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 |
|---|---|---|---|---|---|---|
((g>m)&((z|~(m))&((g|g)&~((e&z))))) | ~(e) | 1 | 1 | 1 | 1 | entailment |
((e&z)&m) | ~(e) | 0 | 1 | 1 | 0 | not entailment |
((g>m)&((z|~(m))&((g|g)&~((e&z))))) | ((~(g)|c)|(m&e)) | 0 | 1 | 0 | 0 | not entailment |
~(((m>c)|c)) | ((g|(z>e))>((c>m)|(z&e))) | 1 | 0 | 0 | 0 | entailment |
~((e>(g&e))) | (g>(g>(g>z))) | 1 | 1 | 0 | 0 | entailment |
~(((m>c)|c)) | (g>(g>(g>z))) | 0 | 1 | 0 | 0 | not entailment |
~((e>(g&e))) | ((g|(z>e))>((c>m)|(z&e))) | 0 | 0 | 0 | 0 | not entailment |
~((~((e&~(e)))>(z>(m>g)))) | ((e>~(g))|((c&~(c))&g)) | 1 | 1 | 0 | 0 | entailment |
~(((e>z)|m)) | ~((m|~(~(m)))) | 1 | 0 | 1 | 1 | entailment |
~((~((e&~(e)))>(z>(m>g)))) | ~((m|~(~(m)))) | 0 | 1 | 1 | 0 | not entailment |
~(((e>z)|m)) | ((e>~(g))|((c&~(c))&g)) | 0 | 0 | 0 | 0 | not entailment |
(c&(~(((m&c)>(e&g)))&(c>e))) | (((e|g)>m)>c) | 1 | 1 | 1 | 0 | entailment |
(((e&z)&((m&(e>z))|(g&e)))&~((g&(m|m)))) | ((z&(z>e))&((g|m)&e)) | 1 | 1 | 1 | 0 | entailment |
(c&(~(((m&c)>(e&g)))&(c>e))) | ((z&(z>e))&((g|m)&e)) | 0 | 1 | 0 | 0 | not entailment |
(((e&z)&((m&(e>z))|(g&e)))&~((g&(m|m)))) | (((e|g)>m)>c) | 0 | 1 | 0 | 0 | not entailment |
~(((c>z)|~((~(m)>e)))) | ~(~(c)) | 1 | 1 | 1 | 1 | entailment |
~(((~((m&(g|z)))>z)>c)) | (~(~(g))|~((z>g))) | 1 | 1 | 1 | 0 | entailment |
~(((c>z)|~((~(m)>e)))) | (~(~(g))|~((z>g))) | 0 | 1 | 0 | 0 | not entailment |
~(((~((m&(g|z)))>z)>c)) | ~(~(c)) | 0 | 1 | 1 | 0 | not entailment |
~(~(((c>(c|c))&(~(g)&(~(c)|m))))) | ((c&g)|~(g)) | 1 | 1 | 1 | 0 | entailment |
~(e) | ~(e) | 1 | 1 | 1 | 1 | entailment |
~(~(((c>(c|c))&(~(g)&(~(c)|m))))) | ~(e) | 0 | 1 | 0 | 0 | not entailment |
~(e) | ((c&g)|~(g)) | 0 | 0 | 0 | 0 | not entailment |
((c>z)&(c&e)) | (((~((z&(z&z)))>e)>~((z&g)))>(e>c)) | 1 | 0 | 0 | 0 | entailment |
~(((g&g)>((c|m)|((m>(c|e))&c)))) | ~((((m>g)&c)&((c>m)>((m|~(~(z)))|g)))) | 1 | 0 | 0 | 0 | entailment |
((c>z)&(c&e)) | ~((((m>g)&c)&((c>m)>((m|~(~(z)))|g)))) | 0 | 0 | 0 | 0 | not entailment |
~(((g&g)>((c|m)|((m>(c|e))&c)))) | (((~((z&(z&z)))>e)>~((z&g)))>(e>c)) | 0 | 0 | 0 | 0 | not entailment |
((~(l)>h)&~(x)) | (h|(~(l)>h)) | 1 | 1 | 1 | 1 | entailment |
(x&(p&p)) | ((~(l)&x)|(p&(p|x))) | 1 | 0 | 0 | 0 | entailment |
((~(l)>h)&~(x)) | ((~(l)&x)|(p&(p|x))) | 0 | 0 | 0 | 0 | not entailment |
(x&(p&p)) | (h|(~(l)>h)) | 0 | 0 | 0 | 0 | not entailment |
~((~(l)>(~(h)|g))) | (g>(x|h)) | 1 | 1 | 0 | 0 | entailment |
(f&(~(x)|g)) | (f|((h&p)|~(((f>g)>(~((m&h))&(f>g)))))) | 1 | 0 | 0 | 0 | entailment |
~((~(l)>(~(h)|g))) | (f|((h&p)|~(((f>g)>(~((m&h))&(f>g)))))) | 0 | 0 | 0 | 0 | not entailment |
(f&(~(x)|g)) | (g>(x|h)) | 0 | 1 | 0 | 0 | not entailment |
(((f&p)|(l|g))&~((m|p))) | ~((g&((f|g)&m))) | 1 | 1 | 1 | 0 | entailment |
(g&~(h)) | ~(~((~((l>((f|x)>m)))>(l&g)))) | 1 | 0 | 0 | 0 | entailment |
(((f&p)|(l|g))&~((m|p))) | ~(~((~((l>((f|x)>m)))>(l&g)))) | 0 | 0 | 0 | 0 | not entailment |
(g&~(h)) | ~((g&((f|g)&m))) | 0 | 0 | 0 | 0 | not entailment |
~((((~(((p&g)|h))|p)&(l|g))>(l>p))) | ~(~((((h&f)|(x>l))&((l>((m>l)|g))>l)))) | 1 | 0 | 0 | 0 | entailment |
~((((g>h)|l)>((f|l)|x))) | ~(l) | 1 | 1 | 1 | 1 | entailment |
~((((~(((p&g)|h))|p)&(l|g))>(l>p))) | ~(l) | 0 | 1 | 1 | 0 | not entailment |
~((((g>h)|l)>((f|l)|x))) | ~(~((((h&f)|(x>l))&((l>((m>l)|g))>l)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~((p|h))>g)|(h|(m>g)))) | ~(~(((p&((g&(m&l))&l))>((f&m)&m)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((((f|l)|(g>f))>(g&m))&g))) | (f>(m&(x>g))) | 1 | 1 | 0 | 0 | entailment |
~(((~((p|h))>g)|(h|(m>g)))) | (f>(m&(x>g))) | 0 | 1 | 0 | 0 | not entailment |
~(~(((((f|l)|(g>f))>(g&m))&g))) | ~(~(((p&((g&(m&l))&l))>((f&m)&m)))) | 0 | 0 | 0 | 0 | not entailment |
((l&~((h>m)))&(~(l)>(h>g))) | (m|(l&h)) | 1 | 1 | 1 | 0 | entailment |
(f&(x>g)) | ((g|f)|~(x)) | 1 | 0 | 1 | 1 | entailment |
((l&~((h>m)))&(~(l)>(h>g))) | ((g|f)|~(x)) | 0 | 1 | 0 | 0 | not entailment |
(f&(x>g)) | (m|(l&h)) | 0 | 1 | 0 | 0 | not entailment |
(f&(h&(x|g))) | (~(m)|((h&x)|~((h>x)))) | 1 | 0 | 0 | 0 | entailment |
(x&(g&g)) | (((f&(p&x))|x)&x) | 1 | 0 | 0 | 0 | entailment |
(f&(h&(x|g))) | (((f&(p&x))|x)&x) | 0 | 0 | 0 | 0 | not entailment |
(x&(g&g)) | (~(m)|((h&x)|~((h>x)))) | 0 | 0 | 0 | 0 | not entailment |
(((h&(p|((h|m)&g)))|(g&l))&~(h)) | ((h&p)|(l>(p>g))) | 1 | 1 | 1 | 0 | entailment |
((f|(x|f))&f) | ((~(f)&x)>f) | 1 | 1 | 1 | 0 | entailment |
(((h&(p|((h|m)&g)))|(g&l))&~(h)) | ((~(f)&x)>f) | 0 | 1 | 0 | 0 | not entailment |
((f|(x|f))&f) | ((h&p)|(l>(p>g))) | 0 | 0 | 0 | 0 | not entailment |
((~((x&h))&p)&((h&(~(p)|f))>~((m|h)))) | ~(~((((f|f)|((g|l)>l))>~(~(p))))) | 1 | 1 | 0 | 0 | entailment |
(g&x) | ((((h|f)>((l>m)|l))>((p>g)>~((g>x))))>x) | 1 | 0 | 0 | 0 | entailment |
((~((x&h))&p)&((h&(~(p)|f))>~((m|h)))) | ((((h|f)>((l>m)|l))>((p>g)>~((g>x))))>x) | 0 | 1 | 0 | 0 | not entailment |
(g&x) | ~(~((((f|f)|((g|l)>l))>~(~(p))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((m&p))) | ((~(l)|x)>(((g>f)&g)|(~((l>f))|(m|g)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((((p|h)&(l|x))&~(~(p)))))) | ((((l|l)&p)>~(x))|(m>f)) | 1 | 1 | 0 | 0 | entailment |
~(~((m&p))) | ((((l|l)&p)>~(x))|(m>f)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((((p|h)&(l|x))&~(~(p)))))) | ((~(l)|x)>(((g>f)&g)|(~((l>f))|(m|g)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~((g&l))|(((g|x)&p)>m))))) | (~(~(l))|x) | 1 | 1 | 1 | 1 | entailment |
(((((l>f)|x)|(x|m))>h)&m) | ((h&h)|(h|x)) | 1 | 1 | 1 | 0 | entailment |
~(~(~((~((g&l))|(((g|x)&p)>m))))) | ((h&h)|(h|x)) | 0 | 1 | 0 | 0 | not entailment |
(((((l>f)|x)|(x|m))>h)&m) | (~(~(l))|x) | 0 | 1 | 1 | 0 | not entailment |
~((~((x&g))|(x&m))) | (p|~(m)) | 1 | 1 | 0 | 0 | entailment |
(l&~(p)) | ~((h&(((g|l)&(g&p))&(m|((~(m)>x)>f))))) | 1 | 0 | 0 | 0 | entailment |
~((~((x&g))|(x&m))) | ~((h&(((g|l)&(g&p))&(m|((~(m)>x)>f))))) | 0 | 0 | 0 | 0 | not entailment |
(l&~(p)) | (p|~(m)) | 0 | 1 | 0 | 0 | not entailment |
(f&x) | ((x|m)|~((g>h))) | 1 | 0 | 0 | 0 | entailment |
(((~(l)>m)|(l>p))>~((f|p))) | (h>(g>(p>(m&m)))) | 1 | 1 | 0 | 0 | entailment |
(f&x) | (h>(g>(p>(m&m)))) | 0 | 0 | 0 | 0 | not entailment |
(((~(l)>m)|(l>p))>~((f|p))) | ((x|m)|~((g>h))) | 0 | 1 | 0 | 0 | not entailment |
(~(h)&(~((~((p>g))&h))>(m&f))) | ~(~((f|x))) | 1 | 1 | 0 | 0 | entailment |
(m&(h&((l|x)>(~(x)&((l&x)>~(p)))))) | (~(~((h&p)))|(~(((g|h)&x))>(x>~(l)))) | 1 | 0 | 0 | 0 | entailment |
(~(h)&(~((~((p>g))&h))>(m&f))) | (~(~((h&p)))|(~(((g|h)&x))>(x>~(l)))) | 0 | 0 | 0 | 0 | not entailment |
(m&(h&((l|x)>(~(x)&((l&x)>~(p)))))) | ~(~((f|x))) | 0 | 1 | 0 | 0 | not entailment |
~((((g|f)&m)>l)) | (~((m|(((g>f)>h)>h)))>~(g)) | 1 | 0 | 0 | 0 | entailment |
(~(((f>~(~(~(f))))>(x|~((l&l)))))&g) | (f|l) | 1 | 1 | 1 | 0 | entailment |
~((((g|f)&m)>l)) | (f|l) | 0 | 1 | 1 | 0 | not entailment |
(~(((f>~(~(~(f))))>(x|~((l&l)))))&g) | (~((m|(((g>f)>h)>h)))>~(g)) | 0 | 1 | 0 | 0 | not entailment |
~((((h|m)&m)>(((h>g)|~((x&h)))&m))) | (((m|(p>(x|~(x))))&l)|(l|((x&x)|m))) | 1 | 1 | 0 | 0 | entailment |
(~((~((f|f))>((h|h)&l)))&~(x)) | ~(f) | 1 | 1 | 1 | 1 | entailment |
~((((h|m)&m)>(((h>g)|~((x&h)))&m))) | ~(f) | 0 | 1 | 0 | 0 | not entailment |
(~((~((f|f))>((h|h)&l)))&~(x)) | (((m|(p>(x|~(x))))&l)|(l|((x&x)|m))) | 0 | 0 | 0 | 0 | not entailment |
~(((g>p)|f)) | ~((~(((l&g)|(m|f)))&p)) | 1 | 0 | 0 | 0 | entailment |
(h|h) | ~(~(h)) | 1 | 0 | 1 | 1 | entailment |
~(((g>p)|f)) | ~(~(h)) | 0 | 1 | 0 | 0 | not entailment |
(h|h) | ~((~(((l&g)|(m|f)))&p)) | 0 | 0 | 0 | 0 | not entailment |
((m|~((x|~(m))))&~((x&(p&p)))) | ((~(f)>~((x>x)))>((m|x)|h)) | 1 | 1 | 0 | 0 | entailment |
((g|x)&((h>m)&f)) | (~(~((f&g)))|(p>((l>f)&p))) | 1 | 0 | 0 | 0 | entailment |
((m|~((x|~(m))))&~((x&(p&p)))) | (~(~((f&g)))|(p>((l>f)&p))) | 0 | 1 | 0 | 0 | not entailment |
((g|x)&((h>m)&f)) | ((~(f)>~((x>x)))>((m|x)|h)) | 0 | 0 | 1 | 0 | not entailment |
((((u&m)|m)&y)&((~(u)|j)&j)) | ~(~(~(~(y)))) | 1 | 1 | 1 | 1 | entailment |
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