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