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 |
|---|---|---|---|---|---|---|
(h&l) | (k>l) | 1 | 1 | 0 | 0 | entailment |
(~((j&((j>(j>h))|(l&n))))&t) | ((j|j)>(k|t)) | 1 | 1 | 0 | 0 | entailment |
(h&l) | ((j|j)>(k|t)) | 0 | 0 | 0 | 0 | not entailment |
(~((j&((j>(j>h))|(l&n))))&t) | (k>l) | 0 | 1 | 0 | 0 | not entailment |
~(((((b|e)|(b>v))&b)|o)) | (b>u) | 1 | 1 | 0 | 0 | entailment |
~((~(~((o&b)))>~((~((v|u))>i)))) | (~(o)>(i|o)) | 1 | 1 | 1 | 1 | entailment |
~(((((b|e)|(b>v))&b)|o)) | (~(o)>(i|o)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((o&b)))>~((~((v|u))>i)))) | (b>u) | 0 | 1 | 1 | 0 | not entailment |
~(((b>e)|~((((u>o)|o)>u)))) | ((((e|b)&v)>u)&~(e)) | 1 | 1 | 0 | 0 | entailment |
((o&(i&b))&(o&v)) | ~(~((~(~(i))|i))) | 1 | 0 | 1 | 1 | entailment |
~(((b>e)|~((((u>o)|o)>u)))) | ~(~((~(~(i))|i))) | 0 | 1 | 0 | 0 | not entailment |
((o&(i&b))&(o&v)) | ((((e|b)&v)>u)&~(e)) | 0 | 0 | 0 | 0 | not entailment |
~((~(b)&(v>v))) | ((v&(~(e)|i))>(b&~(~((b|b))))) | 1 | 0 | 0 | 0 | entailment |
((i&u)&(i&o)) | ((b&((i>o)|e))|((~(b)>u)>(x|o))) | 1 | 0 | 0 | 0 | entailment |
~((~(b)&(v>v))) | ((b&((i>o)|e))|((~(b)>u)>(x|o))) | 0 | 0 | 0 | 0 | not entailment |
((i&u)&(i&o)) | ((v&(~(e)|i))>(b&~(~((b|b))))) | 0 | 0 | 0 | 0 | not entailment |
~((b|((~(~(v))|~(e))|u))) | ((v>(e|(b|(b|o))))|(i>b)) | 1 | 1 | 0 | 0 | entailment |
(i&(v&(x|x))) | (((i>b)&e)>((o>u)|x)) | 1 | 0 | 0 | 0 | entailment |
~((b|((~(~(v))|~(e))|u))) | (((i>b)&e)>((o>u)|x)) | 0 | 1 | 0 | 0 | not entailment |
(i&(v&(x|x))) | ((v>(e|(b|(b|o))))|(i>b)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((o>(i|((v&i)|(u|i))))))) | (~(i)|(o&~(i))) | 1 | 1 | 1 | 1 | entailment |
~(~(e)) | (~((e|(~(((u&(x|i))>u))>e)))|(i|e)) | 1 | 0 | 0 | 0 | entailment |
~(~(~((o>(i|((v&i)|(u|i))))))) | (~((e|(~(((u&(x|i))>u))>e)))|(i|e)) | 0 | 0 | 0 | 0 | not entailment |
~(~(e)) | (~(i)|(o&~(i))) | 0 | 0 | 0 | 0 | not entailment |
((e&e)|i) | (~(e)>(((v>i)>~(((i|~(x))&i)))>o)) | 1 | 0 | 0 | 0 | entailment |
~((x>e)) | (~(~((o|x)))&((((e&(o&e))>u)>i)>x)) | 1 | 0 | 0 | 0 | entailment |
((e&e)|i) | (~(~((o|x)))&((((e&(o&e))>u)>i)>x)) | 0 | 0 | 0 | 0 | not entailment |
~((x>e)) | (~(e)>(((v>i)>~(((i|~(x))&i)))>o)) | 0 | 0 | 0 | 0 | not entailment |
~(~((v&(b&e)))) | ((((b&b)|i)|u)|(b&(e&(v>x)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((~((o|((x|e)>e)))>b)))) | ((((e>o)>b)>u)|~((b&o))) | 1 | 1 | 0 | 0 | entailment |
~(~((v&(b&e)))) | ((((e>o)>b)>u)|~((b&o))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~((o|((x|e)>e)))>b)))) | ((((b&b)|i)|u)|(b&(e&(v>x)))) | 0 | 1 | 0 | 0 | not entailment |
(b>v) | ((i>~(b))|v) | 1 | 0 | 0 | 0 | entailment |
~((~(x)|(b>u))) | ((~(~(~((~(u)>i))))|v)>(x|u)) | 1 | 0 | 0 | 0 | entailment |
(b>v) | ((~(~(~((~(u)>i))))|v)>(x|u)) | 0 | 0 | 0 | 0 | not entailment |
~((~(x)|(b>u))) | ((i>~(b))|v) | 0 | 1 | 0 | 0 | not entailment |
(~(((~(i)|b)|(x|(u&e))))&(i>i)) | ~(~(((x|v)|(e|~(~(((x|(x|b))>v))))))) | 1 | 0 | 0 | 0 | entailment |
(((~((u>~((b|e))))&(x|b))&(u&u))&~(x)) | (u|(~(((b&v)|o))|~(~(((v&e)&(o|i)))))) | 1 | 1 | 0 | 0 | entailment |
(~(((~(i)|b)|(x|(u&e))))&(i>i)) | (u|(~(((b&v)|o))|~(~(((v&e)&(o|i)))))) | 0 | 0 | 0 | 0 | not entailment |
(((~((u>~((b|e))))&(x|b))&(u&u))&~(x)) | ~(~(((x|v)|(e|~(~(((x|(x|b))>v))))))) | 0 | 1 | 0 | 0 | not entailment |
~(((i&(v&x))>e)) | ((i>~((((b|i)&i)&~(u))))>u) | 1 | 0 | 0 | 0 | entailment |
~(((~((v|i))&((i|b)|x))>(e>v))) | (e|o) | 1 | 1 | 0 | 0 | entailment |
~(((i&(v&x))>e)) | (e|o) | 0 | 1 | 0 | 0 | not entailment |
~(((~((v|i))&((i|b)|x))>(e>v))) | ((i>~((((b|i)&i)&~(u))))>u) | 0 | 1 | 0 | 0 | not entailment |
((x&o)|~((x>b))) | ((e|b)>x) | 1 | 1 | 0 | 0 | entailment |
~(((~((v|u))>e)>~(v))) | ((e>v)|(i&~(u))) | 1 | 1 | 0 | 0 | entailment |
((x&o)|~((x>b))) | ((e>v)|(i&~(u))) | 0 | 1 | 0 | 0 | not entailment |
~(((~((v|u))>e)>~(v))) | ((e|b)>x) | 0 | 1 | 0 | 0 | not entailment |
~((((i>(o&v))>(b|(i|b)))&o)) | ((i>e)|(o>x)) | 1 | 1 | 0 | 0 | entailment |
~(~(((u>u)&(((i>b)&(b|b))&v)))) | (x>(((x>i)|x)&v)) | 1 | 1 | 0 | 0 | entailment |
~((((i>(o&v))>(b|(i|b)))&o)) | (x>(((x>i)|x)&v)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((u>u)&(((i>b)&(b|b))&v)))) | ((i>e)|(o>x)) | 0 | 1 | 0 | 0 | not entailment |
(((o&x)>~(v))&x) | ((u|(i|(v|u)))|(~(~((((e&v)>o)>x)))|u)) | 1 | 0 | 0 | 0 | entailment |
((((v|i)&e)&(e>u))|o) | (o|((i&b)|(~(~(i))>e))) | 1 | 0 | 0 | 0 | entailment |
(((o&x)>~(v))&x) | (o|((i&b)|(~(~(i))>e))) | 0 | 0 | 0 | 0 | not entailment |
((((v|i)&e)&(e>u))|o) | ((u|(i|(v|u)))|(~(~((((e&v)>o)>x)))|u)) | 0 | 0 | 0 | 0 | not entailment |
((e&o)&~(x)) | (x>~(((v>i)>(i>i)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((o|(v>e))))) | (((o>v)&v)|(u&x)) | 1 | 1 | 0 | 0 | entailment |
((e&o)&~(x)) | (((o>v)&v)|(u&x)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((o|(v>e))))) | (x>~(((v>i)>(i>i)))) | 0 | 1 | 0 | 0 | not entailment |
(x|x) | ~(~((x|~((u&e))))) | 1 | 0 | 0 | 0 | entailment |
(((i>i)|b)&(o>(u&u))) | (((v&b)&(u>(u&o)))>((u&o)|(o>e))) | 1 | 0 | 0 | 0 | entailment |
(x|x) | (((v&b)&(u>(u&o)))>((u&o)|(o>e))) | 0 | 0 | 0 | 0 | not entailment |
(((i>i)|b)&(o>(u&u))) | ~(~((x|~((u&e))))) | 0 | 1 | 0 | 0 | not entailment |
((t|~(((t|t)&(t|((f&(f|t))>f)))))>t) | (((~(t)>((~(t)|f)>(t|t)))>f)>t) | 1 | 1 | 1 | 1 | entailment |
((t&f)|f) | (f&f) | 1 | 1 | 1 | 1 | entailment |
((t|~(((t|t)&(t|((f&(f|t))>f)))))>t) | (f&f) | 0 | 1 | 1 | 1 | not entailment |
((t&f)|f) | (((~(t)>((~(t)|f)>(t|t)))>f)>t) | 0 | 0 | 1 | 0 | not entailment |
~((((t>f)|(f&f))|(f|~(t)))) | ((f&(((f&t)|((t>(t&f))>f))&~((f&t))))>t) | 1 | 0 | 1 | 0 | entailment |
~(~((~(((t|t)>(f|t)))|f))) | ((f|(~(~(t))>~(t)))&((t&(t&f))>t)) | 1 | 0 | 1 | 1 | entailment |
~((((t>f)|(f&f))|(f|~(t)))) | ((f|(~(~(t))>~(t)))&((t&(t&f))>t)) | 0 | 0 | 1 | 0 | not entailment |
~(~((~(((t|t)>(f|t)))|f))) | ((f&(((f&t)|((t>(t&f))>f))&~((f&t))))>t) | 0 | 0 | 1 | 1 | not entailment |
~(~(f)) | (f|f) | 1 | 1 | 1 | 1 | entailment |
(t|t) | (f>(t&f)) | 1 | 0 | 0 | 0 | entailment |
~(~(f)) | (f>(t&f)) | 0 | 1 | 0 | 0 | not entailment |
(t|t) | (f|f) | 0 | 1 | 0 | 0 | not entailment |
(f&~((t&((t|t)|((f|f)>f))))) | ((f&(f|t))&(f>(~(f)>f))) | 1 | 1 | 1 | 0 | entailment |
((((t&t)&t)&t)&t) | ~(~(~(~(t)))) | 1 | 1 | 1 | 1 | entailment |
(f&~((t&((t|t)|((f|f)>f))))) | ~(~(~(~(t)))) | 0 | 1 | 1 | 0 | not entailment |
((((t&t)&t)&t)&t) | ((f&(f|t))&(f>(~(f)>f))) | 0 | 0 | 0 | 0 | not entailment |
((~((~((t|((t>(f|t))&f)))&f))>f)&t) | (~(~((f&f)))&(t|t)) | 1 | 1 | 1 | 1 | entailment |
~((~(((t|t)|(f&(f>f))))>t)) | ~((t&t)) | 1 | 1 | 1 | 1 | entailment |
((~((~((t|((t>(f|t))&f)))&f))>f)&t) | ~((t&t)) | 0 | 1 | 1 | 1 | not entailment |
~((~(((t|t)|(f&(f>f))))>t)) | (~(~((f&f)))&(t|t)) | 0 | 1 | 1 | 0 | not entailment |
(t|(t|f)) | (f|(f|t)) | 1 | 1 | 1 | 1 | entailment |
(~((t|t))&~(((~(f)>f)|t))) | ((f>(t&f))|t) | 1 | 1 | 1 | 0 | entailment |
(t|(t|f)) | ((f>(t&f))|t) | 0 | 0 | 1 | 0 | not entailment |
(~((t|t))&~(((~(f)>f)|t))) | (f|(f|t)) | 0 | 1 | 1 | 0 | not entailment |
(((f|t)|~(f))&((((f>f)|f)>t)&((f&t)|t))) | (f|t) | 1 | 1 | 1 | 1 | entailment |
(f>~(f)) | ~((((t|f)|f)&(f&(f|t)))) | 1 | 0 | 0 | 0 | entailment |
(((f|t)|~(f))&((((f>f)|f)>t)&((f&t)|t))) | ~((((t|f)|f)&(f&(f|t)))) | 0 | 1 | 1 | 0 | not entailment |
(f>~(f)) | (f|t) | 0 | 1 | 0 | 0 | not entailment |
(((f|t)|f)&(((f|(f|f))&t)&(~(f)|t))) | (t>(f|f)) | 1 | 1 | 1 | 0 | entailment |
((t&(t>t))&((t&f)>~(f))) | ~(~((f>~((f&(t&t)))))) | 1 | 1 | 1 | 1 | entailment |
(((f|t)|f)&(((f|(f|f))&t)&(~(f)|t))) | ~(~((f>~((f&(t&t)))))) | 0 | 1 | 1 | 0 | not entailment |
((t&(t>t))&((t&f)>~(f))) | (t>(f|f)) | 0 | 1 | 1 | 0 | not entailment |
(t&t) | (((t&(f&f))|(f&(f|f)))>((f&t)&t)) | 1 | 0 | 0 | 0 | entailment |
~((f>t)) | (~(~(~(f)))>(f&t)) | 1 | 0 | 1 | 0 | entailment |
(t&t) | (~(~(~(f)))>(f&t)) | 0 | 0 | 0 | 0 | not entailment |
~((f>t)) | (((t&(f&f))|(f&(f|f)))>((f&t)&t)) | 0 | 0 | 1 | 0 | not entailment |
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