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 |
|---|---|---|---|---|---|---|
(x&~(~((c&((c|(u>u))>(u|u)))))) | ((x>e)|(((a&h)|(c|x))>(h>(c>(r|e))))) | 0 | 0 | 0 | 0 | not entailment |
~(((a&(x>(u&c)))|(e>~(~(z))))) | (r>(u|a)) | 0 | 1 | 0 | 0 | not entailment |
((~(~((~(x)&(l>b))))&(z&l))&((r>b)>e)) | (z>((l&c)|b)) | 1 | 1 | 0 | 0 | entailment |
(~(a)&l) | (((h&a)&((u>x)|e))>r) | 1 | 0 | 0 | 0 | entailment |
((~(~((~(x)&(l>b))))&(z&l))&((r>b)>e)) | (((h&a)&((u>x)|e))>r) | 0 | 1 | 0 | 0 | not entailment |
(~(a)&l) | (z>((l&c)|b)) | 0 | 0 | 0 | 0 | not entailment |
~((z|(~(~(~(~((r&(e&c))))))>z))) | ((h>a)>((e>(c|x))&c)) | 1 | 1 | 0 | 0 | entailment |
(((a>z)>l)&u) | ((((u|z)>r)>(l>(r>u)))|(h|a)) | 1 | 0 | 0 | 0 | entailment |
~((z|(~(~(~(~((r&(e&c))))))>z))) | ((((u|z)>r)>(l>(r>u)))|(h|a)) | 0 | 1 | 0 | 0 | not entailment |
(((a>z)>l)&u) | ((h>a)>((e>(c|x))&c)) | 0 | 0 | 0 | 0 | not entailment |
((a|a)&(p>((a>((n&l)>p))&(p|a)))) | (~((a&l))>((n|~(((l>l)&p)))>(a|a))) | 1 | 0 | 1 | 0 | entailment |
(~(l)&p) | ~(~((((n|l)|(p>a))>((n>n)>p)))) | 1 | 0 | 0 | 0 | entailment |
((a|a)&(p>((a>((n&l)>p))&(p|a)))) | ~(~((((n|l)|(p>a))>((n>n)>p)))) | 0 | 1 | 1 | 0 | not entailment |
(~(l)&p) | (~((a&l))>((n|~(((l>l)&p)))>(a|a))) | 0 | 0 | 0 | 0 | not entailment |
~((((a|a)>p)|l)) | ((n&a)>~(l)) | 1 | 1 | 0 | 0 | entailment |
((p&(p&n))&(a&p)) | ((p&((((l&(n>a))&l)&(a>(l|l)))&p))|(p&p)) | 1 | 0 | 0 | 0 | entailment |
~((((a|a)>p)|l)) | ((p&((((l&(n>a))&l)&(a>(l|l)))&p))|(p&p)) | 0 | 0 | 0 | 0 | not entailment |
((p&(p&n))&(a&p)) | ((n&a)>~(l)) | 0 | 1 | 0 | 0 | not entailment |
~(((a|(a|n))&(~(((n&p)>~(l)))>n))) | ((((a|n)|n)&l)|((~((n>l))|n)>l)) | 1 | 1 | 1 | 0 | entailment |
((p&a)&(a&(p>p))) | ((a&n)|a) | 1 | 1 | 0 | 0 | entailment |
~(((a|(a|n))&(~(((n&p)>~(l)))>n))) | ((a&n)|a) | 0 | 1 | 1 | 0 | not entailment |
((p&a)&(a&(p>p))) | ((((a|n)|n)&l)|((~((n>l))|n)>l)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(n))>(((a&~(n))&n)&~(a))) | (~(~((p>~(p))))>~(n)) | 1 | 1 | 0 | 0 | entailment |
~(((~(~(((p&p)&n)))|p)|~(n))) | (n|(((p>(p&l))&a)&((a>l)|a))) | 1 | 1 | 0 | 0 | entailment |
(~(~(n))>(((a&~(n))&n)&~(a))) | (n|(((p>(p&l))&a)&((a>l)|a))) | 0 | 1 | 0 | 0 | not entailment |
~(((~(~(((p&p)&n)))|p)|~(n))) | (~(~((p>~(p))))>~(n)) | 0 | 1 | 1 | 0 | not entailment |
~(((((p&n)&a)>p)>((a&l)|a))) | ((a>((n>p)&((a>a)>(p>n))))&~((a|a))) | 1 | 0 | 1 | 0 | entailment |
(l>(~(p)>p)) | (p|((~((a>l))|(l>a))|a)) | 1 | 0 | 0 | 0 | entailment |
~(((((p&n)&a)>p)>((a&l)|a))) | (p|((~((a>l))|(l>a))|a)) | 0 | 1 | 1 | 0 | not entailment |
(l>(~(p)>p)) | ((a>((n>p)&((a>a)>(p>n))))&~((a|a))) | 0 | 0 | 0 | 0 | not entailment |
~(((p&p)>(l|a))) | (p&((p&l)>(l>l))) | 1 | 1 | 1 | 0 | entailment |
(~((((p|p)|a)&(l|n)))>a) | ((~(l)&~(a))>((n|l)&((l&p)|(l>l)))) | 1 | 0 | 1 | 0 | entailment |
~(((p&p)>(l|a))) | ((~(l)&~(a))>((n|l)&((l&p)|(l>l)))) | 0 | 0 | 0 | 0 | not entailment |
(~((((p|p)|a)&(l|n)))>a) | (p&((p&l)>(l>l))) | 0 | 1 | 1 | 0 | not entailment |
~((((~(n)|p)&((n|l)>(l&n)))>(l&n))) | ~(~((a>(((n&(l|(l|n)))>l)|~((l>p)))))) | 1 | 0 | 0 | 0 | entailment |
~((n>l)) | ~((~(a)&~(n))) | 1 | 0 | 0 | 0 | entailment |
~((((~(n)|p)&((n|l)>(l&n)))>(l&n))) | ~((~(a)&~(n))) | 0 | 1 | 0 | 0 | not entailment |
~((n>l)) | ~(~((a>(((n&(l|(l|n)))>l)|~((l>p)))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(l)&~((a>((a>n)>(p&p))))))&n)) | (~(((n|a)>a))>(p|l)) | 1 | 1 | 1 | 0 | entailment |
(~(p)&~((~(((l>a)|a))&~(n)))) | ~(~((a|~(p)))) | 1 | 1 | 1 | 1 | entailment |
~((~((~(l)&~((a>((a>n)>(p&p))))))&n)) | ~(~((a|~(p)))) | 0 | 1 | 1 | 1 | not entailment |
(~(p)&~((~(((l>a)|a))&~(n)))) | (~(((n|a)>a))>(p|l)) | 0 | 1 | 1 | 0 | not entailment |
(l&((a&(p|l))&a)) | ((p>~(((n&((n>a)|(n>p)))|(l>l))))>(l|p)) | 1 | 0 | 0 | 0 | entailment |
~(n) | (a>(~(n)&((a|((l|a)&(p|l)))|l))) | 1 | 0 | 0 | 0 | entailment |
(l&((a&(p|l))&a)) | (a>(~(n)&((a|((l|a)&(p|l)))|l))) | 0 | 0 | 0 | 0 | not entailment |
~(n) | ((p>~(((n&((n>a)|(n>p)))|(l>l))))>(l|p)) | 0 | 0 | 0 | 0 | not entailment |
(((l>(~(p)>(l&p)))>n)&(p|p)) | ~((~(p)&((~(~(l))|~((n&n)))|~(p)))) | 1 | 0 | 1 | 1 | entailment |
~(((a|((n>(p>l))>n))|n)) | ((n>a)|((l|l)&l)) | 1 | 1 | 1 | 0 | entailment |
(((l>(~(p)>(l&p)))>n)&(p|p)) | ((n>a)|((l|l)&l)) | 0 | 1 | 0 | 0 | not entailment |
~(((a|((n>(p>l))>n))|n)) | ~((~(p)&((~(~(l))|~((n&n)))|~(p)))) | 0 | 0 | 1 | 0 | not entailment |
((p&a)&a) | (((a|~(l))>p)|~((n|n))) | 1 | 0 | 0 | 0 | entailment |
((l&a)&(n|~((l&(~(a)>p))))) | ~(~((p>l))) | 1 | 1 | 1 | 1 | entailment |
((p&a)&a) | ~(~((p>l))) | 0 | 0 | 0 | 0 | not entailment |
((l&a)&(n|~((l&(~(a)>p))))) | (((a|~(l))>p)|~((n|n))) | 0 | 1 | 1 | 0 | not entailment |
((~(n)>a)&(a|a)) | ((~(n)>a)&(n>n)) | 1 | 1 | 1 | 0 | entailment |
((p>(l&~(l)))&(a|(n>p))) | ((a&n)>(p>~(~((p&~(l)))))) | 1 | 0 | 1 | 0 | entailment |
((~(n)>a)&(a|a)) | ((a&n)>(p>~(~((p&~(l)))))) | 0 | 0 | 0 | 0 | not entailment |
((p>(l&~(l)))&(a|(n>p))) | ((~(n)>a)&(n>n)) | 0 | 1 | 1 | 0 | not entailment |
((a&(a&n))&~(((p&a)&l))) | ((~(n)&(p|l))>(((a>a)>l)&a)) | 1 | 0 | 1 | 0 | entailment |
~((~(l)|((~((l&l))|p)|n))) | (~(a)|l) | 1 | 1 | 0 | 0 | entailment |
((a&(a&n))&~(((p&a)&l))) | (~(a)|l) | 0 | 1 | 1 | 0 | not entailment |
~((~(l)|((~((l&l))|p)|n))) | ((~(n)&(p|l))>(((a>a)>l)&a)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((n|~((a&((p|l)&a))))))) | ~((a>~(~(((l|a)>(~(a)&n)))))) | 1 | 1 | 1 | 1 | entailment |
(~((~(l)>((p|p)|(a&p))))&n) | ~(l) | 1 | 1 | 1 | 1 | entailment |
~(~(~((n|~((a&((p|l)&a))))))) | ~(l) | 0 | 1 | 1 | 0 | not entailment |
(~((~(l)>((p|p)|(a&p))))&n) | ~((a>~(~(((l|a)>(~(a)&n)))))) | 0 | 0 | 1 | 0 | not entailment |
~(n) | (~(~(n))>~(~((a>l)))) | 1 | 0 | 0 | 0 | entailment |
(~(((a>(p&a))&(a|~((n&l)))))&a) | (p|(~(a)>a)) | 1 | 1 | 1 | 0 | entailment |
~(n) | (p|(~(a)>a)) | 0 | 0 | 0 | 0 | not entailment |
(~(((a>(p&a))&(a|~((n&l)))))&a) | (~(~(n))>~(~((a>l)))) | 0 | 1 | 1 | 0 | not entailment |
~(((a>n)&((a|l)|((p|~(l))|l)))) | ~(~(~((n&((a&(p|p))|(n>(n>l))))))) | 1 | 0 | 1 | 0 | entailment |
~(((l|p)>p)) | ((p>a)>(~((n|(p|p)))|((l&n)&~((a&p))))) | 1 | 0 | 0 | 0 | entailment |
~(((a>n)&((a|l)|((p|~(l))|l)))) | ((p>a)>(~((n|(p|p)))|((l&n)&~((a&p))))) | 0 | 0 | 1 | 0 | not entailment |
~(((l|p)>p)) | ~(~(~((n&((a&(p|p))|(n>(n>l))))))) | 0 | 0 | 0 | 0 | not entailment |
(~((((b&b)>((x&h)>b))>~(h)))&f) | (f|h) | 1 | 1 | 1 | 1 | entailment |
((b>z)&~(((b>(x>(g>h)))|(j&f)))) | (b|~(~(z))) | 1 | 1 | 1 | 1 | entailment |
(~((((b&b)>((x&h)>b))>~(h)))&f) | (b|~(~(z))) | 0 | 1 | 0 | 0 | not entailment |
((b>z)&~(((b>(x>(g>h)))|(j&f)))) | (f|h) | 0 | 1 | 1 | 0 | not entailment |
~(((q&~(z))>(~(x)&((h|b)|j)))) | (b>(((z&~((j&x)))&b)|((j&h)>q))) | 1 | 1 | 1 | 0 | entailment |
((z&(z|x))&(g&h)) | ((~(j)>~(j))&((~(~(g))|z)|(h|b))) | 1 | 0 | 0 | 0 | entailment |
~(((q&~(z))>(~(x)&((h|b)|j)))) | ((~(j)>~(j))&((~(~(g))|z)|(h|b))) | 0 | 0 | 0 | 0 | not entailment |
((z&(z|x))&(g&h)) | (b>(((z&~((j&x)))&b)|((j&h)>q))) | 0 | 0 | 0 | 0 | not entailment |
~(~((j|(~((f|~(z)))&(b|f))))) | ((q|(~(x)>b))|(j|z)) | 1 | 1 | 0 | 0 | entailment |
(~((f>~(g)))&(((f&b)>x)|h)) | (g|b) | 1 | 1 | 1 | 0 | entailment |
~(~((j|(~((f|~(z)))&(b|f))))) | (g|b) | 0 | 1 | 0 | 0 | not entailment |
(~((f>~(g)))&(((f&b)>x)|h)) | ((q|(~(x)>b))|(j|z)) | 0 | 1 | 0 | 0 | not entailment |
((((q|b)>b)&j)&(z|h)) | ((g|j)|((h>j)>q)) | 1 | 1 | 0 | 0 | entailment |
((~((g|(~(j)>b)))|g)&f) | (q>f) | 1 | 1 | 0 | 0 | entailment |
((((q|b)>b)&j)&(z|h)) | (q>f) | 0 | 1 | 0 | 0 | not entailment |
((~((g|(~(j)>b)))|g)&f) | ((g|j)|((h>j)>q)) | 0 | 1 | 0 | 0 | not entailment |
((z&g)&(b&f)) | ((f|(~((g|q))&(z|g)))|((q&z)|b)) | 1 | 0 | 0 | 0 | entailment |
~(j) | (((f>x)>g)>(~(j)|q)) | 1 | 0 | 0 | 0 | entailment |
((z&g)&(b&f)) | (((f>x)>g)>(~(j)|q)) | 0 | 0 | 0 | 0 | not entailment |
~(j) | ((f|(~((g|q))&(z|g)))|((q&z)|b)) | 0 | 0 | 0 | 0 | not entailment |
~((((x>(z&b))&~(~(x)))>~(g))) | (z|b) | 1 | 1 | 1 | 1 | entailment |
(j&(f>~((q|x)))) | (((~(h)|z)|(j|(x&b)))&(j|j)) | 1 | 0 | 0 | 0 | entailment |
~((((x>(z&b))&~(~(x)))>~(g))) | (((~(h)|z)|(j|(x&b)))&(j|j)) | 0 | 1 | 0 | 0 | not entailment |
(j&(f>~((q|x)))) | (z|b) | 0 | 1 | 0 | 0 | not entailment |
(x&(f&(b|x))) | ((b>f)|(((j|z)&j)|f)) | 1 | 0 | 0 | 0 | entailment |
((x&q)&z) | (f>z) | 1 | 1 | 0 | 0 | entailment |
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