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 |
|---|---|---|---|---|---|---|
((((b>(e>e))|b)>~(z))>f) | (f|(~((b|z))>(b&(b|b)))) | 1 | 1 | 1 | 1 | entailment |
~(((z&z)|(e>(e>~(e))))) | (f|(~((b|z))>(b&(b|b)))) | 0 | 1 | 0 | 0 | not entailment |
((((b>(e>e))|b)>~(z))>f) | ((b|s)|~(z)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((b&z)&f))) | (((f|(e&(b&~(b))))|z)|(e&~(~((s|z))))) | 1 | 0 | 0 | 0 | entailment |
(~(z)|s) | ((~((z>b))|(~(z)>s))>(s|(e|s))) | 1 | 0 | 0 | 0 | entailment |
~(~(((b&z)&f))) | ((~((z>b))|(~(z)>s))>(s|(e|s))) | 0 | 0 | 0 | 0 | not entailment |
(~(z)|s) | (((f|(e&(b&~(b))))|z)|(e&~(~((s|z))))) | 0 | 0 | 0 | 0 | not entailment |
((f|(b&f))&b) | ((~(~(b))|~(e))&(f&f)) | 1 | 0 | 0 | 0 | entailment |
(e&(((b|~((b|z)))|s)>~((s>(s|(e>b)))))) | ~(~((s|e))) | 1 | 1 | 1 | 1 | entailment |
((f|(b&f))&b) | ~(~((s|e))) | 0 | 1 | 0 | 0 | not entailment |
(e&(((b|~((b|z)))|s)>~((s>(s|(e>b)))))) | ((~(~(b))|~(e))&(f&f)) | 0 | 1 | 0 | 0 | not entailment |
~((z|~((~(~((b>~(((f>z)>z)))))&f)))) | (s>f) | 1 | 1 | 0 | 0 | entailment |
((z&f)|(((s|~(s))>(z&e))|~((f|(e|f))))) | ((~(~((s&b)))|(f>z))|e) | 1 | 1 | 0 | 0 | entailment |
~((z|~((~(~((b>~(((f>z)>z)))))&f)))) | ((~(~((s&b)))|(f>z))|e) | 0 | 1 | 0 | 0 | not entailment |
((z&f)|(((s|~(s))>(z&e))|~((f|(e|f))))) | (s>f) | 0 | 1 | 1 | 1 | not entailment |
~(~((f&e))) | ~(((~(f)&~(((e|b)>f)))&~(e))) | 1 | 0 | 0 | 0 | entailment |
~(f) | ~((f&(f|e))) | 1 | 0 | 0 | 0 | entailment |
~(~((f&e))) | ~((f&(f|e))) | 0 | 1 | 1 | 0 | not entailment |
~(f) | ~(((~(f)&~(((e|b)>f)))&~(e))) | 0 | 0 | 0 | 0 | not entailment |
(e&~(~(((~(~(e))>f)>f)))) | (e|z) | 1 | 1 | 0 | 0 | entailment |
(s&s) | ((f>z)>s) | 1 | 0 | 0 | 0 | entailment |
(e&~(~(((~(~(e))>f)>f)))) | ((f>z)>s) | 0 | 1 | 0 | 0 | not entailment |
(s&s) | (e|z) | 0 | 1 | 0 | 0 | not entailment |
(z&s) | ((z&b)|((s>(z&f))|z)) | 1 | 0 | 0 | 0 | entailment |
(f&(e>(((f&z)>e)&z))) | (z>(f|e)) | 1 | 1 | 1 | 1 | entailment |
(z&s) | (z>(f|e)) | 0 | 0 | 0 | 0 | not entailment |
(f&(e>(((f&z)>e)&z))) | ((z&b)|((s>(z&f))|z)) | 0 | 1 | 0 | 0 | not entailment |
~(~(e)) | (e|(~(s)>f)) | 1 | 0 | 0 | 0 | entailment |
(((f&(s>s))>(f|(e>f)))>~(~(((z>f)&b)))) | ((z>s)|b) | 1 | 1 | 1 | 1 | entailment |
~(~(e)) | ((z>s)|b) | 0 | 1 | 0 | 0 | not entailment |
(((f&(s>s))>(f|(e>f)))>~(~(((z>f)&b)))) | (e|(~(s)>f)) | 0 | 1 | 1 | 1 | not entailment |
(e|e) | (~(~(((~((e>f))|f)|f)))|(s|f)) | 1 | 0 | 0 | 0 | entailment |
(((((e|f)&e)|~(z))>(z>f))&(((s>b)&b)&z)) | ~(~((b&z))) | 1 | 1 | 1 | 1 | entailment |
(e|e) | ~(~((b&z))) | 0 | 0 | 0 | 0 | not entailment |
(((((e|f)&e)|~(z))>(z>f))&(((s>b)&b)&z)) | (~(~(((~((e>f))|f)|f)))|(s|f)) | 0 | 1 | 1 | 0 | not entailment |
(s&(e&(f&z))) | ((b>b)&((z&(~(s)>(b|(z|b))))&((s>e)|b))) | 1 | 0 | 0 | 0 | entailment |
(~((((e>(f>e))|((e&z)|s))>e))&(b>f)) | ~(e) | 1 | 1 | 1 | 1 | entailment |
(s&(e&(f&z))) | ~(e) | 0 | 1 | 1 | 0 | not entailment |
(~((((e>(f>e))|((e&z)|s))>e))&(b>f)) | ((b>b)&((z&(~(s)>(b|(z|b))))&((s>e)|b))) | 0 | 0 | 1 | 0 | not entailment |
~(~((~(z)&f))) | ~(~((~(s)|f))) | 1 | 1 | 0 | 0 | entailment |
((f|b)&s) | (s&(s&s)) | 1 | 1 | 1 | 1 | entailment |
~(~((~(z)&f))) | (s&(s&s)) | 0 | 1 | 0 | 0 | not entailment |
((f|b)&s) | ~(~((~(s)|f))) | 0 | 0 | 1 | 0 | not entailment |
~((f>s)) | (~(b)>(s|f)) | 1 | 0 | 0 | 0 | entailment |
((e>f)&z) | (~((s|(f|~((((b>f)|b)|f)))))|(~(e)|z)) | 1 | 0 | 0 | 0 | entailment |
~((f>s)) | (~((s|(f|~((((b>f)|b)|f)))))|(~(e)|z)) | 0 | 0 | 0 | 0 | not entailment |
((e>f)&z) | (~(b)>(s|f)) | 0 | 0 | 0 | 0 | not entailment |
(s&((f|s)|s)) | (~((s|(b|(b>e))))|((s&f)|(~(s)>s))) | 1 | 0 | 0 | 0 | entailment |
~(((b&z)>(((z&(b>e))|(e|e))>f))) | (((f&b)|((~(b)>(z>b))|(s&f)))|e) | 1 | 1 | 0 | 0 | entailment |
(s&((f|s)|s)) | (((f&b)|((~(b)>(z>b))|(s&f)))|e) | 0 | 0 | 0 | 0 | not entailment |
~(((b&z)>(((z&(b>e))|(e|e))>f))) | (~((s|(b|(b>e))))|((s&f)|(~(s)>s))) | 0 | 0 | 0 | 0 | not entailment |
(l&((t>x)>~(((x&(x|l))>l)))) | (l|t) | 1 | 1 | 1 | 1 | entailment |
(x&p) | (p&~(((t>~((t|~(t))))&(t|t)))) | 1 | 0 | 0 | 0 | entailment |
(l&((t>x)>~(((x&(x|l))>l)))) | (p&~(((t>~((t|~(t))))&(t|t)))) | 0 | 0 | 0 | 0 | not entailment |
(x&p) | (l|t) | 0 | 1 | 0 | 0 | not entailment |
(~(t)&(~(p)|(p&~((p|x))))) | ~((~((t>((x&p)|~(l))))&(((t|l)|l)>p))) | 1 | 0 | 0 | 0 | entailment |
(p&~(~((x>p)))) | ((p|t)|((x&t)|~(~((t|x))))) | 1 | 0 | 0 | 0 | entailment |
(~(t)&(~(p)|(p&~((p|x))))) | ((p|t)|((x&t)|~(~((t|x))))) | 0 | 1 | 1 | 0 | not entailment |
(p&~(~((x>p)))) | ~((~((t>((x&p)|~(l))))&(((t|l)|l)>p))) | 0 | 0 | 0 | 0 | not entailment |
~(p) | (((p>l)|x)|l) | 1 | 0 | 0 | 0 | entailment |
((t>(x&((l&l)>t)))>~((x>(p>((x&t)>x))))) | (((x|l)|(t&t))|t) | 1 | 1 | 1 | 1 | entailment |
~(p) | (((x|l)|(t&t))|t) | 0 | 0 | 0 | 0 | not entailment |
((t>(x&((l&l)>t)))>~((x>(p>((x&t)>x))))) | (((p>l)|x)|l) | 0 | 1 | 1 | 0 | not entailment |
((t&x)&p) | (x>(p&p)) | 1 | 1 | 1 | 0 | entailment |
~((t|(x&((l>((l|t)|x))&((l>p)>(l&t)))))) | (l|~(t)) | 1 | 1 | 1 | 1 | entailment |
((t&x)&p) | (l|~(t)) | 0 | 1 | 0 | 0 | not entailment |
~((t|(x&((l>((l|t)|x))&((l>p)>(l&t)))))) | (x>(p&p)) | 0 | 1 | 1 | 1 | not entailment |
(((t|t)|(~(x)|x))&t) | (((l>p)>((p|t)|l))&(x>x)) | 1 | 0 | 0 | 0 | entailment |
(((x&(l&p))>~(p))&x) | (p>(p&x)) | 1 | 1 | 1 | 0 | entailment |
(((t|t)|(~(x)|x))&t) | (p>(p&x)) | 0 | 1 | 0 | 0 | not entailment |
(((x&(l&p))>~(p))&x) | (((l>p)>((p|t)|l))&(x>x)) | 0 | 0 | 0 | 0 | not entailment |
((l>x)&(((t>l)&(x|x))&(l&p))) | (((t|x)>x)&p) | 1 | 1 | 1 | 0 | entailment |
~(~(~((t|(l|x))))) | (p>(~((p&(t&p)))&((l>l)>p))) | 1 | 0 | 0 | 0 | entailment |
((l>x)&(((t>l)&(x|x))&(l&p))) | (p>(~((p&(t&p)))&((l>l)>p))) | 0 | 1 | 1 | 0 | not entailment |
~(~(~((t|(l|x))))) | (((t|x)>x)&p) | 0 | 1 | 0 | 0 | not entailment |
(l&~((t>~(~(((~(x)>l)&x)))))) | ((l|t)|(~((l|(t&t)))>~((x|~(x))))) | 1 | 0 | 1 | 0 | entailment |
(p|(x&t)) | (x|p) | 1 | 1 | 1 | 1 | entailment |
(l&~((t>~(~(((~(x)>l)&x)))))) | (x|p) | 0 | 1 | 0 | 0 | not entailment |
(p|(x&t)) | ((l|t)|(~((l|(t&t)))>~((x|~(x))))) | 0 | 0 | 0 | 0 | not entailment |
(l&((t|~(t))>~((p>x)))) | (((((l>p)|~((l|(x&t))))>l)|(t|p))&l) | 1 | 0 | 1 | 0 | entailment |
((t&(t&(x|p)))&x) | (((x|p)|((x|(t&l))>p))>((l&(l&x))|x)) | 1 | 0 | 0 | 0 | entailment |
(l&((t|~(t))>~((p>x)))) | (((x|p)|((x|(t&l))>p))>((l&(l&x))|x)) | 0 | 0 | 1 | 0 | not entailment |
((t&(t&(x|p)))&x) | (((((l>p)|~((l|(x&t))))>l)|(t|p))&l) | 0 | 0 | 0 | 0 | not entailment |
~((x>~(p))) | (((l&t)>(p&~(x)))>((l|l)>x)) | 1 | 0 | 0 | 0 | entailment |
~(((x|p)|t)) | ~((~(t)>t)) | 1 | 1 | 1 | 1 | entailment |
~((x>~(p))) | ~((~(t)>t)) | 0 | 1 | 0 | 0 | not entailment |
~(((x|p)|t)) | (((l&t)>(p&~(x)))>((l|l)>x)) | 0 | 0 | 0 | 0 | not entailment |
(((l&(x>x))&p)&(~(t)>l)) | ~((p>(~(((t>x)&p))&(~(p)&(t&~(x)))))) | 1 | 0 | 1 | 0 | entailment |
((~(t)|p)>((t>p)&~((p>p)))) | ~((t&((x&p)&p))) | 1 | 1 | 0 | 0 | entailment |
(((l&(x>x))&p)&(~(t)>l)) | ~((t&((x&p)&p))) | 0 | 1 | 1 | 0 | not entailment |
((~(t)|p)>((t>p)&~((p>p)))) | ~((p>(~(((t>x)&p))&(~(p)&(t&~(x)))))) | 0 | 0 | 0 | 0 | not entailment |
~(((x&(~(~(t))>x))>((t&t)|~(l)))) | (~(~(l))|(((l&t)>l)>p)) | 1 | 1 | 0 | 0 | entailment |
((((p&x)|(l>l))|p)&t) | ~(~(t)) | 1 | 1 | 1 | 1 | entailment |
~(((x&(~(~(t))>x))>((t&t)|~(l)))) | ~(~(t)) | 0 | 1 | 1 | 0 | not entailment |
((((p&x)|(l>l))|p)&t) | (~(~(l))|(((l&t)>l)>p)) | 0 | 0 | 1 | 1 | not entailment |
~((~(~((~((l>p))>x)))|~(l))) | ((~(((t&l)|((t>p)&t)))&(x&~(x)))|l) | 1 | 0 | 0 | 0 | entailment |
((~(l)|x)|(t&l)) | (((l&l)&~(x))>t) | 1 | 1 | 1 | 1 | entailment |
~((~(~((~((l>p))>x)))|~(l))) | (((l&l)&~(x))>t) | 0 | 1 | 0 | 0 | not entailment |
((~(l)|x)|(t&l)) | ((~(((t&l)|((t>p)&t)))&(x&~(x)))|l) | 0 | 0 | 0 | 0 | not entailment |
(t&(((~(l)>t)>(x>x))>l)) | (((l|x)|((~(t)|x)>t))>(p>t)) | 1 | 0 | 0 | 0 | entailment |
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