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 |
|---|---|---|---|---|---|---|
((f>(l&~((t|f))))>f) | ((k|(~(~((k>x)))|(l|e)))&(n|(f|e))) | 1 | 0 | 0 | 0 | entailment |
(t&((e>k)|k)) | (((h&(x|f))&(x>f))|(e>k)) | 1 | 0 | 0 | 0 | entailment |
((f>(l&~((t|f))))>f) | (((h&(x|f))&(x>f))|(e>k)) | 0 | 0 | 0 | 0 | not entailment |
(t&((e>k)|k)) | ((k|(~(~((k>x)))|(l|e)))&(n|(f|e))) | 0 | 0 | 0 | 0 | not entailment |
(l>~(l)) | ~((((h|h)&l)&~(~(f)))) | 1 | 0 | 0 | 0 | entailment |
((((~(((k>l)&((t>t)|r)))&x)>t)|(t|t))>r) | ((n>((x|x)&(t|(~((r&f))&n))))|(f>(j|r))) | 1 | 1 | 0 | 0 | entailment |
(l>~(l)) | ((n>((x|x)&(t|(~((r&f))&n))))|(f>(j|r))) | 0 | 0 | 0 | 0 | not entailment |
((((~(((k>l)&((t>t)|r)))&x)>t)|(t|t))>r) | ~((((h|h)&l)&~(~(f)))) | 0 | 1 | 0 | 0 | not entailment |
~((((k&h)&x)|t)) | ((t&e)>f) | 1 | 1 | 0 | 0 | entailment |
(~((x>(~(~(h))|h)))&~(j)) | (h>e) | 1 | 1 | 0 | 0 | entailment |
~((((k&h)&x)|t)) | (h>e) | 0 | 1 | 0 | 0 | not entailment |
(~((x>(~(~(h))|h)))&~(j)) | ((t&e)>f) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~(f)))) | (n>f) | 1 | 1 | 0 | 0 | entailment |
~(~((j&~((((t&r)|x)>((h>r)>t)))))) | (x|(r|(j>(k&t)))) | 1 | 1 | 0 | 0 | entailment |
~(~(~(~(f)))) | (x|(r|(j>(k&t)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((j&~((((t&r)|x)>((h>r)>t)))))) | (n>f) | 0 | 1 | 0 | 0 | not entailment |
~((~((j>n))|(f>k))) | ~((l&(t&k))) | 1 | 1 | 0 | 0 | entailment |
~(((r|h)&~((k&l)))) | (((r|k)>k)|((e|e)&((j>k)&~((e|h))))) | 1 | 0 | 0 | 0 | entailment |
~((~((j>n))|(f>k))) | (((r|k)>k)|((e|e)&((j>k)&~((e|h))))) | 0 | 0 | 0 | 0 | not entailment |
~(((r|h)&~((k&l)))) | ~((l&(t&k))) | 0 | 1 | 0 | 0 | not entailment |
~((((k>k)&n)>k)) | (n|((n|x)|(r&(k>f)))) | 1 | 0 | 0 | 0 | entailment |
~(~((r>~(n)))) | ((((r&n)|j)>(l|h))|(e|j)) | 1 | 0 | 0 | 0 | entailment |
~((((k>k)&n)>k)) | ((((r&n)|j)>(l|h))|(e|j)) | 0 | 0 | 0 | 0 | not entailment |
~(~((r>~(n)))) | (n|((n|x)|(r&(k>f)))) | 0 | 0 | 0 | 0 | not entailment |
((((a&e)&(u&(c&u)))>(a&(x|u)))&x) | (~(~(x))|(u|(x&x))) | 1 | 1 | 1 | 1 | entailment |
(~(((c>c)&a))&~(~((c>e)))) | ~((((u>(e>u))&((a>u)&a))&(c>(~(e)>e)))) | 1 | 0 | 0 | 0 | entailment |
((((a&e)&(u&(c&u)))>(a&(x|u)))&x) | ~((((u>(e>u))&((a>u)&a))&(c>(~(e)>e)))) | 0 | 0 | 1 | 0 | not entailment |
(~(((c>c)&a))&~(~((c>e)))) | (~(~(x))|(u|(x&x))) | 0 | 1 | 0 | 0 | not entailment |
(((c&a)|u)&(a&x)) | (((c>((x&a)&x))|((u|a)|u))>~(~((a|e)))) | 1 | 0 | 0 | 0 | entailment |
(~(c)&(((u|e)>x)>(~(x)&~(a)))) | (((e|c)>a)>~((c&~(e)))) | 1 | 1 | 1 | 0 | entailment |
(((c&a)|u)&(a&x)) | (((e|c)>a)>~((c&~(e)))) | 0 | 0 | 0 | 0 | not entailment |
(~(c)&(((u|e)>x)>(~(x)&~(a)))) | (((c>((x&a)&x))|((u|a)|u))>~(~((a|e)))) | 0 | 0 | 1 | 0 | not entailment |
~((((x>c)|(x&e))>(~(~(x))>(a>u)))) | (~((a&((x|e)>u)))&(u>c)) | 1 | 1 | 1 | 0 | entailment |
~((x|((x>(u>(u&a)))>~((x|e))))) | ((e|u)|(~((~((c|c))|c))&(a|c))) | 1 | 1 | 0 | 0 | entailment |
~((((x>c)|(x&e))>(~(~(x))>(a>u)))) | ((e|u)|(~((~((c|c))|c))&(a|c))) | 0 | 1 | 1 | 0 | not entailment |
~((x|((x>(u>(u&a)))>~((x|e))))) | (~((a&((x|e)>u)))&(u>c)) | 0 | 1 | 0 | 0 | not entailment |
~((~(x)|(a&(e|u)))) | (x|~(~((a>(c>~(u)))))) | 1 | 0 | 0 | 0 | entailment |
((((e|c)|(c>a))&(c>e))&e) | (u>((~(a)|a)&(~((e|e))>c))) | 1 | 0 | 0 | 0 | entailment |
~((~(x)|(a&(e|u)))) | (u>((~(a)|a)&(~((e|e))>c))) | 0 | 0 | 0 | 0 | not entailment |
((((e|c)|(c>a))&(c>e))&e) | (x|~(~((a>(c>~(u)))))) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((~((e&c))|a)))|(e>~(u)))) | (c>(e|(~(a)&(~((c>c))|u)))) | 1 | 1 | 1 | 0 | entailment |
(c&~(((x>a)>a))) | (x>~(x)) | 1 | 1 | 1 | 1 | entailment |
~((~(~((~((e&c))|a)))|(e>~(u)))) | (x>~(x)) | 0 | 1 | 0 | 0 | not entailment |
(c&~(((x>a)>a))) | (c>(e|(~(a)&(~((c>c))|u)))) | 0 | 0 | 0 | 0 | not entailment |
((~((x>a))|((e|x)|a))&(~(c)&u)) | ((a|c)>(a|x)) | 1 | 1 | 1 | 1 | entailment |
~((x&x)) | ((~(((~(e)>c)&a))|~(((e|c)|c)))|~(x)) | 1 | 0 | 0 | 0 | entailment |
((~((x>a))|((e|x)|a))&(~(c)&u)) | ((~(((~(e)>c)&a))|~(((e|c)|c)))|~(x)) | 0 | 0 | 1 | 0 | not entailment |
~((x&x)) | ((a|c)>(a|x)) | 0 | 0 | 0 | 0 | not entailment |
(x&((~(e)&(c&e))>c)) | (~(((~(x)&~(c))>u))>(((c|a)&(e&c))&u)) | 1 | 0 | 0 | 0 | entailment |
~((a|((u|(~(u)&e))>(u|a)))) | (u>((((~(x)>(a|x))|e)|x)>(a|a))) | 1 | 0 | 0 | 0 | entailment |
(x&((~(e)&(c&e))>c)) | (u>((((~(x)>(a|x))|e)|x)>(a|a))) | 0 | 0 | 0 | 0 | not entailment |
~((a|((u|(~(u)&e))>(u|a)))) | (~(((~(x)&~(c))>u))>(((c|a)&(e&c))&u)) | 0 | 0 | 0 | 0 | not entailment |
~((~(e)|(u>(c|x)))) | (~(((x|u)>(a>e)))|~(~((c>e)))) | 1 | 0 | 0 | 0 | entailment |
~(((u&(u|u))>((u>(c|x))>x))) | ((c|(x&c))&u) | 1 | 1 | 1 | 1 | entailment |
~((~(e)|(u>(c|x)))) | ((c|(x&c))&u) | 0 | 1 | 1 | 0 | not entailment |
~(((u&(u|u))>((u>(c|x))>x))) | (~(((x|u)>(a>e)))|~(~((c>e)))) | 0 | 0 | 0 | 0 | not entailment |
((x|((x|x)>(u>x)))>(((c&x)|c)&e)) | ((c|u)|(x|x)) | 1 | 1 | 1 | 1 | entailment |
(((u|c)|(x|e))&(e&a)) | ((x|((e|(a>u))>c))>a) | 1 | 1 | 1 | 0 | entailment |
((x|((x|x)>(u>x)))>(((c&x)|c)&e)) | ((x|((e|(a>u))>c))>a) | 0 | 1 | 0 | 0 | not entailment |
(((u|c)|(x|e))&(e&a)) | ((c|u)|(x|x)) | 0 | 1 | 1 | 1 | not entailment |
((~(~(c))&e)&(a&u)) | ((~(u)|(a>(x>e)))|c) | 1 | 1 | 0 | 0 | entailment |
~((~((a>c))>((e&u)&a))) | ~((~(~((e&(u&u))))&(x>e))) | 1 | 0 | 0 | 0 | entailment |
((~(~(c))&e)&(a&u)) | ~((~(~((e&(u&u))))&(x>e))) | 0 | 0 | 0 | 0 | not entailment |
~((~((a>c))>((e&u)&a))) | ((~(u)|(a>(x>e)))|c) | 0 | 1 | 0 | 0 | not entailment |
~(((c|(x&((x|a)>u)))|~((a&a)))) | (e|~(~((c|a)))) | 1 | 1 | 0 | 0 | entailment |
~(~(((~((u>e))|u)&(x&~(e))))) | (e|((a>u)|x)) | 1 | 1 | 0 | 0 | entailment |
~(((c|(x&((x|a)>u)))|~((a&a)))) | (e|((a>u)|x)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((~((u>e))|u)&(x&~(e))))) | (e|~(~((c|a)))) | 0 | 1 | 0 | 0 | not entailment |
(x&e) | (c>(~(((e&e)|(x&x)))|e)) | 1 | 0 | 0 | 0 | entailment |
~((((x>~(x))|((x&c)&a))|u)) | (((x|u)|(c&~((e|e))))>~((u&c))) | 1 | 0 | 0 | 0 | entailment |
(x&e) | (((x|u)|(c&~((e|e))))>~((u&c))) | 0 | 0 | 0 | 0 | not entailment |
~((((x>~(x))|((x&c)&a))|u)) | (c>(~(((e&e)|(x&x)))|e)) | 0 | 1 | 0 | 0 | not entailment |
((c&e)|((~(c)|c)&((((x&e)&x)&~(x))&a))) | ((x|a)|~(~(((u>(x|(a|(x>e))))>(e&c))))) | 1 | 1 | 0 | 0 | entailment |
(u|a) | (~(a)>u) | 1 | 0 | 1 | 1 | entailment |
((c&e)|((~(c)|c)&((((x&e)&x)&~(x))&a))) | (~(a)>u) | 0 | 1 | 0 | 0 | not entailment |
(u|a) | ((x|a)|~(~(((u>(x|(a|(x>e))))>(e&c))))) | 0 | 0 | 0 | 0 | not entailment |
(e&(x|(~((x>a))&~((e>a))))) | ((u&~(a))>~(~(e))) | 1 | 1 | 0 | 0 | entailment |
~((~((c|(u&(x>c))))|(~(x)|~((c&x))))) | (((x&(c|e))&((x>c)|x))>c) | 1 | 1 | 0 | 0 | entailment |
(e&(x|(~((x>a))&~((e>a))))) | (((x&(c|e))&((x>c)|x))>c) | 0 | 1 | 0 | 0 | not entailment |
~((~((c|(u&(x>c))))|(~(x)|~((c&x))))) | ((u&~(a))>~(~(e))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~(~((a|x)))))>((e&c)&(x&e))) | (a>e) | 1 | 1 | 1 | 1 | entailment |
~(x) | ((x&(((~(e)>c)|a)>x))>(u|u)) | 1 | 0 | 0 | 0 | entailment |
(~(~(~(~((a|x)))))>((e&c)&(x&e))) | ((x&(((~(e)>c)|a)>x))>(u|u)) | 0 | 1 | 0 | 0 | not entailment |
~(x) | (a>e) | 0 | 1 | 0 | 0 | not entailment |
((e&e)&a) | ((~(~((c|(e|a))))&(~(u)>~((u|u))))|e) | 1 | 0 | 0 | 0 | entailment |
(((e>e)&~(~(u)))&~((a&(x&c)))) | (x>((x&u)|u)) | 1 | 1 | 1 | 0 | entailment |
((e&e)&a) | (x>((x&u)|u)) | 0 | 0 | 0 | 0 | not entailment |
(((e>e)&~(~(u)))&~((a&(x&c)))) | ((~(~((c|(e|a))))&(~(u)>~((u|u))))|e) | 0 | 0 | 1 | 0 | not entailment |
(c&(a&a)) | (~(((e|a)>(a|u)))>~((c&~((x&c))))) | 1 | 0 | 0 | 0 | entailment |
(c&(a>(a&x))) | ((~(c)>~(~(x)))>(a>x)) | 1 | 0 | 1 | 0 | entailment |
(c&(a&a)) | ((~(c)>~(~(x)))>(a>x)) | 0 | 0 | 0 | 0 | not entailment |
(c&(a>(a&x))) | (~(((e|a)>(a|u)))>~((c&~((x&c))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((x&e))>~((u|u)))) | (~(~(e))>(~(((a|x)>(e&x)))>(c>(x|u)))) | 1 | 0 | 0 | 0 | entailment |
(((x>a)&((c|c)|c))&~(x)) | (((a&u)&~(x))|(a>(c&a))) | 1 | 1 | 0 | 0 | entailment |
~((~((x&e))>~((u|u)))) | (((a&u)&~(x))|(a>(c&a))) | 0 | 1 | 0 | 0 | not entailment |
(((x>a)&((c|c)|c))&~(x)) | (~(~(e))>(~(((a|x)>(e&x)))>(c>(x|u)))) | 0 | 0 | 0 | 0 | not entailment |
~((h|~(c))) | ~(((h>(c&~(c)))>~((c&(c|c))))) | 1 | 0 | 1 | 0 | entailment |
((h>c)>h) | ((c|h)>(((c>c)&(~(h)&((c>h)|h)))|h)) | 1 | 0 | 1 | 0 | entailment |
~((h|~(c))) | ((c|h)>(((c>c)&(~(h)&((c>h)|h)))|h)) | 0 | 0 | 1 | 0 | not entailment |
((h>c)>h) | ~(((h>(c&~(c)))>~((c&(c|c))))) | 0 | 0 | 1 | 0 | not entailment |
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