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 |
|---|---|---|---|---|---|---|
(~((c>(~(c)&(c|c))))&c) | (((h>(h>h))|(c&c))>((c&(h|c))&(h|c))) | 1 | 0 | 0 | 0 | entailment |
((h|h)|~(((h>(~(c)>h))>c))) | (~(~(h))|~(((h>c)>(h|c)))) | 1 | 1 | 1 | 1 | entailment |
(~((c>(~(c)&(c|c))))&c) | (~(~(h))|~(((h>c)>(h|c)))) | 0 | 0 | 0 | 0 | not entailment |
((h|h)|~(((h>(~(c)>h))>c))) | (((h>(h>h))|(c&c))>((c&(h|c))&(h|c))) | 0 | 0 | 1 | 1 | not entailment |
(~(c)>~((h>h))) | (h>c) | 1 | 1 | 1 | 1 | entailment |
~(c) | ((c>h)|(h|h)) | 1 | 0 | 0 | 0 | entailment |
(~(c)>~((h>h))) | ((c>h)|(h|h)) | 0 | 1 | 1 | 0 | not entailment |
(h|h) | (h|h) | 1 | 1 | 1 | 1 | entailment |
(~(((~(c)>c)&h))>c) | (h>(c|~(h))) | 1 | 1 | 1 | 0 | entailment |
(h|h) | (h>(c|~(h))) | 0 | 0 | 0 | 0 | not entailment |
(~(((~(c)>c)&h))>c) | (h|h) | 0 | 1 | 1 | 1 | not entailment |
~((~(~((c|~(c))))&(~((h>c))>c))) | ((c|h)&(~(~(c))>c)) | 1 | 1 | 1 | 1 | entailment |
((~(((c&c)|h))|((h&h)&(c|c)))|(h>c)) | (h>c) | 1 | 1 | 1 | 1 | entailment |
~((~(~((c|~(c))))&(~((h>c))>c))) | (h>c) | 0 | 1 | 1 | 0 | not entailment |
((~(((c&c)|h))|((h&h)&(c|c)))|(h>c)) | ((c|h)&(~(~(c))>c)) | 0 | 1 | 1 | 1 | not entailment |
~(~(((c|h)&~(h)))) | (((c&c)&c)|c) | 1 | 1 | 1 | 1 | entailment |
(h|((c&(h&c))&(c|h))) | (((h|c)|c)&h) | 1 | 1 | 1 | 1 | entailment |
~(~(((c|h)&~(h)))) | (((h|c)|c)&h) | 0 | 1 | 1 | 1 | not entailment |
(h|((c&(h&c))&(c|h))) | (((c&c)&c)|c) | 0 | 1 | 1 | 1 | not entailment |
(((c|h)|(c|h))&~(~(c))) | ((((c>((c>h)|h))&c)>(c|h))&(c|c)) | 1 | 0 | 1 | 0 | entailment |
(h|(h&(c|h))) | (~((c&c))|(h|~(((((h&h)>h)&h)>(c>h))))) | 1 | 0 | 1 | 0 | entailment |
(((c|h)|(c|h))&~(~(c))) | (~((c&c))|(h|~(((((h&h)>h)&h)>(c>h))))) | 0 | 0 | 1 | 0 | not entailment |
(h|(h&(c|h))) | ((((c>((c>h)|h))&c)>(c|h))&(c|c)) | 0 | 0 | 1 | 0 | not entailment |
(c&(~((c&(h&((c>c)|h))))|c)) | ((h>h)&c) | 1 | 1 | 1 | 0 | entailment |
~((~(c)>((c>(h>~((c|h))))&(c|h)))) | ((~(c)>c)>(~(h)&~(c))) | 1 | 1 | 1 | 1 | entailment |
(c&(~((c&(h&((c>c)|h))))|c)) | ((~(c)>c)>(~(h)&~(c))) | 0 | 1 | 1 | 1 | not entailment |
~((~(c)>((c>(h>~((c|h))))&(c|h)))) | ((h>h)&c) | 0 | 1 | 1 | 1 | not entailment |
(h&c) | ((((c|c)>(c>h))&h)|~(c)) | 1 | 0 | 1 | 0 | entailment |
~(((c>h)|((h>c)>h))) | ((c&c)>~((c>h))) | 1 | 1 | 1 | 0 | entailment |
(h&c) | ((c&c)>~((c>h))) | 0 | 0 | 1 | 0 | not entailment |
~(((c>h)|((h>c)>h))) | ((((c|c)>(c>h))&h)|~(c)) | 0 | 0 | 1 | 0 | not entailment |
(~(~((h>c)))&c) | ~(~(c)) | 1 | 1 | 1 | 1 | entailment |
(c>~((~(~((c&(h&h))))&(c&(h>h))))) | ((c&h)>~((h&(h>h)))) | 1 | 1 | 1 | 1 | entailment |
(~(~((h>c)))&c) | ((c&h)>~((h&(h>h)))) | 0 | 0 | 1 | 0 | not entailment |
(c>~((~(~((c&(h&h))))&(c&(h>h))))) | ~(~(c)) | 0 | 1 | 1 | 0 | not entailment |
(h&c) | ((h&(c>c))&(((c>c)&(~(c)>h))|(c&(h>h)))) | 1 | 0 | 1 | 0 | entailment |
~((h|(h&c))) | (((~(h)&(~(h)>h))&(h>c))|~((c&h))) | 1 | 0 | 1 | 0 | entailment |
(h&c) | (((~(h)&(~(h)>h))&(h>c))|~((c&h))) | 0 | 0 | 1 | 0 | not entailment |
~((h|(h&c))) | ((h&(c>c))&(((c>c)&(~(c)>h))|(c&(h>h)))) | 0 | 0 | 1 | 0 | not entailment |
(((c&h)>~(h))>~((h&h))) | (((c|h)|(h|h))>c) | 1 | 1 | 1 | 0 | entailment |
(((~(~(c))&~(c))&~(h))|(h|c)) | (~(~(c))|((~(h)>h)&(~(h)|h))) | 1 | 1 | 1 | 1 | entailment |
(((c&h)>~(h))>~((h&h))) | (~(~(c))|((~(h)>h)&(~(h)|h))) | 0 | 0 | 1 | 1 | not entailment |
(((~(~(c))&~(c))&~(h))|(h|c)) | (((c|h)|(h|h))>c) | 0 | 1 | 1 | 1 | not entailment |
(c&(h>(c&c))) | ((c|h)&(c&(h|(c|h)))) | 1 | 0 | 1 | 0 | entailment |
((h>h)&((~(h)|h)&~((c&(~(h)|h))))) | ~(((~((~((c|h))|h))|(c|c))&(c&c))) | 1 | 1 | 1 | 1 | entailment |
(c&(h>(c&c))) | ~(((~((~((c|h))|h))|(c|c))&(c&c))) | 0 | 0 | 1 | 0 | not entailment |
((h>h)&((~(h)|h)&~((c&(~(h)|h))))) | ((c|h)&(c&(h|(c|h)))) | 0 | 1 | 1 | 0 | not entailment |
(h>c) | (~((~(c)>c))>(h>(c|c))) | 1 | 0 | 1 | 1 | entailment |
((c|(~(c)|(h|h)))>(h&h)) | ((h&h)|h) | 1 | 1 | 1 | 1 | entailment |
(h>c) | ((h&h)|h) | 0 | 0 | 1 | 0 | not entailment |
((c|(~(c)|(h|h)))>(h&h)) | (~((~(c)>c))>(h>(c|c))) | 0 | 1 | 1 | 1 | not entailment |
~(~(~(g))) | (g>((o>((q>b)>i))>(v>e))) | 1 | 0 | 0 | 0 | entailment |
(~(q)&((~(j)>~(v))>i)) | ((q>((j&e)&i))|((j&s)>~(j))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(g))) | ((q>((j&e)&i))|((j&s)>~(j))) | 0 | 0 | 0 | 0 | not entailment |
(~(q)&((~(j)>~(v))>i)) | (g>((o>((q>b)>i))>(v>e))) | 0 | 1 | 0 | 0 | not entailment |
((j&e)&(g&v)) | (e&(o>g)) | 1 | 1 | 0 | 0 | entailment |
(~(~((j|(b&(j>g)))))&~((j|q))) | (q>~(~(((v&j)>((q&i)&v))))) | 1 | 1 | 0 | 0 | entailment |
((j&e)&(g&v)) | (q>~(~(((v&j)>((q&i)&v))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((j|(b&(j>g)))))&~((j|q))) | (e&(o>g)) | 0 | 1 | 0 | 0 | not entailment |
(((o|j)&(j&j))&e) | (e|o) | 1 | 1 | 1 | 1 | entailment |
~(((s|o)|s)) | (~(s)&(o>j)) | 1 | 1 | 0 | 0 | entailment |
(((o|j)&(j&j))&e) | (~(s)&(o>j)) | 0 | 1 | 0 | 0 | not entailment |
~(((s|o)|s)) | (e|o) | 0 | 1 | 0 | 0 | not entailment |
(i&o) | ((~(o)&(j&o))|~(~((((b|v)>o)|(q>i))))) | 1 | 0 | 0 | 0 | entailment |
(g&(b&v)) | (~((j|g))>(o>~((((e|s)&q)&b)))) | 1 | 0 | 0 | 0 | entailment |
(i&o) | (~((j|g))>(o>~((((e|s)&q)&b)))) | 0 | 0 | 0 | 0 | not entailment |
(g&(b&v)) | ((~(o)&(j&o))|~(~((((b|v)>o)|(q>i))))) | 0 | 0 | 0 | 0 | not entailment |
((~((((v|b)|g)&(b&b)))&s)&((e|e)&g)) | ((((g&i)|v)>o)|(s>~(b))) | 1 | 1 | 0 | 0 | entailment |
(((((o>q)|b)|(o&v))>(v>(g|o)))>~(o)) | ~(((j&q)&((s>~((o>(~(g)|b))))&s))) | 1 | 1 | 0 | 0 | entailment |
((~((((v|b)|g)&(b&b)))&s)&((e|e)&g)) | ~(((j&q)&((s>~((o>(~(g)|b))))&s))) | 0 | 1 | 0 | 0 | not entailment |
(((((o>q)|b)|(o&v))>(v>(g|o)))>~(o)) | ((((g&i)|v)>o)|(s>~(b))) | 0 | 1 | 0 | 0 | not entailment |
(s&~(b)) | ((((q|s)>o)>b)|s) | 1 | 0 | 0 | 0 | entailment |
(~((s|j))&q) | (((q&~(s))&q)|~((q>e))) | 1 | 0 | 0 | 0 | entailment |
(s&~(b)) | (((q&~(s))&q)|~((q>e))) | 0 | 0 | 0 | 0 | not entailment |
(~((s|j))&q) | ((((q|s)>o)>b)|s) | 0 | 0 | 0 | 0 | not entailment |
~(((q&(o&s))>e)) | ~(~(~((e&o)))) | 1 | 1 | 1 | 0 | entailment |
((g>i)&g) | (q>(i|b)) | 1 | 1 | 0 | 0 | entailment |
~(((q&(o&s))>e)) | (q>(i|b)) | 0 | 1 | 0 | 0 | not entailment |
((g>i)&g) | ~(~(~((e&o)))) | 0 | 0 | 0 | 0 | not entailment |
~((s>((v&(v&((v&g)>o)))|(e|v)))) | (e>(g|~(~(j)))) | 1 | 1 | 0 | 0 | entailment |
(q|e) | (o|(q|(~(((j>v)|e))>q))) | 1 | 0 | 0 | 0 | entailment |
~((s>((v&(v&((v&g)>o)))|(e|v)))) | (o|(q|(~(((j>v)|e))>q))) | 0 | 1 | 0 | 0 | not entailment |
(q|e) | (e>(g|~(~(j)))) | 0 | 0 | 0 | 0 | not entailment |
(((j&v)&(e|(((s|e)>e)|s)))&i) | (q|(~((q>s))|(i|v))) | 1 | 1 | 0 | 0 | entailment |
((j|g)>((s&(j&(s|s)))&(q&(e&g)))) | (((i&j)>b)|(s|~((~(g)&((g>~(v))&v))))) | 1 | 0 | 0 | 0 | entailment |
(((j&v)&(e|(((s|e)>e)|s)))&i) | (((i&j)>b)|(s|~((~(g)&((g>~(v))&v))))) | 0 | 0 | 0 | 0 | not entailment |
((j|g)>((s&(j&(s|s)))&(q&(e&g)))) | (q|(~((q>s))|(i|v))) | 0 | 1 | 0 | 0 | not entailment |
((~(~(~((j>(o>s)))))&~(((v&j)|j)))|o) | (~(e)>((v>e)|o)) | 1 | 1 | 0 | 0 | entailment |
~((v>e)) | ((j>~(((~(~((q&e)))&q)&o)))|((q&q)>g)) | 1 | 0 | 0 | 0 | entailment |
((~(~(~((j>(o>s)))))&~(((v&j)|j)))|o) | ((j>~(((~(~((q&e)))&q)&o)))|((q&q)>g)) | 0 | 1 | 0 | 0 | not entailment |
~((v>e)) | (~(e)>((v>e)|o)) | 0 | 0 | 0 | 0 | not entailment |
((o&g)&s) | (b|(~(s)|g)) | 1 | 0 | 0 | 0 | entailment |
~((~(e)|b)) | ~(~((e|j))) | 1 | 1 | 0 | 0 | entailment |
((o&g)&s) | ~(~((e|j))) | 0 | 0 | 0 | 0 | not entailment |
~((~(e)|b)) | (b|(~(s)|g)) | 0 | 1 | 0 | 0 | not entailment |
(~(b)&(v>b)) | ~(b) | 1 | 1 | 1 | 1 | entailment |
((((b&l)&(~((b>v))|e))|l)&((b>s)>(v|v))) | (((l|v)|l)|(~(v)>l)) | 1 | 1 | 1 | 1 | entailment |
(~(b)&(v>b)) | (((l|v)|l)|(~(v)>l)) | 0 | 0 | 0 | 0 | not entailment |
((((b&l)&(~((b>v))|e))|l)&((b>s)>(v|v))) | ~(b) | 0 | 1 | 1 | 0 | not entailment |
~((b|(s|e))) | (s>(~((v&~(~(v))))>(v&v))) | 1 | 0 | 0 | 0 | entailment |
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