)>q)) | ~((q&q)) | 1 | 1 | 1 | 1 | entailment |
((~(q)>q)|(~((q>q))&(q|(q|(q|(q>q)))))) | ~((q&q)) | 0 | 1 | 1 | 1 | not entailment |
~((~(q)>q)) | (q&q) | 0 | 1 | 1 | 0 | not entailment |
(((q>q)&q)|((q>q)&(q|q))) | (q|q) | 1 | 1 | 1 | 1 | entailment |
~(q) | ~(q) | 1 | 1 | 1 | 1 | entailment |
(((q>q)&q)|((q>q)&(q|q))) | ~(q) | 0 | 1 | 1 | 1 | not entailment |
~(q) | (q|q) | 0 | 1 | 1 | 0 | not entailment |
((x&a)|~((f|a))) | ((~(a)>a)|(f>x)) | 1 | 1 | 1 | 1 | entailment |
(f&f) | (~(~((a>x)))>(~((f&f))>(x|a))) | 1 | 0 | 0 | 0 | entailment |
((x&a)|~((f|a))) | (~(~((a>x)))>(~((f&f))>(x|a))) | 0 | 0 | 1 | 0 | not entailment |
(f&f) | ((~(a)>a)|(f>x)) | 0 | 0 | 0 | 0 | not entailment |
~((~(a)|~((~((a|a))>(~(a)>(a&x)))))) | ~(~(a)) | 1 | 1 | 1 | 1 | entailment |
((f>(~(((a>(a>x))&x))&~(a)))&x) | ((x&x)&((f|f)>x)) | 1 | 1 | 1 | 1 | entailment |
~((~(a)|~((~((a|a))>(~(a)>(a&x)))))) | ((x&x)&((f|f)>x)) | 0 | 1 | 0 | 0 | not entailment |
((f>(~(((a>(a>x))&x))&~(a)))&x) | ~(~(a)) | 0 | 1 | 1 | 1 | not entailment |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.