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 |
|---|---|---|---|---|---|---|
(a&(x&e)) | (((l&y)|a)|(((((l&y)>o)|(a|a))|x)>a)) | 1 | 0 | 0 | 0 | entailment |
((a>x)&((l|(l&x))&~((l&s)))) | (((l&y)|a)|(((((l&y)>o)|(a|a))|x)>a)) | 0 | 0 | 0 | 0 | not entailment |
(a&(x&e)) | (l|((e>c)|((e>~((x>e)))|y))) | 0 | 0 | 0 | 0 | not entailment |
(~((o>y))&((c&s)&c)) | (~((c>x))|o) | 1 | 1 | 0 | 0 | entailment |
~((((c|s)|((l|l)|y))|(c&(o|c)))) | (x>(~(~((o&l)))>~(((s&o)&(~(l)|s))))) | 1 | 0 | 0 | 0 | entailment |
(~((o>y))&((c&s)&c)) | (x>(~(~((o&l)))>~(((s&o)&(~(l)|s))))) | 0 | 0 | 0 | 0 | not entailment |
~((((c|s)|((l|l)|y))|(c&(o|c)))) | (~((c>x))|o) | 0 | 1 | 0 | 0 | not entailment |
(~(l)&~(((c&~(o))>(o&(~(l)&a))))) | ((((s&c)|(o>o))>(a>c))|~((l&e))) | 1 | 1 | 0 | 0 | entailment |
(s&(o&(~(((c>x)>~(y)))>(l&~(l))))) | (o|((~((c|(c&(y>s))))>a)>((a&y)&c))) | 1 | 1 | 0 | 0 | entailment |
(~(l)&~(((c&~(o))>(o&(~(l)&a))))) | (o|((~((c|(c&(y>s))))>a)>((a&y)&c))) | 0 | 1 | 0 | 0 | not entailment |
(s&(o&(~(((c>x)>~(y)))>(l&~(l))))) | ((((s&c)|(o>o))>(a>c))|~((l&e))) | 0 | 1 | 0 | 0 | not entailment |
(c&x) | (((x&x)>l)>c) | 1 | 0 | 0 | 0 | entailment |
((l|e)&e) | ((~(l)|y)|((e|~(x))|((e|x)&s))) | 1 | 0 | 0 | 0 | entailment |
(c&x) | ((~(l)|y)|((e|~(x))|((e|x)&s))) | 0 | 0 | 0 | 0 | not entailment |
((l|e)&e) | (((x&x)>l)>c) | 0 | 0 | 0 | 0 | not entailment |
(~(((a>~(l))|~(e)))|(s&((~(x)|o)|e))) | ((((x|y)>~((((y|y)|o)>s)))>(x|e))|s) | 1 | 1 | 0 | 0 | entailment |
~((~(~(c))>s)) | ((x|c)>(e>c)) | 1 | 1 | 0 | 0 | entailment |
(~(((a>~(l))|~(e)))|(s&((~(x)|o)|e))) | ((x|c)>(e>c)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(c))>s)) | ((((x|y)>~((((y|y)|o)>s)))>(x|e))|s) | 0 | 0 | 0 | 0 | not entailment |
(((c>o)&((y&x)&a))&(c>~(o))) | ((c|a)|(~(((x|(x>a))&x))>(x&x))) | 1 | 0 | 1 | 0 | entailment |
(((x|(y>x))>(~(s)&l))&~((~((e>c))>s))) | ~(s) | 1 | 1 | 1 | 1 | entailment |
(((c>o)&((y&x)&a))&(c>~(o))) | ~(s) | 0 | 1 | 0 | 0 | not entailment |
(((x|(y>x))>(~(s)&l))&~((~((e>c))>s))) | ((c|a)|(~(((x|(x>a))&x))>(x&x))) | 0 | 1 | 0 | 0 | not entailment |
((s&l)&(l>((e|((l|(~(c)>s))&(l&e)))|x))) | ((c>e)|(x>(e|s))) | 1 | 1 | 1 | 0 | entailment |
~((s|y)) | ~(~((y>((((e>a)|s)>y)>~((l&o)))))) | 1 | 0 | 0 | 0 | entailment |
((s&l)&(l>((e|((l|(~(c)>s))&(l&e)))|x))) | ~(~((y>((((e>a)|s)>y)>~((l&o)))))) | 0 | 1 | 0 | 0 | not entailment |
~((s|y)) | ((c>e)|(x>(e|s))) | 0 | 0 | 0 | 0 | not entailment |
(x&e) | (a|e) | 1 | 1 | 0 | 0 | entailment |
~((~((e|l))>(((e|e)|~(s))|c))) | (c|~((e&~(l)))) | 1 | 1 | 1 | 0 | entailment |
(x&e) | (c|~((e&~(l)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((e|l))>(((e|e)|~(s))|c))) | (a|e) | 0 | 1 | 0 | 0 | not entailment |
(s&a) | (c|(~(((y>a)>~(((~((a>x))&o)>y))))|s)) | 1 | 0 | 0 | 0 | entailment |
(y&(s>~(((y>~(e))&(s|l))))) | (~(y)>y) | 1 | 1 | 1 | 1 | entailment |
(s&a) | (~(y)>y) | 0 | 0 | 0 | 0 | not entailment |
(y&(s>~(((y>~(e))&(s|l))))) | (c|(~(((y>a)>~(((~((a>x))&o)>y))))|s)) | 0 | 0 | 0 | 0 | not entailment |
(a&e) | (((s|a)|(l|(s&y)))|((x&o)|y)) | 1 | 0 | 0 | 0 | entailment |
~((~(((y&(~(x)&e))|(s&e)))>(s|o))) | ~(o) | 1 | 1 | 1 | 1 | entailment |
(a&e) | ~(o) | 0 | 1 | 0 | 0 | not entailment |
~((~(((y&(~(x)&e))|(s&e)))>(s|o))) | (((s|a)|(l|(s&y)))|((x&o)|y)) | 0 | 1 | 0 | 0 | not entailment |
((x>o)&s) | (s|a) | 1 | 1 | 0 | 0 | entailment |
(((a&o)|(c&(((l&y)|e)&(e|o))))&c) | ((a|c)|(y|(c&((o&o)|x)))) | 1 | 1 | 0 | 0 | entailment |
((x>o)&s) | ((a|c)|(y|(c&((o&o)|x)))) | 0 | 0 | 0 | 0 | not entailment |
(((a&o)|(c&(((l&y)|e)&(e|o))))&c) | (s|a) | 0 | 1 | 0 | 0 | not entailment |
~(~((((c&s)&~(l))&o))) | ((e|c)|~(((l&o)>e))) | 1 | 1 | 0 | 0 | entailment |
~((o|s)) | (o>((a>l)|(a>e))) | 1 | 0 | 0 | 0 | entailment |
~(~((((c&s)&~(l))&o))) | (o>((a>l)|(a>e))) | 0 | 1 | 0 | 0 | not entailment |
~((o|s)) | ((e|c)|~(((l&o)>e))) | 0 | 0 | 0 | 0 | not entailment |
(((c&(e|x))&s)&(x|o)) | (c|(o|a)) | 1 | 1 | 0 | 0 | entailment |
(l&((((y|a)|e)&(o|e))>~((y&e)))) | ((~(s)|l)|((e&l)&(c>c))) | 1 | 1 | 0 | 0 | entailment |
(((c&(e|x))&s)&(x|o)) | ((~(s)|l)|((e&l)&(c>c))) | 0 | 0 | 0 | 0 | not entailment |
(l&((((y|a)|e)&(o|e))>~((y&e)))) | (c|(o|a)) | 0 | 1 | 0 | 0 | not entailment |
(~(h)&((q&((l>o)&q))&~(h))) | (h>(m&l)) | 1 | 1 | 0 | 0 | entailment |
~((o|~(~(~((((m&q)|(l|h))|(m|h))))))) | (o>~((((q&(m&f))|(l&f))|(q&(f|l))))) | 1 | 1 | 0 | 0 | entailment |
(~(h)&((q&((l>o)&q))&~(h))) | (o>~((((q&(m&f))|(l&f))|(q&(f|l))))) | 0 | 0 | 0 | 0 | not entailment |
~((o|~(~(~((((m&q)|(l|h))|(m|h))))))) | (h>(m&l)) | 0 | 1 | 1 | 0 | not entailment |
(m&(q&f)) | (m|(((l|o)|~(l))&((q&l)&~(q)))) | 1 | 0 | 0 | 0 | entailment |
((l>~(f))&(((~(f)|q)>h)&(o&q))) | (~(((m&h)&q))>h) | 1 | 1 | 0 | 0 | entailment |
(m&(q&f)) | (~(((m&h)&q))>h) | 0 | 0 | 0 | 0 | not entailment |
((l>~(f))&(((~(f)|q)>h)&(o&q))) | (m|(((l|o)|~(l))&((q&l)&~(q)))) | 0 | 1 | 0 | 0 | not entailment |
((l>q)&(m&q)) | (m&(h|m)) | 1 | 1 | 0 | 0 | entailment |
~((f|m)) | ((((h|m)>~((q&~(((h>l)>~(q))))))|h)|f) | 1 | 0 | 0 | 0 | entailment |
((l>q)&(m&q)) | ((((h|m)>~((q&~(((h>l)>~(q))))))|h)|f) | 0 | 0 | 0 | 0 | not entailment |
~((f|m)) | (m&(h|m)) | 0 | 1 | 0 | 0 | not entailment |
(((~((h&(o&l)))|~(f))&m)&((m&o)|f)) | (((m|f)|m)|(m&(l&l))) | 1 | 1 | 1 | 0 | entailment |
~(f) | ~((o&f)) | 1 | 0 | 0 | 0 | entailment |
(((~((h&(o&l)))|~(f))&m)&((m&o)|f)) | ~((o&f)) | 0 | 1 | 1 | 1 | not entailment |
~(f) | (((m|f)|m)|(m&(l&l))) | 0 | 0 | 0 | 0 | not entailment |
~(((m>(m|h))>(~(h)|~((q&f))))) | ((h|f)|(((l&(h>h))&(m|o))|(o&(h&l)))) | 1 | 0 | 0 | 0 | entailment |
(m&((((l&m)&~(m))&(q|o))|((q|(l|l))&o))) | ((o|(q>m))|(((o|h)&(f&(l|f)))&(l&f))) | 1 | 1 | 0 | 0 | entailment |
~(((m>(m|h))>(~(h)|~((q&f))))) | ((o|(q>m))|(((o|h)&(f&(l|f)))&(l&f))) | 0 | 0 | 0 | 0 | not entailment |
(m&((((l&m)&~(m))&(q|o))|((q|(l|l))&o))) | ((h|f)|(((l&(h>h))&(m|o))|(o&(h&l)))) | 0 | 1 | 0 | 0 | not entailment |
(((~(f)|l)&h)&~((m>(q>(f&f))))) | (((q>m)|(((q&o)&o)&~(o)))&(h>(q&q))) | 1 | 0 | 0 | 0 | entailment |
((m&l)&f) | (o>l) | 1 | 1 | 0 | 0 | entailment |
(((~(f)|l)&h)&~((m>(q>(f&f))))) | (o>l) | 0 | 1 | 0 | 0 | not entailment |
((m&l)&f) | (((q>m)|(((q&o)&o)&~(o)))&(h>(q&q))) | 0 | 0 | 0 | 0 | not entailment |
~((f>(((m|(m>m))>m)|(h|o)))) | (~((~((l|f))&o))|((f|q)&m)) | 1 | 1 | 0 | 0 | entailment |
(q|~((m|~(q)))) | ~(~(((l|o)>~(~((q&q)))))) | 1 | 0 | 0 | 0 | entailment |
~((f>(((m|(m>m))>m)|(h|o)))) | ~(~(((l|o)>~(~((q&q)))))) | 0 | 1 | 0 | 0 | not entailment |
(q|~((m|~(q)))) | (~((~((l|f))&o))|((f|q)&m)) | 0 | 0 | 0 | 0 | not entailment |
((q|q)&(l&(((f|h)|h)>m))) | (((m>(f&m))>o)|(q|m)) | 1 | 1 | 0 | 0 | entailment |
((l>q)&~((q&(m|h)))) | ((l&o)>(h>~((~(m)|f)))) | 1 | 0 | 0 | 0 | entailment |
((q|q)&(l&(((f|h)|h)>m))) | ((l&o)>(h>~((~(m)|f)))) | 0 | 1 | 0 | 0 | not entailment |
((l>q)&~((q&(m|h)))) | (((m>(f&m))>o)|(q|m)) | 0 | 1 | 0 | 0 | not entailment |
(((l&((l>q)>h))>(q|l))&m) | ~(~(m)) | 1 | 1 | 1 | 1 | entailment |
((l&(~(q)>((m&l)|m)))&(f|(f|~(l)))) | (~(((~(((q|l)&(q>m)))|o)|l))>h) | 1 | 1 | 0 | 0 | entailment |
(((l&((l>q)>h))>(q|l))&m) | (~(((~(((q|l)&(q>m)))|o)|l))>h) | 0 | 0 | 0 | 0 | not entailment |
((l&(~(q)>((m&l)|m)))&(f|(f|~(l)))) | ~(~(m)) | 0 | 1 | 1 | 1 | not entailment |
((f&~(q))&((~(q)&m)&((m>h)|q))) | (((q|f)|~(q))&(m|((q&o)&h))) | 1 | 1 | 0 | 0 | entailment |
~(l) | ((l>q)|(~((q|(h>o)))&h)) | 1 | 0 | 0 | 0 | entailment |
((f&~(q))&((~(q)&m)&((m>h)|q))) | ((l>q)|(~((q|(h>o)))&h)) | 0 | 1 | 0 | 0 | not entailment |
~(l) | (((q|f)|~(q))&(m|((q&o)&h))) | 0 | 0 | 0 | 0 | not entailment |
~((((l|o)&~(((o|o)&f)))>l)) | ~(~((f>~(~(m))))) | 1 | 1 | 0 | 0 | entailment |
((o|o)&q) | (~((m>(h>q)))>((o|f)&(l&(m>f)))) | 1 | 0 | 0 | 0 | entailment |
~((((l|o)&~(((o|o)&f)))>l)) | (~((m>(h>q)))>((o|f)&(l&(m>f)))) | 0 | 0 | 0 | 0 | not entailment |
((o|o)&q) | ~(~((f>~(~(m))))) | 0 | 0 | 0 | 0 | not entailment |
((o>h)&((l&m)&h)) | ~(~((f|~(~(l))))) | 1 | 0 | 0 | 0 | entailment |
~(((m|o)|~(((h|h)>(o&m))))) | (~(h)&(h>l)) | 1 | 1 | 0 | 0 | entailment |
((o>h)&((l&m)&h)) | (~(h)&(h>l)) | 0 | 1 | 1 | 0 | not entailment |
~(((m|o)|~(((h|h)>(o&m))))) | ~(~((f|~(~(l))))) | 0 | 1 | 0 | 0 | not entailment |
(~((l>o))&(((h|h)>m)|~(m))) | ~((~(~(~(~((q&(l|h))))))&o)) | 1 | 0 | 0 | 0 | entailment |
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