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